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Legendre polynomials
Given an integer _n_ ≥ 0, generate the _n_-th <http://en.wikipedia.org/wiki/Legendre_polynomials Legendre polynomial>. *Ex...

5 months ago

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Taylor Series
You can use a Taylor series to approximate common functions. The Taylor series for sin(x) is Using only the first several te...

5 months ago

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Find third Side of a right triangle given hypotenuse and a side. No * - or other functions allowed
Find the remaining side of a triangle given the hypotenuse and a side. However, the normal functions and symbols are not allowe...

5 months ago

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Find indices of diagonal elements
Given a matrix A and a diagonal index d (where 0 indicates the main diagonal and off-diagonals are identified by positive and n...

5 months ago

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Elements with highest local average
Input v is a row vector such that length(v)>3. Consider a sliding window of length 3 that is used to calculate the local average...

5 months ago

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Longest Sequence of NaNs
In an array return the length of longest sequence of nans for each column. x = [ 2 3 1 2 5 6; nan nan 5 n...

5 months ago

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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...

5 months ago

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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...

5 months ago

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Generate Square Wave
Generate a square wave of desired length, number of complete cycles and duty cycle. Here, duty cycle is defined as the fraction ...

5 months ago

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Smallest distance between a point and a rectangle
Given two points *x* and *y* placed at opposite corners of a rectangle, find the minimal euclidean distance between another poin...

5 months ago

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Great Circle Distance
Find shortest between two points on a ball given their azimuthal and polar angles (in degrees) as well as the radius of the sphe...

5 months ago

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Clockwise or Counterclockwise
Given a list of 2-d points defining the vertices of a polygon, determine whether these points are sorted clockwise. The input...

5 months ago

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Breaking Out of the Matrix
Do you want to take the Red Pill, or the Blue Pill? If you take the Blue Pill, you will simply pass along to the next problem...

5 months ago

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TRON strategy toggle
Detect whether your lightcycle is on same side of existing walls as opponents lightcycle. This function is useful in toggling a ...

5 months ago

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Detect circles in images
Given an image and a target radius range, specified as [rmin rmax], find circles in the image. Your function should output an m-...

5 months ago

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Index of neighbor pixel with steepest gradient
Unlike in various applications, where the gradient of a two dimensional matrix is calculated in x and y direction, the gradient ...

5 months ago

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Compute the dilation of a binary image
A basic operation in image analysis is the dilation. Given an image where each pixel is either on or off (black/white, true/fals...

5 months ago

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2D - Mean Filter
Assume you are given an "image" matrix of size NxM. Reduce the image noise by implementing a mean filter window of size 9 (a 3x3...

5 months ago

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Create an 8-color version of an image
This problem was inspired by a tweet I saw from @MATLAB regarding <http://www.mathworks.com/matlabcentral/fileexchange/37816-the...

5 months ago

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Create different color vectors.
When producing figures with multiple lines on, you often want the lines to all be visible and different colors. Given the need f...

5 months ago

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Make blocks of color
Given a (Nx3) sequence of RGB colors, I want to create a (numRowBlocks x numColBlocks x 3) image comprising (blockSize x blockSi...

5 months ago

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Change a specific color in an image
The ability to change colors can be a useful tool in image processing. Given an m x n x 3 array (much like CData in images), fin...

5 months ago

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Dog Statistics
The vectors ht and wt contains the heights and weights of 20 golden retrievers. In some cases, it was not possible to make both ...

5 months ago

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Simpson's Paradox - Calculate correlation coefficients for groups of data
Simpson's Paradox is a statistical phenomenon where groups of data can have a characteristic while the whole data set together h...

5 months ago

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Orthonormal matrix
You decide whether any given matrix is an orthonormal matrix or not. If each column in a matrix is perpendicular to the other...

5 months ago

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Assess the scatter of wind turbines in a field
The renewable energy industry is on the rise in many countries--- and one of the key players is wind energy. It is believed ...

5 months ago

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Find an overlap in the cleaning schedule of two tank reactors
In a certain pharmaceutical production company, there are two tank reactors operating simultaneously and independent of each oth...

5 months ago

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Design a tubesheet for shell-and-tube heat exchangers
<<https://3.bp.blogspot.com/-kLSbhcCoT2I/WJIh-QVGLGI/AAAAAAAADEs/svvMzBqn4fUfI1rTCCH7Uw-QuDvxx0PxACLcB/s1600/Screenshot_669.jpg>...

5 months ago

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Count the number of folds needed to pack a large sheet
In a certain paper factory, large sheets of paper are being made every day. Before sending the sheets for shipment, they have to...

5 months ago

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Create a matrix map of increasing safety levels
The sole nuclear power plant at Grid City suddenly had a meltdown. Luckily, the plant was designed to be in full automation, so ...

5 months ago