Various University Projects

1. "Basics of digital media" exercises

Some exercises regarding image and even video manipulation/processing created using ImageJ. There were templates provided, but we had to implement the logic and functionalities regarding the manipulations ourselves.

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2. Math programming assignments

The following images are screenshots of two math assignments.

The first assignment was about permutations. The tasks were to write a method getLehmerCode that returns the lehmer code of p. Then to write a method getPerm that returns the permutation p associated with L(p). And last but not least to write a method that lists the permutations of {1, 2, ... n} lexicographically.

The second assignment was about solving systems of linear equations. For this, I first needed to write a method called calcNF2 to transform the extended coefficient matrix into the reduced row echelon form. And then I had to implement the method solve which then solves the system and returns the solutions of the homogeneous system and a special solution of the inhomogeneous system. But in the code you'll find many helper methods which are part of the calcNF2 and solve methods.

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