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anonymous

  • one year ago

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

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  1. anonymous
    • one year ago
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    D^2

  2. anonymous
    • one year ago
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    @zzr0ck3r

  3. trwatkins1
    • one year ago
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    D^2

  4. zzr0ck3r
    • one year ago
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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.

  5. anonymous
    • one year ago
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    ok . please give examples

  6. zzr0ck3r
    • one year ago
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    |dw:1442530182678:dw| imagine that is filled in.

  7. zzr0ck3r
    • one year ago
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    bbiab going to eat. All balls will look like that...

  8. trwatkins1
    • one year ago
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    good job @zzr0ck3r

  9. anonymous
    • one year ago
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    ok

  10. anonymous
    • one year ago
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    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

  11. anonymous
    • one year ago
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    welcome back @zzr0ck3r

  12. zzr0ck3r
    • one year ago
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    I have given you examples.

  13. anonymous
    • one year ago
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    not a picture

  14. zzr0ck3r
    • one year ago
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    in R^2 take any point a and radius b then B(a,b) is the disk centered at a with radius b

  15. zzr0ck3r
    • one year ago
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    \[B((a_0,a_1),b)=\{(x_0,x_1)\in R^2\mid \sqrt{(x_0-a_0)^2+(x_1-a_1)^2} < b\}\]

  16. anonymous
    • one year ago
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    ok

  17. zzr0ck3r
    • one year ago
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    B((1,0),4) |dw:1442534124499:dw|

  18. zzr0ck3r
    • one year ago
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    without the border on the circle

  19. anonymous
    • one year ago
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    ok thanks. so that should be open ? what about close?

  20. zzr0ck3r
    • one year ago
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    change the < to \(\le\) and include the border on the picture

  21. anonymous
    • one year ago
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    ok, thanks very much sir

  22. zzr0ck3r
    • one year ago
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    of course

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