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125 Commits

Author SHA1 Message Date
db87fb32b0 docs: update aperx/phi-cl/creative-tool 2026-03-19 14:30:41 +00:00
001203722c docs: update aperx/phi-cl/creative-tool 2026-03-19 14:30:13 +00:00
98dd28e379 docs: update aperx/phi-cl/creative-tool 2026-03-19 14:29:03 +00:00
c13c5baf2e docs: update aperx/phi-cl/creative-tool 2026-03-19 14:24:44 +00:00
a5f3e886f9 docs: update aperx/phi-cl/creative-tool 2026-03-19 14:15:33 +00:00
532a9430bc docs: update aperx/phi-cl/megabase 2026-03-19 12:38:25 +00:00
2cd7b1441f docs: update aperx/phi-cl/megabase 2026-03-19 12:38:06 +00:00
3e8f92e4f0 docs: update aperx/phi-cl/megabase 2026-03-19 12:35:51 +00:00
5ca5efa264 docs: update aperx/phi-cl/megabase 2026-03-19 12:28:15 +00:00
ca81194662 docs: update aperx/phi-cl/megabase 2026-03-19 11:21:14 +00:00
eb6b904617 docs: update aperx/phi-cl/megabase 2026-03-19 11:21:05 +00:00
8d05546781 docs: update aperx/phi-cl/megabase 2026-03-19 11:17:21 +00:00
199bee94ff docs: update aperx/phi-cl/megabase 2026-03-19 11:05:39 +00:00
77d479032e docs: update aperx/phi-cl/megabase 2026-03-19 11:05:36 +00:00
3d44d9b83f docs: update aperx/phi-cl/megabase 2026-03-19 11:03:30 +00:00
9cf7774dcb docs: update aperx/phi-cl/megabase 2026-03-19 10:55:14 +00:00
ee9ba216bb docs: update aperx/phi-cl/megabase 2026-03-19 10:54:39 +00:00
2c6efee7c5 docs: update aperx/phi-cl/megabase 2026-03-19 10:32:57 +00:00
7891b97512 docs: update aperx/phi-cl/megabase 2026-03-19 10:29:38 +00:00
18a1c273d3 docs: update aperx/phi-cl/megabase 2026-03-19 10:01:55 +00:00
46599d81eb docs: update aperx/phi-cl/megabase 2026-03-19 10:01:08 +00:00
b620039a4d docs: update aperx/phi-cl/megabase 2026-03-19 09:51:03 +00:00
78535ae4a4 docs: update aperx/phi-cl/megabase 2026-03-19 09:32:39 +00:00
bcbcebc12b docs: update aperx/phi-cl 2026-03-19 09:14:20 +00:00
be165dff2d docs: update aperx/phi-cl/note 2026-03-19 09:13:37 +00:00
b462fada09 docs: update aperx/phi-cl/note 2026-03-19 09:12:52 +00:00
61541c6546 docs: update aperx/phi-cl/note 2026-03-19 09:12:14 +00:00
efe9f5a6d4 docs: update aperx/phi-cl/note 2026-03-19 09:12:01 +00:00
8f915bf1f7 docs: update aperx/phi-cl/note 2026-03-19 09:10:23 +00:00
f579abb7dd docs: create aperx/phi-cl/note 2026-03-19 09:09:53 +00:00
643134e95d docs: update game/factorio/data/science 2026-03-04 17:55:53 +00:00
697a04dabb docs: update game/factorio/data/science 2026-03-04 17:55:47 +00:00
c895bd386a docs: update game/factorio/data/science 2026-03-04 17:55:26 +00:00
d3a16d5ad7 docs: update game/factorio/data/science 2026-03-04 17:55:02 +00:00
9b11aca701 docs: update game/factorio/data/science 2026-03-04 17:51:27 +00:00
30de99e782 docs: update game/factorio/data/science 2026-03-04 17:44:18 +00:00
2c0a8bff08 docs: update game/kingshot 2026-03-04 15:10:25 +00:00
882eb6684a docs: update game/canstin 2026-03-04 15:10:11 +00:00
4ea7322605 docs: update home 2026-03-04 15:09:34 +00:00
eb13cb87af docs: update game/factorio/data/science 2026-03-03 08:55:10 +00:00
d48a200b1f docs: update game/factorio/data/science 2026-03-03 08:54:27 +00:00
8d604b9801 docs: upload game/factorio/rocket-fuel.png 2026-03-03 08:51:58 +00:00
88f94369d4 docs: upload game/factorio/flying-robot-frame.png 2026-03-03 08:51:58 +00:00
9791594c68 docs: upload game/factorio/iron-gear-wheel.png 2026-03-03 08:51:27 +00:00
3be606fb3b docs: upload game/factorio/transport-belt.png 2026-03-03 08:51:23 +00:00
f37a21d739 docs: upload game/factorio/inserter.png 2026-03-03 08:51:23 +00:00
7b23a9f8da docs: upload game/factorio/sulfur.png 2026-03-03 08:51:07 +00:00
a711218bf4 docs: upload game/factorio/engine-unit.png 2026-03-03 08:51:05 +00:00
84566397fe docs: upload game/factorio/electric-engine-unit.png 2026-03-03 08:51:05 +00:00
741ff06ccb docs: upload game/factorio/low-density-structure.png 2026-03-03 08:51:02 +00:00
9afd8abcfe docs: upload game/factorio/electric-furnace.png 2026-03-03 08:51:02 +00:00
0e6e7c241f docs: upload game/factorio/copper-plate.png 2026-03-03 08:50:09 +00:00
1e3529f76a docs: upload game/factorio/iron-plate.png 2026-03-03 08:50:09 +00:00
2d1d1e957c docs: upload game/factorio/steel-plate.png 2026-03-03 08:50:06 +00:00
74003a7a22 docs: upload game/factorio/electronic-circuit.png 2026-03-03 08:50:06 +00:00
cab9cf647e docs: upload game/factorio/advanced-circuit.png 2026-03-03 08:50:04 +00:00
8c58b90b70 docs: upload game/factorio/processing-unit.png 2026-03-03 08:50:04 +00:00
f0a01ffa26 docs: update game/factorio/data/science 2026-03-03 08:48:55 +00:00
31d1abc68c docs: update game/factorio/data/science 2026-03-03 08:43:17 +00:00
c15d82f517 docs: update game/factorio/data/science 2026-03-03 08:41:51 +00:00
85d63ab54d docs: update game/factorio/data/science 2026-03-03 08:41:16 +00:00
91a695181e docs: upload game/factorio/automation-science-pack.png 2026-03-03 08:38:48 +00:00
069bc517de docs: upload game/factorio/chemical-science-pack.png 2026-03-03 08:38:48 +00:00
