sympy

欢迎点击「算法与编程之美」↑关注我们！ 本文首发于微信公众号："算法与编程之美"，欢迎关注，及时了解更多此系列博客。 基本概念 定积分的定义如下： 不定积分定义如下： 如果想了解更多，大家可以继续阅读同济大学《高等数学》，关注公众号，回复关键词'gdsx'，可以获得高清电子版。 sympy介绍 sympy库的安装非常的简单，利用conda命令可以快速的完成安装。 conda install sympy 接下来，我们将介绍利用第三方库sympy来完成积分的计算。 python求解不定积分 接下来，我们将介绍上述的不定积分的求解。 首先导入sympy库中的所有类和函数。 from sympy import * 接下来我们需要定义，本次需要使用到的符号变量x，其定义如下： x = symbols('x') 最后我们来计算积分，定积分和不定积分我们都需要用到函数integrate，这个函数的用法非常的简单，完全可以自己领悟。 integrate(cos(x) ,x) > sin(x) 这里面需要注意两点： 1）cos后面要跟一对括号，不能直接写cosx。 2）求解的结果中省略了常数C，需要自己加上。 python求解定积分 定积分的求解和不定积分类似，唯一的区别在于，定积分说明了积分的上下限。 integrate(cos(x), (x,-pi, pi)) 其中(x,-pi,pi

I have an expression: sin(x)+sin(y) There is a well-known trig identity to express this as the product of sin and cos. Is there a way to get sympy to apply this identity? simplify and trigsimp do nothing. trigsimp , as Aristocrates points out, does the reverse, because sin(x) + sin(y) is simpler than 2*sin((x + y)/2)*cos((x - y)/2) . trigsimp internally uses an algorithm based on a paper by Fu, et. al. , which does pattern matching on various trigonometric identities. If you look at the source code , all the identities are written out in individual functions (the functions are named after the

Is there a way to check if two expressions are mathematically equal? I expected tg(x)cos(x) == sin(x) to output True , but it outputs False . Is there a way to make such comparisons with sympy? Another example is (a+b)**2 == a**2 + 2*a*b + b**2 which surprisingly also outputs False . I found some similar questions, but none covered this exact problem. From the SymPy documentation == represents exact structural equality testing. “Exact” here means that two expressions will compare equal with == only if they are exactly equal structurally. Here, (x+1)^2 and x^2+2x+1 are not the same symbolically

What is the best way to create a Sympy equation, do something like take the derivative, and then plot the results of that equation? I have my symbolic equation, but can't figure out how to make an array of values for plotting. Here's my code: from sympy import symbols import matplotlib.pyplot as mpl t = symbols('t') x = 0.05*t + 0.2/((t - 5)**2 + 2) nums = [] for i in range(1000): nums.append(t) t += 0.02 plotted = [x for t in nums] mpl.plot(plotted) mpl.ylabel("Speed") mpl.show() In my case I just calculated the derivative of that equation, and now I want to plot the speed x , so this is

I need a calculate below expression using sympy in python? exp = '(a+b)*40-(c-a)/0.5' In a=6 , b=5 , c=2 this case how to calculate expression using sympy in python? Please help me. The documentation is here: http://docs.sympy.org/ . You should really read it! To "calculate" your expression, write something like this: from sympy import Symbol a = Symbol("a") b = Symbol("b") c = Symbol("c") exp = (a+b)*40-(c-a)/0.5 And that's it. If you meant something else by "calculate", you could also solve exp = 0: sympy.solve(exp) > {a: [0.0476190476190476*c - 0.952380952380952*b], > b: [0.05*c - 1.05*a],