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Replace secondary diagonal elements of a square array
Replace all the secondary diagonal elements of the square array A with the number n Example: A = [1 2 3 4 5 6 ...

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Find the Final State of an Abelian Sandpile
Let us define an <http://nautil.us/issue/23/dominoes/the-amazing-autotuning-sandpile Abelian sand pile> as a matrix that is only...

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Maximum of each diagonal
The well-known <http://www.mathworks.com/help/matlab/ref/max.html max> function can operate along either the rows or the columns...

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Minimum of each diagonal
The well-known <http://www.mathworks.com/help/matlab/ref/min.html min> function can operate along either the rows or the columns...

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Divide elements by sum of elements
In this problem, I ask you to write a function which will divide the elements of each column by the sum of the elements of the s...

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Find an optimal placement of coolers on a grid
In a certain chemical plant, 6 new pieces of cooling equipment (coolers) are to be installed in a vacant space. This vacant spac...

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Characterize fluid flow in a pipe as to laminar or turbulent
In fluid mechanics, characterizing the flow in a pipe is essential to predicting its behavior. The flow pattern can either be la...

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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...

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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 ...

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Pancake sorting - minimum flips.
Sort a stack of pancakes by flipping them using spatula. There are N pancakes with diameters 1:N. Spatula can be inserted anyw...

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Pancake sorting
Sort a stack of pancakes by flipping them using spatula. * There are _N_ pancakes with diameters _1:N_. * Spatula can be ins...

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Find the same and successive values in a vector
Find the same and successive values in a vector. For example: Input x = [ 1 0 0 1 1 1 1 0 1 1 1 0 0 0 1 ] Start and end...

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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 ...

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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...

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Calculate the sphericity of a Raschig ring
Sphericity is a measure of the roundness of any particle. It was defined by Wadell in 1935 as the ratio of the 'surface area of ...

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Convert a temperature reading from Celsius to an unknown scale
Two of the most famous temperature scales are the Celsius and the Fahrenheit scale. In reality, however, there are so many other...

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How to reverse spdiags?
The spdiags function extracts all nonzero diagonals from the m-by-n matrix A. So if A=[1 2 3;4 5 6;7 8 9], spdiags(A)=[7 4...

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How close to a hole
Suppose you have a description of good places (ones) and bad places (zeros). You want to know your distance from a bad place (in...

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Pandiagonal Prime Magic Square Verification
Verify if an NxN matrix is a Pandiagonal Prime Magic Square. Required properties: 1) N^2 prime values ( No repeats, 1 ...

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We love vectorized solutions. Problem 1 : remove the row average.
Given a 2-d matrix, remove the row average from each row. Your solution MUST be vectorized. The solution will be tested for ac...

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Conic equation
A conic of revolution (around the |z| axis) can be defined by the equation s^2 – 2*R*z + (k+1)*z^2 = 0 where |s^2=x^2+y...

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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...

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Combine Data With Gaps
Combine data sets a and b where the datasets have "gaps" or unique points. Example: Input a = [1,0; 2,1; ...

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Split array into pieces according to corresponding array
An array x of length n has values 1...m with each value appearing at least once. The values are sorted (n>=m). A second...

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Find the distance between runs
Another question inspired by the <http://uk.mathworks.com/matlabcentral/answers/?s_tid=gn_mlc_an answers forum>: A vector of ...

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Find Elements in Range
Based on a question on <http://www.mathworks.com/matlabcentral/answers/ MATLAB Answers>. Find all the elements of a vector wh...

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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...

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Neither minima nor maxima
Input v is a vector. Return all the elements of v which are not a local minimum or maximum. Example: v = [1 2 3 4 5] Ou...

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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...

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Sum My Indices
Given inputs M and N (in that order), output an MxN matrix whose entries are equal to the sum of their indices. Example input...

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