Questions tagged [iterators]
Questions on using and specifying iterators used in Mathematica functions.
179
questions
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views
A way to generalize my code for this non linear ODE problem
I am trying to solve the differential equation $y''(x) = y(x)+\sin[y'(x)]$ using "Fixed Point Iteration" over the interval $[0,1].$ Now using central difference method I arrived at the ...
- 143
0
votes
1
answer
46
views
How to make this bisection code work for different equations?
I am very new to Mathematica. I have this code of Bisection Method for finding a root of a polynomial.
...
- 143
0
votes
0
answers
50
views
Multiple iterators and vectors in a region
I'm interested in vectors whose coordinates are multiple of icosahedron coordinates of the vertices times $n+\tau m$ with $n,m$ integers. Then I want to see if they fall inside an icosahedral region ...
- 243
1
vote
3
answers
499
views
How to plot an imaginary number, i, power tower as done in the following way?
Can somebody explain what two variables exactly they have plotted against each other to get such graphs, and how one would go about getting this graph in Mathematica?
- 43
-2
votes
1
answer
101
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How to plot an iterative function of y(n+1) against y(n) in order to analyze the convergence of real power towers? [closed]
I'm new to mathematica and was wondering how to plot an iterative graph for power towers. If there is a power tower y= x^x^x^x^x^x^... we can rewrite it as an iterative equation in the following way:
...
- 43
0
votes
1
answer
115
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How can I nest a complex function?
I am examining the mandelbrot set so I need to iterate the function
f[z_Complex, c_] := (z)^2 + c
Besides, I want to choose the complex numbers dynamically from ...
1
vote
1
answer
91
views
Inconsistent results solving system of equations with FindRoot
I have been trying to solve the following problem (Is basically a physics problem: an expansion of equations of state up to 1st order of the order parameter in order to solve for the critical ...
0
votes
0
answers
32
views
"ListPlot" of some probability distribution of a function under "NSum"
Sir,
While trying to Listplot the Probability distribution of a function under command NSum, it shows some error messages and no plot is shown.
the details of the inputs written in mathematica along ...
0
votes
1
answer
70
views
How to optimize code for obtaining large data set?
In an application, I need to find a region where some conditions must be true. However, these conditions are made of interpolating function solved by ParametricNDSolve. I will give a toy model example ...
- 1
4
votes
2
answers
144
views
Evaluation of an iterator construct containing Sequence in Table
The following code:
Table[i*j, Apply[Sequence , {{i, 1, 3}, {j, 1, 2}}]]
returns the error:
Table::nliter: Non-list iterator Sequence@@{{i,1,3},{j,1,2}} at
...
- 2,114
2
votes
2
answers
120
views
Efficient alternatives to a Table based iteration
I have performed some operations using the Table iterator but I am looking for efficient alternatives to my approach.
First, some preliminary code:
...
- 199
0
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0
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74
views
How to implement recursive function in While loop Module, calling on other functions
I am trying to implement a module such that it " takes a distance matrix, Q, and iterates
the corresponding “Bellman operator” module written above until a final cost-to-go
function (i.e. J) is ...
- 65
2
votes
2
answers
277
views
In a for loop, how do I assign a table of values to a new variable for every iteration?
I am trying to create a divided differences table for a set of data of depth n, specified by the user. I am not sure how to create and assign a new variable name for each iteration of the for loop. ...
- 31
2
votes
3
answers
277
views
Nested floor functions
I would like to compute a limit involving a particular nested floor function. For example:
...
- 239
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vote
3
answers
69
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Digits product and an iteration process
I would like to create a code which gives me the square of the product of the digits of a number, with the only rule that if a number has a 0, then it doesn't count in the product (for example, if the ...
- 239
2
votes
0
answers
26
views
Constructing Table iterators programmatically: how to avoid the non-list iterator error? [duplicate]
The following simple code of course works:
Table[n^2, {n, 3, 15, 2}]
(* Out: {9, 25, 49, 81, 121, 169, 225} *)
I would then like to construct the iterator ...
- 599
6
votes
5
answers
410
views
Changing iterator inside a Table?
