# Luca Balbi

### Esaote spa

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Solved

Find the next Fibonacci number

In the sequence of Fibonacci numbers, every number is the sum of the two preceding ones: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55...

ungefär ett år ago

Solved

Integer sequence - 2 : Kolakoski sequence

Get the n-th term of Kolakoski Sequence.

ungefär ett år ago

Solved

First non-zero element in each column

For a given matrix, calculate the index of the first non-zero element in each column. Assuming a column with all elements zero i...

ungefär ett år ago

Solved

Project Euler: Problem 4, Palindromic numbers

A palindromic number reads the same both ways. The largest palindrome made from the product of two 2-digit numbers is 9009 = 91 ...

mer än ett år ago

Solved

Pair Primes

Let's define pair primes as follow; * *For 2 digits numbers:* 11 and 17 are pair primes because both of them are 2 digits pri...

mer än 2 år ago

Solved

Project Euler: Problem 18, Maximum path sum I

By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bott...

mer än 2 år ago

Solved

Numbers spiral diagonals (Part 2)

Inspired by Project Euler n°28 and 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the right ...

mer än 2 år ago

Solved

Numbers spiral diagonals (Part 1)

Inspired by Project Euler n°28 et 58. A n x n spiral matrix is obtained by starting with the number 1 and moving to the right...

mer än 2 år ago

Solved

Sums of cubes and squares of sums

Given the positive integers 1:n, can you: 1. Compute twice the sum of the cubes of those numbers. 2. Subtract the square...

mer än 2 år ago

Solved

Remove the polynomials that have positive real elements of their roots.

The characteristic equation for a dynamic system is a polynomial whose roots indicate its behavior. If any of the roots of the p...

mer än 2 år ago

Solved

Interpolator

You have a two vectors, a and b. They are monotonic and the same length. Given a value, va, where va is between a(1) and a(end...

mer än 2 år ago

Solved

Champernowne Constant

The <http://en.wikipedia.org/wiki/Champernowne_constant Champernowne constant> is a real number whose digits in decimal represen...

mer än 2 år ago

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Is it an Armstrong number?

An Armstrong number of three digits is an integer such that the sum of the cubes of its digits is equal to the number itself. Fo...

mer än 2 år ago

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P-smooth numbers

This Challenge is to find <https://en.wikipedia.org/wiki/Smooth_number P-smooth number> partial sets given P and a max series va...

mer än 2 år ago

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Fermat's Last Theorem - Fermat's conjecture

Fermat's Last Theorem (sometimes called Fermat's conjecture, especially in older texts) states that no three positive integers a...

mer än 2 år ago

Solved

Happy 2013...

Happy 2013, everyone! An interesting tidbit about 2013 is that it is the first year since 1987 to contain four different digits...

mer än 2 år ago

Solved

Largest Twin Primes

<http://en.wikipedia.org/wiki/Twin_prime Twin primes> are primes p1, p2 = p1 + 2 such that both p1 and p2 are prime numbers. Giv...

mer än 2 år ago

Solved

Lychrel Number Test (Inspired by Project Euler Problem 55)

The task for this problem is to create a function that takes a number _n_ and tests if it might be a Lychrel number. This is, re...

mer än 2 år ago

Solved

Find MPG of Lightest Cars

The file |cars.mat| contains a table named |cars| with variables |Model|, |MPG|, |Horsepower|, |Weight|, and |Acceleration| for ...

mer än 2 år ago

Solved

Rescale Scores

Each column (except last) of matrix |X| contains students' scores in a course assignment or a test. The last column has a weight...

mer än 2 år ago

Solved

Calculate Inner Product

Given two input matrices, |x| and |y|, check if their inner dimensions match. * If they match, create an output variable |z|...

mer än 2 år ago

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Find the Best Hotels

Given three input variables: * |hotels| - a list of hotel names * |ratings| - their ratings in a city * |cutoff| - the rat...

mer än 2 år ago

Solved

Crop an Image

A grayscale image is represented as a matrix in MATLAB. Each matrix element represents a pixel in the image. An element value re...

mer än 2 år ago

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Calculate BMI

Given a matrix |hw| (height and weight) with two columns, calculate BMI using these formulas: * 1 kilogram = 2.2 pounds * 1 ...

mer än 2 år ago

Solved

Plot Damped Sinusoid

Given two vectors |t| and |y|, make a plot containing a blue ( |b| ) dashed ( |--| ) line of |y| versus |t|. Mark the minimum...

mer än 2 år ago

Solved

Calculate a Damped Sinusoid

The equation of a damped sinusoid can be written as |y = A.ⅇ^(-λt)*cos(2πft)| where |A|, |λ|, and |f| ...

mer än 2 år ago

Solved

Solve a System of Linear Equations

Example: If a system of linear equations in x₁ and x₂ is: 2x₁ + x₂ = 2 x₁ - 4 x₂ = 3 Then the coefficient matrix (A) is: 2 ...

mer än 2 år ago

Solved

Verify Law of Large Numbers

If a large number of fair N-sided dice are rolled, the average of the simulated rolls is likely to be close to the mean of 1,2,....

mer än 2 år ago

Solved

Find the Oldest Person in a Room

Given two input vectors: * |name| - user last names * |age| - corresponding age of the person Return the name of the ol...

mer än 2 år ago

Solved

Convert from Fahrenheit to Celsius

Given an input vector |F| containing temperature values in Fahrenheit, return an output vector |C| that contains the values in C...

mer än 2 år ago