# Tagged Questions

Questions about the use of built-in Mathematica functions, including pure functions.

106 views

### Evaluate pure function through round brackets

In have some matrices of pure functions or numbers which I multiply by other matrices or vectors. I would like the functions to be evaluated in the result, but all that I get is something like this: ...
95 views

### Evaluating standard functions of general quaternions symbolically

Mathematica can easily compute exponentials and logarithms of concrete quaternions: ...
26 views

### PolynomialExtendedGCD in 2 variables

Consider a field $R$ and the ring $A=R[y]$. Consider two polynomials $g,h\in A[x]$. I want to obtain $d=\gcd(g,h)\in A[x]$ and two polynomials $s,t\in A[x]$ satisfying the Bézout relation: $sg+th=d$. ...
56 views

### Is it better to completely forget about the existence of PowersRepresentations?

I noticed that in several cases the performance of PowersRepresentations is hugely worse than that of IntegerPartitions. (Mma ...
68 views

### Accuracy of PrimeQ function

Using PrimeQ in Mathematica 10 on integers up to $2\cdot 10^{5717}$ the function appears to work. The Documentation for Mathematica 5 says that ...
103 views

### Is there an internal logic behind short form symbols, such as @ (Prefix), @@ (Apply), /@ (Map), /. (ReplaceAll) [closed]

To me, function names (such as Apply and Map) seem more intuitive than their symbols (e.g. ...
25 views

### Is there a way to save the output from integrate as a function? [closed]

Is there a way I can save the result of my integration as a function? I would like to be able to assign the result of this integration to a function which accepts ...
57 views

### Substituting within a function definition that includes Simplify

I would like to define a function like myfunc[f_] := Simplify[(f/g)] where g will be substituted/replaced with the current value of g at the time of definition. ...
66 views

### Checking if input is a function

I would like to write a program to find the leading coefficient of a given polynomial. (Sounds easy, right?) I'd like to be able to handle the format x^2-x+7 (with ...
173 views

### Return a sentence with numerical values

I have the following function: example[a_, b_] := Module[{c}, c = a + b; Return["The solution is c"] ] I would like to know how to return that ...
44 views

### What function superseded SpaceForm?

In older versions of Mathematica you could use SpaceForm to leave a certain amount of spaces when writing to a file. For example, if we have the following data: ...
168 views

### Core functions or operations that every aspiring Mathematica programmer should know? [duplicate]

I am aware that there are common yet very powerful operations like Map, Thread, Apply, ...
53 views

### Transform a variable's exponent from an exact rational to an inexact decimal

here is a little problem I could not find a solution for. I have a variable with an exponent represented as a fraction, for example, var = a^(39/106) Now I ...
131 views

### Check an inequality if one condition holds

A = Abs[-1 + 1/(1 + β)] + Abs[-((1 + 2 α + Sqrt[1 + 4 α + 4 α β])/(2 α + 2 α β))] Is A <1 if ...
307 views

### What does empty {} mean in Module? [duplicate]

I have a question. I would like to know what an empty list ({}) means when used in Module[] as the code below shows? Why has a ...
360 views

### GeoGraphics: problem with GeoPosition in shifted projections

Bug introduced in 10.0.0 and persisting through 10.4.1 A remark about the answer: My work around is only nice for simple cases with points. More general should include proper polygons splitting on ...
89 views

### n fold convolution of a function via a recursion function

I wanted to write a recursion function to calculate the n-th convolution of a function f[x_]. I wrote the function ...
52 views

### Partial derivative of function of two variables

This question is not enlightening nor is it difficult. But some part of my notation or how I have defined my functions is messing up the D[f,x] function. ...
108 views

### Possible Bug in LinearSolveFunction with Sparse Vectors

Bug introduced in 5.0 and persists through 10.4.1 LinearSolveFunction is new in 5.0 Consider the following set of equations and corresponding variables: ...
27 views

### Mathematica Empty Plot FourierSinSeries function

I'm trying to get a plot of different order Fourier series of the function x-1, why does Mathematica give me an empty plot? ...
343 views

### What has changed in the Template system in 10.3?

Bug introduced in 10.3 and persisting through 10.4.1 There are couple of issues that are breaking my code after upgrading to 10.3. I wasn't able to narrow all of them down but this is what I've ...
67 views

### Calling results of applying f to expr inside NestList

Being new to Mathematica, I try to follow the suggestions of using NestList, Map, Table ...
40 views

### Better alternative to Hold/ReleaseHold for postfix application of Monitor

Trying to Monitor a process using the postfix notation, as in Table[Pause[n/10], {n, 5}] // Monitor[#, n] & fails: the ...
67 views

### Custom operator form for system functions?

There are some functions for which an operator form would make sense but isn't implemented. For example, I'd like to make this work: RandomSample[3] @ Range[10] ...
239 views

### Results in terms of a function

Let's assume I have a function $f(x)=\exp(10x^2)$, i.e. f[x_]:= Exp[10*x^2]. When I differentiate $f$ by evaluating the expression ...
64 views

### Plotting 3-dimensional graphs [duplicate]

I just started Calculus 3 and I thought it would be useful to see images of functions to get used to the transition of visualizing in 3-dimensions. I was wondering how one would go about plotting a ...
469 views

### Problem with FindRoot applied to functions

I am having difficulty with the error "is not a list of numbers with dimensions..." when using FindRoot (and other numerical routines in Mathematica) to solve equations numerically when the argument ...
57 views

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### Get envelope of a set of functions?

