Questions tagged [expression-manipulation]

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

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1answer
56 views

Writing mathematical expression in a file

I am trying to write a mathematical expression as variable = expression in the output file. The current method that I am doing is through ...
3
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1answer
45 views

Rationalizing only specific terms in an expression

How can I change an expression like A = (-1. a)/(x + y) - (2.1 b)/(x + y) + 4.1 + 2. x + (3. r s)/(x + y) so that -1. a becomes ...
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2answers
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Write x^3 as x*x*x

I use mathematica compute functions I need for some external coding. However I can't use terms like x^2+y^3 since my programming language needs this term written as ...
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1answer
34 views

Passing an expression to the Plot Function does not Work

Solving a differential equation I found that its solution was analytic, and I stored it as an expression from the default rule output of the DSolve[] function: <...
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1answer
67 views

Compile - Optimization of function calls - does it matter?

I was surprised to see that, in the results of CompilePrint for a function made with Compile, calls to ...
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1answer
57 views

Exploring curl of a gradient of a scalar function

Suppose I want to explore $\nabla \times \nabla V$ where $V$ is some scalar function. It basically results in a zero. But I would only know why if I solve it on paper. I wanted to use Mathematica for ...
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2answers
57 views

Collect terms in inverse powers of three variables

I have the following expression ...
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0answers
30 views

Simplify the coefficient of an expression after calling Collect

I have an expression for which I have run Collect to get the expression in terms of a few variables. I now want to run Collect ...
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1answer
57 views

Combining multiple graphs in one photo without consulting external programs [closed]

I want to add many plots from Mathematica into one picture and export as a PDF. Usually I select the plot and copy it as an image to Word, however the image reduces the accuracy of some plots. How can ...
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0answers
42 views

Reading product of same ByteArrays

I am handling a huge set of data and I am trying to optimize my code. I have very large expressions to expand and simplify and I've seen that converting the expressions to ByteArrays improves a lot ...
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1answer
87 views

Force results to be displayed in a way often seen in traditional math [closed]

I want to get my output in the form that I would write by hand. I have tried with TraditionalForm, but it did not work. I've looked at several answers in this SE ...
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1answer
140 views

Desktop vs. Cloud option, home plan vs. basic plan: syntax differences

I do not understand why the following simple expression is accepted using a browser (cloud option), but is not accepted using the installed software (desktop option) with the plan basic of Wolfram ...
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1answer
48 views

Find n-th derivative of the function, display it and then evaluate it at a point of choice

What would be the correct syntax to find the order derivative "$n$" in MMA, and to be able to evaluate it in a certain point. We ask for an example ; Find the order derivative 2 and evaluate ...
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1answer
79 views

Mathematica refuses to distribute a scalar through parentheses

I’m working on a problem involving Kelvin-Helmholtz instability and I’m trying to perform the linearization on Mathematica. For some reason when I get to my first order equation (ε × stuff + O(ε²) == ...
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0answers
27 views

Distinguishing function calls from multiplication when importing LaTeX via ToExpression and TeXForm

I'm trying to parse a LaTeX representation of a Desmos calculator (like this one) via Mathematica. Desmos exposes a JSON representation of its calculators, including a LaTeX representation of ...
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0answers
58 views

What is the difference between NSolve and N[Solve] [closed]

N[Solve] NSolve I am getting different results everytime I use these commands.
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2answers
73 views

How can I get output from Reduce assigned to a variable? [closed]

I use Reduce to solve an 3rd order equation, and the output is given as the OR'd combination the solution variable. Normally, I can do a replacement to assign the value to a variable, but that doesn'...
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0answers
50 views

Any way to automate solving problems where the answer from one question is used in the next?

I am a total Mathematica beginner. I just want to use it to do some calculations, and the reason it is so interesting and attractive to me as an engineering student is that it allows me to write maths ...
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0answers
39 views

How to eliminate a variable from coupled ODEs?

I found this question with an answer: How to eliminate variables in ODE? ...
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3answers
56 views

Computing the sum of the first row of a matrix

I wish to compute for the sum of the reciprocals of the first row of the distance matrix of a particular circulant graph. My code is as follows for the ordinary sum of the first row. ...
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1answer
105 views

Quantum bra and ket notations

Is there a way to define the above quantum expression in Mathematica. I am using an add on package in this link. http://homepage.cem.itesm.mx/lgomez/quantum/ What I have tried is: ...
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2answers
136 views

Better way to rename arguments to a functional form so that duplicate arguments are sequentially enumerated

I need to modify expressions that such as f[w, w, a, y, x, a, x, a] into f[w1, w2, a1, y, x1, a2, x2, a3]. In short, I have ...
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3answers
124 views

Simplifying expressions containing binary variables

Consider an expression with two binary variables, $a,b\in\left\{ 0,1\right\} $, given by $F=(1-a-b)^{3}(1-b)$, with truth table: ...
5
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4answers
191 views

Equivalent of select/remove for Mathematica?

What is the Mathematica equivalent of Maple's select/remove? To quote Maple: A typical application that uses select and remove ...
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0answers
39 views

Shorten a sum of many terms by introducing a rule for scalar product and Kronecker deltas and using repeated replacements

There is a sum of many terms that I would like to simplify by introducing a notation for scalar product of two vectors. Each term is a product of constants and of several components of 3D vectors: <...
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2answers
90 views

How to Simplify expression efficiently inside Power

How can I simplify trivial expressions under the Power? Here is one example: (z2p-z2p z3)^-ϵ ...
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1answer
59 views

How to extract terms from equation, and then set each of them to 0?

I have a long equation, namely, ...
6
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1answer
68 views

Collecting common powers of terms

How to collect the common powers appearing in the following function using MATHEMATICA, such that if I input (4 m^6)/((m - n)^2 (m + n)^4 (2m+n)^4) then the ...
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2answers
67 views

How to sort out/ extract positive and negative powers as list?

I have the following expression expr = x1^d1 * x2^d2 * x3^d3; where d1,d2,d3 can contain negative values/expression i.e. in ...
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3answers
121 views

Split matrix expression into multiple lines

Given a matrix expression testm = {a + b, c + d, e}; {# , testm[[ # ]] // Simplify} & /@ Range[ Length[testm] ] // MatrixForm \begin{equation}\begin{pmatrix} ...
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1answer
58 views

How to get the result in terms of a previously defined expression?

Say I have a vector X[n_] := Table[Subscript[x, i], {i, 1, n}] and a matrix of connections: ...
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0answers
28 views

Why are these expressions with shifted delta functions not equal?

I have the following equation Exp[a-t]*DiracDelta[t-a] == DiracDelta[t-a] which cannot be evaluated. However, if I plug in 0 for a: ...
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2answers
39 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
129 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: ...
5
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1answer
124 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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0answers
42 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
84 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

Define quaternions by properties instead of coordinates

I'd like to manipulate an expression of quaternions and only use the following properties ...
2
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1answer
84 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 ...
4
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1answer
140 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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0answers
41 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
45 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
47 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: ...
2
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1answer
53 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 ...
5
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1answer
75 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-...
5
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2answers
181 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
117 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 ...
2
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1answer
71 views

Extracting coefficients from a sum of exponential functions

I'm dealing with a sum of exponential functions with different exponents ...
2
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1answer
33 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
56 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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