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

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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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)...

3 months ago

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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 ...

3 months ago

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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...

3 months ago

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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. ...

3 months ago

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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 ——...

3 months ago

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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)* ...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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)...

3 months ago

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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 ...

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...

3 months ago

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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),....

3 months ago

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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 ...

3 months ago

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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 ...

3 months ago

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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 ...

3 months ago

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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...

3 months ago

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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: ...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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...

3 months ago

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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. ...

3 months ago

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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.

3 months ago

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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...

3 months ago

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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...

3 months ago

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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,...

3 months ago

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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...

3 months ago

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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...

3 months ago

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