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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 求N元函数一阶偏导函数。这玩意不太稳定， < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > func: 函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > var: 变量位置，可为整数(一阶偏导)或整数元组(高阶偏导)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > epsilon: 偏移量< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 偏导函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Raises:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ValueError: 无效变量类型< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (var, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > int< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ):< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args: Var) -> Var:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > list< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus[var] < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +=< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > list< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus[var] < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -=< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus)) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 2< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > partial_derivative_func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > elif< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > isinstance< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (var, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > tuple< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ):< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > high_order_partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args: Var) -> Var:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > for< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > in< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > var:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > get_partial_derivative_func(result_func, v, epsilon)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > high_order_partial_derivative_func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > else< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > raise< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > ValueError< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' Invalid var type' < / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > )< / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "def-partial-derivative-func-var" tabindex = "-1" > < em > def< / em > < code > partial_derivative_func() -> Var< / code > < a class = "header-anchor" href = "#def-partial-derivative-func-var" aria-label = "Permalink to "*def* `partial_derivative_func() -> Var`"" > < / a > < / h3 > < details > < summary > Source code< / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args: Var) -> Var:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > list< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus[var] < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > +=< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > list< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (args)< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus[var] < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -=< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_plus) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > -< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args_list_minus)) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > /< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 2< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > epsilon)< / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "def-high-order-partial-derivative-func-var" tabindex = "-1" > < em > def< / em > < code > high_order_partial_derivative_func() -> Var< / code > < a class = "header-anchor" href = "#def-high-order-partial-derivative-func-var" aria-label = "Permalink to "*def* `high_order_partial_derivative_func() -> Var`"" > < / a > < / h3 > < details > < summary > Source code< / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#6F42C1;--shiki-dark:#B392F0;" > high_order_partial_derivative_func< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args: Var) -> Var:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > for< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > v < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > in< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > var:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > get_partial_derivative_func(result_func, v, epsilon)< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > result_func(< / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > args)< / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "class-curveequation" tabindex = "-1" > < em > < strong > class< / strong > < / em > < code > CurveEquation< / code > < a class = "header-anchor" href = "#class-curveequation" aria-label = "Permalink to "***class*** `CurveEquation`"" > < / a > < / h3 > < h3 id = "def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" tabindex = "-1" > < em > def< / em > < code > __init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)< / code > < a class = "header-anchor" href = "#def-init-self-x-func-onevarfunc-y-func-onevarfunc-z-func-onevarfunc" aria-label = "Permalink to "*def* `__init__(self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc)`"" > < / a > < / h3 > < p > 曲线方程。< / p > < p > Args:< / p > < ul > < li > < p > x_func: x函数< / p > < / li > < li > < p > y_func: y函数< / p > < / li > < li > < p > z_func: z函数< / p > < / li > < / ul > < details > < summary > Source code< / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __init__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, x_func: OneVarFunc, y_func: OneVarFunc, z_func: OneVarFunc):< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 曲线方程。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > x_func: x函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > y_func: y函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > z_func: z函数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .x_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x_func< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .y_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > y_func< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .z_func < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > =< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > z_func< / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "def-call-self-point3-tuple-point3" tabindex = "-1" > < em > def< / em > < code > __call__(self) -> Point3 | tuple[Point3, ...]