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

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3
votes
2answers
79 views

How to Nest a Function with three Arguments?

I have two functions with three arguments $f_x(a,b,t)$ and $f_y(a,b,t)$. And i need a nesting like this ...
5
votes
4answers
477 views

Use Mathematica to calculate the area enclosed between two curves

use mathematica Hence, calculate the exact area enclosed by these curves using Mathematica. $f(x)=x^3$ and $g(x)=x^5 - 2 x^3 - 3 x$ i have got the graph...now I'm stuck with finding the area
-4
votes
1answer
48 views

Finding minimum value of an integrated function over an interval [on hold]

I am novice user of Mathematica and I am stuck with this question. I have to find the minimum value for this expression. where x[1,3]. I figure that to find the minimum I just need to ...
10
votes
4answers
423 views

Set of integers not divisible by smaller set of primes

Let $p_n$ be the sequence of prime numbers, and $s(x,n)=$ the set of integers less or equal than $x$ that are not divisible by $p_1,\dots,p_n.$ I can define it as follows: ...
-2
votes
0answers
33 views

“There are no symbols matching \”\!\(\“Global`*\”\)\“” [on hold]

"There are no symbols matching \"!(\"Global`*\")\"" what's the probleme with this error and how to solve it?
1
vote
1answer
72 views
0
votes
0answers
76 views

Simulation of Circular plate vibrations

I'm trying to simulate the vibration of a circular plate with a free edge. The plate wave equation describes the vertical displacement of the middle surface of the plate $(\zeta)$ as a function of ...
0
votes
0answers
77 views

plot $f(x)$ against $\frac{1}{x}$ [closed]

Hi guys this is really a simple question: if i have $f(x)$ how do i plot this function in mathematica against, for example, $\frac{1}{x}$? thanks in advance
7
votes
5answers
302 views

What is my problem with MeshFunction?

I want plot the max value in a sine plot. We can use the following code ...
0
votes
0answers
40 views

Simplifying Products In Mathematica [closed]

I have, amoungst many others, the function: Kbox[n_, r_] = ((n - r)*r)!/ Product[Product[(r - i + 1) + (n - r - j + 1) - 1, {i, 1, r}], {j, 1, n - r}] ...
4
votes
4answers
216 views

implement the ZOH in mathematica [closed]

well I'm trying to implement the ZOH in Mathematica, but I can't. Take a look, this is my script: ...
1
vote
1answer
87 views

Horizontally compress a picture with varying compression ratio [closed]

I have a function c[x] whose domain and range are both [0,1]. And I have a picture with width W, height ...
1
vote
2answers
54 views

How to use the output we see of expression when this expression is inside Dynamic

Consider this example: Manipulate[status = Dynamic[If[a < b, Yes, No]], {a, 2}, {b, 5}] The output of this calculation is ...
2
votes
3answers
207 views

How can I get the function of a plotted trajectory? [closed]

I solved two ODEs, which are a function of t, numerically. The first ODE is the vertical equation of motion and the second one is the horizontal equation of that ...
1
vote
1answer
73 views

Attaching functions to movable locators

I'm trying to create a manipulate plot showing the electric field due to a collection of point charges. At the moment I've created such a plot which allows the x and y positions of each charge to be ...
10
votes
2answers
207 views

Why isn't Lookup treated like other symbols?

With Mathematica 10, I wanted to overload Lookup using TagSetDelayed, but it doesn't work. For instance, if I define two objects ...
5
votes
3answers
217 views

Solving $L=\frac{3}{2} \sqrt{4 \pi ^2 A^2+W^2}-\frac{\sqrt{5 W \sqrt{4 \pi ^2 A^2+W^2}+6 \pi ^2 A^2+3 W^2}}{\sqrt{2}}+\frac{3 W}{2}$ for $W$

When I solve the aforementioned equation for $W$ or $A$ on Mathematica I get a long and ugly equation in return, namely one of the solutions for $W$ is: (attempt to read at your own health) ...
6
votes
1answer
92 views

How to sort the functions in a Package?

Once a Package like abc` has been installed, we can use "?abc`*" to scan all the functions defined in this Package. Now I ...
1
vote
2answers
71 views

How to define logical expressions for platonic solids?

A more general question would be: How to find logical expressions for 3D-objects described by closed polygon sets? Finally a simple question is more prolific, therefore: How to define logical ...
2
votes
1answer
109 views

RegionPlot3D run forever when plotting 3D ParametricRegion

when working with 2D, RegionPlot works fine with ParametricRegion as can be seen in this example: ...
3
votes
5answers
239 views

How to add periodicity to condition?

Is it possible to set the following function f[a], where a can be any real number? $$ f(\alpha) = \begin{cases} 1 ...
0
votes
0answers
24 views

How to prevent function from substituting the part of the parameter name if it has a subscript? [duplicate]

I have the following problem, when defining and using a function, that's supposed to have an outside parameter xmin: A[x_] := Exp[-x/Subscript[x, min]] A[5] ...
2
votes
1answer
166 views

Finding average error of the data

Considering I have some data, and I want to fit the data to a linear fit and find the average error from the linear fit, how can I do that using Mathematica? I have ...
-2
votes
1answer
43 views

Compile Determinant [closed]

I would like to determine the determinant of a 4x4 matrix with the entries a[i,j] being functions of $i$ and $j$. I used Compile with code: ...
5
votes
1answer
175 views

How can I make a “self-referential” replacement operation self-contained?

