{"id":2842,"date":"2022-04-01T15:18:51","date_gmt":"2022-04-01T06:18:51","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=2842"},"modified":"2023-03-14T16:35:27","modified_gmt":"2023-03-14T07:35:27","slug":"maxima-%e3%81%a7%e3%81%a7%e3%81%8d%e3%82%8b%e7%a9%8d%e5%88%86%e3%81%8c-sympy-%e3%81%a7%e3%81%a7%e3%81%8d%e3%81%aa%e3%81%84%e3%81%93%e3%81%a8%e3%82%82%e3%81%82%e3%82%8b","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/","title":{"rendered":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b"},"content":{"rendered":"<p><!--more--><\/p>\n<ul>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e9%9d%99%e9%9b%bb%e5%a0%b4%ef%bc%9a%e9%9b%bb%e8%8d%b7%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9b%bb%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/%e5%8f%82%e8%80%83%ef%bc%9a%e9%9d%99%e9%9b%bb%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b%e9%9a%9b%e3%81%ab%e4%bd%bf%e3%81%a3%e3%81%9f%e7%a9%8d%e5%88%86%e3%82%92-maxima-jupyter-%e3%81%a7%e7%a2%ba\/\">\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b<\/a><\/li>\n<li><a href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/%e9%9b%bb%e7%a3%81%e6%b0%97%e5%ad%a6-i\/%e9%9d%99%e7%a3%81%e5%a0%b4%ef%bc%9a%e9%9b%bb%e6%b5%81%e5%af%86%e5%ba%a6%e3%81%8b%e3%82%89%e7%9b%b4%e6%8e%a5%e9%9d%99%e7%a3%81%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b\/%e5%8f%82%e8%80%83%ef%bc%9a%e9%9d%99%e7%a3%81%e5%a0%b4%e3%82%92%e6%b1%82%e3%82%81%e3%82%8b%e9%9a%9b%e3%81%ab%e4%bd%bf%e3%81%a3%e3%81%9f%e7%a9%8d%e5%88%86%e3%82%92-maxima-jupyter-%e3%81%a7%e7%a2%ba\/\">\u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b<\/a><\/li>\n<\/ul>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092-SymPy-\u3067\u78ba\u8a8d\u3059\u308b\u3068...\">\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 SymPy \u3067\u78ba\u8a8d\u3059\u308b\u3068&#8230;<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy.abc<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">I<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"n\">E<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">pip<\/span> <span class=\"n\">show<\/span> <span class=\"n\">sympy<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Name: sympy\r\nVersion: 1.10.1\r\nSummary: Computer algebra system (CAS) in Python\r\nHome-page: https:\/\/sympy.org\r\nAuthor: SymPy development team\r\nAuthor-email: sympy@googlegroups.com\r\nLicense: BSD\r\nLocation: \/usr\/local\/lib\/python3.8\/dist-packages\r\nRequires: mpmath\r\nRequired-by: einsteinpy\r\nNote: you may need to restart the kernel to use updated packages.\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"1\">1<\/h4>\n<p>$$\\int_{-\\infty}^{\\infty}<br \/>\n\\frac{1}{\\left(x^2 + y^2 + (z-z&#8217;)^2\\right)^{3\/2}} dz&#8217; =\u00a0 \\frac{2}{x^2 + y^2}$$<\/p>\n<p>\u306e\u78ba\u8a8d\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># from sympy.abc import * \u6e08\u307f\u306a\u306e\u3067\uff0c\u6b8b\u308a\u306e\u5909\u6570\u306e\u307f\u3092\u5ba3\u8a00<\/span>\r\n\r\n<span class=\"n\">z1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Symbol<\/span><span class=\"p\">(<\/span><span class=\"s1\">'z1'<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">integrate<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">z1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">oo<\/span><span class=\"p\">,<\/span> <span class=\"n\">oo<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[4]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle \\int\\limits_{-\\infty}^{\\infty} \\frac{1}{\\left(x^{2} + y^{2} + \\left(z &#8211; z_{1}\\right)^{2}\\right)^{\\frac{3}{2}}}\\, dz_{1}$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>SymPy \u306f\u8a08\u7b97\u3067\u304d\u306a\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"2\">2<\/h4>\n<p>$$\\int_{-\\infty}^{\\infty}<br \/>\n\\frac{z &#8211; z&#8217;}{\\left(x^2 + y^2 + (z-z&#8217;)^2\\right)^{3\/2}} dz&#8217; = \\int_{-\\infty}^{\\infty}<br \/>\n\\frac{Z}{\\left(x^2 + y^2 + Z^2\\right)^{3\/2}} dZ =0$$<\/p>\n<p>\u306e\u78ba\u8a8d\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">integrate<\/span><span class=\"p\">((<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">z1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">oo<\/span><span class=\"p\">,<\/span> <span class=\"n\">oo<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[5]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle 