diff --git a/Secondo anno/Elementi di probabilità e statistica/main.pdf b/Secondo anno/Elementi di probabilità e statistica/main.pdf index 6cdb79c..1aaab5d 100644 --- a/Secondo anno/Elementi di probabilità e statistica/main.pdf +++ b/Secondo anno/Elementi di probabilità e statistica/main.pdf @@ -58,7 +58,7 @@ endobj << /S /GoTo /D (section*.11) >> endobj 43 0 obj -(\376\377\000A\000n\000a\000l\000i\000s\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000a) +(\376\377\000A\000n\000a\000l\000i\000s\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000a\000\040\000e\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 44 0 obj << /S /GoTo /D (section*.12) >> @@ -73,467 +73,461 @@ endobj (\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000i\000n\000s\000i\000e\000m\000i) endobj 52 0 obj -<< /S /GoTo /D (section*.14) >> +<< /S /GoTo /D (chapter*.14) >> endobj 55 0 obj -(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) +(\376\377\000L\000i\000s\000t\000a\000\040\000d\000e\000l\000l\000e\000\040\000i\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000e\000\040\000s\000o\000m\000m\000a\000t\000o\000r\000i\000e) endobj 56 0 obj -<< /S /GoTo /D (chapter*.15) >> +<< /S /GoTo /D (chapter.1) >> endobj 59 0 obj -(\376\377\000L\000i\000s\000t\000a\000\040\000d\000e\000l\000l\000e\000\040\000i\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000e\000\040\000s\000o\000m\000m\000a\000t\000o\000r\000i\000e) +(\376\377\000S\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) endobj 60 0 obj -<< /S /GoTo /D (chapter.1) >> +<< /S /GoTo /D (section.1.1) >> endobj 63 0 obj -(\376\377\000S\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000p\000r\000e\000l\000i\000m\000i\000n\000a\000r\000i) endobj 64 0 obj -<< /S /GoTo /D (section.1.1) >> +<< /S /GoTo /D (subsection.1.1.1) >> endobj 67 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000p\000r\000e\000l\000i\000m\000i\000n\000a\000r\000i) +(\376\377\000E\000s\000p\000e\000r\000i\000m\000e\000n\000t\000o\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000o\000,\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i) endobj 68 0 obj -<< /S /GoTo /D (subsection.1.1.1) >> +<< /S /GoTo /D (subsection.1.1.2) >> endobj 71 0 obj -(\376\377\000E\000s\000p\000e\000r\000i\000m\000e\000n\000t\000o\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000o\000,\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i) +(\376\377\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000,\000\040\000s\000p\000a\000z\000i\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000m\000i\000s\000u\000r\000a\000b\000i\000l\000i) endobj 72 0 obj -<< /S /GoTo /D (subsection.1.1.2) >> +<< /S /GoTo /D (subsection.1.1.3) >> endobj 75 0 obj -(\376\377\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000,\000\040\000s\000p\000a\000z\000i\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000m\000i\000s\000u\000r\000a\000b\000i\000l\000i) +(\376\377\000I\000n\000s\000i\000e\000m\000i\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000n\000a\000t\000u\000r\000a\000l\000e) endobj 76 0 obj -<< /S /GoTo /D (subsection.1.1.3) >> +<< /S /GoTo /D (subsection.1.1.4) >> endobj 79 0 obj -(\376\377\000I\000n\000s\000i\000e\000m\000i\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000n\000a\000t\000u\000r\000a\000l\000e) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000u\000n\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000g\000e\000n\000e\000r\000a\000t\000a) endobj 80 0 obj -<< /S /GoTo /D (subsection.1.1.4) >> +<< /S /GoTo /D (section.1.2) >> endobj 83 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000u\000n\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000e\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000g\000e\000n\000e\000r\000a\000t\000a) +(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000e\000\040\000l\000o\000g\000i\000c\000h\000e\000\040\000e\000\040\000r\000e\000l\000a\000z\000i\000o\000n\000a\000l\000i\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) endobj 84 0 obj -<< /S /GoTo /D (section.1.2) >> +<< /S /GoTo /D (section.1.3) >> endobj 87 0 obj -(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000e\000\040\000l\000o\000g\000i\000c\000h\000e\000\040\000e\000\040\000r\000e\000l\000a\000z\000i\000o\000n\000a\000l\000i\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) +(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) endobj 88 0 obj -<< /S /GoTo /D (section.1.3) >> +<< /S /GoTo /D (subsection.1.3.1) >> endobj 91 0 obj -(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) +(\376\377\000L\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P\000\040\000s\000u\000\040\003\251\000\040\000e\000\040\000s\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) endobj 92 0 obj -<< /S /GoTo /D (subsection.1.3.1) >> +<< /S /GoTo /D (subsection.1.3.2) >> endobj 95 0 obj -(\376\377\000L\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P\000\040\000s\000u\000\040\003\251\000\040\000e\000\040\000s\000p\000a\000z\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P) endobj 96 0 obj -<< /S /GoTo /D (subsection.1.3.2) >> +<< /S /GoTo /D (subsection.1.3.3) >> endobj 99 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000P) +(\376\377\000E\000v\000e\000n\000t\000i\000\040\000i\000n\000c\000o\000m\000p\000a\000t\000i\000b\000i\000l\000i\000,\000\040\000q\000u\000a\000s\000i\000\040\000c\000e\000r\000t\000i\000\040\000e\000\040\000t\000r\000a\000s\000c\000u\000r\000a\000b\000i\000l\000i\000,\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000c\000h\000e\000\040\000a\000c\000c\000a\000d\000o\000n\000o\000\040\000q\000.\000c\000.) endobj 100 0 obj -<< /S /GoTo /D (subsection.1.3.3) >> +<< /S /GoTo /D (section.1.4) >> endobj 103 0 obj -(\376\377\000E\000v\000e\000n\000t\000i\000\040\000i\000n\000c\000o\000m\000p\000a\000t\000i\000b\000i\000l\000i\000,\000\040\000q\000u\000a\000s\000i\000\040\000c\000e\000r\000t\000i\000\040\000e\000\040\000t\000r\000a\000s\000c\000u\000r\000a\000b\000i\000l\000i\000,\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000c\000h\000e\000\040\000a\000c\000c\000a\000d\000o\000n\000o\000\040\000q\000.\000c\000.) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000t\000a) endobj 104 0 obj -<< /S /GoTo /D (section.1.4) >> +<< /S /GoTo /D (subsection.1.4.1) >> endobj 107 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000t\000a) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000P\000\050\040\042\000|\000B\000\051) endobj 108 0 obj -<< /S /GoTo /D (subsection.1.4.1) >> +<< /S /GoTo /D (subsection.1.4.2) >> endobj 111 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000P\000\050\040\042\000|\000B\000\051) +(\376\377\000R\000e\000g\000o\000l\000a\000\040\000d\000e\000l\000l\000a\000\040\000c\000a\000t\000e\000n\000a\000,\000\040\000f\000o\000r\000m\000u\000l\000a\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000t\000o\000t\000a\000l\000i\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000B\000a\000y\000e\000s) endobj 112 0 obj -<< /S /GoTo /D (subsection.1.4.2) >> +<< /S /GoTo /D (subsection.1.4.3) >> endobj 115 0 obj -(\376\377\000R\000e\000g\000o\000l\000a\000\040\000d\000e\000l\000l\000a\000\040\000c\000a\000t\000e\000n\000a\000,\000\040\000f\000o\000r\000m\000u\000l\000a\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000t\000o\000t\000a\000l\000i\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000B\000a\000y\000e\000s) +(\376\377\000R\000a\000p\000p\000o\000r\000t\000o\000\040\000d\000i\000\040\000i\000n\000f\000l\000u\000e\000n\000z\000a\000,\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000p\000o\000s\000i\000t\000i\000v\000a\000\040\000e\000\040\000n\000e\000g\000a\000t\000i\000v\000a) endobj 