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Circle Division
A circle can be divided into 2 sections, by placing 2 points in arbitrary locations along its circumference and drawing a straig...

2 months ago

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Solve an ODE: diffusion problem 1

2 months ago

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Compute the saturation concentration for dissolved oxygen in water
As organic matter from wastewater decomposes, it consumes oxygen, and an assessment of the effect of a wastewater discharge on t...

2 months ago

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Korselt's Criterion
A composite integer n (n>=2) divides b^n-b, i.e. mod(b^n-b,n)==0, for all integers b if and only if n is square-free (doesn't ha...

2 months ago

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Compute the perimeter of an ellipse
While the area of an ellipse is straightforward to compute, the perimeter (or circumference) is more complicated. The perimeter ...

2 months 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: ...

2 months ago

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Find terms in the Connell sequence

2 months ago

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Sort Reversal
There are n index cards in a row, with n distinct integers written on them (one number per card) so that the numbers are sorted ...

2 months ago

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007: Chinese Barrack Invasion
*MISSION:* Successfully invade a military barrack located in China. *WARNING:* There is a row of _n_ security switches protec...

2 months ago

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Find the Pattern 9

2 months ago

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Logic 11

2 months ago

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Time and Variable mapping and matching
There is a 6X5 cell array where * 1st column represents time values * 2nd and 3rd column represent variables and their value...

2 months ago

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Area-07
This is a follow up of the problem <https://www.mathworks.com/matlabcentral/cody/problems/45341-area-06> in this case, fi...

2 months ago

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List unitary divisors of a number
A unitary divisor of a number divides and satisfies gcd(,) = 1. For example, 9 is a unitary divisor of 18 because gcd(9,2) = ...

2 months ago

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Kurchan 3x3 - Optimal Score
Find an optimal 3x3 Kurchan square, score of 198. A 3x3 Kurchan square has values 1:9.The products of each row, column, diag...

2 months ago

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Convert a number to its Roman representation
Convert a given number to its Roman representation. For example, if the number is 98, it should display 'XCVIII'

2 months ago

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Put all numbers in a string inside square brackets
Examples: 'left3down2' -> 'left[3]down[2]' 'fiat500' -> 'fiat[500]'

2 months ago

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Create times-tables (★★★)
(copy of prob 33) At one time or another, we all had to memorize boring times tables. 5 times 5 is 25. 5 times 6 is 30. 12 ti...

2 months ago

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Ordinary Annuity : Rate (Future Value)
Theorem : Future Value of an Ordinary Annuity where; F : Future value A : Periodic payment r : Rate per period n : Numbe...

2 months ago

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Scrabble Scores - 9
After developing a sophisticated Scrabble scoring routine, it's time to write an optimization routine for single-word scoring. T...

2 months ago

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Compute the Sequence of the Day
A sequence starts with 1 and 2, and each subsequent term is the sum of the digits of the product of the previous two terms. As a...

2 months ago

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Select every other element of a vector (★★)
(copy of prob 6) Write a function which returns every other element of the vector passed in. That is, it returns the all odd-...

2 months ago

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Luhn's Algorithm
Luhn's Algorithm is used as a checksum for credit card numbers or similar identifiers. It can detect single-digit changes and sw...

2 months ago

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Yoonir - 02
Find the area of a six-pointed star inscribed in a circle of radius r.

2 months ago

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Logic 8

2 months ago

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Wavy gravity
In a parallel universe the gravity works very strangely. Indeed, gravity is equal to: g = sin( (pi/2)*t/60 ) [m/s^2], where t i...

2 months ago

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Aztec Diamond domino tilings
Consider a Cartesian grid, with verteces at integer x and y values, where every four vertices around a vacant space define a uni...

2 months ago

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combine cells
A cell type variable is created. However it has other cells in itself. we want to integrate them all in a single cell. the conte...

2 months ago

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Sieve of Eratosthenes
Find the nth lucky prime number. <https://planetmath.org/luckyprime> can u find a way for large n?

2 months ago

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Maya long Count
Given a Mayan date, calculate the number of days after the end of the last Great Cycle. <https://en.wikipedia.org/wiki/Maya_c...

2 months ago