Fairly often I find use for replacement rules that call themselves on the right-hand side of the rule, e.g.: ...
1
vote
0answers
62 views

How do I choose only one branch of ArcTan?

I have a problem concerning ArcTan drawing a graph using ListPlot. I import a table of data: ...
2
votes
0answers
31 views

Evaluating standard functions of general quaternions symbolically

Mathematica can easily compute exponentials and logarithms of concrete quaternions: ...
2
votes
1answer
94 views

How to explain the behavior of Rule inside these functions [duplicate]

I'm trying to define a function that takes an expression and spits out a pure function involving a replacement rule of that function's variable. An example would be a function ...
0
votes
0answers
24 views

Use FindRoot solution as number in function [duplicate]

I would like to save a number that I gain with FindRoot so that I can use it in another function. I tried: ...
0
votes
0answers
9 views

on characterization of a riesz homomorphism on C(X) spase [migrated]

what is proof that:Let K be an arbitrary topological space and π : C(K) −→ R be a map with π(1) = 1. if π is a algebra homomorphism then it is an Riesz homomorphism.
1
vote
1answer
54 views

Remove curly brackets _completely_ to map a function to the elements of a list [duplicate]

Most list manipulations can be done with Flatten, Partition and Take. I didn't managed to ...
4
votes
1answer
99 views

Measuring time complexity of a method

I use ...
-1
votes
1answer
70 views

Find minimum function value in data and give coordinates of minimum

I create with Table an array containing the function value of some function and the n1and ...
0
votes
0answers
13 views

how to get Gamma function in Mathematica using Matlab [migrated]

In Mathematica, Gamma[a, z] refers to the upper incomplete Gamma function whereas in MATLAB, gammainc(z, a) refers to the regularized lower incomplete Gamma function. I want to know how can obtain the ...
1
vote
1answer
117 views

Finding the minimum of a function

I asked this question Mark Minimum Value in DensityPlot. Another question has come up, or better said, a task: Find the minimum of a function. I haven't been able to write the needed code for that, ...
0
votes
0answers
12 views

For nonempty sets A and B and functions f: A-> B and g: B-> A, suppose that g of f = i_A. Prove that if f is onto, then g is one-to-one [migrated]

Here is what I started, I don't think it's correct. Suppose f is onto, so then there exists an element b in B s.t. for all a that is an element of A, f(a)=b. (definition of onto). Let y,z be any ...
2
votes
1answer
56 views

How to create a numerically “equal” function?

A simple example about what I need to do. For example, I have three functions: t1[x,t] t2[x,t] t3[x,t] and, ...
2
votes
0answers
41 views

Maximizing Large Multivariable Function over Region with Parameter Constraints

Brand new Mathematica user here. I have a complicated function to maximize, and thought I would try software like Mathematica instead of taking derivatives by hand. I found some Mathematica ...
0
votes
2answers
216 views

$RecursionLimit::reclim: Recursion problem

Please, find bellow my original question. Here is all my code: ...
6
votes
3answers
287 views

Does Mathematica have Month Range and Day range?

It is known that CharacterRange["a", "z"] gives list of characters from a to z. Does Mathematica have something similar for weekdays and months of the year? ...
0
votes
1answer
60 views

Problem with Maximize

As $\{p1,p2,p3,p4,p5\}$ represents a probability distribution and $l1,l2$ are the eigenvalues of a stochastic matrix, the function $f$, as defined below, has to be maximized over a certain region. ...
2
votes
3answers
80 views

Problem with InverseFunction of Sqrt

I want to build a table of InverseFunctions, f.e.: ...
4
votes
3answers
196 views

Is it possible to specify which range that slot takes from?

consider this example: ...
3
votes
1answer
177 views

Circular membrane vibration simulation

I'm new in Mathematica and I'm trying to simulate the vibration of a circular membrane for math project but I don't even know how to start. The wave equation describes the displacement of the ...
4
votes
4answers
254 views

How can I get the number of slots in Function?

Suppose that I define f = Function[#1 + #2]; And I want to define a new function, argsNum, so that it returns a number of ...
0
votes
1answer
28 views

Why would this function work only when I make a copy of the variable? [duplicate]

Why would this function work with a copy of the function variable: ...
21
votes
2answers
434 views

Why is Query so much slower than Part?

Time for another of these(1),(2) as yet another new-in-10 function appears to have poor performance compared to older alternatives. This time: Query appears to be ...
2
votes
1answer
82 views

How to generate specific function using BSpline command/

I want to generate an approximation function that fits a curve to points. My goal is to obtain an actual formula. Is this possible with the BSpline function? Using the following code: ...
1
vote
1answer
102 views

Solving a trigonometric equation with one parameter

I have the following equation: 2 a^2 k^2 Sin[b k] - 6 a (k Cos[b k] - Sin[b k]/b) == 0 I set the value of b to 1, and I want ...
10
votes
5answers
291 views

How to prevent function from passing values to slot

For the following example: {#, #} & /@ {1, 2} I am trying to find a method to hold one of the slots (or both ) so that the function do not pass the values to ...