116 0 obj -<< /S /GoTo /D (subsection.1.4.3) >> +<< /S /GoTo /D (section.1.5) >> endobj 119 0 obj -(\376\377\000R\000a\000p\000p\000o\000r\000t\000o\000\040\000d\000i\000\040\000i\000n\000f\000l\000u\000e\000n\000z\000a\000,\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000p\000o\000s\000i\000t\000i\000v\000a\000\040\000e\000\040\000n\000e\000g\000a\000t\000i\000v\000a) +(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000s\000t\000o\000c\000a\000s\000t\000i\000c\000a\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) endobj 120 0 obj -<< /S /GoTo /D (section.1.5) >> +<< /S /GoTo /D (chapter.2) >> endobj 123 0 obj -(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000s\000t\000o\000c\000a\000s\000t\000i\000c\000a\000\040\000t\000r\000a\000\040\000e\000v\000e\000n\000t\000i) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) endobj 124 0 obj -<< /S /GoTo /D (chapter.2) >> +<< /S /GoTo /D (section.2.1) >> endobj 127 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) +(\376\377\000F\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) endobj 128 0 obj -<< /S /GoTo /D (section.2.1) >> +<< /S /GoTo /D (subsection.2.1.1) >> endobj 131 0 obj -(\376\377\000F\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000p\000e\000r\000\040\000i\000l\000\040\000c\000a\000s\000o\000\040\000d\000i\000s\000c\000r\000e\000t\000o) endobj 132 0 obj -<< /S /GoTo /D (subsection.2.1.1) >> +<< /S /GoTo /D (subsection.2.1.2) >> endobj 135 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000p\000e\000r\000\040\000i\000l\000\040\000c\000a\000s\000o\000\040\000d\000i\000s\000c\000r\000e\000t\000o) +(\376\377\000R\000a\000n\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000e\000s\000t\000r\000i\000z\000i\000o\000n\000e) endobj 136 0 obj -<< /S /GoTo /D (subsection.2.1.2) >> +<< /S /GoTo /D (subsection.2.1.3) >> endobj 139 0 obj -(\376\377\000R\000a\000n\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000e\000s\000t\000r\000i\000z\000i\000o\000n\000e) +(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000s\000u\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000\040\000n\000o\000n\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000z\000z\000a\000z\000i\000o\000n\000e) endobj 140 0 obj -<< /S /GoTo /D (subsection.2.1.3) >> +<< /S /GoTo /D (section.2.2) >> endobj 143 0 obj -(\376\377\000M\000i\000s\000u\000r\000e\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000s\000u\000\040\000s\000p\000a\000z\000i\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000\040\000n\000o\000n\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000\040\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000i\000z\000z\000a\000z\000i\000o\000n\000e) +(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e) endobj 144 0 obj -<< /S /GoTo /D (section.2.2) >> +<< /S /GoTo /D (subsection.2.2.1) >> endobj 147 0 obj -(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000.\000a\000.\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) endobj 148 0 obj -<< /S /GoTo /D (subsection.2.2.1) >> +<< /S /GoTo /D (subsection.2.2.2) >> endobj 151 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000v\000.\000a\000.\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) +(\376\377\000L\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000X\000\040\000e\000\040\000c\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000c\000a\000n\000o\000n\000i\000c\000a) endobj 152 0 obj -<< /S /GoTo /D (subsection.2.2.2) >> +<< /S /GoTo /D (subsection.2.2.3) >> endobj 155 0 obj -(\376\377\000L\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000X\000\040\000e\000\040\000c\000o\000s\000t\000r\000u\000z\000i\000o\000n\000e\000\040\000c\000a\000n\000o\000n\000i\000c\000a) +(\376\377\000U\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000q\000.\000c\000.\000,\000\040\000m\000e\000d\000e\000s\000i\000m\000a\000\040\000l\000e\000g\000g\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) endobj 156 0 obj -<< /S /GoTo /D (subsection.2.2.3) >> +<< /S /GoTo /D (subsection.2.2.4) >> endobj 159 0 obj -(\376\377\000U\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000q\000.\000c\000.\000,\000\040\000m\000e\000d\000e\000s\000i\000m\000a\000\040\000l\000e\000g\000g\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) +(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000e\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000a\000\040\000m\000u\000l\000t\000i\000v\000a\000r\000i\000a\000t\000a\000,\000\040\000l\000e\000g\000g\000i\000\040\000c\000o\000n\000g\000i\000u\000n\000t\000e\000\040\000e\000\040\000m\000a\000r\000g\000i\000n\000a\000l\000i) endobj 160 0 obj -<< /S /GoTo /D (subsection.2.2.4) >> +<< /S /GoTo /D (subsection.2.2.5) >> endobj 163 0 obj -(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000e\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000a\000\040\000m\000u\000l\000t\000i\000v\000a\000r\000i\000a\000t\000a\000,\000\040\000l\000e\000g\000g\000i\000\040\000c\000o\000n\000g\000i\000u\000n\000t\000e\000\040\000e\000\040\000m\000a\000r\000g\000i\000n\000a\000l\000i) +(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000d\000i\000\040\000v\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000n\000g\000i\000u\000n\000z\000i\000o\000n\000e\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) endobj 164 0 obj -<< /S /GoTo /D (subsection.2.2.5) >> +<< /S /GoTo /D (section.2.3) >> endobj 167 0 obj -(\376\377\000I\000n\000d\000i\000p\000e\000n\000d\000e\000n\000z\000a\000\040\000d\000i\000\040\000v\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000d\000i\000s\000c\000r\000e\000t\000e\000\040\000e\000\040\000s\000t\000a\000b\000i\000l\000i\000t\000\340\000\040\000p\000e\000r\000\040\000c\000o\000n\000g\000i\000u\000n\000z\000i\000o\000n\000e\000\040\000e\000\040\000c\000o\000m\000p\000o\000s\000i\000z\000i\000o\000n\000e) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000m\000e\000n\000t\000i) endobj 168 0 obj -<< /S /GoTo /D (section.2.3) >> +<< /S /GoTo /D (subsection.2.3.1) >> endobj 171 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000m\000e\000n\000t\000i) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000s\000u\000\040\000v\000.\000a\000.\000\040\000i\000n\000t\000e\000g\000r\000a\000b\000i\000l\000i\000\040\000e\000/\000o\000\040\000n\000o\000n\000\040\000n\000e\000g\000a\000t\000i\000v\000e) endobj 172 0 obj -<< /S /GoTo /D (subsection.2.3.1) >> +<< /S /GoTo /D (subsection.2.3.2) >> endobj 175 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000s\000u\000\040\000v\000.\000a\000.\000\040\000i\000n\000t\000e\000g\000r\000a\000b\000i\000l\000i\000\040\000e\000/\000o\000\040\000n\000o\000n\000\040\000n\000e\000g\000a\000t\000i\000v\000e) +(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000l\000t\000i\000p\000l\000i\000c\000a\000t\000i\000v\000i\000t\000\340\000\040\000p\000e\000r\000\040\000v\000.\000a\000.\000\040\000i\000n\000d\000i\000p\000e\000n\000d\000e\000n\000t\000i) endobj 176 0 obj -<< /S /GoTo /D (subsection.2.3.2) >> +<< /S /GoTo /D (subsection.2.3.3) >> endobj 179 0 obj -(\376\377\000P\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000\040\000v\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000e\000\040\000m\000o\000l\000t\000i\000p\000l\000i\000c\000a\000t\000i\000v\000i\000t\000\340\000\040\000p\000e\000r\000\040\000v\000.