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From: spudnik on 29 May 2010 22:00
I finally read-up on "the basics," and it is all covered
by two relationships amongst them: a)
reciprocal functions, and b)
cofunctions. in other words,
do that, firstly!

on the wayside,
the sine of the dihedral angle of the icosahedron is not 0.666!

the homework is to find the minimal set of functions
for tetrahedronometry. but, I'd advise learning spherical
trig., first of all because planar is a subset thereo,
secondly "or be totally reliant
upon a bunch of internecine (military) satellites."

thusNso:
Fermatttt realized that his "miraculous" proof did not apply
to the rather peculiar case of n=4. the only unsolved conjecture
of his is "the characterization of the Fermattttt primes,
beyond that of Gauss." (iff you want to get into that,
there is a great book from Societe Mathematique Canadienne,
_Seventeen Essays on Fermat Numbers_ ...
maybe I can locate that great review, but
my mom found it on Amazon.

> Have fun, and good luck!

thusNso:
my format is just self-publishing, but
always responding (top-posting) to the subjectum.

Tom Gold's theory hasn't been tested, only it has;
the oilcos just haven't realeased the C14/C12 ratio
of their "fingerprints of adjacent holes."

no oil is "Fossilized Fuel TM;" that is nothing,
but a tradename, with no technical significance (unless,
you consdier, "sediments pile-up in the ocean, and
their own weight creates hydrocarbons," to be a theory .-)

of course, Earth is growing, but this depends not only on falling-
in space-junk, but the biota of the outermost layers & the
noosphere....
I don't see what the problem is with plate tectonics, over-all,
although "currents in the mantle" is a known absurdity,
from the seismic data (on the other hand,
there are so many weird pahses of rocks at temperature & pressure,
like ice .-)

volcanos produce huge amounts of CO2, and CFCs and so on.

> Actually I think, that oil is not fossilized biomass, but comes from
> deep inside in the inner earth. The why and hows about this idea is
> another interesting, but very different and difficult subject.

thusNso:
hogwash; spacetime is just a phase-space,
three orthogonal (and imaginary) coordinates in space,
one (real) scalar time; til Gibbs dysassembled Hamilton's "inner
and outer products" into his version of Hamilton's "vectors &
scalars."

> (And that is the reason we need complex fourvectors, because
> these are fully-symmetric upon the change of the timeline.)

thusNso:
you don't read Shakespeare til the eleventh grading, or
it could seriously mess you "up." til then,
one can readily study *mathematica*, which is four subjects,
in a "hands-on" manner that does not really require
the full-throated use of language -- that one is learning,
by doing stuff.

I like UD's _Math.Cranks_, because, in his chapter
on fermatistes, he only made one mistake,
that I can find, now, and he had acknowledged it, when I told him.

also, he seems to have left numbertheory, out, and that's one
of the four, the true meaning of "higher arithmetic."

> http://www.ams.org/notices/201005/rtx100500608p.pdf
> author would be in not including Geometry explicitly as part of
> mathematics: "So that there is no confusion, let me say that by
> 'mathematics' I mean algebra, trigonometry, calculus, linear algebra,
> and so on: all those subjects beyond arithmetic."

thusNso:
textbooks are often *generically* bad glosses on the discoveries
in the original monographs, or simply pedantic workbooks.

the real empty set, to me, is those who attempt proofs,
without any grounding in elementary geometrical & numbertheory proofs
-- see wlym.com. and, recall,
it was Liebniz who gave the generic format of "iff,"
which is necessity & sufficiency, used meaningfully
in various ways in natural language.

the New Math following upon General Bourbaki was a silly thing,
since you *need* natural language (and diagrams etc.)
to make ready analogies & metaphors for your work. such that,
the glaring example of Bourbakism was perhaps Russell's illinguistic
"paradoxes"
-- whence "silly" deploys from over-reliance on Aristotle's
syllogisms!

--Stop BP's capNtrade rip-off; call Waxman & tell him,
we need a small *tax* on carbon emmissions, instead
of "let the arbitrageurs raise the price of CO2 as much as they can
-- free trade, free beer, free dumb!"
http://wlym.com
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Prev: Jump to I. The Period of F(mod m)‎: Thus lcm[k(piei)] | k(m). Let L = lcm[k(piei)]. Since k(piei) | L for each i, the sequence F(mod piei) ...(WAS: Re: -------- Conjecture / m = (f^k + e^k)/(2k))
Next: Chaitin's book "META MATH"