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Center-of-Mass Index of a Vector
Given a numeric vector x, treat each element x(i) as a mass located at index i. Compute the center-of-mass index idx = sum(i *...

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First Unique Character
Given a character vector s, return the first character that appears exactly once in s. If every character repeats at least once...

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Upper vs Lower Triangle
Create an n × n matrix A such that: Elements strictly above the main diagonal are 1 Elements strictly below the main diagonal ...

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Odd Run Sums
Given a row vector x of integers, find every maximal run of consecutive odd numbers and return a row vector containing the sum o...

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Mirror Pair Mean
Given a row or column vector v, create a vector y of the same size where each element is replaced by the average of itself and i...

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Generate Secret Key for Cryptography
From a seed file (code.wav), decode the audio file (Bell 202 format at 200 bits/sec) into a binary stream and then convert the b...

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Moving Movsum
Given a vector (x) and a window (y), calculate the sum s(k) corresponding to k-y(k)+1:k values of x %%Example 1 x = [1 2 3 4...

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Compute the Dedekind psi function
Write a function to compute the Dedekind psi function. The values for n = 1, 2, 3, 4, 5, and 6 are 1, 3, 4, 6, 6, and 12.

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Determine when iterations of phi(psi(x)) repeat
Cody Problem 656 introduced the Euler totient function , which counts the number of integers smaller than that are relatively...

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Enclosure Matrix
The problem gives you a positive integer n. You need to create a matrix consisting of n layers of natural numbers; the outermost...

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Mandelbrot Set Generator Class
Create a class Mandelbrot that computes the Mandelbrot set on a given complex plane window. The Mandelbrot set is defined by it...

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Radioactive Decay Chain
A radioactive decay chain consists of a series of nuclides, each decaying into the next. Suppose we have a chain of N isotopes:...

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Compute MOSFET oxide thickness
Calculate the oxide thickness in nanometers for an NMOS on a p-type substrate. Inputs (all scalars): NA — acceptor concentrat...

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Express base-10 integers in lazy binary
The binary (or base-2) representations of a number n can be constructed as follows: Step 1: If n = 0, then the binary represent...

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How tall will my cactus be?
My Barbed Wire Cactus is a desert cactus that relies on just the right amount of rainfall to stay healthy. Given a 1×12 vector...

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Find Solutions to Edge-Matching Puzzles
I was intrigued by some edge-matching puzzles I came across when visiting my parents over Thanksgiving. "An edge-matching puzzle...

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Escape from Planet ....
Given a Planets mass M, and raduis r. Calculate the surface escape velocity and the escape velocity at height h. and the diff...

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Multiplying the Sums of Two Arrays
Get two arrays, add the values within the array up, and then multiply the two total values. [2,3]*[3,6] 5*18 90

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Mach Number Calculator
Create a solver which converts a speed in km/s to a Mach Number Round to 2 decimal places Requires: Mach Number Formula (ea...

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Linearly Spaced Array
Create a linearly spaced array from 0 to x consisting of y elements.

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Sum of even numbers in a vector
Write a function that takes a vector of numbers and returns the sum of all the even numbers in the vector.

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Apply the planing transform to natural numbers
Claude Lenormand’s planing (or raboter, in French) transform removes one element from each run in a sequence; that is, imagine a...

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Calculating Swimming Stroke Index (SI)
In competitive swimming, speed () is only one part of the equation. High efficiency is defined by moving fast while maintaining ...

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FEN Chess Notation
Note: This problem is the reverse, or complement, of Problem 61155 - FEN to Chess Board. Given an 8-by-8 character matrix repre...

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Convert a diagonal representation of a matrix element to linear index or subscripts
Elements in matrices in MATLAB can be retrieved by linear index or subscripts. For example, the 1 in the matrix below has a line...

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Determine whether a number is a repfigit number
A sequence of numbers is constructed from a number with the following steps: List the digits of . Compute the ()st term as t...

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Extract numbers using a decaying sieve
The Sieve of Eratosthenes is one method of determining primes. Starting with 2, one keeps 2 and removes 2x2, 3x2, 4x2, etc. Then...

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Find the Nth number in the 8-sequence
Find the Nth number in the 8-sequence. 8, 16, 24, 32, 48, 56, 64, 72, 88, ... Hint: Refer test suites

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Find the Nth number in the 7-sequence
Find the Nth number in the 7-sequence. 7, 14, 21, 28, 35, 42, 49, 56, 63, 77, 84, ... Hint: Refer test suites

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Find the Nth number in the 6-sequence
Find the Nth number in the 6-sequence. 6, 12, 18, 24, 36, 42, 48, 54, 66, ... Hint: Refer test suites

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