Fast proof of triangle inequalities for real numbers

preview_player
Показать описание
All the sources, I've seen, prove these inequalities by going through several cases. The approach presented here covers all cases at once. Also it proves the condition of turning the inequalities into equalities often missing in other proofs.

#geometry #inequality
  1. Think logically!
  2. algebra
  3. inequality
  4. triangle
  5. алгебра
  6. неравенство
Рекомендации по теме
Fast proof of 0:05:23

Fast proof of triangle inequalities for real numbers

Proof: Triangle Inequality 0:05:30

Proof: Triangle Inequality Theorem | Real Analysis

A quick proof 0:00:48

A quick proof of the triangle inequality

Can You Prove 0:03:01

Can You Prove the Triangle Inequality?

Triangle Inequality for 0:03:08

Triangle Inequality for Real Numbers Proof

Linear Algebra, Lesson 0:13:28

Linear Algebra, Lesson 5, Video 16: Proof of Triangle Inequality

GMAT Geometry -- 0:00:45

GMAT Geometry -- Triangle Inequality Theorem -- Better Drawn Out!

Triangle Inequality 0:13:08

Triangle Inequality

How to prove 0:09:35

How to prove the triangle inequality and reverse triangle inequality (without using triangles)

Intro to Proofs 0:12:37

Intro to Proofs - Inequalities - Triangle Inequality

CALCULUS. Proof Triangle 0:07:27

CALCULUS. Proof Triangle Inequality (#5)

Prove the Triangle 0:14:19

Prove the Triangle Inequality (Real Number Case)

6.6 Triangle Inequality 0:10:22

6.6 Triangle Inequality Theorem

Triangle Inequality for 0:03:51

Triangle Inequality for ANY Inner Product Space (Proof)

30 Vector triangle 0:10:28

30 Vector triangle inequality #Math #Linear #algebra

Triangle Inequality Theorem 0:01:01

Triangle Inequality Theorem #trickymaths #advanced #tricks #basics #challenging #concept

Proving the Triangle 0:03:53

Proving the Triangle Inequality for Vectors in R^n

Which can be 0:00:34

Which can be lengths Triangle Inequality Theorem

Visual Cauchy-Schwarz Inequality 0:01:01

Visual Cauchy-Schwarz Inequality

⚠️TRIANGLE INEQUALITY PROOF 0:00:59

⚠️TRIANGLE INEQUALITY PROOF in 1 MINUTE, Real numbers, Calculus inequalities, #shorts

The Triangle Inequality 0:11:49

The Triangle Inequality Theorem and It's Proof

Triangle Inequality Theorem 0:03:20

Triangle Inequality Theorem

The Triangle inequality 0:06:05

The Triangle inequality on The Real Numbers

Reverse Triangle Inequality 0:04:46

Reverse Triangle Inequality Proof (7 Solutions!!)

Комментарии
Автор

There is a minor glitch in the video. In the inequality |𝑎−𝑏|≥||𝑎|−|𝑏|| the outer vertical bars in the right-hand side can be removed. This gives inequality |𝑎−𝑏|≥|𝑎|−|𝑏| which is also correct, but weaker. I've noticed that immediately after uploading, but just didn't want to go through uploading again.

think_logically_