theMathex Blog | Math Tutorials, Tips, and Calculator Guides

Erdős Unit-Distance Problem: How AI Disproved an 80-Year-Old Conjecture

Learn what the Erdős unit-distance problem is, why it remained unsolved for nearly 80 years, how AI disproved the conjecture, and how mathematicians verified the result.

OpenAI Astra and the Navier-Stokes Equation: How AI Solved It

Discover how OpenAI Astra tackled the Navier-Stokes equation, what the equations describe, how AI constructed the proof, and why mathematicians are questioning the result.

Euclidean vs Non-Euclidean Geometry: Definitions, Axioms and Real Examples

Learn what Euclidean and non-Euclidean geometry mean, their axioms, key differences, and real-world examples — from GPS satellites to Escher's art.

Euler's Method Explained: Approximating Solutions to Differential Equations

Learn Euler's method step-by-step with worked examples, the formula, and common mistakes. Understand how this numerical method approximates solutions to differential equations.

Critical Points in Calculus: Definition, Steps & Calculator

Learn what a critical point is, how to find critical points using a 5-step method, and how to classify them. Includes a free critical points calculator.

Eigenvalues and Eigenvectors: A Beginner Friendly Guide

Master Eigenvalues and Eigenvectors with step-by-step explanations, solved examples, formulas, matrix calculations, and easy-to-understand concepts for students, engineers, and data science learners.

Simplifying Fractions: The Fastest Method (Works Every Time)

Learn how to simplify fractions step by step using factors, GCF, and prime factorization. Examples, methods, and tips for simplifying fractions easily.

Rate Of Change Of A Function

Learn how to find the rate of change of a function with simple explanations, examples, and practical applications.

What Is Logarithm?

Learn what a logarithm is in math with a simple explanation, formulas, rules, and step-by-step examples. Understand common and natural logarithms easily.

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Revolution in Math Calculators!

Let's discover what actually the reason why people switching to online calculators: speed, convenience and ease-of-use.

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