Questions tagged [coefficients]

The tag has no usage guidance.

171 questions
Filter by
Sorted by
Tagged with
1 vote
53 views

Coefficient of factors in fractional expression

Consider the following algebraic expression ...
• 155
223 views

Simplifing equation with complex coefficients

I'm trying to simplify an expression with complex coefficients. It should be very straightforward, but for some reason, I cannot get the correct answer. Please, see the code below: ...
39 views

Continuous Wavelet Transform Coefficients

I am trying to reconstruct the continuous wavelet transform coefficients from Mathematica without using the ContinuousWaveletTransform function. I need to create this reconstruction for my data in a ...
38 views

Simplifying fractional powers and collecting coefficient list from it

Problem I want to generalize a solution I already have for a simpler situation. In my case I need to collect coefficients from a variable assuming fractional powers and on. First I'll present some ...
• 175
1 vote
38 views

41 views

Extracting matrix coefficients from multivariate matrices

Suppose we have a multivariate polynomial matrix $P(\mathbf x) = \sum_\alpha A_\alpha\mathbf x^\alpha$ (in multi-index notation) where the $A_\alpha$ are constant coefficient matrices. I am looking ...
101 views

How can I extract a matrix and vectors of coefficients from this quadratic expression?

Consider the following expression (x-y+a)^2 + (x-z+b)^2 // Expand The result is ...
• 553
47 views

Extracting coefficients from a list of expressions

I have a list of the form, ...
• 1,533
58 views

• 411
50 views

how to get the set of coefficient of a trig function in terms of the sines and cosines of a given angle

Say I have an expression like this a Sin[\[Theta]]^4 + b Cos[\[Theta]]^4 + c Sin[\[Theta]]^3 Cos[\[Theta]] + d Sin[\[Theta]]^2 + e=0 My ultimate goal is to solve ...
• 735
37 views

Inversion in Fourier coefficients estimation problems

Let us suppose we have a coefficient vetor: coeff = {a0, a1, b1, a2, b2, ..., an, bn} with a total of (2*n + 1) elements. Those coefficients are applied in a ...
1 vote
95 views

Comparing two power series and extracting their coefficients

I have a standard mathematical problem that I was wondering how to solve efficiently by mathematica. Here is the problem. I have two power series expansions of a function ...
52 views

Replace coefficients with RootApproximant of themselves

I have an expression, not necessarily a polynomial, and want to take all the coefficients on whatever terms there are and replace them with the RootApproximant ...
• 304
155 views

Extracting the coefficient of a certain term from a polynomial

I want to take out the coefficient of z1^a1 z2^a2 ... zn^an from a polynomial function expr,where ...
115 views

How to get the coefficient list of their product from the coefficient list of two polynomials?

If I have the coefficient list of two polynomials ...
• 581
45 views

Calculating minimal unknown coefficients of a sum

I have a problem, where I have to find the minimum of a function with a sum in it (coefficients are unknown): psi[x_] := 1 + a*x + b*x^2 + c*x^3 + d*x^4 + ... ...
64 views

Can't use Coefficient properly

I could successfully solve an ODE (Ordinary Differential Equation) with this: ...
100 views

Extract system of linear equations from the linearly independent vectors

Dear StackExchange Community, I have a lot of linearly independent vectors, e[i]e[j], e[i]e[j]h[i], f[i]e[j], etc, and I have an equation for example ...
• 53
147 views

Code: ...
• 177
1 vote
74 views

Putting everything with the same power together

I'm doing some computations wich involves a lot of big polynomials, for example: ...
• 95
88 views

Simplifying the function for the common factors; and showing that it contains a multiplicative factor $i e^{i (6 x + 3 b + t)}$

I have the given long function for $\{x>0,b,t\}\in\mathbb{R}$ and $\{m,n\}\in\mathbb{N}$. I have two questions: This function contains many common factors in polynomial form (as can be seen in the ...
• 749
58 views

CoefficientList for unbounded list of variables

Consider a polynomial: expr = Sum[x[k] a[k] + x[k], {k, 0, K}]; I want to determine the coefficients for variables x[k] for each ...
51 views

How to ask Mathematica to extract all $y$-dependent terms in the given function $f(x,y,z)$?