c8dab3e6c7 docs: upload game/factorio/logistic-science-pack.png 2026-03-03 08:38:45 +00:00
a38d96c627 docs: upload game/factorio/military-science-pack.png 2026-03-03 08:38:45 +00:00
0403e06f26 docs: upload game/factorio/production-science-pack.png 2026-03-03 08:38:42 +00:00
78cee2f1bb docs: upload game/factorio/science.png 2026-03-03 08:38:42 +00:00
ed692437e0 docs: upload game/factorio/space-science-pack.png 2026-03-03 08:38:40 +00:00
b05a44e2a1 docs: upload game/factorio/utility-science-pack.png 2026-03-03 08:38:40 +00:00
9a14f70ef2 docs: update game/factorio/data 2026-03-03 08:29:25 +00:00
8238086b9f docs: create game/factorio/data/science 2026-03-03 08:26:01 +00:00
116766c887 docs: update game/factorio/data 2026-03-03 08:22:37 +00:00
89f611efa8 docs: update game/factorio/data 2026-03-03 08:22:33 +00:00
5314389f74 docs: update game/factorio 2026-03-03 08:21:36 +00:00
12b0322d02 docs: create game/factorio/data 2026-03-03 08:20:41 +00:00
f90570333c docs: update game/kingshot 2026-02-12 07:50:41 +00:00
661663e0df docs: update education/mathematics/binomial-theorem 2026-02-11 17:34:47 +00:00
bda59902f0 docs: update education/mathematics/binomial-theorem 2026-02-11 17:34:27 +00:00
185ec0f5a6 docs: update education/mathematics/binomial-theorem 2026-02-11 17:33:54 +00:00
559ef93dcb docs: update education/mathematics/binomial-theorem 2026-02-11 17:32:23 +00:00
0f58f363e8 docs: update education/mathematics/binomial-theorem 2026-02-11 17:30:42 +00:00
31a88d0d09 docs: update education/mathematics/binomial-theorem 2026-02-11 17:29:22 +00:00
830ed867d0 docs: update education/mathematics/binomial-theorem 2026-02-11 17:27:21 +00:00
f56d286af9 docs: update education/mathematics 2026-02-11 17:25:28 +00:00
fc495b20a9 docs: create education/mathematics/binomial-theorem 2026-02-11 17:24:47 +00:00
efb6c2ca2b docs: update education/mathematics/mathematical-induction 2026-02-11 17:21:47 +00:00
ab584f5e41 docs: update education/mathematics/mathematical-induction 2026-02-11 17:21:19 +00:00
174229b65b docs: update education/mathematics/mathematical-induction 2026-02-11 17:20:56 +00:00
ed4a54ec0f docs: update education/mathematics/mathematical-induction 2026-02-11 17:20:14 +00:00
7176ba3987 docs: update education/mathematics/mathematical-induction 2026-02-11 17:16:01 +00:00
f206f2e03f docs: update education/mathematics 2026-02-11 17:15:40 +00:00
5314b739bc docs: update education/mathematics 2026-02-11 17:15:26 +00:00
06d66811b9 docs: create education/mathematics/mathematical-induction 2026-02-11 17:14:36 +00:00
43d26df93d docs: update education/mathematics 2026-02-11 17:12:57 +00:00
01783df0b8 docs: update education 2026-02-11 17:12:03 +00:00
d90f5c7f49 docs: update home 2026-02-11 17:11:51 +00:00
bbf4cd1dbf docs: create education/mathematics 2026-02-11 17:11:20 +00:00
5a63ad1738 docs: update education/chemistry/1 2026-02-11 16:11:11 +00:00
834f34ecee docs: update home 2026-02-11 16:10:04 +00:00
c09e337161 docs: update education/chemistry/1 2026-02-11 16:06:26 +00:00
d6b52b3032 docs: update education/chemistry/1 2026-02-11 16:02:18 +00:00
2ef742f234 docs: update education/chemistry/1 2026-02-11 15:58:00 +00:00
9afcc7a6d7 docs: update education/chemistry/1 2026-02-11 15:51:27 +00:00
b7043a52b0 docs: update education/chemistry/1 2026-02-11 15:50:25 +00:00
378a41588a docs: update education/chemistry/1 2026-02-11 15:48:59 +00:00
a20ddba060 docs: update education/chemistry/1 2026-02-11 15:42:38 +00:00
8dd80b9c00 docs: update education/chemistry 2026-02-11 15:38:27 +00:00
9f4685770c docs: update education/chemistry/1 2026-02-11 15:38:18 +00:00
7eafbc98c9 docs: update education/chemistry/1 2026-02-11 15:36:14 +00:00
8480474764 docs: update education/chemistry/1 2026-02-11 15:34:58 +00:00
6e6dfc63d3 docs: update education/chemistry/1 2026-02-11 15:31:01 +00:00
8ff3c53460 docs: update education/chemistry/1 2026-02-11 15:28:11 +00:00
be870e399d docs: update education/chemistry/1 2026-02-11 15:25:43 +00:00
1d2e0cd2ae docs: update education/chemistry/1 2026-02-11 15:24:52 +00:00
d2804984d7 docs: update education/chemistry/1 2026-02-11 15:23:21 +00:00
203fc02e12 docs: update education/chemistry/1 2026-02-11 15:22:34 +00:00
cf8f552ec3 docs: update education/chemistry/1 2026-02-11 15:19:55 +00:00
b65a5a44b1 docs: update education/chemistry/1 2026-02-11 15:12:28 +00:00
b0b4b1ba9a docs: update education/chemistry/1 2026-02-11 15:08:48 +00:00
69ccb5a0de docs: update education/chemistry/1 2026-02-11 15:07:18 +00:00
2bbaf7e2db docs: create education/chemistry/1 2026-02-11 14:58:55 +00:00
6bb3bf33a7 docs: create education/chemistry 2026-02-11 14:58:26 +00:00
0f3790ad48 docs: update education/statistics/table 2026-02-11 14:56:01 +00:00
1754ef2241 docs: update education/statistics/table 2026-02-11 14:53:04 +00:00
bdd496fb53 docs: update education/statistics/table 2026-02-11 14:52:50 +00:00
41 changed files with 4600 additions and 125 deletions

