I'm trying to represent the ring; where theta is the root of a monic irreducible polynomial f with integer coefficients of degree d. This ring is a subring of the algebraic integers, which itself is a subring of the field; I can represent this field with sympy's AlgebraicField class Q_theta...

How can simple linear differential equations like this one be solved in sympy? y' + p(t)y = q(t) I'm looking to solve it in two ways: symbolically (analytically) if possible, if sympy can derive the integrating factor, etc., and also a way to do it numerically so that the two...

The full mathematical problem is here. Briefly I want to integrate a function with a double integral. The inner integral has boundaries 20 and x-2, while the outer has boundaries 22 and 30. I know that with Scipy I can compute the double integral with scipy.integrate.nquad. I would like to...

I have a list: a = range(2) and I am trying to get the list's contents binned into n(=3) bins, in all possible ways, giving (order not important): [[[],[0],[1]], [[],[1],[0]], [[],[0,1],[]], [[],[],[0,1]], [[0],[1],[]], [[0],[],[1]], [[1],[0],[]], [[1],[],[0]], [[0,1],[],[]]] So far, I have been using the sympy.utilities.iterables library, firstly to get all...

As a Sympy newbie, I was trying to learn how to use it by test-driving it on a simple case (simple least squares fit to a straight line). This is what I have as result of previous calculations (next line is an output from iPython): Sum(2*a*x(i)**2, (i, 1, N)) +...

For example, if I run import sympy x, y, z = sympy.symbols('x:z') f = sympy.exp(x + y) - sympy.sqrt(z) is there any method of f that I can use to get a list or tuple of sympy.Symbol objects that the expression contains? I'd rather not have to parse srepr(f) or...

This might be a very basic question, but I am wondering if I am missing a sympy-functionality after reading through the documentation, or if there is really non included for this use-case. I have the following expressions: a = sympify("b + 5") b = sympify("c + 5") c = sympify("5")...

I'm trying to nice print some divisions with Sympy but I noticed it didn't display aligned. import sympy sympy.init_printing(use_unicode=True) sympy.pprint(sympy.Mul(-1, sympy.Pow(-5, -1, evaluate=False), evaluate=False)) # Output: # -1 # ─── # -5 # Note that "-5" is displayed slightly more on the right than "-1". Reason/fix for this? EDIT: I...

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}

I have expressions containing a relational operator, symbols, and constants. I'd like to rearrange the expressions so that (to the extent possible) all the constant terms are on one side of the relational operator, and the remaining terms on the other side. For example, I'd like to rearrange: x -...

How can I get sympy to simplify an expression like log(exp(exp(x))) to exp(x)? It seems to work on simpler expressions like exp(log(x)) => x. This is a minimal example showing what I've tried so far: import sympy from sympy import exp, log x = sympy.symbols('x') a = exp(log(x)) print a...

How can I define a succession of functions h_k: k=1,2,3,... by using two known functions f=f(x) and g=g(x) as follows: h_1=f/g, h_{k+1}=diff(h_k,x)/g, for k=1,2,3,..... Note that the new functions have two entries h(k,x)=h_k(x). I want to do it in Sympy....

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 +...

It is easy to obtain such rewrite in other CAS like Mathematica. TrigReduce[Sin[x]^2] (*1/2 (1 - Cos[2 x])*) However, in Sympy, trigsimp with all methods tested returns sin(x)**2 trigsimp(sin(x)*sin(x),method='fu')...

I've got 2 matrices, first of which is sparse with integer coefficients. import sympy A = sympy.eye(2) A.row_op(1, lambda v, j: v + 2*A[0, j]) The 2nd is symbolic, and I perform an operation between them: M = MatrixSymbol('M', 2, 1) X = A * M + A.col(1) Now, what...

I want to do something like h = f(g(x)) and be able to differentiate h, like h.diff(x). For just one function like h = cos(x) this is in fact possible and the documentation makes it clear. But for function compositions it is not so clear. If you have done this,...

I am making a syntax error, some how my syntax is leading python to think I am writing +.log some where? Please take a look at the code and let me know. Can any one suggest, a function that can be used instead to solve this Algorithm import numpy as...

Is this possible? What I want to do is something like this: sympify('2>1 | 2<1') I pretty much only need 'or' and 'and'. I also tried doing sympify('2>1') | sympify('2<1'). Ideally I would want to just be able to send in a string with relations and logical operators to a...

