Proofs

Explore all lectures and proofs categorized under Proofs.

Showing 8 lectures

Learn 30-Second Magic Box Trick (And Be a Genius)

Pick ANY number. In under 30 seconds, this grid will add up to it in every direction—rows, columns, diagonals, …

#Mathematics #Proofs

The Story: The 2,500-Year Quest for Integer Right Triangles The Pythagorean Theorem, $a^2 + b^2 = c^2$, is …

#Number Theory #Pythagorean Triples

Picture this: you’re sitting in a dead-silent examination hall when a proctor scrawls a monstrous quartic …

#Mathematics #Proofs

You’re sitting at an intersection at 2:00 in the morning, foot pressed against the brake pedal, staring up at …

#Mathematics #Proofs

At first glance, the equation $9^x + (-3)^x = 702$ looks like an impossible exam trap designed to make you …

#Mathematics #Proofs

The Story: The Secret Machinery Behind Mental Math Shortcuts In grade school, we were all taught rapid …

#Number Theory #Divisibility

Every number in existence belongs to one of two opposing camps: the dependable, well-behaved rational numbers …

#Number Theory #Number Rules

Mathematical Principles & Proof Outline Let $f(x)$ be defined over the field \mathbb{R}. We analyze the …

#Mathematics #Proofs