# Questions tagged [coefficients]

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### How can I find coefficients of quadratic and cubic terms?

I have this code: ...
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1 vote
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### 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 ...
211 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 ...
1 vote
244 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 ...
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### 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, "$x_k$", ...
297 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 vote
160 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,...
1 vote
130 views

### How to evaluate an Integral which has Interpolating functions

I am trying to evaluate an Integral which has products of Interpolating functions inside, using NIntegrate command. It gives a wrong answer. The code that I used for performing this task is given ...
230 views

### Finding Coefficients in a Perturbation Problem related to Chaotic Dynamics

I am trying to reproduce the results from this paper: Chaotic dynamics of a suspended string in a gravitational background with magnetic field I am currently stuck with finding the coefficients. First ...
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### 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 InternalFromCoefficientList, and finally replacing the value of the free parameter with a ...
84 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 ...
155 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
157 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 ...
1 vote
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 vote
116 views

### Finding coefficients where part of the coefficient may appear in the terms

A minimal example is given below. My goal is that given a algebraic expression such as: expr = a^2 + a b + a^3 b + 2 a^2 b^2 + a b^3 I'm trying to find a command, ...
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### Finding the coefficients of an expression

I have a set of formulas of the following form: ...
1 vote
57 views

### Defining general recurrence expression and extracting coefficient

I'm new to Mathematica and I wish to solve a difference equation which is defined by the relation: $y_{i-1}-2y_{i} +y_{i+1} = f(x_i,y_i),\\y_0 = a, y_n = b.$. Where $x_i$ is given for all $i$. I want ...
1 vote
128 views