Easy Way to See Reverse Triangle Inequality


To Show

Easy Way To See It

Remember that the absolute value/norm of the difference of 2 vectors is the distance between them. Rewrite as and as .

Now we want to show $$d( x , y ) \leq d(x, y)$$.

But this is obvious. Making both terms the same sign can only put them on the same side of the number line, which can never increase the distance between them.

And this is why I prefer to .

Related Posts

How to Disable Disqus Ads on your Blog

Derivation of Reservoir Sampling

Fun with Python Iterators: Linked Lists Made Easy

Notes for November 11, 2018

Underrated Vim Option: undofile and undodir

Hot Take on Solo Travel: Starve

Alan Perlis

Book Notes: The Map of My Life by Goro Shimura

Prague

Way to remember the definition of local finiteness