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Check the integers additive decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...

7 months ago

Solved

Check p² = 24k + 1, p > 3, the 'golden prime squares' equation
Historical context In december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula : ...

7 months ago

Solved

Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...

7 months ago

Solved

Fermat primes
Historical context The french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / co...

7 months ago

Solved

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...

7 months ago

Solved

Mesh the convex hull of a random 3D point cloud
Problem statement The convex hull of a 3D point set is actually a first -though rough- triangulation of it. A triangulation,...

7 months ago

Solved

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...

7 months ago

Solved

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...

7 months ago

Solved

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...

7 months ago

Solved

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...

7 months ago

Solved

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,...

7 months ago

Solved

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...

7 months ago

Solved

Mesh the cube
Problem statement : mesh the cube with quadranglar / squared faces An cube / regular hexahedron is a regular polyhedron with ...

7 months ago

Solved

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...

7 months ago

Solved

P(girl likes you | she smiled at you)
Compute the probability Given the input probabilities

8 months ago

Solved

My wife's logic
Its is always the opposite of the causality law, that is to say the opposite of the implication relationship in math/logic terms...

8 months ago

Solved

Ulam primes second formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given...

8 months ago

Solved

Ulam primes first formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers ...

8 months ago

Solved

Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula to give some prime numbers. Problem...

8 months ago

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Frequencies of prime gaps
Problem statement Given two positive integers n and , write a function which computes the frequency of the gap between two ...

8 months ago

Solved

Find the first occurence of a given gap between two consecutive prime numbers
Problem statement Given a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f. E...

8 months ago

Solved

Prime numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...

8 months ago

Solved

Area under the curve
Compute area under the curve specified by points stored in y, where y is in range (0,inf) and x time step is 1. note: please r...

8 months ago

Solved

Cell Operator *
Please implement operator * for cell: >> {2,3} * 2 ans = 1×4 cell array [2] [3] [2] [3] >> {2,3} * [2 3]...

8 months ago

Solved

Check availability of a number in an array
An array is given A=[1 2 3 4 5 7 8 9 10]. Find whether the number n is present in given array or not. If the number n is prese...

8 months ago

Solved

Return the middle element of an NxN square matrix where N is odd
Let's say you are given an NxN square matrix where N is always going to be an odd number: x = [ 1 2 3 4 5 6 7 8 ...

8 months ago

Solved

Simple Income Tax

8 months ago

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Draw a Diamond shape in ones Matrix with '0' s
Input will be odd numbers.The task is to make a Diamond shape in a ones matrix with '0's where the matrix will be a square matri...

8 months ago

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Can the given sides form a triangle?
Can the three given sides form a triangle?

8 months ago

Solved

Find the index of nth maximum of a row vector of real numbers
Given a vector of real numbers x, find the index idx of _n_ th maximum value. If nth maximum occurs more than once, return the i...

8 months ago