# 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".

2 months ago

Solved

Monte-Carlo integration

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

2 months 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...

2 months ago

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Sum of series VI

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

2 months ago

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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...

2 months 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...

3 months ago

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Basic electricity in a dry situation

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

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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

3 months ago

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Sum of series V

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

3 months 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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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 months ago

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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. ...

3 months ago

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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,...

3 months 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?

3 months 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...

3 months ago

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Covering area

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

3 months ago

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Kaprekar Steps

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

3 months ago

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Determine if input is odd

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

3 months ago

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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...

4 months 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...

4 months 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 ...

4 months ago

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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...

4 months ago