{"id":19013,"date":"2023-02-28T21:40:21","date_gmt":"2023-02-28T13:40:21","guid":{"rendered":"https:\/\/docs.pingcode.com\/?p=19013"},"modified":"2023-07-30T23:01:43","modified_gmt":"2023-07-30T15:01:43","slug":"%e4%b8%ba%e4%bb%80%e4%b9%88%e7%bc%96%e7%a8%8b%e8%af%ad%e8%a8%80%e4%b8%ad%e6%b2%a1%e6%9c%89%e6%9c%aa%e7%9f%a5%e6%95%b0","status":"publish","type":"post","link":"https:\/\/docs.pingcode.com\/ask\/19013.html","title":{"rendered":"\u4e3a\u4ec0\u4e48\u7f16\u7a0b\u8bed\u8a00\u4e2d\u6ca1\u6709\u672a\u77e5\u6570"},"content":{"rendered":"
\n

\u6570\u503c\u8ba1\u7b97\u4e2d\u6ca1\u6709\u672a\u77e5\u6570\u7684\u6982\u5ff5\uff0c\u6240\u4ee5\u5176\u7f16\u7a0b\u8bed\u8a00\u4e2d\u6ca1\u6709\u672a\u77e5\u6570\u3002\u4f46\u7b26\u53f7\u8ba1\u7b97\u4e2d\u6709\uff0cmathematica\u3001matlab\u3001sym\u3001maxima\u3001maple\u3001python\u3001sympy\u6240\u6709\u7684\u7b26\u53f7\u8ba1\u7b97\u8f6f\u4ef6\u4e2d\u90fd\u6709\u672a\u77e5\u6570\u3002\u8ba1\u7b97\u673a\u4ee3\u6570\u7cfb\u7edf\u4ee5\u7b26\u53f7\u4e3a\u8ba1\u7b97\u7684\u57fa\u672c\u5355\u4f4d\uff0c\u6a21\u62df\u7684\u5c31\u662f\u4eba\u4eec\u7528\u7eb8\u7b14\u8fdb\u884c\u6f14\u7b97\u7684\u8fc7\u7a0b\u3002<\/p>\n<\/blockquote>\n

\n
\"\"<\/figure>\n<\/div>\n

\u4e00\u3001\u4e3a\u4ec0\u4e48\u7f16\u7a0b\u8bed\u8a00\u4e2d\u6ca1\u6709\u672a\u77e5\u6570<\/strong><\/h2>\n

\u6570\u503c\u8ba1\u7b97\u4e2d\u6ca1\u6709\u672a\u77e5\u6570\u7684\u6982\u5ff5\uff0c\u6240\u4ee5\u5176\u7f16\u7a0b\u8bed\u8a00\u4e2d\u6ca1\u6709\u672a\u77e5\u6570\u3002\u4f46\u7b26\u53f7\u8ba1\u7b97\u4e2d\u6709\uff0c\uff0cmathematica\u3001matlab\u3001sym\u3001maxima\u3001maple\u3001python\u3001sympy\u6240\u6709\u7684\u7b26\u53f7\u8ba1\u7b97\u8f6f\u4ef6\u4e2d\u90fd\u6709\u672a\u77e5\u6570\u3002\u8ba1\u7b97\u673a\u4ee3\u6570\u7cfb\u7edf\u4ee5\u7b26\u53f7\u4e3a\u8ba1\u7b97\u7684\u57fa\u672c\u5355\u4f4d\uff0c\u6a21\u62df\u7684\u5c31\u662f\u4eba\u4eec\u7528\u7eb8\u7b14\u8fdb\u884c\u6f14\u7b97\u7684\u8fc7\u7a0b\u3002<\/p>\n

\u6bd4\u5982matlab \u89e3\u65b9\u7a0b\uff1a<\/p>\n

clear all<\/p>\n

syms x y A B C D<\/p>\n

solve(\u2018A * x * x + B * x + C = D + y\u2019, \u2018x\u2019)<\/p>\n

ans =<\/p>\n

[ 1\/2\/A*(-B+(B^2+4*A*y-4*A*C+4*A*D)^(1\/2))]<\/p>\n

[ 1\/2\/A*(-B-(B^2+4*A*y-4*A*C+4*A*D)^(1\/2))]<\/p>\n

solve(\u2018A * x * x + B * x + C = D + y\u2019, \u2018y\u2019)<\/p>\n

ans =<\/p>\n

A*x^2+B*x+C-D<\/p>\n

N\u5143N\u6b21\u65b9\u7a0b\u968f\u4fbf\u89e3\uff0c\u6bd4\u5982\u590d\u6742\u70b9\u7684\uff1a<\/p>\n

clear all<\/p>\n

syms R X a b c d x1 x2 x3 x4;<\/p>\n

[x1,x2,x3,x4]=solve(\u2018R*x1+R*x3-X*x4=a\u2019,\u2019R*x2+X*x3+R*x4=b\u2019,\u2019R*x1-X*x2+R*x3=c\u2019,\u2019X*x1+R*x2+R*x4=d\u2019,\u2019x1,x2,x3,x4\u2032)<\/p>\n

x1 = (2*R^2*d-2*R^2*b+R*X*c+R*a*X+X^2*d)\/X\/(4*R^2+X^2)<\/p>\n

x2 = (-2*R^2*c+X*R*d+R*X*b-X^2*c+2*R^2*a)\/X\/(4*R^2+X^2)<\/p>\n

x3 = 1\/X*(-2*R^2*d+2*R^2*b+R*X*c+X^2*b+R*a*X)\/(4*R^2+X^2)<\/p>\n

x4 = -(-2*R^2*c-X*R*d-R*X*b+2*R^2*a+X^2*a)\/X\/(4*R^2+X^2)<\/p>\n

\u8fd8\u6709 Python \u7684 sympy \u5e93\uff0c\u6c42\u89e3 x^2 = 1 \u65b9\u7a0b\uff0c\u5148\u5316\u89e3\u6210 xxx = 0 \u7684\u5f62\u5f0f\uff0c\u5373 x ^ 2 \u2013 1 = 0<\/p>\n

>>> from sympy.solvers import solve<\/p>\n

>>> from sympy import Symbol<\/p>\n

>>> x = Symbol(\u2018x\u2019)<\/p>\n

>>> solve(x**2-1,x)<\/p>\n

[-1, 1]<\/p>\n

\u8fd8\u53ef\u4ee5\u505a\u4e00\u4e9b\u7b49\u5f0f\u5316\u89e3\uff1a<\/p>\n

>>> from sympy import *<\/p>\n

>>> x = Symbol(\u2018x\u2019)<\/p>\n

>>> y = Symbol(\u2018y\u2019)<\/p>\n

>>> x + y + x \u2013 y<\/p>\n

2*x<\/p>\n

\u5ef6\u4f38\u9605\u8bfb\uff1a<\/strong><\/p>\n

\u4e8c\u3001\u4ec0\u4e48\u662f\u7f16\u7a0b\u8bed\u8a00<\/strong><\/h2>\n

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