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Questions about algorithms used or which might be used to implement a procedure known by name or loosely but not in detail. The subject of the question may be a procedure mentioned in the literature or a Mathematica built-in function

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I have a set of pairs of numbers {id, quantity}, which I store in the table tab; id takes discrete values, and ...
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I would like to download the gosper.m algorithm from the webpage https://www2.math.upenn.edu/~wilf/progs.html but the link gosper.m doesn't work. Where can I get ...
parisien's user avatar
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BoundingRegion is also known as enclosing region or circumscribed region. What algorithm(s) does BoundingRegion use? Below links ...
Ahamad's user avatar
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I am interested in various point processes, hyperuniformity etc. Noticed that the generation of mesh points for DiscretizeRegion is itself an example of point ...
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I'm working on implementing a difference-of-convex (DC) decomposition for nonconvex polynomials, following the algebraic approach described in Georgina Hall's thesis "Optimization over ...
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The question for all Latin squares was answered here for sizes up to 5 Finding all Latin Squares of order 5. However, there are 161280 Latin squares for N=5 and only 56 reduced Latin squares. The ...
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Given the definition: The frontier of Brownian motion is the boundary of the unbounded component of the complement of Brownian motion. Graphically, the frontier is in red: How can one isolate the ...
Sofista 137's user avatar
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Looking for algorithm Integer Properties Integer is ended with 0 or 5 Example: 64454542420, 83186482697426868635 Integer is very big. Aim: Want to get last digit of the integer. So result is 0 or ...
Asif Iqbal's user avatar
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Is there any way to fix or revise this code to find the EXACT optimal bound, and could anyone help find the EXACT optimal bound? Thanks. ...
Venus's user avatar
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I have a Graph (generally not planar and without particular layout), and a simple path that connects two points of its boundary, as in the example shown below. How to ...
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Apply an equation based on two sets with different indexes Simple example If I have the following elements in the form of two sets with different indexes: $m=\{m_1,m_2,m_3,m_4,m_5\}=\{1,2,2,2,1\}$ $p=\...
Emad kareem's user avatar
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Why does FindInstance[x>0,x] give 27? I would think it would give 1… maybe 2 or some small positive decimal.
Just Some Old Man's user avatar
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I want to use the numerical approximation of the integral of a function given a list of data: $$\int_a^bf(x)dx\approx\sum_{k=1}^N\frac{f(x_{k})+f(x_{k-1})}{2}(x_{k}-x_{k-1}),$$ where $f(x_0)=f(a)$ and ...
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I searched the internet for a Mathematica version of the Kabsch algorithm, using the search terms "Mathematica and Kabsch" nothing came up in. Looking through Mathematica documentation, I ...
complex's user avatar
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there is a question： " If a bottle of soda costs \$1 and you can exchange two empty bottles for one soda, how many sodas can you drink with \$20 " ...
我心永恒's user avatar
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I was initially trying to code an algo that can rapidly count k numbers that yield s when summed. These numbers must lie in the interval from 0 to d. For instance, taking d=2, k=2 and s=3, the ...
Huldrich's user avatar
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If we have the following sets and we need to apply the Sum of disjoint product property to them, as in the following example: Take: $$P_1=\{x_1 x_4\}$$ $$P_2=\{x_2 x_5\}$$ $$P_3=\{x_1 x_3 x_5\}$$ <...
Emad kareem's user avatar
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I typed the following array = SymmetrizedArray[{{1, 3} -> a, {2, 2} -> b}, {3, 3}, Symmetric[All]] array["StructuredAlgorithms"] which should ...
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Consider the following two expressions: f[x_,y_] := (1+x) g[x_,y_] := (1+x*y^2) x,y are bounded in a unit hypercube. (Ignore ...
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Is it possible to create a program that implements sequential mathematical steps... in order to be circulated to more than one selected set? Step 1: For the following sets: $$S_1=\{x_1,x_2,x_3\},S_2=\{...
Emad kareem's user avatar
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10 votes
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I am looking for an efficient way of getting 60 to 80 samples of an arbitrary f(x) such that the distance between adjacent samples are approximately equal. My first attempt is based on a first order ...
Ted Ersek's user avatar
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I'm working with a custom binary 'operation' $F$ which takes $x, y$ and produces $F[x, y]$, where the possible arguments are already given by some list $\{ \text{one}, a, b, c, d, x, y, e, f\}$ where $...
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Suppose we have some list of natural numbers $\{ 1, 2, \dots, N \}$ and each natural number $i$ has a 'weight' $w_i$. I would like to generate the all the integer partitions which satisfy the ...
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I have BVP as in the picture and I want to solve it numerically by method given as follow. In the original paper, it is motioned that first iteration is computed and other are computed with Taylor ...
Junaid Ahmad's user avatar
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5 votes
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I have been struggling with the following problem. Given: the coordinates of a bunch of boxes/rectangles (in the form {xmin,ymin,xmax,ymax}) aligned with the x-y ...
Fraccalo's user avatar
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I have created the tridiagonal matrix below: ...
Mule's user avatar
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1. Problem statement In accordance with the standard definitions the inbuilt MovingAverage ...
eldo's user avatar
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Let's assume I have n identical resistors. I can connect them either in series or in parallel (let's disregard bridge connections for now). Now, I want to list all ...
emnha's user avatar
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Example data list = {Missing[], Missing[], 100., 200., Missing[], Missing[], 250., 210., Missing[]}; With downloaded data I often have the situation that there are ...
eldo's user avatar
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6 votes
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322 views

