Math

superellipse perimeter formula-
Grover Hughes wrote: I'd like to have a formula (closed form if possible, series is acceptable) which gives the numerical value of the perimeter of a superellipse as defined by the formula (x/a)^n + (y/b)^n = 1 where n > 2 and a and b are the known semiaxes. I have searched Wolfram Mathworld... 20 Dec 2009 20:12

superellipse perimeter formula
I'd like to have a formula (closed form if possible, series is acceptable) which gives the numerical value of the perimeter of a superellipse as defined by the formula (x/a)^n + (y/b)^n = 1 where n > 2 and a and b are the known semiaxes. I have searched Wolfram Mathworld and Wikipedia without success. I DO h... 8 Jan 2010 06:06

How to prove the following combinatorial identity-2?
1/((1-x)(1-y) (1-xy))=\sum_{i,j=0} min(i+1,j+1) x^i y^j ... 21 Dec 2009 09:06

COLLAPSIBILTY OF THE ZERO- Why Your Mathematics Paris burns? CREDIBLE DAVID BERNIER/ROBERT ISRAEL, check your mettle
We have had to start new posts each time because of the nippers that ruin every post with thier vomit, that is part of your mathematics, we ignore it. IT IS TIME FOR MATHEMATICIANS TO COMPUTE THIS CONE 19 PARAGON THEMSELVES , that good mathematicians like Robert Israel, Escultura, David Bernier compute the mi... 20 Dec 2009 16:55

Recursive Cardinals.
Hi all, Define(circular): x is circular <-> x e TC(x) Define(hereditarily non circular): x hereditarily non circular <-> for all y ( y e TC(x) -> ~ y is circular) Define(x-recursive): S is x-recursive <-> S equinumerous to x & for all y ( y e TC(S) -> y equinumerous to x )& S hereditarily non circula... 8 Jan 2010 00:42

Summation of 2^(1/n)-1 (or generally: x^(1/n)-1)
Hi, Is there a specific name for these summations besides "sums of radicals"? Is there a general formula for the value of the summation (for n less than infinity)? If there is no general formula, is there a website with the value of these summations calculated to a certain decimal precision? Do these summ... 19 Dec 2009 12:43

Big Rudin: International Edition?
I would like to buy _Real and Complex Analysis_, 3rd Ed. by Rudin. What are people's experiences with the cheaper (paperback) International Edition? Is the page numbering the same? Is the printing quality comparable? Are the contents word-for-word the same? Thanks. ... 19 Dec 2009 14:55

Recursive Cardinals.
Hi all, Define(x-recursive):- For all A,x A is x-recursive <-> A equinumerous to x & for all y ( y e TC(A) -> y equinumerous to x ). in other words A is x-recursive <-> A equinumerous to x & A hereditarily equinumerous to x. Now we can define Cardinality in ZF minus Regularity as: Cardinality... 18 Dec 2009 07:13

GOOD BYE AND HAPPY HOLIDAYS FROM INVERSE 19
We wish all a very happy letters, we apologize for all the dander and typo errors etc, this is not our vocation , but simply a side hobby. We are now not going to post any thing for several months, because we are formally going to complete the Paragon of 19, and entire Prime numbers construction, and redefination ... 2 Jan 2010 22:40

latex for curly script font
How do I make script characters in (for lack of a better term) a curly script font? I have in mind a 'P' character in a certain curly script font that is used sometimes to denote a partition of an interval in the definition of definite integral. The character has some flourishes in the form of fancy curls. ... 16 Dec 2009 21:21