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# Wojciech

### Wroclaw University of Science and Technology

Last seen: 3 mois il y a Actif depuis 2020

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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...

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Find similar sequences
Another problem inspired by a question on the <http://www.mathworks.com/matlabcentral/answers answers> forum. Given a matrix ...

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arithmetic progression
I've written a program to generate the first few terms of <https://en.wikipedia.org/wiki/Arithmetic_progression arithmetic progr...

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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 ...

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geometric progression
I've modified my <http://uk.mathworks.com/matlabcentral/cody/problems/2800-arithmetic-progression previous program> so that it n...

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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...

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Approximation of Pi
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...

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Sum of series VII
What is the sum of the following sequence: Σ(km^k)/(k+m)! for k=1...n for different n and m?

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Sum of series VI
What is the sum of the following sequence: Σk⋅k! for k=1...n for different n?

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Sum of series V
What is the sum of the following sequence: Σk(k+1) for k=1...n for different n?

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Sum of series IV
What is the sum of the following sequence: Σ(-1)^(k+1) (2k-1)^2 for k=1...n for different n?

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Sum of series III
What is the sum of the following sequence: Σ(2k-1)^3 for k=1...n for different n?

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Sum of series II
What is the sum of the following sequence: Σ(2k-1)^2 for k=1...n for different n?

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Sum of series I
What is the sum of the following sequence: Σ(2k-1) for k=1...n for different n?

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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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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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Moving Product (Easy)
Given an input array A, write a function *movprod(A,k,dim)* to calculate the moving product over a sliding window of length *k* ...

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Simulate one complete step in the Biham–Middleton–Levine traffic model
The <http://en.wikipedia.org/wiki/Biham%E2%80%93Middleton%E2%80%93Levine_traffic_model Biham–Middleton–Levine traffic model> is ...

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Fill the Matrix - 2
Input is a column vector and n. n columns will be added to the left of the input column. The first value of the row is the me...

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Fill the matrix - 1
Input is a column vector and n. n columns will be added to the left of the input column. The first value of the row is the s...

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Construct a matrix whose elements begin from 1 and end at n^2 with the order of arrangement as shown below: For: n = 4 ...

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Cumulative maximum of an array
Find the cumulative maximum of an array without using the built-in function <http://www.mathworks.com/help/matlab/ref/cummax.htm...

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Cumulative minimum of an array
Find the cumulative minimum of an array without using the built-in function <http://www.mathworks.com/help/matlab/ref/cummin.htm...

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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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Block average ignoring NaN values
Given a matrix, calculate the block average of each disjoint sub-matrix while ignoring *NaN* values. Assume that the size of the...

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Block average
Given a matrix, calculate the block average of each disjoint sub-matrix of the same size. Assume that the size of the matrix alo...

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Matrix to 3-Column Matrix
Consider a matrix *A* such as A = [1 2 3 3 4 5 6; 2 3 4 5 6 7 8]; Can you convert this matrix to a three-column ...

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Vector to 3-Column Matrix
Consider a vector *A* such as A = [1 2 3 3 4 5 6] Can you convert this vector to a three-column matrix like this: ...

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Sort rows of a matrix
Sort rows of matrix A in an ascending order according to the last column Example input: A = [1 2 3;7 8 9;4 5 6]; Exam...

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