Edit "高频公式表" (#169)

assets/data/blog/cheatsheet/index.json

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+{"hash":"gridsome","data":{"label":{"id":"blog: cheatsheet","name":"cheatsheet","type":"blog","belongsTo":{"edges":[{"node":{"id":"77","title":"换源集合","path":"/post/pkg-source/","summary":"\n<p>各种换源，我要的都在这里了。针对天朝就不用国际语言了 <g-emoji class=\"g-emoji\" alias=\"smile\" fallback-src=\"https://github.githubassets.com/images/icons/emoji/unicode/1f604.png\">😄</g-emoji></p>\n","createdAt":"2020-02-28T14:29:13.000Z","lastEditedAt":"2021-01-28T09:45:10.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"81","title":"Linux (Ubuntu) Cheatsheet","path":"/post/linux-cht/","summary":"\n<p>Useful commands and tips about system operation. Things more about scripting is in <a href=\"https://allanchain.github.io/blog/post/bash\" rel=\"nofollow\">Bash Cheatsheet</a></p>\n","createdAt":"2020-04-18T04:48:27.000Z","lastEditedAt":"2020-06-30T06:59:29.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"82","title":"Bash Cheatsheet","path":"/post/bash-cht/","summary":"","createdAt":"2020-04-18T04:48:39.000Z","lastEditedAt":"2020-06-30T06:59:32.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"83","title":"FFmpeg Cheatsheet","path":"/post/ffmpeg-cht/","summary":"","createdAt":"2020-03-21T23:56:57.000Z","lastEditedAt":"2020-06-30T09:14:31.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"84","title":"Markdown Cheatsheet","path":"/post/markdown-cht/","summary":"\n<p>Tricks which are less known to markdown starters</p>\n","createdAt":"2020-04-18T04:48:51.000Z","lastEditedAt":"2020-07-17T15:18:28.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"85","title":"Vim Cheatsheet","path":"/post/vim-cht/","summary":"","createdAt":"2020-04-18T04:48:56.000Z","lastEditedAt":"2020-07-01T13:01:11.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"},{"id":"tag: vim"}]}},{"node":{"id":"86","title":"Windows CMD Cheatsheet","path":"/post/win-cmd-cht/","summary":"","createdAt":"2020-04-18T04:49:03.000Z","lastEditedAt":"2020-08-06T13:16:42.000Z","image":null,"imageLazy":"","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"154","title":"Git CheatSheet","path":"/post/git-cht/","summary":"","createdAt":"2020-12-09T07:32:18.000Z","lastEditedAt":"2021-03-20T05:04:22.000Z","image":"/blog/img/4f1e424e.png","imageLazy":"AGAAkDASIAAhEBAxEB/8QAFgABAQE$AIE/8QAGhABAAMAAwAAAAAAAAAAAAAAAQACESEx8P/EABQBAQ$AAD/xAAUEQE$AAA/9oADAMBAAIRAxEAPwDM2rfNEV5fdyIiB//Z","labels":[{"id":"blog: cheatsheet"}]}},{"node":{"id":"169","title":"高频公式表","path":"/post/freq-formula/","summary":"\n<p>名书镇贴</p>\n<p>东西慢慢加进来好了，顺便看看公式渲染的情况。</p>\n","createdAt":"2021-04-05T00:51:35.000Z","lastEditedAt":"2021-04-05T01:01:29.000Z","image":"/blog/img/9553808b.jpg","imageLazy":"AEAAkDASIAAhEBAxEB/8QAFgABAQE$AED/8QAGBABAQAD$ESITH/xAAVAQEB$ADBP/EABQRAQ$AAD/2gAMAwEAAhEDEQA/AM+zaYwFAn//2Q==","labels":[{"id":"blog: cheatsheet"}]}}]}}},"context":{}}