View File

@@ -2,7 +2,7 @@
title: PHI-CL
description:
published: true
date: 2025-12-30T16:14:26.715Z
date: 2026-03-19T09:14:19.453Z
tags:
editor: ckeditor
dateCreated: 2025-12-26T05:51:03.280Z
@@ -18,6 +18,11 @@ dateCreated: 2025-12-26T05:51:03.280Z
<tr>
<td style="text-align:center;" colspan="3"><a href="https://mods.factorio.com/mod/PHI-CL"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>PHI-CL</strong></span></a></td>
</tr>
<tr>
<td>&nbsp;</td>
<td>&nbsp;</td>
<td style="text-align:center;"><a href="/aperx/phi-cl/note"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>筆記</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Note</strong></span></td>
</tr>
<tr>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MB</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MBE</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MBM</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MBQ</strong></span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MBE1 ~ MBE2</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MBM1</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>MBQ1 ~ MBQ3</strong></span></td>

View File

@@ -2,10 +2,10 @@
title: 創意測試工具 (Creative Tool)
description:
published: true
date: 2025-12-15T13:27:35.530Z
date: 2026-03-19T14:30:40.438Z
tags:
editor: ckeditor
dateCreated: 2025-06-20T13:15:22.998Z
dateCreated: 2025-12-26T05:51:00.918Z
-->
<figure class="table">
@@ -70,7 +70,7 @@ dateCreated: 2025-06-20T13:15:22.998Z
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>編輯器</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Editor</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>取消隱藏</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Unhide</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>修改</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Change</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>linked-chest</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>連結箱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Linked Chest</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>編輯器</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Editor</strong></span></td>
@@ -101,34 +101,63 @@ dateCreated: 2025-06-20T13:15:22.998Z
<table>
<tbody>
<tr>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:120px;" colspan="3"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
</tr>
<tr>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>總共</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Total</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>原版</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Base</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>太空時代</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Space Age</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>實體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Entity</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td>&nbsp;</td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>物品</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Item</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td>&nbsp;</td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>地圖生成</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Map Generation</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td>&nbsp;</td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>配方</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Recipe</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>29</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>15</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>14</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>修改</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Change</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>實體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Entity</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td>&nbsp;</td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>修改</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Change</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>物品</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Item</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>4</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td>&nbsp;</td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>配方</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Recipe</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>28</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>實體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Entity</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>取消隱藏</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Unhide</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>物品</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Item</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td>&nbsp;</td>
</tr>
</tbody>
</table>