0$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3053\u308c\u306f SymPy \u3067\u3082\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"3\">3<\/h4>\n<p>$$\\int_{-\\infty}^{\\infty} \\int_{-\\infty}^{\\infty}\\frac{x }{\\left(x^2 + (y-y&#8217;)^2 + (z-z&#8217;)^2\\right)^{3\/2}}dy&#8217; dz&#8217; = 2 \\pi \\frac{x}{|x|}$$<\/p>\n<p>\u306e\u78ba\u8a8d\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">y1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Symbol<\/span><span class=\"p\">(<\/span><span class=\"s1\">'y1'<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">integrate<\/span><span class=\"p\">(<\/span>\r\n    <span class=\"n\">integrate<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">y1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">oo<\/span><span class=\"p\">,<\/span> <span class=\"n\">oo<\/span><span class=\"p\">)),<\/span> \r\n    <span class=\"p\">(<\/span><span class=\"n\">z1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">oo<\/span><span class=\"p\">,<\/span> <span class=\"n\">oo<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[7]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle 2 x \\int\\limits_{-\\infty}^{\\infty} \\frac{1}{\\operatorname{polar\\_lift}{\\left(x^{2} + \\operatorname{polar\\_lift}^{2}{\\left(z &#8211; z_{1} \\right)} \\right)}}\\, dz_{1}$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>SymPy \u306f <code>polar_lift<\/code> \u306a\u3069\u3068\u3044\u3046\u602a\u3057\u3052\u306a\u6587\u53e5\u3092\u8a00\u3044\u306a\u304c\u3089\u8a08\u7b97\u3057\u3066\u304f\u308c\u306a\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h3 id=\"\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092-SymPy-\u3067\u78ba\u8a8d\u3059\u308b\u3068...\">\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 SymPy \u3067\u78ba\u8a8d\u3059\u308b\u3068&#8230;<\/h3>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[1]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy.abc<\/span> <span class=\"kn\">import<\/span> <span class=\"o\">*<\/span>\r\n<span class=\"kn\">from<\/span> <span class=\"nn\">sympy<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">I<\/span><span class=\"p\">,<\/span> <span class=\"n\">pi<\/span><span class=\"p\">,<\/span> <span class=\"n\">E<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[2]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">pip<\/span> <span class=\"n\">show<\/span> <span class=\"n\">sympy<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt\"><\/div>\n<div class=\"output_subarea output_stream output_stdout output_text\">\n<pre>Name: sympy\r\nVersion: 1.10.1\r\nSummary: Computer algebra system (CAS) in Python\r\nHome-page: https:\/\/sympy.org\r\nAuthor: SymPy development team\r\nAuthor-email: sympy@googlegroups.com\r\nLicense: BSD\r\nLocation: \/usr\/local\/lib\/python3.8\/dist-packages\r\nRequires: mpmath\r\nRequired-by: einsteinpy\r\nNote: you may need to restart the kernel to use updated packages.\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"1\">1<\/h4>\n<p>$$\\int_{-\\infty}^{\\infty}<br \/>\n\\frac{1}{\\left(x^2 + y^2 + (z-z&#8217;)^2\\right)^{3\/2}} dz&#8217; =\u00a0 \\frac{2}{x^2 + y^2}$$<\/p>\n<p>\u306e\u78ba\u8a8d\u3002\uff08\u96fb\u5834\u3092\u6c42\u3081\u308b\u3068\u304d\u306b\u3082\u51fa\u307e\u3057\u305f\u3002\uff09<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[3]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"c1\"># from sympy.abc import * \u6e08\u307f\u306a\u306e\u3067\uff0c\u6b8b\u308a\u306e\u5909\u6570\u306e\u307f\u3092\u5ba3\u8a00<\/span>\r\n\r\n<span class=\"n\">z1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">Symbol<\/span><span class=\"p\">(<\/span><span class=\"s1\">'z1'<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[4]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">integrate<\/span><span class=\"p\">(<\/span><span class=\"mi\">1<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">y<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">z1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">oo<\/span><span class=\"p\">,<\/span> <span class=\"n\">oo<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[4]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle \\int\\limits_{-\\infty}^{\\infty} \\frac{1}{\\left(x^{2} + y^{2} + \\left(z &#8211; z_{1}\\right)^{2}\\right)^{\\frac{3}{2}}}\\, dz_{1}$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>SymPy \u306f\u8a08\u7b97\u3067\u304d\u306a\u3044\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"2\">2<\/h4>\n<p>$$\\int_{-\\infty}^{\\infty}<br \/>\n\\frac{z &#8211; z&#8217;}{\\left((x-x&#8217;)^2 + (y-y&#8217;)^2 + (z-z&#8217;)^2\\right)^{3\/2}} dz&#8217; =0$$<\/p>\n<p>\u306e\u78ba\u8a8d\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[5]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">x1<\/span><span class=\"p\">,<\/span> <span class=\"n\">y1<\/span> <span class=\"o\">=<\/span> <span class=\"n\">symbols<\/span><span class=\"p\">(<\/span><span class=\"s1\">'x1 y1'<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[6]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">integrate<\/span><span class=\"p\">((<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">((<\/span><span class=\"n\">x<\/span><span class=\"o\">-<\/span><span class=\"n\">x1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">y<\/span><span class=\"o\">-<\/span><span class=\"n\">y1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"p\">(<\/span><span class=\"n\">z<\/span><span class=\"o\">-<\/span><span class=\"n\">z1<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span><span class=\"p\">)<\/span><span class=\"o\">**<\/span><span class=\"mi\">3<\/span><span class=\"p\">),<\/span> <span class=\"p\">(<\/span><span class=\"n\">z1<\/span><span class=\"p\">,<\/span> <span class=\"o\">-<\/span><span class=\"n\">oo<\/span><span class=\"p\">,<\/span> <span class=\"n\">oo<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[6]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle 0$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u3053\u308c\u306f SymPy \u3067\u3082\u8a08\u7b97\u3067\u304d\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<h4 id=\"3\">3<\/h4>\n<p>\\begin{eqnarray}<br \/>\n\\int_0^{2\\pi}\u00a0 \\,d\\phi&#8217;\u00a0 \\frac{ a^2\u00a0 &#8211; a\u00a0 y\\sin\\phi&#8217; &#8211; a x\\cos\\phi&#8217;\u00a0 }{x^2 + y^2 + a^2 &#8211; 2 a x \\cos\\phi&#8217; &#8211; 2 a y \\sin\\phi&#8217; } &amp;&amp; \\\\<br \/>\n= \\left\\{<br \/>\n\\begin{array}{ll}<br \/>\n2\\pi\u00a0 &amp; (a &gt; \\sqrt{x^2 + y^2})\\\\<br \/>\n0 &amp; (a &lt; \\sqrt{x^2 + y^2})<br \/>\n\\end{array}<br \/>\n\\right.<br \/>\n\\end{eqnarray}<\/p>\n<p>\u306e\u78ba\u8a8d\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>\u4e0a\u8a18\u306e\u307e\u307e\u3060\u3068\u56fa\u307e\u308b\u306e\u3067\uff0c$y=0$ \u306e\u5834\u5408\u306b\u3057\u3066\u89e3\u304f\u3068&#8230;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[7]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">phi1<\/span><span class=\"o\">=<\/span><span class=\"n\">Symbol<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"phi1\"<\/span><span class=\"p\">)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[8]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">Integral<\/span><span class=\"p\">((<\/span><span class=\"n\">a<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"n\">a<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">*<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">phi1<\/span><span class=\"p\">))<\/span>\r\n          <span class=\"o\">\/<\/span><span class=\"p\">(<\/span><span class=\"n\">x<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">+<\/span> <span class=\"n\">a<\/span><span class=\"o\">**<\/span><span class=\"mi\">2<\/span> <span class=\"o\">-<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">a<\/span><span class=\"o\">*<\/span><span class=\"n\">x<\/span><span class=\"o\">*<\/span><span class=\"n\">cos<\/span><span class=\"p\">(<\/span><span class=\"n\">phi1<\/span><span class=\"p\">)),<\/span> \r\n         <span class=\"p\">(<\/span><span class=\"n\">phi1<\/span><span class=\"p\">,<\/span> <span class=\"mi\">0<\/span><span class=\"p\">,<\/span> <span class=\"mi\">2<\/span><span class=\"o\">*<\/span><span class=\"n\">pi<\/span><span class=\"p\">))<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[8]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle \\int\\limits_{0}^{2 \\pi} \\frac{a^{2} &#8211; a x \\cos{\\left(\\phi_{1} \\right)}}{a^{2} &#8211; 2 a x \\cos{\\left(\\phi_{1} \\right)} + x^{2}}\\, d\\phi_{1}$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing code_cell rendered\">\n<div class=\"input\">\n<div class=\"prompt input_prompt\">In\u00a0[9]:<\/div>\n<div class=\"inner_cell\">\n<div class=\"input_area\">\n<div class=\" highlight hl-ipython3\">\n<pre><span class=\"n\">_<\/span><span class=\"o\">.