Questions tagged [expression-manipulation]

How to manipulate expressions structurally, not necessarily complying with the rules of algebra.

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2answers
29 views

Substitute an expression iteratively

I have defined this function replaceIteratively[expr_, x_, list_] := Module[{n = 0}, expr /. x :> (n++; list[[n]])] which does the following job ...
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1answer
111 views

How can I obtain the matrices of coefficients of quadratic form?

I'm trying to find the matrices of coefficients of a quadratic form: ...
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1answer
117 views

How can I emulate Orderless attribute?

Suppose I want an expression to automatically sort its arguments. This can be done via SetAttributes[f, Orderless] f[3, 2, 1] (*output is f[1, 2, 3]*) Just as an ...
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1answer
76 views

How to check if an expression is real in some domain

I was wondering if it is easy to see if a given expression evaluates to a real number in a given domain? Let $f(x,y,z)$ be some function depending on three variables $x,y,z$. I would like to know if $...
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0answers
41 views

Finding the domain in which a function is analytic with no imaginary part

I was wondering if it is easy to see if a given expression evaluates to a real number in a given domain? Let e.g. f(x,y,z) be some function depending on three ...
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1answer
131 views

Simplifying the final coefficient expression of the solution to a Laplacian

I have been trying to solve a boundary value problem analytically which involves a three-dimensional temperature Laplacian over a parallelepiped. In the final step of my solution, using the two non-...
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1answer
80 views

Converting an equation to the form $ax+by=c$

I have a linear equation that comes as a result of applying orthogonality on a non-homogeneous boundary condition with two unknowns $C_1$ and $C_2$. Can someone help me to express this equation in the ...
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0answers
37 views

Define quaternions by properties instead of coordinates

I'd like to manipulate an expression of quaternions and only use the following properties ...
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0answers
32 views

Calculate density of states for 1D system

The density of states for a 1D system can be written as: $D\left(\omega\right)=\frac{L}{\pi}\frac{1}{d\omega\left(k\right)/dk}$ I have some expressions for $\omega\left(k\right)$: ...
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2answers
43 views

Substituting values from an association thread into a table of expressions

I have asked a question here. Yet I am trying to do the same procedure with AssociationThread Suppose I have the following function which is a normal distribution: <...
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1answer
46 views

Substituting elements of lists into an expression

Suppose I have the following lists, as = {1, 2, 3, 4}; bs = {10, 20, 30, 40}; and the following expression: ...
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1answer
46 views

Crown a list of two sublists with ErrorBar without losing list structure

I have a list with two sublists of numbers, e.g. Sigmaf = {{1,2,3},{3,4,5}}; ... and I would like to crown each number with ...
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1answer
77 views

Transform rational equations to polynomial equations

I have a list of rational equations and I would like to convert it to a list of polynomial equations. I know that none of the variables and none of the denominators could ever be 0. So far I have ...
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1answer
66 views

Split Expression Into Constant And Non-Constant Summands

I have a partially t-dependent matrix which I want to split into its t-dependent and its t-...
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2answers
156 views

Replace a randomly chosen part of an expression

Given an arbitrary Mathematica expression, how can I choose a random part of the expression and replace it with another symbol of my choosing? For example, given $a x^3 +2y\cos(x)- \tanh(x^{y+3})/(x^...
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1answer
77 views

Fixed Point Iteration - Finding Iteration Functions

When we use Solve, it attempts to solve the system for the variables, for example Solve[x^3 + 4 x^2 - 10 == 0, x] If we want to use Fixed Point Iteration to ...
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1answer
53 views

Extracting coefficients from a sum of exponential functions

I'm dealing with a sum of exponential functions with different exponents ...
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1answer
30 views

Problem with recursive relations

Continuing the topic of my previous questions (link1 and link2), let me ask one more question. I have problems with the following code: ...
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0answers
54 views

check if one expression can be transformed into another

My question is how to use Mathematica to check if one expression can be transformed into another: Example 1: $ax^2+bx+c$ into $K\cdot(x+\alpha)^2+\beta$, and then show me $K(a,b,c)$ and so on. ...
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1answer
53 views

Replace a family of coefficients by a function in a sum

I would like to do something very simple, i.e. replace the coefficients in a sum by a function: c[1] + c[2] + c[3] /. {c[s] -> (s + 1)/(2 (2 s + 1))} ...
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2answers
60 views

Symbolic nest expressions

I'm trying to understand how to use symbolic expressions as arguments. The following example represents my problem: ...
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1answer
32 views

using pattern matching to separate coefficients and functions

I want to find out the coefficients and functions from an expression and possibly save them in separate files with same order. I have the following toy example: ...
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2answers
1k views

How to do algebra on summations of variable expressions?

Is there any easy, general way to handle algebra on variable Sums? For examples, Gaussian Mixtures or Fourier Series: ...
2
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2answers
79 views

Collect with linear combinations

Is there a way to collect coefficients on specific linear combinations of variables? Consider the example below: ...
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0answers
32 views

Expanding complex expression and replacing variables in the result

When I'm finished expanding my expression I would like the result to be expressed again in terms of the original variables (like α, S1, T1, T2). I've tried replace, ...
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1answer
44 views

Optimizing an equation - show the length of an equation, including operators

A simple, but I think useful question to know the answer for. How can I quickly count the length in my equation, including +,-, and so on? For example, $x^2+1$ has a length of 4.
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0answers
27 views

Computations with OptimizedExpressions without completely expanding them

I have to manipulate huge expressions that are rational functions of many (∼30) variables with integer coefficients. Storing them just as a ratio of two polynomials would be impractical. But they can ...
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0answers
38 views

Rearranging expressions by DragAndDrop

I see that the DragAndDrop option for editing is not supported anymore. However, I think this could be a really useful feature, for instance to rearrange the terms of an expression in the form we ...
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1answer
29 views

Applying function to both coefficients and variables in Collect

I am dealing with expressions schematically of the form expr = c[1] G[1] + c[3,8] G[3,8] + ... + c[3] G[1] + ... where the Gs are fixed objects, and the cs some ...
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2answers
156 views

Extracting parts of an expression

I have lists with expressions like this one: {-DTMomentum2[{0, 0, 1}], DTMomentum2[{0, 0, 0}]}. DTMomentum2 is just an undefined ...
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4answers
6k views

How can I transfer mathematical expressions between Mathematica and Maple?

