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

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How to Write a code to automatically generate the planckian locus in (u,v) space

in the CIE XYZ color space the three coordinates defining an electromagnetic spectrum are given by XT=∫x( λ ) M( λ , T )dλ, YT=∫y( λ ) M( λ ,T ...
1
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1answer
31 views

How to call a function with an arbitrary list as its arguments inside a functional? [duplicate]

I have the following functional defined (i.e. a function of another function) where variableList contains the variable (arguments if you wish) of the ...
-1
votes
0answers
20 views

how to choose from M a point which will be the center of the circle, and in that circle must be a minimum of points [on hold]

C programming on a plane are given a set of points M. Choose from M a point which will be the center of the circle, and in that circle must be a minimum of points
4
votes
1answer
66 views

Argument attributes for pure functions

In his book, Leonid Shifrin says: One important limitation of the # - & notation for the pure functions is that it is ...
0
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1answer
35 views

Replace argument of delayed function before it evaluates [duplicate]

How should I use replace so that f[x_] := x^2 Replace[f[3], 3 -> 1] OUT = 9 evaluates to 1, instead of 9? This way, the replacement of the argument is done ...
0
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0answers
17 views

2 functions in a package for CDF, 1 is OK 2nd is not working

I am developing a CDF application to teach me how to create CDF files. In this application I am taking numeric and symbolic integral of a function. I create package with two functions; 1-taking the ...
1
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1answer
108 views

Conjugate[a/b + c/d]

Trying to obtain the result of Conjugate[a/b+c/d] only gives the same result. As such, I use Refine as: ...
0
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0answers
40 views

The function I defined is not giving any output [on hold]

Could anyone tell me why the function I have defined is not giving any output? When I run it, gen is not showing any output. Thanks! ...
0
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0answers
44 views

How to apply a function to a list, being able to use a list index inside of the function? [closed]

In the documentaion I find things like: M = {a, b, c}; kappa[x_, y_, z_] := x PauliMatrix[1] + y PauliMatrix[2] + z PauliMatrix[3] kappa @@ M // MatrixForm But ...
1
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0answers
37 views

finding list by expresion [on hold]

Well Im new to mathematica. I have list of x which contain {1,23,45,6,43}. And I get expression from g = Fit[t, {1, v, v^2}, v] how can apply list x to g to ...
4
votes
1answer
115 views

What is wrong with my code so it neither produces a correct plot nor an error message?

I am trying to define some initial functions and then using them to define my secondary functions and then plot the secondary functions. I am supposed to get two curves with a finite width ...
3
votes
2answers
120 views
2
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1answer
54 views

How to plot a function whose constant parameters have associated uncertainties in Mathematica 8.0?

Let's assume I want to plot the function $f(x)=a + bx+ cx^{2}$, where experimentally known values of parameters $a, b$ and, $c$ are as follows: $a=1.01 \pm 0.18$ $b=0.92 \pm 0.11$ $c=2.2 \pm 0.2$ ...
3
votes
3answers
195 views

How to get exact coordinate of a point from a plot?

I am using BodePlot[] to plot the magnitude and phase of a function as below. BodePlot[1000/((1 + s/10^3)*(1 + s/10^6))] ...
0
votes
0answers
24 views

Compiled function giving error CompiledFunction::cfct [closed]

I'm trying to compile this function LocalPotential below: ...
0
votes
1answer
48 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
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2answers
40 views

FourierSeries command , for arbitrary period T?

ExptoTrig[FourierSeries[Piecewise[{{-Pi,-2Pi<x<=0},{Pi,0<x<=2Pi}}],x,3]] You can see, the function goes from $(-2\pi,2\pi]$ But Wolfram Alpha gives a ...
2
votes
1answer
60 views

Can I create a mouseover summary or documentation for a new function?

In Mathematica, when you hover any a built-in function, a small window with 2 symbols appears (as in the third paragraph of this reference page, see picture): clicking on the former one gives you a ...
4
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1answer
80 views

Trying to create an interactive plot (newbie here)

I'm new at Mathematica so please bear with me. I am trying to create an interactive plot that will end up looking like this: I want to input values for certain variables and then plot a curve. This ...
1
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1answer
51 views

Defining functions as derivatives

I'm working on a model that requires a sum over a function that uses various coefficients. In order to make the sum easier to perform, I am trying to keep things general through the use of a ...
3
votes
1answer
136 views

Defining a matrix with elements acting as operators

This question is directly related with my previous one. I'll try to be more specific here. I have a matrix {{a[x],b},{c,d}}, where ...
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votes
1answer
52 views

What is this function aimed to do?

Table[Sum[tmatrix[[i, j]], {i, 1, 2}], {j, 1, 2}] apparently creates some sort of a table, and it evidently works on a matrix....although it is hard for me to understand what should it do beyond ...
-1
votes
1answer
60 views

Scan over regions of parameters

I have a function f which takes three arguments x, y and z: ...
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0answers
42 views

Is there any point to using a variable as a function parameter?

