{"id":6012,"date":"2023-10-30T17:27:57","date_gmt":"2023-10-30T08:27:57","guid":{"rendered":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/?p=6012"},"modified":"2023-10-30T17:27:46","modified_gmt":"2023-10-30T08:27:46","slug":"sympy-plotting-backends-%e3%81%a7%e9%9b%bb%e5%a0%b4%e3%83%99%e3%82%af%e3%83%88%e3%83%ab%e3%81%ae%e6%96%b9%e5%90%91%e5%a0%b4%e3%82%92%e6%8f%8f%e3%81%8f","status":"publish","type":"post","link":"https:\/\/home.hirosaki-u.ac.jp\/relativity\/6012\/","title":{"rendered":"SymPy Plotting Backends \u3067\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f"},"content":{"rendered":"
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\u6b63\u8ca0\u306e\u70b9\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834\u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\u3092 Python \u306e SymPy Plotting Backends (SPB)<\/a> \u3067\u63cf\u304f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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\u6b63\u8ca0\u306e\u70b9\u96fb\u8377\u304c\u3064\u304f\u308b\u96fb\u5834<\/h3>\n

$\\boldsymbol{r}_1$ \u306b\u3042\u308b\u6b63\u96fb\u8377 $q\\ (>0)$ \u3068\uff0c$\\boldsymbol{r}_2$ \u306b\u3042\u308b\u8ca0\u96fb\u8377 $-q$ \u304c\u3064\u304f\u308b\u96fb\u5834\u30d9\u30af\u30c8\u30eb $\\boldsymbol{E}$ \u306f<\/p>\n

\\begin{eqnarray}
\n\\boldsymbol{E}
\n&=& \\frac{q}{4\\pi \\varepsilon_0} \\frac{\\boldsymbol{r} – \\boldsymbol{r}_1}{|\\boldsymbol{r} – \\boldsymbol{r}_1|^3}
\n– \\frac{q}{4\\pi \\varepsilon_0} \\frac{\\boldsymbol{r} – \\boldsymbol{r}_2}{|\\boldsymbol{r} – \\boldsymbol{r}_2|^3}
\n\\end{eqnarray}<\/p>\n

$z=0$ \u306e $xy$ \u5e73\u9762\u30672\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f\u3002\u9069\u5b9c\u7121\u6b21\u5143\u5316\u3092\u884c\u3044\uff0c
\n$\\displaystyle \\frac{q}{4\\pi \\varepsilon_0}\\rightarrow 1$ \u3068\u3059\u308b\u3002\u307e\u305f\uff0c<\/p>\n

$$\\boldsymbol{r} = (x, y, 0), \\quad \\boldsymbol{r}_1 = (0, 1, 0),
\n\\quad \\boldsymbol{r}_2 = (0, -1, 0)$$<\/p>\n

\u3068\u3059\u308b\u3068\uff0c<\/p>\n

$$E_x = \\frac{x}{\\left(x^2 + (y-1)^2\\right)^{3\/2}}-\\frac{x}{\\left(x^2 + (y+1)^2\\right)^{3\/2}}$$$$E_y = \\frac{y-1}{\\left(x^2 + (y-1)^2\\right)^{3\/2}}-
\n\\frac{y+1}{\\left(x^2 + (y+1)^2\\right)^{3\/2}}$$<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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$\\boldsymbol{E}$ \u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\uff08\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u5834\uff09<\/h3>\n

\u4e00\u822c\u306b\u30d9\u30af\u30c8\u30eb\u306f\u5927\u304d\u3055\u3068\u5411\u304d\u3092\u8868\u3059\u3002\u96fb\u5834 $\\boldsymbol{E}$ \u306e\u5927\u304d\u3055\u306f\u96fb\u8377\u304b\u3089\u306e\u8ddd\u96e2\u306e2\u4e57\u306b\u53cd\u6bd4\u4f8b\u3059\u308b\u306e\u3067\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u304c\u5927\u304d\u304f\u5909\u5316\u3059\u308b\u3002\u898b\u3084\u3059\u304f\u3059\u308b\u305f\u3081\u306b\uff0c\u4ee5\u4e0b\u306e\u3088\u3046\u306b $\\boldsymbol{E}$ \u306e\u5411\u304d\u3092\u8868\u3059\u65b9\u5411\u5834\uff0c\u3059\u306a\u308f\u3061\u5927\u304d\u3055\u304c $1$ \u306e\u5358\u4f4d\u30d9\u30af\u30c8\u30eb\u5834\u3092\u5b9a\u7fa9\u3057\u3066\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u306e\u307f\u3092\u6b63\u3057\u304f\u63cf\u753b\u3059\u308b\u3053\u3068\u3082\u5fc5\u8981\u306b\u306a\u308b\u5834\u5408\u304c\u3042\u308b\u304b\u3082\u3057\u308c\u306a\u3044\u3002<\/p>\n

