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

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4
votes
1answer
78 views

issue with `Nearest` with mixed type input

Bug introduced in 10.0.2 and fixed in 10.2 See if anyone else can reproduce this error: ...
2
votes
1answer
116 views

How to properly define this function of function

I encountered real problem at first, and here is the toy example variable argument stored some expression that is generated from other parts of the program. I ...
7
votes
4answers
232 views

Iteration of functions

I'm trying to define a function f, such that f[a_]:=a; f[f[a__]]:=f[a]; Then, I tried to evaluate f[x,y]. Since ...
1
vote
1answer
53 views

A bijection between a list of $n$ elements and the canonical basis of $\mathbb{R}^n$

I have some lists omega[i], i=0,1,...,15. And, e.g., omega[0] has four elements. I would like to define a function that maps omega[0][[i]] into $e_i$, where $e_1=\{1,0,0,0\}$, $e_2=\{0,1,0,0\}$... ...
5
votes
3answers
358 views

A simple list question

If I have list1={x^a, x^b, x^c} and list2={1,2,3}, how do I substitute one into the other to get ...
1
vote
0answers
63 views

DiracDelta of a function

If I have, for instance, FunctionExpand[DiracDelta[x^2+x-3]] it evaluates to ...
1
vote
1answer
92 views

How can I produce a function with maxima at given locations

At the first I ask a general question and after that I bring out the special problem. If we have some functions such as f1[x], f2[x], f3[x] and f4[x] and they have shared intersections points. Is ...
2
votes
1answer
53 views

Issue with plotting function

I can't seem to work out why nothing is showing when I try to plot h[t] in the example below: ...
1
vote
1answer
96 views

Extracting the 'critical point'

I have a discrete function (or list of ordered pairs) with respect to a discrete integer n, f[n]. In the format ...
0
votes
1answer
34 views

PermutationReplace does not seem to work when Combinatorica is open. Is there a function that is equivalent.?

I want a permutation to act on a set. For example: I want the permutation {2,1,3,5,4} to act on the set {2,3,4} by returning {1,3,5}. I need to do this in the same code that has functions that need ...
3
votes
3answers
123 views

Greater operator should give greater element

4>3 gives True. What is the "greater_operator" to obtain the result 4? For lists accordingly: ...
0
votes
1answer
67 views

Defining a function to use in another function dependent on similar parameters [closed]

I want to define a variable dependent function which can be used to define another function which depends on the same variable and other variables. For example, I have a system where I define ...
3
votes
2answers
72 views

FindRoot, How to Return Null After x Number of Iterations

I am using FindRoot to find the root of a function, say f(x), and going through a loop for different values of ...
0
votes
1answer
72 views

How to implement the for loop to replace text strings or texts?

I wonder define a bunch variables named like $X_1$, $X_2$, $...$, $X_n$. Is there some smart way to declare them instead of by pure typing. One trick I can image is to use the for loop,...
0
votes
0answers
56 views

Cannot assign one element of an multi-output function (a list of outputs) to a new function

My aim is to define two functions by writing only one time the actual definition. The first one gives me a matrix and the second one is one of the elements of the matrix. Moreover, as I want to ...
19
votes
1answer
377 views

DumpSave 10.2 style from 10.3

Szabolcs has asked WRI support about mx files, in particular: Can we expect that MX files written by Mathematica 10.0.0 will be readable by future point released such as 10.0.1 or 10.0.2? ...
6
votes
1answer
107 views

Relevant help page for: Sum`?

When I type Sum into Mathematica, it also offers Sum` in the autocomplete dropdown, but when I click the little menu button next ...
0
votes
1answer
172 views

Defining Function With Two Variables [closed]

I need to define some functions with more than one variable, but the examples only list one variable cases, so I tried this: f[x_, y_] = (y/x) + xy f[1, 2] ...
16
votes
1answer
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 ...
11
votes
2answers
246 views

Vertex descendants subgraph

Keywords: vertex, ancestors, descendants, subgraph, directed graph, flow subtree So let's say we have a TreeGraph: ...
6
votes
0answers
74 views

How to instruct MatrixLog to work with singular matrices?

How to instruct MatrixLog to work with singular matrices by ignoring the zero eigenvalues (thus only acting on a subspace orthogonal to the matrix kernel)? I'm ...
0
votes
1answer
44 views

How can evaluate this function [duplicate]

Suppose this function F[c_, n_, s_] := Module[{}, Abs[s - 1 + (-1 + c)^n]] I calculate its second derivative on c ...
1
vote
2answers
82 views

Composing multiple functions [closed]

I am trying to compose three functions in the following manner: Adx[z_] = (z[x + dx, t] + z[x, t])/2 Ddt[z_] = (z[x, t + dt] - z[x, t])/dt Ddt[Adx[z]] I get the ...
3
votes
1answer
134 views

Why `Chop` does not make the real part of machine complex numbers an exact zero? [duplicate]

The documentation says Chop does not make the real part of machine complex numbers an exact zero: In[2]:= Chop[10.^-12 + 2. I] Out[2]= 0. + 2. I Why does ...
12
votes
3answers
516 views

Map a function of several arguments

I have three lists, e.g. list1 = {{a,b,...}}; list2 = {{1,2},{3,4},...}; list3 = {{x,y},{z,w},...}; and a function ...
7
votes
2answers
124 views

