Questions about Mathematica's rule-based replacement functionality, including functions such as Rule (->), Replace, ReplaceAll (/.) and ReplaceRepeated (//.).

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5
votes
2answers
488 views

Replace rule with function? Derivatives don't evaluate

Say I have an expression (call it expr) involving a function, f[x]. I'd like to be able to evaluate that for a particular choice of ...
0
votes
0answers
37 views

Replace function and its derivatives [duplicate]

When I have a complicated expression that depends on some variable, say, $f$, the following usually works ok: Expression ./ { f-> x^2 } But if $f$ is a ...
6
votes
3answers
918 views

Replacing Tan[x] with Sin[x]/Cos[x]

Why doesn't this work? (1 - Tan[x])/(Sin[x] - Cos[x]) /. Tan[x] -> Sin[x]/Cos[x] I get back: ...
0
votes
1answer
94 views

How to make this particular replacement involving exp

I apologize if similar questions have already been asked, but I have some difficulties with replacements in Mathematica and I would like to make a substitution like ...
0
votes
1answer
45 views

Solving a trigonometric equation for all $x$ using constant coefficients

I want to find the coefficients $a$, $b$, $c$, etc. that make an equation like $a+bx=x$ true for all $x$, but for trigonometric functions of $x$. For example ...
4
votes
2answers
60 views

Composition of rules: a->b + b->c = a->c

I am trying to compose two rules to form a new one: {a -> b, b -> d} and {b -> c} should become ...
3
votes
1answer
69 views

Convert an expression to use a specific analytic form

I have an expression that evaluates to an expression containing multiple ExpIntegralEi expressions. However, I would prefer that Mathematica use ...
3
votes
0answers
127 views

Define (conditional) substitution rule for sum/difference of radicals

I want to tell Mathematica to simplify some expressions applying the following substitutions, conditioned on the fact that $a\geq 0,b \geq 0, a^2-b\geq0 $ $$ \sqrt{a+\sqrt{a^2-b}} \pm \sqrt{a-\sqrt{a^...
11
votes
6answers
374 views

Fill out blanks with a upcoming number in a list?

I have a bunch of arrays looking like this: {"", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", "", ...
4
votes
2answers
137 views

ReplaceRepeated as a Looping construct?

There are a lot of discussions about looping constructs (notable example here). Wolfram language guides, as usually, contain most relevant links. Looping constructs guide has the following part on ...
1
vote
1answer
43 views

Pattern matching for product of two terms fails if one factor is 1

I have a long set of replacement rules that I utilize to solve some longish integrals over trigonometric functions. Just look at this snippet (from this answer): ...
14
votes
4answers
404 views

A replacement problem

list = {1, x, 3, x, 4, x, x, 3, 4, 3, x, 2, 3, x, 8, 7}; If there is exactly one integer between two x I want to replace it with y: ...
0
votes
0answers
44 views

Replacing parts of a complicated expression with shorthand symbols

I have a list, each element of which contains a different complicated expression. Here is a simplified example of the first three entries of the list, displayed one above the other: $\frac{Ey \ \mu \ ...
2
votes
1answer
79 views

How to do literal replacement to format expression?

I can do a replacement of an expression with some variables to alternate symbols: ...
0
votes
1answer
50 views

Misunderstanding of Replace code

I am looking for the right way to replace $\delta \, \, \text{by} \, \, 0.05 \, \, \, \beta \, \, \, \text{by} \, \, \, 1.77 \, \, \, \text{and} \, \, \, n \, \, \, \text{by} \, \, \, 12$ in this ...
1
vote
2answers
117 views

Apply tranformation to particular list elements

I have a list with elements {a -> -1, b -> -2, c -> -3} If I now wanted to apply a tranformation to b and ...
3
votes
1answer
69 views

Is the replacement operator associative?

In mathematics, a given operation $\circ$ is said to be associative if there is equality $$(f\circ g)\circ h=f\circ(g\circ h)$$ for any $f$, $g$ and $h$. Intuitively, this means ...
5
votes
5answers
444 views

Random character change in a random place

I would like to ask for help in a Random Replace of character. For example: ORANGE and change 1 character randomly (random place and random character from ORANGE) in it into any character of ORANGE, ...
2
votes
1answer
60 views

Replacing elements in a list if contains X (string)

I want to replace T1 with T2 if the list contains X (It's a string with something more) or else return unevaluated. Input:...
0
votes
2answers
43 views

How to replace a hole mathematical expression? [closed]

I have the following function: Input: f=-a n^2/v^2 +v/n I want to Replace v/n by v_new ...
0
votes
1answer
137 views

Getting mathematica to factor out constants and apply euler's identity to a table

I'm doing some quantum mechanics homework that I'm going to eventually generalize to higher spin states, so the solutions are going to need to be decently independent of the dimensions of the table ...
4
votes
1answer
151 views