$$\\hat{\\boldsymbol{E}} \\equiv \\frac{\\boldsymbol{E}}{\\sqrt{\\boldsymbol{E}\\cdot\\boldsymbol{E}}}$$$$\\hat{E}_x = \\frac{E_x}{\\sqrt{E_x^2 + E_y^2}}$$$$\\hat{E}_y = \\frac{E_y}{\\sqrt{E_x^2 + E_y^2}}$$<\/p>\n

SPB \u306e\u5834\u5408\u306f\u5225\u9014\u5b9a\u7fa9\u3057\u306a\u304f\u3066\u3082\uff0cnormalize = True<\/code> \u3068\u3059\u308c\u3070\u9069\u5b9c\u898f\u683c\u5316\u3055\u308c\u305f\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n

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\u30e9\u30a4\u30d6\u30e9\u30ea\u306e import<\/h3>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[1]:<\/div>\n
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from<\/span> sympy<\/span> import<\/span> *<\/span>\r\n# 1\u6587\u5b57\u5909\u6570\u306e Symbol \u306e\u5b9a\u7fa9\u304c\u7701\u7565\u3067\u304d\u308b<\/span>\r\nfrom<\/span> sympy.abc<\/span> import<\/span> *<\/span>\r\n# SymPy Plotting Backends (SPB)<\/span>\r\nfrom<\/span> spb<\/span> import<\/span> *<\/span>\r\n\r\n# \u30b0\u30e9\u30d5\u3092 SVG \u3067 Notebook \u306b\u30a4\u30f3\u30e9\u30a4\u30f3\u8868\u793a<\/span>\r\n%<\/span>config<\/span> InlineBackend.figure_formats = ['svg']\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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SPB \u3067\u96fb\u5834\u306e\u65b9\u5411\u5834\u3092\u63cf\u304f<\/h3>\n<\/div>\n<\/div>\n<\/div>\n
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\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u306e\u5b9a\u7fa9<\/h4>\n
\u96fb\u5834\u30d9\u30af\u30c8\u30eb\u3092 x, y<\/code> \u306e2\u5909\u6570\u95a2\u6570\u3068\u3057\u3066\u5b9a\u7fa9\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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def<\/span> Ex<\/span>(<\/span>x<\/span>,<\/span> y<\/span>):<\/span>\r\n    return<\/span> x<\/span>\/<\/span>sqrt<\/span>(<\/span>x<\/span>**<\/span>2<\/span> +<\/span> y<\/span>**<\/span>2<\/span>)<\/span>**<\/span>3<\/span>\r\ndef<\/span> Ey<\/span>(<\/span>x<\/span>,<\/span> y<\/span>):<\/span>\r\n    return<\/span> y<\/span>\/<\/span>sqrt<\/span>(<\/span>x<\/span>**<\/span>2<\/span> +<\/span> y<\/span>**<\/span>2<\/span>)<\/span>**<\/span>3<\/span>\r\n\r\ndef<\/span> E2x<\/span>(<\/span>x<\/span>,<\/span> y<\/span>):<\/span>\r\n    return<\/span> Ex<\/span>(<\/span>x<\/span>,<\/span> y<\/span>-<\/span>1<\/span>)<\/span> -<\/span> Ex<\/span>(<\/span>x<\/span>,<\/span> y<\/span>+<\/span>1<\/span>)<\/span>\r\ndef<\/span> E2y<\/span>(<\/span>x<\/span>,<\/span> y<\/span>):<\/span>\r\n    return<\/span> Ey<\/span>(<\/span>x<\/span>,<\/span> y<\/span>-<\/span>1<\/span>)<\/span> -<\/span> Ey<\/span>(<\/span>x<\/span>,<\/span> y<\/span>+<\/span>1<\/span>)<\/span>\r\n\r\ndef<\/span> E<\/span>(<\/span>x<\/span>,<\/span> y<\/span>):<\/span>\r\n    return<\/span> sqrt<\/span>(<\/span>E2x<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)<\/span>**<\/span>2<\/span> +<\/span> E2y<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)<\/span>**<\/span>2<\/span>)<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f<\/h4>\n