Recursive function activity

We had the following question on an activity for our students: Let $f_0(x)=x+|x-100|-|x+100|$, and for $n\geq 1$, let $f_n(x)=|f_{n-1}(x)|-1$. For how many values of $x$ is $f_{100}(x)=0$? When I ...
2
votes
1answer
57 views

How does RootLocusPlot handle TransferFunctionModel

I'd like to analyze the poles (denominator-roots) of a TransferFunctionModel, that was generated from a ...
7
votes
3answers
191 views

Through does not work with Subtract

Through[(Max - Min)[#]] & @ {1, 2, 3, 4, 5} gives 5 + (-Min)[{1, 2, 3, 4, 5}] Of course I can work around by ...
2
votes
3answers
64 views

Having a function check a column and perform a task every time an entry satisfies a condition

So I have a matrix (technically a table) points = Table[{x, f[x]}, {x, Range[0, 2, .1]}]; Which gives something like this in matrixform \begin{array}{cc} ...
2
votes
1answer
72 views

Plot a function with respect to two parameters that are not explicitly function parameters

$$function = |\delta|\frac{I_1(\kappa)}{I_0(\kappa)}$$ where $I_0(\kappa)$ and $I_1(\kappa)$ are the modified bessel functions of the first kind of order $0$ and $1$ I want to plot the function in ...
2
votes
1answer
93 views

How to prevent a definition from overwriting my input

I developed the following manipulate code to be a limited knockoff of Polking's dfield. I export the code to Enterprise CDF so that one may type a first-order ODE into the input box and create a slope ...
1
vote
1answer
78 views

Defining function from table [closed]

I have a table of values of the form Table[{i1,j1}, {i2,j2}...] and I want to define a function like f[i] to take the values ...
5
votes
1answer
117 views

Newton's Method Converges in Mathematica for non-convergent functions

In mathematica I set f[x_] := Sign[x] Sqrt[Abs[x]] and then I solved it in a root finding for Newton's method by doing ...
6
votes
5answers
500 views

Defining indefinitely many functions

Is it possible to define a class of indefinitely many functions f1, f2, f3, ... such that ...
1
vote
2answers
54 views

Find function to relate two lists of values

I know Mathematica has the FindFit function to determine the parameters of a known function that fits a sequence of points, but what if you do not know the relationship (linear, log, quadratic, etc)? ...
2
votes
1answer
89 views

How does this code work to substract a set A from a set B?

In an answer to a question (as given here: code), the proposed function was to to subtract a set B from a Set A: ...
4
votes
2answers
229 views

How do Reap and Sow work in this context

I have a list of points in 3D and I need to count how many times each point is repeated. For a similar problem with a list of characters many different solutions have been proposed in this post: ...
2
votes
1answer
76 views

Issue plotting/re-creating 3d function

I am trying to re-create images created in Mathematica using the equations in the photos attached. I was able to somewhat plot the Equation 6 (Cartesian coordinates) Figure 4 using this code ...
0
votes
3answers
107 views

How to Change Vertex List in a Grid Graph

I would like to actually change the vertices in a grid graph instead of simply changing the label. Ultimately, I want the vertices to be points on a plane. So if given a simple grid graph ...
0
votes
1answer
47 views

Problem with Apply [duplicate]

I have am trying to obtain the average of the distance from the mean radius for each shot in a group of shots at a target. I am having problems with the very last line. The output of the last line ...
0
votes
2answers
178 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 ...
4
votes
0answers
93 views

Why does FromDigits transpose its argument (sometimes)?

a = {{1, 2}, {3, 4}, {5, 6}} ; FromDigits /@ Transpose@ a == FromDigits @ a (* True *) The only "strange" syntax I've found in the docs is But it doesn't ...
1
vote
0answers
59 views

Why can't I use OmegaPrime to find the Limit of Prime[n]? [duplicate]

I've looked at these links already; What are the limits of the Prime-functions? What is so special about Prime? which gave an answer for earlier versions of Mathematica. Yet when I try to input ...
2
votes
2answers
148 views

How to correctly scale the x axis?

I am not absolutely sure how to formulate my question but here is my first attempt: I have 25 rods with lengths in cm ...
1
vote
0answers
94 views

what is the means of (0 -> 1) of series expansion [closed]

I use mathematica 8 to take a taylor expansion.In the Output, the expression (0->1) appears in the second term and all higher order term, and this expression is multiplied with other coefficient and ...
7
votes
1answer
139 views

How would one return from a place of a pure function's body using Return?

From previous answers, replies and discussions it is known, while not formally documented (even in the most recent Wolfram Language Documentation Center), that Return can be used in a two-argument ...
1
vote
2answers
198 views

Restrict domain of a function?

I have a function f[x,y,...,z] and I want to restrict its range to positive numbers only, f > 0. ...
4
votes
3answers
179 views

Convert `FullForm` to XML Structure and back

How might I create a function that converts between FullForm and a XML structuce? Ultimately I'm ideally looking to use CSS and JS to edited the XML structure. ...
7
votes
1answer
145 views

What kind of creature is h[c] for definition h[c_][x_] := (* function of x and c *)

To implement "Hero's Method" for approximating $\sqrt{c}$, one iterates the function (x + c/x)/2 for a given number c (e.g., ...