muad

what group theory ex.?

@Marc, good luck

I asked them to give us LaTeX in here but I don't think they will

hello

hey Weltschm here is a problem: is there a power of two which has all the digits 1,2,3,4,5,6,7,8,9 in it an equal number of times?

Actually you might get something nice out of [a][bc][d][ef][g]

if you are in groups of two then it might 99 and 101

ah 9 and 11 are special because that's -1 and 1 mod 10

there's no reason why that wouldn't give a new divisibility test for something

that would be like kl + hij * 10^2 + fg * 10^5 + cde * 10^7 + ab * 10^10

it would be interesting to see if you can get some results out of [ab][cde][fg][hij][kl] though

I thought of it as (1) turning 9385450 into [9][38][54][50] and (2) turning it into [9][385][450] to get two different divisibility tests

yeah but what do you interpret that as meaning

Weltschm what do you mean by divide in groups of 2 and 3

that's better

1896246 is divisible by 33 because 1+89+62+46 is

oops, it's not that simple.

393 is divisible by 3 because 3+9+3 is. 273459 is divisible by 30 because 27+34+59 is.

I need to get that book

well you are beating me :p

hi Debanjan

Bye

I've not read it yet

quite a job to LaTeX all this stuff up but many people will be thankful if you do :p

:)

The especially nice thing about Eulers papers is he is very keen on describing the methodology

J. M. - yes I get far too distracted with that when I read Gauss

I just read about that thing recently so I am still thinking how neat it is

what's really cool is that Baker used the same idea on the cubic version to bound integer solutions of a cubic

if x/y is close to sqrt(2) then sometimes we might have x^2 = 1 + 2 y^2

crasic, the idea is that - to solve x^2 - 2y^2 = 1, well you find a good approximation x/y to sqrt(2)

it seems like any equation I can solve, say congruences or pell or whatever.. it's been done to death - and the equations nobody solved are way too difficult for me

one thing I wonder about number theory is how do you solve a new equation?

I meant more that I couldn't even get into the basic books on it

I would post analysis questions regarding fractals but I couldn't even get started -_-

that sounds a lot like the quantum logic gates

well I suppose Lie groups in the classical mechanics, Noethers theorem

I don't know any applications of group theory in physics

it is great fun

you can teach yourself Galois theory

what algebra are you doing?

"After Albert Einstein came up with the theory of relativity people in the social sciences such as the German sociologist Max Weber, again applied the concept of relativity to concepts such as morality. Thus appeared the concept of moral relativism in which morality simply becomes what a particular society believes is moral." - mypracticalphilosophy.com/shelp/moralrel.htm

Newtons 3rd law "The mutual forces of action and reaction between two bodies are equal, opposite and collinear"

LOL

Obviously Newton developed his theory of physics in line with the Christian philosophy of "Do unto others as you wish they do unto you" in mind

"However, now armed with relativity, facts are no longer absolute, but instead dependent upon your viewpoint, your own "philosophical" inertial reference frame"

"Prior to relativity, philosophers such as Aristotle, Kant, and Mill argued that there was an absolute truth and an absolute way of approaching various aspects of life" - scienceinsociety.northwestern.edu/content/articles/2008/…

haha that's clever

Please can we have $\LaTeX{}$ supported in the math chat room :P

I wish we could do $\LaTeX{}$ in the mathematics chat....