diff --git a/Secondo anno/Elementi di probabilità e statistica/main.pdf b/Secondo anno/Elementi di probabilità e statistica/main.pdf index c42d22a..21ca0d2 100644 --- a/Secondo anno/Elementi di probabilità e statistica/main.pdf +++ b/Secondo anno/Elementi di probabilità e statistica/main.pdf @@ -7,1273 +7,1360 @@ endobj (\376\377\000N\000o\000t\000a\000z\000i\000o\000n\000i\000\040\000i\000m\000p\000i\000e\000g\000a\000t\000e) endobj 8 0 obj -<< /S /GoTo /D (chapter*.8) >> +<< /S /GoTo /D (section*.3) >> endobj 11 0 obj -(\376\377\000P\000r\000e\000r\000e\000q\000u\000i\000s\000i\000t\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000i) +(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 12 0 obj -<< /S /GoTo /D (section*.9) >> +<< /S /GoTo /D (section*.4) >> endobj 15 0 obj -(\376\377\000A\000l\000g\000e\000b\000r\000a\000\040\000l\000i\000n\000e\000a\000r\000e) +(\376\377\000A\000n\000a\000l\000i\000s\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000a) endobj 16 0 obj -<< /S /GoTo /D (section*.10) >> +<< /S /GoTo /D (section*.5) >> endobj 19 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\000C\000o\000m\000b\000i\000n\000a\000t\000o\000r\000i\000a) endobj 20 0 obj -<< /S /GoTo /D (section*.11) >> +<< /S /GoTo /D (section*.6) >> endobj 23 0 obj -(\376\377\000C\000o\000m\000b\000i\000n\000a\000t\000o\000r\000i\000a) +(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000i\000n\000s\000i\000e\000m\000i\000a) endobj 24 0 obj -<< /S /GoTo /D (section*.12) >> +<< /S /GoTo /D (section*.7) >> endobj 27 0 obj -(\376\377\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000g\000l\000i\000\040\000i\000n\000s\000i\000e\000m\000i) +(\376\377\000T\000o\000p\000o\000l\000o\000g\000i\000a\000\040\000g\000e\000n\000e\000r\000a\000l\000e) endobj 28 0 obj -<< /S /GoTo /D (section*.13) >> +<< /S /GoTo /D (section*.8) >> endobj 31 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\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\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 32 0 obj -<< /S /GoTo /D (chapter*.14) >> +<< /S /GoTo /D (chapter*.9) >> endobj 35 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\000P\000r\000e\000r\000e\000q\000u\000i\000s\000i\000t\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000i) endobj 36 0 obj -<< /S /GoTo /D (chapter.1) >> +<< /S /GoTo /D (section*.10) >> endobj 39 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\000A\000l\000g\000e\000b\000r\000a\000\040\000l\000i\000n\000e\000a\000r\000e) endobj 40 0 obj -<< /S /GoTo /D (section.1.1) >> +<< /S /GoTo /D (section*.11) >> endobj 43 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\000A\000n\000a\000l\000i\000s\000i\000\040\000m\000a\000t\000e\000m\000a\000t\000i\000c\000a) endobj 44 0 obj -<< /S /GoTo /D (subsection.1.1.1) >> +<< /S /GoTo /D (section*.12) >> endobj 47 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\000C\000o\000m\000b\000i\000n\000a\000t\000o\000r\000i\000a) endobj 48 0 obj -<< /S /GoTo /D (subsection.1.1.2) >> +<< /S /GoTo /D (section*.13) >> endobj 51 0 obj -(\376\377\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000\040\000e\000\040\000s\000p\000a\000z\000i\000\040\000m\000i\000s\000u\000r\000a\000b\000i\000l\000i) +(\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 (subsection.1.1.3) >> +<< /S /GoTo /D (section*.14) >> endobj 55 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\000T\000e\000o\000r\000i\000a\000\040\000d\000e\000l\000l\000a\000\040\000m\000i\000s\000u\000r\000a) endobj 56 0 obj -<< /S /GoTo /D (subsection.1.1.4) >> +<< /S /GoTo /D (chapter*.15) >> endobj 59 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\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 60 0 obj -<< /S /GoTo /D (section.1.2) >> +<< /S /GoTo /D (chapter.1) >> endobj 