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

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0
votes
0answers
22 views

Protected Tags Error [duplicate]

While trying to run this piece of code: ...
2
votes
0answers
74 views

Problem with plotting a function that calls FindRoot [closed]

I am having difficulties in plotting the solution of FindRoot to solve 4 variables. I defined a function and then tried tp plot it, but got an error message ...
2
votes
0answers
64 views

Covariance matrix estimation when number of variables is larger than number of observations

It is well known that the sample covariance matrix estimator results in a singular matrix if the variables is larger than the number of observations. One solution is to apply shrinkage estimators. ...
3
votes
1answer
321 views

Partial fraction expansion with complex numbers

$$\text{Apart}\left[\frac{1}{x^4+1}\right]$$ Does nothing. How can I get it to expand it. Sometimes it is useful.
1
vote
2answers
68 views

Using Apply on a function with multidimensional input

I have a user defined function which takes multidimensional input, e.g a function that takes two algebraic variables a and b as well as a matrix m and computes some rule function as: ...
1
vote
3answers
64 views

Controlling the evaluation of other arguments in pure functions [duplicate]

I have a piece of code where I would like to do the something like the following: ...
4
votes
1answer
320 views

Smoothing a unit step function

I want to smooth a unit step function for use in NDSolve so this function is a smooth function of time (t). How can I do the ...
19
votes
2answers
311 views

How does Rescale[] handle infinities?

Rescale appears to be a simple function. It just does a simple linear $y = a x + b$ type rescaling of the values: ...
0
votes
1answer
80 views

Calculation Performance (slow Plotting)

I have a functions, which is an Integral. It is exaclty this function Zf[x_] := 2*I*NIntegrate[Exp[-y^2.0 + 2.0*I*y*x], {y, 0, Infinity}]; Later I need to plot a ...
14
votes
1answer
446 views

How do I create a triangulated surface from points?

I have a set of points in a nx3 matrix and I would like to convert them into a surface, so that I may calculate its surface area. The function ListSurfacePlot3D creates the surface how I want it. ...
-1
votes
1answer
60 views

List command separating multiplicative terms [closed]

I am trying to separate and store additive terms via the List command. For instance I want "AB+CD+XY" to be stored as {AB, CD, XY} This has worked well, but when there is only one term (only ...
1
vote
1answer
57 views

How do I express an equality as a function of one of the equality's variable?

Say I have this equality: (-52271 - 200 x + 100 x^2 - 1058 y + 529 y^2)/52900 == 0 and I want the same equality, but expressed in a function of x, as in y(x). ...
2
votes
4answers
1k views

I need F(x,y) = xy (not x*y) e.g. x= 1, y =2 so F(x,y) = 12 [closed]

I just need F(x,y) that give me e.g. x= 1, y =2 so F(x,y) = 12 Is that possible. I tried Google but not able to find a ...
7
votes
0answers
93 views

NotebookWrite a Cell with WholeCellGroupOpener option [duplicate]

Why NotebookWrite[ EvaluationNotebook[], Cell["ZZ", "Section", WholeCellGroupOpener -> True] ] produces: ...
2
votes
2answers
169 views

How can I partially evaluate a function?

I have a multivariable function, from which I'd like to define a marginalization: f(a,b,c,d,...,z) ---> g(a,1,c,d,...,z) Generally, g will have fewer argument than f, possibly none (full evaluation)....
1
vote
1answer
179 views

Absolute uncertainty and error propagation with lists [closed]

I am trying to do some error propagation using mathematica. This is my second day using the program. I am trying to take the derivative of a numerical function that is made up of the following lists. ...
10
votes
4answers
439 views

How to check the style and number of arguments like the built-in functions?

Given that I have a function sqrt[x] that I must check the style and number of argument x. I can do like this: ...
2
votes
1answer
110 views

How many arguments does a function require, and how to use that in `Manipulate`

The goal is to vary the order parameters in wavelet transforms in the Manipulate environment. The various transformations have arguments of different rank. For ...
1
vote
2answers
55 views

Insert several rows and problem with Return

I wanted to write myself a function that makes it possible to Insert several rows into one list. ...
1
vote
1answer
59 views

How to find all gaps of a domain of a function with Mathematica 9?

I tried it liek this: My test-function: fuu[x_] := Expand[FullSimplify[1/x]] how i find the domain: ...
2
votes
1answer
125 views

What's the difference between functions and replacement?

I used to thought that calling a function is equal to applying a rule, i.e. applying a rule of f[x_]->sth. is equal to calling a function f with definition f[x_]:=sth. However, given ...
0
votes
1answer
78 views

repeat calculate [closed]

I want to calculate the below program x[t+1].But I can only calculate t=0,1. please tell me how to calculate t = 0 to 10. ...
1
vote
0answers
119 views

How to Implement a “Function Object” suitable for NDSolve and Finite Element Method?

