modulo division with negative power ? - Page 2

science_man_88 · 2012-01-05, 18:45

Quote:

Originally Posted by R.D. Silverman

???

(1) g(0) is well defined for g(x) = x^2-3, so why exclude it?

I can tell you this from what was described in the don blazy threads x^-29 = 1/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0/0 for x=0 no ? a lot of illegal divisions by 0 there.

LaurV · 2012-01-05, 18:46

Quote:

Originally Posted by R.D. Silverman

(1) g(0) is well defined for g(x) = x^2-3, so why exclude it?

it may be that f not defined there ? (well, don't tell me that 0 at any power, including negative, is zero)

R.D. Silverman · 2012-01-05, 19:16

Quote:

Originally Posted by LaurV

it may be that f not defined there ? (well, don't tell me that 0 at any power, including negative, is zero)

It is indeed possible/(highly probable!) that f is not defined at 0. But since
the domain is unspecified, we don't know.

R.D. Silverman · 2012-01-05, 19:26

Quote:

Originally Posted by LaurV

it may be that f not defined there ? (well, don't tell me that 0 at any power, including negative, is zero)

It is indeed possible/(highly probable!) that f is not defined at 0. But since
the domain is unspecified, we don't know. OTOH, one can construct
domains where f(0) is defined. It starts to get weird here.
[e.g. consider the division points of an abelian variety defined over the projective Riemann sphere]

S34960zz · 2012-01-05, 20:22

2 + 2 = 3, for sufficiently small values of 2.

*nod*

R.D. Silverman · 2012-01-05, 21:32

Quote:

Originally Posted by S34960zz

2 + 2 = 3, for sufficiently small values of 2.

*nod*

?????????????????

This was a nice conversation. What compelled you to inject spam?

science_man_88 · 2012-01-05, 21:55

Quote:

Originally Posted by R.D. Silverman

It is indeed possible/(highly probable!) that f is not defined at 0. But since
the domain is unspecified, we don't know. OTOH, one can construct
domains where f(0) is defined. It starts to get weird here.
[e.g. consider the division points of an abelian variety defined over the projective Riemann sphere]

thanks for this comment it spurred me to look up those preliminaries again on my new computer. I think I get a little more of the puzzle of functions because the notation looks similar to sets as it's performed on sets and it also now looks familiar to the notation of equivalence classes which kinda helps I think.

xilman · 2012-01-05, 22:52

Quote:

Originally Posted by R.D. Silverman

?????????????????

This was a nice conversation. What compelled you to inject spam?

It's an old and, IMO, rather poor joke. Just ignore him/her/it.

S34960zz · 2012-01-05, 23:52

Quote:

Originally Posted by R.D. Silverman

?????????????????

This was a nice conversation. What compelled you to inject spam?

Apologies to the thread. Further discussion moved to PM.

davieddy · 2012-01-06, 00:41

Quote:

Originally Posted by S34960zz

2 + 2 = 3, for sufficiently small values of 2.

*nod*

Quote:

Originally Posted by R.D. Silverman

?????????????????

This was a nice conversation. What compelled you to inject spam?

Quote:

Originally Posted by xilman

It's an old and, IMO, rather poor joke. Just ignore him/her/it.

Quote:

Originally Posted by S34960zz

Apologies to the thread. Further discussion moved to PM.

Well it made me smile for a mo

Bob strikes again!

David

fivemack · 2012-01-06, 08:30

(puts on moderator's hat)
(picks up staff of office)

Davieddy, it would improve the state of the world were you to refrain from posting any more of this kind of content-free dig at RDS.

Damn, that staff of office is heavy. And who designed the hat? Turquoise lace is fine in its place, but with crimson spangles?

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2012-01-05, 20:22	#16
S34960zz Feb 2011 2²×13 Posts	2 + 2 = 3, for sufficiently small values of 2. nod

2012-01-06, 08:30	#22
fivemack (loop (#_fork)) Feb 2006 Cambridge, England 3×2,141 Posts	(puts on moderator's hat) (picks up staff of office) Davieddy, it would improve the state of the world were you to refrain from posting any more of this kind of content-free dig at RDS. Damn, that staff of office is heavy. And who designed the hat? Turquoise lace is fine in its place, but with crimson spangles?