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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...

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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...

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

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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 ...

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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 ...

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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: ...

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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...

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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...

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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...

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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...

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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...

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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...

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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 ...

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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...

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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...

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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...

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

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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...

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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...

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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...

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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...

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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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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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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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Frequencies of prime gaps
Problem statement Given two positive integers n and , write a function which computes the frequency of the gap between two ...

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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...

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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 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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