I have a bunch of methods that shoud return an expression that behave like a function, i.e. an expression that, when supplied with suitable arguments, evaluate to something. A simple ...
1
vote
3answers
287 views

How to replace element of list by index

I'd simply like to replace the value x at index [[j,i]] in a two dimensional table with the value ...
2
votes
1answer
87 views

How to run a function over an increasing set of integers to find a fixed point

I have a function which runs a sum from -integer to integer based on some data, something like, schematically ...
1
vote
1answer
61 views

How to TakeWhile not zero of functions?

fuu[x_]:= 2 - x^3 + x^7 This works: TakeWhile[{5, 4, 3, 2, 2, 1, 0, 0, 0, 0}, # != 0 &] (*{5, 4, 3, 2, 2, 1}*) This ...
0
votes
0answers
21 views

Is there a list of function shorthand notations, shortcuts, and other various symbols somewhere? [duplicate]

For example how you can use // to apply some functions like Simplify instead of enclosing the argument in square brackets. Or ...
2
votes
3answers
181 views

Defining a 2-variable function over voronoi diagram

I am new to Mathematica & I am facing a problem as follows: I have created a Voronoi diagram and now I want to assign to each region, a value, i.e., I want to extend this Voronoi diagram to form a ...
0
votes
2answers
116 views

How to make a list of Plots of derivatives of a function?

I did that.. i don't see what i did wrong. How would you do this? I want to use it for ListAnimate. ...
2
votes
1answer
51 views

Strange behavior when defining a symbol/function pointwise

I am well aware of the fact that floating point number have finite precision, so one needs to be careful when comparing them. Still, I find it disturbing/surprising that the following input into ...
1
vote
1answer
76 views

Finding parameters for which a function/symbol is defined

Suppose I have a symbol/function defined pointwise like in f[1, 5] = 3 f[3] = 7 f[2, 3.4] = 8 By executing ?f I can see the ...
0
votes
1answer
80 views

What is a good way to check what kind of a function a function is?

i want a module or function or switch or If (whatever works), what asks if a function is an e function or a polynomial(a hole number one or fractorial), a exponential function, a logarithm function ...
6
votes
1answer
307 views

What is the relationship between Thread and MapThread

I hope this is not a silly question, since there are plenty of questions on Thread and MapThread. However, I still cannot quite ...
1
vote
1answer
108 views

How to find the domain of an arbitrary function?

I got stuck here: fuu[x]:= 1/x +2x^2 Reduce[Exists[{x},fuu[x]],Reals] of course it doesn't work like this. How can i check if there will be divided by zero or if ...
0
votes
0answers
49 views

Constructing a function for expanding general $n$ products

I have the following quantum mechanically motivated product: $\langle0\vert(A_1b_1 + A_2b_2 + A_3b_3)(B_1b_1 + B_2b_2 + B_3b_3)(C_1b_1 + C_2b_2 + C_3b_3)$, where $b_i$ is an annihilation operator ...
5
votes
1answer
89 views

Shadowing of optional function arguments?

I am trying to define two different packages that process some information in a different way. These packages have functions into them with optional arguments. The names of the optional arguments ...
1
vote
1answer
154 views

Transposing X and Y on a plot [duplicate]

This question has appeared in many forms online, but none directly apply to my problem. I have a quite complicated, albeit bijective function of the form ...
2
votes
0answers
47 views

Computing an inexact derivative with some terms preserved in exact form

I am beginning to learn Mathematica and have the following question: How can I return a derivative with exact numbers instead of one involving numerical approximations? My original, single variable ...
2
votes
1answer
365 views

Making Mathematica function files like in MATLAB

I'm a MATLAB user trying to get familiar with Mathematica. I have long Mathematica sheet that spits out some matrices at the end after much math. I want to run a loop over couple of different initial ...
3
votes
2answers
85 views

understanding a mathematica equation

I have found the equation below written with Mathematica, I looked at the Mathematica online guide but it is still difficult to understand the equation. Can someone write this (or part of it) in ...
4
votes
3answers
568 views
5
votes
3answers
130 views

Encapsulated plot function misbehaves

To insure a collection of plots has identical appearance, the plot command is encapsulated in a function. The results are undesirable. The fiducial plot is ...
2
votes
1answer
122 views

Missing zero in the CoefficientList

The following list has a length only 10 (not 11) CoefficientList[Series[ArcTan[x]/(1-x^2),{x,0,10}],x] {0, 1, 0, 2/3, 0, 13/15, 0, 76/105, 0, 263/315} It should ...
3
votes
5answers
197 views

Converting multi variable expression into a function

So I have this rather complicated looking expression ...
0
votes
0answers
69 views

Which method to use for finding maximum without actually computing optimization function explicitly?

I am new to Mathematica and I am currently working on an optimization problem. The optimization function that I have easy to calculate for some assignment of variable but it is very difficult to ...
3
votes
1answer
212 views

I want to construct a function than the output is “Sequence”

For example if the input is x and x<10 the output is Sequence[x,0],if x>10 the output is Sequence[0,x] but obviously ...
2
votes
1answer
105 views

How can I run a summation numerous times?

I have been working on code for finding the Allan plot of generated white noise, however, I cannot figure out a way to automate it for a different range of numbers. My code is as follows: ...
2
votes
0answers
69 views

Marginal distribution with weight

Given a multi-variate distribution $P(\mathbf{x},\mathbf{y})$, I would like to obtain the marginal distribution $$P_m(\mathbf{x})=\sum\int_{\mathbf{y}}P(\mathbf{x},\mathbf{y})W(\mathbf{y})$$ In my ...
30
votes
1answer
644 views

What are SparseArray Properties? How and when should they be used?

A strange undocumented form of SparseArray is increasingly used in answers on this site: ...
5
votes
1answer
121 views

How to create fast functions based on units?

Using units is a good means for rapidly developing code, since it provides some error control. Hovewer, using Mathamatica functions containing units appears to be copmutationally inefficient. ...