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A résolu
Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?
11 jours il y a
A résolu
Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?
11 jours il y a
A résolu
Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?
11 jours il y a
A résolu
Return the sum of all even numbers in a vector
Write a function that takes a vector of integers and returns the sum of all even numbers.
14 jours 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...
18 jours il y a
A résolu
q-dimensional Cartesian product
Your mission, should you choose to accept it, is to compute a q-dimensional Cartesian product, as follows. Let the input G be an...
19 jours il y a
A résolu
Compute the tersum
The tersum, which appears in certain mathematical games, involves adding two numbers in base 3 without carry and converting back...
20 jours il y a
A résolu
Identify winnable games of Take a Square
A game has a pile of tokens, and two players alternate in taking a certain number of tokens from the pile, with the constraint t...
environ un mois il y a
A résolu
Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...
environ un mois il y a
A résolu
Touchard Polynomial
Return the coefficients of nth (n>=0) Touchard polynomials - T1(x) = x; output = [1 0]; T2(x) = x^2 + x; output = [1 1 0]...
environ un mois il y a
A résolu
Shapiro Polynomials
Given an order n, return the coefficients of 1st Shapiro polynomials Pn(x) - %Example P1(x) = x + 1 => Output = [1 1]; P...
environ un mois il y a
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 ...
environ un mois il y a
A résolu
Padovan Polynomials
Hello there. I'm afraid I bear bad news - Anakin Skywalker is no longer a Jedi. But fear not young Padawan, we shall not falter...
environ un mois il y a
A résolu
Total Area Covered by Overlapping Polygons
Given a variable length set of polygon vertex coordinates, compute the total area covered. For example, take two polygons with t...
environ un mois il y a
A résolu
Stirling Numbers - I
Problems #1388 & #45187 deal with Stirling numbers of the 2nd Kind. Here, generate the Stirling numbers S(n,k) of the 1st kind ...
environ un mois 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 2 mois il y a
A résolu
Dickson Polynomials
Return the coefficients of nth (n>=0) Dickson polynomial of the 1st kind as follows - 1st row of the output will be the coeffi...
environ 2 mois il y a
A résolu
Multiply real numbers to get the smallest integers
Write a function that takes a vector of real numbers and multiplies them by a factor to produce the integers with the smallest a...
environ 2 mois il y a
A résolu
Cumulative Count
Given a row vector of integers with repeating values (with all repeating values occuring in a single continuous run), create an ...
environ 2 mois il y a
A résolu
Grimm's Conjecture
Grimm's conjecture states that to each element of a set of consecutive composite numbers, one can assign a unique prime number t...
environ 2 mois il y a
A résolu
find powers of two
find the unique, non-repeating, powers of 2 that sum to a given non-zero integer, n example: n = 23 result = [1 2 4 16] ...
environ 2 mois il y a
A résolu
Search for seesaw primes
Cody Problem 60958 introduced seesaw numbers. A number is a seesaw number if the next smaller numbers can be placed on a seesa...
2 mois il y a
A résolu
Find the Prime Factors and Divisors of a Number
Given a positive integer n, find its prime factors as well as all of its divisors. Example: n=12 has prime factors [2,2,3] and ...
3 mois il y a
A résolu
List numbers that cannot be expressed as the sum of two primes
The Goldbach conjecture claims that even numbers greater than 2 can be expressed as the sum of two prime numbers. What about the...
3 mois il y a
A résolu
Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?
3 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...
3 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...
3 mois il y a
A résolu
Determine whether a number is a seesaw number
Cody Problem 60957 dealt with balanced primes. In that case, balance was measured in terms of the average of primes around a giv...
3 mois il y a
A résolu
Chek the Delta = 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...
3 mois il y a
A résolu
List balanced primes
A balanced prime of order is one that equals the average of the primes before it and the primes after it. For example, 79 is ...
4 mois il y a