I have a very large three-variable function $f(x,y,z)$ for real variables $\{x,y,z\}$ (I had to put only part of my original function because of the limit of $30000$ characters). Is it possible to ...
• 1,169
1 vote
73 views

Is there any hope to compute the determinant of $56\times 56$ parametric matrix and simplify the result?

I have this $56\times 56$ parametric matrix $M$ and I want to compute its determinant where $\{t,y,z\}$ are some real parameters. I use Det[M] but it takes a lot ...
• 1,169
63 views

I have the following equation : $f(x)p(x)=g(x)p(\frac{x}{q}) + g(\frac{1}{xq})p(xq)$ q is a constant and $f(x)$ is a polynomial whose expression I have. Similarly $g(x)$ is also a known function. $p(x)... 4 votes 2 answers 93 views Normalizing the output of Apart My question is closely related to this one but the accepted answer does not meet my needs. I have a rational function$f(x)$in one variable which admits a partial fraction decomposition of the form $$... 1 vote 1 answer 126 views Problem in getting coefficients list of power series solution of y''[x]*y'[InverseFunction[y][x]] - y'[x] == 0? I have tried to get solution of the following ODE: y''[x]*y'[InverseFunction[y][x]] - y'[x] == 0 Using the code given below, the solution is a formal power series ... • 1,078 4 votes 2 answers 353 views Coefficients of a multivariate polynomial Let's say I have the polynomial x+2y+3xy \in \mathbb Q[x,y] or x_1+2x_2+3x_1x_2 \in \mathbb Q[x_1,x_2], that is x+2y+3xy or ... • 425 2 votes 0 answers 569 views Nonlinear Model Fit - Force a Constrain I am trying to achieve the best fit for a non linear model, yet I need to ensure that certain coefficients return as positive values. I have been looking for similar questions but I have found nothing ... • 23 3 votes 3 answers 116 views Get coefficient of a symbolized symbol in a sum that involves other symbolized expressions My mathematica notebook begins with symbolizing all expressions of the form x subscript an integer, "x_k", ... • 195 6 votes 3 answers 481 views Extracting the constant term Finite difference problem There are a large number of variables, interacting at most five at a time. A sample term is: How to extract the constant term? In this example, the constant term is -1/4. • 1,092 1 vote 2 answers 236 views How to write code for SeriesCoefficient to work for non integral coefficients? I have a function of r which I expand at \infty using Series. It is a complicated and messy function, with a parameter 0 \leq \epsilon < 1. After expansion,... 11 votes 2 answers 684 views Out of memory when computing a coefficient of a large symmetric polynomial ... 2 votes 1 answer 101 views Plotting of a polynomial function via two approaches I am trying to plot a polynomial via two approaches: Take CoefficientList of the polynomial and then take Internal`FromCoefficientList, and finally replacing the value of the free parameter with a ... 0 votes 1 answer 91 views Series development of laurent in a defined domain I am trying to correct some bills for laurent series with mathematica, but the output I am getting at the moment is not the best. For example, I have this function$$\frac{1}{z^2 + 9}$$to develop at ... • 139 0 votes 1 answer 223 views Create a general polynomial function [duplicate] I search for a simple procedure to create a polynomial function with unknown coefficients. For example if I asked for the most general polynomial of two variables 'x' and 'y', of second degree, it ... 1 vote 1 answer 239 views Replace coefficients in a polynomial I want to replace the coefficients of a polynomial by new coefficients. For example, my polynomial of variable 'r' is in the picture I want to replace the coefficients with 'a subscripts' similar to ... • 11 1 vote 0 answers 80 views Coefficient works on$\pi$,$x$and$x^2$, but not on$\pi ^2\$

Consider (\[Pi] + 2 \[Pi]^2 + 3 x + 4 x^2) Executing ...
• 1,205
1 vote