Featured image of post Memory Management and Garbage Collection: The Truth About Memory Learned from C, Java, and Rust

Memory Management and Garbage Collection: The Truth About Memory Learned from C, Java, and Rust

From the basics of memory management in programming to manual management in C, garbage collection in Java, and the ownership model in Rust, we compare and explain them at a deep level.

Featured image of post Object-Oriented vs Functional vs Data-Oriented: Limits and Fusion of Paradigms

Object-Oriented vs Functional vs Data-Oriented: Limits and Fusion of Paradigms

A deep dive into the history and evolution of programming paradigms, the strengths and limitations of OOP, FP, and DOP, and a thorough consideration of the 'fusion of paradigms' as the optimal solution in modern development.

Featured image of post B-Tree and Database Index Theory (Why DBs Choose B-Tree)

B-Tree and Database Index Theory (Why DBs Choose B-Tree)

A deep dive into the theory, data structures, and disk I/O relationships of B-Tree and B+Tree, which form the foundation of database indexes, and why RDBMS continues to adopt B-Tree as the index standard, accompanied by mathematical analysis and implementation examples.

Featured image of post Graph Theory and Dijkstra / A* Algorithms: Mathematical Foundations and Implementation of Pathfinding

Graph Theory and Dijkstra / A* Algorithms: Mathematical Foundations and Implementation of Pathfinding

A comprehensive guide starting from the basics of graph theory, covering the mathematical background, data structures, and Python implementations of Dijkstra's algorithm and the A* algorithm in shortest path problems.

Featured image of post The Depths of the Byzantine Generals Problem and Consensus Algorithms: How Paxos, Raft, and BFT Work

The Depths of the Byzantine Generals Problem and Consensus Algorithms: How Paxos, Raft, and BFT Work

An in-depth exploration of consensus algorithms, the foundation of distributed systems, from the origins of the Byzantine Generals Problem to Paxos, Raft, and BFT, which is resilient against malicious nodes, complete with theory, mathematical proofs, and code implementations.

Featured image of post How Quantum Computers Work and Shor's Algorithm: Why Quantum Computing Can Break Cryptography?

How Quantum Computers Work and Shor's Algorithm: Why Quantum Computing Can Break Cryptography?

A deep dive into the basics of quantum computing, and the mathematical and quantum mechanical mechanisms of Shor's Algorithm, which poses a threat to RSA cryptography. This comprehensive guide includes implementation examples using Qiskit and discusses the future prospects of post-quantum cryptography.

Featured image of post The Full Picture of the 'P vs NP Problem' and Computational Complexity Classes: Explanation of the Millennium Prize Problem and Its Significance in Programming

The Full Picture of the 'P vs NP Problem' and Computational Complexity Classes: Explanation of the Millennium Prize Problem and Its Significance in Programming

We deeply explore the 'P vs NP problem', one of the Millennium Prize Problems, from the basics of computational complexity classes (P, NP, NP-Complete, NP-Hard) to the latest research trends, and its impact on programming and cryptography.

Featured image of post The Origins of Lambda Calculus and Functional Programming: From Alonzo Church's Theory to Lisp and Haskell

The Origins of Lambda Calculus and Functional Programming: From Alonzo Church's Theory to Lisp and Haskell

How lambda calculus, the foundational theory of computation, evolved into modern functional programming languages. A thorough explanation of the history and mathematical foundations from Alonzo Church's theory to the birth of Lisp and Haskell.

Featured image of post Turing Machines and Computability Theory: Alan Turing's Thought Experiment and the 'Halting Problem'

Turing Machines and Computability Theory: Alan Turing's Thought Experiment and the 'Halting Problem'

What are the limits of computation? We delve deeply into the concept of the Turing machine proposed by Alan Turing and the 'halting problem', a monumental pillar of computability theory, from mathematical and programmatic perspectives.