# Erik Weigel

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**Content Feed**

Solved

The Hitchhiker's Guide to MATLAB

Output logical "true" if the input is the answer to life, the universe and everything. Otherwise, output logical "false".

12 dagar ago

Solved

Monte-Carlo integration

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

18 dagar ago

Solved

Simpsons's rule (but not Homer Simpson)

I wonder what Homer Simpson would have thought of Simpson's rule? Somehow I doubt his thoughts would have included the phrase Ne...

18 dagar ago

Solved

Sum of series VI

What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

19 dagar ago

Solved

Calculate the area of a triangle between three points

Calculate the area of a triangle between three points: P1(X1,Y1) P2(X2,Y2) P3(X3,Y3) these three points are the vert...

22 dagar ago

Solved

Nth roots of unity

First, find the n nth roots of unity. eg if n = 6, find the n distinct (complex) numbers such that n^6 = 1. <https://en.wiki...

ungefär en månad ago

Solved

Basic electricity in a dry situation

⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ ⚡ &#...

ungefär en månad ago

Solved

Create a vector whose elements depend on the previous element

The idea is to create a vector A whose elements depend on the previous element : *A(i+1) = 2*A(i)+1* *2 Inputs*: - A : The...

ungefär en månad ago

Solved

intersection of matrices

Given two matrices filled with ones and zeros, determine if they share a common row, column entry. These matrices are of identi...

ungefär en månad ago

Solved

Combined Ages 1 - Symmetric, n = 3

You have probably seen the common riddle wherein combined ages are provided and you must determine the individual ages. For exam...

ungefär en månad ago

Solved

Sophie Germain prime

In number theory, a prime number p is a *Sophie Germain prime* if 2p + 1 is also prime. For example, 23 is a Sophie Germain prim...

ungefär en månad ago

Solved

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...

ungefär en månad ago

Solved

Is this matrix orthogonal?

Given a square matrix, a, determine whether it is orthogonal. INPUT: a, a n x n matrix OUTPUT: true or false

ungefär 2 månader ago

Solved

Sum of series V

What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

ungefär 2 månader ago

Solved

Implement simple rotation cypher

If given a letter from the set: [abc...xyz] and a shift, implement a shift cypher. Example: 'abc' with a shi...

ungefär 2 månader ago

Solved

Beads on a Necklace (Convex Hulls)

We may describe a <http://en.wikipedia.org/wiki/Convex_hull convex hull> as a rubber band stretched around a list of points. Som...

ungefär 2 månader ago

Solved

Polarisation

You have n polarising filters stacked one on top of another, and you know each axis angle. How much light gets passed through th...

ungefär 2 månader 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. ...

ungefär 2 månader ago

Solved

So many choices

For inputs _n_ and _k_ (in that order), output the number of ways that k objects can be chosen from amongst n distinct objects. ...

ungefär 2 månader ago

Solved

I've got the power! (Inspired by Project Euler problem 29)

Consider all integer combinations of a^b and b^a for the integer values 2 ≤ a ≤ 4 and 2 ≤ b ≤ 5: 2^2=4, 2^3=8, 2^4=16,...

ungefär 2 månader ago

Solved

Sum of series II

What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

ungefär 2 månader ago

Solved

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...

ungefär 2 månader ago

Solved

Covering area

As an extension of the problem <http://www.mathworks.com/matlabcentral/cody/problems/416-polygon-area>, find the area, bounded b...

ungefär 2 månader ago

Solved

Kaprekar Steps

6174 is the <http://en.wikipedia.org/wiki/6174_%28number%29 Kaprekar constant>. All natural numbers less than 10,000 (except som...

ungefär 2 månader ago

Solved

Determine if input is odd

Given the input n, return true if n is odd or false if n is even.

ungefär 2 månader 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...

2 månader ago

Solved

Dice face matrix!

This is dice simulator, but instead of making a random die number, you will receive an "pre-rolled" number in and spit out a mat...

2 månader ago

Solved

System of equations

Find a solution to a system of equations represented by a |n| by |n+1| matrix. For instance, [ 2 0 4; => 2*x = 4 ...

2 månader ago

Solved

Relative pose in 2D: problem 2

We consider a world reference frame denoted by {0} which has its x-axis pointing east and its y-axis pointing north. There is a...

2 månader ago