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jumping astronauts
The surface gravity on the moon is approximately 2 m/s^2. Thats why an funny astronauts feels as light as a feather and jumps fr...

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Sum the Infinite Series II
For any x in the range 0 < x and x < 2*pi radians, find the sum of the following infinite series: c = 1 + 1/2*cos(x) + 1/2*3/4...

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Cosine frequency doubler
Given an input vector containing a cosine wave of unknown frequency, produce an output vector of the same length containing a co...

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Decrypt a secret message!
The crypto system in question is based on phone keyboard. We need two numbers in order to decrypt a word. First number represent...

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Book Club
A book club that has _K_ members, as a group, have to read _N_ books. Return how many different ways the members could read the ...

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Original coordinate of the min element of a subset of elements

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Addition
Add together the values of a and b.

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Barnes G-Function
Evaluate the Barnes G-Function at a given (integral) value. %Example 1 in = 1; out = 1; %Example 1 in = 4; out = 2; ...

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The Google Interview: Two Eggs Problem
Consider the following problem, a popular Google interview question: A firm has invented a super-strong egg. For publicity pu...

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Rock Paper Scissors Lizard Spock
Can't decide what to watch on TV? How about settling the dispute with a good old fashioned round of Paper Scissors Lizard Spock ...

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Sample from random roulette
Given a list of values and their probabilities sample 10,000 values. Example: x = [1 2 3 4 5]; prob = [0.2 0.1 0.4 0.1 0.2] ...

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Create a matrix that counts up diagonally
Given a single input _N_, create a _N_ x _N_ matrix that counts from 1 : _N_ ², (along up-right diagonals, starting with 1 in th...

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Pentagonal dodecahedron
<<https://upload.wikimedia.org/wikipedia/commons/7/73/Dodecahedron.gif>> Pentagonal dodecahedron is a dodecahedron that is ...

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Luhn's Algorithm
Luhn's Algorithm is used as a checksum for credit card numbers or similar identifiers. It can detect single-digit changes and sw...

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How many complete pizzas (number 2)
x is a vector with numbers of pizza slices. A corresponding vector n indicates in how many slices the pizza slices of x were cut...

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Portfolio diversification: choose your stocks !
we have the returns of 3 stocks for the last 4 years and we have to combine only 2 stocks that are less correlated. Example: st...

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Sieve of Eratosthenes
Find the nth lucky prime number. <https://planetmath.org/luckyprime> can u find a way for large n?

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XOR fibonacci
a & b are the first two terms in the xor fibonacci sequence. Find the nth term of that sequence. XOR fib sequence is that in ...

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Easy Sequences 30: Nearly Pythagorean Triangles
A Nearly Pythagorean Triangle (abbreviated as "NPT'), is an integer-sided triangle whose square of the longest side, which we wi...

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Locate a family on a long street

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İmage Series 1 OR
Given two input first one is a number which is uint8, second one is image which is 8 bit gray scale image, the image has pixsels...

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Calculate FFT
Calculate the fft manually, without using matlab's builtin function. No cheating allowed.

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Return the sequence element III
This problem is related to <http://www.mathworks.com/matlabcentral/cody/problems/42832-segmented-number-sequence Problem 42832>....

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Polygon division
Given the number of vertices (or sides), n, of a planar convex polygon, return the number of ways, w, in which you can divide th...

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generate a matrix of Legendre polynomials
input = x - the degree of the polynomial output = matrix of Legendre polynomials

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The length of the equal sides of an isoceles triangle is 'a'.For all the possible (integer) values of the remaining side,find the associated angles between the two equal sides.
the remaining side may have many possible values.only assume integer ones for simplicity.

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4 Digit Sequence Repetitions
Given a 4 digit integer, a sequence can be created such that the next digit in the sequence is the ones digit from the sum of th...

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Kurosu checker
The game of Kurosu is simple. A square grid contains cells that can be filled with either a 'X' or an 'O', similarly to a tic-ta...

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Top layer of a 3D pyramid
create a 3D pyramid(x,y,z) of ones(1) and zeros(0)...where pyramid part is denoted by one....nd find the top layer(x,y) of the p...

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Check Digit - 01
The International Standard Book Number (ISBN) is a numeric commercial book identifier that is intended to be unique. It used ...

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