Buka Knowledge

Sign in Subscribe

Algorithm

Merkle Trees: The Invisible Backbone of Fast, Reliable Change Detection

Merkle Trees: The Invisible Backbone of Fast, Reliable Change Detection

Modern developer tools feel instant. Git detects changes immediately, databases replicate efficiently, and collaborative editors stay in sync with minimal bandwidth. Behind many of these systems lies a deceptively simple idea: the Merkle tree. This article explains what Merkle trees are, why they matter, how they work in real systems,

Unlocking the Power of Binary Search: Why It’s Efficient and When to Use It

Unlocking the Power of Binary Search: Why It’s Efficient and When to Use It

When it comes to searching for a specific value in a dataset, many people rely on brute force methods like linear search, scanning through each element one by one. While this works, it becomes painfully slow for large datasets. Enter binary search, a powerful algorithm that can significantly reduce search

Mastering Merge Sort in PHP: A Step-by-Step Guide

Mastering Merge Sort in PHP: A Step-by-Step Guide

Merge Sort is one of the most efficient sorting algorithms, especially useful for handling large datasets due to its predictable $O(n \log n)$ performance. Unlike simpler algorithms, Merge Sort divides the problem, conquers each part recursively, and combines them in sorted order. Today, we'll dive into how

Understanding Big O Notation: The Key to Algorithm Efficiency

Understanding Big O Notation: The Key to Algorithm Efficiency

In the world of programming and computer science, efficiency is paramount. As developers, we often need to ensure that our code runs as quickly and effectively as possible, especially when handling large datasets. One of the fundamental concepts that help us gauge the performance of algorithms is Big O notation.

Mastering Sorting: Understanding and Implementing Insertion Sort in PHP

Mastering Sorting: Understanding and Implementing Insertion Sort in PHP

Sorting algorithms are fundamental to computer science, enabling us to arrange data in a meaningful way. Among the various sorting techniques, insertion sort stands out for its simplicity and efficiency, particularly when dealing with small or partially sorted datasets. In this article, we will explore the intricacies of the insertion

Understanding Selection Sort: A Beginner's Guide to Sorting Algorithms

Understanding Selection Sort: A Beginner's Guide to Sorting Algorithms

Sorting algorithms are fundamental to computer science, and among the many sorting techniques available, selection sort is one of the simplest and most intuitive. This article will guide you through the selection sort algorithm, providing a clear understanding of how it works and how you can implement it in PHP.