\000a\000.\000\040\000i\000n\000d\000i\000p\000e\000n\000d\000e\000n\000t\000i) +(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000l\000e) endobj 180 0 obj -<< /S /GoTo /D (subsection.2.3.3) >> +<< /S /GoTo /D (subsection.2.3.4) >> endobj 183 0 obj -(\376\377\000V\000a\000l\000o\000r\000e\000\040\000a\000t\000t\000e\000s\000o\000\040\000c\000o\000n\000d\000i\000z\000i\000o\000n\000a\000l\000e) +(\376\377\000M\000o\000m\000e\000n\000t\000i\000\040\000\050\000a\000s\000s\000o\000l\000u\000t\000i\000\051\000\040\000n\000-\000e\000s\000i\000m\000i) endobj 184 0 obj -<< /S /GoTo /D (subsection.2.3.4) >> +<< /S /GoTo /D (subsection.2.3.5) >> endobj 187 0 obj -(\376\377\000M\000o\000m\000e\000n\000t\000i\000\040\000\050\000a\000s\000s\000o\000l\000u\000t\000i\000\051\000\040\000n\000-\000e\000s\000i\000m\000i) +(\376\377\000D\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000M\000a\000r\000k\000o\000v\000,\000\040\000d\000i\000\040\000H\000\366\000l\000d\000e\000r\000,\000\040\000d\000i\000\040\000C\000a\000u\000c\000h\000y\000-\000S\000c\000h\000w\000a\000r\000z\000\040\000e\000\040\000d\000i\000\040\000J\000e\000n\000s\000e\000n) endobj 188 0 obj -<< /S /GoTo /D (subsection.2.3.5) >> +<< /S /GoTo /D (section.2.4) >> endobj 191 0 obj -(\376\377\000D\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000M\000a\000r\000k\000o\000v\000,\000\040\000d\000i\000\040\000H\000\366\000l\000d\000e\000r\000,\000\040\000d\000i\000\040\000C\000a\000u\000c\000h\000y\000-\000S\000c\000h\000w\000a\000r\000z\000\040\000e\000\040\000d\000i\000\040\000J\000e\000n\000s\000e\000n) +(\376\377\000A\000l\000t\000r\000i\000\040\000i\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000c\000e\000n\000t\000r\000a\000l\000i\000t\000\340\000:\000\040\000m\000o\000d\000a\000\040\000e\000\040\000m\000e\000d\000i\000a\000n\000a) endobj 192 0 obj -<< /S /GoTo /D (section.2.4) >> +<< /S /GoTo /D (section.2.5) >> endobj 195 0 obj -(\376\377\000A\000l\000t\000r\000i\000\040\000i\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000c\000e\000n\000t\000r\000a\000l\000i\000t\000\340\000:\000\040\000m\000o\000d\000a\000\040\000e\000\040\000m\000e\000d\000i\000a\000n\000a) +(\376\377\000I\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000d\000i\000s\000p\000e\000r\000s\000i\000o\000n\000e\000:\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000d\000e\000v\000.\000\040\000s\000t\000a\000n\000d\000a\000r\000d\000\040\000e\000\040\000c\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e) endobj 196 0 obj -<< /S /GoTo /D (section.2.5) >> +<< /S /GoTo /D (subsection.2.5.1) >> endobj 199 0 obj -(\376\377\000I\000n\000d\000i\000c\000i\000\040\000d\000i\000\040\000d\000i\000s\000p\000e\000r\000s\000i\000o\000n\000e\000:\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000v\000a\000r\000i\000a\000n\000z\000a\000,\000\040\000d\000e\000v\000.\000\040\000s\000t\000a\000n\000d\000a\000r\000d\000\040\000e\000\040\000c\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000c\000o\000m\000e\000\040\000f\000o\000r\000m\000a\000\040\000b\000i\000l\000i\000n\000e\000a\000r\000e\000\040\000s\000i\000m\000m\000e\000t\000r\000i\000c\000a) endobj 200 0 obj -<< /S /GoTo /D (subsection.2.5.1) >> +<< /S /GoTo /D (subsection.2.5.2) >> endobj 203 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000c\000o\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000c\000o\000m\000e\000\040\000f\000o\000r\000m\000a\000\040\000b\000i\000l\000i\000n\000e\000a\000r\000e\000\040\000s\000i\000m\000m\000e\000t\000r\000i\000c\000a) +(\376\377\000I\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000\050\000c\000o\000\051\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000e\000\040\000d\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000C\000h\000e\000b\000y\000s\000h\000e\000v) endobj 204 0 obj -<< /S /GoTo /D (subsection.2.5.2) >> +<< /S /GoTo /D (subsection.2.5.3) >> endobj 207 0 obj -(\376\377\000I\000d\000e\000n\000t\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000\050\000c\000o\000\051\000v\000a\000r\000i\000a\000n\000z\000a\000\040\000e\000\040\000d\000i\000s\000u\000g\000u\000a\000g\000l\000i\000a\000n\000z\000a\000\040\000d\000i\000\040\000C\000h\000e\000b\000y\000s\000h\000e\000v) +(\376\377\000C\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000e\000\040\000r\000e\000t\000t\000a\000\040\000d\000i\000\040\000r\000e\000g\000r\000e\000s\000s\000i\000o\000n\000e\000\040\000l\000i\000n\000e\000a\000r\000e) endobj 208 0 obj -<< /S /GoTo /D (subsection.2.5.3) >> +<< /S /GoTo /D (section.2.6) >> endobj 211 0 obj -(\376\377\000C\000o\000e\000f\000f\000.\000\040\000d\000i\000\040\000c\000o\000r\000r\000e\000l\000a\000z\000i\000o\000n\000e\000\040\000e\000\040\000r\000e\000t\000t\000a\000\040\000d\000i\000\040\000r\000e\000g\000r\000e\000s\000s\000i\000o\000n\000e\000\040\000l\000i\000n\000e\000a\000r\000e) +(\376\377\000L\000e\000g\000g\000e\000\040\000d\000e\000i\000\040\000g\000r\000a\000n\000d\000i\000\040\000n\000u\000m\000e\000r\000i\000\040\000\050\000L\000G\000N\000\051\000,\000\040\000m\000e\000d\000i\000a\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000a\000\040\000e\000\040\000l\000i\000m\000i\000t\000e\000\040\000i\000n\000\040\000s\000e\000n\000s\000o\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000o) endobj 212 0 obj -<< /S /GoTo /D (section.2.6) >> +<< /S /GoTo /D (subsection.2.6.1) >> endobj 215 0 obj -(\376\377\000L\000e\000g\000g\000e\000\040\000d\000e\000i\000\040\000g\000r\000a\000n\000d\000i\000\040\000n\000u\000m\000e\000r\000i\000\040\000\050\000L\000G\000N\000\051\000,\000\040\000m\000e\000d\000i\000a\000\040\000c\000a\000m\000p\000i\000o\000n\000a\000r\000i\000a\000\040\000e\000\040\000l\000i\000m\000i\000t\000e\000\040\000i\000n\000\040\000s\000e\000n\000s\000o\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000o) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000d\000\040\000e\000n\000u\000n\000c\000i\000a\000t\000o) endobj 216 0 obj -<< /S /GoTo /D (subsection.2.6.1) >> +<< /S /GoTo /D (subsection.2.6.2) >> endobj 219 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000d\000\040\000e\000n\000u\000n\000c\000i\000a\000t\000o) +(\376\377\000T\000r\000a\000s\000f\000o\000r\000m\000a\000t\000a\000\040\000d\000i\000\040\000C\000r\000a\000m\000e\000r\000\040\000p\000e\000r\000\040\000l\000'\000o\000t\000t\000i\000m\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000s\000t\000i\000m\000a) endobj 220 0 obj -<< /S /GoTo /D (subsection.2.6.2) >> +<< /S /GoTo /D (section.2.7) >> endobj 223 0 obj -(\376\377\000T\000r\000a\000s\000f\000o\000r\000m\000a\000t\000a\000\040\000d\000i\000\040\000C\000r\000a\000m\000e\000r\000\040\000p\000e\000r\000\040\000l\000'\000o\000t\000t\000i\000m\000i\000z\000z\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000s\000t\000i\000m\000a) +(\376\377\000T\000e\000o\000r\000e\000m\000a\000\040\000c\000e\000n\000t\000r\000a\000l\000e\000\040\000d\000e\000l\000\040\000l\000i\000m\000i\000t\000e\000\040\000\050\000T\000C\000L\000,\000\040\000o\000\040\000T\000L\000C\000\051) endobj 224 0 obj -<< /S /GoTo /D (section.2.7) >> +<< /S /GoTo /D (subsection.2.7.1) >> endobj 227 0 obj -(\376\377\000T\000e\000o\000r\000e\000m\000a\000\040\000c\000e\000n\000t\000r\000a\000l\000e\000\040\000d\000e\000l\000\040\000l\000i\000m\000i\000t\000e\000\040\000\050\000T\000C\000L\000,\000\040\000o\000\040\000T\000L\000C\000\051) +(\376\377\000I\000n\000t\000u\000i\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000\040\000T\000C\000L\000:\000\040\000z\000o\000o\000m\000-\000i\000n\000\040\000e\000\040\000s\000c\000a\000l\000i\000n\000g) endobj 228 0 obj -<< /S /GoTo /D (subsection.2.7.1) >> +<< /S /GoTo /D (subsection.2.7.2) >> endobj 231 0 obj -(\376\377\000I\000n\000t\000u\000i\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000\040\000T\000C\000L\000:\000\040\000z\000o\000o\000m\000-\000i\000n\000\040\000e\000\040\000s\000c\000a\000l\000i\000n\000g) +(\376\377\000E\000n\000u\000n\000c\000i\000a\000t\000o\000\040\000d\000e\000l\000\040\000T\000C\000L\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000D\000e\000\040\000M\000o\000i\000v\000r\000e\000-\000L\000a\000p\000l\000a\000c\000e\000\040\000p\000e\000r\000\040\000l\000a\000\040\000d\000i\000s\000t\000r\000.