<\/span><span class=\"n\">doit<\/span><span class=\"p\">()<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"output_wrapper\">\n<div class=\"output\">\n<div class=\"output_area\">\n<div class=\"prompt output_prompt\">Out[9]:<\/div>\n<div class=\"output_latex output_subarea output_execute_result\">$\\displaystyle \\pi$<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"cell border-box-sizing text_cell rendered\">\n<div class=\"prompt input_prompt\"><\/div>\n<div class=\"inner_cell\">\n<div class=\"text_cell_render border-box-sizing rendered_html\">\n<p>SymPy \u306f\uff0c\u4e0a\u8a18\u306e\u3088\u3046\u306b\u9593\u9055\u3063\u305f\u7d50\u679c\u3092\u51fa\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":33,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[12],"tags":[],"class_list":["post-2842","post","type-post","status-publish","format-standard","hentry","category-sympy","nodate","item-wrap"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"kasai\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 5.0.0.1\" \/>\n\t\t<meta property=\"og:locale\" content=\"ja_JP\" \/>\n\t\t<meta property=\"og:site_name\" content=\"\u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba -\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba\" \/>\n\t\t<meta property=\"og:description\" content=\"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2022-04-01T06:18:51+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2023-03-14T07:35:27+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba\" \/>\n\t\t<meta name=\"twitter:description\" content=\"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BlogPosting\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#blogposting\",\"name\":\"Maxima \\u3067\\u3067\\u304d\\u308b\\u7a4d\\u5206\\u304c SymPy \\u3067\\u3067\\u304d\\u306a\\u3044\\u3053\\u3068\\u3082\\u3042\\u308b - \\u76f8\\u5bfe\\u8ad6\\u306e\\u7406\\u89e3\\u3068\\u305d\\u306e\\u5468\\u8fba\",\"headline\":\"Maxima \\u3067\\u3067\\u304d\\u308b\\u7a4d\\u5206\\u304c SymPy \\u3067\\u3067\\u304d\\u306a\\u3044\\u3053\\u3068\\u3082\\u3042\\u308b\",\"author\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/author\\\/kasai\\\/#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/#organization\"},\"datePublished\":\"2022-04-01T15:18:51+09:00\",\"dateModified\":\"2023-03-14T16:35:27+09:00\",\"inLanguage\":\"ja\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#webpage\"},\"articleSection\":\"SymPy &amp; SPB\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity#listItem\",\"position\":1,\"name\":\"\\u30db\\u30fc\\u30e0\",\"item\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/#listItem\",\"name\":\"Python\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/#listItem\",\"position\":2,\"name\":\"Python\",\"item\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/sympy\\\/#listItem\",\"name\":\"SymPy &amp; SPB\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity#listItem\",\"name\":\"\\u30db\\u30fc\\u30e0\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/sympy\\\/#listItem\",\"position\":3,\"name\":\"SymPy &amp; SPB\",\"item\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/sympy\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#listItem\",\"name\":\"Maxima \\u3067\\u3067\\u304d\\u308b\\u7a4d\\u5206\\u304c SymPy \\u3067\\u3067\\u304d\\u306a\\u3044\\u3053\\u3068\\u3082\\u3042\\u308b\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/#listItem\",\"name\":\"Python\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#listItem\",\"position\":4,\"name\":\"Maxima \\u3067\\u3067\\u304d\\u308b\\u7a4d\\u5206\\u304c SymPy \\u3067\\u3067\\u304d\\u306a\\u3044\\u3053\\u3068\\u3082\\u3042\\u308b\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/category\\\/python\\\/sympy\\\/#listItem\",\"name\":\"SymPy &amp; SPB\"}}]},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/#organization\",\"name\":\"Understanding Theory of Relativity\",\"url\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/author\\\/kasai\\\/#author\",\"url\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/author\\\/kasai\\\/\",\"name\":\"kasai\",\"image\":{\"@type\":\"ImageObject\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#authorImage\",\"url\":\"https:\\\/\\\/secure.gravatar.com\\\/avatar\\\/ffe4e9dacb5afd407e0f828ebef108080a5caedc052005aa63b5b233cd260f49?s=96&d=mm&r=g\",\"width\":96,\"height\":96,\"caption\":\"kasai\"}},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#webpage\",\"url\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/\",\"name\":\"Maxima \\u3067\\u3067\\u304d\\u308b\\u7a4d\\u5206\\u304c SymPy \\u3067\\u3067\\u304d\\u306a\\u3044\\u3053\\u3068\\u3082\\u3042\\u308b - \\u76f8\\u5bfe\\u8ad6\\u306e\\u7406\\u89e3\\u3068\\u305d\\u306e\\u5468\\u8fba\",\"description\":\"\\u53c2\\u8003\\uff1a\\u9759\\u96fb\\u5834\\u3092\\u6c42\\u3081\\u308b\\u969b\\u306b\\u4f7f\\u3063\\u305f\\u7a4d\\u5206\\u3092 Maxima-Jupyter \\u3067\\u78ba\\u8a8d\\u3059\\u308b \\u53c2\\u8003\\uff1a\\u9759\\u78c1\\u5834\\u3092\\u6c42\\u3081\\u308b\\u969b\\u306b\\u4f7f\\u3063\\u305f\",\"inLanguage\":\"ja\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/#website\"},\"breadcrumb\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/2842\\\/#breadcrumblist\"},\"author\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/author\\\/kasai\\\/#author\"},\"creator\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/author\\\/kasai\\\/#author\"},\"datePublished\":\"2022-04-01T15:18:51+09:00\",\"dateModified\":\"2023-03-14T16:35:27+09:00\"},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/#website\",\"url\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/\",\"name\":\"\\u76f8\\u5bfe\\u8ad6\\u306e\\u7406\\u89e3\\u3068\\u305d\\u306e\\u5468\\u8fba\",\"inLanguage\":\"ja\",\"publisher\":{\"@id\":\"https:\\\/\\\/home.hirosaki-u.ac.jp\\\/relativity\\\/#organization\"}}]}\n\t\t<\/script>\n\t\t<!-- All in One SEO -->\n\n","aioseo_head_json":{"title":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba","description":"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f","canonical_url":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/","robots":"max-image-preview:large","keywords":"","webmasterTools":{"miscellaneous":""},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"BlogPosting","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#blogposting","name":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba","headline":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b","author":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/author\/kasai\/#author"},"publisher":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/#organization"},"datePublished":"2022-04-01T15:18:51+09:00","dateModified":"2023-03-14T16:35:27+09:00","inLanguage":"ja","mainEntityOfPage":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#webpage"},"isPartOf":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#webpage"},"articleSection":"SymPy &amp; SPB"},{"@type":"BreadcrumbList","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#breadcrumblist","itemListElement":[{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity#listItem","position":1,"name":"\u30db\u30fc\u30e0","item":"https:\/\/home.hirosaki-u.ac.jp\/relativity","nextItem":{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/#listItem","name":"Python"}},{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/#listItem","position":2,"name":"Python","item":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/","nextItem":{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/sympy\/#listItem","name":"SymPy &amp; SPB"},"previousItem":{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity#listItem","name":"\u30db\u30fc\u30e0"}},{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/sympy\/#listItem","position":3,"name":"SymPy &amp; SPB","item":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/sympy\/","nextItem":{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#listItem","name":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b"},"previousItem":{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/#listItem","name":"Python"}},{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#listItem","position":4,"name":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b","previousItem":{"@type":"ListItem","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/category\/python\/sympy\/#listItem","name":"SymPy &amp; SPB"}}]},{"@type":"Organization","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/#organization","name":"Understanding Theory of