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

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1
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2answers
78 views

how do I control the output of Reduce function?

Reduce[x*y > 50 && x*y < 100 && x < 100 && x > 1 && y > 1 && y < 50, {x, y}, Integers] what if I want ...
0
votes
0answers
39 views
1
vote
1answer
56 views
0
votes
1answer
164 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 ...
-4
votes
1answer
66 views

Apply If function to FoldList [on hold]

I have defined the following function: cpdz[c0_, m_,s_, r_, t_, n_] := If[c0 > 0, c0*(m*c0\s - (m - 1)*Exp[r*t/n]), c0*Exp[r*t/n]] for s I have a set of ...
112
votes
13answers
6k views

What are some useful, undocumented Mathematica functions?

There have already been some questions about some undocumented functionality in Mathematica. Such as (please add to these lists!) How can one find undocumented options or option values in ...
1
vote
1answer
68 views

Generating a very large list of integers not divisible by a set of primes

I have read (58520), but the solutions there do not work when using a large maximum value because they rely on Range. For example, ...
0
votes
1answer
27 views

Using set of lists in if function? [on hold]

I have the following function: a3[m_, C_, St_, Stt_] := If[C > 0, (m*C)/St*Stt, 0] now my input for C, St and Stt are different set of lists. So I tried to ...
-6
votes
0answers
40 views

how to define a function as variable in mathematica [on hold]

how to define a function as variable in mathematica. please refer to attach picture. thanks.
0
votes
1answer
85 views

Intercept in the ARProcess

In the ARProcess help file I don't understand whether an intercept is included or not. How would I add one? I am using version 9 of Mathematica.
1
vote
1answer
69 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? ...
0
votes
1answer
49 views

why does this function fail to return? [closed]

I have written 2 functions to calculate the stress and strain of a material, the strain function works perfectly, but the stress function which very similar to the Strain function did not return what ...
2
votes
2answers
94 views

Recursion: How can i program this expression?

i have the following expression: Vt[EA_, V0_, Cm_, B_] := EA + (V0 - Cm)*B For EA and Cm ...
28
votes
3answers
426 views

How to create a dynamic expanding DisplayForm's styled like the ones in v10?

The display forms for objects like ClassifierFunction are nice clickable boxes I like this, and now I'm trying to create my a custom version of this for my ...
0
votes
1answer
82 views

Mapping a simple 2 variable function

Quick Question: What is the best way to map this function so it performs seperately for 102 different values of x? ...
1
vote
1answer
42 views

Show function seems to be broken [closed]

I read the thread How to make the Show function work in this case?. I think I have the same problem as discussed there. But when I try the to evaluate ...
1
vote
0answers
35 views

Can you define “| |” to be the same as “Abs[ ]”? [duplicate]

When calculating the modulus of a complex number in Mathematica, the standard (and probably least-ugly) way of doing it is by using the Abs[ ] function. When doing ...
0
votes
1answer
45 views

Generating sound according to a mathematical function [closed]

I would like to get sound clips that essentially are frequencies varying according to certain recognizable math functions like sin, tan, floor, absolute value etc. Please help. Thanks
47
votes
3answers
640 views

What bug fixes can be implemented in init.m?

In comments on this question, Mr. Wizard suggested a community wiki to share the bug fixes/workarounds (or possibly other tricks) people load in their init.m. I ...
7
votes
6answers
3k views

Series expansion in terms of Hermite polynomials

I am trying to expand a polynomial in terms of orthogonal polynomials (in my case, Hermite). Maple has a nice built-in function for this, ChangeBasis. Is there a ...
1
vote
1answer
32 views

Map a list of functions to a number [duplicate]

Suppose I have a list of functions like: listfun = { Sin, Cos, Tan } And suppose I want to map listfun to a single number <...
0
votes
1answer
82 views

Getting errors from NIntegrate when I try to plot my function

I am trying to 3D plot the function ϕ[σ, λ], but Mathematica keeps refusing to plot for the reason that the output involves complex numbers, even though by ...
1
vote
2answers
159 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, ...
20
votes
4answers
12k views

Finding Limits in several variables

Is there a way to find a limit of a multivariable function, like $$\lim_{(x,y)\to (0,0)} f(x,y)$$ with Mathematica? When $f$ is continuous, we can use $$\lim_{(x,y)\to (0,0)} f(x,y)=\lim_{(x,0)\...
5
votes
2answers
256 views

