George Papazafeiropoulos
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Major, Infrastructure Engineer, Hellenic Air Force Civil Engineer, M.Sc., Ph.D.
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A résolu
make an eye matrix which element is 1:n
for a given input n, make an n by n matrix which contains elements 1:n for example input =5 output = [1 0 0 0 0;0 2 0 0 0; 0...
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basics -making a matrix
make a matrix which contains input x as the last element. the intervals should be +1 ex) input = 5 output= [0 1 2 3 4 5] ex)...
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Return the 3n+1 sequence for n
A Collatz sequence is the sequence where, for a given number n, the next number in the sequence is either n/2 if the number is e...
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Check if sorted
Check if sorted. Example: Input x = [1 2 0] Output y is 0
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surrounded centroid
create a [n*n] matrix. n must be odd number. its centroid is n which is surrounded by n-1. example: surround(5)= 1 2 ...
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create a square matrix
create a [n*n] matrix. example: mat(4)= [ 1 4 9 16 4 4 9 16 9 9 ...
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Calculate the hypotenuse of a right triangle without using ^ and sqrt ()
Find out the hypotenuse of right triangle. Say a = 4, b = 3 then c = 5 Please don't use ^ and sqrt() function.
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Solve sin(x) without sin(x)
Calculate y = sin(x) x = 0 -> y= 0 without the use of sin(x) or cos(x)
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Bullseye Matrix
Given n (always odd), return output a that has concentric rings of the numbers 1 through (n+1)/2 around the center point. Exampl...
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Column Removal
Remove the nth column from input matrix A and return the resulting matrix in output B. So if A = [1 2 3; 4 5 6]; and ...
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Times 2 - START HERE
Try out this test problem first. Given the variable x as your input, multiply it by two and put the result in y. Examples:...
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N-plicate me
Modified version of duplicate and triplicate me. Repeat elements of input vector with given input n Ex: input = [1 2 3 4 5...
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tridiagonal matrix
Given vectors u and v, make a tri-diagonal symmetric matrix such that u is in the main diagonal and v is below and above diagona...
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Calculate inverse matrix in m by n matrix
x=(1:10)' y=roundn(2*x+7*rand(size(x)),-1) a*x=y Estimate a using inverse matrix calculation. This is principle of li...
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Sum positive elements of matrix.
Calculate sum of positive elements of the matrix.
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Change matrix to vector
Vector is a matrix whose size is 1 x n or n x 1. Change matrix to vector. x = 4 3 5 1 ...
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Two dimensional moving average
A=[1 2 3 4 5 1 2 2 2 3 2 3 3 3 4 1 1 4 4 2] B=[1 1;1 1]; % This is can be used for weight factor of moving a...
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Triplicate me
Given an input vector, output a 3n vector with all elements of input vector repeated thrice Example : in->[1 2 3 5] out...
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Implement zero-based indexing for Matrices
Given an input vector and position (which is zero based) output the value Example: x = [1 2; 4 5] pos = [0 1] value = 5 ...
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Implement zero based indexing (Vectors only)
Given an input vector and position (which is zero based) output the value Example: x = [1 2 4 5] pos = 2 value = 4
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Find the sum of all the numbers of the input vector
Find the sum of all the numbers of the input vector x. Examples: Input x = [1 2 3 5] Output y is 11 Input x ...
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Frequency Analysis of Text
Frequency analysis is a common task in cryptoanalysis. It is essentially counting the occurrences of alphabets (regardless of ca...
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Reduce the logic
We have three logical input, x,y and z. The output is: y = ((x&y)|z)&((z|x&y)|(z&y|x))|((x&z)|z)&((y|x&z)|(z&x|y))|(x|y|z) ...
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Sum of cubes
Write a program to determine sum of cubes of first n odd numbers.
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cross in array
Make a cross from "1" in odd size array. Other value from array should be equal to "0"; As input you get length of side of arra...
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Geometrical meaning of determinant
Given two vectors x,y, in 2D or three vectors x,y,z in 3D space, compute the area (or volume) of the parallelogram they define. ...
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Convert a vector to a lower triangular matrix
I now have a row vector and I want to convert it to a lower trilangular matrix. The rows of the lower trilangular matrix have...
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Rotate array 90 degrees
Example, A = [1 2 3 ; 4 5 6 ] B = rotated(A) = [ 3 6; 2 5; 1 4 ]
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Pad zero between every adjacent values of the vector.
you are given a vector x. you have to make an output vector y with zeros padded between every adjacent values of x. e.g x: ...
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