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Basics

Algorithm

A precise, finite sequence of instructions for solving a problem – the basis of all software, from search results to AI decisions.

Algorithms are the invisible foundation of the digital world. Every Google search, every Spotify recommendation, every GPS route is based on algorithms. In software development, choosing the right algorithm drives performance, scalability and user experience. In the age of AI, algorithms take on a new role: they learn from data and make decisions on their own.

What is Algorithm?

An algorithm is a precise, finite sequence of instructions that turns a defined input into a desired output. Algorithms solve problems systematically: sorting data, finding the shortest path, encrypting messages or recognising patterns in images. They must be unambiguous (each step is clearly defined), finite (the algorithm terminates after finitely many steps) and general (they solve a class of problems, not just one case). In practice algorithms are implemented in programming languages such as Python, Java or TypeScript.

How does Algorithm work?

An algorithm takes input, processes it according to fixed rules and produces output. Example sorting: input is an unsorted list of numbers; the algorithm compares and swaps elements by defined rules; output is the sorted list. Efficiency is measured with Big O notation: O(n log n) for efficient sorting, O(n²) for naive. In machine learning, the algorithm learns its rules from training data instead of a developer programming them manually.

Practical Examples

1

Google PageRank: Scores relevance of web pages from link structure and thus determines search result order.

2

Dijkstra's algorithm: Finds the shortest path in a graph – basis for every navigation app and logistics planning.

3

AES encryption: Symmetric encryption algorithm securing data with 128, 192 or 256 bits – standard for HTTPS and data protection.

4

TF-IDF: Scores importance of terms in documents – foundation of many search engines and text analysis.

5

Gradient descent: Optimisation algorithm that trains neural networks by gradually minimising error.

Typical Use Cases

Search and recommendation: Filter relevant results from billions of data points

Cryptography and security: Encrypt and decrypt data to protect sensitive information

Routing and logistics: Compute optimal routes considering cost, time and capacity

Machine learning: Algorithms that learn from data and produce predictions, classifications or recommendations

Image processing: Object detection, face recognition and medical image analysis

Advantages and Disadvantages

Advantages

  • Systematic problem-solving: Complex tasks are broken into manageable steps
  • Reproducibility: Same input always yields same output (for deterministic algorithms)
  • Scalability: Efficient algorithms process billions of data points in seconds
  • Automation: Repetitive tasks are solved without human intervention

Disadvantages

  • Bias risk: AI algorithms can inherit and amplify bias from training data
  • Opacity: Complex algorithms (e.g. deep learning) are hard to interpret (black box)
  • Limited flexibility: Classical algorithms fail at tasks requiring human intuition
  • Resource use: Complex algorithms need significant compute and energy

Frequently Asked Questions about Algorithm

What is the difference between an algorithm and a program?

An algorithm is an abstract solution strategy, independent of programming language. A program is the concrete implementation of an algorithm in a language like Python, Java or TypeScript. An algorithm can be described in pseudocode or a flowchart – a program is executable code.

Can algorithms be creative?

Generative AI algorithms (e.g. GPT, DALL-E) produce text, images and music that appear creative. Technically they combine learned patterns in new ways. Whether that is true creativity is debated; in practice they deliver strong results in design, content creation and problem-solving.

Why does algorithm efficiency matter?

Efficiency determines how well an algorithm scales as data grows. An O(n²) algorithm that takes 1 second for 1,000 records can take about 11.5 days for 1 million. An O(n log n) algorithm might finish in 20 seconds. For big-data applications, algorithm choice determines feasibility and cost.

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What is an Algorithm? Definition, Examples & Importance