Math
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Taylor's Formula Hello, let R be the field of real numbers, E an open set of R^(n+1), and f:E -> R a C^m function, with m >= 1. Let us use the notation (t,x) for a point of R^(n+1), with t in R and x in R^n. If (a,b) is a point of E, we define in a neighborhood of (0,b) the function (remainder of Taylor's formula with respect to ... 28 Jul 2010 15:10
Help with set theory proof, please Let {A_k} be a sequence of sets. Let E_n = UNION A_k, k in [1,n], and E_0 = emptyset Let F_n = A_n \ E_(n-1) for all n. If x is in A_k for some k in [1,n], how can one show there exits a j in [1,n] such that x is in F_j? Can it be done without using induction? Many thanks in advance. ... 26 Jul 2010 16:03
Dominatrix -- Simple grid game Game. Any plural number of players. n-by-n grid. (I suggest for a 2- player game an n of about 4 to 6 for beginners.) The first player to move puts an x in any square. The players take turns. (The player who last drew an x is player A. The player who is now choosing where to put an x is player B.) After player... 27 Jul 2010 21:43
SQUARED CENTER AND CURVED CENTER_ At the request of a professor of Mathematics We have been asked to put forth the basic understanding and we find this very difficult as the Mathematics is several pages, But basically in this regard , since 4^2 =16 and 4.75^2 =19 (360/19 *4.75=90) , every 3rd proportion related to the circled center plane is matched to every 4th proportion of a squared cen... 27 Jul 2010 10:37
Geometrical-probability theory #4.23 & #239 Correcting Math & Atom Totality Archimedes Plutonium wrote: (snipped) Where there are 10^536 such numbers, all having exactly 268 digits in base_268 not base_10 but base_268. Now the question is, in base_10, do I have every number covered from 0 to 10^536 within those permutations of 268 digits in base_268? Has anyone ever ... 26 Jul 2010 10:32
problem about quartic and its reolvent Given a monic quartic equation Q(x) = x^4 + a x^3 + b x^2 + c x + d = 0 with integer coefficients with the cubic (Lagrange) resolvent R(t) = t^3 – b t^2 + (ac – 4d) t + 4bd – a^2d – c^2 = 0. Can it happen that Q(x) = 0 and R(x) = 0 have a common root? If so, Q(x) must be reducible; otherwise Q(x)|R(x), which ... 28 Jul 2010 06:22
Question about maximality principles, lattices, AC and its equivalents Here it is. Sorry for any trouble: (AC): Given a non-empty family A={A_i}_(i belongs to I) of non-empty sets, there exists a choice function for A. (BPI): Given a proper ideal J of a boolean lattice B, there exists a prime ideal I of B such that I contains J. (DPI): Given a distributive lattice L, an ideal J o... 26 Jul 2010 10:32
Derivation of e=0,5MvvN(N-k) On Jul 26, 10:43 am, spudnik <Space...(a)hotmail.com> wrote: <deletia impletum> I have no idea what (N-k) is supposed to do, and I don't googol ****, partly because of a restraining order; unfortunately, I'm using their front-end for these NGs. thus: 3 choices, 2 choices, 1 choices (3?, or "three... 31 Jul 2010 09:38
The Gamma function is holomorphic If anyone can tell me a source where I could find a proof of this or tell me how it's proved I'd be grateful. ... 28 Jul 2010 11:52
EXPERIMENTAL CONFIRMATION OF EINSTEIN'S RELATIVITY If an infinitely long object can be trapped inside an infinitely short container, and if an Einsteinian travelling with the rivet sees the bug squashed while the bug sees itself alive and kicking, then the Michelson-Morley experiment confirms Einstein's relativity and refutes Newton's emission theory of light: h... 28 Jul 2010 06:22 |