View File

@@ -2,10 +2,10 @@
title: 複合實體 (Megabase)
description:
published: true
date: 2025-12-15T12:51:16.674Z
date: 2026-03-19T12:38:24.772Z
tags:
editor: ckeditor
dateCreated: 2025-06-21T04:53:26.587Z
dateCreated: 2025-12-26T05:51:04.046Z
-->
<figure class="table">
@@ -88,6 +88,64 @@ dateCreated: 2025-06-21T04:53:26.587Z
<p><span style="font-family:Arial, Helvetica, sans-serif;">此設定決定複合發電系統是否啟用。</span><br><span style="font-family:Arial, Helvetica, sans-serif;">一種可以減少使用空間的技術。</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">This setting decide if the compound energy system is enabled.</span><br><span style="font-family:Arial, Helvetica, sans-serif;">A technology to reduce space usage.</span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" colspan="4"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
</tr>
<tr>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>總共</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Total</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>原版</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Base</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>太空時代</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Space Age</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>太空探索</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Space Exploration</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>實體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Entity</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>55</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>38</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>12</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>5</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>配方</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Recipe</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>55</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>38</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>12</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>5</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>研究</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Research</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>7</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>7</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>研究效果</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Research Effect</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>55</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>38</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>12</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>5</strong></span></td>
</tr>
<tr>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>修改</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Change</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>液體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Fluid</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">[MBE1]&nbsp;PHI-MB-ENERGY-POWER-TIER</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">此設定決定電力的最高等級。</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">This setting decide the max power tier.</span></p>
@@ -221,38 +279,6 @@ dateCreated: 2025-06-21T04:53:26.587Z
</table>
</figure>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>實體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Entity</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>42</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>配方</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Recipe</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>42</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>研究</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Research</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>7</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>研究效果</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Research Effect</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>42</strong></span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">[MBE2]&nbsp;PHI-MB-ENERGY-SOLAR-RATIO</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">此設定會更改太陽能板和蓄電池在複合發電中的倍數。</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">This setting decide the multiplier of solar panel or accumulator in compound energy.</span></p>
@@ -261,6 +287,56 @@ dateCreated: 2025-06-21T04:53:26.587Z
<p><span style="font-family:Arial, Helvetica, sans-serif;">此設定決定複合機器系統是否啟用。</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">This setting decide if the compound machine system is enabled.</span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" colspan="6"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
</tr>
<tr>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>總共</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Total</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>原版</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Base</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>太空時代</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Space Age</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>品質</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Quality</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>AAI 工業</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>AAI Industry</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>太空探索</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Space Exploration</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>實體</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Entity</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>114</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>24</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>24</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>6</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>58</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>配方</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Recipe</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>114</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>24</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>24</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>6</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>58</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>研究效果</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Research Effect</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>114</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>24</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>24</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>6</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>58</strong></span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">[MBM1]&nbsp;PHI-MB-MACHINE-TIER</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">此設定決定機器的最高等級。</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">This setting decide the max tier of machine.</span></p>
@@ -277,24 +353,35 @@ dateCreated: 2025-06-21T04:53:26.587Z
<table>
<tbody>
<tr>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>種類</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Category</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;" colspan="3"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數量</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Amount</strong></span></td>
</tr>
<tr>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>總共</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Total</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>原版</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Base</strong></span></td>
<td style="text-align:center;width:120px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>太空時代</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Space Age</strong></span></td>
</tr>
<tr>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="background-color:rgb(245, 245, 245);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>裝甲設備</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Armor Equipment</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>55</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>56</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>48</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>8</strong></span></td>
</tr>
<tr>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="background-color:rgb(245, 245, 245);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>配方</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Recipe</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>55</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>56</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>48</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>8</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>研究效果</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Research Effect</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>55</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>56</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>48</strong></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>8</strong></span></td>
</tr>
</tbody>
</table>

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title: 筆記 (Note)
description:
published: true
date: 2026-03-19T09:13:37.130Z
tags:
editor: ckeditor
dateCreated: 2026-03-19T09:09:52.853Z
-->
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>動作</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Action</strong></span></td>
<td style="border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:160px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>縮寫</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Abbreviation</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>新增</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Add</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>A</strong></span></td>
</tr>
<tr>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;width:160px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>修改</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Change</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>C</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>隱藏</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Hide</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>H</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>取消隱藏</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Unhide</strong></span></td>
<td style="background-color:rgb(250, 250, 250);border-bottom:1px solid rgb(207, 216, 220);border-left:1px solid rgb(207, 216, 220);border-right:1px solid rgb(207, 216, 220);border-top:1px solid rgb(207, 216, 220);padding:0.5rem 0.75rem;text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>U</strong></span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>

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@@ -2,7 +2,7 @@
title: 教育 (Education)
description:
published: true
date: 2025-12-30T16:16:00.513Z
date: 2026-02-11T17:12:02.785Z
tags:
editor: ckeditor
dateCreated: 2025-12-28T16:12:55.293Z
@@ -14,6 +14,12 @@ dateCreated: 2025-12-28T16:12:55.293Z
<tr>
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/chemistry"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>化學</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Chemistry</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/mathematics"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數學</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Mathematics</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/statistics"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>統計學</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Statistics</strong></span></td>
</tr>

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<!--
title: 化學 (Chemistry)
description:
published: true
date: 2026-02-11T15:38:27.113Z
tags:
editor: ckeditor
dateCreated: 2026-02-11T14:58:25.609Z
-->
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/chemistry/1"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></a></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/chemistry/2"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></a></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>