< / code > < a class = "header-anchor" href = "#def-call-self-point3-tuple-point3" aria-label = "Permalink to "*def* `__call__(self) -> Point3 | tuple[Point3, ...]`"" > < / a > < / h3 > < p > 计算曲线上的点。< / p > < p > Args:< / p > < ul > < li > < p > *t:< / p > < / li > < li > < p > 参数:< / p > < / li > < / ul > < details > < summary > Source code< / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __call__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self, < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > *< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > t: Var) -> Point3 < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > |< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > tuple[Point3, < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > ...< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]:< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 计算曲线上的点。< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Args:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > *t:< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > 参数< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > Returns:< / span > < / span >
< span class = "line" > < / span >
< span class = "line" > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > " " " < / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > if< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > len< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (t) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > ==< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 1< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > Point3(< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .x_func(t[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .y_func(t[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .z_func(t[< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > 0< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ]))< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > else< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > :< / span > < / span >
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< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > tuple< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > ([Point3(x, y, z) < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > for< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > x, y, z < / span > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > in< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > zip< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .x_func(t), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .y_func(t), < / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > self< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > .z_func(t))])< / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "def-str-self" tabindex = "-1" > < em > def< / em > < code > __str__(self)< / code > < a class = "header-anchor" href = "#def-str-self" aria-label = "Permalink to "*def* `__str__(self)`"" > < / a > < / h3 > < details > < summary > Source code< / summary > < div class = "language-python vp-adaptive-theme" > < button title = "Copy Code" class = "copy" > < / button > < span class = "lang" > python< / span > < pre class = "shiki shiki-themes github-light github-dark vp-code" tabindex = "0" > < code > < span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > def< / span > < span style = "--shiki-light:#005CC5;--shiki-dark:#79B8FF;" > __str__< / span > < span style = "--shiki-light:#24292E;--shiki-dark:#E1E4E8;" > (self):< / span > < / span >
< span class = "line" > < span style = "--shiki-light:#D73A49;--shiki-dark:#F97583;" > return< / span > < span style = "--shiki-light:#032F62;--shiki-dark:#9ECBFF;" > ' CurveEquation()' < / span > < / span > < / code > < / pre > < / div > < / details > < h3 id = "var-result-func-get-partial-derivative-func-result-func-v-epsilon" tabindex = "-1" > < em > < strong > var< / strong > < / em > < code > result_func = get_partial_derivative_func(result_func, v, epsilon)< / code > < a class = "header-anchor" href = "#var-result-func-get-partial-derivative-func-result-func-v-epsilon" aria-label = "Permalink to "***var*** `result_func = get_partial_derivative_func(result_func, v, epsilon)`"" > < / a > < / h3 > < / div > < / div > < / main > < footer class = "VPDocFooter" data-v-aa782c77 data-v-f33b051d > <!-- [ --> <!-- ] --> <!-- --> < nav class = "prev-next" aria-labelledby = "doc-footer-aria-label" data-v-f33b051d > < span class = "visually-hidden" id = "doc-footer-aria-label" data-v-f33b051d > Pager< / span > < div class = "pager" data-v-f33b051d > < a class = "VPLink link pager-link prev" href = "/en/api/mp_math/const.html" data-v-f33b051d > <!-- [ --> < span class = "desc" data-v-f33b051d > Previous page< / span > < span class = "title" data-v-f33b051d > mbcp.mp_math.const< / span > <!-- ] --> < / a > < / div > < div class = "pager" data-v-f33b051d > < a class = "VPLink link pager-link next" href = "/en/api/mp_math/line.html" data-v-f33b051d > <!-- [ --> < span class = "desc" data-v-f33b051d > Next page< / span > < span class = "title" data-v-f33b051d > mbcp.mp_math.line< / span > <!-- ] --> < / a > < / div > < / nav > < / footer > <!-- [ --> <!-- ] --> < / div > < / div > < / div > <!-- [ --> <!-- ] --> < / div > < / div > <!-- --> <!-- [ --> <!-- ] --> < / div > < / div >
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< script > w i n d o w . _ _ V P _ H A S H _ M A P _ _ = J S O N . p a r s e ( " { \ " a p i - e x . m d \ " : \ " D O s K a L 8 H \ " , \ " a p i _ i n d e x . m d \ " : \ " B v a z T q T B \ " , \ " a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " D K M X A F b W \ " , \ " a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " B c 1 L x t c U \ " , \ " a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " C Z g n s 2 9 7 \ " , \ " a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " 4 P 0 h k 6 g b \ " , \ " a p i _ m p _ m a t h _ l i n e . m d \ " : \ " D H o f g y J O \ " , \ " a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " B H J O A x T l \ " , \ " a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " D Z B u - H I q \ " , \ " a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " C G q z S 8 e w \ " , \ " a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " B 0 w R l 0 b P \ " , \ " a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " C 9 b d p h O 4 \ " , \ " a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " B E h 6 3 _ Z E \ " , \ " a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " B R C S x C 3 e \ " , \ " a p i _ p r e s e t s _ i n d e x . m d \ " : \ " D l 6 S s 9 1 J \ " , \ " a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D L r c h _ J u \ " , \ " e n _ a p i _ i n d e x . m d \ " : \ " B g u - L D 1 B \ " , \ " e n _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " D Y Z o 7 h B D \ " , \ " e n _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " D f c W u G e V \ " , \ " e n _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " B Q v 4 W W i J \ " , \ " e n _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " D r j D U Y B Y \ " , \ " e n _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " C A J n D K C u \ " , \ " e n _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " D h 1 b y 9 k w \ " , \ " e n _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B - V J J l l R \ " , \ " e n _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " C C E - y f r m \ " , \ " e n _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " C U Q F M m 0 Q \ " , \ " e n _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " C u i y H R t Y \ " , \ " e n _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " 3 x e p 9 o D m \ " , \ " e n _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " C m C 1 Q X 5 o \ " , \ " e n _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " C Z 5 h l _ 7 D \ " , \ " e n _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " 1 e w G i 0 d o \ " , \ " g u i d e _ i n d e x . m d \ " : \ " B E 2 y l o i k \ " , \ " i n d e x . m d \ " : \ " B E 1 q C h T t \ " , \ " j a _ a p i _ i n d e x . m d \ " : \ " 4 B n f l F I m \ " , \ " j a _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " _ x B K Q u i r \ " , \ " j a _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " C Q Y - Q d b h \ " , \ " j a _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " B E T l i f w h \ " , \ " j a _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " C S A M H Y s B \ " , \ " j a _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " C k 5 u y 5 C p \ " , \ " j a _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " C e A S N a i E \ " , \ " j a _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " C 5 q F t Y 9 2 \ " , \ " j a _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " C c _ R L e t h \ " , \ " j a _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " o i O N X y s Z \ " , \ " j a _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " D g z o i 9 e c \ " , \ " j a _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " k N 2 P 6 b p C \ " , \ " j a _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " E 2 Y n H 7 E N \ " , \ " j a _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " A T G c H t 9 d \ " , \ " j a _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " Q P 3 v 3 m p P \ " , \ " m d - e x . m d \ " : \ " B X 0 W q O q v \ " , \ " z h - h a n t _ a p i _ i n d e x . m d \ " : \ " D - i B k J b - \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ a n g l e . m d \ " : \ " e K Q S p i M X \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ c o n s t . m d \ " : \ " B _ t Z 9 w L 7 \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ e q u a t i o n . m d \ " : \ " D P i n r p 8 _ \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ i n d e x . m d \ " : \ " B 8 N L V 8 C f \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ l i n e . m d \ " : \ " B - s 8 a L x Y \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ m p _ m a t h _ t y p i n g . m d \ " : \ " D O w D U O u 8 \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ p l a n e . m d \ " : \ " B 6 0 B z q 3 i \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ p o i n t . m d \ " : \ " B E s H V _ 8 G \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ s e g m e n t . m d \ " : \ " C - 4 e J k - Y \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ u t i l s . m d \ " : \ " z 2 l M M p n T \ " , \ " z h - h a n t _ a p i _ m p _ m a t h _ v e c t o r . m d \ " : \ " n 5 E f a e 6 D \ " , \ " z h - h a n t _ a p i _ p a r t i c l e _ i n d e x . m d \ " : \ " B l d u I P t w \ " , \ " z h - h a n t _ a p i _ p r e s e t s _ i n d e x . m d \ " : \ " C D y g 8 7 e 9 \ " , \ " z h - h a n t _ a p i _ p r e s e t s _ m o d e l _ i n d e x . m d \ " : \ " D C H p j j Z _ \ " } " ) ; w i n d o w . _ _ V P _ S I T E _ D A T A _ _ = J S O N . p a r s e ( " { \ " l a n g \ " : \ " e n - U S \ " , \ " d i r \ " : \ " l t r \ " , \ " t i t l e \ " : \ " M B C P d o c s \ " , \ " d e s c r i p t i o n \ " : \ " M B C P l i b r a r y d o c s \ " , \ " b a s e \ " : \ " / \ " , \ " h e a d \ " : [ ] , \ " r o u t e r \ " : { \ " p r e f e t c h L i n k s \ " : t r u e } , \ " a p p e a r a n c e \ " : t r u e , \ " t h e m e C o n f i g \ " : { \ " s o c i a l L i n k s \ " : [ { \ " i c o n \ " : \ " g i t h u b \ " , \ " l i n k \ " : \ " h t t p s : / / g i t h u b . c o m / s n o w y k a m i / m b c p \ " } ] , \ " s i d e b a r \ " : { \ " / a p i / \ " : [ { \ " t e x t \ " : \ " a p i \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m b c p \ " , \ " l i n k \ " : \ " / a p i / i n d e x . m d \ " } , { \ " t e x t \ " : \ " m p _ m a t h \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m b c p . m p _ m a t h \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / i n d e x . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . a n g l e \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / a n g l e . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . c o n s t \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / c o n s t . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . e q u a t i o n \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / e q u a t i o n . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . l i n e \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / l i n e . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . m p _ m a t h _ t y p i n g \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / m p _ m a t h _ t y p i n g . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . p l a n e \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / p l a n e . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . p o i n t \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / p o i n t . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . s e g m e n t \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / s e g m e n t . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . u t i l s \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / u t i l s . m d \ " } , { \ " t e x t \ " : \ " m b c p . m p _ m a t h . v e c t o r \ " , \ " l i n k \ " : \ " / a p i / m p _ m a t h / v e c t o r . m d \ " } ] } , { \ " t e x t \ " : \ " p a r t i c l e \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m b c p . p a r t i c l e \ " , \ " l i n k \ " : \ " / a p i / p a r t i c l e / i n d e x . m d \ " } ] } , { \ " t e x t \ " : \ " p r e s e t s \ " , \ " i t e m s \ " : [ { \ " t e x t \ " : \ " m b c p . p r e
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