Questions tagged [iteration]
The iteration tag has no usage guidance.
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Simple Fractal square
I am working on a math question about infinite series, and one of the question images is below.
Each new white square has an area that is 1/4 of the previous square.
Always looking to learn elegant ...
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2
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What is the most efficient way to define a Loop until function?
Mathematica has the While function which is very convenient when we need to process some code until the attainment of a certain state (identified with a condition). ...
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Simple Birth Death Process
I am trying to implement simple birth death process. Why my code does not work? Any suggestion. Thanks. Cross posted http://community.wolfram.com/groups/-/m/t/1205656
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6
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Delete repeating elements across sublists
I have a list like this
test = {{1, 3, 5}, {7, 2, 8, 5}, {7, 1, 3}};
The list is guaranteed to have duplicates only across sublists and not within.
I would like ...
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Create a regular polygon with n vertices given two points
I want to create a regular polygon from the initial two points $A$, $B$ and number of vertices $n$,
regularPolygon[{0, 0}, {1, 0}, 3] gives ...
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How can I iterate this process?
a = RandomVariate[UniformDistribution[{0, 1}]];
b = RandomVariate[UniformDistribution[{0, 1}]];
c = RandomVariate[UniformDistribution[{0, 1}]];
a + a b + a b c
...
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349
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Using Nest to build continued fraction
To build basic continued fraction one can simply use:
Nest[1/(1 + #) &, x, 3]
However, it's unclear how using Nest ...
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4
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Using multiple hashtags in NestList
Are multiple hashtags allowed in NestList usage? If yes, how to implement it?
Example,
f[{x_, y_}] := {x + y, x - y};
NestList[f, {100, 75}, 5]
My attempt,
...
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2
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How to create a nested list of variable depth with indexed elements
i want to obtain this definition of a nested list
t = Table[C[i, j], {i, 3}, {j, 3}]
with arbitrary depth,
...
- 615
6
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2
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301
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How to iteratively build a list?
I have the following c++ code that I want to translate to Mathematica.
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369
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Heat transfer with functions defined on different domains
I'm attempting to model a situation in which a polymer initially at a higher temperature is sandwiched between two cooler metallic mold pieces with conductive boundary conditions in between the ...
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Coding the Mandelbrot Set for Beginners
I'm new to Mathematica and will need some help in coding the Mandelbrot set.
I don't want to use MandelbrotSetPlot since I want to understand the interior ...
6
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82
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5
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Best way to count nest depth in e.g. f[f[f[...[f[x]]...]?
What is the best way to count nesting depth in e.g. f[f[f[...[f[x]]...]? In other words, what function func is good for giving ...
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287
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Iterate over deepest values in a nested Association
Is it possible to iterate over the values of the deepest layer of keys in a nested association? For example:
...
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1
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How to recreate this complex iteration
I came across this image in a book Im reading:
(taken from Rational Iteration Complex Analytic Dynamical Systems from Steinmetz. I hope it is okay to share it here)
and I try to recreate it in ...
- 1,134
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ParallelDo barely faster than Do
I am new to parallel computing, so I am trying to get a grasp as to how this works. Many posts seem to indicate that overhead (like here) is a common pitfall, but I do not see why this would be the ...
- 1,349
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Replacing elements at a single level in a nested list
I want to replace all instances of 0 in the outer most level of a nested list with 1. However, when I use ReplaceAll as
...
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Building Truncatable Primes using Nest(List), While, Fold
Here is a video on Truncatable Primes. I tried to build it myself. Here is what I have tried using the method in the video for left Truncatable Primes.
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- 1,416
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342
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NestList: How to have a parameter that is changing as a function of nest index, n?
I have a NestList construction
NestList[STEP[#] &, m0, NT]
where a function is being called repeatedly that acts on a list and returns a list, for details, ...
- 604
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1
answer
93
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List operation for beginner Usage of #1 and #2 (in stead of using for loop)
I have trouble using list operation of #1 and #2. Could you please tell me how to make it?
I prepared the list as below,
...
- 99
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1
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123
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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 ...
- 187
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138
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Recursive nesting with parameter
I would like to apply a function f recursively to an expression expr an arbitrary number of times. However the catch is that <...
