Math

ADAM: I have INFINITE KNOWLEDGE, you can ask me anything you want to know.
Ask me anything you want to know. Herc AKA Genesis Adam ... 18 Jul 2010 03:04

Integration: Area between two curves problem
Find the exact area of the region bounded by the graphs with equations y ^ 2 = x and x - y = 2. int{[x^(1/2)-x+2], x = 0...4} - int{[x-2 - x^(1 / 2)], x = 0...2} = 16 / 3 - 8 + 8 - (0 - 0 + 0) - [2 - 4 - 4 * 2 ^ (1 / 2) / 3 - 0] = [16 + 2 + 4 * 2 ^ (1 / 2)] / 3 = [18 + 4 * 2 ^ (1 / 2)] / 3. Exact... 19 Jul 2010 04:50

JSH: Why of prime gaps
Recently an idea I had several years ago about prime numbers seemed to me to be actually an axiom about prime numbers themselves, which was rather exciting and I suggest that it is surprising that the world has either yawned or is not aware of how significant it is, but it among other things quite simply explains t... 22 Jul 2010 22:25

Simple Proofs Pertaining to Fermat's Last Theorem
Probabilistic arguments and empirical evidence indicate the probability for a given p, 6 divides p+1, that there do not exist a, b, c, such that a^p+b^p=c^p(mod p^2), p does not divide abc, is about .85. (See chapter 10 of Paulo Ribenboim's "Fermat's Last Theorem For Amateurs". A simpler argument than Ribenboim's sho... 17 Jul 2010 17:24

It's all about (2^x-1)^j
I found a way to express this (2^x-1)^j differently... kinda like an identity. I want to know every identity with this expression so I can see if mine already exists. Anyone knows a book with every possible identity? or possibly a link (i've tried to find a website but i couldnt) thanks you ... 26 Jul 2010 21:36

Is space covariant or contravariant?-
rudi wrote: I often meet the question whether the (physical) space is 'covariant' or 'contravariant'. I once replied to that question with: Space is space. The components of a tensor are covariant/contravariant if the basis is CHOSEN TO BE contravariant/covariant. As far as I know tensors the 'covariance' or 'cont... 17 Jul 2010 17:24

the *ultimate equivalent* Riemann Hypothesis statement? #694 Correcting Math
Archimedes Plutonium wrote: I am looking for the best Riemann Hypothesis equivalent statement to tie in the Indirect Euclid Infinitude of Primes proof method. By correcting that flaw of logic that both P-1 and P+1 are necessarily prime, yielding the infinitude of Twin Primes, I suspect is a key to... 17 Jul 2010 16:19

an *ultimate equivalent* Riemann Hypothesis statement? #693 Correcting Math
I am looking for the best Riemann Hypothesis equivalent statement to tie in the Indirect Euclid Infinitude of Primes proof method. By correcting that flaw of logic that both P-1 and P+1 are necessarily prime, yielding the infinitude of Twin Primes, I suspect is a key to proving the Riemann Hypothesis RH. So I l... 17 Jul 2010 15:14

is Riemann Hypothesis implied by the Cramer conjecture? #692 Correcting Math
Archimedes Plutonium wrote: --- quoting from Wikipedia --- Riemann's hypothesis is concerned with the zeroes of the ζ-function (i.e., s such that ζ(s) = 0). The connection to prime numbers is that it essentially says that the primes are as regularly distributed as possible. From a physical viewpoin... 17 Jul 2010 14:08

An exact simplification challenge - 96 (EllipticF/K/Pi)
Hello, Mathematica: 2*(-1)^(1/6)*(-2*I*EllipticF[I*ArcSinh[(-1)^(5/6)],(-1)^(2/3)]- (-1)^(1/6)*EllipticK[-(-1)^(1/3)]+EllipticK[1-(-1)^(2/3)]+ I*EllipticPi[(-1)^(1/3),(-1)^(2/3)]+ (-1)^(1/6)*EllipticPi[-(-1)^(2/3),-(-1)^(1/3)]- 2*I*EllipticPi[(-1)^(1/3),(-I)*ArcSinh[(-1)^(5/6)],(-1)^(2/3)]) Maple: 2*(-1... 20 Jul 2010 14:41