63 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\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 64 0 obj -<< /S /GoTo /D (section.1.3) >> +<< /S /GoTo /D (section.1.1) >> endobj 67 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\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 68 0 obj -<< /S /GoTo /D (subsection.1.3.1) >> +<< /S /GoTo /D (subsection.1.1.1) >> endobj 71 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\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 72 0 obj -<< /S /GoTo /D (subsection.1.3.2) >> +<< /S /GoTo /D (subsection.1.1.2) >> endobj 75 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\003\303\000-\000a\000l\000g\000e\000b\000r\000e\000\040\000e\000\040\000s\000p\000a\000z\000i\000\040\000m\000i\000s\000u\000r\000a\000b\000i\000l\000i) endobj 76 0 obj -<< /S /GoTo /D (subsection.1.3.3) >> +<< /S /GoTo /D (subsection.1.1.3) >> endobj 79 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\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 80 0 obj -<< /S /GoTo /D (section.1.4) >> +<< /S /GoTo /D (subsection.1.1.4) >> endobj 83 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\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 84 0 obj -<< /S /GoTo /D (subsection.1.4.1) >> +<< /S /GoTo /D (section.1.2) >> endobj 87 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\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 88 0 obj -<< /S /GoTo /D (subsection.1.4.2) >> +<< /S /GoTo /D (section.1.3) >> endobj 91 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\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 92 0 obj -<< /S /GoTo /D (subsection.1.4.3) >> +<< /S /GoTo /D (subsection.1.3.1) >> endobj 95 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\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 96 0 obj -<< /S /GoTo /D (section.1.5) >> +<< /S /GoTo /D (subsection.1.3.2) >> endobj 99 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\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 100 0 obj -<< /S /GoTo /D (chapter.2) >> +<< /S /GoTo /D (subsection.1.3.3) >> endobj 103 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\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 104 0 obj -<< /S /GoTo /D (section.2.1) >> +<< /S /GoTo /D (section.1.4) >> endobj 107 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\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 108 0 obj -<< /S /GoTo /D (subsection.2.1.1) >> +<< /S /GoTo /D (subsection.1.4.1) >> endobj 111 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\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 112 0 obj -<< /S /GoTo /D (subsection.2.1.2) >> +<< /S /GoTo /D (subsection.1.4.2) >> endobj 115 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\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 116 0 obj -<< /S /GoTo /D (subsection.2.1.3) >> +<< /S /GoTo /D (subsection.1.4.3) >> endobj 119 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\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 120 0 obj -<< /S /GoTo /D (section.2.2) >> +<< /S /GoTo /D (section.1.5) >> endobj 123 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\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 124 0 obj -<< /S /GoTo /D (subsection.2.2.1) >> +<< /S /GoTo /D (chapter.2) >> endobj 127 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\000P\000r\000o\000b\000a\000b\000i\000l\000i\000t\000\340\000\040\000d\000i\000s\000c\000r\000e\000t\000a) endobj 128 0 obj -<< /S /GoTo /D (subsection.2.2.2) >> +<< /S /GoTo /D (section.2.1) >> endobj 131 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) +(\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 132 0 obj -<< /S /GoTo /D (subsection.2.2.3) >> +<< /S /GoTo /D (subsection.2.1.1) >> endobj 135 