xp052505
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 Posted: Tue 9:34, 05 Apr 2011 Post subject: Metric plane partial order preserving transformati |
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Plane partial order preserving transformation metric
1: ~ a of a 12; aalla22tan1L = a = a 0,12 = a22 Theorem 3: | s' made a group. Proof: Let A (, Yi ) ∈ | s', A ==> o. Because AA == AE. Therefore, A ~ = 1AA = (1, {- has been ), (A a ) A ~ = (A) (1, A) = AI-yAAAAAAr = (AE) = 1. 86 and then from Theorem 1 is clear : S ' off To know : A ~ E | s' in the matrix multiplication closed, associative set up , E is S ' the unit element . { (so | s' made on a group of matrix multiplication . password : H = {aEla = aeR {0}}; N =。。。- sinsin0COS0) ·. ≤ ≤ 2 Ding ); / j = 0-1),. Obviously : H, T is S ' sub- group. V (: a), () E Ⅳ (: coffee -siana: a) = a: a) (: coffee -sian (cos. coffee -sin) = (: b -sin (a + flCOS) E Ⅳ sin (a + ) (a +) Factory (: coffee -siana) ~ =,[link widoczny dla zalogowanych], COS ( a - a0 ~-si (n (-sinCOS) E Ⅳ o,-a) ( a a) plant can be seen : Ⅳ is the S ' sub- group. and H, N, T is abelian. 0) , ( 10 )) Corollary 3 (1) hn = nhVhell, boats Ⅳ (2) ht = thVheH, teT (3) Ⅳ = TN, and (. -, O / (Con ~: coffee -siana) = (: aim -siana) (-. 1 a (: a) = (COS ( a - aO ~-sin (-)(- 1sinCOS0 ( a a) ( a a ) Eight (COS (... 'iT - ~ - Sin ... (~ r-sinCOS) (0 (1r-a) (1r-a) 80 call (COnS: coffee -siana) = bb uncle ,-tlll ●,, IIlI-, n £} mouth mouth , ● - ● __ ● ●,,, IIlI-, £! mouth 1l12 mouth , ● - ● __ ● ●,, = 2 + port + port 2 tuo 212 port = II ,,.。., O 1 Deng Lun governance, Li Xiang , Jianxin Ouyang , Ling Zhang for : flat partial order preserving transformation of measure : COS ● SlnCOS ● Sln b -sin a (a-COSa ) (0 a . 1) = a a) ( a a) August / Ding 'IT a - a ~-sin Ding (a 'rra-COSa) (一0. 1) 1T-a) (1T-a ) VIII / 4S = delete Theorem Proof: Obviously drama . s. On the contrary , VAeS, according to Theorem 3 , the case discussion will be divided into 2 x if A = ( thirteen ) Order : B =(。=[ ∈ J7v:. = ( ~ lJA = BCD v B-(.] ∈ = [∈ J7v:. = ( Trinity ) ∈. ~ lJA = BCD. so SCHNT. that is : S = delete Acknowledgements: This article by Yu Taijie Guizhou Normal University professor guidance.
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