... popular vote and the economy of the country. Your thoughts on the elasticity of demand caused by congestion are interesting and relatively intelligent (to the point where I suspect you copied them from somewhere), but - as I said in the other reply - over- simplistic and based on a false assumption. To then introduce such an unlikely random factor in an attempt to prove the theorem merely highlights the fact you fucked up. Again.

... a surprise to anyone? Gollum + law = fuckup appears to be just as reliable a guide as Gollum + maths = fuckup and Gollum + science = fuckup. Applying Occams Razor to your hypothesis, we see that the second qualifier appears to be superfluous. The refined version of the formula simply reads Gollum=fuckup. Yes, you are right - the instances I cited are in fact subsets of the wider theorem, which you correctly state.

... is a quadratic residue mod A. Similarly, taking [1] mod D: Ax^2 = c mod D (Ax)^2 = Ac mod D Therefore, Ac is a quadratic residue mod D. thus: now, prove Fermat's Little Theorem, some one!... some one, herinat, prove biquadratic reciprocity, and quintic!... I mean, it would not really surprize me, if he actually did prove a new result. but, big magnanimous if/then, he'd be able to explain it in so many words...

... is a quadratic residue mod A. Similarly, taking [1] mod D: Ax^2 = c mod D (Ax)^2 = Ac mod D Therefore, Ac is a quadratic residue mod D. thus: now, prove Fermat's Little Theorem, some one!... some one, herinat, prove biquadratic reciprocity, and quintic!... I mean, it would not really surprize me, if he actually did prove a new result. but, big magnanimous if/then, he'd be able to explain it in so many words...

... one might want to see discussions i have had on orthomodular lattices and quantum logic or denotational and operational semantics or if interested in mathematical competence maybe my generalised trigonometry and multisection theorems on (q-)hypergeometrics if one is interested in my poetry or philosophy or politics or my experimental electronica then by all means feel free to explore (and satisfy my blatant ...

...actually was interested in numbertheory, all of this would ne'er have existed. oh, but, he's no mere student, he's the Queen of Mathematics, himself ... and, what does that make AP? now, prove Fermat's Little Theorem, some one!... some one, herinat, prove biquadratic reciprocity, and quintic!... I mean, it would not really surprize me, if he actually did prove a new result. but, big magnanimous if/then, he'd be able to explain it in...

PS http://physicsinsights.net/pi_from_pythagoras-1.html This was interesting for sure ......... Finding ? from Pythagoras's Theorem On this page, we'll obtain a reasonably good value for ? using nothing more advanced than Pythagoras's theorem. The accuracy of the value we obtain will actually be limited by accumulated floating point errors -- the technique we'll use doesn...

... the Euclidean universe from .... what? Good queries there. How exact does one need to be, to be rational? Do we actually live in a rational universe anyway? :-) One of the consequences of the Pythagorean theorem is that incommensurable lengths (ie. their ratio is irrational number), such as the square root of 2, can be constructed. A right triangle with legs both equal to one unit has hypotenuse length square root of 2. The ...

... what a statement is supposed to do is proving a theorem given the defined axioms of the formal semantics. The semantics ...of a language, in much the same way that automated theorem provers on machines with finite memory are unable to prove some theorems. • semantics is tied to syntax. There cannot be semantics without... is and does, and therefore allows us to prove theorems about what is and isn't possible for compilers. Anyway...

...               *              *              * as for interests, i have much more interest in perfecting my expertise in elisp, and learning Haskell, and learning a theorem proving lang such as coq to enhance my understanding in mathematical logic. I also have far more interest in many math subjects and geometry programing subjects. I have much existing projects to be done in geometry of plane curves, tiling theory, ...