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\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 136 0 obj -<< /S /GoTo /D (subsection.2.2.4) >> +<< /S /GoTo /D (subsection.2.1.2) >> endobj 139 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\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 140 0 obj -<< /S /GoTo /D (subsection.2.2.5) >> +<< /S /GoTo /D (subsection.2.1.3) >> endobj 143 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\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 144 0 obj -<< /S /GoTo /D (section.2.3) >> +<< /S /GoTo /D (section.2.2) >> endobj 147 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\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 148 0 obj -<< /S /GoTo /D (subsection.2.3.1) >> +<< /S /GoTo /D (subsection.2.2.1) >> endobj 151 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\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 152 0 obj -<< /S /GoTo /D (subsection.2.3.2) >> +<< /S /GoTo /D (subsection.2.2.2) >> endobj 155 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\000L\000e\000g\000g\000e\000\040\000d\000i\000\040\000u\000n\000a\000\040\000v\000.\000a\000.\000\040\000X) endobj 156 0 obj -<< /S /GoTo /D (subsection.2.3.3) >> +<< /S /GoTo /D (subsection.2.2.3) >> endobj 159 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\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 160 0 obj -<< /S /GoTo /D (subsection.2.3.4) >> +<< /S /GoTo /D (subsection.2.2.4) >> endobj 163 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\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 164 0 obj -<< /S /GoTo /D (subsection.2.3.5) >> +<< /S /GoTo /D (subsection.2.2.5) >> endobj 167 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\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 168 0 obj -<< /S /GoTo /D (section.2.4) >> +<< /S /GoTo /D (section.2.3) >> endobj 171 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\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 172 0 obj -<< /S /GoTo /D (section.2.5) >> +<< /S /GoTo /D (subsection.2.3.1) >> endobj 175 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\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 176 0 obj -<< /S /GoTo /D (subsection.2.5.1) >> +<< /S /GoTo /D (subsection.2.3.2) >> endobj 179 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\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 180 0 obj -<< /S /GoTo /D (subsection.2.5.2) >> +<< /S /GoTo /D (subsection.2.3.3) >> endobj 183 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\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 184 0 obj -<< /S /GoTo /D (subsection.2.5.3) >> +<< /S /GoTo /D (subsection.2.3.4) >> endobj 187 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\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 188 0 obj -<< /S /GoTo /D (section.2.6) >> +<< /S /GoTo /D (subsection.2.3.5) >> endobj 191 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\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 192 0 obj -<< /S /GoTo /D (subsection.2.6.1) >> +<< /S /GoTo /D (section.2.4) >> endobj 195 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\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 196 0 obj -<< /S /GoTo /D (subsection.2.6.2) >> +<< /S /GoTo /D (section.2.5) >> endobj 199 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\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 200 0 obj -<< /S /GoTo /D (section.2.7) >> +<< /S /GoTo /D (subsection.2.5.1) >> endobj 203 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\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 204 0 obj -<< /S /GoTo /D (subsection.2.7.1) >> +<< /S /GoTo /D (subsection.2.5.2) >> endobj 207 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\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 