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70
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Functional iteration of list of functions
I'm getting completely stumped on writing a function makeIterate that constructs an iterated structure out of a list of functions e.g. ...
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What is the most efficient way to implement NestPairWhileList[f,expr,test,g]
Question
NestWhileList[f,x,test] lets you iterate a function until a condition is satisfied, outputting the list of iterated values
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Removing from a sublist, inserting into another one
From a list like
test = {{1, 3}, {2,7, 8}, {5,6}};
I would like to randomly select k elements, lift them out of their current ...
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NestList in 12.1/12.2 is 10x slower than 11.3/12.0
Are there any configurations to fix it?
Test code:
...
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140
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How do we optimise double Tables?
I have made the following code which I shall explain it in two parts:
First Part:
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1
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459
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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 ...
- 273
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361
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Efficient implementation of Non-Maximum Suppression
I would like to know is there is a way to do this:
...
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2
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155
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Fixed point of a vector
It seems to me that FixedPoint is designed to work with a particular value, but what if we want it to operate on a vector instead?
I start with an nxn matrix mat and the function:
...
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1
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124
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Two variable recursive integral equation
I'm trying to improve the question posted in Solving an integral vectorial equation by iterations but when the iterations are for two variables. I mean, suposse that I have the following integral ...
- 491
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120
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Iterative comparison between different vectors
I have some soccer outcomes for each league round to import in a data form similar to that:
...
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3
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770
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Iteration on a matrix
I want to update "matrix1" 100 times. "matrix3" will be new "matrix1" and it will iterate 100 times. Should I use a loop or function? First iteration is:
...
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367
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Defining a function iteratively without Mathematica getting stuck in a recursion loop
I have the following code:
...
- 636
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395
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3
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1
answer
140
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FixedPoint not working, despite quick convergence of sequence [closed]
Trying the computation below, with Mathematica 13.0.0, I am not getting a result returned.
FixedPoint[Cos, 0.85]
This appears in the 3rd edition of "...
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2
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Using the Fold function with multiple parameter inputs [closed]
I want to construct something like: f[a, b, c, f[a, b, c, f[a, b, c, f[a, b, c, f[a, b, c, f[a, b, c, x]]]]]]. I believe this can be done using the Fold or Nest ...
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Symbolic nest expressions
I'm trying to understand how to use symbolic expressions as arguments. The following example represents my problem:
...
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Solving an integral vectorial equation by iterations
I'm triying to solve a problem like the following:
$$
\binom{f(t)}{g(t)}=\binom{f_0(t)}{g_0(t)}+\lambda\int_0^t ds\hat{A}(s)\binom{f(s)}{g(s)},
$$
where $f_0(t),g_0(t)$ and $\hat{A}(t)$ (a $2\times2$ ...
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3
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two tier compound interest problem
I am trying to make sense of how mortgage repayment figures are calculated for two tier mortgages, where you fix your interest rate for a certain period and after that period, you fall back to the SVR ...
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1
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How can I iteratively add elements to a list
Basically I want to make a histogram with a list of dates by using DateHistogram[]. However I have the data of the dates in nested list format, with elements like ...
- 41
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1
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112
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Iterative simultaneous numerical optimization of two functions
p = y 10 - 2 x^2 + 5 x;
q = 20 y x - y^2 + 2 x;
I want to maximize both functions simultaneously (Maximise p to get x and Maximise q to get y). I know that I could ...
- 41
3
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2
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53
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How to use ReplaceAll iteratively over a list of lists?
I want to build a matrix J for each of the solutions of an equation.
And each solution is also a set of 3 variables (x,y,z).
In ...
- 204
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1
answer
57
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NestWhileList stop criteria for second appearecnce of element
How i can stop evaluation of NestWhileList after second zero occurs?
In my variant it stops at the first step.
...
- 45
3
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1
answer
152
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How to use NestList for coupled equations?
I have a code that works for a single equation. How to I use NestList for two equation that are coupled?
Below is the code for single equation,
...
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224
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3
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351
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Efficient way to iterate over large list and check conditions
The problem I am trying to solve is how to assign charges to a number of particles based on some conditions on the charges. It is conceptually very simple but requires processing a very large list. ...
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