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Clean Architecture
Lately I have been involved with a new project whose output is a cross-platform mobile application. I choose Flutter as the framework, and consequently Dart as the front-end language. However, around this time I saw this awesome [series] about Flutter TDD Clean Architecture. It is a a really well-constructed course in my opinion. I have […]
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Burnside’s Lemma: Proof and Application
In the previous post, I proved the Orbit-Stabilizer Theorem which states that the number of elements in an orbit of a is equal to the number of left cosets of the stabilizer of a. Burnside’s Lemma Let’s us review the Lemma once again: Where A/G is the set of orbits, and |A/G| is the cardinality of this set. Ag is the […]
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Burnside’s Lemma: Orbit-Stabilizer Theorem
Problem: Given a 3 by 3 grid, with 5 colors. How many different ways to color the grid, given that two configurations are considered the same if they can be reached through rotations ( 0, 90, 180, 270 degrees )? This problem was given in my Number Theory course. Somehow when I searched for the solution, […]
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Bottom-up parsers
An in-depth discussion about bottom-up parsers’ concept, data structure and algorithm.
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Scanner: Automata and Regular Expression
from Regular Expression to Nondeterministic/ Deterministic Finite Automata.
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Linear Algebra – Things unsaid
Connecting the dots between various seemingly heterogenous concepts in linear algebra.
Dafuq is that 