Minkowski Measure of Asymmetry and Minkowski Distance for Convex Bodies
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(107) GC CB@M GC 75@@98 5B9 7CA6=B5H=CBG 5F9 5@@CK98 ( 0,5,10 B 5B9 GD579 =G 5 G9H C: DC=BHG 5GGC7=5H98 K=H< 5 J97HCF GD579 5B8 HKC CD9F5H=CBG
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(117) 75@@98 5B 5B9 7CA6=B5H=CB C: / / 09 89BCH9
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(119) 89BCH98 6M 8=A $H =G 95GM HC G99 H<5H 8=A 8=A 09 K=@@ 7CBG=89F CB@M B=H9 8=A9BG=CB5@ 5B9 GD579G =B H<=G H<9G=G -C :FCA BCK CB K9 K=@@ 5@K5MG 5GGIA9 8=A & & . A5D ( 0,5,10 '9H 69 HKC 5B9 GD579G =G 75@@98 5B9 =: :CF 5BM #
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(124) 31214,5,10 ' ! ! !#! ! !' % $ / / % "! " # ! "! " !"" #" @95F@M 8=A 8=A 8=A M H<=G DFCDCG=H=CB
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(126) =: B979GG5FM K9 K=@@ 26CFFCK :FCA B=H9 8=A9BG=CB5@ @=B95F GD579G GCA9 B5HIF5@@M 89B98 BCH5H=CBG :CF GI6G9HG
(127) GI7< 5G =BH9F=CF
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(130) / / 5B8 K=H< K9 <5J9 / 7CAD57H 7CBJ9L G9H K=H< BCB 9ADHM =BH9F=CF =G 75@@98 5B & 8=A9BG=CB5@ 7CBJ9L 6C8M 7CBJ9L 6C8M C: H<9 :CFA '&. / / :CF GCA9 / / =G 75@@98 5B & 8=A9BG=CB5@ G=AD@9L
(131) K<9F9 '&. 89BCH9G H<9 7CB J9L <I@@ 7CBJ9L 6C8M =G 75@@98 79BHF5@@M GMAA9HF=7 =: H<9F9 =G "&, GI7< H<5H :CF 5BM 7<CF8 1/ / 3
(132) / / H<9 6CIB85FM C:
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(137) G9J9F5@ 8=9BF9BH 8=GH5B79G 69HK99B 7CBJ9L 6C8=9G <5J9 699B =BHFC8I798 ACB; H<9A H<9 :C@@CK=B; (=B?CKG?= 8=GH5B79 <5G H<9 58J5BH5;9 H<5H =H =G 5B9 =BJ5F=5BH $H =G 5 B5HIF5@ ;9B9F5@=N5 H=CB C: H<9 5B57< (5NIF 8=GH5B79 09 8CBH ?BCK K<9B =H K5G FGH =BHFC8I798 !CF 5 L98 / 5B8
(138) K9 89BCH9 6M ' / H<9 5B9 A5D 89B98 6M ' / / / /. . / .
(139) B8 :CF G=AD@=7=HM
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(144) G=B79 H<9 (=B?CKG?= A95GIF9 =G 5B9 =BJ5F=5BH
(145) B5A9@M . . :CF 5@@ BCBG=;I@5F 5B8
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(147)
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(149) =9
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