Math

--- --- --- an equation with several variables
Consider the following equation (1) in six variables a, b, c, d, e, f X^(1/mk-2) = Y^1/n (1) X = (k^2a^2 - b^k)/c^k, Y = (k^2d^2 -e^k)/f m, n are integer each > 1, k is a prime > 3, f is irrational and a k- th root of an integer, (mk-2), n are relatively prime. Assertion: (1) ... 13 Feb 2010 09:18

The mafia
On Feb 13, 9:44 am, Uncle Al <Uncle...(a)hate.spam.net> wrote: "Greed, for lack of a better word, is good.  Greed is right, greed works. Greed clarifies, cuts through, and captures the essence of the evolutionary spirit. Greed, in all of its forms; greed for life, for money, for love, knowledge has marked t... 8 Mar 2010 11:56

Is there some lower bound on the smallest eigenvalue of a n-by-n matrix?
"jionglong(a)gmail.com" <jionglong(a)gmail.com> writes: Hi I am actually looking for some bounds in terms of the elements in the original matrix. Gerschgorin's theorem is something like I am looking for. However, its bound is still not so good. It's hard to give a useful answer without knowing ... 12 Feb 2010 20:14

formalizing what math assumed as the definition of "finite-number"#424 Correcting Math
Archimedes Plutonium wrote: Looks like I have to stay around longer. Sigh! How many years now that each you've decided to stay around longer? Looks like I have to stay around a bit longer to harmonize the only precision definition of finite to infinite which is found in Geometry. Well, good luck... 12 Feb 2010 16:51

a galois related problem
Can something general be said about the following: For an irreducible equation with rational coefficents of degree n and both real and complex roots, what is the maximum number of real roots if the Galois group is Dn (2n elements)? Note that if r is a real root of such an equation then all other real roots of the ... 19 Feb 2010 12:07

Boundness of solutions of ODE systems
Let's consider a system of ODE dx/dt = -ax + f(y,z), dy/dt = -by + g(x,z), dz/dt = -cz + h(x,y), where a>0,b>0,c>0, f,g,h are bounded functions. Is it true that solutions of the system are bounded functions? If it's true then how to prove this fact? Thank you very much for attention! ... 11 Feb 2010 11:41

Clairaut's "most important and profound discovery"
One reads in http://www-history.mcs.st-andrews.ac.uk/Biographies/Clairaut.html about Alexis Clairaut's 1752 paper "Theorie de la Lune" on the three-body problem and that Euler called this "the most important and profound discovery that has ever been made in mathematics." Even allowing for a bit of hyp... 12 Feb 2010 15:44

test
test sorry ... 12 Feb 2010 11:10

Alice In WonderLand!
What are sets? Can we have a simple intuitive understanding of these objects called as sets by mathematicians, like those objects in Z set theory or Aczel's, etc.. Here is a simple trial on my side to understand those rather vague objects intuitively. First lets intuitively interpret sets as *collections*. ... 13 Feb 2010 23:49

Understanding your worth
"JSH" <jstevh(a)gmail.com> wrote in message news:8ccc5a19-23d9-48e3-a94a-86f56ee71bfe(a)s36g2000prh.googlegroups.com... To me knowledge is not something that is a birthright. Wrong, all newborns have the right to learn. It does not matter to me if most of you die in ignorance, or not. Socialpath Bu... 10 Feb 2010 22:28