Generalization of a rule to N arguments

I am trying to apply a series expansion on a function x[t1,t2,...tn], with an expansion parameter a. For ...
7
votes
3answers
168 views

A replacement question

I have: {{θ -> 0}, {θ -> (2 π)/ 3}, {θ -> π}, {θ -> (4 π)/3}} I would like to create a list of points $(\cos\theta,\sin\theta)$ using each of the ...
4
votes
2answers
65 views

Type error before replacement rule is applied

When I type a <> "0" /. {a -> "1"} I get the error ...
0
votes
1answer
118 views

Replace instanced variables within module-return functions for dynamic Tooltip

Currently I am stuck with the issue of renaming an instanced variable like r1$38655 to a global one. The function is created within a "localizeAll" Module. Here's ...
2
votes
2answers
142 views

Replacement rule not having desired effect

So I have this replacement rule that tends to work in most cases, except occasionally in cases like this: ...
8
votes
1answer
84 views

On an existing notebook, how to transform all “double brackets” into “DoubleBracket”

Sometimes, having all double brackets [[...]] transformed into \\[LeftDoubleBracket] ... \\[RightDoubleBracket] can really ...
6
votes
2answers
191 views

How can you resize all the images in a notebook section?

I've pasted a large number of photos and they are too big which makes scrolling hard. Is there a way to automatically have Mathematica size them to 10% or something reasonable without have to click on ...
2
votes
1answer
60 views

Using strings in defining rules

I am very new using Mathematica and I would like to define a rule of replacement which operates as below, keeping freedom for what concern the pre-factors that can appear in the equation: $$e^{\pm ix} ...
1
vote
0answers
28 views

Why variable in SparseArray can't be replaced? [duplicate]

SparseArray[{1, 1} -> t] /. t -> 1 Still contains t. Why t is not replaced by 1?
2
votes
1answer
81 views

how to change Symbol to other symbol?

I have Input =a**b**c I want to have output such as {a,b,c} So I want to change **->, but replace code does not work. How ...
0
votes
1answer
162 views

Using NDSolve initial conditions as parameters for a function and then a replacement rule

I am trying to make a function based on two initial conditions of a set of differential equations: ...
2
votes
1answer
80 views
1
vote
1answer
112 views
3
votes
1answer
86 views

Simplifying an expression with complex variables

The other day I was trying to simplify the following expression of $w \in \mathbb{C}$ and $|w| < 1$: $$f(w) = \left|\frac{2}{(\frac{w+1}{1-w}+1)^2}\right|^{-\Delta} \cdot \frac{1}{\left|{\rm Re}(\...
1
vote
0answers
47 views

Collect fails to collect all powers of my variable [closed]

I am fairly new to mathematica and have not used it to really code anything at all, but just used it as an kind of advanced calculator. My issue is the following: I need to extract the power of a ...
3
votes
1answer
94 views

How could I perform this replacement?

I essentially have something of the form pm[1, 2] pm[3, 4] pm[5, 6] c[{1, 2, 5, 6}, "+"] c[{3, 4}, "-"] I want to add next to each pm a corresponding plus or ...
1
vote
2answers
171 views

Find the explicit solution of the integral

I want to calculate the integral: assuming that we are familiar with the relation: The answer should be: The code that I've used is the following: ...
1
vote
0answers
59 views

How can I perform this replacement? [closed]

I want to take an expression of the form p[1,2]p[3,4] and have an output of something like {{1,2},{3,4}} If I do the ...
0
votes
1answer
53 views

How to do this replacement without a for loop?

I'm new to Mathematica and I'm trying to get past my desire to use For loops for everything; can somebody tell me a simple way to make this replacement? I want my input to be ...
0
votes
2answers
186 views

Approximate UnitStep for use in Enterprise CDF

The following Manipulate code displays the VectorPlot for all functions. (This code is a subset of a more extensive notebook which is based on the structure you see below. Consequently, I need to ...
9
votes
1answer
108 views

MapAt with Replace(All) causing kernel crash

Bug introduced in 10.1 and fixed in 10.2 I wanted to roll a function that works like /. but only acts on the very first match it encounters. ...
5
votes
1answer
86 views

How to transform abstract finite group to permutation group?

It seems that Mathematica only has group functionality for permutation groups? Then there is a step to transform the abstract finite one to a permutation one. As an example, consider the following ...
9
votes
3answers
213 views

How to make a ReplaceAll Rule for adjacent items in a list?

I would like to make only one pass of a list of 2D items and replace adjacent items that have matching $x$ or $y$ coordinates with a series of linearly interpolated points between the two points. My ...
5
votes
3answers
181 views

How to change symbols in differential equation with a single rule?

Problem Suppose I have a differential equation such as $\qquad f'(x)+f(x)=0$ and I want to change it into $\qquad y'+y=0$ My Method Using rule = f[x] -> y,...
2
votes
1answer
93 views

How avoid error message with Range?

Evaluating Range[1, n] /. n -> 3 produces an error message ...