Normally one only sees patterns as function parameters: fun1[x_]:=x^2 Is there any point to using a variable in a function definition: ...
0
votes
2answers
63 views

Interpolation of a vector [closed]

How can we use a sample data for interpolation of a function within a domain. But I need all interpolated values at once in a vector format. For instance, below I create a range of values for ...
1
vote
2answers
106 views

Function does not execute commands and fails to evaluate [closed]

The code I am trying to execute: hh[x_, y_] := x + y; hh[{3, 4}] The expected output: 7 However, on output I get ...
3
votes
2answers
128 views

UI characteristic function [closed]

I have three given points: $\qquad $A$\qquad $(0; 5.9) $\qquad $B$\qquad $(18; 5.56) $\qquad $C$\qquad $(22.32; 0) I don't know how I can create a function like the one in the image below with ...
0
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1answer
49 views

How to create a function that can be evaluated for specific values [closed]

I have been trying to create a function to compute a field and perform operations with it, however when I try to define it I have used: ...
7
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1answer
104 views

Generalizing LongestCommonSequence to 3 or more arguments?

The function LongestCommonSequence finds a longest common subsequence between 2 lists. Apparently, this built-in function does not accept more than 2 arguments. How ...
0
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1answer
36 views

Selecting terms on only one variable from a multiple-variable expression

Say I have a polynomial like $x y^2+15x^2 y+x+3y+10$ and I want to obtain, say, only the coefficient in $x$ alone, namely a 1. Using ...
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0answers
23 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 ...
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1answer
38 views

Extra restrictions in best response functions using Manipulate[ ]?

I have two best response functions that I have defined like this: ...
0
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1answer
31 views

Parameterize Subset of Complicated Zero Set

I recently asked this question: Evaluating Functions on Zero Sets (of other functions), and got fantastic assistance, but realized that there seems to be an extra issue when you're trying to ...
3
votes
2answers
103 views

Evaluating Functions on Zero Sets (of other functions)

I have a highly non-trivial function, call it $f(x,y)$, in which I want to look at its zero set in the $(x,y)$ plane, and plot/evaluate a different function $g$ precisely along this zero set. I have ...
3
votes
2answers
115 views

Replacing multiplication of matrix elements by application of these elements as functions

I want to realize the following idea in Mathematica. I've got a matrix {{a,b},{c,d}} which is multiplied to a vector {h,k} ...
0
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0answers
32 views

ApartSquareFree function

I have a doubt concerning the ApartSquareFree function in Mathematica. Roughly speaking, it is supposed to compute the partial fraction decomposition of a rational function $h/g$ with the denominators ...
1
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0answers
35 views

Which the functions of parameters can use Span [closed]

As I know,ImageValue,PixelValue,ReplaceImageValue,...
8
votes
1answer
110 views

What is ExpectationE and what does it do?

I just found the symbol ExpectationE with autocomplete. Rendered the symbol is Searching the documentation and the internet leads to nothing. Does somebody ...
3
votes
1answer
67 views

Extended AutoCorrelation Function

Is there a function in Mathematica capable of computing the sample Extended AutoCorrelation Function (EACF)? I know that there's a package in R that does this. I was trying to avoid to having to ...
2
votes
1answer
64 views

ListPlot of auto-correlation function pushes data 1 lag

I'm trying to plot a graph of a sample autocorrelation function at different lags. The code I'm using is ...
1
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0answers
36 views

Getting a list of function definition parameter values [closed]

If I define a function over certain values: f[0] = 1 f[1] = 2 f[2] = 3 How do I get the list of parameter values that it's been defined on? ...
-1
votes
1answer
66 views

Plotting a function of another function

Edit: So I have several functions which come from other functions. For example: ...
1
vote
2answers
57 views

Selecting points in list that are inside a contour [duplicate]

I have a list of points which form a closed (connected) contour or path in two dimensions. I would like to get all points from a second list which satisfy the requirement that they are inside the ...
-1
votes
1answer
84 views

How can i 2d-plot Cobb-Douglas function?

can I plot Cobb-Douglas function in 2D without using ContourPlot? I have this function: u[x1_, x2_] := Log[x1] + 2*Log[x2]; and now I plot it using: ...
0
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0answers
69 views

Plotting function described by other functions!

I want to plot and manipulate my VS function which comes from the other functions above it. So, what should I use in order to draw my function considering that it is described by other functions. I ...
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4answers
136 views

Implicitly inverting a function from numerical solution [closed]

I have the following piecewise continuous function: ...
10
votes
1answer
114 views

Definition of Mod and Quotient with complex arguments

How are Mod and Quotient defined for three real/complex arguments? I wasn't able to find the definition. My main surprise so ...
1
vote
0answers
54 views

How to avoid tranfer the array as a parameter [closed]

I have following array: data = {x^2, 2*x^2, x^3}; And I must send it to the following function: ...
3
votes
1answer
70 views

Pareto optimal fronts using internal function?

Reading this question: How do I estimate the Pareto front in my multiobjective optimization problem? I found @Daniel Lichtbau's interesting answer. Yet I don't know how such an "internal function" ...
1
vote
1answer
108 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: ...