\000\040\000b\000i\000n\000o\000m\000i\000a\000l\000e) endobj 232 0 obj -<< /S /GoTo /D (subsection.2.7.2) >> +<< /S /GoTo /D (section.2.8) >> endobj 235 0 obj -(\376\377\000E\000n\000u\000n\000c\000i\000a\000t\000o\000\040\000d\000e\000l\000\040\000T\000C\000L\000\040\000e\000\040\000T\000e\000o\000r\000e\000m\000a\000\040\000d\000i\000\040\000D\000e\000\040\000M\000o\000i\000v\000r\000e\000-\000L\000a\000p\000l\000a\000c\000e\000\040\000p\000e\000r\000\040\000l\000a\000\040\000d\000i\000s\000t\000r\000.\000\040\000b\000i\000n\000o\000m\000i\000a\000l\000e) +(\376\377\000M\000o\000d\000e\000l\000l\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000i\000\040\000c\000l\000a\000s\000s\000i\000c\000i) endobj 236 0 obj -<< /S /GoTo /D (section.2.8) >> +<< /S /GoTo /D (subsection.2.8.1) >> endobj 239 0 obj -(\376\377\000M\000o\000d\000e\000l\000l\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000s\000t\000i\000c\000i\000\040\000c\000l\000a\000s\000s\000i\000c\000i) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000u\000n\000i\000f\000o\000r\000m\000e) endobj 240 0 obj -<< /S /GoTo /D (subsection.2.8.1) >> +<< /S /GoTo /D (subsection.2.8.2) >> endobj 243 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000u\000n\000i\000f\000o\000r\000m\000e) +(\376\377\000S\000e\000q\000u\000e\000n\000z\000e\000\040\000d\000i\000\040\000e\000s\000p\000e\000r\000i\000m\000e\000n\000t\000i\000\040\000e\000\040\000m\000o\000d\000e\000l\000l\000o\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000v\000e\000\040\000r\000i\000p\000e\000t\000u\000t\000e\000\040\000d\000i\000\040\000B\000e\000r\000n\000o\000u\000l\000l\000i) endobj 244 0 obj -<< /S /GoTo /D (subsection.2.8.2) >> +<< /S /GoTo /D (chapter.3) >> endobj 247 0 obj -(\376\377\000S\000e\000q\000u\000e\000n\000z\000e\000\040\000d\000i\000\040\000e\000s\000p\000e\000r\000i\000m\000e\000n\000t\000i\000\040\000e\000\040\000m\000o\000d\000e\000l\000l\000o\000\040\000d\000e\000l\000l\000e\000\040\000p\000r\000o\000v\000e\000\040\000r\000i\000p\000e\000t\000u\000t\000e\000\040\000d\000i\000\040\000B\000e\000r\000n\000o\000u\000l\000l\000i) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000r\000e\000t\000t\000a\000\040\000r\000e\000a\000l\000e) endobj 248 0 obj -<< /S /GoTo /D (chapter.3) >> +<< /S /GoTo /D (section.3.1) >> endobj 251 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000s\000u\000l\000l\000a\000\040\000r\000e\000t\000t\000a\000\040\000r\000e\000a\000l\000e) +(\376\377\000C\000e\000n\000n\000i\000\040\000d\000i\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 252 0 obj -<< /S /GoTo /D (section.3.1) >> +<< /S /GoTo /D (subsection.3.1.1) >> endobj 255 0 obj -(\376\377\000C\000e\000n\000n\000i\000\040\000d\000i\000\040\000t\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) +(\376\377\000L\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000d\000i\000\040\000B\000o\000r\000e\000l\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000b\000o\000r\000e\000l\000i\000a\000n\000e) endobj 256 0 obj -<< /S /GoTo /D (subsection.3.1.1) >> +<< /S /GoTo /D (subsection.3.1.2) >> endobj 259 0 obj -(\376\377\000L\000a\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000a\000\040\000d\000i\000\040\000B\000o\000r\000e\000l\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000i\000\040\000b\000o\000r\000e\000l\000i\000a\000n\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000m\000i\000s\000u\000r\000a\000,\000\040\003\300\000-\000s\000i\000s\000t\000e\000m\000i\000\040\000p\000e\000r\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000\040\000e\000\040\000l\000e\000m\000m\000a\000\040\000d\000i\000\040\000D\000y\000n\000k\000i\000n) endobj 260 0 obj -<< /S /GoTo /D (subsection.3.1.2) >> +<< /S /GoTo /D (subsection.3.1.3) >> endobj 263 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000i\000\040\000m\000i\000s\000u\000r\000a\000,\000\040\003\300\000-\000s\000i\000s\000t\000e\000m\000i\000\040\000p\000e\000r\000\040\003\303\000-\000a\000l\000g\000e\000b\000r\000e) +(\376\377\000L\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000d\000i\000\040\000L\000e\000b\000e\000s\000g\000u\000e) endobj 264 0 obj -<< /S /GoTo /D (subsection.3.1.3) >> +<< /S /GoTo /D (section.3.2) >> endobj 267 0 obj -(\376\377\000L\000a\000\040\000m\000i\000s\000u\000r\000a\000\040\000d\000i\000\040\000L\000e\000b\000e\000s\000g\000u\000e) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e\000,\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000r\000i\000p\000a\000r\000t\000i\000z\000i\000o\000n\000e\000\040\000\050\000f\000.\000d\000.\000r\000.\000\051\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340) endobj 268 0 obj -<< /S /GoTo /D (section.3.2) >> +<< /S /GoTo /D (subsection.3.2.1) >> endobj 271 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e\000,\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000r\000i\000p\000a\000r\000t\000i\000z\000i\000o\000n\000e\000\040\000\050\000f\000.\000d\000.\000r\000.\000\051\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) endobj 272 0 obj -<< /S /GoTo /D (subsection.3.2.1) >> +<< /S /GoTo /D (subsection.3.2.2) >> endobj 275 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000i\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) +(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000a\000\040\000t\000r\000a\000\040\000f\000.\000d\000.\000r\000.\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000,\000\040\000c\000a\000l\000c\000o\000l\000o\000\040\000d\000i\000\040\000P\000\040\000t\000r\000a\000m\000i\000t\000e\000\040\000F\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000t\000i\000n\000u\000e) endobj 276 0 obj -<< /S /GoTo /D (subsection.3.2.2) >> +<< /S /GoTo /D (section.3.3) >> endobj 279 0 obj -(\376\377\000C\000o\000r\000r\000i\000s\000p\000o\000n\000d\000e\000n\000z\000a\000\040\000t\000r\000a\000\040\000f\000.\000d\000.\000r\000.\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000,\000\040\000c\000a\000l\000c\000o\000l\000o\000\040\000d\000i\000\040\000P\000\040\000t\000r\000a\000m\000i\000t\000e\000\040\000F\000\040\000e\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000c\000o\000n\000t\000i\000n\000u\000e) +(\376\377\000C\000l\000a\000s\000s\000i\000\040\000p\000r\000i\000n\000c\000i\000p\000a\000l\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e) endobj 280 0 obj -<< /S /GoTo /D (section.3.3) >> +<< /S /GoTo /D (section.3.4) >> endobj 283 0 obj -(\376\377\000C\000l\000a\000s\000s\000i\000\040\000p\000r\000i\000n\000c\000i\000p\000a\000l\000i\000\040\000d\000i\000\040\000p\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000r\000e\000a\000l\000e) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000a\000p\000p\000r\000e\000s\000e\000n\000t\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) endobj 284 0 obj -<< /S /GoTo /D (section.3.4) >> +<< /S /GoTo /D (section.3.5) >> endobj 287 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a\000\040\000e\000\040\000r\000a\000p\000p\000r\000e\000s\000e\000n\000t\000a\000z\000i\000o\000n\000e\000\040\000d\000e\000l\000l\000a\000\040\000f\000.