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Dots in a Sphere
Return how many integer grid points there are inside a 3D sphere of radius _r_ centred at (0,0,0) (including points on the edge)...

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Property dispute!
Two neighbors have rectangular plots of land A and B. The surveyors give you the coordinates of each. If they overlap, there is ...

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A (wrong) place for everything, and everything in its (wrong) place
You have an equal number of cups and balls, each labelled from one to N. You randomly place one ball in each cup. Determine th...

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Possible Outcomes of American Roulette
The payout for American roulette can be calculated by: payout = (38/n)-1 where n is the number of squares the bet covers. ...

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NCHOOSEK - Time Optimization
Input V —— Set of all choices, a vector of N, 1 < N < 100 K —— Number of selected choices, a scalar, 0 <= K <= N Output C ——...

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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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Removing rows from a matrix is easy - but what about inserting rows?
Assume A is a 5-by-5 matrix. A([2,4],:) = [] is a quick way to remove rows 2 and 4. Can you find a quick way to insert rows into...

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Operate on matrices of unequal, yet similar, size
You may want to add a vector to a matrix, implying that the vector is added to each column of the matrix. Or multiply a 3x4x5 ma...

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Matrix with different incremental runs
Given a vector of positive integers a = [ 3 2 4 ]; create the matrix where the *i* th column contains the vector *1:a(i)...

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Make an awesome ramp for a tiny motorcycle stuntman
Okay, given a vector, say v=[1 3 6 9 11], turn it into a matrix 'ramp' like so: m=[1 3 6 9 11; 3 6 9 11 0; 6 9 ...

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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...

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Sum of first n terms of a harmonic progression
Given inputs a, d and n, return the sum of the first n terms of the harmonic progression a, a/(1+d), a/(1+2d), a/(1+3d),....

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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 ...

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The Goldbach Conjecture, Part 2
The <http://en.wikipedia.org/wiki/Goldbach's_conjecture Goldbach conjecture> asserts that every even integer greater than 2 can ...

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Prime Ladders
A <http://en.wikipedia.org/wiki/Word_ladder word ladder> transforms one word to another by means of single-letter mutations. So ...

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deconvolution
* Suppose there is a vector v like [1 0 0 -1], representing polynomial coefficients. * In this example, the polynimial is 1*x^3...

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Binary
Given a positive, integer n, create a function that returns the respective binary number in the form of a vector. Example: ...

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The Deadly Sin
Melvyn and Banner are fighting over chocolates. Melvyn has X chocolates, while Banner has Y. Whoever has a lesser number of choc...

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The Ulam Matrix
The Ulam spiral is simple to describe. On a gridded piece of paper, write down the number 1. Then write successive integers as y...

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Fast 1-D Convolution (full shape)
This is the first problem in the <http://www.mathworks.com/matlabcentral/cody/?term=Fast+1-D+Convolution fast 1-D convolution se...

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Disjunctive Normal Form
This problem is the companion to Problem <http://www.mathworks.com/matlabcentral/cody/problems/1484 1484>. In Boolean logic, a f...

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Get ranks of values in a vector
For a given vector, say [6 3 8 2], return the ranks (ascending) of observations, i.e. [3 2 4 1]. Do not worry about tied ranks. ...

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Exponent of IEEE Single
Output the exponent bits as a uint8 of the IEEE representation of the single-typed 32-bit float input.

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Matrix Transposition
Given a matrix and an index, perform matrix transposition as follows - Replace non-corner value of ith ring from outside, with...

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Image Processing 2.1.1 Planck Integral
Integrate the Planck function in Lambda (um) at T (K) accurately and quickly to find Radiance for a Lambertian source. Planck...

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Accumulate Cells
Given a combining function, a cell array, and an initial value, accumulate the result. For example, accumcell(@plus,{1,...

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row-th maximum row elements
Input a is a square matrix of size n*n. Output vector v is of size 1*n. The ith element of output v is the ith largest element o...

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Permuted Multiples: Project Euler Problem 52
Return the smallest positive integer, x, for which x, 2x, 3x, 4x, 5x, and 6x, all contain the same digits but in different order...

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Maximum sum from any 2 numbers with a variable number of inputs
Given a variable number of inputs, combine any 2 numbers from the inputs and output the maximum sum the combinations can generat...

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Mr. Pyramidad & Ms. Whissy Bolower
Businessman Mr. B. M. Pyramidad was drinking with his new girlfriend Ms. Whissy Bolower. He disclosed to her that he has an ille...

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