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title: 1
description:
published: true
date: 2026-02-11T16:11:11.266Z
tags:
editor: ckeditor
dateCreated: 2026-02-11T14:58:54.870Z
-->
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Bohr model (1913)</span></h3>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;">Particle</span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;">Symbol</span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;">Relative Charge</span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;">Mass Unit</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Electron</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">e<sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">-1</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">5.4858 x 10<sup>-4</sup></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Proton</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">p<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">+1</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">1.0073</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Neutron</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">n</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">0</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">1.0073</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Element</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Protons = Electrons ⇒ Atom. Neutral.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Protons ≠ Electrons ⇒ Ion. Charged.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Electrons are surrounding the nucleus, consisting of protons and neutrons.</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Mass number are the number of protons and neutrons in the nucleus.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Atomic number are the number of protons in nucleus.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For example, <sup>4</sup><sub>2</sub>He, where mass number is written on top left, and atomic number on bottom left.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Periodic Table</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The elements are arranged in the order of increasing atomic number, from left to right, from up to down.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Each element has a unique atomic number (or the number of proton).</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Electronic arrangement</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The maximum number of electron that a shell can hold is 2(n)<sup>2</sup></span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>N</strong></span></td>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Max e<sup>-</sup></strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">8</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">18</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">4</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">32</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Electronic configuration</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">There are subshells inside the shell.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For example, Cl-17,&nbsp;instead of written 2, 8, 7, we can write more clearly with 2, 2+6, 2+5, that is 1s<sup>2</sup> 2s<sup>2</sup> 2p<sup>6</sup> 3s<sup>2</sup> 3p<sup>5</sup></span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Subshell</strong></span></td>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Orbitals</strong></span></td>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Max e<sup>-</sup></strong></span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name of orbital</strong></span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Historical Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">s</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">s</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Sharp</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">p</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">6</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">p<sub>x</sub>, p<sub>y</sub>, p<sub>z</sub></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Principal</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">d</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">5</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">10</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">d<sub>xy</sub>, d<sub>xz</sub>, d<sub>yz</sub>, d<sub>x<sup>2</sup>-y<sup>2</sup></sub>, d<sub>z<sup>2</sup></sub></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Diffuse</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">f</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">7</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">14</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Fundamental</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">g</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">9</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">18</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:100px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Orbitals</strong></span></td>
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Quantum Number</strong></span></td>
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Specify</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">n</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;Principal</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">The shell of electron belong to</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">l</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Angular Momentum</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">The subshell of electron occupies</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">m</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Magnetic</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">The orientation of orbital</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">s</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Spin</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">If the electron is spin up or down</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Electrons in boxes diagram</span></p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">⇡⇣&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;⇡⇣</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">1s</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">2s</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;" colspan="3"><span style="font-family:Arial, Helvetica, sans-serif;">2p</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">3s</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;" colspan="3"><span style="font-family:Arial, Helvetica, sans-serif;">3p</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Aufbau principle</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The lowest energy subshell or orbital will be filled first</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">1s &lt; 2s &lt; 2p &lt; 3s &lt; 3p &lt; 4s &lt; 3d</span><br><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Imagine drawing a line from right to left.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">You should be able to find out that 4s subshell has a lower energy than 3d subshell this way.</span><br><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>n</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>1</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">1s</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>2</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">2s</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">2p&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>4</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>5</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>3</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">3s</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">3p&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">3d</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>6</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>7</strong></span></td>
</tr>
<tr>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>4</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">4s</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">4p&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">4d</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">4f</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>8</strong></span></td>
</tr>
<tr>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>5</strong></span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">5s</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">5p&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">5d</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">5f</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
<tr>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:60px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Pauli's exclusion principle</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Each orbital can be occupied by no more than 2 electrons.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If 2 electrons occupy the same orbital, they must have opposite spins.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Hund's rule</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Electron must occupy each orbital singly before pairing.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Exception: Half and full filled orbital</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The electronic configuration of Cr (Chromium) and Cu (Copper) do not follow the order. The outer subshell become half or fully filled to gain extra stability.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">It is also because that 4s and 3d energy difference is small.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Periodic table groups</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Group 1 - Alkali metal</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Group 2 - Alkaline earth metal</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Group 17 (7) - Halogen</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Group 18 (8) - Noble gas</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Noble gases are stable in atomic form because the outermost shell are fully filled.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Other element tend to lose, gain or share electron to achieve nearest fully filled electronic structure, that is duplet or octet structure.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Cation</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Atom that loses e-, +ve ions</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Usually group 1 and 2. Like Li<sup>+</sup>, Na<sup>+</sup>, Mg<sup>2+</sup></span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For transition metal, 4s electron will be lost first. Like Ti<sup>2+</sup>, Cu<sup>+</sup></span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:150px;">&nbsp;</td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Color (Water)</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Li<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Lithium ion</span></td>
<td style="text-align:center;" rowspan="10"><span style="font-family:Arial, Helvetica, sans-serif;">Colorless</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Na<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Sodium ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">K<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Potassium ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Ag<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Silver ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Mg<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Magnesium ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Ca<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Calcium ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Zn<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Zinc ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Pb<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Lead (II) ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Al<sup>3+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Aluminium ion&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">NH<sub>4</sub><sup>+</sup></span><br><span style="font-family:Arial, Helvetica, sans-serif;">(Polyatomic)</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Ammonium ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">H<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Hydrogen ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Combined</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Cu<sup>+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Copper (I) ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Insoluble</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Cu<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Copper (II) ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Greenish blue</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Fe<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Iron (II) ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Pale green</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Fe<sup>3+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Iron (III) ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Yellow</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Ni<sup>2+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Nickel (II) ion&nbsp;</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Green</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Cr<sup>3+</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Chromium (III) ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Green</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Anion</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Atom that gains e-, -ve ions</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Usually group 5 to 7. Like N<sup>3-</sup>, S<sup>2-</sup>, Cl<sup>-</sup></span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:150px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Composition</strong></span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Color (Water)</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">O<sup>2-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Oxide ion</span></td>
<td style="text-align:center;" rowspan="7"><span style="font-family:Arial, Helvetica, sans-serif;">Monoatomic</span></td>
<td style="text-align:center;" rowspan="3"><span style="font-family:Arial, Helvetica, sans-serif;">React</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">S<sup>2-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Sulphide ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">N<sup>3-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Nitride ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">F<sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Fluoride ion</span></td>
<td style="text-align:center;" rowspan="12"><span style="font-family:Arial, Helvetica, sans-serif;">Colorless</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Cl<sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Chloride ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Br<sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Bromide ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">I<sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Iodide ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">OH<sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Hydroxide ion</span></td>
<td style="text-align:center;" rowspan="10"><span style="font-family:Arial, Helvetica, sans-serif;">Polyatomic</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">NO<sub>2</sub><sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Nitrite ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">NO<sub>3</sub><sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Nitrate ion&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">SO<sub>3</sub><sup>2-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Sulphite ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">SO<sub>4</sub><sup>2-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Sulphate ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">HSO<sub>4</sub><sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Hydrogensulphate ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">CO<sub>3</sub><sup>2-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Carbonate ion&nbsp;</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">HCO<sub>3</sub><sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Hydrogencarbonate ion</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">MnO<sub>4</sub><sup>-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Permanganate ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Purple</span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Cr<sub>2</sub>O<sub>7</sub><sup>2-</sup></span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Dichromate ion</span></td>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Orange</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Isoelectronic</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If they have the same number of electrons</span></p>
<p>&nbsp;</p>
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:150px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Na<sup>+</sup></span></td>
<td style="text-align:center;" rowspan="3"><span style="font-family:Arial, Helvetica, sans-serif;">10e<sup>-</sup></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Mg<sup>2+</sup></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">N<sup>3-</sup></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">S<sup>2-</sup></span></td>
<td style="text-align:center;" rowspan="2"><span style="font-family:Arial, Helvetica, sans-serif;">18e<sup>-</sup></span></td>
</tr>
<tr>
<td style="text-align:center;"><span style="font-family:Arial, Helvetica, sans-serif;">Cl<sup>-</sup></span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">Isotopes</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">If they have the same number of protons but different amount of neutrons</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For example, <sup>12</sup><sub>6</sub>C (Carbon-12) and <sup>14</sup><sub>6</sub>C (Carbon-14)</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The chemical properties will be the same as they have the same number of electron.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The physical property will be slightly different.&nbsp;</span></p>
<p>&nbsp;</p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Iodine-131 is used in the detection and therapy of thyroid tumours.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Iron-59 is used to monitor red blood cell production in bone marrow.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Fluorine-18 is used for Positron Emission Tomography (PET) imaging tumors in oncology.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Technetium-99m is used as a radioactive tracer and can be detected in the body by medical equipment (gamma cameras).</span></p>

