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  1. ... J is a subset of [0,1] and hence it contains some element of A, which is a contradiction. Therefore b_i>= a_{i+1} for all i=1,...,n...

    分類:科學 > 數學 2008年02月22日

  2. ...to show (i) x$(y$z)=(x$y)$z (associativity of $); (ii) x$y=y$x ($ is commutative...-Euler Theorem, which states a^(p-1)=a (mod p) if...isomorphism from (T, $) to (S, ~) for some binary operation ~ on S, it must be...

    分類:科學 > 數學 2009年05月30日

  3. ..., if n points are given, the degree of the polynomial is n - 1 2009-05-15 08:27:28 補充: This is not a unique polynomial which passes through the 9 points. But for a polynomial...

    分類:科學 > 數學 2009年05月16日

  4. 1.----------Inescapable Shock--Escapable Shock--No Shock...sum Reject----8------------------19---------------18---------45 No Reject-22---------------- 11---------------15---------48 Sum-------30-----------------30---------------33...

    分類:科學 > 數學 2013年12月19日

  5. ...(0)(X) equals the remainder term, which by Taylor's theorem is bounded in norm by C|X|2 (for some C > 0) in a neighborhood of 0.

    分類:科學 > 數學 2006年10月13日

  6. ...f ʹ(x) = cos x     if x ∈ [π/2,2). which is also continuous. f is nonlinear...that f is nonlinear in a neighborhood of c. Then[f(t)-f(s)]/(t-s) ≠ f...the fact that f was nonlinear in some neighborhood of c. ∎

    分類:科學 > 數學 2006年09月07日

  7. ... which contains those integers i which are not members of their namesake set Ai. But...subset of N, and so A = Aj for some j. But this means 1. If j...

    分類:科學 > 數學 2008年01月30日

  8. ... means a function. f is onto means the range of f = the codomain of f 2008-09-19 12:29:12 補充: So f(g(x)) is...

    分類:科學 > 數學 2008年09月23日

  9. ...a parameterized family of probability distributions, any member of which could be the distribution of some measurable aspect of each member of a population, from which a sample is drawn...

    分類:科學 > 數學 2007年11月29日

  10. ...epsilon}) + cos(t_1 sqrt{M_ epsilon}) sin(t sqrt{M_ epsilon}), end{align} which is a solution of (2) by the comparsion theorem, would vanish at some $t_4 in (t_1,t_2)$, which is absurd. Therefore, begin{equation...

    分類:科學 > 數學 2007年06月20日