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First use of arrayfun() and anonymous function @(x)
Create an anonymous function using @(x) for a parabola equation for the given coefficients stored in s with s(1)x2 + s(2)x +...

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Next lexicographic - permutation
Find next lexicographic - permutation (permutations as it would occur in a dictionary order). E.g: nextP('ABCD') = ABDC I...

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Multivariate polynomials - overload multiplication
Problems <https://www.mathworks.com/matlabcentral/cody/problems/44260-multivariate-polynomials-convert-monomial-form-to-array 44...

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Multivariate polynomials - convert monomial form to array
In <https://www.mathworks.com/matlabcentral/cody/problems/44259-product-of-two-multidimensional-polynomials Problem 44259> I ask...

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Product of two multivariate polynomials
MATLAB <https://www.mathworks.com/help/matlab/polynomials.html has a few functions> for creating and manipulating single-variabl...

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Lambert's W
Matlab cody does not support lambertw. Try to create a lambert's w function yourself. Lambert's W is the function that solves...

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Find the right number make the equation
Given positive integer number n, find the right positive integer number a, b , so that (1) sqrt(a + n * b) is a positive inte...

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High Precision Square Root (Inspired by Project Euler 80)
Given a positive integer n which is not a perfect square, write a MATLAB script that will calculate the square root of n truncat...

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~~~~~~~ WAVE ~~~~~~~~~
|The WAVE generator| Once upon a time there was a river. 'Sum' was passing by the river. He saw the water of the river that w...

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Place wastewater treatment processes in the correct order
There are many technologies for treating wastewater. For example, grit chambers are used to remove heavy solids, filtration is u...

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Maximize the production in a plant within equipment capacity
The goal of a certain manufacturing company is to maximize its production of goods per day. In the production flow, there is a s...

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List the households affected by leaks in water distribution
Consider the following water distribution network, where water is pumped uni-directionally from left to right: 8...

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Trace the path of a harmful chemical in an ecological network
An ecological network consists of the cycles of nature, such as the water cycle, the carbon cycle, the oxygen cycle, etc. Due to...

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Count the number of reaction chains achievable in T mins
This problem is related to Problem <45467>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...

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Find the fastest reaction chain to reach a target compound
This problem is related to Problem <45470>. Let's denote a list of *N* compounds as 1, 2, ..., *N*. You are then given a list...

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Design a minimum-cost cable network for a power grid
You are given the 2-D point locations ( _xi_ , _yi_ ) of *N* _components_ of a power grid. These _components_ include power sour...

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Propagate the effects of a blockage in a chemical plant
From the perspective of flow, a chemical plant can be described by a collection of _nodes_ and _edges_. _Nodes_ are points where...

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Pitting corrosion on a metal plate: Find the largest pit
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Pitting corrosion on a metal plate: Count the number of pits
You are given an N x M matrix of _ones_ and _zeros_, which represents an image of a rectangular metal plate taken from the hull ...

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Extract Built In Functions and Toolbox Functions from String or Function Handle
Find the Built-In functions and Toolbox functions in either a string or a function handle. Generate a string of alphabetized ...

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Data decompression
A chunk of data is to be 'decompressed'. Input: * compressed: a row vector of uint8 values. This is the compressed data. ...

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Word Distance - Sum
Let's suppose that the distance of a word can be calculated by summing the differences between its letters, having assigned the ...

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microseconds passed today
Calculate the amount of microseconds passed for a given date string. Return the value, rounded to the nearest integer, as a stri...

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Find my birthday
Given a birth date x, find my age when my birth day will fall on the same day as I was born. So if I was born on Monday, what a...

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calculate the day of the year from a date string.
'09-Oct-2016' is the 283rd day of the year. So doy = dayoftheyear('09-Oct-2016') should return doy = 283

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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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Compute the missing quantity among P, V, T for an ideal gas
Consider 100 mol of helium gas at a certain pressure (P), volume (V), and temperature (T). Assuming that the ideal gas law appli...

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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 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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Design a tubesheet for shell-and-tube heat exchangers
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