SPB \u306b\u304a\u3044\u30662\u6b21\u5143\u30d9\u30af\u30c8\u30eb\u5834\u3092\u63cf\u304f\u969b\u306e\u66f8\u5f0f\u306f…<\/p>\n
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plot_vector<\/span>([<\/span>x\u6210\u5206<\/span>,<\/span> y\u6210\u5206<\/span>],<\/span> (<\/span>x<\/span>,<\/span> xmin<\/span>,<\/span> xmax<\/span>),<\/span> (<\/span>y<\/span>,<\/span> ymin<\/span>,<\/span> ymax<\/span>),<\/span> ...<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n
\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u306e contour plot \u3084 colormap \u3082\u63cf\u304f\u306e\u3067\uff0c\u307e\u305a\u306f\u305d\u308c\u3089\u3092 False<\/code> \u306b\u3057\uff0cnormalize = True<\/code> \u3068\u3057\u3066\u65b9\u5411\u30d9\u30af\u30c8\u30eb\u5834\u306e\u307f\u3092\u63cf\u3044\u3066\u307f\u308b\u3002\u3053\u306e\u30aa\u30d7\u30b7\u30e7\u30f3\u306b\u3088\u3063\u3066\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u306f\u540c\u3058\u9577\u3055\u306b\u81ea\u52d5\u8abf\u6574\u3059\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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plot_vector<\/span>(<\/span>\r\n    [<\/span>E2x<\/span>(<\/span>x<\/span>,<\/span> y<\/span>),<\/span> E2y<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)],<\/span> \r\n    (<\/span>x<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> (<\/span>y<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> \r\n    # contour plot \u306a\u3057\uff0ccolormap \u306a\u3057\uff0c\u9577\u3055\u81ea\u52d5\u8abf\u6574\u3057\u3066<\/span>\r\n    scalar<\/span> =<\/span> False<\/span>,<\/span> use_cm<\/span> =<\/span> False<\/span>,<\/span> normalize<\/span> =<\/span> True<\/span>,<\/span>\r\n    size<\/span> =<\/span> (<\/span>6.4<\/span>,<\/span> 6.4<\/span>)<\/span>\r\n)<\/span>;<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u4e0a\u8a18\u306e\u4f8b\u3067\u306f\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u672c\u6570\uff08\u30b5\u30f3\u30d7\u30eb\u6570\uff09\u3092\u7279\u306b\u6307\u5b9a\u305b\u305a\u81ea\u52d5\u3067\u63cf\u304b\u305b\u3066\u3044\u308b\u3002\u70b9\u96fb\u8377\u304c $y$ \u8ef8\u4e0a\u306b\u3042\u308b\u306e\u3067\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u59cb\u70b9\u304c\u70b9\u96fb\u8377\u4e0a\u306b\u306a\u3089\u306a\u3044\u3088\u3046\u306b\uff0c\u30b5\u30f3\u30d7\u30eb\u6570\u3092\u8abf\u6574\u3057\u3066\u307f\u308b\u3002
\n\u4ee5\u4e0b\u306e\u4f8b\u3067\u306f\uff0c$x, y$ \u5ea7\u6a19\u3068\u3082\u306b<\/p>\n
$$-5.5, -4.5, \\cdots, -0.5, 0.5, \\cdots, 5.5$$<\/p>\n
\u3068\u306a\u308a\uff0c$y$ \u8ef8\u4e0a ($x = 0$) \u306b\u59cb\u70b9\u304c\u3053\u306a\u3044\u3002\u30d9\u30af\u30c8\u30eb\u5834\u306e\u59cb\u70b9\u304c\u3053\u306e\u30b5\u30f3\u30d7\u30eb\u4f4d\u7f6e\u306b\u3042\u308b\u3053\u3068\u304c\u3088\u304f\u308f\u304b\u308b\u3088\u3046\u306b\uff0c\u30b0\u30ea\u30c3\u30c9\u9593\u9694\u3092 1 \u306b\u3057\u3066\u307f\u308b\u3002<\/p>\n
