Question

please can someone teach me metric space balls in R^2 with examples ?

Answer 1

D^2

Answer 2

@zzr0ck3r

Answer 3

D^2

Answer 4

balls in R^2 are disks (a circle with the stuff inside). If it is a closed ball we include the outline, if it is not, we don't.

Answer 5

ok . please give examples

Answer 6

imagine that is filled in.

Answer 7

bbiab going to eat.

All balls will look like that...

Answer 8

good job @zzr0ck3r

Answer 9

ok

Answer 10

i kinow that if i am given a B(15,0.5) THEN THE answer is 15. in a discrete metric but please give such examples in R^2

Answer 11

welcome back @zzr0ck3r

Answer 12

I have given you examples.

Answer 13

not a picture

Answer 14

in R^2 take any point a and radius b then B(a,b) is the disk centered at a with radius b

Answer 15

\[B((a_0,a_1),b)=\{(x_0,x_1)\in R^2\mid \sqrt{(x_0-a_0)^2+(x_1-a_1)^2} < b\}\]

Answer 16

ok

Answer 17

B((1,0),4)