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Sum the reciprocals of polygonal numbers
As explained in Cody Problem 60571, a polygonal number is the number of dots arranged in the shape of a regular polygon. For exa...

3 months ago

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Find polygonal numbers that are Blum integers
A polygonal number is the number of dots arranged in the shape of a regular polygon. For example, 15 is a triangular number beca...

3 months ago

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Compute the antisigma function
The sum of divisors function, or , is the sum of the numbers that divide . The antisigma function is the sum of numbers less tha...

3 months ago

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Compute the saturation concentration for dissolved oxygen in water
As organic matter from wastewater decomposes, it consumes oxygen, and an assessment of the effect of a wastewater discharge on t...

3 months ago

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Neural Net Image Convolution: Return only Valid portion of conv2
This challenge is to return only the Valid portion of a 2-D convolution. Valid is deemed to be where all elements of the kernel ...

3 months ago

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Minimize a quadratic function
Write a function to minimize the function . The coefficients a, b, and c will be positive. Give the coefficients in a vector coe...

3 months ago

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Mandelbrot Number Test [Real+Imaginary]
The <http://en.wikipedia.org/wiki/Mandelbrot_set Mandelbrot Set> is built around a simple iterative equation. z(1) = c z...

3 months ago

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ICFP 2024 Programming Contest June 28 thru July 1
This is to announce the annual ICFP programming contest for 2024. The ICFP 2024 homepage link is ICFP 2024 . Registration will...

3 months ago

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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 : ...

3 months ago

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Greater than before
Given an array of integers, write a function that returns elements that are greater than the one before them. For instance, ...

3 months ago

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Hemisphere Volume on Top of a Cylinder
This MATLAB function has to calculate the volume of a hemisphere placed on top of a cylinder, given valid inputs. It takes the r...

3 months ago

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ICFP2024 010: Lambdaman Optimal-Crawler-Backfill
The ICFP2024 contest was held June29 thru July 1. The contest consisted of five parts: ICFP Language, Lambdaman maze, Starship f...

3 months ago

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Palindrome Checker
Create a MATLAB function that checks whether a given string is a palindrome or not. A palindrome is a word, phrase, number, or o...

3 months ago

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counting for loop
Complete the function below using a for loop to count from 3 to N by 2. For example, if N is 10, count 3, 5, 7, 9 and stop. Fo...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 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 ...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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 : ...

3 months ago

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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 months ago

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Generate Bernoulli polynomials
The Bernoulli polynomial is a polynomial of order with the properties that and for , where the prime denotes differentiat...

3 months ago

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Classify numbers as abundant, deficient, or perfect
A number is perfect if the sum of its proper divisors (i.e., divisors excluding the number itself) is equal to itself. For examp...

3 months ago

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Basic Mathematics 8
A robot is extending its arm and attempting to reach a game piece that is X” away and Yg ” off the ground. The base of the arm i...

3 months ago

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ICFP2024 001: Lambdaman 6
The ICFP2024 contest was held June29 thru July 1. The contest consisted of five parts: ICFP Language, Lambdaman maze, Starship f...

3 months ago

Solved

Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

3 months ago

Problem

Pseudo-Zernike Polynomials
Problem #1476 deals with Radial Zernike Polynomials. Here, generate the Pseudo-Zernike Polynomials for a given order n and degr...

3 months ago | 0 | 5 solvers