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<td style="text-align:center;"><a href="/education/mathematics/mathematical-induction"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數學歸納法</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Mathematical Induction</strong></span></td>
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<td style="text-align:center;"><a href="/education/mathematics/binomial-theorem"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>二項式定理</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Binomial Theorem</strong></span></td>
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<h2><span style="font-family:Arial, Helvetica, sans-serif;">Fundamental Principle</span></h2>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Mathematical induction is a method used to prove that a statement holds true for all natural numbers k.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Let P(n) be a statement defined for each positive integer n.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Then P(n) will be true for all positive integers n if the following two conditions are satisfied:</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">(1) P(1) is true.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">(2) P(k) is true for some integer k + 1 implies that P(k + 1) is true.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Because all the other values can use the result from the (1) and (2),</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Therefore, you can conclude that all the conditions with integers n are true.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">E1 Example</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">Q Prove the following for all positive n:</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">A For n = 1,&nbsp;</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The statement is true for n = 1.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For n = k + 1, Assume the statement is true for some integer k ≥ 1.</span></p>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<figure class="image"><img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKgAAAA8CAMAAADFYgHTAAAAAXNSR0IArs4c6QAAAHhQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6Ojo6OjqQOmaQOpC2OpDbZgAAZjoAZjo6ZmaQZpDbZrbbZrb/kDoAkDo6kGY6kNv/tmYAtpBmttv/tv//25A627Zm27aQ29u22////7Zm/9uQ/9u2//+2///bVtB+VQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAEnQAABJ0Ad5mH3gAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACbklEQVRoQ+1YDVPDIAwt6lzVuU2d1eGs03bj//9DKSSsfJTC1GvrwZ1XPcPLywsNabIsraRAUiApkBRICiQFflkB9nb3Hg9ZLnbxm360gxX3XxyAkss4uvXts9+vECAYtjdwViylP3rd8A1Y+4etsKpv5LNjoQB+WLZfEzJrgPoCr0BIRbjtlxWWaoe1kr7UOBi2gGfD6naUbLLDSnDwB86KuWR2XDkyaROtF7sSz4iObNiCADasQbRxXxLhWw/cSFSdA7/qYpt9ELlDLYeiHA+J6mrptiiADevArKRbr6QNkFhNOHW+0ePwE80oZENs0m1RABvWgUll6M7Th4QUUe6UvZjZ7yPaPqS6LeLasI7jhFnVAjdSj3k8rpYHeJvBghJcKDr8Q6X+VChsWyBqwDoxT0L6Cg9GXueE2IXkfEUhGgesialeZ3+FRKL8qU5B6MvkO6MA5oA1idK5qt8+RfHQc5s6h9IfSpTntbNCAFEHrEFU1KRKAvnOKAjfPPjP56N+O7lTj2fWV0elAC5Yozo01xujgqgeuPEyZbIwC5sqnxmNhk2UvfLDTK6esKJ1qS8FcMGaN5N4ZQXRvqvJSrgZS8fffly8mgPB7MCtjdA8RABK054mwlu9nc56mhx+Qv6mH40VoK97ilYyeEOcAL39aLDfZDhVBTp7jGkEpDqksfwyDdnkhd/VXk4ohkQ1KfDfFTiNZUYeaWssM26m4lMHxjLjZtqwg7HM+InCWGb0RNWwbeRM47+QhgmoNZYZhkCo19ZYJnTLIHbtscwgBAKdig9yGMsEbhnGDFrdcycuw5BOXpMCSYGkwD9V4BuMFjU4viUa6QAAAABJRU5ErkJggg=="></figure>
<figure class="image"><img src="data:image/png;base64,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"></figure>
<p><span style="font-family:Arial, Helvetica, sans-serif;">The statement is true for n = k + 1. By the principle of mathematical induction, the statement is true for all positive integers n.</span></p>
<p>&nbsp;</p>
<h2><span style="font-family:Arial, Helvetica, sans-serif;">Variation</span></h2>
<p><span style="font-family:Arial, Helvetica, sans-serif;">There were cases where proof for each positive integer was needed, instead of all the integers.</span></p>
<p>&nbsp;</p>
<h3><span style="font-family:Arial, Helvetica, sans-serif;">For instance:</span></h3>
<p><span style="font-family:Arial, Helvetica, sans-serif;">When n is in a range.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For all positive odd integers n.</span></p>
<p><span style="font-family:Arial, Helvetica, sans-serif;">For all positive real numbers.</span></p>