208 0 obj -<< /S /GoTo /D (subsection.2.7.2) >> +<< /S /GoTo /D (subsection.2.5.3) >> endobj 211 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\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 212 0 obj -<< /S /GoTo /D (section.2.8) >> +<< /S /GoTo /D (section.2.6) >> endobj 215 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\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 216 0 obj -<< /S /GoTo /D (subsection.2.8.1) >> +<< /S /GoTo /D (subsection.2.6.1) >> endobj 219 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\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 220 0 obj -<< /S /GoTo /D (subsection.2.8.2) >> +<< /S /GoTo /D (subsection.2.6.2) >> endobj 223 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\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 224 0 obj -<< /S /GoTo /D (chapter.3) >> +<< /S /GoTo /D (section.2.7) >> endobj 227 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\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 228 0 obj -<< /S /GoTo /D (section.3.1) >> +<< /S /GoTo /D (subsection.2.7.1) >> endobj 231 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\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 232 0 obj -<< /S /GoTo /D (subsection.3.1.1) >> +<< /S /GoTo /D (subsection.2.7.2) >> endobj 235 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\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 236 0 obj -<< /S /GoTo /D (subsection.3.1.2) >> +<< /S /GoTo /D (section.2.8) >> endobj 239 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\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 240 0 obj -<< /S /GoTo /D (subsection.3.1.3) >> +<< /S /GoTo /D (subsection.2.8.1) >> endobj 243 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\000u\000n\000i\000f\000o\000r\000m\000e) endobj 244 0 obj -<< /S /GoTo /D (section.3.2) >> +<< /S /GoTo /D (subsection.2.8.2) >> endobj 247 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\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 248 0 obj -<< /S /GoTo /D (chapter*.16) >> +<< /S /GoTo /D (chapter.3) >> 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) +endobj +252 0 obj +<< /S /GoTo /D (section.3.1) >> +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) +endobj +256 0 obj +<< /S /GoTo /D (subsection.3.1.1) >> +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) +endobj +260 0 obj +<< /S /GoTo /D (subsection.3.1.2) >> +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) +endobj +264 0 obj +<< /S /GoTo /D (subsection.3.1.3) >> +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) +endobj +268 0 obj +<< /S /GoTo /D (section.3.2) >> +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) +endobj +272 0 obj +<< /S /GoTo /D (chapter*.17) >> +endobj +275 0 obj (\376\377\000T\000a\000b\000e\000l\000l\000a\000\040\000e\000\040\000p\000r\000o\000p\000r\000i\000e\000t\000\340\000\040\000d\000e\000l\000l\000e\000\040\000d\000i\000s\000t\000r\000i\000b\000u\000z\000i\000o\000n\000i\000\040\000d\000i\000s\000c\000r\000e\000t\000e) endobj -252 0 obj -<< /S /GoTo /D (chapter*.17) >> +276 0 obj +<< /S /GoTo /D (chapter*.18) >> endobj -255 0 obj -(\376\377\000T\000a\000b\000e\000l\000l\000a\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.