sci.math Google Group

Re: Why do (2 -x) and (x +1)/2 commute?

alainvergh...@gmail.com (alainverghote@gmail.com) — Sat, 22 Nov 2008 12:01:43 UT

Dear Friends,
we must be very careful about habits :
it seems to me that when speaking about iteration
there too much concern upon fixed points.
1)Id(x) might be seen as a zero power :
f^[0] (x )= x since we don't use the mapping,
the argument x doesn't change...
2) I think you are a bit 'contradictory' :

Algebra with p-tuple.

mina_wo...@hanmail.net (mina_world) — Sat, 22 Nov 2008 11:43:37 UT

Hello teacher~
p is a prime.
Fix a p-tuple
(x_1, x_2, ... , x_p) , (x_i's are not necessarily distinct.)
except x_1 = x_2 = ... = x_p.
------------------------------ ------------------------------ -------------------
(x_1, x_2, ... , x_p)
(x_2, x_3, ... , x_1)
(x_3, x_4, ... , x_2)
...
(x_p, x_1, ... , x_(p-1))

Re: A consideration concerning the diagonal argument of G. Cantor

dform...@usyd.edu.au (David Formosa (aka ? the Platypus)) — Sat, 22 Nov 2008 11:19:54 UT

[...]
A universal law would apply in all situations. For example "A == A"
is a universal truth. "A natural number has a successor" is also
universally true. "For every natural number x: x + s(0) = s(x)" is
also universtally true.

Re: Fiber product topologies

ma...@rdrop.remove.com (William Elliot) — Sat, 22 Nov 2008 11:07:17 UT

As I'm composing off line, I can only reply to the context I remember.
IIRC, f:X -> Z and g:Y -> Z are continuous functions.
X,Y are compact. Are f,g suppose to be surjections?
What you write is a diagonal D = D_f,g. D is closed if Z is Hausdorff.
The projections of D are the projections of XxY restricted to D

Re: Minimize the optimization function

nikl...@gmail.com — Sat, 22 Nov 2008 10:46:57 UT

Both the xi's and yi's are variables .
That was a mistake. It should be positive because the number of towers
is fixed .
Thanks for the links.

Re: Mina is beautiful.

mina_wo...@hanmail.net (mina_world) — Sat, 22 Nov 2008 10:41:40 UT

In fact, my question is the title.

The Constitution of the Kingdom of God, Earth (www.grishenkoff.com)

jewd...@googlemail.com (Prime Minister of the Kingdom of God) — Sat, 22 Nov 2008 10:40:14 UT

The Constitution of the Kingdom of God, Earth ([link])

Re: Relationship between polynomial of Galois group "[2^4]E(4)" and a polynomial of degree 16.

gerry...@gmail.com (Gerry) — Sat, 22 Nov 2008 10:31:47 UT

Maybe an example helps :
Consider the polynomial of degree 24 which i generated using f1 and
f2 for b=1 and c=1:
H(x)=x^24 + 12*x^23 + 66*x^22 + 220*x^21 + 495*x^20 + 792*x^19 +
924*x^18 + 792*x^17 + 495*x^16 + 220*x^15 + 66*x^14 + 12*x^13 + x^12 +
1
H*x) factors into f1, an irreducible polynomial of degree 8 of galois

Re: A common speculation

tonic...@yahoo.com (Tonico) — Sat, 22 Nov 2008 10:30:06 UT

****************************** ****************************** *
Uh?
****************************** ****************************** *
****************************** ******************************
Who assumes this? What for? Is it mathematics?
****************************** ******************************
****************************** ******************************

Re: A consideration concerning the diagonal argument of G. Cantor

dform...@usyd.edu.au (David Formosa (aka ? the Platypus)) — Sat, 22 Nov 2008 10:12:17 UT

On Fri, 21 Nov 2008 19:09:18 -0800, Ross A. Finlayson
[...]
Russell's set isn't a set. Any system that permits Russell's set and
has no way to resolve its paradox is broken.

Re: A consideration concerning the diagonal argument of G. Cantor

dform...@usyd.edu.au (David Formosa (aka ? the Platypus)) — Sat, 22 Nov 2008 09:51:17 UT

[...]
Can you point me to resources explaining reasonable uses of this term.

Re: 1963 imo question

ma...@rdrop.remove.com (William Elliot) — Sat, 22 Nov 2008 09:41:57 UT

2x^2 - 4 + p
4x^4 - 16x^2 + 4px^2 + 16 - 8p + p^2 = 4x^2 (x^2 - p)
-16x^2 + 4px^2 + 16 - 8p + p^2 = -4px^2
Bye bye x^4. BTW, did you see x^3 ?
Naw, after all that algebra, the easy part is what follows.
x^2 = -(p + 2)/8, p /= 2
Oh oh. That dag nab checking.

A common speculation

eckard.blumsch...@arcor.de (Salviati) — Sat, 22 Nov 2008 09:15:37 UT

In economy, speculation bubbles are frequently getting obvious.
What about speculations affecting the basics of mathematics and physics?
I refer to a most common but unseen speculation: Apriority alias given by
god.
Spacetime is assumed to a priori exist in advance.
In present mainstreram mathematics, all numbers are also assumed

Re: Mina is beautiful.

ma...@rdrop.remove.com (William Elliot) — Sat, 22 Nov 2008 09:09:05 UT

droll
drollier
droller
"Hello teacher, is this a proposition?"
is not a proposition. It's a question.
Any body who reads English and knows a little bit of grammar.
That's a question with an inadequate partial answer.
Statements are true or false.
Proofs are not true or false, They are correct or incorrect.

Re: Absolute beginning

a...@muc.de (Alan Mackenzie) — Sat, 22 Nov 2008 08:58:14 UT

Morning, David!
Maybe the forces existing at that time could have caused a sort of
"inversion" of space, so that the beings "living" in that era might well
have perceived the Planck distance much as we perceive the visible
universe. Perhaps they even called it the "max Planck distance". Who
knows?