assets/data/post/freq-formula/index.json

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-{"hash":"gridsome","data":{"post":{"id":"169","title":"高频公式表","summary":"\n<p>名书镇贴</p>\n<p>东西慢慢加进来好了，顺便看看公式渲染的情况。</p>\n","body":"\n<h5>\n      <a id=\"article-柱坐标系下的梯度散度旋度公式\" class=\"anchor-hover hash-link\" href=\"#柱坐标系下的梯度散度旋度公式\">\n      #</a> 柱坐标系下的梯度散度旋度公式</h5>\n<p>$$<br>\n(\\nabla u)<em>r = \\frac{\\partial u}{\\partial r},\\ (\\nabla u)</em>{\\theta} = \\frac 1 r  \\frac{\\partial u}{\\partial \\theta},\\ (\\nabla u)_z = \\frac{\\partial u}{\\partial z}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\cdot \\mathbf{A} = \\frac 1 r \\frac{\\partial (r A_r)}{\\partial r} +  \\frac 1 r \\frac{\\partial A_{\\theta}}{\\partial \\theta} + \\frac{\\partial A_z}{\\partial z}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\times \\mathbf{A} = \\frac 1 r \\left[\\frac{\\partial A_z}{\\partial \\theta} - \\frac{\\partial (rA_{\\theta})}{\\partial z}\\right]\\mathbf{e_r} + \\left[\\frac{\\partial A_r}{\\partial z} - \\frac{\\partial A_z}{\\partial r}\\right]\\mathbf{e_{\\theta}} + \\frac 1 r \\left[\\frac{\\partial (rA_{\\theta})}{\\partial r} - \\frac{\\partial A_r}{\\partial \\theta}\\right]\\mathbf{e_z}<br>\n$$</p>\n<h5>\n      <a id=\"article-球坐标系下的梯度散度旋度公式\" class=\"anchor-hover hash-link\" href=\"#球坐标系下的梯度散度旋度公式\">\n      #</a> 球坐标系下的梯度散度旋度公式</h5>\n<p>$$<br>\n(\\nabla u)<em>r = \\frac{\\partial u}{\\partial r},\\ (\\nabla u)</em>{\\theta} = \\frac 1 r  \\frac{\\partial u}{\\partial \\theta},\\ (\\nabla u)_{\\phi} = \\frac{1}{r \\sin \\theta} \\frac{\\partial u}{\\partial \\phi}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\cdot \\mathbf{A} = \\frac{1}{r^2} \\frac{\\partial (r^2 A_r)}{\\partial r} +  \\frac{1}{r \\sin \\theta} \\frac{\\partial (\\sin \\theta A_{\\theta})}{\\partial \\theta} + \\frac{1}{r \\sin \\theta} \\frac{\\partial A_{\\phi}}{\\partial \\phi}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\times \\mathbf{A} = \\frac{1}{r \\sin \\theta} \\left[\\frac{\\partial (\\sin \\theta A_{\\phi})}{\\partial \\theta} - \\frac{\\partial A_{\\theta}}{\\partial \\phi}\\right]\\mathbf{e_r} + \\frac 1 r \\left[\\frac{1}{\\sin \\theta}\\frac{\\partial A_r}{\\partial \\phi} - \\frac{\\partial (r A_{\\phi})}{\\partial r}\\right]\\mathbf{e_{\\theta}} + \\frac 1 r \\left[\\frac{\\partial (rA_{\\theta})}{\\partial r} - \\frac{\\partial A_r}{\\partial \\theta}\\right]\\mathbf{e_{\\phi}}<br>\n$$</p>","createdAt":"2021-04-05T00:51:35.000Z","lastEditedAt":"2021-04-05T00:51:35.000Z","image":"/blog/img/9553808b.jpg","imageLazy":"AEAAkDASIAAhEBAxEB/8QAFgABAQE$AED/8QAGBABAQAD$ESITH/xAAVAQEB$ADBP/EABQRAQ$AAD/2gAMAwEAAhEDEQA/AM+zaYwFAn//2Q==","serializedHeadings":"[{\"level\":5,\"slug\":\"柱坐标系下的梯度散度旋度公式\",\"content\":\"柱坐标系下的梯度散度旋度公式\"},{\"level\":5,\"slug\":\"球坐标系下的梯度散度旋度公式\",\"content\":\"球坐标系下的梯度散度旋度公式\"}]","labels":[{"id":"blog: cheatsheet"}]}},"context":{}}