Is there a way to plot a 3 variable implicit equation using sympy. Going by docs it has only support for implicit 2d plots. Or are there any other options for plotting a 3d plot using python where the equation can be an input from user

The overall goal is to solve a simple linear [one var] equation in the same way that a human would. So, finding the most nested (), distributing until all the multiplication is done. (then combining like terms and then dividing one side of x's to the other side of constants)...

I am doing a maths quiz for my coursework based around differentiation and integration using python 3. I'm finding it difficult to check if the answer, typed in by the user, is correct. I'm currently using the code below. However, if the user types in answer but in a different...

I've been working with Sympy for an Interpolation, in wich I obtain as a result a 7th degree Polynomial (ax^7 + bx^6 + cx^5 + ...+ h) wich I want to Plot, but wen I try to plot it I get errors, for example, if i try: plt.plot(r,U.subs(x,r)) where r...

I am trying to learn how to use Numpy. Consider I have the roots of a polynomial. I use coeff = np.polynomial.polynomial.polyfromroots(roots) to get the coefficients of the polynomial as an array. Then I use print np.poly1d(coeff) To print out the polynomial. Let that polynomial be x^2 +3x + 2...

I can't understand behavior of sympy.integrate() function. The simplest example, integrate and differentiate: t = sy.Symbol('t') t1 = sy.Symbol('t1') f = sy.Function('f')(t) I = sy.integrate(f, (t, 0, t1)) f1 = I.diff(t1) print f1 prints the following: f(t1) + Integral(0, (t, 0, t1)) But I expect to see just f(t). Calling...

I want to use Sympy's polynomials, but I also want to use higher-precision coefficients. Just Doing It seems to give me polynomials with sympy.core.numbers.float coefficients. import sympy from sympy import Poly from sympy.abc import x from gmpy2 import mpfr, get_context get_context().precision = 150 #float64 can't tell this from 1.0 one_and_change...

Hi I'm learning linear algebra with python with an Edx course. (http://nbviewer.ipython.org/github/ULAFF/notebooks/tree/may-14-2014/). On "02.4.2.10 Practice with matrix-vector multiplication" with the first box, the code is: import generate_problems as gp print("What is the result of the matrix vector product below?") p = gp.Problem() p.new_problem() generate_problems is a module that the professor...

I am using the Sympy function for the generating the 3D Quantum Harmonic Oscillator radial wavefunction (http://docs.sympy.org/dev/modules/physics/sho.html#sympy.physics.sho.R_nl) in order to use the Harmonic Oscillator Basis to solve for the energies of the potential well. The documentation for the radial wavefunction is not very clear on what units are being used...

I'm currently trying to solve a system of equations using sympy (following this lecture on scientific python) and I'm getting the following error: Traceback (most recent call last): File "VMT.py", line 13, in <module> [Vmc, Vgp, tmc, tgp]) File "/Library/Frameworks/Python.framework/Versions/7.3/lib/python2.7/site-packages/numpy/linalg/linalg.py", line 311, in solve _assertRank2(a, b) File "/Library/Frameworks/Python.framework/Versions/7.3/lib/python2.7/site-packages/numpy/linalg/linalg.py", line 155,...

I am using sympy to solve a simple inequality. After solving it, I want to assign the right hand side of the solution to a new variable. from sympy.solvers.inequalities import reduce_rational_inequalities from sympy import Symbol x = Symbol('x', real=True) sol = reduce_rational_inequalities([[x*0.2 >= 1]], x) print type(sol), '\n', sol >>...

I am trying to factor an expression, and separate coefficients to matrix form, such that: Closely related to Factor sympy expression to matrix coefficients?, where Wild symbols are used with match(form) to determine coefficients for its matrix form. However, I am unable to get the match(form) method to work for...

sympy is giving me the following expression: 2.8*x**2 - 4.0*x*Integral(1.0*x**2*sqrt(-x**2 + 1), (x, -1.0, 0.0)) + 1.33333333333333*x + 0.133333333333333 i want sympy to give me numerical values for the coefficients. how can i do this? .evalf and N() didn't work. this is my code from numpy import * from sympy...

I have a variable which may or may not be a sympy class. I want to convert it to a float but I’m having trouble doing this in a general manner: $ python Python 2.7.3 (default, Dec 18 2014, 19:10:20) [GCC 4.6.3] on linux2 >>> import sympy >>> x =...

