# Questions tagged [iterators]

Questions on using and specifying iterators used in Mathematica functions.

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### 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: ...
• 187
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### 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
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### 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. ...
249 views

### Nested floor functions

I would like to compute a limit involving a particular nested floor function. For example: ...
1 vote
57 views

### 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 ...
23 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 ...
295 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 ...
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### 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 ...
• 4,910
84 views

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 ...
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1 vote
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### 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 ...
• 195
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### 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 ...
• 201
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### 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 ...
131 views

### 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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### Exporting specific frame of ListAnimate

Imagine I have a certain list of Graphics-type objects that I then incorporate into ListAnimate ...
• 4,138
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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 ...
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### 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
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### 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. ...
• 2,292
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### 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 ...
232 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 ...
• 327
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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 ...
• 327
51 views

### 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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### 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 ...
• 163
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### 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 ...
• 594
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### 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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1 vote
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### 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 ...
109 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 vote
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1 vote
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### 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
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### 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 ...
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1 vote
358 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 ...
224 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. ...
101 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
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### 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 ...
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### 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 ...
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### 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'...
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70 views

### Is it possible to generate iterators dynamically during parallel processing?

I have a parallel processing code written in Wolfram Mathematica, similar to: ...
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### Iterating with Do rather than NestList

This code below works fine for me. ...
• 1,601
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### Problem with iterations of Prepend/While

I am doing some work with black-scholes and am trying to find random interest rates based on some given information. This is my original code: ...
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### How to iterate through a lists of lists and delete a certain element?

Say I have a list of lists such as l1 = {{a, 2}, {a, 5}, {b, 3}, {b, 9}} How would I iterate through the list and delete all the lists with the first element b ...
395 views

### How to nest multiple functions with multiple variables

I'm trying to solve coupled equations by using iteration. There are two functions $G$ and $H$ that I need to find. In the code, G and H are actually lists of numbers. I start by using a simpler ...
1 vote
58 views

### Nested Table With Iterable Bounds

I have a set of data that looks vaguely like this: ...
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1 vote
51 views

### Iterate through union of lists to correspond to each element a list of names of the lists to which the element belongs

Say I have several lists L1, L2,L3 an I want to correspond to each of the elements of Union[L1,L2,L3] a list of list names to ...
1 vote
79 views

### How to iteratively (or most efficiently) create such list?

Update A very crude attemp ...
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223 views

### Automating a large operation by making a function

I would like to automate the following operation. To be transparent I shall put my code into separate chunks and explain the process. Suppose I have the following: ...
• 2,696
1 vote