{\"pivot\":\"mid\"}<\/code> \u30aa\u30d7\u30b7\u30e7\u30f3\u3092\u4f7f\u3046\u3068\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u771f\u3093\u4e2d\u3092\u4e2d\u5fc3\u306b\u3057\u3066\u30d9\u30af\u30c8\u30eb\u306e\u5411\u304d\u3092\u5909\u3048\u3066\u8868\u793a\u3057\u307e\u3059\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[4]:<\/div>\n
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p<\/span> =<\/span> plot_vector<\/span>(<\/span>\r\n    [<\/span>E2x<\/span>(<\/span>x<\/span>,<\/span> y<\/span>),<\/span> E2y<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)],<\/span> \r\n    # -5.5 \u304b\u3089 5.5 \u307e\u3067\u3092...<\/span>\r\n    (<\/span>x<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> (<\/span>y<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> \r\n    # \u7b49\u5206\u3057\u3066 12 \u70b9\u3067\u8a55\u4fa1\u3059\u308b<\/span>\r\n    n1<\/span> =<\/span> 12<\/span>,<\/span> n2<\/span> =<\/span> 12<\/span>,<\/span> \r\n    # \u59cb\u70b9\u3067\u306f\u306a\u304f\u771f\u3093\u4e2d\u3092\u56fa\u5b9a\u3057\u3066\u5411\u304d\u3092\u5909\u3048\u308b<\/span>\r\n    quiver_kw<\/span>=<\/span>{<\/span>\"pivot\"<\/span>:<\/span>\"mid\"<\/span>},<\/span>\r\n    scalar<\/span> =<\/span> False<\/span>,<\/span> use_cm<\/span> =<\/span> False<\/span>,<\/span> normalize<\/span> =<\/span> True<\/span>,<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>6.5<\/span>,<\/span> 6.5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>6.5<\/span>,<\/span> 6.5<\/span>),<\/span>\r\n    size<\/span> =<\/span> (<\/span>6.4<\/span>,<\/span> 6.4<\/span>),<\/span> show<\/span> =<\/span> False<\/span>\r\n)<\/span>\r\n\r\nax<\/span> =<\/span> p<\/span>.<\/span>ax<\/span>\r\n# -6 \u304b\u3089 (7\u672a\u6e80\u306e) 6 \u307e\u3067 x \u306e\u76ee\u76db\u3092 1 \u523b\u307f\u306b<\/span>\r\nax<\/span>.<\/span>set_xticks<\/span>([<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>6<\/span>,<\/span>7<\/span>)])<\/span>\r\n# -6 \u304b\u3089 (7\u672a\u6e80\u306e) 6 \u307e\u3067 y \u306e\u76ee\u76db\u3092 1 \u523b\u307f\u306b<\/span>\r\nax<\/span>.<\/span>set_yticks<\/span>([<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>6<\/span>,<\/span>7<\/span>)]);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u70b9\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb<\/h4>\n
\u6b63\u96fb\u8377\uff0c\u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u30e9\u30d9\u30eb\u3092\u3064\u3051\u3066\u307f\u308b\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[5]:<\/div>\n
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p<\/span> =<\/span> plot_vector<\/span>(<\/span>\r\n    [<\/span>E2x<\/span>(<\/span>x<\/span>,<\/span> y<\/span>),<\/span> E2y<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)],<\/span> \r\n    (<\/span>x<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> (<\/span>y<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> \r\n    n1<\/span> =<\/span> 12<\/span>,<\/span> n2<\/span> =<\/span> 12<\/span>,<\/span> \r\n    quiver_kw<\/span>=<\/span>{<\/span>\"pivot\"<\/span>:<\/span>\"mid\"<\/span>},<\/span>\r\n    scalar<\/span> =<\/span> False<\/span>,<\/span> use_cm<\/span> =<\/span> False<\/span>,<\/span> normalize<\/span> =<\/span> True<\/span>,<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>6.5<\/span>,<\/span> 6.5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>6.5<\/span>,<\/span> 6.5<\/span>),<\/span>\r\n    size<\/span> =<\/span> (<\/span>6.4<\/span>,<\/span> 6.4<\/span>),<\/span> show<\/span> =<\/span> False<\/span>\r\n)<\/span>\r\n\r\nax<\/span> =<\/span> p<\/span>.