Real analysis metric norm questions

Mathematics
Tutor: None Selected Time limit: 1 Day

Apr 27th, 2015

we have x , y c E with E on the IR espace vectoriel  d(x,y) is a distance if the three condition are verified : 

1. we take x,y c E ; we have d(x,y)= 0  => x=y  the first condition verified 

2.  we take x,y c E ; we have d(x,y)= |x|+|y| = |y|+|x|= d(y,x)  the second condition verified 

3. we take x,y,z c E ; we have d(x,z) =|x|+|z| =| |x|+|y|-|y|+|z| | <= |x|+|y|+|y|+|z| <= d(x,y) + d(y,z) the third condition virified 

So the d(x,y) is a distance in E So E is an espace metric

Good Luck and if need somthing else tell me 

Apr 27th, 2015

For some reason i did not write the question down! It was actualy show that d does not make a norm ive been having troble proving that

Apr 27th, 2015

Can you please help me out will rate  this quickly after

Apr 27th, 2015

yes of course ,after how do you find my answer is good  ?

Apr 27th, 2015

Are you studying on the go? Check out our FREE app and post questions on the fly!
Download on the
App Store
...
Apr 27th, 2015
...
Apr 27th, 2015
Dec 4th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer