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Pi Estimate 1

Estimate Pi as described in the following link: <http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf>

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Combinations without using nchoosek

You have to generate a matrix with all possible combinations of n elements *taken 2* at a time, *without using nchoosek(1:n,2)* ...

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Duplicate a character

Duplicate a character 'n' times. Example 1: str='a' n=5 output='aaaaa' Example 2: str='*' n=3 output='***'

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Number of vertices of a hypercube

Return the number of vertices of a n-dimensional hypercube.

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Calculate compression ratio of engine

Calculate compression ratio of engine given compression volume of cylinder(Vc), piston stroke(s) and valve diameter(d)

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Schwarzschild radius

Compute the Schwarzschild radius for objects of mass m (kg). Use c = 299,792.458 km/s and G = 6.6738*10^-11 N*(m/kg)^2. Your fun...

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Easy Sequences 13: Average Speed of Spaceship

A certain alien spaceship is capable of traveling at extremely high velocities and is able to change speed instantaneously. The ...

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Create initial basic feasible solution for transportation problems - North-West Corner Method

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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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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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Monte-Carlo integration

Write a function that estimates a d-dimensional integral to at least 1% relative precision. Inputs: * d: positive integer....

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Longest Collatz Sequence

Inspired by Projet Euler n°14. The Collatz iterative sequence (See Cody problem n° 2103 and 211) is defined for the set of po...

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Large Sum (inspired by Project Euler 13)

Your function will be provided an arbitrary number of numbers of arbitrary sizes as a cell array of strings. Some numbers will b...

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Divisors for big integer

Inspired by Problem 1025 and Project Euler 12. Given n, return the number y of integers that divide N. For example, with ...

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Highly divisible triangular number (inspired by Project Euler 12)

Triangular numbers can be calculated by the sum from 1 to n. For example, the first 10 triangular numbers are: 1, 3, 6, 10, ...

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Project Euler: Problem 11, Largest product in a grid

What is the greatest product of _k_ adjacent numbers in the same direction (up, down, left, right, or diagonally) in a _n×n_ gri...

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Sum of big primes without primes

Inspired by Project Euler n°10 (I am quite obviously a fan). With problem n°250 by Doug, you can find some global methods to ...

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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...

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The Piggy Bank Problem

Given a cylindrical piggy bank with radius g and height y, return the bank's volume. [ g is first input argument.] Bonus though...

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Fraction of a fraction of a ...

One sort of brainteaser problem is a math problem wherein you are asked what the given fraction of a fraction of a ... number is...

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Approximation of Pi (vector inputs)

Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...

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Approximation of Pi

Pi (divided by 4) can be approximated by the following infinite series: pi/4 = 1 - 1/3 + 1/5 - 1/7 + ... For a given numbe...

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Given a square and a circle, please decide whether the square covers more area.

You know the side of a square and the diameter of a circle, please decide whether the square covers more area.

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Mersenne Primes vs. All Primes

A Mersenne prime (M) is a prime number of the form M = 2^p - 1, where p is another prime number. <https://www.mathworks.com/matl...

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Pancakes for everyone!

Accordingly to the <http://nl.mathworks.com/matlabcentral/cody/problems/42460-the-cake-is-a-lie problem 42460>. All the children...

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The cake is a lie...

You're hosting a birthday party with a large number of screaming children. Fortunately, you have a gigantic sheet cake in front...

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Radiation Heat Transfer — View Factors (5)

View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

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Radiation Heat Transfer — View Factors (4)

View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

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Convex Hull Capture

Imagine four points in uv that form a square. uv = [ ... 0,0; 0,2; 2,2; 2,0]; Now we have two more po...

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