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Generate this matrix
For a given odd integer n, generate a matrix as follows: Input: n = 5; Output: [ 2 1 0 0 0 1 ...

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Change the sign
Given a matrix x, return one with each diagonal element replaced by its absolute value and the largest element in absolute value...

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Replace Nonzero Numbers with 1
Given the matrix x, return the matrix y with non zero elements replaced with 1. Example: Input x = [ 1 2 0 0 0 ...

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Mobius function
From <http://en.wikipedia.org/wiki/Möbius_function wikipedia>: For any positive integer n, define μ(n) as the sum of the prim...

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Not square-free number sequence
<http://oeis.org/A013929 Not square-free numbers> are all positive integers divisible by a square greater than one: 4, 8, 9, 12,...

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Sphenic number sequence
<http://oeis.org/A007304 Sphenic numbers> are positive integers that are products of three distinct prime numbers: 30, 42, 66, 7...

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Twin Primes
Twin primes are pairs of primes that are immediately next to each other (difference of two). The lesser of twin primes are 3, 5,...

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Repeat The Components of Matrix
Repeat The components of a matrix so that the size of the output matrix is double to input matrix and components are repeated ne...

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LASER Tracker - Mirror Distance and Angle
Determine the mirror's distance and relative angle to the LASER Tracker given the distances to a reference SMR (Spherical Mounte...

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SHIFT REGISTER
INPUT IS DECIMAL NUMBER. CONVERT IT INTO A BINARY SEQUENCE. THEN SHIFT THE SEQUENCE BY AN AMOUNT OF GIVEN NUMBER OF BITS. FOR E...

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Find out DC Gain of transfer function
Find out DC Gain of transfer function Example, G(s)=5/ (s+2), then DC gain is 2.5 (put s=0)

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Array ex-OR
There are in MATLAB logical functions such as _<http://www.mathworks.co.uk/help/matlab/ref/and.html and>,_ _<http://www.math...

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Matrix Generation.
if input n =1, generate a matrix y = [1]

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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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Implement full adder circuit
Implement full adder circuit as given in <http://en.wikipedia.org/wiki/Adder_(electronics)> Inputs signals are a, b and ...

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Find the optimal shape to bring the maximum product by a given perimeter
Find the optimal shape (with N sides) to bring the maximum product of the sides length, by a given perimeter. Example: Assumin...

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Convert Hard Drive marketing sizes to actual data sizes
Hard drive sizes are typically marketed using the decimal meaning of prefixes, whereas RAM uses binary meanings. For example: ...

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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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Find the right x in a 1. order Polynomal (y = m*x+c)
Given two points in a Cartesian coordinate system, find the x-value, where polynomial of 1. order (y = m*x+c) is equal to a giv...

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Path calculation with polynomials
Let a vector x be the input to our function. 1. If a value of an input vector element x is lower than 0, set this value to 0....

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Radial Zernike polynomials
Given an integer _n_ &ge; 0 and an integer _m_ &ge; 0, generate the <http://en.wikipedia.org/wiki/Zernike_polynomials radial Zer...

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Chebyshev polynomials of the 2nd Kind
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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Chebyshev polynomials of the 1st Kind
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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Generalized Laguerre polynomials
Given an integer _n_ &ge; 0 and a scalar _a_, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials#Generalized...

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Dots in a Sphere
Return how many integer grid points there are inside a 3D sphere of radius _r_ centred at (0,0,0) (including points on the edge)...

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Convolution Power
Create the convolution-power vector from initial vector _x_ and power _n_. In other words, similar to the scalar case, raising ...

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Legendre polynomials
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Legendre_polynomials Legendre polynomial>. *Ex...

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Laguerre polynomials
Given an integer _n_ &ge; 0, generate the _n_-th <http://en.wikipedia.org/wiki/Laguerre_polynomials Laguerre polynomial>. *Ex...

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Hermite Polynomials
Return the _n_-th <http://en.wikipedia.org/wiki/Hermite_polynomials Hermite polynomial> of the physicists' type. Assume that ...

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How many rectangles in a grid ?
How many rectangles are there in an m × n grid ? For example, if m=1 & n=2, we have 3 rectangles.

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