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

20 days ago

Solved

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

20 days 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,...

20 days ago

Solved

Compute the tersum
The tersum, which appears in certain mathematical games, involves adding two numbers in base 3 without carry and converting back...

21 days ago

Solved

Estimating Battery Lifetime Based on Load Profile and Depth of Discharge (DoD)
In a Battery Management System (BMS), the lifetime of a battery depends on various factors, including the Depth of Discharge (Do...

21 days ago

Solved

Estimating the Range of an Electric Vehicle (EV)
In Electric Vehicles (EVs), the driving range is the estimated distance a vehicle can travel on a fully charged battery. The ran...

21 days ago

Solved

Estimating Battery Backup Time for an Inverter
In a Battery Management System (BMS), estimating the backup time of a battery-powered inverter helps determine how long it can s...

21 days ago

Solved

Battery Charge Rate Calculation
In a Battery Management System (BMS), the charge rate () of a battery can be calculated using the formula: where: is th...

21 days ago

Solved

Battery State of Health (SoH) Calculation
In a Battery Management System (BMS), the State of Health (SoH) of a battery is an indicator of its overall condition. It is cal...

21 days ago

Solved

Battery Charge Efficiency Calculation
In a Battery Management System (BMS), the efficiency of battery charging can be estimated using the formula: where: is the...

21 days ago

Solved

Battery Voltage Drop Estimation
In a Battery Management System (BMS), the voltage drop (V_drop) due to the load can be calculated using the formula:V_drop=I×R ...

21 days ago

Solved

Battery Discharge Time Estimation
In a Battery Management System (BMS), the estimated discharge time (T) of a battery can be calculated as: where: is the ...

21 days ago

Solved

State of Charge (SoC) Estimation for a Battery
The State of Charge (SoC) of a battery represents its remaining charge as a percentage. It can be calculated using the formula: ...

21 days ago

Solved

Battery Life Estimation for a Device
A battery-powered device consumes a constant current while operating. The estimated battery life (T) can be calculated using the...

21 days ago

Solved

Extend the digamma function to negative arguments
While solving one of Ramon Villamangca’s problems, I needed the value of , where is the digamma function. However, MATLAB’s fun...

24 days ago

Solved

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...

25 days ago

Solved

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...

25 days ago

Solved

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...

25 days ago

Solved

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...

25 days ago

Solved

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 ...

25 days ago

Solved

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...

26 days ago

Solved

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...

26 days ago

Solved

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...

26 days 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 : ...

27 days ago

Solved

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

27 days ago

Solved

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...

27 days ago

Solved

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...

27 days ago

Solved

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...

27 days ago

Solved

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...

27 days ago

Solved

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...

28 days ago