+{"hash":"gridsome","data":{"post":{"id":"169","title":"高频公式表","summary":"\n<p>名书镇贴</p>\n<p>东西慢慢加进来好了，顺便看看公式渲染的情况。</p>\n","body":"\n<h5>\n      <a id=\"article-柱坐标系下的梯度散度旋度公式\" class=\"anchor-hover hash-link\" href=\"#柱坐标系下的梯度散度旋度公式\">\n      #</a> 柱坐标系下的梯度散度旋度公式</h5>\n<p>$$<br>\n(\\nabla u)_r = \\frac{\\partial u}{\\partial r},\\ (\\nabla u)_{\\theta} = \\frac 1 r  \\frac{\\partial u}{\\partial \\theta},\\ (\\nabla u)_z = \\frac{\\partial u}{\\partial z}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\cdot \\mathbf{A} = \\frac 1 r \\frac{\\partial (r A_r)}{\\partial r} +  \\frac 1 r \\frac{\\partial A_{\\theta}}{\\partial \\theta} + \\frac{\\partial A_z}{\\partial z}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\times \\mathbf{A} = \\frac 1 r \\left[\\frac{\\partial A_z}{\\partial \\theta} - \\frac{\\partial (rA_{\\theta})}{\\partial z}\\right]\\mathbf{e_r} + \\left[\\frac{\\partial A_r}{\\partial z} - \\frac{\\partial A_z}{\\partial r}\\right]\\mathbf{e_{\\theta}} + \\frac 1 r \\left[\\frac{\\partial (rA_{\\theta})}{\\partial r} - \\frac{\\partial A_r}{\\partial \\theta}\\right]\\mathbf{e_z}<br>\n$$</p>\n<h5>\n      <a id=\"article-球坐标系下的梯度散度旋度公式\" class=\"anchor-hover hash-link\" href=\"#球坐标系下的梯度散度旋度公式\">\n      #</a> 球坐标系下的梯度散度旋度公式</h5>\n<p>$$<br>\n(\\nabla u)_r = \\frac{\\partial u}{\\partial r},\\ (\\nabla u)_{\\theta} = \\frac 1 r  \\frac{\\partial u}{\\partial \\theta},\\ (\\nabla u)_{\\phi} = \\frac{1}{r \\sin \\theta} \\frac{\\partial u}{\\partial \\phi}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\cdot \\mathbf{A} = \\frac{1}{r^2} \\frac{\\partial (r^2 A_r)}{\\partial r} +  \\frac{1}{r \\sin \\theta} \\frac{\\partial (\\sin \\theta A_{\\theta})}{\\partial \\theta} + \\frac{1}{r \\sin \\theta} \\frac{\\partial A_{\\phi}}{\\partial \\phi}<br>\n$$</p>\n<p>$$<br>\n\\nabla \\times \\mathbf{A} = \\frac{1}{r \\sin \\theta} \\left[\\frac{\\partial (\\sin \\theta A_{\\phi})}{\\partial \\theta} - \\frac{\\partial A_{\\theta}}{\\partial \\phi}\\right]\\mathbf{e_r} + \\frac 1 r \\left[\\frac{1}{\\sin \\theta}\\frac{\\partial A_r}{\\partial \\phi} - \\frac{\\partial (r A_{\\phi})}{\\partial r}\\right]\\mathbf{e_{\\theta}} + \\frac 1 r \\left[\\frac{\\partial (rA_{\\theta})}{\\partial r} - \\frac{\\partial A_r}{\\partial \\theta}\\right]\\mathbf{e_{\\phi}}<br>\n$$</p>","createdAt":"2021-04-05T00:51:35.000Z","lastEditedAt":"2021-04-05T01:01:29.000Z","image":"/blog/img/9553808b.jpg","imageLazy":"AEAAkDASIAAhEBAxEB/8QAFgABAQE$AED/8QAGBABAQAD$ESITH/xAAVAQEB$ADBP/EABQRAQ$AAD/2gAMAwEAAhEDEQA/AM+zaYwFAn//2Q==","serializedHeadings":"[{\"level\":5,\"slug\":\"柱坐标系下的梯度散度旋度公式\",\"content\":\"柱坐标系下的梯度散度旋度公式\"},{\"level\":5,\"slug\":\"球坐标系下的梯度散度旋度公式\",\"content\":\"球坐标系下的梯度散度旋度公式\"}]","labels":[{"id":"blog: cheatsheet"}]}},"context":{}}