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Calculate solution of given polynomial
For example, y=function([3 -2 -4]) In here, input vector indicate 3*x^2-2*x-4, y is solution of former equation. y=[1.5...

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Extract the Acrostic Message
An acrostic cipher is a way of embedding one message within another by taking the first (or last) word of each line. Given a str...

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Divide polynomial p1 by p2.
Divide polynomial p1 by p2 given as vectors. Return result q and r vectors which corresponds the quotient and remainder of divis...

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Generate Pascal's Triangle Matrix
Pascal's triangle is an arrangement of numbers where each value is the sum of the values adjacent to it in the previous row: ...

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Solve expression III
Solve expression for given vector x. Expression = (tan(2*x^2+7*x-30.25)+log(x^3-2.25))/(nthroot(sin(x^3)^2+1/5*log(x^4-2.5),3))...

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Solve expression I
Solve expression (1+sin(x))/cos(x)+cos(x)/(1+sin(x)) for given vector x.

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Octoberfest festival
A group of students decided to visit Octoberfest festival. First they ordered one beer, then after half-hour they taken one more...

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Next Tribonacci Number
The "Tribonacci" sequence is an extension of the idea of the Fibonacci sequence: That is, each new term is the sum of the thr...

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Where the Four Corners Am I?
The "Four Corners" region of the US is where Colorado, Utah, Arizona, and New Mexico all meet - the only place where four states...

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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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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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Pascal's Matrix
Given an integer n ≥ 0, generate the ( _n_+1) × ( _n_+1) lower triangular <http://en.wikipedia.org/wiki/Pascal_matrix P...

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Sum of diagonal of a square matrix
If x = [1 2 4; 3 4 5; 5 6 7] then y should be the sum of the diagonals of the matrix y = 1 + 4 + 7 = 12

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Neural Net: Calculate Bias Single Perceptron (AND/NAND/OR/NOR/XOR)
This challenge is to calculate the Neural Net Bias Perceptron vector,P, given X, WH, and WP using ReLU on the hidden layer. Test...

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Differential equations I
Given a function handle |f| an initial condition |y0| and a final time |tf|, solve numerically the differential equation dy...

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linear least squares fitting
Inputs: * |f|: cell-array of function handles * |x|: column vector of |x| values * |y|: column vector of |y| values, same l...

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Project Euler: Problem 8, Find largest product in a large string of numbers
Find the greatest product of five consecutive digits in an n-digit number. 73167176531330624919225119674426574742355349194934...

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Project Euler: Problem 10, Sum of Primes
The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below the input, N. Thank you <http:/...

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Project Euler: Problem 6, Natural numbers, squares and sums.
The sum of the squares of the first ten natural numbers is, 1^2 + 2^2 + ... + 10^2 = 385 The square of the sum of the first ...

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Project Euler: Problem 5, Smallest multiple
2520 is the smallest number that can be divided by each of the numbers from 1 to 10 without any remainder. What is the smalle...

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Project Euler: Problem 3, Largest prime factor
The prime factors of 13195 are 5, 7, 13 and 29. What is the largest prime factor of the number being input, input might be ui...

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Project Euler: Problem 1, Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5, we get 3, 5, 6 and 9. The sum of these multiples is 23...

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An n-sided regular polygon is drawn within a circle whose radius is 'r', what will be the area of the polygon?
area of a polygon is p*a/2. where, p is the perimeter and a is the apothem i.e. the normal distance from center to any of the si...

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ZigZag - 03
Given a matrix of any size, print its elements from the zigzag form of the matrix. For example, a=[1 2 3; 4 5 6; ...

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Replicate elements in vectors
Replicate each element of a row vector (with NaN) a constant number of times. Examples n=2, A=[1 2 3] -> [1 1 2 2 3 3] n=0...

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Set a diagonal
Given a matrix M, row vector v of appropriate length, and diagonal index d (where 0 indicates the main diagonal and off-diagonal...

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Matrix Pattern 7

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Matrix Pattern 6

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Matrix Pattern 3

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Matrix Pattern 4

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