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Project Euler: Problem 9, Pythagorean numbers

A Pythagorean triplet is a set of three natural numbers, a b c, for which, a^2 + b^2 = c^2 For example, 3^2 + 4^2 =...

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Project Euler: Problem 2, Sum of even Fibonacci

Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with 1 and 2, the first 10 te...

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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 7, Nth prime

By listing the first six prime numbers: 2, 3, 5, 7, 11, and 13, we can see that the 6th prime is 13. What is the Nth prime nu...

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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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Generalised Hamming Number

Inspired by Project Euler n°204 and Problem 1308 by James A generalised Hamming number of type n, has no prime factor larger ...

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Pizza!

Given a circular pizza with radius _z_ and thickness _a_, return the pizza's volume. [ _z_ is first input argument.] Non-scor...

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Find vampire numbers

A <http://en.wikipedia.org/wiki/Vampire_number vampire number> is a number v that is the product of two numbers x and y such th...

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Get all prime factors

List the prime factors for the input number, in decreasing order. List each factor. If the prime factor occurs twice, list it as...

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Factorize THIS, buddy

List the prime factors for the input number, in decreasing order. List each factor only once, even if the factorization includes...

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Numbers with prime factors 2, 3 and 5.

Make a function which takes one positive integer n and returns a matrix with the numbers of the form (2^i)*(3^j)*(5^k) which are...

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Proper Factors

Generate the proper factors of input integer _x_ and return them in ascending order. For more information on proper factors, ref...

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Smith numbers

Return true if the input is a Smith number in base ten. Otherwise, return false. Read about Smith numbers at <http://en.wikipedi...

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Multiples of a Number in a Given Range

Given an integer factor _f_ and a range defined by _xlow_ and _xhigh_ inclusive, return a vector of the multiples of _f_ that fa...

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German tank problem

The <http://en.wikipedia.org/wiki/German_tank_problem German tank problem> is a well-known statistical problem that attempts to ...

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Probability of Choosing a Red Ball

Given two jars of red and blue balls, find the probability of choosing a red ball from Jar 1 after going through the steps. ...

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Unique dice configurations

Given a number of dice N and the number of sides on each die S, write a MATLAB function that will output how many unique permuta...

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Penny flipping - calculate winning probability (easy)

Two players are playing a fair penny flipping game. For each flip, the winner adds one penny from the loser's collection to his/...

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The almost-birthday problem.

This is a harder version of the birthday problem. Now, you will have to determine the probability that two or more people in a r...

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Given n, create n random numbers such that their standard deviation is also n.

Given n, create n random numbers such that their standard deviation is also n.

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Coin change combinations.

Using only pennies (1), nickels (5), dimes (10), quarters (25), half dollars (50), and dollars (100), how many different combina...

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Does the coin touch the line?

If we throw a coin that has a diameter of d, its center will land in a grid n x m. What is the probability that the coin land...

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Coin Tossing: Probability of Same Heads for N tosses

A pair of physicists toss a coin n times each. What is the probability that they tossed the same number of heads? *Input:*...

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Calculate the probability that at least two people in a group share the same birthday.

Calculate the probability that at least two people in a group share the same birthday. Given an integer input n, return to 0.015...

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The Birthday Phenomenon

First off, leap years are not being considered for this. In fact the year that people are born shouldn't be taken into considera...

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Number of divisors of a given number

Given a Number n, return the number of his divisors without listing them example: n=14 ; Divisors={1,7,2,14} ; y=4 n=...

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Number of even divisors of a given number

Given a Number n, return the number of its even divisors without listing them. example: n=14 ; EvenDivisors={2,14} ; y=2 ...

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Let's get back to school, and create multiplication tables

For a given range, create multiplication tables. (start is always < endno) Example start = 17 endno = 19 Then, ...

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Subtract integers and add doubles

Create a function that subtracts a from b if a and b are integers and adds them if they are floats.

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Sum the 'edge' values of a matrix

Sum the 'edge' values of an input matrix (the values along the perimeter). Example [1 2 3 4 5 6 7 8 9] Output = ...

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