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Six Steps to PCA - Step 2: Covariance
*Previous problems in this series* * <http://www.mathworks.co.uk/matlabcentral/cody/problems/2043-six-steps-to-pca-step-1-cen...

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Give a matrix that matches itself when rotated
Given n and s, return a n-by-n matrix a of integers such that sum(sum(a == rot90(a))) is equal to exactly s. The integer...

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Encoding Google Maps Polylines
This problem is based on the Google Polyline Encoder algorithm. This is how Google Maps encodes a line for display on a map. You...

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Get to a number faster.
If you start with $1 and, with each move, you can either double your money or add another $1, what is the smallest number of mov...

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Quine : write a quine in MATLAB
Quine is a type of program whose output matches the source code. See: <https://en.wikipedia.org/wiki/Quine_(computing) Quine in...

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Play Games of Beggar My Neighbor
Beggar my neighbor, as it is most commonly referred to, is a simple deterministic card game. A standard 52 card deck is shuffled...

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Compute the comma transform of an integer sequence
Consider the sequence formed by the multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171, 190, 209, 228,… A new sequence ca...

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Convert sorting indices to ranks

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Fast Fourier transform algorithm
Your task is to implement the Fast Fourier transform algorithm, without using builtin MATLAB fft commands e.g. fft, fft2, or har...

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Find the centre of an arc and its radius
Given two points on an arc (x0,y0) and (x1,y1) and the angle between them, alpha. Return the centre of the circle and the radiu...

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X O X Oh!
_This follows on from problem 44850 - X O X O_ <https://www.mathworks.com/matlabcentral/cody/problems/44850-x-o-x-o> On a...

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Moving Median Absolute Deviation
The median absolute deviation (MAD) is defined as MAD = median(abs(A − median(A))) for a rolling window of length n. For examp...

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Writing Error Messages
Well written functions check inputs to make sure the input is valid. The function ErrorCheck takes three arguments: * a - a s...

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Exact binary matrix factorization
Given a binary-valued (only ones and zeroes) MxN matrix C, and K (where K<M and K<N) find a binary-valued MxK matrix A and a bin...

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rot45 : a different aproach
Inspired by problem 1840. http://www.mathworks.com/matlabcentral/cody/problems/1840-rotate-matrix-clockwise-45-degree Given an...

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Design matrix from eigenvalues
Write a function that takes one input argument n and outputs a (n x n) square matrix A with the following properties: -A has...

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Mix it up!
Given an input string S, return a new string B, that is created by taking one character from the front and then the end iterativ...

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Check if integer is a prime number
Check if integer i is a prime number. Returns logical true '1' if it is.

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Find the repeating decimal pattern!
Write a function that takes one double input value and returns only the repeating decimal, if any, as a string. Only decimals f...

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Circle and Quadratic
Imagine the quadratic curve with equation y=y(x)=ax^2+bx+c On the concave side of this curve there is a circle of radius...

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Remove TeX from string
Matlab’s TeX support in figure windows is great for displaying information in a visually appealing way. However, many of the TeX...

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Pixel density
<https://en.wikipedia.org/wiki/Pixel_density Pixel density> tells us how many pixels we can find within a unit of length. And a...

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Create the Ulam spiral
Have you ever seen this wonderful spiral ? The Ulam Spiral is arranging prime numbers in a clockwise spiral starting in 0. Give...

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Wavy gravity
In a parallel universe the gravity works very strangely. Indeed, gravity is equal to: g = sin( (pi/2)*t/60 ) [m/s^2], where t i...

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Who am I ?
Who am I ? Write any function that reveals itself under these constraints. Hint: I am combinatorial code, and I don't like stat...

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Beat the RNG - EASY

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LIFO Validation
Write a function to check whether a LIFO (Last In First Out) restriction on inventory is violated. We have two input vectors ...

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Create nXn Fourier matrix

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Higher! Lower! Correct!
In he game of "Guess the number", the game leader mentally pictures a number between a lower and higher number, and then asks th...

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