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Feeds
A résolu
Rooky Towers
You are wandering and as you realise something's off, you find yourself lost in a peculiar place - Over a giant field which is ...
30 jours il y a
A résolu
Bernstein Basis Polynomials
Return the coefficients of a Bernstein Basis Polynomial B(v,n) for degree n and order v - %Examples B(2, 5) = 10*x^2*(1-x)...
environ un mois il y a
A résolu
Find the longest runs of primes generated by polynomials
Cody Problems 60942, 60943, and 60944 involve polynomials that generate primes. No polynomial can generate only prime numbers, b...
environ un mois il y a
A résolu
Hermite Polynomials
Problem 1304 deals with Hermite polynomial of the physicist's type. In this problem, Return the n-th Hermite polynomial of the ...
environ un mois il y a
A résolu
Generate Bernoulli polynomials
The Bernoulli polynomial is a polynomial of order with the properties that and for , where the prime denotes differentiat...
environ un mois il y a
A résolu
Bessel Polynomials
Return the n-th Bessel polynomial Assume that n is a non-negative finite integer. bessel_poly(0) ans = 1 bessel_poly(1) ...
environ un mois il y a
A résolu
Laguerre Polynomials
Create a square lower diagonal matrix containing the first n Laguerre Polynomial coefficients. For n=6, the Laguerre Matrix is: ...
environ un mois il y a
A résolu
generate a matrix of Legendre polynomials
input = x - the degree of the polynomial output = matrix of Legendre polynomials
environ un mois il y a
A résolu
Mesh the icosahedron
Problem statement An icosahedron is a regular polyhedron with 12 vertices and 20 triangular faces. It is also one of the five...
2 mois il y a
A résolu
Mesh the dodecahedron
Problem statement An dodecahedron is a regular polyhedron with 20 vertices and 12 pentagonal faces. It is also one of the fiv...
2 mois il y a
A résolu
Build triangulation from -sorted- edge list
Problem statement An edge list is simply a N x 2 matrix of positive integers, in which N is the number of edges and each intege...
2 mois il y a
A résolu
Check Euler's characteristic on regular polyhedra
Problem statement Given the number of vertices and the number of faces of a given regular polyhedron, compute the number of its...
2 mois il y a
A résolu
Mesh the square with triangles
Problem statement An square is a regular polygon with 4 vertices and 4 edges. A triangulated mesh T (stands for triangles he...
2 mois il y a
A résolu
Mesh the pentagon (with the minimum number of triangles)
Problem statement An pentagon is a regular polygon with 5 vertices and 5 edges. Here below is an example of the vertex set V,...
2 mois il y a
A résolu
Mesh the tetrahedron
Problem statement An tetrahedron is a regular polyhedron with 4 vertices and 4 triangular faces. It is also one of the five w...
2 mois il y a
A résolu
Mesh the cube
Problem statement : mesh the cube with quadranglar / squared faces An cube / regular hexahedron is a regular polyhedron with ...
2 mois il y a
A résolu
Mesh the octahedron
Problem statement An octahedron is a regular polyhedron with 6 vertices and 8 triangular faces. It is also one of the five we...
2 mois il y a
A résolu
Linear primes p' = mp + n
Problem statement List the prime numbers of the form p' = mp + n for a given (m,n) couple and such that p' < k, k positive in...
2 mois il y a
A résolu
List the complementary / symetric prime couples
Problem statement For a given positive integer n, provide the prime couples (p,p') such that p + p' = 10^n. NB : a number li...
2 mois il y a
A résolu
Check Legendre's conjecture
Context and problem statement Legendre's conjecture states for a given positive integer n, there always exists at least one pri...
2 mois il y a
A résolu
List the twin prime couples
Problem statement The twin prime couples (p,p') are the ones such that p' = p + 2. For a given integer n > 1, list the twin p...
2 mois il y a
A résolu
Check Bertrand-Chebyshev's theorem about prime numbers
Historical context Bertrand's postulate, also later known as Chebyshev's theorem, is a very important theorem in number theory ...
2 mois il y a
A résolu
Check p = 6n +/- 1, the generic formula for odd prime numbers greater than 3
Problem statement For all odd prime number p greater than 3, there exists a positive integer n, such that p = 6n +/- 1 : ...
2 mois il y a
A résolu
Check p = 4n +/- 1, the generic formula for odd prime numbers
Problem statement For all odd prime number p, there exists a positive integer n, such that p = 4n +/- 1 : Check this f...
2 mois il y a
A résolu
Chek the Delta = p' - p = 6k gap theorem about arithmetic progressions in the prime number set
Context In the prime numbers set there are some arithmetic progressions (sequences of three or more consecutive prime number...
2 mois il y a
A résolu
List the near-square primes, p = n² + 1 (Landau's 4th problem)
Historical context At the 1912 International Congress of Mathematicians, Edmund Landau listed four basic problems about prime...
2 mois il y a
A résolu
List primes which are the sum of two consecutive lower primes plus minus one
Problem statement Some prime numbers can be written as the sum of two consecutive lower primes plus / minus one : Like t...
2 mois il y a
A résolu
Check the integers decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...
4 mois il y a
A résolu
Check the 'golden prime squares' equation
Historical context In december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula : ...
4 mois il y a
A résolu
Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...
4 mois il y a