\000d\000.\000r\000.) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000a\000s\000s\000o\000l\000u\000t\000a\000m\000e\000n\000t\000e\000\040\000c\000o\000n\000t\000i\000n\000u\000e\000\040\000\050\000A\000C\000\051) endobj 288 0 obj -<< /S /GoTo /D (section.3.5) >> +<< /S /GoTo /D (subsection.3.5.1) >> endobj 291 0 obj -(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000a\000s\000s\000o\000l\000u\000t\000a\000m\000e\000n\000t\000e\000\040\000c\000o\000n\000t\000i\000n\000u\000e\000\040\000\050\000A\000C\000\051) +(\376\377\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000A\000C\000\040\000e\000\040\000f\000u\000n\000z\000i\000o\000n\000e\000\040\000d\000i\000\040\000d\000e\000n\000s\000i\000t\000\340) endobj 292 0 obj -<< /S /GoTo /D (subsection.3.5.1) >> +<< /S /GoTo /D (subsection.3.5.2) >> endobj 295 0 obj 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-<< /S /GoTo /D (section.3.6) >> +<< /S /GoTo /D (subsection.3.6.1) >> endobj 303 0 obj -(\376\377\000V\000a\000r\000i\000a\000b\000i\000l\000i\000\040\000a\000l\000e\000a\000t\000o\000r\000i\000e\000\040\000i\000n\000\040\000g\000e\000n\000e\000r\000a\000l\000e) +(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000l\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.) endobj 304 0 obj -<< /S /GoTo /D (subsection.3.6.1) >> +<< /S /GoTo /D (subsection.3.6.2) >> endobj 307 0 obj -(\376\377\000D\000e\000f\000i\000n\000i\000z\000i\000o\000n\000e\000\040\000e\000\040\000l\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.) 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[(Item.50) 824 0 R (Item.51) 825 0 R (Item.52) 834 0 R (Item.53) 835 0 R (Item.54) 836 0 R (Item.55) 837 0 R] +/Names [(Item.50) 819 0 R (Item.51) 820 0 R (Item.52) 830 0 R (Item.53) 831 0 R (Item.54) 832 0 R (Item.55) 833 0 R] /Limits [(Item.50) (Item.55)] >> endobj -1008 0 obj +1004 0 obj << -/Names [(Item.56) 847 0 R (Item.57) 848 0 R (Item.58) 849 0 R (Item.59) 850 0 R (Item.6) 534 0 R (Item.60) 869 0 R] +/Names [(Item.56) 843 0 R (Item.57) 844 0 R (Item.58) 845 0 R (Item.59) 846 0 R (Item.6) 529 0 R (Item.60) 865 0 R] /Limits [(Item.56) (Item.60)] >> endobj -1009 0 obj +1005 0 obj << -/Names [(Item.61) 870 0 R (Item.62) 872 0 R (Item.63) 873 0 R (Item.7) 541 0 R (Item.8) 542 0 R (Item.9) 543 0 R] +/Names [(Item.61) 866 0 R (Item.62) 868 0 R (Item.63) 869 0 R (Item.7) 536 0 R (Item.8) 537 0 R (Item.9) 538 0 R] /Limits [(Item.61) (Item.9)] >> endobj -1010 0 obj +1006 0 obj << -/Names [(chapter*.1) 439 0 R (chapter*.15) 57 0 R (chapter*.17) 333 0 R (chapter*.18) 337 0 R (chapter*.19) 341 0 R (chapter*.2) 5 0 R] +/Names [(chapter*.1) 435 0 R (chapter*.14) 53 0 R (chapter*.16) 329 0 R (chapter*.17) 333 0 R (chapter*.18) 337 0 R (chapter*.2) 5 0 R] /Limits [(chapter*.1) (chapter*.2)] >> endobj -1011 0 obj +1007 0 obj << -/Names [(chapter*.9) 33 0 R (chapter.1) 61 0 R (chapter.2) 125 0 R (chapter.3) 249 0 R (page.1) 350 0 R (page.10) 538 0 R] +/Names [(chapter*.9) 33 0 R (chapter.1) 57 0 R (chapter.2) 121 0 R (chapter.3) 245 0 R (page.1) 346 0 R (page.10) 533 0 R] /Limits [(chapter*.9) (page.10)] >> endobj -1012 0 obj +1008 0 obj << -/Names [(page.11) 570 0 R (page.12) 589 0 R (page.13) 602 0 R (page.14) 621 0 R (page.15) 641 0 R (page.16) 663 0 R] +/Names [(page.11) 565 0 R (page.12) 584 0 R (page.13) 597 0 R (page.14) 616 0 R (page.15) 636 0 R (page.16) 658 0 R] /Limits [(page.11) (page.16)] >> endobj -1013 0 obj +1009 0 obj << -/Names [(page.17) 686 0 R (page.18) 712 0 R (page.19) 736 0 R (page.2) 477 0 R (page.20) 756 0 R (page.21) 771 0 R] +/Names [(page.17) 681 0 R (page.18) 707 0 R (page.19) 731 0 R (page.2) 472 0 R (page.20) 751 0 R (page.21) 766 0 R] /Limits [(page.17) (page.21)] >> endobj -1014 0 obj +1010 0 obj << -/Names [(page.22) 785 0 R (page.23) 790 0 R (page.24) 810 0 R (page.25) 845 0 R (page.26) 862 0 R (page.27) 887 0 R] +/Names [(page.22) 780 0 R (page.23) 785 0 R (page.24) 805 0 R (page.25) 841 0 R (page.26) 858 0 R (page.27) 883 0 R] /Limits [(page.22) (page.27)] >> endobj -1015 0 obj +1011 0 obj << -/Names [(page.28) 907 0 R (page.29) 914 0 R (page.3) 486 0 R (page.30) 919 0 R (page.31) 924 0 R (page.4) 493 0 R] +/Names [(page.28) 903 0 R (page.29) 910 0 R (page.3) 481 0 R (page.30) 915 0 R (page.31) 920 0 R (page.4) 488 0 R] /Limits [(page.28) (page.4)] >> endobj -1016 0 obj +1012 0 obj << -/Names [(page.5) 498 0 R (page.6) 502 0 R (page.7) 508 0 R (page.8) 512 0 R (page.9) 517 0 R (section*.10) 37 0 R] +/Names [(page.5) 493 0 R (page.6) 497 0 R (page.7) 502 0 R (page.8) 507 0 R (page.9) 512 0 R (section*.10) 37 0 R] /Limits [(page.5) (section*.10)] >> endobj +1013 0 obj +<< +/Names [(section*.11) 41 0 R (section*.12) 45 0 R (section*.13) 49 0 R (section*.15) 508 0 R (section*.3) 9 0 R (section*.4) 13 0 R] +/Limits [(section*.11) (section*.4)] +>> +endobj +1014 0 obj +<< +/Names [(section*.5) 17 0 R (section*.6) 21 0 R (section*.7) 25 0 R (section*.8) 29 0 R (section.1.1) 61 0 R (section.1.2) 81 0 R] +/Limits [(section*.5) (section.1.2)] +>> +endobj +1015 0 obj +<< +/Names [(section.1.3) 85 0 R (section.1.4) 101 0 R (section.1.5) 117 0 R (section.2.1) 125 0 R (section.2.2) 141 0 R (section.2.3) 165 0 R] +/Limits [(section.1.3) (section.2.3)] +>> +endobj +1016 0 obj +<< +/Names [(section.2.4) 189 0 R (section.2.5) 193 0 R (section.2.6) 209 0 R (section.2.7) 221 0 R (section.2.8) 233 0 R (section.3.1) 249 0 R] +/Limits [(section.2.4) (section.3.1)] +>> +endobj 1017 0 obj << -/Names [(section*.11) 41 0 R (section*.12) 45 0 R (section*.13) 49 0 R (section*.14) 53 0 R (section*.16) 513 0 R (section*.3) 9 0 R] -/Limits [(section*.11) (section*.3)] +/Names [(section.3.2) 265 0 R (section.3.3) 277 0 R (section.3.4) 281 0 R (section.3.5) 285 0 R (section.3.6) 297 0 R (section.3.7) 317 0 R] +/Limits [(section.3.2) (section.3.7)] >> endobj 1018 0 obj << -/Names [(section*.4) 13 0 R (section*.5) 17 0 R (section*.6) 21 0 R (section*.7) 25 0 R (section*.8) 29 0 R (section.1.1) 65 0 R] -/Limits [(section*.4) (section.1.1)] +/Names [(subsection.1.1.1) 65 0 R (subsection.1.1.2) 69 0 R (subsection.1.1.3) 73 0 R (subsection.1.1.4) 77 0 R (subsection.1.3.1) 89 0 R (subsection.1.3.2) 93 0 R] +/Limits [(subsection.1.1.1) (subsection.1.3.2)] >> endobj 1019 0 obj << -/Names [(section.1.2) 85 0 R (section.1.3) 89 0 R (section.1.4) 105 0 R (section.1.5) 121 0 R (section.2.1) 129 0 R (section.2.2) 145 0 R] -/Limits [(section.1.2) (section.2.2)] +/Names [(subsection.1.3.3) 97 0 R (subsection.1.4.1) 105 0 R (subsection.1.4.2) 109 0 R (subsection.1.4.3) 113 0 R (subsection.2.1.1) 129 0 R (subsection.2.1.2) 133 0 R] +/Limits [(subsection.1.3.3) (subsection.2.1.2)] >> endobj 1020 0 obj << -/Names [(section.2.3) 169 0 R (section.2.4) 193 0 R (section.2.5) 197 0 R (section.2.6) 213 0 R (section.2.7) 225 0 R (section.2.8) 237 0 R] -/Limits [(section.2.3) (section.2.8)] +/Names [(subsection.2.1.3) 137 0 R (subsection.2.2.1) 145 0 R (subsection.2.2.2) 149 0 R (subsection.2.2.3) 153 0 