\000\040\003\246\000\050\000x\000\051\000\040\000d\000i\000\040\000u\000n\000a\000\040\000n\000o\000r\000m\000a\000l\000e\000\040\000s\000t\000a\000n\000d\000a\000r\000d) +279 0 obj 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00000 n trailer -<< /Size 880 -/Root 878 0 R -/Info 879 0 R -/ID [<32FE312F6B74D9E6D8053E5615C7C227> <32FE312F6B74D9E6D8053E5615C7C227>] >> +<< /Size 905 +/Root 903 0 R +/Info 904 0 R +/ID [ ] >> startxref -352569 +356859 %%EOF diff --git a/Secondo anno/Elementi di probabilità e statistica/main.tex b/Secondo anno/Elementi di probabilità e statistica/main.tex index e6bc742..ca34a33 100644 --- a/Secondo anno/Elementi di probabilità e statistica/main.tex +++ b/Secondo anno/Elementi di probabilità e statistica/main.tex @@ -12,7 +12,7 @@ \title{\Huge{Schede riassuntive di \\ \textit{Elementi di Probabilità e Statistica}}} \date{A.A. 2023-2024 \\[0.6in] Ultimo aggiornamento: \today \\[1in] \href{https://eps.hearot.it}{\texttt{https://eps.hearot.it}}} -\author{A cura di Gabriel Antonio Videtta\footnote{Basato su un layout di \underline{Luca Lombardo} e di \underline{Francesco Sorce}.} \\ \href{mailto:g.videtta1@studenti.unipi.it}{\texttt{g.videtta1@studenti.unipi.it}} \\[0.3in] Testo basato sul contenuto del corso del prof. Maurelli e del prof. Trevisan.} +\author{A cura di Gabriel Antonio Videtta\footnote{Basato su un layout di \underline{Luca Lombardo} e di \underline{Francesco Sorce}.} \\ \href{mailto:g.videtta1@studenti.unipi.it}{\texttt{g.videtta1@studenti.unipi.it}} \\[0.3in] Testo basato sul contenuto del corso del prof. Maurelli \\ e del prof. Trevisan tenutosi presso l'Università di Pisa.} \begin{document} \maketitle diff --git a/Secondo anno/Elementi di probabilità e statistica/preamble.tex b/Secondo anno/Elementi di probabilità e statistica/preamble.tex index 9fe1e15..1739b82 100644 --- a/Secondo anno/Elementi di probabilità e statistica/preamble.tex +++ b/Secondo anno/Elementi di probabilità e statistica/preamble.tex @@ -73,6 +73,7 @@ \newcommand{\PP}{\mathcal{P}} \newcommand{\NN}{\mathbb{N}} \newcommand{\RR}{\mathbb{R}} +\newcommand{\QQ}{\mathbb{Q}} \newcommand{\pp}{\text{p\hspace{-0.7em}\raisebox{-3.4pt}{--}}\,\,} \newcommand{\pbern}{\pp} 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 a630886..adcff7c 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 @@ -5,6 +5,8 @@ \begin{multicols*}{2} \section*{Algebra lineare} + \addcontentsline{toc}{section}{Teoria della misura} + \begin{itemize} \item $q_\varphi$ -- dato uno spazio vettoriale $V$ equipaggiato con un prodotto scalare $\varphi$, $q_\varphi$ è la forma quadratica associatogli, ovverosia @@ -33,6 +35,8 @@ \end{itemize} \section*{Analisi matematica} + \addcontentsline{toc}{section}{Analisi matematica} + \begin{itemize} \item $f(A_i) \goesup x$ -- la successione $(f(A_i))_{i \in \NN}$ a valori in $\RR$ è crescente al crescere di $i$ e ha come limite $x$. @@ -65,6 +69,8 @@ \end{itemize} \section*{Combinatoria} + \addcontentsline{toc}{section}{Combinatoria} + \begin{itemize} \item $D_{n,k} = \frac{n!}{(n-k)!}$ -- numero di disposizioni ottenute prendendo $k$ elementi tra $n$ oggetti. @@ -78,9 +84,12 @@ \end{itemize} \section*{Teoria degli insiemi} + \addcontentsline{toc}{section}{Teoria degli insiemia} + \begin{itemize} \item $\PP(\Omega)$ -- insieme delle parti di $\Omega$, ossia insieme dei sottoinsiemi di $\Omega$. + \item $\restr{f}{A}$ -- restrizione della funzione al dominio $A$. \item $A \cupdot B$ -- unione disgiunta di $A$ e $B$, ovverosia $A \cup B$ con l'ipotesi che $A \cap B = \emptyset$ (la notazione si estende naturalmente a una famiglia di insiemi a due a due disgiunti). @@ -120,21 +129,37 @@ \item $\groupto$ -- simbolo utilizzato al posto $\to$ quando si elencano più funzioni che condividono o lo stesso dominio o lo stesso codominio (e.g.~$f$, $g : A$, $B \groupto C$ elenca una funzione $f : A \to C$ e una $g : B \to C$; $f$, $g : A \groupto B$, $C$ elenca una funzione $f : A \to B$ e una $g : A \to C$). - + \end{itemize} + + \section*{Topologia generale} + \addcontentsline{toc}{section}{Topologia generale} + + \begin{itemize} + \item $\tau(X)$ -- dato $X$ spazio metrico, insieme degli aperti di $X$, ossia topologia di $X$. + \item spazio separabile -- spazio topologico contenente un denso, ossia un insieme la cui chiusura è tutto lo spazio (e.g.