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precision definition of a finite-line compared to finite-number #338; Correcting Math On Jan 24, 9:33 pm, Archimedes Plutonium <plutonium.archime...(a)gmail.com> wrote: Brian wrote: You have the number of ways q quanta can be arranged. Next you have the number of ways of arranging these arrangements. Continue long enough and you'll eventually surpass the "largest number" in finitely ... 25 Jan 2010 11:40
Nam makes a attempt of defining finite-number #339; Correcting Math Nam Nguyen wrote: You've challenged few of us to come up with the definition of "finite- number" or else you'd go on with your ignorant babbling. So here they are, the definition of properties Finite(x) and Infinite(x): P(x) <-> Ey[y <= x) (*)P(x) <-> P(x) /\ AyEz[(y <= x) -> (z < ... 25 Jan 2010 01:48
andrew usher: Are you a Liar.? Shudabeenaborted, aka, andrew usher wrote: Yes, of course, I have 'gut' reactions of right and wrong, too. But apart from obvious non-moral ones like 'bugs are gross', I would never express them.... And then also wrote: "because the pro- abortion movement, like all other feminist and leftist move... 24 Jan 2010 20:21
bisecting quadrilateral to get rhomboid, proof I bisected the sides of a quadrilateral, and connected the points of bisection, to produce a geometric object that I want to prove is a rhomboid. Where any adjacent sides are unequal, and where the angles formed are not multiples of pi/2. I did this in a very ugly way by fixing the center of a quadrilateral at ... 25 Jan 2010 17:22
Sum of permutations What is the closed form formula (if any) of the sum P(n,0)+P(n,1)+....+P(n,n) where P(n,i) is the number of permutations of n taken i at a time? -TCL ... 24 Jan 2010 15:50
Number Representation Problem How can I map an integer N between 1 and 1,000,000 to a string f(N) of 12 letters where I can map back from f(N) to N, and f(N+1) bears no resemblance to f(N)? (Better yet f(N+m) bears no resemblance to f(N) for m=1 to 1000 or f(m) for any m not equal to N.) C-B ... 21 Feb 2010 03:50
Why does JH Conway say -1 is prime? I just read this in abook by William Stein. Thanks ... 26 Jan 2010 23:24
Number of digits in factorial Hello everyone. I am trying to solve a programming problem (https:// www.spoj.pl/problems/LENGFACT/) which ask for counting the number of digits in factorial N, N<=5*10^9. I used Stirling approximation and gamma function approximation. Here is my python code but i am interested in mathematical part. How to solve th... 17 Feb 2010 00:25
Cubic equations and companion matrices I tried to have a deeper insight in the splitting field of a polynomial of the form f(x)=x^3-p*x-q for rationals p and q. First of all I considered the companion matrix of this polynomial: 0 0 q 1 0 p 0 1 0 Let's call it M. M satisfies M^3-p*M-q*I where I is the 3 x 3 identity matrix. This matrix ... 24 Jan 2010 12:27
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