R (subsection.2.2.4) 157 0 R (subsection.2.2.5) 161 0 R] +/Limits [(subsection.2.1.3) (subsection.2.2.5)] >> endobj 1021 0 obj << -/Names [(section.3.1) 253 0 R (section.3.2) 269 0 R (section.3.3) 281 0 R (section.3.4) 285 0 R (section.3.5) 289 0 R (section.3.6) 301 0 R] -/Limits [(section.3.1) (section.3.6)] +/Names [(subsection.2.3.1) 169 0 R (subsection.2.3.2) 173 0 R (subsection.2.3.3) 177 0 R (subsection.2.3.4) 181 0 R (subsection.2.3.5) 185 0 R (subsection.2.5.1) 197 0 R] +/Limits [(subsection.2.3.1) (subsection.2.5.1)] >> endobj 1022 0 obj << -/Names [(section.3.7) 321 0 R (subsection.1.1.1) 69 0 R (subsection.1.1.2) 73 0 R (subsection.1.1.3) 77 0 R (subsection.1.1.4) 81 0 R (subsection.1.3.1) 93 0 R] -/Limits [(section.3.7) (subsection.1.3.1)] +/Names [(subsection.2.5.2) 201 0 R (subsection.2.5.3) 205 0 R (subsection.2.6.1) 213 0 R (subsection.2.6.2) 217 0 R (subsection.2.7.1) 225 0 R (subsection.2.7.2) 229 0 R] +/Limits [(subsection.2.5.2) (subsection.2.7.2)] >> endobj 1023 0 obj << -/Names [(subsection.1.3.2) 97 0 R (subsection.1.3.3) 101 0 R (subsection.1.4.1) 109 0 R (subsection.1.4.2) 113 0 R (subsection.1.4.3) 117 0 R (subsection.2.1.1) 133 0 R] -/Limits [(subsection.1.3.2) (subsection.2.1.1)] +/Names [(subsection.2.8.1) 237 0 R (subsection.2.8.2) 241 0 R (subsection.3.1.1) 253 0 R (subsection.3.1.2) 257 0 R (subsection.3.1.3) 261 0 R (subsection.3.2.1) 269 0 R] +/Limits [(subsection.2.8.1) (subsection.3.2.1)] >> endobj 1024 0 obj << -/Names [(subsection.2.1.2) 137 0 R (subsection.2.1.3) 141 0 R (subsection.2.2.1) 149 0 R (subsection.2.2.2) 153 0 R (subsection.2.2.3) 157 0 R (subsection.2.2.4) 161 0 R] -/Limits [(subsection.2.1.2) (subsection.2.2.4)] +/Names [(subsection.3.2.2) 273 0 R (subsection.3.5.1) 289 0 R (subsection.3.5.2) 293 0 R (subsection.3.6.1) 301 0 R (subsection.3.6.2) 305 0 R (subsection.3.6.3) 309 0 R] +/Limits [(subsection.3.2.2) (subsection.3.6.3)] >> endobj 1025 0 obj << -/Names [(subsection.2.2.5) 165 0 R (subsection.2.3.1) 173 0 R (subsection.2.3.2) 177 0 R (subsection.2.3.3) 181 0 R (subsection.2.3.4) 185 0 R (subsection.2.3.5) 189 0 R] -/Limits [(subsection.2.2.5) (subsection.2.3.5)] +/Names [(subsection.3.6.4) 313 0 R (subsection.3.7.1) 321 0 R (subsection.3.7.2) 325 0 R (table.3.1) 776 0 R (theorem.1.1) 513 0 R (theorem.1.10) 525 0 R] +/Limits [(subsection.3.6.4) (theorem.1.10)] >> endobj 1026 0 obj << -/Names [(subsection.2.5.1) 201 0 R (subsection.2.5.2) 205 0 R (subsection.2.5.3) 209 0 R (subsection.2.6.1) 217 0 R (subsection.2.6.2) 221 0 R (subsection.2.7.1) 229 0 R] -/Limits [(subsection.2.5.1) (subsection.2.7.1)] +/Names [(theorem.1.11) 526 0 R (theorem.1.12) 534 0 R (theorem.1.13) 535 0 R (theorem.1.14) 539 0 R (theorem.1.15) 540 0 R (theorem.1.16) 549 0 R] +/Limits [(theorem.1.11) (theorem.1.16)] >> endobj 1027 0 obj << -/Names [(subsection.2.7.2) 233 0 R (subsection.2.8.1) 241 0 R (subsection.2.8.2) 245 0 R (subsection.3.1.1) 257 0 R (subsection.3.1.2) 261 0 R (subsection.3.1.3) 265 0 R] -/Limits [(subsection.2.7.2) (subsection.3.1.3)] +/Names [(theorem.1.17) 550 0 R (theorem.1.18) 553 0 R (theorem.1.19) 554 0 R (theorem.1.2) 514 0 R (theorem.1.20) 555 0 R (theorem.1.21) 556 0 R] +/Limits [(theorem.1.17) (theorem.1.21)] >> endobj 1028 0 obj << -/Names [(subsection.3.2.1) 273 0 R (subsection.3.2.2) 277 0 R (subsection.3.5.1) 293 0 R (subsection.3.5.2) 297 0 R (subsection.3.6.1) 305 0 R (subsection.3.6.2) 309 0 R] -/Limits [(subsection.3.2.1) (subsection.3.6.2)] +/Names [(theorem.1.22) 557 0 R (theorem.1.23) 558 0 R (theorem.1.24) 559 0 R (theorem.1.25) 560 0 R (theorem.1.26) 566 0 R (theorem.1.27) 567 0 R] +/Limits [(theorem.1.22) (theorem.1.27)] >> endobj 1029 0 obj << -/Names [(subsection.3.6.3) 313 0 R (subsection.3.6.4) 317 0 R (subsection.3.7.1) 325 0 R (subsection.3.7.2) 329 0 R (table.3.1) 781 0 R (theorem.1.1) 518 0 R] -/Limits [(subsection.3.6.3) (theorem.1.1)] +/Names [(theorem.1.28) 568 0 R (theorem.1.29) 569 0 R (theorem.1.3) 515 0 R (theorem.1.30) 570 0 R (theorem.1.31) 571 0 R (theorem.1.32) 572 0 R] +/Limits [(theorem.1.28) (theorem.1.32)] >> endobj 1030 0 obj << -/Names [(theorem.1.10) 530 0 R (theorem.1.11) 531 0 R (theorem.1.12) 539 0 R (theorem.1.13) 540 0 R (theorem.1.14) 544 0 R (theorem.1.15) 545 0 R] -/Limits [(theorem.1.10) (theorem.1.15)] +/Names [(theorem.1.33) 573 0 R (theorem.1.34) 574 0 R (theorem.1.35) 575 0 R (theorem.1.36) 576 0 R (theorem.1.37) 578 0 R (theorem.1.38) 579 0 R] +/Limits [(theorem.1.33) (theorem.1.38)] >> endobj 1031 0 obj << -/Names [(theorem.1.16) 554 0 R (theorem.1.17) 555 0 R (theorem.1.18) 558 0 R (theorem.1.19) 559 0 R (theorem.1.2) 519 0 R (theorem.1.20) 560 0 R] -/Limits [(theorem.1.16) (theorem.1.20)] +/Names [(theorem.1.39) 580 0 R (theorem.1.4) 519 0 R (theorem.1.40) 585 0 R (theorem.1.41) 586 0 R (theorem.1.42) 587 0 R (theorem.1.43) 588 0 R] +/Limits [(theorem.1.39) (theorem.1.43)] >> endobj 1032 0 obj << -/Names [(theorem.1.21) 561 0 R (theorem.1.22) 562 0 R (theorem.1.23) 563 0 R (theorem.1.24) 564 0 R (theorem.1.25) 565 0 R (theorem.1.26) 571 0 R] -/Limits [(theorem.1.21) (theorem.1.26)] +/Names [(theorem.1.44) 589 0 R (theorem.1.45) 590 0 R (theorem.1.46) 591 0 R (theorem.1.47) 592 0 R (theorem.1.5) 520 0 R (theorem.1.6) 521 0 R] +/Limits [(theorem.1.44) (theorem.1.6)] >> endobj 1033 0 obj << -/Names [(theorem.1.27) 572 0 R (theorem.1.28) 573 0 R (theorem.1.29) 574 0 R (theorem.1.3) 520 0 R (theorem.1.30) 575 0 R (theorem.1.31) 576 0 R] -/Limits [(theorem.1.27) (theorem.1.31)] +/Names [(theorem.1.7) 522 0 R (theorem.1.8) 523 0 R (theorem.1.9) 524 0 R (theorem.2.1) 598 0 R (theorem.2.10) 609 0 R (theorem.2.100) 757 0 R] +/Limits [(theorem.1.7) (theorem.2.100)] >> endobj 1034 0 obj << -/Names [(theorem.1.32) 577 0 R (theorem.1.33) 578 0 R (theorem.1.34) 579 0 R (theorem.1.35) 580 0 R (theorem.1.36) 581 0 R (theorem.1.37) 583 0 R] -/Limits [(theorem.1.32) (theorem.1.37)] +/Names [(theorem.2.101) 758 0 R (theorem.2.102) 767 0 R (theorem.2.103) 769 0 R (theorem.2.104) 770 0 R (theorem.2.105) 771 0 R (theorem.2.106) 772 0 R] +/Limits [(theorem.2.101) (theorem.2.106)] >> endobj 1035 0 obj << -/Names [(theorem.1.38) 584 0 R (theorem.1.39) 585 0 R (theorem.1.4) 524 0 R (theorem.1.40) 590 0 R (theorem.1.41) 591 0 R (theorem.1.42) 592 0 R] -/Limits [(theorem.1.38) (theorem.1.42)] +/Names [(theorem.2.107) 773 0 R (theorem.2.108) 774 0 R (theorem.2.11) 610 0 R (theorem.2.12) 611 0 R (theorem.2.13) 617 0 R (theorem.2.14) 618 0 R] +/Limits [(theorem.2.107) (theorem.2.14)] >> endobj 1036 0 obj << -/Names [(theorem.1.43) 593 0 R (theorem.1.44) 594 0 R (theorem.1.45) 595 0 R (theorem.1.46) 596 0 R (theorem.1.47) 597 0 R (theorem.1.5) 525 0 R] -/Limits [(theorem.1.43) (theorem.1.5)] +/Names [(theorem.2.15) 619 0 R (theorem.2.16) 620 0 R (theorem.2.17) 621 0 R (theorem.2.18) 622 0 R (theorem.2.19) 623 0 R (theorem.2.2) 599 0 R] +/Limits [(theorem.2.15) (theorem.2.2)] >> endobj 1037 0 obj << -/Names [(theorem.1.6) 526 0 R (theorem.1.7) 527 0 R (theorem.1.8) 528 0 R (theorem.1.9) 529 0 R (theorem.2.1) 603 0 R (theorem.2.10) 614 0 R] -/Limits [(theorem.1.6) (theorem.2.10)] +/Names [(theorem.2.20) 624 0 R (theorem.2.21) 625 0 R (theorem.2.22) 626 0 R (theorem.2.23) 627 0 R (theorem.2.24) 628 0 R (theorem.2.25) 629 0 R] +/Limits [(theorem.2.20) (theorem.2.25)] >> endobj 1038 0 obj << -/Names [(theorem.2.100) 762 0 R (theorem.2.101) 763 0 R (theorem.2.102) 772 0 R (theorem.2.103) 774 0 R (theorem.2.104) 775 0 R (theorem.2.105) 776 0 R] -/Limits [(theorem.2.100) (theorem.2.105)] +/Names [(theorem.2.26) 630 0 R (theorem.2.27) 637 0 R (theorem.2.28) 638 0 R (theorem.2.29) 639 0 R (theorem.2.3) 602 0 R (theorem.2.30) 640 0 R] +/Limits [(theorem.2.26) (theorem.2.30)] >> endobj 1039 0 obj << -/Names [(theorem.2.106) 777 0 R (theorem.2.107) 778 0 R (theorem.2.108) 779 0 R (theorem.2.11) 615 0 R (theorem.2.12) 616 0 R (theorem.2.13) 622 0 R] -/Limits [(theorem.2.106) (theorem.2.13)] +/Names [(theorem.2.31) 641 0 R (theorem.2.32) 642 0 R (theorem.2.33) 643 0 R (theorem.2.34) 644 0 R (theorem.2.35) 645 0 R (theorem.2.36) 646 0 R] +/Limits [(theorem.2.31) (theorem.2.36)] >> endobj 1040 0 obj << -/Names [(theorem.2.14) 623 0 R (theorem.2.15) 624 0 R (theorem.2.16) 625 0 R (theorem.2.17) 626 0 R (theorem.2.18) 627 0 R (theorem.2.19) 628 0 R] -/Limits [(theorem.2.14) (theorem.2.19)] +/Names [(theorem.2.37) 647 0 R (theorem.2.38) 649 0 R (theorem.2.39) 650 0 R (theorem.2.4) 603 0 R (theorem.2.40) 651 0 R (theorem.2.41) 652 0 R] +/Limits [(theorem.2.37) (theorem.2.41)] >> endobj 1041 0 obj << -/Names [(theorem.2.2) 604 0 R (theorem.2.20) 629 0 R (theorem.2.21) 630 0 R (theorem.2.22) 631 0 R (theorem.2.23) 632 0 R (theorem.2.24) 633 0 R] -/Limits [(theorem.2.2) (theorem.2.24)] +/Names [(theorem.2.42) 659 0 R (theorem.2.43) 660 0 R (theorem.2.44) 661 0 R (theorem.2.45) 662 0 R (theorem.2.46) 665 0 R (theorem.2.47) 666 0 R] +/Limits [(theorem.2.42) (theorem.2.47)] >> endobj 1042 0 obj << -/Names [(theorem.2.25) 634 0 R (theorem.2.26) 635 0 R (theorem.2.27) 642 0 R (theorem.2.28) 643 0 R (theorem.2.29) 644 0 R (theorem.2.3) 607 0 R] -/Limits [(theorem.2.25) (theorem.2.3)] +/Names [(theorem.2.48) 667 0 R (theorem.2.49) 668 0 R (theorem.2.5) 604 0 R (theorem.2.50) 669 0 R (theorem.2.51) 670 0 R (theorem.2.52) 671 0 R] +/Limits [(theorem.2.48) (theorem.2.52)] >> endobj 1043 0 obj << -/Names [(theorem.2.30) 645 0 R (theorem.2.31) 646 0 R (theorem.2.32) 647 0 R (theorem.2.33) 648 0 R (theorem.2.34) 649 0 R (theorem.2.35) 650 0 R] -/Limits [(theorem.2.30) (theorem.2.35)] +/Names [(theorem.2.53) 674 0 R (theorem.2.54) 682 0 R (theorem.2.55) 689 0 R (theorem.2.56) 690 0 R (theorem.2.57) 691 0 R (theorem.2.58) 692 0 R] +/Limits [(theorem.2.53) (theorem.2.58)] >> endobj 1044 0 obj << -/Names [(theorem.2.36) 651 0 R (theorem.2.37) 652 0 R (theorem.2.38) 654 0 R (theorem.2.39) 655 0 R (theorem.2.4) 608 0 R (theorem.2.40) 656 0 R] -/Limits [(theorem.2.36) (theorem.2.40)] +/Names [(theorem.2.59) 693 0 R (theorem.2.6) 605 0 R (theorem.2.60) 694 0 R (theorem.2.61) 695 0 R (theorem.2.62) 696 0 R (theorem.2.63) 697 0 R] +/Limits [(theorem.2.59) (theorem.2.63)] >> endobj 1045 0 obj << -/Names [(theorem.2.41) 657 0 R (theorem.2.42) 664 0 R (theorem.2.43) 665 0 R (theorem.2.44) 666 0 R (theorem.2.45) 667 0 R (theorem.2.46) 670 0 R] -/Limits [(theorem.2.41) (theorem.2.46)] +/Names [(theorem.2.64) 698 0 R (theorem.2.65) 699 0 R (theorem.2.66) 700 0 R (theorem.2.67) 708 0 R (theorem.2.68) 709 0 R (theorem.2.69) 710 0 R] +/Limits [(theorem.2.64) (theorem.2.69)] >> endobj 1046 0 obj << -/Names [(theorem.2.47) 671 0 R 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+0000417664 00000 n +0000417834 00000 n trailer -<< /Size 1084 -/Root 1082 0 R -/Info 1083 0 R -/ID [ ] >> +<< /Size 1080 +/Root 1078 0 R +/Info 1079 0 R +/ID [ ] >> startxref -415372 +418109 %%EOF diff --git a/Secondo anno/Elementi di probabilità e statistica/preamble.tex b/Secondo anno/Elementi di probabilità e statistica/preamble.tex index b967066..030872b 100644 --- a/Secondo anno/Elementi di probabilità e statistica/preamble.tex +++ b/Secondo anno/Elementi di probabilità e statistica/preamble.tex @@ -99,6 +99,7 @@ \newcommand{\dz}{\dif{z}} \newcommand{\dt}{\dif{t}} \newcommand{\dP}{\dif{P}} +\newcommand{\dm}{\dif{\mathrm{\ \!\!m}}} %\setcounter{secnumdepth}{1} diff --git a/Secondo anno/Elementi di probabilità e statistica/sections/0-notazioni.tex b/Secondo anno/Elementi di probabilità e statistica/sections/0-notazioni.tex index 00ea26c..fcb858a 100644 --- a/Secondo anno/Elementi di probabilità e statistica/sections/0-notazioni.tex +++ b/Secondo anno/Elementi di probabilità e statistica/sections/0-notazioni.tex @@ -53,22 +53,22 @@ \] Per $p = 2$, si scrive semplicemente $\norm{x}$, e coincide con la norma indotta dal prodotto scalare canonico di $\RR^n$. - \item $f > g$ -- Per una funzione $f$ a valori reali, come affermazione + \item $f > g$ -- per una funzione $f$ a valori reali, come affermazione corrisponde a dire che per un qualsiasi punto del dominio $x$, $f(x) > g(x)$. Si estende naturalmente a $<$, $\geq$, $\leq$ (eventualmente con catene di disuguaglianze). Da non confondersi con l'insieme $f > g$. - \item $a$ -- Per una costante $a \in \RR$ la mappa costante $D \ni d \mapsto a \in \RR$; + \item $a$ -- per una costante $a \in \RR$ la mappa costante $D \ni d \mapsto a \in \RR$; la sua interpretazione dipende dal contesto. - \item $f^+$ -- Parte positiva di una mappa $f$ a valori reali, ovverosia + \item $f^+$ -- parte positiva di una mappa $f$ a valori reali, ovverosia $f^+(a)$ è uguale a $f(a)$ se $f(a) \geq 0$ e $0$ altrimenti. - \item $f^-$ -- Parte negativa di una mappa $f$ a valori reali, ovverosia + \item $f^-$ -- parte negativa di una mappa $f$ a valori reali, ovverosia $f^-(a)$ è uguale a $-f(a)$ se $f(a) \leq 0$ e $0$ altrimenti. In questo modo $f = f^+ - f^-$. - \item $\exp$ -- Funzione esponenziale $e^x$. - \item $\log \equiv \ln = \log_e$ -- Logaritmo naturale, ossia logaritmo in base $e$. - \item $C^n$ -- Classe di funzioni derivabili $n$ volte con $n$-esima derivata continua. Per $n = 0$, classe di funzioni continue. - \item $C^\infty$ -- Classe di funzioni derivabili un numero illimitato di volte. - \item $\Gamma(x) = \int_0^\infty t^{x-1} e^{-t} \dt$ -- Funzione gamma. È tale per cui $\Gamma(n+1) = n!$ per ogni $n \in \NN$. + \item $\exp$ -- funzione esponenziale $e^x$. + \item $\log \equiv \ln = \log_e$ -- logaritmo naturale, ossia logaritmo in base $e$. + \item $C^n$ -- classe di funzioni derivabili $n$ volte con $n$-esima derivata continua. Per $n = 0$, classe di funzioni continue. + \item $C^\infty$ -- classe di funzioni derivabili un numero illimitato di volte. + \item $\Gamma(x) = \int_0^\infty t^{x-1} e^{-t} \dt$ -- funzione gamma. È tale per cui $\Gamma(n+1) = n!$ per ogni $n \in \NN$. \end{itemize} \section*{Combinatoria} @@ -156,7 +156,7 @@ \item $(\Omega, \FF)$ -- spazio misurabile. \item $\pi$-sistema -- insieme $I \subseteq \FF$, $I \neq \emptyset$ con $(\Omega, \FF)$ spazio misurabile, $\sigma(I) = \FF$ e $I$ chiuso per intersezioni. \item $\mu$ -- misura su uno spazio misurabile. - \item $m$ -- misura di Lebesgue sullo spazio misurabile $(\RR, \BB(\RR))$. + \item $m$ -- misura di Lebesgue sullo spazio misurabile $(\RR, \BB(\RR))$. È tale per cui $m([a, b]) = b-a$ per $b > a$. \item $P$ -- misura di probabilità su uno spazio misurabile. \item $(\Omega, \FF, P)$ -- spazio di probabilità. \item \qc -- quasi certo/quasi certamente. diff --git a/Secondo anno/Elementi di probabilità e statistica/sections/0-prerequisiti.tex b/Secondo anno/Elementi di probabilità e statistica/sections/0-prerequisiti.tex index a761346..5b36d8b 100644 --- a/Secondo anno/Elementi di probabilità e statistica/sections/0-prerequisiti.tex +++ b/Secondo anno/Elementi di probabilità e statistica/sections/0-prerequisiti.tex @@ -22,8 +22,8 @@ dalla disuguaglianza di Cauchy-Schwarz. \end{itemize} -\section*{Analisi matematica} -\addcontentsline{toc}{section}{Analisi