Is there a simple way to copy mathematical expressions between Mathematica and Maple (or at least in one direction)? I mean only expressions built from numbers and predefined mathematical functions, ...
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0answers
49 views

Fast way to apply permutations in large list?

I have one Polynomial in the form of FF[x1,x2,x3,x4,x5,x6,x7,x8], where xi pick numbers from ...
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3answers
73 views

How to hold the expression when using ToExpression with TeXForm

I know {1, 1} // Apply[Defer@*Plus] can return 1+1 But if I want hold the form from TeXForm,what should I do? ...
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0answers
28 views

Lexicographical Search and Conjugate

I bid you a good day. I want Mathematica to plug this assumed solution into the left hand side of a differential equation. Then collect terms of powers of $\alpha$. $\psi (x,y)=\alpha f_1(y)e^{i x}+...
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1answer
25 views

Testing expressions with === (SameQ) between original expression and after Factor[], Expand[] and FullSimplify[] [closed]

a=16x^4 y^5 (81-z^4)-54xy^2 (81-z^4) Out[30]= -54 xy^2 (81-z^4)+16 x^4 y^5 (81-z^4) b=Factor[a] Out[31]= 2 (27 xy^2-8 x^...
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1answer
61 views

How do I apply complicated algebraic/trigonometric manipulations to nested expressions?

Consider the expression $$ a\sin(x)-a\sin\left(\frac{x}{a}\left(a+\frac{ay}{x}\right)\right) \label{a}\tag{1} $$ which can be rewritten as $$ \sin(x)-\sin\left(x+y\right) \label{b} \tag{2} $$ and ...
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1answer
57 views

How do I build a position index of a general held expression to arbitrary depth?

I have an expression which I would like to make a position index of, which for sake of argument will be this: expr = f[q + g[x, y, z]]; Since it's not a list, ...
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1answer
35 views

Extracting argument of a specific functions in a large expression

I have a large expression, for example Cos[x]Sin[y]Sqrt[1+z]/(1+x^2)-1/(1+y) I wish to extract the argument inside Sqrt ...
7
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1answer
72 views

Any differences between Activate[…] vs ReplaceAll[…,Inactive[f_]-f>]?

I can activate an expression with Inactive objects such as expr = Inactive[f][Inactive[f][x], y] + Inactive[f] by applying <...
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0answers
55 views

Finding a selected expression

How can I find all expressions matching the one I am selecting? This features exists in Matlab and is quite helpful: Just trying to make my debugging easier. Thanks!
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1answer
55 views

Manipulate MeshRegion as normal Mathematica expression

A MeshRegion seems to function quite differently from any other Mathematica expression. One cannot take a Part of it. Nor can I ...
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0answers
54 views

How to do an arbitrary expression growth in Mathematica?

I want to write a function that can be used to grow an expression from a seed or another existing expression based on part specification. ...
6
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3answers
261 views

Split expression into list of terms

I'm looking for a nice way to split an expression into a list of the terms (i.e. the addends). The desired behavior in: ...
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0answers
18 views

Comparing fractions by using partial fractions or a specific factorisation?

Trying to reproduce the results of a paper I had to solve a difficult integral. I obtain: \begin{equation} A=-N\left ( \epsilon r+\log(1+r) +\frac{rx^2(1-r\tau + \tau r^2 (\tau +1))}{1+r}+\frac{ry^2(-...
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0answers
38 views

Canceling factors from numerator and denominator with complex number

I have the following expression: $\text{expr} = i \frac{\sqrt{a-b}}{\sqrt{b-a}}x$. Clearly simplifying expression gives $\text{expr}=x$ by cancelling the numerator and denominator. However, I am not ...
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1answer
65 views

How can I show that the equation holds?

Suppose we have the following data: $ r=\frac{vk}{h^2}$ $u[i,j]$ is a function of two variables with $i,j$ integers. $\frac{u[i,j+1]-u[i,j]}{k}=v\frac{u[i+1,j]-2u[i,j]+u[i-1,j]}{h^2}$ Then I would ...
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2answers
85 views

Assert no unevaluated function applications

Background Suppose I have begun a fresh kernel session, and I have defined the following function alone: F[x_, y_] := x + y; One expected use of ...
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1answer
32 views

Making substitution to an expressions with a list of numerical data [closed]

Suppose I have an expression similar to this: y=23.23*(h[x]^2)*(D[h[x],x])*(D[h[x],{x,3}])/(13.2+Cos[0.245x]) The actual expression is a lot more complicated, but ...
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3answers
76 views

Select variable and its derivatives

A simple question: I have this equation: ...
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3answers
137 views

isolating a specific variable to one side in an equation

I am trying to do a simple operation of manipulating an equation of multiple variables (say, $x,y,z$), so that I can get one of the these variables on the LHS and everything else on the RHS. It should ...

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