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Determine aquifer properties: slug test
An important task in characterizing the flow of groundwater is to determine the properties of the aquifer, or the underground wa...

1 year ago

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Design a well field in an infinite aquifer
A well field provides water for a community. The design of a well field involves a goal to meet a specified service demand (i.e...

1 year ago

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Parse string and identify specific string sequence in algebraic equation
Given a string S that defines an algebraic expression such as: S= 'X= A1 + A2*(Y1 + A3*Y3)*exp( A4*Y12 + Y1) ;' return a...

1 year ago

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Radiation Heat Transfer — View Factors (4)
View factors (aka configuration factors) are utilized in some radiation heat transfer models to estimate heat transfer rates bet...

1 year ago

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Find the longest runs of primes generated by polynomials
Cody Problems 60942, 60943, and 60944 involve polynomials that generate primes. No polynomial can generate only prime numbers, b...

1 year ago

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Check the integers decomposition conjecture
Problem statement A conjecture (I rediscovered ?) related to Goldbach's one states that every integer above 2 can be written ...

1 year ago

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Check the 'golden prime squares' equation
Historical context In december 2023, I / Nicolas Douillet was working on prime squares properties and I found* the formula : ...

1 year ago

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Compile evidence for the Carmichael totient conjecture
The totient function counts the positive integers up to that are relatively prime to . The Carmichael totient conjecture state...

1 year ago

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Ulam primes second formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give some prime numbers not given...

1 year ago

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Ulam primes first formula
Historical context The polish-american mathematician Stanislaw Ulam found the formula to give the first 760 prime numbers ...

1 year ago

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Euclid primes
Historical context Euclid, the greek mathematician proved at his time that the prime numbers set is an infinite. By the way he ...

1 year ago

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Fermat primes
Historical context The french mathematician Pierre de Fermat found the formula to find some prime numbers. He thought / co...

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Euler primes
Historical context The great swiss mathematician Leonhard Euler found the formula P(n) = n^2 + n + 41 to give some prime nu...

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Primes numbers which are the difference of two consecutive cubes
Problem statement Given a positive integer n greater than 2, find the prime numbers less or equal to n and which are the diff...

1 year ago

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Find the first occurence of a given gap between two consecutive prime numbers
Problem statement Given a gap = p' - p between the two consecutive prime numbers p and p', find its first occurence, f. E...

1 year ago

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Frequencies of prime gaps
Given two positive integers n and , write a function which computes the frequency of the gap between two consecutive of the pr...

1 year ago

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Breaking up a chocolate bar
You've got a chocolate bar of size , and you want to break it up into bite-sized () pieces. How many steps are required to do th...

1 year ago

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Insert certain elements into a vector.
We start with vector V. Some values W will be inserted into V, at positions U. Say, |V| contains |[1 2 3 4 5]| and |W| is |[0...

1 year ago

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Fizz Buzz
Given an array of positive, non-zero, integers, return a cell array of strings the same size as the input, where each element in...

1 year ago

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Nonuniform quantizer as a piecewise constant function
Implement a nonuniform quantizer as the following piecewise function: y = -3.5, x < -3 y = -1.5, -3 ≤ x < -1 y = ...

1 year ago

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Infernal Recursion
Consider the recursion relation: x_n = (x_(n-1)*x_(n-2))^k Given x_1, x_2, and k, x_n can be found by this definition. Wr...

1 year ago

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Under the sea: Snell's law & total internal reflection
<https://en.wikipedia.org/wiki/Snell's_law> When a light travels from one medium to another medium, depending on the refracti...

1 year ago

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Laguerre Polynomials
Create a square lower diagonal matrix containing the first n Laguerre Polynomial coefficients. For n=6, the Laguerre Matrix is: ...

1 year ago

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Cookie Cutters
Given a larger and smaller matrix, perform element-by-element multiplication on the smaller matrix and a sub-matrix of the large...

1 year ago

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Assign numerical values to a structure with 1 field
The aim is to assign values to a multidimensional structure *without using for-loop or while-loop* Example with a structure ...

1 year ago

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Convert a structure into a string
Convert the contents of each fields into a string. Example with an input structure s with 2 fields : s.age = '33' s....

1 year ago

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Find all the zeros of sinus , cosinus and tangent in a given interval
The aim is to find all the zeros of a function within an interval. *Input* : * fcn : an anonymous function (@sin, @cos......

1 year ago

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Cody Computer Part 1 - Guess the system font used by uipanel
list = listfonts return the list of available system fonts. Can you guess which font is used for uipanel on the CODY computer...

1 year ago

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Cody Computer Part 2 - Get the license number of Cody Computer
In the Cody computer investigation party, you may have already solved : <http://www.mathworks.com/matlabcentral/cody/problems...

1 year 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...

1 year ago