# ilo fontana

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Solved

Kepler's Equation

Solve <http://en.wikipedia.org/wiki/Kepler's_equation Kepler's Equation>. Note that the solution is rounded down to 5 decima...

2 years ago

Solved

Radial Zernike polynomials

Given an integer _n_ ≥ 0 and an integer _m_ ≥ 0, generate the <http://en.wikipedia.org/wiki/Zernike_polynomials radial Zer...

2 years ago

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Legendre polynomials

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

2 years ago

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Generalized Laguerre polynomials

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

2 years ago

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Laguerre polynomials

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

2 years ago

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Ackermann's Function

Ackermann's Function is a recursive function that is not 'primitive recursive.' <http://en.wikipedia.org/wiki/Ackermann_fun...

2 years ago

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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 ...

3 years ago

Solved

Diophantine Equations (Inspired by Project Euler, problem 66)

Consider the quadratic Diophantine equation of the form: x^2 – Dy^2 = 1 When D=13, the minimal solution in x is 649^2 – 13...

3 years ago

Solved

Calculate Euler's phi function

Compute the Euler's phi function of a large integer. For more information about this topic please visit: <https://en.wikiped...

3 years ago

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Magic is simple (for beginners)

Determine for a magic square of order n, the magic sum m. For example m=15 for a magic square of order 3.

3 years ago

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Make a random, non-repeating vector.

This is a basic MATLAB operation. It is for instructional purposes. --- If you want to get a random permutation of integer...

3 years ago

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Roll the Dice!

*Description* Return two random integers between 1 and 6, inclusive, to simulate rolling 2 dice. *Example* [x1,x2] =...

3 years ago

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Number of 1s in a binary string

Find the number of 1s in the given binary string. Example. If the input string is '1100101', the output is 4. If the input stri...

3 years ago

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Return the first and last character of a string

Return the first and last character of a string, concatenated together. If there is only one character in the string, the functi...

3 years ago

Solved

Getting the indices from a vector

This is a basic MATLAB operation. It is for instructional purposes. --- You may already know how to <http://www.mathworks....

3 years ago

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Check if number exists in vector

Return 1 if number _a_ exists in vector _b_ otherwise return 0. a = 3; b = [1,2,4]; Returns 0. a = 3; b = [1,...

3 years ago

Solved

Swap the input arguments

Write a two-input, two-output function that swaps its two input arguments. For example: [q,r] = swap(5,10) returns q = ...

3 years ago

Solved

Reverse the vector

Reverse the vector elements. Example: Input x = [1,2,3,4,5,6,7,8,9] Output y = [9,8,7,6,5,4,3,2,1]

3 years ago

Solved

Generate a vector like 1,2,2,3,3,3,4,4,4,4

Generate a vector like 1,2,2,3,3,3,4,4,4,4 So if n = 3, then return [1 2 2 3 3 3] And if n = 5, then return [1 2 2...

3 years ago

Solved

Maximum value in a matrix

Find the maximum value in the given matrix. For example, if A = [1 2 3; 4 7 8; 0 9 1]; then the answer is 9.

3 years ago

Solved

Rosenbrock's Banana Function and its derivatives

Write a function to return the value of <http://en.wikipedia.org/wiki/Rosenbrock_function Rosenbrock's two-dimensional banana fu...

3 years ago

Solved

Integer Sequence - II : New Fibonacci

Crack the following Integer Sequence. (Hints : It has been obtained from original Fibonacci Sequence and all the terms are also ...

3 years ago

Solved

Integer sequence - 2 : Kolakoski sequence

Get the n-th term of <https://oeis.org/A000002 Kolakoski Sequence>.

3 years ago

Solved

Golomb's self-describing sequence (based on Euler 341)

The Golomb's self-describing sequence {G(n)} is the only nondecreasing sequence of natural numbers such that n appears exactly G...

3 years ago

Solved

Square Digits Number Chain Terminal Value (Inspired by Project Euler Problem 92)

Given a number _n_, return the terminal value of the number chain formed by summing the square of the digits. According to the P...

3 years ago

Solved

Is X a Fibonacci Matrix?

In honor of Cleve's new blog and post: <http://blogs.mathworks.com/cleve/2012/06/03/fibonacci-matrices/> Is X a Fibonacci ...

3 years ago

Solved

"Look and say" sequence

What's the next number in this sequence? * [0] * [1 0] * [1 1 1 0] * [3 1 1 0] * [1 3 2 1 1 0] This a variant on the w...

3 years ago

Solved

Sum of first n terms of a harmonic progression

Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

3 years ago

Solved

Return the Fibonacci Sequence

Write a code which returns the Fibonacci Sequence such that the largest value in the sequence is less than the input integer N. ...

3 years ago