sympy

Error solving Matrix equation with numpy

大城市里の小女人 提交于 2019-12-04 19:36:46
问题 I'm writing my own Newton-Raphson algorithm in Python using sympy and numpy . The code is below but you can ignore this and skip on to the error: CODE def newtonRhapson(fncList, varz, x0): jacob = [] for fnc in fncList: vec = [] for var in varz: res = fnc.diff(var) for i in range(len(varz)): res = res.subs(varz[i], x0[i]) vec.append(res) jacob.append(numpy.array(vec, dtype='float64')) fx0=[] for fnc in fncList: res2 = fnc for i in range(len(varz)): res2 = res2.subs(varz[i], x0[i]) fx0.append

Why doesn't my Rician in Sympy match the Rician in Scipy?

不羁的心 提交于 2019-12-04 19:08:35
I've tried to create a Sympy continuous random variable with a Rician distribution. With thanks to help from an earlier question , it seems that the best approach is to subclass SingleContinuousDistribution . I've implemented a distribution that appears to be in agreement between Wikipedia and Scipy , however I am not getting the same results as Scipy. What follows is code that implements the random variable, extracts its symbolic distribution and converts it to a Numpy representation through lambdify then plots my distribution against the PDF of the Scipy rician distribution. from sympy

Using sympy's latex() function without calculating the input

喜欢而已 提交于 2019-12-04 18:50:34
I want to get latex output from a sympy expression without calculating the expression. For instance if I do latex((2+3)/7) the output would be 5/7 (with latex), but what I am after is for it to just output (2+3)/7 with latex. Like this: \frac{2+3}{7} You can manually adjust the long_frac_ratio long_frac_ratio: The allowed ratio of the width of the numerator to the width of the denominator before we start breaking off long fractions. The default value is 2. >>> latex(e,long_frac_ratio=3) '\\frac{2 + 3}{7}' You can try to sympify the expression with keyword evaluate=False : >>> latex(S('(2+3)/7'

How to find all terms in an expression in Sympy

≡放荡痞女 提交于 2019-12-04 18:34:13
问题 I have an expression as: 1/(x+1)+4*x/(x-1)+3-4*x**2+10*x**2 What I need is a list that contain the terms in this expression. i.e. [1/(x+1), 4*x/(x-1), 3, -4*x**2 , 10*x**2] update : It should not collect like terms. Therefore the list should have -4*x** 2 and 10*x** 2 separately and not 6*x**2 after collecting like terms. 回答1: Based on the question and comments, if you can get the expression as a string, you can do something like this if you want to avoid term collection. (sympify("1/(x+1)+4

Take Python Function and Generate All Derivatives

守給你的承諾、 提交于 2019-12-04 17:12:10
I have a python function with variable number of arguments: F(x1, x2, ... , xN) I want to automatically generate N functions representing the derivatives of F with respect to each argument. F'_1 = dF/dx1 F'_2 = dF/dx2 ... F'_N = dF/dxN For example, I be able to give both F(x1) = sin(x1) and F(x1, x2) = sin(x1) * cos(x2) and get all the derivatives automatically. Edit2: If function F was 2 variable (fixed number of arguments), I could use def f(x,y): return sin(x)*cos(y) from sympy import * x, y = symbols('x y') f_1 = lambdify((x,y), f(x,y).diff(x)) The trick is to use inspect.getargspec to get

Control LaTeX expression color in ipython qtconsole

给你一囗甜甜゛ 提交于 2019-12-04 13:47:39
问题 I'm using a dark background for ipython. I would like to have sympy expressions pretty-printed with LaTeX. Problem is the current LaTeX font is black. How can I change LaTeX font colors in the ipython terminal? 回答1: You can set the forecolor and backcolor options in sympy.init_printing . For example, to print the equations in blue, use In [1]: init_printing(forecolor="Blue") 来源: https://stackoverflow.com/questions/18257270/control-latex-expression-color-in-ipython-qtconsole

Lambdify works with Python, but throws an exception with Cython

大兔子大兔子 提交于 2019-12-04 12:53:46
My website runs this Python script that would be way more optimized if Cython is used. Recently I needed to add Sympy with Lambdify , and this is not going well with Cython. So I stripped the problem to a minimum working example. In the code, I have a dictionary with string keys with values that are lists. I would like to use these keys as variables. In the following simplified example, there's only 1 variable, but generally I need more. Please check the following example: import numpy as np from sympy.parsing.sympy_parser import parse_expr from sympy.utilities.lambdify import lambdify,

Combining numpy with sympy

空扰寡人 提交于 2019-12-04 11:49:04
问题 I have a the following code: p = classp(); for i in range(1,10): x = numpy.array([[2],[4],[5]]) print p.update(x) class classp: def __init__(self): self.mymodel = array([2*x[1]], [3*x[0]], [x[2]]); def update(self, x): return self.mymodel #replace x(0)...x(1) with the given parameter My question is related the code above, I would like to define a model using sympy if it's possible, afterwards in the update function replace the sympy variables with the x values. Is it possible? How can I do

Factor sympy expression to matrix coefficients?

六眼飞鱼酱① 提交于 2019-12-04 10:39:39
I have tried to be diligent in looking through documentation and am coming up empty. I am trying to factor or eliminate terms in a expression to matrix form. My problem appears to differ from polynomial factoring (as I plan to implement a function phi(x,y,z) = a_1 + a_2*x + a_3*y + a_4*z ) import sympy from sympy import symbols, pprint from sympy.solvers import solve phi_1, phi_2, x, a_1, a_2, L = symbols("phi_1, phi_2, x, a_1, a_2, L") #Linear Interpolation function: phi(x) phi = a_1 + a_2*x #Solve for coefficients (a_1, a_2) with BC's: phi(x) @ x=0, x=L shape_coeffs = solve([Eq(phi_1, phi)

Python solve equation for one variable

南笙酒味 提交于 2019-12-04 09:37:25
问题 I'm trying to solve an equation in python using SymPy. I have a generated equation (something like function = y(8.0-(y**3.0)) which I use with SymPy to create a new equation like this: eq = sympy.Eq(function, 2) which outputs y(8.0-(y**3.0)) == 2 . but sympy.solve(eq) doesn't seem to work. >>> from sympy import Eq, Symbol as sym, solve >>> y = sym('y') >>> eqa = Eq(y(8.0-(y**3.0)), 8) >>> solve(eqa) Traceback (most recent call last): File "<stdin>", line 1, in <module> File "/usr/lib