Consider
Table[
If[i == 3, i = i + 2;];
i
, {i, 1, 10}]
{1, 2, 5, 4, 5, 6, 7, 8, 9, 10}
The above output is not what I would expect (namely ...
- 11.9k
3
votes
2
answers
130
views
Generate a sequence of all cases
There is a sequence of numbers that satisfies
$a_1=2$, $a_n-a_{n-1}\in \{1,3,5\}$
I tried to enumerate all possibilities using the code below
...
- 5,562
6
votes
0
answers
101
views
WTC2021 Iterators Paclet download
At WTC2021 Roman Maeder gave a presentation about Iterators.
In the presentation notebook it is mentioned that the code / paclet (Iterators-0.9.paclet) is provided as part of the presentation ...
- 726
1
vote
0
answers
31
views
Repeated calculation with neural network measurement slows down
I have a list of 200 neural nets nets0. I have to measure the output of several layers of each of them on a list of 1000 associations ...
- 215
0
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0
answers
56
views
Generating iteration and constraint lists dynamically
I have a model for which I want to perform a set of calculations with successively deeper iterations and more constraint. In other words for a given value of a Do iterator, n, I want to:
perform a ...
- 231
3
votes
0
answers
81
views
Supplying a seed for an iterative method in LinearSolve
Just a quick question. Does anyone know if it is possible to supply a seed for the iterative methods in LinearSolve?
I have a large sparse system, and even using some Krylov iterative solver, my ...
- 515
5
votes
1
answer
211
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Incorrect syntax highlighting? "Variables made special by use in arguments" not working
This example is obviously not useful on its own, but it will cover everything I actually need to know for a more complicated function I'm making.
The example is to recreate the ...
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3
answers
138
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Exporting specific frame of ListAnimate
Imagine I have a certain list of Graphics-type objects that I then incorporate into ListAnimate
...
- 4,187
0
votes
3
answers
150
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Iterative function
I would like to write a bit of code that does the following.
Pick a random number from 1 to 20 (inclusive)
then if that number is < 15, stop
if that number is > 15 pick 2 numbers from 1-20, and ...
- 792
2
votes
1
answer
160
views
Repeating and Sequencing Procedures with two Do-loops
I have a Do loop where I'm looking for the value of certain parameters that respect the conditions inside an If, and with those values, a run another Do to make another calculation of an expression ...
1
vote
0
answers
56
views
Custom Table, for iterating over permutations
It is common that I iterate over all permutations of 1,2...,n, either by making a table or performing a sum.
Instead of creating the set of all permutations, it would be better to iterate over them.
...
- 2,364
4
votes
1
answer
157
views
Trouble iterating my forest fire simulation
I'm having some trouble iterating my simulation of a forest fire. I'm new to Mathematica, so apologies for poor coding. I'm sure there are far neater and more efficient ways of doing this, but I would ...
- 51
6
votes
2
answers
247
views
Function to create random matrix, then a simulation. *EDIT* Create two functions
How can I write a function with parameters b, i, and j, which would return a i x j array of 0s, 1s, and 2s, but the array needs to be populated randomly with 0s and 1s which have respective ...
- 337
4
votes
3
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323
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Function representing a forest fire after one time step
How can I create a function that would have as its argument an array mat of 0s, 1s, and 2s where the 2s are burning trees and the function would give an array that represents the forest after one time ...
- 337
0
votes
1
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71
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solve for variable in iterator limit
Why can we not solve for P in the iterator limit in the problem below? How can it be solved?
...
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2
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2
answers
158
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Can one make `Do'-Loops of arbitrary depth?
In the documentation for the Do[...] function, a loop of nesting up to any number of layers is supported. But to apply their function, one needs to know ahead of time how many layers of loops they're ...
- 175
3
votes
1
answer
158
views
Strange indexing behavior by Table
Maybe I do not understand how Table works, but I find this very confusing and it took me a long time to debug because this was part of a much more complicated routine.
I am trying to build an array ...
- 604
2
votes
1
answer
60
views
Two different variables in a Do Loop
I am trying to use the code developed by @Alex Trounev here: Numerical solution of an iterative equation for different kind of q. I am not sure how to incorporate ...
