From 1e19f3b9c2a44ac5ff69c1fd0c6e22637b6cdd0a Mon Sep 17 00:00:00 2001 From: Martin Vuk Date: Fri, 9 Jan 2026 06:57:48 +0100 Subject: [PATCH] Premakni poglavje o koliziji. --- git-obzornik.pdf | 6129 +++++++++++++++++++++++----------------------- git-obzornik.typ | 83 +- 2 files changed, 3113 insertions(+), 3099 deletions(-) diff --git a/git-obzornik.pdf b/git-obzornik.pdf index 94ed963..e8c6ef9 100644 --- a/git-obzornik.pdf +++ b/git-obzornik.pdf @@ -5,7 +5,7 @@ << /Type /Pages /Count 10 - /Kids [675 0 R 683 0 R 687 0 R 689 0 R 692 0 R 694 0 R 696 0 R 698 0 R 703 0 R 715 0 R] + /Kids [677 0 R 686 0 R 688 0 R 692 0 R 695 0 R 697 0 R 699 0 R 701 0 R 706 0 R 718 0 R] >> endobj @@ -23,7 +23,7 @@ endobj /Parent 2 0 R /Next 4 0 R /Title (1. Kaj je Git?) - /Dest 633 0 R + /Dest 635 0 R >> endobj @@ -34,38 +34,37 @@ endobj /Prev 3 0 R /First 5 0 R /Last 7 0 R - /Count -2 + /Count -3 /Title - /Dest 637 0 R + /Dest 639 0 R >> endobj 5 0 obj << /Parent 4 0 R - /Next 7 0 R - /First 6 0 R - /Last 6 0 R - /Count -1 + /Next 6 0 R /Title - /Dest 635 0 R + /Dest 636 0 R >> endobj 6 0 obj << - /Parent 5 0 R - /Title (2.1.1. Kolizije zgostitev in rojstnodnevni paradoks) - /Dest 634 0 R + /Parent 4 0 R + /Next 7 0 R + /Prev 5 0 R + /Title + /Dest 637 0 R >> endobj 7 0 obj << /Parent 4 0 R - /Prev 5 0 R - /Title - /Dest 636 0 R + /Prev 6 0 R + /Title (2.3. Kolizije zgostitev in rojstnodnevni paradoks) + /Dest 638 0 R >> endobj @@ -78,7 +77,7 @@ endobj /Last 9 0 R /Count -1 /Title (3. Zgodovinski graf sprememb) - /Dest 639 0 R + /Dest 641 0 R >> endobj @@ -86,7 +85,7 @@ endobj << /Parent 8 0 R /Title (3.1. 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0 R 122 0 R 120 0 R 119 0 R 118 0 R 116 0 R 114 0 R 113 0 R 112 0 R 110 0 R 109 0 R 108 0 R 107 0 R 105 0 R 103 0 R 102 0 R 101 0 R 99 0 R 98 0 R 97 0 R 96 0 R 94 0 R 93 0 R 92 0 R 91 0 R 89 0 R 88 0 R 87 0 R 86 0 R 84 0 R 73 0 R 72 0 R 71 0 R 69 0 R 66 0 R 65 0 R 64 0 R 37 0 R] >> endobj @@ -345,7 +344,7 @@ endobj /S /BibEntry /P 39 0 R /K [27 41 0 R] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -356,14 +355,14 @@ endobj /P 40 0 R /K [28 << /Type /OBJR - /Pg 715 0 R - /Obj 713 0 R + /Pg 718 0 R + /Obj 716 0 R >> 29 << /Type /OBJR - /Pg 715 0 R - /Obj 714 0 R + /Pg 718 0 R + /Obj 717 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -383,10 +382,10 @@ endobj /P 42 0 R /K [26 << /Type /OBJR - /Pg 715 0 R - /Obj 712 0 R + /Pg 718 0 R + /Obj 715 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -414,7 +413,7 @@ endobj /S /BibEntry /P 45 0 R /K [21 48 0 R 23 24 47 0 R] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -425,10 +424,10 @@ endobj /P 46 0 R /K [25 << /Type /OBJR - /Pg 715 0 R - /Obj 711 0 R + /Pg 718 0 R + /Obj 714 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -438,7 +437,7 @@ endobj /S /Em /P 46 0 R /K [22] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -458,10 +457,10 @@ endobj /P 49 0 R /K [20 << /Type /OBJR - /Pg 715 0 R - /Obj 710 0 R + /Pg 718 0 R + /Obj 713 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -489,7 +488,7 @@ endobj /S /BibEntry /P 52 0 R /K [14 55 0 R 16 17 54 0 R 19] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -500,10 +499,10 @@ endobj /P 53 0 R /K [18 << /Type /OBJR - /Pg 715 0 R - /Obj 709 0 R + /Pg 718 0 R + /Obj 712 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -513,7 +512,7 @@ endobj /S /Em /P 53 0 R /K [15] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -533,10 +532,10 @@ endobj /P 56 0 R /K [13 << /Type /OBJR - /Pg 715 0 R - /Obj 708 0 R + /Pg 718 0 R + /Obj 711 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -564,7 +563,7 @@ endobj /S /BibEntry /P 59 0 R /K [9 61 0 R 11 12] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -574,7 +573,7 @@ endobj /S /Em /P 60 0 R /K [10] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -594,10 +593,10 @@ endobj /P 62 0 R /K [8 << /Type /OBJR - /Pg 715 0 R - /Obj 707 0 R + /Pg 718 0 R + /Obj 710 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -608,7 +607,7 @@ endobj /P 36 0 R /T (Literatura) /K [7] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -618,7 +617,7 @@ endobj /S /P /P 36 0 R /K [6] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -628,7 +627,7 @@ endobj /S /P /P 36 0 R /K [0 68 0 R 2 67 0 R 4 5] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -639,10 +638,10 @@ endobj /P 66 0 R /K [3 << /Type /OBJR - /Pg 715 0 R - /Obj 706 0 R + /Pg 718 0 R + /Obj 709 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -653,10 +652,10 @@ endobj /P 66 0 R /K [1 << /Type /OBJR - /Pg 715 0 R - /Obj 705 0 R + /Pg 718 0 R + /Obj 708 0 R >>] - /Pg 715 0 R + /Pg 718 0 R >> endobj @@ -676,10 +675,10 @@ endobj /P 69 0 R /K [45 << /Type /OBJR - /Pg 703 0 R - /Obj 701 0 R + /Pg 706 0 R + /Obj 704 0 R >>] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -689,7 +688,7 @@ endobj /S /P /P 36 0 R /K [43 44] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -700,7 +699,7 @@ endobj /P 36 0 R /T /K [41 42] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -710,7 +709,7 @@ endobj /S /P /P 36 0 R /K [32 33 34 35 83 0 R 37 38 80 0 R 74 0 R 40] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -721,7 +720,7 @@ endobj /P 73 0 R /ID (Note 3) /K [77 0 R 47 76 0 R 49 50 75 0 R 52] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -732,7 +731,7 @@ endobj /P 74 0 R /Lang (en) /K [51] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -743,7 +742,7 @@ endobj /P 74 0 R /Lang (en) /K [48] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -763,8 +762,8 @@ endobj /P 77 0 R /K [<< /Type /OBJR - /Pg 703 0 R - /Obj 702 0 R + /Pg 706 0 R + /Obj 705 0 R >> 79 0 R] >> endobj @@ -780,7 +779,7 @@ endobj /LineHeight 5.61 >>] /K [46] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -800,8 +799,8 @@ endobj /P 80 0 R /K [<< /Type /OBJR - /Pg 703 0 R - /Obj 700 0 R + /Pg 706 0 R + /Obj 703 0 R >> 82 0 R] >> endobj @@ -817,7 +816,7 @@ endobj /LineHeight 6.6 >>] /K [39] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -828,7 +827,7 @@ endobj /P 73 0 R /Lang (en) /K [36] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -852,7 +851,7 @@ endobj /S /P /P 84 0 R /K [31] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -862,7 +861,7 @@ endobj /S /P /P 36 0 R /K [30] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -873,7 +872,7 @@ endobj /P 36 0 R /T (Rebase) /K [28 29] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -883,7 +882,7 @@ endobj /S /P /P 36 0 R /K [25 26 27] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -907,7 +906,7 @@ endobj /S /P /P 89 0 R /K [24] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -917,7 +916,7 @@ endobj /S /P /P 36 0 R /K [23] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -928,7 +927,7 @@ endobj /P 36 0 R /T (Merge) /K [21 22] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -938,7 +937,7 @@ endobj /S /P /P 36 0 R /K [19 20] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -962,7 +961,7 @@ endobj /S /P /P 94 0 R /K [18] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -972,7 +971,7 @@ endobj /S /P /P 36 0 R /K [17] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -983,7 +982,7 @@ endobj /P 36 0 R /T (Reset) /K [15 16] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -993,7 +992,7 @@ endobj /S /P /P 36 0 R /K [12 13 14] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1017,7 +1016,7 @@ endobj /S /P /P 99 0 R /K [11] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1027,7 +1026,7 @@ endobj /S /P /P 36 0 R /K [10] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1038,7 +1037,7 @@ endobj /P 36 0 R /T (Fetch) /K [8 9] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1048,7 +1047,7 @@ endobj /S /P /P 36 0 R /K [4 104 0 R 6 7] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1059,7 +1058,7 @@ endobj /P 103 0 R /Lang (en) /K [5] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1083,7 +1082,7 @@ endobj /S /P /P 105 0 R /K [3] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1093,7 +1092,7 @@ endobj /S /P /P 36 0 R /K [2] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1104,7 +1103,7 @@ endobj /P 36 0 R /T (Push) /K [0 1] - /Pg 703 0 R + /Pg 706 0 R >> endobj @@ -1114,7 +1113,7 @@ endobj /S /P /P 36 0 R /K [50 51 52 53] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1138,7 +1137,7 @@ endobj /S /P /P 110 0 R /K [49] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1148,7 +1147,7 @@ endobj /S /P /P 36 0 R /K [48] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1159,7 +1158,7 @@ endobj /P 36 0 R /T (Pull) /K [46 47] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1169,7 +1168,7 @@ endobj /S /P /P 36 0 R /K [41 115 0 R 43 44 45] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1180,7 +1179,7 @@ endobj /P 114 0 R /Lang (en) /K [42] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1204,7 +1203,7 @@ endobj /S /P /P 116 0 R /K [40] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1214,7 +1213,7 @@ endobj /S /P /P 36 0 R /K [39] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1225,7 +1224,7 @@ endobj /P 36 0 R /T (Add) /K [37 38] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1235,7 +1234,7 @@ endobj /S /P /P 36 0 R /K [32 33 121 0 R 35 36] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1246,7 +1245,7 @@ endobj /P 120 0 R /Lang (en) /K [34] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1270,7 +1269,7 @@ endobj /S /P /P 122 0 R /K [31] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1280,7 +1279,7 @@ endobj /S /P /P 36 0 R /K [30] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1291,7 +1290,7 @@ endobj /P 36 0 R /T (Commit) /K [28 29] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1301,7 +1300,7 @@ endobj /S /P /P 36 0 R /K [21 22 128 0 R 24 25 127 0 R 27] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1311,7 +1310,7 @@ endobj /S /Em /P 126 0 R /K [26] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1322,7 +1321,7 @@ endobj /P 126 0 R /Lang (en) /K [23] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1346,7 +1345,7 @@ endobj /S /P /P 129 0 R /K [20] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1356,7 +1355,7 @@ endobj /S /P /P 36 0 R /K [19] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1367,7 +1366,7 @@ endobj /P 36 0 R /T (Checkout) /K [17 18] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1377,7 +1376,7 @@ endobj /S /P /P 36 0 R /K [13 14 134 0 R 16] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1388,7 +1387,7 @@ endobj /P 133 0 R /Lang (en) /K [15] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1399,7 +1398,7 @@ endobj /P 36 0 R /T (Git ukazi kot operacije na grafu) /K [11 12] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1409,7 +1408,7 @@ endobj /S /P /P 36 0 R /K [6 137 0 R 8 9 10] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1420,7 +1419,7 @@ endobj /P 136 0 R /Lang (en) /K [7] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1430,7 +1429,7 @@ endobj /S /P /P 36 0 R /K [0 1 2 3 4 5] - /Pg 698 0 R + /Pg 701 0 R >> endobj @@ -1462,7 +1461,7 @@ endobj /S /LBody /P 140 0 R /K [143 0 R 85 142 0 R 87 88] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1472,7 +1471,7 @@ endobj /S /Strong /P 