I have Sympy installed with Anaconda, my version (of Sympy) is 0.7.6 . I want to be able to use the git version of Sympy. Do you know how can I tell to Anaconda to substitute the 2 versions ? I've tried using the git clone command, but the Sympy...

I would like to use the SymPy packages to find the roots of a fourth-order polynomial equation. Subsequently I would like to plot these roots as a function of the parameters of the polynomial equations. I have written the piece of code below. It seems to calculate everything fine, but...

I am trying to convert an expression containing terms with various degrees of a symbolic variable z_s into a polynomial in python using sympy.Poly() so that I can then extract the coefficients using .coeffs(). The expression I have is a high-order polynomial with independent, symbolic variable z_s. For some reason,...

Using the recent version of sympy (0.7.6) I get the following bad result when determining the integral of a function with support [0,y): from sympy import * a,b,c,x,z = symbols("a,b,c,x,z",real = True) y = Symbol("y",real=True,positive=True) inner = Piecewise((0,(x>=y)|(x<0)|(b>c)),(a,True)) I = Integral(inner,(x,0,z)) Eq(I,I.doit()) This is incorrect as the actual result should...

I have 8 lists of variables (each identical size). For each element of the list I wish to create a new list that is the result of a mathematical solution involving the variables. Here is my code using Sympy: from sympy.solvers import solve from sympy import Symbol x = Symbol('x')...

I'm trying to calculate the dimension of algebraic sets in affine space using sympy. I doubt sympy has functionality for finding the dimension defined as; "the maximal length of all ascending chains of proper distinct non-empty sub varieties" Is there a built in sympy function to calcuate the krull dimension...

So i have tried the following code copied straight from the docs, and it seems to me the function is not doing what it is supposed to: import sympy as sp M = sp.Matrix(3,3,lambda i,j: i+j) V = sp.Matrix.zeros(3, 1) M.col_insert(1,V) print(M) gives the output Matrix([[0, 1, 2], [1, 2,...

let's assume I have a script that creates a vector v with a certain number of elements x1, x2, x3, etc (each element is a sympy symbol). import sympy as sp # generated by script, so the number of symbols/length of v is always different: sp.var("x1,x2,x3,x4,...") v = sp.Matrix([x1,x2,x3,x4,...]) g...

OK. I have the points that comprise the borders of a polygon. I want to (a) use Sympy's geometry module to determine, from all of the possible line-segments between any pair of points, which segments do not cross the perimeter. This result will be the "edges" that are allowed to...

Is there any documentation that lists the predefined symbol names (or spelling conventions) that sympy renders as specialized math symbols? For instance, I found the ones shown below by trial and error. I've tried Google searches and searches within the sympy docs and source code without finding anything other than...

I'm trying to learn SymPy. I've written the following and its throwing an error. I haven't even gotten to anything complicated... from sympy.solvers import solve from sympy import Symbol string = "10x+4=7" #equation = raw_input("Enter an equation") left, right = string.split('=') string = left + "-(" + right + ")";...

I'm creating a system which quizes the user on integration and differentiation using python 3. when i display questions they are in a form like: -25*x**(3/5)/3 + 6*x**(4/3) - 5*x**6/3 + x**2/2 - 4*x How could I change it to a form like: -25x^(3/5)/3 + 6x^(4/3) - 5x^6/3 + x^2/2...

I have a function in sympy which is quite ugly: In [79]: print(expected_c) Out[79]: 2**(n - 2)*n*(n - 1)*binomial(m, n)*factorial(m - 3/2)*factorial(m - n)/(binomial(2*m, n)*factorial(m - n/2)*factorial(m - n/2 - 1/2)) I want to solve it for some $m$ (say 10000) to find $n$ such that my formula values, say...

I have a project where I would like to use a set of associated legendre polynomials. I had the idea to generate the code for a set of degrees and orders by using sympy. I can get sympy to calculate specific values like explained in the docs: http://docs.sympy.org/dev/modules/mpmath/functions/orthogonal.html#legenp I cannot...

With numpy, I am able to select an arbitrary set of items from an array with a list of integers: >>> import numpy as np >>> a = np.array([1,2,3]) >>> a[[0,2]] array([1, 3]) The same does not seem to work with sympy matrices, as the code: >>> import sympy as...

I'm looking for a speedy algorithm to find the roots of a univariate polynomial in a prime finite field. That is, if f = a0 + a1x + a2x2 + ... + anxn (n > 0) then an algorithm that finds all r < p satisfying f(r) = 0 mod...