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| { | |
| "chapters": [ | |
| { | |
| "name": "Ch14", | |
| "path": "/Ch14", | |
| "title": "第十四章:偏導數", | |
| "folder": "pages/Ch14", | |
| "cards": [ | |
| { | |
| "title": "14-1 多變數函數", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "多變數", | |
| "blue" | |
| ], | |
| [ | |
| "基礎", | |
| "green" | |
| ] | |
| ], | |
| "description": [ | |
| "了解多變數函數定義", | |
| "學會等高線及等高曲面", | |
| "能畫出圖形" | |
| ], | |
| "link": "/Ch14_1", | |
| "test": "/Ch14_1/test/" | |
| }, | |
| { | |
| "title": "14-2 極限與連續", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "連續", | |
| "blue" | |
| ], | |
| [ | |
| "極限", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "極限與連續" | |
| ], | |
| "link": "/Ch14_2", | |
| "test": "/Ch14_2/test/" | |
| }, | |
| { | |
| "title": "14-3 偏導數", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "偏導數", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "偏導數", | |
| "計算" | |
| ], | |
| "link": "/Ch14_3", | |
| "test": "/Ch14_3/test/" | |
| }, | |
| { | |
| "title": "14-4 切平面和線性近似", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "切平面和線性近似", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "切平面", | |
| "線性近似" | |
| ], | |
| "link": "/Ch14_4", | |
| "test": "/Ch14_4/test/" | |
| }, | |
| { | |
| "title": "14-5 連鎖律", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "連鎖律", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "連鎖律", | |
| "合成函數求導" | |
| ], | |
| "link": "/Ch14_5", | |
| "test": "/Ch14_5/test/" | |
| }, | |
| { | |
| "title": "14-6 方向導數和梯度向量", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "方向導數和梯度向量", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "方向導數", | |
| "梯度向量" | |
| ], | |
| "link": "/Ch14_6", | |
| "test": "/Ch14_6/test/" | |
| }, | |
| { | |
| "title": "14-7 極值", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "極值", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "臨界點", | |
| "二階判別" | |
| ], | |
| "link": "/Ch14_7", | |
| "test": "/Ch14_7/test/" | |
| }, | |
| { | |
| "title": "14-8 拉格朗日乘數", | |
| "badges": [ | |
| [ | |
| "CH14", | |
| "pink" | |
| ], | |
| [ | |
| "拉格朗日乘數", | |
| "orange" | |
| ] | |
| ], | |
| "description": [ | |
| "限制式極值", | |
| "拉格朗日乘數" | |
| ], | |
| "link": "/Ch14_8", | |
| "test": "/Ch14_8/test/" | |
| } | |
| ], | |
| "nav_label": "第十四章:偏導數", | |
| "nav_icon": "mdi:number-14-box-multiple-outline", | |
| "sections": [ | |
| { | |
| "label": "第十四章總覽", | |
| "href": "/Ch14", | |
| "icon": "tabler:square-rounded-number-0" | |
| }, | |
| { | |
| "label": "CH14_1:多變數函數", | |
| "href": "/Ch14_1", | |
| "icon": "tabler:square-rounded-number-1" | |
| }, | |
| { | |
| "label": "CH14_2:極限和連續", | |
| "href": "/Ch14_2", | |
| "icon": "tabler:square-rounded-number-2" | |
| }, | |
| { | |
| "label": "CH14_3:偏導數", | |
| "href": "/Ch14_3", | |
| "icon": "tabler:square-rounded-number-3" | |
| }, | |
| { | |
| "label": "CH14_4:切平面和線性近似", | |
| "href": "/Ch14_4", | |
| "icon": "tabler:square-rounded-number-4" | |
| }, | |
| { | |
| "label": "CH14_5:連鎖律", | |
| "href": "/Ch14_5", | |
| "icon": "tabler:square-rounded-number-5" | |
| }, | |
| { | |
| "label": "CH14_6:方向導數和梯度向量", | |
| "href": "/Ch14_6", | |
| "icon": "tabler:square-rounded-number-6" | |
| }, | |
| { | |
| "label": "CH14_7:極值", | |
| "href": "/Ch14_7", | |
| "icon": "tabler:square-rounded-number-7" | |
| }, | |
| { | |
| "label": "CH14_8:拉格朗日乘數", | |
| "href": "/Ch14_8", | |
| "icon": "tabler:square-rounded-number-8" | |
| } | |
| ] | |
| } | |
| ], | |
| "tasks": [ | |
| { | |
| "name": "Ch14_1", | |
| "md": "pages/Ch14/C14_1/Md_14_1.md", | |
| "out": "pages/Ch14/C14_1/exported_result_14_1.json" | |
| }, | |
| { | |
| "name": "Ch14_2", | |
| "md": "pages/Ch14/C14_2/Md_14_2.md", | |
| "out": "pages/Ch14/C14_2/exported_result_14_2.json" | |
| }, | |
| { | |
| "name": "Ch14_3", | |
| "md": "pages/Ch14/C14_3/Md_14_3.md", | |
| "out": "pages/Ch14/C14_3/exported_result_14_3.json" | |
| }, | |
| { | |
| "name": "Ch14_4", | |
| "md": "pages/Ch14/C14_4/Md_14_4.md", | |
| "out": "pages/Ch14/C14_4/exported_result_14_4.json" | |
| }, | |
| { | |
| "name": "Ch14_5", | |
| "md": "pages/Ch14/C14_5/Md_14_5.md", | |
| "out": "pages/Ch14/C14_5/exported_result_14_5.json" | |
| }, | |
| { | |
| "name": "Ch14_6", | |
| "md": "pages/Ch14/C14_6/Md_14_6.md", | |
| "out": "pages/Ch14/C14_6/exported_result_14_6.json" | |
| }, | |
| { | |
| "name": "Ch14_7", | |
| "md": "pages/Ch14/C14_7/Md_14_7.md", | |
| "out": "pages/Ch14/C14_7/exported_result_14_7.json" | |
| }, | |
| { | |
| "name": "Ch14_8", | |
| "md": "pages/Ch14/C14_8/Md_14_8.md", | |
| "out": "pages/Ch14/C14_8/exported_result_14_8.json" | |
| } | |
| ], | |
| "up_to_date": false | |
| } |