My Math Forum  

Go Back   My Math Forum > College Math Forum > Topology

Topology Topology Math Forum


Reply
 
LinkBack Thread Tools Display Modes
March 20th, 2018, 11:04 AM   #1
Banned Camp
 
Joined: Dec 2017
From: Tel Aviv

Posts: 87
Thanks: 3

triangle inequality

I don't understand the 4 rules of materic in Wikipedia in the address:
https://en.wikipedia.org/wiki/Metric_(mathematics)
In the definition section.
How I can understand the triangle inequality of metric?
policer is offline  
 
March 20th, 2018, 12:09 PM   #2
Senior Member
 
Joined: Aug 2012

Posts: 1,887
Thanks: 525

The distance from Tel Aviv to Haifa is less than (the distance from Tel Aviv to Ashdod plus the distance from Ashdod to Haifa).

It's a triangle. The straight line between two points is shorter than going to an intermediate point first and then from the intermediate point to the destination.

The triangle inequality is just an abstraction of this common sense idea.
Maschke is offline  
Reply

  My Math Forum > College Math Forum > Topology

Tags
inequality, triangle



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Triangle Inequality: Prove Absolute Value Inequality StillAlive Calculus 5 September 2nd, 2016 11:45 PM
a triangle inequality Albert.Teng Algebra 2 December 18th, 2013 04:44 AM
triangle inequality Albert.Teng Algebra 20 August 16th, 2013 04:43 PM
triangle inequality mathrookie2012 Applied Math 0 January 29th, 2012 03:57 PM
triangle inequality mathrookie2012 Real Analysis 2 January 28th, 2012 07:25 AM





Copyright © 2018 My Math Forum. All rights reserved.