The Cauchy-Schwarz inequality is one of the most widely used and most versatile inequalities in mathematics. … Cauchy-Schwarz Inequality Explained: Definition, Proof and ApplicationsRead more
Math Skills
Acute and Obtuse Triangles Explained: Definitions, Properties and Examples
Every triangle belongs to one of three categories based on its angles: acute, right, or obtuse. … Acute and Obtuse Triangles Explained: Definitions, Properties and ExamplesRead more
Euclid Past Contests: A Complete Study Guide
The Euclid Contest is one of the most rigorous and consequential mathematics competitions available to Canadian … Euclid Past Contests: A Complete Study GuideRead more
Fundamental Theorem of Algebra Explained
Every polynomial equation has a solution. Not every solution looks the way you might expect — … Fundamental Theorem of Algebra ExplainedRead more
The Goldbach Conjecture: Math’s Most Famous Unsolved Problem
In 1742, the mathematician Christian Goldbach wrote a letter to Leonhard Euler — widely regarded as … The Goldbach Conjecture: Math’s Most Famous Unsolved ProblemRead more
Polynomial Remainder Theorem Explained: Definition, Proof and Examples
The polynomial remainder theorem is one of the most elegant shortcuts in algebra. Instead of performing … Polynomial Remainder Theorem Explained: Definition, Proof and ExamplesRead more
Rational Root Theorem Explained: Definition, Steps and Examples
The rational root theorem is one of the most practical tools in polynomial algebra. It narrows … Rational Root Theorem Explained: Definition, Steps and ExamplesRead more
Contrapositive Explained: A Guide to Mathematical Logic and Proof
The contrapositive is one of the most useful tools in mathematical proof — and one of … Contrapositive Explained: A Guide to Mathematical Logic and ProofRead more
Triangle Inequality Theorem Explained: Definition, Proof and Examples
The triangle inequality theorem is one of the most fundamental results in geometry — and one … Triangle Inequality Theorem Explained: Definition, Proof and ExamplesRead more
Pythagorean Triples Explained: Definition, List, and How to Use Them
Pythagorean triples are a set of three positive integers (a, b, c) that satisfy the Pythagorean … Pythagorean Triples Explained: Definition, List, and How to Use ThemRead more
