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Questions tagged [programming]

For mathematical questions related to programming, and questions where a computer-aided solution is strongly suggested. A strong connection with a mathematical topic is needed to make programming questions on-topic. This should not be the only tag. Consider also using the tags (algorithms), (numerical-methods), or (linear-programming).

1 vote
1 answer
27 views

Schedule recurrent tasks to match a desired frequency?

I'm trying to write a small task scheduling function that takes a list of tasks, each with an assigned priority. These tasks are meant to update some values in a database, and some need to run more ...
Juan's user avatar
  • 971
0 votes
0 answers
49 views

Calculating $ \sum_{k=1}^n \lfloor k * \sqrt 2\rfloor $ [duplicate]

This is a programming question I've come across recently and it requires me to find this sum as quickly as possible since n can become very large (up to 10100 ...
rev's user avatar
  • 13
0 votes
1 answer
43 views

Why are such two methods functionally equivalent from a mathematical perspective?

To program a function that tests whether all elements in an array are greater than 5, the straightforward way will be: ...
xmh0511's user avatar
  • 205
1 vote
1 answer
119 views

Numerical integration improves when step size is smaller, but in which direction?

I am implementing a double integration of a function; numerically in Matlab. What I basically do is: ...
Neelabh Jyoti Saharia's user avatar
0 votes
1 answer
67 views

Modular square root function with Hensel's Stronger Lemma; algorithm for $\bmod 2^x$? Also $x^2 = a\pmod{p^n}$ when $\gcd(a,p) \neq $1

I'm programming a solution to HackerRank's Project Euler 100, which is a much stronger variant than the original question, so I have to essentially make a quadratic solver, which involves a lot of ...
Andy Zou's user avatar
0 votes
0 answers
28 views

How to derive the formulas of the spin-weighted spheroidal eigenvalues (2.16a)-(2.16g) in arXiv:gr-qc/0511111?

I am reading the article "Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions", which is on https://arxiv.org/abs/gr-qc/0511111. I want to ...
amon xu's user avatar
2 votes
0 answers
28 views

Effective algorithms for finite lattices of (higher-order) monotonous functions?

I am looking for references on effective algorithms on finite lattices or posets, and in particular on lattices of monotonous functions between two lattices, with higher-order structure -- monotonous ...
gasche's user avatar
  • 121
1 vote
0 answers
70 views

Is there an algorithm for finding every isolated singular point on an algebraic variety, or a programming language that implements this?

Suppose one wishes to test if a given algebraic surface f(x,y,z,w) = 0 in projective 3 space has singular points, that is df/dx = df/dy = df/dz = 0, and one also wishes to calculate these singular ...
drfpslegend's user avatar
1 vote
1 answer
211 views

Is it possible for integer division in C++ to express a compact mathematical condition, as for Euclidean division?

I am studying integer division in C++. At the same time, I read the wikipedia article 'Euclidean division'. In this article there is such a lemma: ...
Ilya Chalov's user avatar
0 votes
1 answer
146 views

Calculate position of bouncing ball based on arbitrary time value

Usually, when you make a bouncing ball in any programming language, you have an X and Y value that updates over time, as well as an x velocity and y velocity, whose signs flip when the ball hits the ...
Archonic's user avatar
1 vote
0 answers
45 views

How to generate tangles?

In my research I need to generate tangle diagrams for with small number of crossings ($\leqslant 10$). By tangle I mean 2-tangle, that is an embedding of two arcs into a ball where endpoints of arcs ...
Turtle5's user avatar
  • 356
1 vote
1 answer
44 views

How does this code implement the gauss-siedel method?

I have been trying to port and understand the code used in the paper Real-Time Fluid Dynamics for Games. One function in the paper, the method to diffuse one of the vector fields is said to use the ...
Arin Bryan's user avatar
6 votes
1 answer
458 views

Taxi distance count to all lattice points at specified distance from the lattice origin and of a specified dimensionality?

Setup of the problem Description of the lattice The problem is stated on a non-negative integer ($ℤ_{\ge 0}$) lattice. The specification of distance is also a non-negative integer ($ℤ_{\ge 0}$). ...
user avatar
5 votes
4 answers
1k views

Does the set of all programs form a group that acts on machine state (essentially, i.e. with a few exceptions)?

Since the only thing a computer can do is modify its machine state, and you can always change from one state into another state (there exists such a program) and so each program is invertible; and if ...
SeekingAMathGeekGirlfriend's user avatar
0 votes
0 answers
55 views

Uniqueness of negative and positive digit representation of integers

The question is regarding to the python code for following problem. We consider two type of digits, negative and positive to represent integers in given base. We are presenting theorem (self made), ...
Pruthviraj's user avatar
  • 2,707

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