The Most Famous Floor Function Identity: Hermite's Identity Explained + Proof #jee #iit

What is Hermite's Identity, and why is it the most famous formula involving the floor function? In this video, we break down this fundamental mathematical identity step-by-step. We will look at the definition, write out the expanded form, go through a complete and easy-to-follow proof using fractional parts, and look at some practical examples to see it in action. #DiscreteMath #MathProof #NumberTheory #Hermite