I'm new with mathematica and I'm trying to solve a problem. I have a set of functions in the same variable. Let's say the domain is [0,2]. I would like to get an ordered list of the functions ...
52 views

### Undocumented “Output” alignment argument to “Column?”

In this SE question, Inheriting Stylesheets when using CreateDocument, I noticed the literal string argument "Output" to Column. ...
90 views

### Impose a boundary condition to a function

Background I am trying to impose a boundary condition on a function of two variables $u(x_1,x_2)$. The boundary condition is: $u(x_1,0)=A\cos(\omega x_1)$. The same function in mathematica ...
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### Graphing/Plotting multivariate profit function with inequalities

I have the following profit function which I would like to 3Dplot in Mathemathica: Profit = (8c^2-16c*s-10c-4s-3)/(32s+16) , where ...
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### How to calculate a continuous function once and access values later?

I have a function that involves a numerical calculation: h[v_]:=NIntegrate[f[x]*Log[p[x, v]], {x, -Infinity, Infinity}] I need to visualize how well a bunch of ...
68 views

### Calculate Cumulative Mean and Standard Deviation of a list without FOR loops [duplicate]

I have a simple list mylist={x_1,x_2,...,x_N};. Now I want to map a function over this list, e.g. the Mean and StandardDeviation functions, so that it will give me ...
142 views

### Creating a function takes a list and dynamically modifies that list [duplicate]

I'm trying to create a function that uses a dynamic locatorpane to populate a list with the coordinates of user defined locators (added by alt+clicking). This code works fine: ...
71 views

### Write complex number in terms of absolute value and phase

I have a long vector and some of the values (19 out of 64) are complex. I got them using the Mathematica Rationalize function, so the complex ones are written in the a+bi form. Is there a function I ...
109 views

### How do I get Series[] as a functional, rather than as an expression (i.e. to avoid the dummy variable)?

How can I write an equivalent to Series that doesn't require a dummy variable? Note that the series should be constructed before the evaluation point is supplied, ...
31 views

### Performance of Apart with complex numbers

Consider the following code ...
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### What is the difference between GenerateDocument and TemplateApply[NotebookTemplate[

Bug introduced in V10.0 and persisting through V10.4 Since V10.3 the bug still remains but additionally the Genarate and ...
10 views

### How to connect two tilted lines with a sigmoid curve? [migrated]

Any idea how to connect two tilted lines with a sigmoid curve? The ultimate goal is to get a baseline that is composed of two separate tilted lines ( with known start and end points) with a sigmoid ...
53 views

### break down the function

I am using Series function, but I found that it cost too much time. Since the Series function is Taylor expansion and I only need first order, I want to break down the code, so I can make it faster ...
50 views

### Why my Function Has no Output Plot?

Below is my commands on a mathematica script to plot a function. In order to see why the function has issue to be plotted, I have tried to plot the intermediate functions one-by-one. It seems that my ...
75 views

### How to pass a pair of values to Table function?

I define a function like this: ϕ[t_,ϕ0_,ϕ1_]:=ϕ0+ϕ1/ArcSin[0.97] ArcSin[0.97 Sin[2Pi f(t-0.25/f)]]/.f->30 which generate:  \phi (t)=0.754586 \times ...
61 views

### How to extract all necessarily code for a function?

Many times when someone pastes a piece of code into SE there are missing values and symbols that the user left out. To prevent this I'm looking for a function that uproots other functions (extract ...
42 views

### Is there any way to see a kernel function's code? [closed]

I was using the extremely useful function PrintDefinitions from the GeneralUtilities package and I encountered this: ...
68 views

### Why is the square of a differential operator not evaluated automatically?

I defined an operator: py[f_[x, y]] := (I*h*D[f[x, y], y] - x) // Expand (not important, but it represents a simplified component of a quantum momentum in a ...
69 views

### Omit argument specification in function [duplicate]

If a function has e.g. 5 input arguments (a,b,c,d,e), how can I omit to specify only argument c, so that its default value is taken, but the other arguments should be passed to the function? E.g: ...
77 views

### Excel lookup function? [duplicate]

I have two lists, one for the length of words and another list for the corresponding bonus points. ...