Relativity","url":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/"},{"@type":"Person","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/author\/kasai\/#author","url":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/author\/kasai\/","name":"kasai","image":{"@type":"ImageObject","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#authorImage","url":"https:\/\/secure.gravatar.com\/avatar\/ffe4e9dacb5afd407e0f828ebef108080a5caedc052005aa63b5b233cd260f49?s=96&d=mm&r=g","width":96,"height":96,"caption":"kasai"}},{"@type":"WebPage","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#webpage","url":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/","name":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba","description":"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f","inLanguage":"ja","isPartOf":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/#website"},"breadcrumb":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/#breadcrumblist"},"author":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/author\/kasai\/#author"},"creator":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/author\/kasai\/#author"},"datePublished":"2022-04-01T15:18:51+09:00","dateModified":"2023-03-14T16:35:27+09:00"},{"@type":"WebSite","@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/#website","url":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/","name":"\u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba","inLanguage":"ja","publisher":{"@id":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/#organization"}}]},"og:locale":"ja_JP","og:site_name":"\u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba -","og:type":"article","og:title":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba","og:description":"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f","og:url":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/2842\/","article:published_time":"2022-04-01T06:18:51+00:00","article:modified_time":"2023-03-14T07:35:27+00:00","twitter:card":"summary","twitter:title":"Maxima \u3067\u3067\u304d\u308b\u7a4d\u5206\u304c SymPy \u3067\u3067\u304d\u306a\u3044\u3053\u3068\u3082\u3042\u308b - \u76f8\u5bfe\u8ad6\u306e\u7406\u89e3\u3068\u305d\u306e\u5468\u8fba","twitter:description":"\u53c2\u8003\uff1a\u9759\u96fb\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f\u7a4d\u5206\u3092 Maxima-Jupyter \u3067\u78ba\u8a8d\u3059\u308b \u53c2\u8003\uff1a\u9759\u78c1\u5834\u3092\u6c42\u3081\u308b\u969b\u306b\u4f7f\u3063\u305f"},"aioseo_meta_data":{"post_id":"2842","title":null,"description":null,"keywords":[],"keyphrases":{"focus":{"keyphrase":"","score":0,"analysis":{"keyphraseInTitle":{"score":0,"maxScore":9,"error":1}}},"additional":[]},"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":"","og_custom_url":null,"og_article_section":null,"og_article_tags":[],"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":null,"isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":"{\"article\":{\"articleType\":\"BlogPosting\"},\"course\":{\"name\":\"\",\"description\":\"\",\"provider\":\"\"},\"faq\":{\"pages\":[]},\"product\":{\"reviews\":[]},\"recipe\":{\"ingredients\":[],\"instructions\":[],\"keywords\":[]},\"software\":{\"reviews\":[],\"operatingSystems\":[]},\"webPage\":{\"webPageType\":\"WebPage\"}}","pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":"-1","robots_max_videopreview":"-1","robots_max_imagepreview":"large","priority":null,"frequency":"default","local_seo":null,"breadcrumb_settings":null,"limit_modified_date":false,"ai":null,"created":"2022-05-30 06:51:47","updated":"2023-04-13 11:29:20","seo_analyzer_scan_date":null,"focus_keyword":null,"additional_keywords":null,"truseo_locale":null},"_links":{"self":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/2842","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/users\/33"}],"replies":[{"embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/comments?post=2842"}],"version-history":[{"count":2,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/2842\/revisions"}],"predecessor-version":[{"id":2844,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/posts\/2842\/revisions\/2844"}],"wp:attachment":[{"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/media?parent=2842"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/categories?post=2842"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/wp-json\/wp\/v2\/tags?post=2842"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}