<\/span>ax<\/span>\r\nax<\/span>.<\/span>set_xticks<\/span>([<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>6<\/span>,<\/span>7<\/span>)])<\/span>\r\nax<\/span>.<\/span>set_yticks<\/span>([<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>6<\/span>,<\/span>7<\/span>)])<\/span>\r\n\r\n# \u6b63\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u9752\u4e38\u3068 +<\/span>\r\nax<\/span>.<\/span>scatter<\/span>(<\/span>0<\/span>,<\/span> 1<\/span>,<\/span> marker<\/span>=<\/span>'o'<\/span>,<\/span> \r\n           # size, color<\/span>\r\n           s<\/span> =<\/span> 200<\/span>,<\/span> c<\/span> =<\/span> 'white'<\/span>,<\/span>\r\n           edgecolors<\/span> =<\/span> 'blue'<\/span>,<\/span> linewidths<\/span> =<\/span> 2<\/span>)<\/span>\r\nax<\/span>.<\/span>text<\/span>(<\/span>0<\/span>,<\/span> 1<\/span>,<\/span> \"\uff0b\"<\/span>,<\/span> color<\/span> =<\/span> \"blue\"<\/span>,<\/span> \r\n        ha<\/span> =<\/span> \"center\"<\/span>,<\/span> va<\/span> =<\/span> \"center\"<\/span>,<\/span> size<\/span>=<\/span>12<\/span>)<\/span>\r\n\r\n# \u8ca0\u96fb\u8377\u306e\u4f4d\u7f6e\u306b\u8d64\u4e38\u3068 -<\/span>\r\nax<\/span>.<\/span>scatter<\/span>(<\/span>0<\/span>,<\/span> -<\/span>1<\/span>,<\/span> marker<\/span>=<\/span>'o'<\/span>,<\/span> \r\n           # size, color<\/span>\r\n           s<\/span> =<\/span> 200<\/span>,<\/span> c<\/span> =<\/span> 'white'<\/span>,<\/span>\r\n           edgecolors<\/span> =<\/span> 'red'<\/span>,<\/span> linewidths<\/span> =<\/span> 2<\/span>)<\/span>\r\nax<\/span>.<\/span>text<\/span>(<\/span>0<\/span>,<\/span> -<\/span>1<\/span>,<\/span> \"\u30fc\"<\/span>,<\/span> color<\/span> =<\/span> \"red\"<\/span>,<\/span>\r\n        ha<\/span> =<\/span> \"center\"<\/span>,<\/span> va<\/span> =<\/span> \"center\"<\/span>,<\/span> size<\/span>=<\/span>12<\/span>);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u30ab\u30e9\u30fc\u30de\u30c3\u30d7 (use_cm = True<\/code>)<\/h4>\n
\u30c7\u30d5\u30a9\u30eb\u30c8\u3067\u306f use_cm = True<\/code> \u306a\u306e\u3067\uff0c\u5f37\u5f31\uff08\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055 $E(x,y)$\uff09\u306b\u5fdc\u3058\u3066\u30d9\u30af\u30c8\u30eb\u306b\u8272\u304c\u3064\u304f\u3002<\/p>\n<\/div>\n<\/div>\n<\/div>\n
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In\u00a0[6]:<\/div>\n
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p<\/span> =<\/span> plot_vector<\/span>(<\/span>\r\n    [<\/span>E2x<\/span>(<\/span>x<\/span>,<\/span> y<\/span>),<\/span> E2y<\/span>(<\/span>x<\/span>,<\/span> y<\/span>)],<\/span> \r\n    (<\/span>x<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> (<\/span>y<\/span>,<\/span> -<\/span>5.5<\/span>,<\/span> 5.5<\/span>),<\/span> \r\n    n1<\/span> =<\/span> 12<\/span>,<\/span> n2<\/span> =<\/span> 12<\/span>,<\/span> \r\n    