...但A不一定等於A^t。 我們要證明Im(T)= {B belong to F^(n*n) | B^t = B} Im(T)就是T函數...
1.For any a' , b' belong to W[H]. By definition of W[H], there exist a,b belong ...(b) = a'b' belong to H 2.Let a', b', c' belong to W[H] Because a', b', c' belong to G...
... any open cover {Oα} such that [0,1] belongs to ∪Oα . If there exists finite... in every In And for some β , x* belongs to Oβ Since Oβ is open...
... follow properties: (1) For all integers x, y belong Z. The relationship is x=y, x<y and x>y...
(=>) If u belongs to R and u is invertible, then u v = v u = 1 belongs to ...of R . (<=) If u belongs to R and u belongs to no maximal ideal of R but u is not invertible , then the ideal &...
...0, 1, 2, ...}, and successor function is +1. m and n belong to N0. ---------------------- (prove addition closure property... to N0. Therefore m*n belongs to N0 when n=1. (c) Assume m*n belongs ...
...complmentary graph's edges is n * ( n-1 ) / 4 because n * ( n-1 ) / 4 belongs to Z^+ let k belongs to Z^+ so ( n mod 4 ) = 0 → n...
...是direct sum 需要一個輔助定理: Given any x belong to A/A1, and x has period p^r. ...是direct sum 需要一個輔助定理: Given any x belong to A/A1, and x has period p^r. ...
... a subset of) B,we have x in B. Then x doesn't belong to complement of B--##. Hence A and complement of B = empty...
... whose order are power of p 1. Given any a belong to S, says (p^k)a=0, then -(p^k)a=0 we have -a belong to ...