~$\QQ$ per $\RR$). + \item spazio II-numerabile -- spazio topologico che ammette una base numerabile. \end{itemize} \section*{Probabilità e teoria della misura} + \addcontentsline{toc}{section}{Probabilità e teoria della misura} + \begin{itemize} \item $\Omega$ -- spazio campionario, l'insieme di tutti i possibili esiti dell'esperimento aleatorio considerato. \item $\sigma(\tau)$ -- $\sigma$-algebra generata dalla famiglia $\tau \subseteq \PP(\Omega)$. \item $\sigma\{A_1, \ldots, A_n\}$ -- $\sigma$-algebra generata dalla famiglia $\tau = \{A_1, \ldots, A_n\} \subseteq \PP(\Omega)$. + \item $\BB(X)$ -- $\sigma$-algebra dei boreliani, ossia $\sigma$-algebra generata dagli aperti di $X$ spazio metrico separabile. \item $\FF$ -- $\sigma$-algebra relativa a $\Omega$, ossia l'insieme dei possibili eventi. \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 $P$ -- misura di probabilità su uno spazio misurabile. \item $(\Omega, \FF, P)$ -- spazio di probabilità. \item \qc -- quasi certo/quasi certamente. \item $p$ -- per $\Omega$ discreto, funzione di densità discreta. + \item f.d.r.~-- funzione di ripartizione, rispetto a una probabilità reale. + \item $F$, $F_P$ -- per una probabilità reale, funzione di ripartizione. \item \va -- variabile aleatoria. \item $P^X$ -- legge della v.a.~$X$ rispetto a $P$. \item $p_X$ -- densità della legge della v.a.~$X$, rispetto a $P$. 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 e6cac47..96bfaaa 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 @@ -134,10 +134,10 @@ piccola di $\PP(\RR)$, la $\sigma$-algebra dei boreliani, che ci permette di esc Tutte le affermazioni seguono immediatamente dalla prima. \end{proposition} -\begin{definition}[Insiemi $\mu$-trascurabili e proprietà che accadono $\mu$-quasi sempre] +\begin{definition}[Insiemi $\mu$-trascurabili e proprietà che accadono $\mu$-quasi certamente] Un insieme $A \in \FF$ si dice \textbf{$\mu$-trascurabile} se $\mu(A) = 0$. Una proprietà $M$ si dice che accade - $\mu$-quasi sempre ($\mu$-q.a.) se esiste $A \in \FF$ $\mu$-trascurabile per cui + $\mu$-quasi certamente ($\mu$-q.c.) se esiste $A \in \FF$ $\mu$-trascurabile per cui $M$ accade per $A^c$. \end{definition} diff --git a/Secondo anno/Elementi di probabilità e statistica/sections/tabella-phi.tex b/Secondo anno/Elementi di probabilità e statistica/sections/tabella-phi.tex index 4b53406..79732cf 100644 --- a/Secondo anno/Elementi di probabilità e statistica/sections/tabella-phi.tex +++ b/Secondo anno/Elementi di probabilità e statistica/sections/tabella-phi.tex @@ -1,6 +1,6 @@ %-------------------------------------------------------------------- -\chapter*{Tabella e proprietà della f.d.r.~\texorpdfstring{$\Phi(x)$}{Φ(x)} di una normale standard} -\addcontentsline{toc}{chapter}{Tabella e proprietà della f.d.r.~\texorpdfstring{$\Phi(x)$}{Φ(x)} di una normale standard} +\chapter*{Tabella e proprietà della f.d.r.~\texorpdfstring{$\Phi(x)$}{Φ(x)} della normale standard \texorpdfstring{$N(0, 1)$}{N(0, 1)}} +\addcontentsline{toc}{chapter}{Tabella e proprietà della f.d.r.~\texorpdfstring{$\Phi(x)$}{Φ(x)} della normale standard \texorpdfstring{$N(0, 1)$}{N(0, 1)}} Per $a \in \RR$ si definisce la funzione $\Phi(a) = \int_{-\infty}^a e^{-\nicefrac{x^2}{2}} \dx$. L'integrale $\Phi(\infty) \defeq \int_{-\infty}^a e^{-\nicefrac{x^2}{2}} \dx$ vale esattamente $1$, mentre $\Phi(-\infty) \defeq 0$. Per la parità di $e^{-\nicefrac{x^2}{2}}$ vale che $\Phi(a) = 1 - \Phi(-a)$ (\textbf{simmetria}). A partire da questa funzione si può calcolare @@ -16,7 +16,7 @@ $a > 0$, allora $\int_{-a}^a e^{-\nicefrac{x^2}{2}} \dx = \Phi(a) - \Phi(-a) = 2 \endhead -\hline \multicolumn{3}{|r|}{{Continued on next page}} \\ \hline +\hline \multicolumn{3}{|r|}{{Continua nella prossima pagina}} \\ \hline \endfoot \hline