sci.math Google Group

Re: The accuracy of the Calculus

2009-11-23T20:56:33Z

Wrong? That's impossible. I cannot be wrong. It is a law
of the universe.
Instruction should not be based on performing calculations.
Instruction should deal exclusively with concepts. Calculation
is incidental and even superfluous.
"Don't make a calculation until you know the answer."
That is a very old truism, and it demonstrates the bold new

Re: -- Packing unit circles in squares: new results

2009-11-23T20:47:07Z

Improved packings of N unit circles in squares are given
for N = 136, 144 and 178.
------------------------------ ------
N = 136
s = 22.546237136793276929412817019 685246559...
270 contacts
symmetry group D_1
<[link]>
The side length s of the packing currently shown at Packomania, with 263

Re: The accuracy of the Calculus

2009-11-23T20:34:22Z

If they don't have the money, then engage in self study.
Follow the steps that would otherwise be taken by going
to a university. (One could even do them faster and much
more efficiently.)
Then present yourself to an employer with your self-acquired
skills. What happens? The door will be promptly slammed

Re: Exercise attempting to evaluate the path integral of the Einstein-Hilbert action over the range from -00 to +00

2009-11-23T20:36:35Z

Pardon me Jay and Miss Woobly
The term "Relative Tensors" such as "sqrt(g)" having
weight W=+1, referred to archically as a tensor density,
it then follows the product of 'relative tensors' such as
W^-1 * W^+1 = 0 Weight and resolves that part to a
scalar (INVARIANT).
Relative tensor is a bit obscure but highly relevent to

Re: ..Simple (?) combinatorial problem?

2009-11-23T20:31:30Z

The number of placements such that the first box has at least 7 balls
is
C(12,5) = 792.
The number of placements such that the first two boxes have at least 7
balls but the first box has at most 6 balls is
7*C(11,4) = 2310.
The answer to your problem is
C(12,5) + 7*C(11,4) = 792 + 2310 = 3102.

Re: The accuracy of the Calculus

2009-11-23T20:27:53Z

Well, since it's only the idiots who only know McDonald's about
computers
that ever say that it doesn't matter. Since the Engineers who
actually know more than shit
still work on *DSP* and *Laser Disks& and *Fiber Optics* and *mp3*
and *mpeg*,
and *External Low RPM Hardisks* and *Post 1950 Cell Phones* and

Re: Principle of Relativity

2009-11-23T20:24:33Z

Hey, Albertito: [link]
First collisions at LHC.
Are you going to shut up as promised yet?

Re: The accuracy of the Calculus

2009-11-23T20:03:07Z

The four color theorem was proved by computer.
That's the trend. The computer will make obsolete many
kinds of "talent." I don't need to prove my mettle
by being some calculating or integrating jock. Computer
algebra will do all the work while I just nod my final
approval to the result from a realm of pure thought.

Re: The accuracy of the Calculus

2009-11-23T20:02:38Z

As unpalatable at it may seem, some people just do not have
the talent, in spite of any desire. I have, as I am sure
have many others, witnessed examples of this first hand.
Initially one may wish to disbelieve, but the force of truth
soon prevails.
But talent is still an extremely overblown concept. My

Re: Einstein's 4 light postulates

2009-11-23T20:03:57Z

There is unphysical light.

Re: ensemble négligeable

2009-11-23T20:03:31Z

Merci beaucoup.
Je connaissais en plus un tel f !! Il est construit à partir d'un autre
Cantor (autre que le triadique mais de mesure >0 ?), c'est ca ?
De plus, quitte éventuellement à faire une translation et une homothétie, on
peut supposer que f est une bijection de [0,1] sur lui-même. Et donc, j'ai

Re: Cooking the right chip...

2009-11-23T19:12:44Z

Clearly what you need is a machine which accepts raw potatoes, and outputs
the largest potato sphere contained in the potato. Discard the rest of the
potato and just fry the spherical bit. Perfectly spherical chips - I think
this idea could be a winner!
And if you're happy with those "reconstituted" chips, the machine could be

Re: _Number of nonnegative integral solutions to equation

2009-11-23T19:42:29Z

integers
different
Ray has pointed out that your x_i can be zero, i.e. in my ball analogy it's
OK for the boxes to be empty.
That's OK - my approach still works, but you have to add in 4 "separator"
balls which are subsequently taken out again. (In fact this is easier to
understand than the version of the problem I was considering.)

Re: There is no time dilation or physical length contraction.

2009-11-23T19:46:19Z

Compoton means light energy transfers to mass. This is heat in the
aether or a light energy push.
Mitch Raemsch

Re: Hard trigonometry integration

2009-11-23T19:22:48Z

Would you mind to say a bit about that? It puzzles me.