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Easy Sequences 3: Prime 44-number Squares
The positive integers 62 and 238 are related. Their squares (3844 and 56,644) both end in '44'. In fact, 62 and 238 are the 3rd ...

2 months ago

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Easy Sequences 2: Trigonometric function with integral input and output
The function 'F', defined as: , will always return an integer if the input is a natural number (in radian...

2 months ago

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Easy Sequences 1: Find the index of an element
The nth element of a series is defined by: . Obviously, the first element . Given the nth element , find the value of the corre...

2 months ago

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Basic arrays operations.
Apply element-by-element binary operation 'fun' to two arrays (A and B).

3 months ago

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A matrix of extroverts
Now that the introverts have had their script, the extroverts spoke up (naturally!) and demanded one as well. You will be given...

3 months ago

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Find the Pattern 1

3 months ago

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Make an awesome ramp for a tiny motorcycle stuntman
Okay, given a vector, say v=[1 3 6 9 11], turn it into a matrix 'ramp' like so: m=[1 3 6 9 11; 3 6 9 11 0; 6 9 ...

3 months ago

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How long is the longest prime diagonal?
Stanislaw Ulam once observed that if the counting numbers are arranged in a spiral, the prime numbers contained in it form a sur...

3 months ago

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Solitaire Cipher
Implement the <http://en.wikipedia.org/wiki/Solitaire_(cipher) solitaire cipher>. Since this is from Wikipedia, I am capturin...

3 months ago

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How many trades represent all the profit?
Given a list of results from trades made: [1 3 -4 2 -1 2 3] We can add them up to see this series of trades made a profit ...

3 months ago

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"Look and say" sequence
What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

3 months ago

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Sum the Infinite Series
Given that 0 < x and x < 2*pi where x is in radians, write a function [c,s] = infinite_series(x); that returns with the...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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 ...

3 months ago

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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 ...

3 months ago

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(Linear) Recurrence Equations - Generalised Fibonacci-like sequences
This problem is inspired by problems <http://uk.mathworks.com/matlabcentral/cody/problems/2187-generalized-fibonacci 2187>, <htt...

3 months ago

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Construct a prime circle
A <https://mathworld.wolfram.com/PrimeCircle.html prime circle> is a circular arrangement of the numbers 1 to 2n such that pairs...

3 months ago

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Play PRIMEGAME
Have you ever used the Sieve of Eratosthenes and said, "I wonder whether there’s a less efficient way to find prime numbers."? N...

3 months ago

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Golomb's self-describing sequence (based on Euler 341)
The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...

4 months ago

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find the roots of a quadratic equation
for e.g x = [ 2 -1 -3] y = [1.5 -1]

4 months ago

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Two fractions, one sum
Given a positive number x, write a MATLAB script that will tell you how many ways that the reciprocal of that number can be writ...

4 months ago

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Make a simplified barcode
Given an integer to encode, make a barcode using the following encoding scheme: * The bar code is made from the binary versio...

4 months ago

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Evened up (or not)
You will be provided with an array or matrix that contains various numbers, in addition to an evening variable, e, set to 1 or 0...

4 months ago

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De-primed
Write a function that will multiply every prime number in the array or matrix by two, leaving all other numbers the same, and re...

4 months ago

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Eye Squared
For a positive integer |n| create the identity matrix with |n| elements. In case it is not possible to produce an identity ma...

8 months ago

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Calculate the derivative of a polynomial
Example: in = [ 1 1 1 ] out = [ 2 1 ]

8 months ago