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Return how many integer grid points there are inside a circle of radius _r_ centred at (0,0) (including points on the edge). ...

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2 years ago

Hi Development Team, Regarding your solution: I fear that it is not useful, since it is an overkill. I mean, it is valid and ...

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Responded 3 years ago

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4 years ago

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

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Return the volume of a <http://en.wikipedia.org/wiki/Simplex regular _n_-simplex> with a unit side length. Results are up to...

Return the number of edges on an <http://en.wikipedia.org/wiki/Hypercube _n_-dimensional hypercube> (with an integer n ≥ 0). ...

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

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

Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Chebyshev_polynomials Chebyshev polynomial of the...

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)...

A little warm-up to begin... An n-digit number is pandigital if it makes use of all the digits 1 to n exactly ONCE. For ex...

3 months ago

After Problems <http://www.mathworks.com/matlabcentral/cody/problems/3054-chess-elo-rating-system/ 3054> and <http://www.mathwor...

The difference in the ratings between two players serves as a predictor of the outcome of a match (the <http://en.wikipedia.org/...

The Elo rating system is a method for calculating the relative chess skill levels of players in competitor-versus-competitor gam...

Implement the <http://en.wikipedia.org/wiki/Solitaire_(cipher) solitaire cipher>. Since this is from Wikipedia, I am capturin...

4 months ago

The spin of a particle is a fundamental property in quantum physics. We shall inspect below matrix representations of such spin...

1 year ago

A cylinder H cm high has a circumference of C cm. A string makes exactly N complete turns round the cylinder while its two ends ...

Given three positive numbers a, b, c, where c is the largest number, return *true* if the triangle with sides a, b and c is righ...

Given short sides of lengths a and b, calculate the length c of the hypotenuse of the right-angled triangle. <<http://upload....

An isosceles triangle has equal sides of length x and a base of length y. Find the area, A, of the triangle. <<http://upload...

Calculate the length of the short side, a, of a right-angled triangle with hypotenuse of length c, and other short side of lengt...

Given any three positive numbers a, b, c, return true if the triangle with sides a, b and c is right-angled. Otherwise, return f...

The longer side of a rectangle is three times the length of the shorter side. If the length of the diagonal is x, find the width...

Calculate the area of an equilateral triangle of side x. <<http://upload.wikimedia.org/wikipedia/commons/e/e0/Equilateral-tr...

If a rhombus has diagonals of length x and x+1, then what is the length of its side, y? <<http://upload.wikimedia.org/wikipe...

If an equilateral triangle has area A, then what is the length of each of its sides, x? <<http://upload.wikimedia.org/wikipe...

Given four different positive numbers, a, b, c and d, provided in increasing order: a < b < c < d, find if any three of them com...

A sequence of triangles is constructed in the following way: 1) the first triangle is Pythagoras' 3-4-5 triangle 2) the s...

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