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@@ -2,7 +2,7 @@
title: 杖劍傳説:坎斯汀之約 (Canstin)
description:
published: true
date: 2025-12-30T16:11:45.932Z
date: 2026-03-04T15:10:11.429Z
tags:
editor: ckeditor
dateCreated: 2025-12-26T05:51:08.058Z
@@ -15,19 +15,19 @@ dateCreated: 2025-12-26T05:51:08.058Z
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin/charm"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>寶石</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Charm</strong></span></td>
<td style="text-align:center;"><a href="/game/canstin/charm"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>寶石</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Charm</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin/class"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>職業</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Class</strong></span></td>
<td style="text-align:center;"><a href="/game/canstin/class"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>職業</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Class</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin/map"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>地圖</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Map</strong></span></td>
<td style="text-align:center;"><a href="/game/canstin/map"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>地圖</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Map</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin/partner"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>夥伴</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Partner</strong></span></td>
<td style="text-align:center;"><a href="/game/canstin/partner"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>夥伴</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Partner</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin/timetable"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>時間表</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Timetable</strong></span></td>
<td style="text-align:center;"><a href="/game/canstin/timetable"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>時間表</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Timetable</strong></s></span></td>
</tr>
</tbody>
</table>

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@@ -2,7 +2,7 @@
title: FACTORIO
description:
published: true
date: 2026-01-14T15:47:20.583Z
date: 2026-03-03T08:21:35.652Z
tags:
editor: ckeditor
dateCreated: 2026-01-14T13:12:33.907Z
@@ -14,6 +14,9 @@ dateCreated: 2026-01-14T13:12:33.907Z
<tr>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>組別名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Group Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/factorio/data"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>資料</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Data</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/factorio/scenario"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>場景</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Scenario</strong></span></td>
</tr>

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<!--
title: 資料 (Data)
description:
published: true
date: 2026-03-03T08:29:25.387Z
tags:
editor: ckeditor
dateCreated: 2026-03-03T08:20:40.472Z
-->
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:200px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>組別名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Group Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/factorio/data/science"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>科研</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Science</strong></span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>