I need a function which splits a sequence of arbitrary length at x random points and which guarantees that each partition (bin) contains a minimum of ...
eldo's user avatar
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5 votes
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697 views

I want to cross-tabulate football games over several years. Setting up example pairings: Please note that there can be up to 20 clubs and a couple of thousand matches! ...
eldo's user avatar
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8 votes
6 answers
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I want to accumulate positive and negative values separately. dt = RandomSample[Range[-10, 10]] {3, -5, 2, -9, 1, -1, 0, 8, 10, 4, -7, 7, -8, -3, 6, -4, -2, 5, -10,...
eldo's user avatar
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10 votes
9 answers
773 views

I want to partition an array composed of 1s, 2s and 3s in such a way that, going from left ...
eldo's user avatar
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10 votes
4 answers
816 views

I want to smooth a list of Integers so that outlying values become less spiky. The result vector must again contain Integer ...
eldo's user avatar
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7 votes
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My request is a follow-up on this question: Replacing duplicates instead of deleting them What if we want to replace duplicated values not with a single value but with newly created values distinct ...
eldo's user avatar
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Imagine I am solving a some Infinite Series and I cannot directly compute the value using Mathematica. The value of this series approximates $ 0.785398....$ (Actually is $\frac{\pi}{4}$). I want to be ...
No-one Important's user avatar
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2 answers
212 views

I would like to be able to extract terms that contain a symbol expression and leave the special function alone. I have a list: ...
Mariusz Iwaniuk's user avatar
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5 votes
3 answers
418 views

Say I have a weighted graph ...
Tomi's user avatar
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1 vote
0 answers
168 views

I know how to solve set of linear equations using Solve, or by hand of course. However, my current problem requires me to solve the equations in a specific order, ...
Lelouch's user avatar
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1 answer
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Given a graph $G$ with $n$ vertices, I need to find a subgraph consisting of $m$ vertices $\{v_1,\ldots,v_m\}$, and the induced subgraph of this subgraph should also be a tree. For example, suppose $G$...
Dotman's user avatar
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I'm new to Mathematica and I'm stuck on this piece of code. The code is supposed to let the user choose how many inequalities (in a number between 1 and 5) they want to be evaluated. ...
Gbekss's user avatar
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5 votes
4 answers
402 views

How can I generate n-bit base-m Gray code in Mathematica, where only 1 bit changes at a time and all possibilities are covered? I have been hitting my head against a metaphorical wall for a few hours ...
More Senne's user avatar
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3 votes
1 answer
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It all starts with the following system of equations that I can't solve by hand: ...
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Consider the following function, for $\mathbf{x}=\{x_1,...,x_n\}$ $$ F(\mathbf{x})=\sum_{k=0}^n \frac{e^{A_k\mathbf{x}}-e^{B_k\mathbf{x}}}{C_k\mathbf{x}}-\mathbf{b} $$ where $\{A_k\}$, $\{B_k\}$ and $\...
sam wolfe's user avatar
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Weighting matrices appear in the statistical design of experiments (Weighting Matrices and Statistical Design of Experiments. A weighting matrix is a generalization of Hadamard matrices, e.g., ...
Craig Carter's user avatar
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I want to adapt this code from this answer to work with unbalanced bipartite graphs: ...
WaterFox's user avatar
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2 answers
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I've recently been very interested in the wonderfully complex world of Euler sums, i.e. (convergent) infinite sums that, roughly speaking, consist of some rational polynomial combination of ...
TheOutZ's user avatar
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Ok, so I have a problem where I have a function that depends on 9 parameters and a bound condition $$f(x,y,z,w,t,u,v,r,s)<K$$ Now all these variables take discrete values such as: $$x \in \{x_1, ...
Granger Obliviate's user avatar
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2 votes
3 answers
212 views

Let $X$ be a metric space and $T:X\rightarrow X$ be a function. A point $x\in X$ is called a fixed point of $T$ if $x=Tx$. For example, if $X=[0,1]$ and $Tx=\frac{x}{2}$ then $T$ has a unique fixed ...
Junaid Ahmad's user avatar
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21 votes
4 answers
1k views

About 9 years ago, I came across this interesting website, and found the following paragraph with a broken Mathematica code sample: When fluid passes an object, it can leave a trail of vortices called ...
xzczd's user avatar
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