Math

Terra incognita, Sacred ground, Mysterious territory.
Terra incognita, Sacred ground, Mysterious territory. # The mathematical map brings us to the vacuum. The physical map brings us to the vacuum. These two maps are both as one map is confirmed, the vacuum exists, but the underlying essence is not revealed for us. We see the map, we can understand separate marks,... 4 May 2010 13:28

even or odd solution?
y'=SQRT(1+x^2+y^2) y(0)=0 Assuming there exists a local and unique solution defined on (-d,d), prove: that the solution y is an odd function of x that y(x) >= sinh(x) for all x >=0. Any hint? ... 4 May 2010 14:35

diff. Cauchy problem
Let f be a continuous real valued function such that tf(t) >= 0 for all t in R. Then the CP: y''+e^(-x)f(y)=0 y(0)=y'(0)=0 has the unique solution y=0. Any hint? ... 11 May 2010 07:51

convex quadrilateral
How does one prove that in any convex quadrilateral, the quadrilateral formed by the midpoints of the sides is a parallelogram? ... 5 May 2010 07:08

Looking for: Functional Equation
I want to find the function y=f(x) having a zero at +a and -a so that the lens formed by f(x) and -f(x) in (-a,a) bundles all light coming from the top into a single point P at [0,-t]. You are free to choose t, but the refractive index n of the lens is given (eg for Glass it would be around 1.5) and I guess that a ... 4 May 2010 10:06

Fermat's Polygonal Number theorem vs FLT?
If Fermat's original proof of the Fermat Polygonal Number Theorem has not yet been found, why are mathematicians so quick to assume that Fermat did not have an extension to that proof which may have led to the proof of Fermat's Last Theorem? It seems to me the key to understanding FLT lies in a simple inductive pr... 9 May 2010 16:31

If - this statement is used to open an exact proof p = np, if this is true or false, do this.
If - this statement is used to open an exact proof p = np, if this is true or false, do this. = is equals, != equals not { is open function, } is close function //comments here and more there <!---// starts the script, //---> closes it. http://meami.org/ ... 4 May 2010 10:06

"542986731": A numerical cryptology puzzle from www.cita.es
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JAMES RANDI IS A FRAUD Now in website form! <<James-Randi.com>>
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Final corrected reply
> In article <1772137323.67012.1272940716601.JavaMail.root(a)gallium. mathforum.org>, ThinkTank <ebiglari(a)gmail.com> wrote: I am familiar with fractals and numbers as independent concepts in mathematics, however, I have never seen these two concepts combined. That is, a number that is ... 4 May 2010 04:38