解決済み

Pascal's triangle
<https://en.wikipedia.org/wiki/Pascal%27s_triangle> if the order is: x = 3; the output will be: output = [0 0 0 1 0 0 ...

6ヶ月前

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Elements with highest local average
Input v is a row vector such that length(v)>3. Consider a sliding window of length 3 that is used to calculate the local average...

6ヶ月前

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Solve the logic
logic(1) = -4 logic(2) = -8 logic(3) = -9 logic(4) = 4 logic(5) = 95 logic(6) = 690

6ヶ月前

解決済み

Median computation (★★★)
See easy edition of this problem. However, now you must compute the median of any real-valued vector without using the in-built...

6ヶ月前

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Index of neighbor pixel with steepest gradient
Unlike in various applications, where the gradient of a two dimensional matrix is calculated in x and y direction, the gradient ...

6ヶ月前

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Sorting integers by their digits (Level 3)
This is the next step up from <http://www.mathworks.com/matlabcentral/cody/problems/42811-sorting-integers-by-their-digits-level...

6ヶ月前

解決済み

Sorting integers by their digits (Level 2)
This is the next step up from <http://www.mathworks.com/matlabcentral/cody/problems/42809-sorting-integers-by-their-digits Probl...

6ヶ月前

解決済み

Sorting integers by their digits (Level 1)
Given a vector, v, of positive integers, return a vector, w, by sorting v in ascending order, such that primary sorting is done ...

6ヶ月前

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Assignment Problem
Given a matrix where row i corresponds to person i, and column j corresponds to task j and cell (i,j) corresponds to the time ta...

6ヶ月前

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Find longest run
Write a function longest_run that takes as input an array of 0's and 1's and outputs the length and index of the longest consecu...

6ヶ月前

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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...

6ヶ月前

解決済み

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...

6ヶ月前

解決済み

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...

6ヶ月前

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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...

6ヶ月前

解決済み

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...

6ヶ月前

解決済み

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 ...

6ヶ月前

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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 : ...

6ヶ月前

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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...

6ヶ月前

解決済み

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...

6ヶ月前

解決済み

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...

6ヶ月前

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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 ...

6ヶ月前

解決済み

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 : ...

6ヶ月前

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

6ヶ月前

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

6ヶ月前

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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...

6ヶ月前

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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,...

6ヶ月前

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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...

6ヶ月前

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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...

6ヶ月前

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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...

6ヶ月前

解決済み

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...

6ヶ月前