Symbolically Expanding One-Variable $q$-hypergeometric Series

In general, how do I get Mathematica to symbolically expand various infinite series to an arbitrary degree of accuracy? I deal with $q$-hypergeometric series quite frequently, and specifically want ...
0
votes
0answers
4 views

How to find x on this exponential function [migrated]

I'm not in math, but I really want to know how to solve this: 1,08^x = 100/55 I'm not able to factoring 100/55 to get the result. Can anybody say me how's the ...
3
votes
2answers
332 views

Maximum brightness of two gray scale images

I am using the answer of bill s in Greater operator should give greater element. Here he showed the example: ...
5
votes
4answers
202 views

Greater operator should give greater element [duplicate]

4>3 gives True. What is the "greater_operator" to obtain the result 4? For lists accordingly: ...
2
votes
1answer
41 views

Define return values for a function that is not of type Boolean

I have a function with more than two possible return values. A simplified example is the following function that classifies vertices of a graph according to their degrees: ...
0
votes
1answer
62 views

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 ...
2
votes
1answer
147 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 BSplineFunction? Using the ...
9
votes
2answers
298 views

Remove versus ClearAll

What is the difference between Remove and ClearAll? I thought that "not being recognized by Mathematica", which is the effect ...
2
votes
2answers
80 views

How to use NestWhileList with a function of two variables

I want to iterate a function of two variables in NestWhileList. Obviously it will need a termination condition. For example imagine I have this function: ...
2
votes
1answer
44 views

Help Compiling Vectors using Iterations

So I have a nice code that runs properly, which I include below but, in my naiveté, I'm having issues iterating my procedure. Simply put, I have a function of two real variables $f(x,y)$ and I want ...
1
vote
1answer
81 views

Weird SeriesData behavior?

I was trying to calculate the determinant of a matrix whose elements are truncated series. As a result I obtained an expression like this: ...
-1
votes
0answers
35 views

How to find vertice by two angles and side? [migrated]

I know 'alpha', 'betta', length 'c', vertices: 'A' and 'B' How can i find the 'C'?
19
votes
5answers
369 views

Distributing function arguments with function compositions. How to compute $(f + g^2)(x) = f(x) + g(x)^2$?

Suppose I have two functions f and g. To compute $f + g$ evaluated at a point $x$, I know that one can use ...
2
votes
2answers
97 views

Union sorting after ignoring some digits

I have a list with its bellow elements: {-0.7071067811865476, -0.7071067811865475, 0.7071067811865475, 0.7071067811865476} If I use ...
1
vote
1answer
121 views

How to 3D-plot with specific ranges?

I have the following function which I want to plot using Plot3D: (-1 + w + 3 s w)/(2 (-1 + w + 4 s w)) , which is only ...
13
votes
5answers
11k views

Calling Correct Function for Plotting DiracDelta

I am wondering what is the correct function in Mathematica to plot the true impulse function, better known as the DiracDelta[] function. When using this inside of a ...
24
votes
1answer
614 views

Is the renaming mechanism of `With` flawed?

I'm confused about the renaming mechanism of With: ...
5
votes
1answer
114 views

The implementation of FunctionRange

How exactly does the FunctionRange work? What kind of algorithm does it use? I looked it up in the manual but it doesn't provide any references or even a name of ...
6
votes
3answers
149 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: <...
1
vote
2answers
53 views

Passing each element of a list as an argument to a single parameter function [closed]

Consider a single parameter function: g[w_] := w^2 +1; Consider a list: slist= Range[0, 100, 1]; Now when I apply function ...
0
votes
1answer
36 views

Defining a variable inside a function to reference it in the function

I am trying to define a variable and use it inside a function. However, I am having troubles calling the variable. For instance, I define the function ...
0
votes
0answers
66 views

Watched a Livestream with Christopher Wolfram, he used an operator that I can't find [duplicate]

I understand /., /@, /; and documentation exists in the normal way for all of those but I can find nothing on /*
3
votes
1answer
248 views

Reduce a complex inequality

Reduce[Abs[1/(1 + I/Sqrt[α])] < 0.5, {α}] It is taking long time to run. Can any one help me to get the reduced condition in terms of $\alpha$ or its modulus. ...
0
votes
1answer
62 views

Why is FindRoot failing to evaluate this function? [closed]

I have a (somewhat long) script which runs cleanly until the very last stage. Here, I'm using FindRoot to attempt to parameterize implicit curves in the zero set ...