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@@ -0,0 +1,63 @@
<!--
title: 科研 (Science)
description:
published: true
date: 2026-03-04T17:55:52.864Z
tags:
editor: ckeditor
dateCreated: 2026-03-03T08:26:00.535Z
-->
<figure class="table">
<table>
<tbody>
<tr>
<td style="text-align:center;width:1050px;" colspan="3"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>材料</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Ingredient</strong></span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>產出科研包</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Result Pack</strong></span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">銅板</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Copper Plate</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">鐵齒輪</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Iron Gear Wheel</span></td>
<td style="text-align:center;width:350px;">&nbsp;</td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">自動化科研包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Automation Science Pack</span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">輸送帶</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Transport Belt</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">機械臂</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Inserter</span></td>
<td style="text-align:center;width:350px;">&nbsp;</td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">物流科技包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Logistic Science Pack</span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">手榴彈</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Grenade</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">穿甲彈匣</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Piercing Rounds Magazine</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span><br><span style="font-family:Arial, Helvetica, sans-serif;">石牆</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Stone Wall</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span><br><span style="font-family:Arial, Helvetica, sans-serif;">軍事科技包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Military Science Pack</span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span><br><span style="font-family:Arial, Helvetica, sans-serif;">高階電路板</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Advanced Circuit</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span><br><span style="font-family:Arial, Helvetica, sans-serif;">引擎機組</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Engine Unit</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">硫磺</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Sulfur</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span><br><span style="font-family:Arial, Helvetica, sans-serif;">化學科技包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Chemical Science Pack</span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">電爐</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Electric Furnace</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">產能組件</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Productivity Module</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">30</span><br><span style="font-family:Arial, Helvetica, sans-serif;">鐵軌</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Rail</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span><br><span style="font-family:Arial, Helvetica, sans-serif;">生產科技包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Production Science Pack</span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1</span><br><span style="font-family:Arial, Helvetica, sans-serif;">飛行無人機骨架</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Flying Robot Frame</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span><br><span style="font-family:Arial, Helvetica, sans-serif;">輕量化材料</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Low Density Structure</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">2</span><br><span style="font-family:Arial, Helvetica, sans-serif;">處理器</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Processing Unit</span></td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">3</span><br><span style="font-family:Arial, Helvetica, sans-serif;">實用科技包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Utility Science Pack</span></td>
</tr>
<tr>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">&nbsp;</span></td>
<td style="text-align:center;width:350px;">&nbsp;</td>
<td style="text-align:center;width:350px;">&nbsp;</td>
<td style="text-align:center;width:350px;"><span style="font-family:Arial, Helvetica, sans-serif;">1,000</span><br><span style="font-family:Arial, Helvetica, sans-serif;">太空科技包</span><br><span style="font-family:Arial, Helvetica, sans-serif;">Space Science Pack</span></td>
</tr>
</tbody>
</table>
</figure>
<p>&nbsp;</p>

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@@ -2,7 +2,7 @@
title: KINGSHOT
description:
published: true
date: 2025-12-30T16:12:48.203Z
date: 2026-03-04T15:10:25.070Z
tags:
editor: ckeditor
dateCreated: 2025-12-26T05:51:14.804Z
@@ -15,40 +15,40 @@ dateCreated: 2025-12-26T05:51:14.804Z
<td style="text-align:center;width:300px;"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>名稱</strong></span><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Name</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="https://aperx.org/ks_calc.html"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>打熊計算機</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Bear Calculator</strong></span></td>
<td style="text-align:center;"><a href="https://aperx.org/ks_calc.html"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>打熊計算機</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Bear Calculator</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/cesares"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>切薩雷</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Cesares</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/cesares"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>切薩雷</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Cesares</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/governor"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>領主</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Governor</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/governor"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>領主</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Governor</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/hero-gear"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>英雄裝備</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Hero Gear</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/hero-gear"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>英雄裝備</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Hero Gear</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/hero-stat"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>英雄數據</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Hero Stat</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/hero-stat"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>英雄數據</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Hero Stat</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/migration"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>移民</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Migration</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/migration"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>移民</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Migration</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/mobilisation"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>聯盟總動員</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Mobilisation</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/mobilisation"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>聯盟總動員</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Mobilisation</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/pet-stat"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>寵物數據</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Pet Stat</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/pet-stat"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>寵物數據</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Pet Stat</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/troop-stat"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>士兵數據</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Troop Stat</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/troop-stat"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>士兵數據</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Troop Stat</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/truegold"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>黃金</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Truegold</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/truegold"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>黃金</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Truegold</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/viking"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>維京</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Viking</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/viking"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>維京</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Viking</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/kingshot/war-academy"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>戰爭學院</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>War Academy</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot/war-academy"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>戰爭學院</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>War Academy</strong></s></span></td>
</tr>
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</table>

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@@ -2,7 +2,7 @@
title: 主頁 (Home)
description:
published: true
date: 2025-12-30T16:16:08.255Z
date: 2026-03-04T15:09:34.361Z
tags:
editor: ckeditor
dateCreated: 2025-11-06T13:05:11.794Z
@@ -20,14 +20,23 @@ dateCreated: 2025-11-06T13:05:11.794Z
<td style="text-align:center;"><a href="/aperx/phi-cl"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>PHI-CL</strong></span></a></td>
</tr>
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<td style="text-align:center;" rowspan="2"><a href="/game"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>遊戲</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Game</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>KINGSHOT</strong></span></a></td>
<td style="text-align:center;" rowspan="3"><a href="/game"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>遊戲</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Game</strong></span></td>
<td style="text-align:center;"><a href="/game/factorio"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>異星工廠</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>FACTORIO</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>杖劍傳説:坎斯汀之約</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Canstin</strong></span></td>
<td style="text-align:center;"><a href="/game/kingshot"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>KINGSHOT</strong></s></span></a></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/game/canstin"><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>杖劍傳説:坎斯汀之約</strong></s></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><s><strong>Canstin</strong></s></span></td>
</tr>
<tr>
<td style="text-align:center;" rowspan="3"><a href="/education"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>教育</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Education</strong></span></td>
<td style="text-align:center;"><a href="/education/chemistry"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>化學</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Chemistry</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education/mathematics"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>數學</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Mathematics</strong></span></td>
</tr>
<tr>
<td style="text-align:center;"><a href="/education"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>教育</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Education</strong></span></td>
<td style="text-align:center;"><a href="/education/statistics"><span style="font-family:Arial, Helvetica, sans-serif;"><strong>統計學</strong></span></a><br><span style="font-family:Arial, Helvetica, sans-serif;"><strong>Statistics</strong></span></td>
</tr>
</tbody>