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

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

Mathematics
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D^2
D^2

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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.
ok . please give examples
|dw:1442530182678:dw| imagine that is filled in.
bbiab going to eat. All balls will look like that...
good job @zzr0ck3r
ok
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
welcome back @zzr0ck3r
I have given you examples.
not a picture
in R^2 take any point a and radius b then B(a,b) is the disk centered at a with radius b
\[B((a_0,a_1),b)=\{(x_0,x_1)\in R^2\mid \sqrt{(x_0-a_0)^2+(x_1-a_1)^2} < b\}\]
ok
B((1,0),4) |dw:1442534124499:dw|
without the border on the circle
ok thanks. so that should be open ? what about close?
change the < to \(\le\) and include the border on the picture
ok, thanks very much sir
of course

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