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# Wojciech

### Wroclaw University of Science and Technology

Last seen: 3ヶ月 前 2020 年からアクティブ

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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...

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

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

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 ...

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

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...

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...

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?

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

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

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?

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

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

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

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...

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...

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* ...

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 ...

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...

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...

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

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...

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...

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...

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...

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...

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...

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 ...

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: ...

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...