The Euclidean algorithm is one of the oldest algorithms in mathematics — described by Euclid around … Euclidean Algorithm Explained: Definition, Steps and ApplicationsRead more
Competitions
COMC 2026: Dates, Registration, Format and Preparation Guide
The Canadian Open Mathematics Competition (COMC 2026) is one of the most important mathematics competitions available … COMC 2026: Dates, Registration, Format and Preparation GuideRead more
Ceva’s Theorem Explained: Definition, Proof and Applications
Ceva’s theorem is one of the most elegant and useful results in triangle geometry. It gives … Ceva’s Theorem Explained: Definition, Proof and ApplicationsRead more
Rules of Divisibility Explained: Complete Guide with Examples
The rules in divisibility are a set of shortcuts that tell you whether one number divides … Rules of Divisibility Explained: Complete Guide with ExamplesRead more
COMC 2025: Results, Past Papers and What They Mean for 2026 Prep
The Canadian Open Mathematics Competition (COMC) 2025 has been written. Results have been distributed. For students … COMC 2025: Results, Past Papers and What They Mean for 2026 PrepRead more
Perfect Numbers Explained: Definition, Examples and Unsolved Questions
6 is the smallest perfect number. Its proper divisors — the positive divisors other than itself … Perfect Numbers Explained: Definition, Examples and Unsolved QuestionsRead more
The Millennium Prize Problems: Math’s $1 Million Questions
In the year 2000, the Clay Mathematics Institute in Cambridge, Massachusetts, announced seven mathematical problems and … The Millennium Prize Problems: Math’s $1 Million QuestionsRead more
Jensen’s Inequality Explained: Definition, Proof and Applications
Jensen’s inequality is one of the most important and widely applicable inequalities in mathematics. It generalises … Jensen’s Inequality Explained: Definition, Proof and ApplicationsRead more
De Moivre’s Theorem Explained: Definition, Proof and Applications
De Moivre’s theorem is one of the most elegant results in mathematics — a single compact … De Moivre’s Theorem Explained: Definition, Proof and ApplicationsRead more
Change of Base Formula Explained: Definition, Proof and Examples
The change of base formula is one of the most practically useful tools in logarithm algebra. … Change of Base Formula Explained: Definition, Proof and ExamplesRead more
