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How to get the additive inverse of a uint8.
Given x as a uint8 find the additive inverse y.

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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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Secret Message and Acrostic
One of the simplest ways to hide a message involves utilizing uppercase letters. Given a text, collect all uppercase letters in...

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Sum of Dividend Digits
Find the smallest number that consist of only number 1's (e.g. 11111111111) which satisfy a given divisor and remainder. Then re...

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Sum of digit range
Example: If A is n1, and B is n2 digit positive numbers. A*B's digit range will be [c d] (c = min & d = max). Then return ...

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Logarithm with base other than 'e'
The standard log() function in Matlab returns the natural logarithm (base equal to Euler's constant). Compute the logarithm for ...

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With apologies to William Blake
Coder Coder, typing fast Sitting at your desk, aghast. What immortal MATLAB script will solve this problem, nice and qu...

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Combination of Vectors
Return a combination of vectors x1, x2 based on y1, y2 per: x(j) = 0 if y1(j) < y2(j) x(j) = x1(j) if y1(j)...

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Put all numbers in a string inside square brackets
Examples: 'left3down2' -> 'left[3]down[2]' 'fiat500' -> 'fiat[500]'

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Explode string
Break a sentence into cell of words

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Sort vector by number of prime factors of each element
Sort a given array based on how many prime factors each term has. Sort from least to greatest and output original values. Ex: ...

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Find the number that has most primes those less than it
Given an vector x of integer numbers, find the element of x that has the most primes less than it.

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Pluralization
Define function plu(n) that returns '' (an empty string) if n=1, or 's' otherwise. This is handy for displaying messages from a...

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How long does it take to run a bath?
Given the *volume flow rate* (volume/time) of a faucet and the *volume* of a bath tub, find the amount of time it takes to fill ...

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Carnot cycle
Carnot engine is considered the most efficient heat engine.When operated between two temperatures T1 and T2, the efficiency is g...

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Find the Peak Particle Velocity on a ETL structure
PPV is a vibration parameter that can connect stress to a structure, it is measured in mm/s or mm/s-1. The higher the PPV the mo...

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Calculate the Voltage Through a Step-Up Transformer
Given a step-up transformer has a primary coil with A number loops, a secondary coil with B number loops, and a primary voltage ...

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Convert decimal to hex as shown in test cases
Convert decimal to hex as shown in test cases.

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Try and Catch Simple Example
Try and Catch Simple Example <http://in.mathworks.com/help/matlab/ref/try.html Example> Vector x=[1 4 6 8 10]; Create...

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Sum of Even Fibonacci Numbers
Description: The Fibonacci sequence is defined as follows:F(1)=1,F(2)=1,F(n)=F(n−1)+F(n−2) for n>2 Write a function that compu...

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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...

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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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Estimating Monthly Electricity Cost for a Household Appliance
You recently bought an electric kettle for your kitchen, and you want to estimate how much it costs to run every month. The kett...

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Calculate Current in a Series Circuit Using KVL
Kirchhoff's Voltage Law (KVL) states that the sum of voltages around a closed loop is zero. Given a voltage source (V) and three...

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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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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...

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Inductor Energy Storage Calculation
The energy (EEE) stored in an inductor is given by the formula: Where: E is the energy in joules (J) L is the inductance in...

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Calculate Charge Using Capacitance and Voltage
The charge (Q) stored in a capacitor is given by the formula:Q=C×V where: C is the capacitance (in farads) V is the voltage (...

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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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