matematica} +\section*{Analisi matematica e teoria della misura} +\addcontentsline{toc}{section}{Analisi matematica e teoria della misura} \begin{itemize} \item \textbf{Limite delle successioni monotone} -- Se una successione @@ -63,6 +63,30 @@ \] Segue dalla disuguaglianza di Jensen applicata a $f(t) = t^p$ per $\abs{x}$ e $\abs{y}$ ($t^p$ è convessa per $t \geq 0$). + \item \textbf{Una funzione crescente ammette un insieme discreto di discontinuità} -- + È possibile costruire facilmente una funzione iniettiva da tale insieme a $\QQ$ sfruttando + i limiti sinistri nelle discontinuità. + \item \textbf{Lemma di Dynkin, versione probabilistica} -- Se + due misure di probabilità $P$ e $Q$ su $(\Omega, \FF)$ coincidono su un $\pi$-sistema di $\FF$ + contenente $\Omega$, allora $P \equiv Q$. + \item \textbf{Esistenza e unicità della misura di Lebesgue} -- Esiste ed + è unica la misura $m$ su $(\RR, \BB(\RR))$ tale per cui + $m([a, b]) = b-a$. Segue dalla versione più generale del lemma di Dynkin. + \item \textbf{Lemma di Fatou} -- + Sia $(X, \FF)$ uno spazio misurabile e sia $(f_i : X \to \RR)_{i \in \NN}$ una successione di funzioni misurabili rispetto + a $(\RR, m)$ con $f_i \geq 0$ e con + $f_i \goesup f$ puntualmente. Allora $\int_X \liminf_{i \to \infty} f_i \dm \leq \liminf_{i \to \infty} \int_X f_i \dm$. + \item \textbf{Teorema di convergenza monotona, o di Beppo Levi} -- + Sia $(X, \FF)$ uno spazio misurabile e sia $(f_i : X \to \RR)_{i \in \NN}$ una successione di funzioni misurabili rispetto + a $(\RR, m)$ con $f_i \geq 0$ e con + $f_i \goesup f$ puntualmente. Allora $f$ è misurabile e $\int_X f \dm = \lim_{i \to \infty} \int_X f_i \dm$. + \item \textbf{Teorema di convergenza dominata} -- + Sia $(X, \FF)$ uno spazio misurabile e sia $(f_i : X \to \RR)_{i \in \NN}$ una successione di funzioni misurabili rispetto + a $(\RR, m)$. Sia $f : X \to \RR$ tale per cui + $f_i \to f$ puntualmente. Se esiste una + $g : X \to \RR$ Lebesgue-integrabile con $g \geq 0$ con + $\abs{f_i} \leq g$ per ogni $i \in \NN$, allora le $f_i$ e $f$ + sono Lebesgue-integrabili e $\lim_{i \to \infty} \int_X f_i \dm = \int_X \lim_{i \to \infty} f_i \dm = \int_X f \dm$. \end{itemize} \section*{Combinatoria} @@ -139,15 +163,4 @@ per $A \subseteq C'$. \end{itemize} -\section*{Teoria della misura} -\addcontentsline{toc}{section}{Teoria della misura} - -Per quanto riguarda teoria della misura si è preferito -riportare i risultati principali dati a lezione anche sotto la -\textit{Parte 3}. - -% \begin{itemize} -% \item -% \end{itemize} - \end{multicols*} \ No newline at end of file diff --git a/Secondo anno/Elementi di probabilità e statistica/sections/3-probabilità-reale.tex b/Secondo anno/Elementi di probabilità e statistica/sections/3-probabilità-reale.tex index b63d850..93311c0 100644 --- a/Secondo anno/Elementi di probabilità e statistica/sections/3-probabilità-reale.tex +++ b/Secondo anno/Elementi di probabilità e statistica/sections/3-probabilità-reale.tex @@ -85,7 +85,7 @@ piccola di $\PP(\RR)$, la $\sigma$-algebra dei boreliani, che ci permette di esc aperte, e dunque boreliane. \end{proposition} -\subsection{Definizione e proprietà di misura, \texorpdfstring{$\pi$}{π}-sistemi per \texorpdfstring{$\sigma$}{σ}-algebre} +\subsection{Definizione e proprietà di misura, \texorpdfstring{$\pi$}{π}-sistemi per \texorpdfstring{$\sigma$}{σ}-algebre e lemma di Dynkin} \begin{definition}[Misura] Dato $(\Omega, \FF)$ spazio misurabile, una misura $\mu$ su $(\Omega, \FF)$ è una @@ -155,22 +155,23 @@ piccola di $\PP(\RR)$, la $\sigma$-algebra dei boreliani, che ci permette di esc \end{definition} \begin{remark} - Un $\pi$-sistema di una $\sigma$-algebra svolge lo ``stesso ruolo'' che una + Un $\pi$-sistema contenente di una $\sigma$-algebra contenente $\Omega$ svolge lo ``stesso ruolo'' che una base svolge per una topologia. \end{remark} \begin{lemma}[di Dynkin, versione probabilistica] - Sia $(\Omega, \FF)$ uno spazio misurabile e sia $\mathcal{C}$ un suo $\pi$-sistema. Siano + Sia $(\Omega, \FF)$ uno spazio misurabile e sia $\mathcal{C}$ un suo $\pi$-sistema contenente + $\Omega$. Siano $P$ e $Q$ due probabilità sullo spazio misurabile di $\Omega$. Se $P$ e $Q$ coincidono su $\mathcal{C}$, allora $P \equiv Q$. \end{lemma} \begin{example} - Alcuni esempi di $\pi$-sistemi per $(\RR, \BB(\RR))$ sono: + Alcuni esempi di $\pi$-sistemi contenenti $\RR$ per $(\RR, \BB(\RR))$ sono: \begin{itemize} \item gli aperti, ovverosia $\mathcal{C} = \{ A \in \FF \mid A \text{ aperto}\, \}$ (oppure i chiusi), - \item le semirette (a sinistra), ovverosia $\mathcal{C} = \{ (-\infty, a] \mid a \in \RR \}$ (oppure le semirette a destra), - \item gli intervalli semiaperti (a sinistra), ovverosia $\mathcal{C} = \{ (a, b] \mid a, b \in \RR, b > a \}$ (oppure semiaperti a destra). + \item le semirette (a sinistra), ovverosia $\mathcal{C} = \{ (-\infty, a] \mid a \in \RR \cup \{\infty\} \}$ (oppure le semirette a destra), + \item gli intervalli semiaperti (a sinistra) con aggiunti $\emptyset$ e $\RR$, ovverosia $\mathcal{C} = \{ (a, b] \mid a, b \in \RR, b > a \} \cup \{\emptyset, \RR\}$ (oppure semiaperti a destra). \end{itemize} \end{example} @@ -199,6 +200,13 @@ piccola di $\PP(\RR)$, la $\sigma$-algebra dei boreliani, che ci permette di esc $\restr{m}{[0,1]}$ a $([0, 1], \PP([0, 1]))$. \end{remark} +\begin{remark} + La misura di Lebesgue è nulla su un punto di $\RR$. Infatti, se $a \in \RR$, $m(\{a\}) = + m([a-1, a] \cap [a, a+1]) = m([a-1, a]) + m([a, a+1]) - m([a-1, a] \cup [a, a+1]) = + 1 + 1 - m([a-1, a+1]) = 1 + 1 - 2 = 0$. Dunque, $m$ è in particolare nulla su insiemi + numerabili (dacché si partizionano in modo numerabili sui punti). +\end{remark} + \section{Probabilità reale, funzione di ripartizione (f.d.r.) e proprietà} \subsection{Definizioni e proprietà della f.d.r.} @@ -668,16 +676,16 @@ che $\mu$ assuma valori finiti per le funzioni semplici). \begin{lemma}[di Fatou] Sia $(X_i)_{i \in \NN}$ una successione di v.a.~reali con $X_i \geq 0$. Allora vale che: \[ - \EE[\liminf X_i] \leq \liminf \; \EE[X_i]. + \EE\left[\liminf_{i \to \infty} X_i\right] \leq \liminf_{i \to \infty} \; \EE[X_i]. \] Segue la stessa idea di dimostrazione per il lemma nella sua forma per l'integrale di Lebesgue. \end{lemma} -\begin{theorem}[di convergenza monotona] - Sia $(X_i)_{i \in \NN}$ una successione di v.a.~reali con $X_i \geq 0$ e con - $X_i \goesup X$ q.c.~(cioè $X_i \geq 0$, la successione è crescente e - $X_i(\omega) \to X(\omega)$ per $P$-quasi ovunque). Allora $\EE[X_i] \goesup \EE[X]$. \smallskip +\begin{theorem}[di convergenza monotona, o di Beppo Levi] + Sia $(X_i)_{i \in \NN}$ una successione di v.a.~reali non negative q.c.~con + $X_i \goesup X$ q.c.~(cioè la successione è crescente e + $X_i(\omega) \to X(\omega)$ $P$-quasi ovunque). Allora $\EE[X_i] \goesup \EE[X]$. \smallskip Segue la stessa idea di dimostrazione per il teorema nella sua forma per l'integrale di Lebesgue. @@ -685,7 +693,7 @@ che $\mu$ assuma valori finiti per le funzioni semplici). \begin{theorem}[di convergenza dominata] Sia $(X_i)_{i \in \NN}$ una successione di v.a.~reali e sia $X$ una v.a. reale tale per cui - $X_i \to X$ q.c. (cioè $X_i(\omega) \to X(\omega)$ per $P$-quasi ovunque). Se esiste una + $X_i \to X$ q.c. (cioè $X_i(\omega) \to X(\omega)$ $P$-quasi ovunque). Se esiste una v.a.~integrabile $Y \geq 0$ con $\abs{X_i} \leq Y$ q.c. per ogni $i \in \NN$. Allora $X_n$ e $X$ sono integrabili e $\EE[X_i] \to \EE[X]$. \smallskip