define usual metric space on R
Answer (1)
30th Nov, 2019
A
metric space
is a set
X
together with a function
d
(called a
metric
or "distance function") which assigns a real number
d
(
x
,
y
) to every pair
x
,
y
such that
X
satisfies the properties (or
axioms
):
Now replace X by R .You will get your required definition
- d ( x , y ) >= 0 and d ( x , y ) = 0 <=> x = y ,
- d ( x , y ) = d ( y , x ),
- d ( x , y ) + d ( y , z ) >= d ( x , z )
Now replace X by R .You will get your required definition
Comments (0)
Related Questions
what is mathematics ? define it.
34 Views
Is r d sharma for maths very best
62 Views