quiver_kw<\/span>=<\/span>{<\/span>\"pivot\"<\/span>:<\/span>\"mid\"<\/span>},<\/span>\r\n    scalar<\/span> =<\/span> False<\/span>,<\/span> normalize<\/span>=<\/span>True<\/span>,<\/span>\r\n    xlim<\/span> =<\/span> (<\/span>-<\/span>6.5<\/span>,<\/span> 6.5<\/span>),<\/span> ylim<\/span> =<\/span> (<\/span>-<\/span>6.5<\/span>,<\/span> 6.5<\/span>),<\/span>\r\n    size<\/span> =<\/span> (<\/span>6.4<\/span>,<\/span> 6.4<\/span>),<\/span> show<\/span> =<\/span> False<\/span>\r\n)<\/span>\r\n\r\nax<\/span> =<\/span> p<\/span>.<\/span>ax<\/span>\r\nax<\/span>.<\/span>set_xticks<\/span>([<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>6<\/span>,<\/span>7<\/span>)])<\/span>\r\nax<\/span>.<\/span>set_yticks<\/span>([<\/span>i<\/span> for<\/span> i<\/span> in<\/span> range<\/span>(<\/span>-<\/span>6<\/span>,<\/span>7<\/span>)]);<\/span>\r\n<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\"\"<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n
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\u30ab\u30e9\u30fc\u30de\u30c3\u30d7 \u306e\u8272\u5473\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u5927\u304d\u3055\u30fb\u592a\u3055\u306e\u8a2d\u5b9a<\/h4>\n
\u96fb\u8377\u306e\u4f4d\u7f6e\u304b\u3089\u96e2\u308c\u308b\u3068\uff0c\u96fb\u5834\u306e\u5927\u304d\u3055\u306f\u6025\u6fc0\u306b\u5c0f\u3055\u304f\u306a\u308b\u306e\u3067\uff0c\u3053\u306e\u307e\u307e\u3067\u306f\u307b\u3068\u3093\u3069\u540c\u3058\u8272\u306e\u30d9\u30af\u30c8\u30eb\u3070\u304b\u308a\u306b\u306a\u308b\u3002<\/p>\n
\u3053\u308c\u3060\u3068\u5c11\u3057\u5bc2\u3057\u3044\u306e\u3067\u30ab\u30e9\u30fc\u30de\u30c3\u30d7\u306e\u7bc4\u56f2\u3092\u8a2d\u5b9a\u3059\u308b clim<\/code> \u3092\u8abf\u6574\u3057\u3066\uff0c\u96e2\u308c\u305f\u4f4d\u7f6e\u306e\u30d9\u30af\u30c8\u30eb\u3082\u305d\u3053\u305d\u3053\u306e\u9752\u8272\u306b\u306a\u308b\u3088\u3046\u306b\u8abf\u6574\u3059\u308b\u3002<\/p>\n
\u4e0a\u8a18\u306e\u4f8b\u3067\u306f clim = (0, 2)<\/code> \u304f\u3089\u3044\u3067\u3042\u308d\u3046\u304b\u3089\uff0c\u30bc\u30ed\u306b\u8fd1\u3044\u5927\u304d\u3055\u3067\u3082\u8272\u304c\u3064\u304f\u3088\u3046\u306b\u624b\u63a2\u308a\u3067\u6570\u5024\u3092\u3044\u308c\u3066\u307f\u307e\u3059\u3002<\/p>\n
\u307e\u305f\uff0c\u30d9\u30af\u30c8\u30eb\u305d\u306e\u3082\u306e\u306e\u5927\u304d\u3055\u30fb\u592a\u3055\u3082\u5c11\u3057\u5909\u66f4\u3057\u3066\u307f\u308b\u3002\u66f8\u5f0f\u306f\u307e\u305a units='xy'<\/code> \u306a\u3069\u3068\u8a2d\u5b9a\u5f8c\uff0c\u30d9\u30af\u30c8\u30eb\u306e\u9577\u3055\u3092\u4f38\u3070\u3057\u305f\u3044\u306a\u3089 scale<\/code> \u306b\u3088\u308a\u5c0f\u3055\u3044\u5024\u3092\uff0c\u592a\u304f\u3057\u305f\u3044\u306a\u3089 width<\/code> \u306b\u3088\u308a\u5927\u304d\u3044\u5024\u3092\u3044\u308c\u307e\u3059\u3002\u3053\u308c\u3082\u624b\u63a2\u308a\u3067\u3044\u308c\u3066\u307f\u307e\u3057\u305f\u3002<\/p>\n
\u53f3\u5074\u306e colorbar \u3092\u975e\u8868\u793a\u306b\u3059\u308b\u306b\u306f colorbar = False<\/code> \u3067\u3059\u3002<\/p>\n
quiver_kw<\/code> \u306b\u8a2d\u5b9a\u53ef\u80fd\u306a\u30aa\u30d7\u30b7\u30e7\u30f3\u306f matplotlib.pyplot.quiver()<\/code> \u3068\u540c\u3058\u3002\u4ee5\u4e0b\u3092\u53c2\u7167\u3002<\/p>\n