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0
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90
views
Need help with NestList [closed]
NestList::intnm: Non-negative machine-sized integer expected at position 3 in NestList[#1 + t&, 0, 8.].
What does the above error mean and how can I refer to result of ...
0
votes
2
answers
188
views
Using condition for each element of a matrix
I'm trying to write a code so that for each element of matrix C2 if the element i,j is equal to element j,i and it is equal to 1 then it adds one to a variable and if not it adds one to another ...
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1
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1
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606
views
Fixed point iteration with While or Do Loop
I need to write a while or do loop to perform the iteration $x_{n+1}=Cos(x_n)$ with initial value $x_0=1$ and stops when the absolute value of the difference between two consecutive iterations is $|x_{...
2
votes
2
answers
122
views
Using iterative functions to specifically sort a list
The following code sort the list li in a such way that consecutive terms $t_n,t_{n+1}$ are of the from ...{x_,y_}, {y_,z_}.... i....
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1
vote
1
answer
69
views
Use of a For/While loop inside another For/While loop for dual integration [closed]
Can anyone please give suggestion for using For/While loop inside For/While loop for integrating a function with respect to two variables say for-
$\qquad r = (x^2 + (a/y^2))^(-1/2)$
Integration is ...
- 43
5
votes
1
answer
123
views
Nest or fold a series of geometric transforms
I have a requirement to perform a series of GeometricTransformation[]s using the AfineTransform[] function. I use these to set ...
- 197
0
votes
1
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109
views
How I can plot the below map?
I have tried to plot the following map:
$\qquad
\begin{cases}
y_{n+1}=r y_n^{x_{n+1}-x_{n+2}}\\
y_1=x_1-x_2 \quad
\end{cases}$
using the code shown below. The error I have got is that
x[1] - x[2] ...
- 419
1
vote
1
answer
35
views
Plotting an iterated piecewise function with endogenous nodes
I am trying to plot a piecewise function that I can define recursively, where the nodes are endogenous as well. Basically, $f(l)=a^{t}$ when $l \in \left( \frac{\mu}{\alpha^{t-1}(1-\alpha)+\mu(1-\...
- 37
1
vote
1
answer
82
views
Code to generate many Do-loops, where the $i$-th loop has upper bound given by $f(i$)
How do I get Mathematica to run an arbitrary number of Do-loops, where the i-th loop it upper bound given by some function $f(i)$? I badly need help with this.
Let's denote the desired code by ...
- 13
7
votes
1
answer
436
views
Why can't I create {a,a,a,b,b,b,b,b,c,c} from x={a,b,c}; f={3,5,2}; Thread@Table[x,f]?
ClearAll[x, f]
x = {a, b, c};
f = {3, 5, 2};
Thread[Table[x, f]]
produces
Table::nliter: Non-list iterator f at position 2 does not evaluate to
a real numeric ...
- 1,879
1
vote
1
answer
639
views
How do I evaluate my functions over a range of values? [closed]
I want to use the list of data which will come from MapData1 (in code); the first element is θ and second is Action(I). I want to use this Action(I) and Angle(θ) in ...
- 35
8
votes
1
answer
299
views
How can I use a loop with an iterator in order to evaluate a function?
I'm trying to evaluate a function, that depends on two variables, in a specific set of values. I will write an example, but my system is more complicated.
...
4
votes
1
answer
125
views
Iterative comparison between different vectors
I have some soccer outcomes for each league round to import in a data form similar to that:
...
- 401
2
votes
1
answer
114
views
Stop `(Parallel)Table` evaluation when wanted case is found
I have to go through a long list of evaluations, for which I suppose Table instead of For or ...
- 4,688
3
votes
1
answer
486
views
Making a recursive function
Suppose I have the following functions:
a[x_] := x
b[x_] := x (a[x]) - a[x] + 1
c[x_] := x (b[x]) - b[x] + 1
d[x_] := x (c[x]) - c[x] + 1
as you can see each ...
- 2,776
0
votes
1
answer
125
views
Does lower case n have some significance in the Wolfram Language? [duplicate]
I am truly confused with this one, and maybe someone could help me to clear this up.
I am running a Table[] that runs multiple neural networks in series on OpenAI'...
- 1,407