Dash-math_Database / paths.json
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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
}