Math

Surely You're Joking, Mr. Zeilberger?
Try it on a 32-bit unsigned integer. You add 1 to the largest number in that domain and, voila, you get zero as a result. Is that the April Fool's? ... 17 Feb 2010 06:40

solar power
Jonathan Thornburg wrote: However, the long-term trends are that solar-power technology is rapidly developing, making solar power steadily cheaper over time, whereas most other types of power plants are getting steadily more expensive. The limitation for PV conversion comes down to 2 factors - efficien... 18 Feb 2010 13:58

Wimpy Banach-Tarski paradox - should it break my intuition?
In http://www.math.ucla.edu/~tao/resource/general/121.1.00s/tarski.html Terence Tao has proven a wimpy version of Banach-Tarski paradox: _______________________________________ Theorem.It is possible to take a subset of the interval [0,2], cut it up into a countable number of disjoint pieces, and then transl... 25 Feb 2010 17:07

The fine structure constant from a mathematical structure
Actually I never wanted to promote this as another scheme to calculate the 'fine structure constant' . That it is not. It is a theory with a mathematical framework from which it surprisingly looks like it computationally deduces the 'fine structure constant'. Hence the minor promotion here of a claim of getting it.... 15 Feb 2010 14:20

Paradoxes of Set Theory:
Hi all, The paradoxes of set theory: Russell's, Burali-Forti's, Cantor's, Lesniewski's, and even Holmes paradox, I noticed that all such paradoxes occur with formulas that are binary relations having One free variable in them,i.e formulas in which a free variable occur in two places having no other free varia... 17 Feb 2010 23:35

Proof involving Frenet Serret formula
given the Frenet-Serret formula dT/ds =kN where T is the unit tangent vector and N is the unit normal vector: how does s' * dT/ds * s' = k(s')^2 * N ? where s' = ds/dt I'm working this out to prove: r'' = s''T + k(s')^2N where r is a vector. I don't see how I can express the left hand side as the right ha... 14 Feb 2010 22:57

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Auditing & Assurance Services by Louwers, 3rd Edition Test Bank and solution manual is available at affordable prices. Email me at allsolutionmanuals11[at]gmail.com if you need to buy this. All emails will be answered ASAP. ... 14 Feb 2010 12:55

sigma notation with multiple sets
Hi, Would someone examine my sigma notation to make sure it is technically correct, according to numbers theory? http://www.box.net/shared/yl9pesf7dl If so, are you able to determine the summation of y using the information provided? The correct answer is 3. If you see a better way to present Sigma in ... 15 Feb 2010 22:14

'When Are Relations Neither True Nor False?
I had claimed that if for all a in the range of x (y)Aay (1) is vacuously true then (x)(y)Aay (2) is vacuously true. I have got an objection that this is scope fallacy and that the inference is incorrect. I do not know, but I no longer claim that (2) is v... 16 Apr 2010 07:16

A set theory with a universal set.
The following is a theory in FOL with identity "=" membership "e" and small set-hood "V" , with a universal set in it. Define: x is small <-> x e V Extensionality: as in Z Union, Power, Infinity, Replacement (strong version) All relativised to V. Axiom of small set existence: Exist x: x e V Anti-found... 14 Feb 2010 15:10