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Count digits
Count total number of digits from 1 to n. * n=13 * output=17 since from [1-9] total 9 digits.[10-13] total 4*2=8 digits.

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Repeat Vector Values an Arbitrary Number of Times
Given two vectors of the same size, repeat the values of the first vector the number of times given in a second vector. For exam...

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Find the outcast
All pairs have the same difference except for one. Output the index of the latter Example: input =[0 1; 1 0; ...

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Sort Non-zeros
Consider 0s in a vector creates a break-point. sort all the sub-arrays created by those break points. For example, a = [3, 4, 1...

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Return strings encapsulated by braces
Return all substrings that are contained within braces ({}). For example: str = 'x = rho*x{-1} + (1-rho)*y{+1}'; when...

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Number of occurrences of letter in a text
Given an input text either as a string or as a cell array of strings, return a (1 x 26) matrix containing the number of occurren...

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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 ...

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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...

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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

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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...

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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 ...

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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...

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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...

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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 ...

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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...

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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...

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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...

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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...

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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...

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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...

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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...

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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 ...

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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 : ...

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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...

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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...

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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...

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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 ...

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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 : ...

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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 ...

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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...

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