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Name: Anonymous 2008-02-28 7:17



        if x > 0 , {x} ∩ ƒ(x-1)

ƒ(x) → <

        if x <= 0,  ø



ƒ(x) → (0, x] ∩ N

Are these correct?

Name: Anonymous 2008-02-28 9:18

ƒuck

Name: Anonymous 2008-02-28 10:12

>>1
top one's always null set. Did you mean for that to be a union?

Name: Anonymous 2008-02-28 10:13

>>3
Most likely >>1 ment U not ∩.

Name: Anonymous 2008-02-28 10:16

>>3 here
>>1
Correct is vague.
They are, however not identical.
The first allows negative numbers, while the second does not.
So, if we name them f and g,
f(3) = g(3), but f(-1) = ø while g(-1) is incorrect.

Name: Anonymous 2008-02-28 21:44

>>5
The two are only equivalent if you assume OP meant union instead of intersection and you take x to be in N.

If you let x be in R, then f(4.3) = {4.3, 3.3, 2.2, 0.3} by the top definition, and {4, 3, 2) by the bottom.

Name: Anonymous 2008-02-29 7:26

>>6
Incorrect, f(4.3) = { 4.3 3.3 2.3 1.3 0.3 }

Name: Anonymous 2008-02-29 7:58

∩iggers

Name: Anonymous 2008-02-29 9:06

>>2,8

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1 Name: Anonymous 2008-02-28 7:17

2 Name: Anonymous 2008-02-28 9:18

3 Name: Anonymous 2008-02-28 10:12

4 Name: Anonymous 2008-02-28 10:13

5 Name: Anonymous 2008-02-28 10:16

6 Name: Anonymous 2008-02-28 21:44

7 Name: Anonymous 2008-02-29 7:26

8 Name: Anonymous 2008-02-29 7:58

9 Name: Anonymous 2008-02-29 9:06