141 0 R /K [86] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1482,7 +1481,7 @@ endobj /S /Strong /P 141 0 R /K [84] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1492,7 +1491,7 @@ endobj /S /Lbl /P 140 0 R /K [83] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1511,7 +1510,7 @@ endobj /S /LBody /P 145 0 R /K [149 0 R 76 148 0 R 78 79 147 0 R 81 82] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1522,7 +1521,7 @@ endobj /P 146 0 R /Lang (en) /K [80] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1532,7 +1531,7 @@ endobj /S /Strong /P 146 0 R /K [77] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1542,7 +1541,7 @@ endobj /S /Strong /P 146 0 R /K [75] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1552,7 +1551,7 @@ endobj /S /Lbl /P 145 0 R /K [74] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1562,7 +1561,7 @@ endobj /S /P /P 36 0 R /K [73] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1594,7 +1593,7 @@ endobj /S /LBody /P 153 0 R /K [155 0 R 72] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1604,7 +1603,7 @@ endobj /S /Strong /P 154 0 R /K [71] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1614,7 +1613,7 @@ endobj /S /Lbl /P 153 0 R /K [70] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1633,7 +1632,7 @@ endobj /S /LBody /P 157 0 R /K [160 0 R 65 159 0 R 67 68 69] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1643,7 +1642,7 @@ endobj /S /Strong /P 158 0 R /K [66] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1653,7 +1652,7 @@ endobj /S /Strong /P 158 0 R /K [64] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1663,7 +1662,7 @@ endobj /S /Lbl /P 157 0 R /K [63] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1682,7 +1681,7 @@ endobj /S /LBody /P 162 0 R /K [165 0 R 58 164 0 R 60 61 62] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1692,7 +1691,7 @@ endobj /S /Strong /P 163 0 R /K [59] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1702,7 +1701,7 @@ endobj /S /Strong /P 163 0 R /K [57] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1712,7 +1711,7 @@ endobj /S /Lbl /P 162 0 R /K [56] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1722,7 +1721,7 @@ endobj /S /P /P 36 0 R /K [55] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1754,7 +1753,7 @@ endobj /S /LBody /P 169 0 R /K [172 0 R 51 171 0 R 53 54] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1764,7 +1763,7 @@ endobj /S /Strong /P 170 0 R /K [52] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1774,7 +1773,7 @@ endobj /S /Strong /P 170 0 R /K [50] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1784,7 +1783,7 @@ endobj /S /Lbl /P 169 0 R /K [49] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1803,7 +1802,7 @@ endobj /S /LBody /P 174 0 R /K [177 0 R 45 176 0 R 47 48] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1813,7 +1812,7 @@ endobj /S /Strong /P 175 0 R /K [46] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1823,7 +1822,7 @@ endobj /S /Strong /P 175 0 R /K [44] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1833,7 +1832,7 @@ endobj /S /Lbl /P 174 0 R /K [43] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1843,7 +1842,7 @@ endobj /S /P /P 36 0 R /K [40 41 42] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1854,7 +1853,7 @@ endobj /P 36 0 R /T (Povzetek) /K [38 39] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1886,7 +1885,7 @@ endobj /S /P /P 182 0 R /K [187 0 R 186 0 R 185 0 R 184 0 R 29 30 31] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1897,7 +1896,7 @@ endobj /P 183 0 R /Lang (en) /K [28] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1908,7 +1907,7 @@ endobj /P 183 0 R /Lang (en) /K [27] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1919,7 +1918,7 @@ endobj /P 183 0 R /Lang (en) /K [26] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1930,7 +1929,7 @@ endobj /P 183 0 R /Lang (en) /K [25] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1953,7 +1952,7 @@ endobj /Placement /Block >>] /K [32 34 36 37] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1967,7 +1966,7 @@ endobj /Placement /Block >>] /K [35] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1981,7 +1980,7 @@ endobj /Placement /Block >>] /K [33] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -1991,7 +1990,7 @@ endobj /S /P /P 36 0 R /K [194 0 R 21 193 0 R 23 24] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2001,7 +2000,7 @@ endobj /S /Em /P 192 0 R /K [22] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2011,7 +2010,7 @@ endobj /S /Strong /P 192 0 R /K [20] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2021,7 +2020,7 @@ endobj /S /P /P 36 0 R /K [18 19] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2031,7 +2030,7 @@ endobj /S /P /P 36 0 R /K [0 1 2 3 202 0 R 5 201 0 R 7 200 0 R 9 199 0 R 11 198 0 R 13 14 197 0 R 16 17] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2042,7 +2041,7 @@ endobj /P 196 0 R /Lang (en) /K [15] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2053,7 +2052,7 @@ endobj /P 196 0 R /Lang (en) /K [12] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2064,7 +2063,7 @@ endobj /P 196 0 R /Lang (en) /K [10] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2075,7 +2074,7 @@ endobj /P 196 0 R /Lang (en) /K [8] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2086,7 +2085,7 @@ endobj /P 196 0 R /Lang (en) /K [6] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2097,7 +2096,7 @@ endobj /P 196 0 R /Lang (en) /K [4] - /Pg 696 0 R + /Pg 699 0 R >> endobj @@ -2128,8 +2127,8 @@ endobj /Type /StructElem /S /P /P 204 0 R - /K [61 209 0 R 208 0 R 207 0 R 206 0 R 66 67] - /Pg 694 0 R + /K [67 209 0 R 208 0 R 207 0 R 206 0 R 72 73] + /Pg 697 0 R >> endobj @@ -2139,8 +2138,8 @@ endobj /S /Code /P 205 0 R /Lang (en) - /K [65] - /Pg 694 0 R + /K [71] + /Pg 697 0 R >> endobj @@ -2150,8 +2149,8 @@ endobj /S /Code /P 205 0 R /Lang (en) - /K [64] - /Pg 694 0 R + /K [70] + /Pg 697 0 R >> endobj @@ -2161,8 +2160,8 @@ endobj /S /Code /P 205 0 R /Lang (en) - /K [63] - /Pg 694 0 R + /K [69] + /Pg 697 0 R >> endobj @@ -2172,8 +2171,8 @@ endobj /S /Code /P 205 0 R /Lang (en) - /K [62] - /Pg 694 0 R + /K [68] + /Pg 697 0 R >> endobj @@ -2195,8 +2194,8 @@ endobj /O /Layout /Placement /Block >>] - /K [72 73] - /Pg 694 0 R + /K [78 79] + /Pg 697 0 R >> endobj @@ -2210,8 +2209,8 @@ endobj /O /Layout /Placement /Block >>] - /K [71] - /Pg 694 0 R + /K [77] + /Pg 697 0 R >> endobj @@ -2224,8 +2223,8 @@ endobj /O /Layout /Placement /Block >>] - /K [70] - /Pg 694 0 R + /K [76] + /Pg 697 0 R >> endobj @@ -2239,8 +2238,8 @@ endobj /O /Layout /Placement /Block >>] - /K [69] - /Pg 694 0 R + /K [75] + /Pg 697 0 R >> endobj @@ -2253,8 +2252,8 @@ endobj /O /Layout /Placement /Block >>] - /K [68] - /Pg 694 0 R + /K [74] + /Pg 697 0 R >> endobj @@ -2263,8 +2262,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [218 0 R 58 217 0 R 60] - /Pg 694 0 R + /K [218 0 R 64 217 0 R 66] + /Pg 697 0 R >> endobj @@ -2273,8 +2272,8 @@ endobj /Type /StructElem /S /Strong /P 216 0 R - /K [59] - /Pg 694 0 R + /K [65] + /Pg 697 0 R >> endobj @@ -2283,8 +2282,8 @@ endobj /Type /StructElem /S /Strong /P 216 0 R - /K [57] - /Pg 694 0 R + /K [63] + /Pg 697 0 R >> endobj @@ -2293,8 +2292,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [221 0 R 53 220 0 R 55 56] - /Pg 694 0 R + /K [221 0 R 59 220 0 R 61 62] + /Pg 697 0 R >> endobj @@ -2303,8 +2302,8 @@ endobj /Type /StructElem /S /Strong /P 219 0 R - /K [54] - /Pg 694 0 R + /K [60] + /Pg 697 0 R >> endobj @@ -2313,8 +2312,8 @@ endobj /Type /StructElem /S /Strong /P 219 0 R - /K [52] - /Pg 694 0 R + /K [58] + /Pg 697 0 R >> endobj @@ -2323,8 +2322,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [48 223 0 R 50 51] - /Pg 694 0 R + /K [54 223 0 R 56 57] + /Pg 697 0 R >> endobj @@ -2334,8 +2333,8 @@ endobj /S /Code /P 222 0 R /Lang (en) - /K [49] - /Pg 694 0 R + /K [55] + /Pg 697 0 R >> endobj @@ -2366,8 +2365,8 @@ endobj /Type /StructElem /S /P /P 225 0 R - /K [41 230 0 R 229 0 R 228 0 R 227 0 R 46] - /Pg 694 0 R + /K [47 230 0 R 229 0 R 228 0 R 227 0 R 52] + /Pg 697 0 R >> endobj @@ -2377,8 +2376,8 @@ endobj /S /Code /P 226 0 R /Lang (en) - /K [45] - /Pg 694 0 R + /K [51] + /Pg 697 0 R >> endobj @@ -2388,8 +2387,8 @@ endobj /S /Code /P 226 0 R /Lang (en) - /K [44] - /Pg 694 0 R + /K [50] + /Pg 697 0 R >> endobj @@ -2399,8 +2398,8 @@ endobj /S /Code /P 226 0 R /Lang (en) - /K [43] - /Pg 694 0 R + /K [49] + /Pg 697 0 R >> endobj @@ -2410,8 +2409,8 @@ endobj /S /Code /P 226 0 R /Lang (en) - /K [42] - /Pg 694 0 R + /K [48] + /Pg 697 0 R >> endobj @@ -2433,8 +2432,8 @@ endobj /O /Layout /Placement /Block >>] - /K [47] - /Pg 694 0 R + /K [53] + /Pg 697 0 R >> endobj @@ -2443,8 +2442,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [33 236 0 R 35 235 0 R 37 234 0 R 39 40] - /Pg 694 0 R + /K [39 236 0 R 41 235 0 R 43 234 0 R 45 46] + /Pg 697 0 R >> endobj @@ -2453,8 +2452,8 @@ endobj /Type /StructElem /S /Em /P 233 0 R - /K [38] - /Pg 694 0 R + /K [44] + /Pg 697 0 R >> endobj @@ -2463,8 +2462,8 @@ endobj /Type /StructElem /S /Em /P 233 0 R - /K [36] - /Pg 694 0 R + /K [42] + /Pg 697 0 R >> endobj @@ -2473,8 +2472,8 @@ endobj /Type /StructElem /S /Em /P 233 0 R - /K [34] - /Pg 694 0 R + /K [40] + /Pg 697 0 R >> endobj @@ -2484,8 +2483,8 @@ endobj /S /H1 /P 36 0 R /T - /K [31 32] - /Pg 694 0 R + /K [37 38] + /Pg 697 0 R >> endobj @@ -2516,8 +2515,8 @@ endobj /Type /StructElem /S /P /P 239 0 R - /K [0 1 2 3 4 5 6 7 247 0 R 9 246 0 R 11 245 0 R 13 244 0 R 15 243 0 R 17 242 0 R 19 241 0 R 21] - /Pg 694 0 R + /K [6 7 8 9 10 11 12 13 247 0 R 15 246 0 R 17 245 0 R 19 244 0 R 21 243 0 R 23 242 0 R 25 241 0 R 27] + /Pg 697 0 R >> endobj @@ -2527,8 +2526,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [20] - /Pg 694 0 R + /K [26] + /Pg 697 0 R >> endobj @@ -2538,8 +2537,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [18] - /Pg 694 0 R + /K [24] + /Pg 697 0 R >> endobj @@ -2549,8 +2548,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [16] - /Pg 694 0 R + /K [22] + /Pg 697 0 R >> endobj @@ -2560,8 +2559,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [14] - /Pg 694 0 R + /K [20] + /Pg 697 0 R >> endobj @@ -2571,8 +2570,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [12] - /Pg 694 0 R + /K [18] + /Pg 697 0 R >> endobj @@ -2582,8 +2581,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [10] - /Pg 694 0 R + /K [16] + /Pg 697 0 R >> endobj @@ -2593,8 +2592,8 @@ endobj /S /Code /P 240 0 R /Lang (en) - /K [8] - /Pg 694 0 R + /K [14] + /Pg 697 0 R >> endobj @@ -2616,8 +2615,8 @@ endobj /O /Layout /Placement /Block >>] - /K [30] - /Pg 694 0 R + /K [36] + /Pg 697 0 R >> endobj @@ -2631,8 +2630,8 @@ endobj /O /Layout /Placement /Block >>] - /K [29] - /Pg 694 0 R + /K [35] + /Pg 697 0 R >> endobj @@ -2645,8 +2644,8 @@ endobj /O /Layout /Placement /Block >>] - /K [27 28] - /Pg 694 0 R + /K [33 34] + /Pg 697 0 R >> endobj @@ -2660,8 +2659,8 @@ endobj /O /Layout /Placement /Block >>] - /K [26] - /Pg 694 0 R + /K [32] + /Pg 697 0 R >> endobj @@ -2674,8 +2673,8 @@ endobj /O /Layout /Placement /Block >>] - /K [25] - /Pg 694 0 R + /K [31] + /Pg 697 0 R >> endobj @@ -2689,8 +2688,8 @@ endobj /O /Layout /Placement /Block >>] - /K [24] - /Pg 694 0 R + /K [30] + /Pg 697 0 R >> endobj @@ -2703,8 +2702,8 @@ endobj /O /Layout /Placement /Block >>] - /K [22 23] - /Pg 694 0 R + /K [28 29] + /Pg 697 0 R >> endobj @@ -2713,8 +2712,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [77 258 0 R 79 80 257 0 R 82] - /Pg 692 0 R + /K [0 258 0 R 2 3 257 0 R 5] + /Pg 697 0 R >> endobj @@ -2723,8 +2722,8 @@ endobj /Type /StructElem /S /Em /P 256 0 R - /K [81] - /Pg 692 0 R + /K [4] + /Pg 697 0 R >> endobj @@ -2733,8 +2732,8 @@ endobj /Type /StructElem /S /Em /P 256 0 R - /K [78] - /Pg 692 0 R + /K [1] + /Pg 697 0 R >> endobj @@ -2765,8 +2764,8 @@ endobj /Type /StructElem /S /LBody /P 260 0 R - /K [262 0 R 76] - /Pg 692 0 R + /K [262 0 R 143] + /Pg 695 0 R >> endobj @@ -2776,8 +2775,8 @@ endobj /S /Code /P 261 0 R /Lang (en) - /K [75] - /Pg 692 0 R + /K [142] + /Pg 695 0 R >> endobj @@ -2786,8 +2785,8 @@ endobj /Type /StructElem /S /Lbl /P 260 0 R - /K [74] - /Pg 692 0 R + /K [141] + /Pg 695 0 R >> endobj @@ -2805,8 +2804,8 @@ endobj /Type /StructElem /S /LBody /P 264 0 R - /K [266 0 R 73] - /Pg 692 0 R + /K [266 0 R 140] + /Pg 695 0 R >> endobj @@ -2816,8 +2815,8 @@ endobj /S /Code /P 265 0 R /Lang (en) - /K [72] - /Pg 692 0 R + /K [139] + /Pg 695 0 R >> endobj @@ -2826,8 +2825,8 @@ endobj /Type /StructElem /S /Lbl /P 264 0 R - /K [71] - /Pg 692 0 R + /K [138] + /Pg 695 0 R >> endobj @@ -2845,8 +2844,8 @@ endobj /Type /StructElem /S /LBody /P 268 0 R - /K [270 0 R 70] - /Pg 692 0 R + /K [270 0 R 137] + /Pg 695 0 R >> endobj @@ -2856,8 +2855,8 @@ endobj /S /Code /P 269 0 R /Lang (en) - /K [69] - /Pg 692 0 R + /K [136] + /Pg 695 0 R >> endobj @@ -2866,8 +2865,8 @@ endobj /Type /StructElem /S /Lbl /P 268 0 R - /K [68] - /Pg 692 0 R + /K [135] + /Pg 695 0 R >> endobj @@ -2876,8 +2875,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [65 273 0 R 67] - /Pg 692 0 R + /K [132 273 0 R 134] + /Pg 695 0 R >> endobj @@ -2886,8 +2885,8 @@ endobj /Type /StructElem /S /Em /P 272 0 R - /K [66] - /Pg 692 0 R + /K [133] + /Pg 695 0 R >> endobj @@ -2928,8 +2927,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [63] - /Pg 692 0 R + /K [130] + /Pg 695 0 R >> endobj @@ -2938,8 +2937,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [62] - /Pg 692 0 R + /K [129] + /Pg 695 0 R >> endobj @@ -2948,8 +2947,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [61] - /Pg 692 0 R + /K [128] + /Pg 695 0 R >> endobj @@ -2958,8 +2957,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [60] - /Pg 692 0 R + /K [127] + /Pg 695 0 R >> endobj @@ -2968,8 +2967,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [59] - /Pg 692 0 R + /K [126] + /Pg 695 0 R >> endobj @@ -2978,8 +2977,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [58] - /Pg 692 0 R + /K [125] + /Pg 695 0 R >> endobj @@ -2988,8 +2987,8 @@ endobj /Type /StructElem /S /Code /P 276 0 R - /K [57] - /Pg 692 0 R + /K [124] + /Pg 695 0 R >> endobj @@ -3011,8 +3010,8 @@ endobj /O /Layout /Placement /Block >>] - /K [64] - /Pg 692 0 R + /K [131] + /Pg 695 0 R >> endobj @@ -3021,8 +3020,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [45 46 290 0 R 48 49 289 0 R 51 288 0 R 53 54 287 0 R 56] - /Pg 692 0 R + /K [112 113 290 0 R 115 116 289 0 R 118 288 0 R 120 121 287 0 R 123] + /Pg 695 0 R >> endobj @@ -3031,8 +3030,8 @@ endobj /Type /StructElem /S /Strong /P 286 0 R - /K [55] - /Pg 692 0 R + /K [122] + /Pg 695 0 R >> endobj @@ -3041,8 +3040,8 @@ endobj /Type /StructElem /S /Strong /P 286 0 R - /K [52] - /Pg 692 0 R + /K [119] + /Pg 695 0 R >> endobj @@ -3051,8 +3050,8 @@ endobj /Type /StructElem /S /Strong /P 286 0 R - /K [50] - /Pg 692 0 R + /K [117] + /Pg 695 0 R >> endobj @@ -3061,8 +3060,8 @@ endobj /Type /StructElem /S /Strong /P 286 0 R - /K [47] - /Pg 692 0 R + /K [114] + /Pg 695 0 R >> endobj @@ -3130,8 +3129,8 @@ endobj /Type /StructElem /S /P /P 294 0 R - /K [38] - /Pg 692 0 R + /K [105] + /Pg 695 0 R >> endobj @@ -3149,8 +3148,8 @@ endobj /Type /StructElem /S /P /P 294 0 R - /K [37] - /Pg 692 0 R + /K [104] + /Pg 695 0 R >> endobj @@ -3159,8 +3158,8 @@ endobj /Type /StructElem /S /P /P 294 0 R - /K [36] - /Pg 692 0 R + /K [103] + /Pg 695 0 R >> endobj @@ -3169,8 +3168,8 @@ endobj /Type /StructElem /S /P /P 294 0 R - /K [35] - /Pg 692 0 R + /K [102] + /Pg 695 0 R >> endobj @@ -3179,8 +3178,8 @@ endobj /Type /StructElem /S /P /P 294 0 R - /K [34] - /Pg 692 0 R + /K [101] + /Pg 695 0 R >> endobj @@ -3202,8 +3201,8 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [32 304 0 R] - /Pg 692 0 R + /K [99 304 0 R] + /Pg 695 0 R >> endobj @@ -3213,8 +3212,8 @@ endobj /S /Code /P 303 0 R /Lang (en) - /K [33] - /Pg 692 0 R + /K [100] + /Pg 695 0 R >> endobj @@ -3236,8 +3235,8 @@ endobj /O /Layout /Placement /Block >>] - /K [44] - /Pg 692 0 R + /K [111] + /Pg 695 0 R >> endobj @@ -3251,8 +3250,8 @@ endobj /O /Layout /Placement /Block >>] - /K [43] - /Pg 692 0 R + /K [110] + /Pg 695 0 R >> endobj @@ -3265,8 +3264,8 @@ endobj /O /Layout /Placement /Block >>] - /K [41 42] - /Pg 692 0 R + /K [108 109] + /Pg 695 0 R >> endobj @@ -3280,8 +3279,8 @@ endobj /O /Layout /Placement /Block >>] - /K [40] - /Pg 692 0 R + /K [107] + /Pg 695 0 R >> endobj @@ -3294,8 +3293,8 @@ endobj /O /Layout /Placement /Block >>] - /K [39] - /Pg 692 0 R + /K [106] + /Pg 695 0 R >> endobj @@ -3304,8 +3303,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [19 315 0 R 21 314 0 R 23 24 25 313 0 R 27 28 312 0 R 30 31] - /Pg 692 0 R + /K [86 315 0 R 88 314 0 R 90 91 92 313 0 R 94 95 312 0 R 97 98] + /Pg 695 0 R >> endobj @@ -3314,8 +3313,8 @@ endobj /Type /StructElem /S /Strong /P 311 0 R - /K [29] - /Pg 692 0 R + /K [96] + /Pg 695 0 R >> endobj @@ -3324,8 +3323,8 @@ endobj /Type /StructElem /S /Em /P 311 0 R - /K [26] - /Pg 692 0 R + /K [93] + /Pg 695 0 R >> endobj @@ -3334,8 +3333,8 @@ endobj /Type /StructElem /S /Strong /P 311 0 R - /K [22] - /Pg 692 0 R + /K [89] + /Pg 695 0 R >> endobj @@ -3344,8 +3343,8 @@ endobj /Type /StructElem /S /Strong /P 311 0 R - /K [20] - /Pg 692 0 R + /K [87] + /Pg 695 0 R >> endobj @@ -3355,8 +3354,8 @@ endobj /S /H2 /P 36 0 R /T (Posnetki stanja) - /K [17 18] - /Pg 692 0 R + /K [84 85] + /Pg 695 0 R >> endobj @@ -3365,8 +3364,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [14 15 16] - /Pg 692 0 R + /K [81 82 83] + /Pg 695 0 R >> endobj @@ -3376,8 +3375,8 @@ endobj /S /H1 /P 36 0 R /T (Zgodovinski graf sprememb) - /K [12 13] - /Pg 692 0 R + /K [79 80] + /Pg 695 0 R >> endobj @@ -3386,8 +3385,8 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [9 320 0 R 11] - /Pg 692 0 R + /K [76 320 0 R 78] + /Pg 695 0 R >> endobj @@ -3396,12 +3395,12 @@ endobj /Type /StructElem /S /Link /P 319 0 R - /K [10 << + /K [77 << /Type /OBJR - /Pg 692 0 R - /Obj 691 0 R + /Pg 695 0 R + /Obj 694 0 R >>] - /Pg 692 0 R + /Pg 695 0 R >> endobj @@ -3410,394 +3409,383 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [0 1 323 0 R 3 4 5 6 322 0 R 8] - /Pg 692 0 R + /K [34 329 0 R 43 328 0 R 45 327 0 R 47 48 326 0 R 52 325 0 R 64 65 324 0 R 69 323 0 R 71 322 0 R 75] + /Pg 695 0 R >> endobj 322 0 obj << /Type /StructElem - /S /Code + /S /Formula /P 321 0 R - /Lang (en) - /K [7] - /Pg 692 0 R + /K [72 73 74] + /Pg 695 0 R >> endobj 323 0 obj << /Type /StructElem - /S /Strong + /S /Em /P 321 0 R - /K [2] - /Pg 692 0 R + /K [70] + /Pg 695 0 R >> endobj 324 0 obj << /Type /StructElem - /S /Span - /P 36 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [63 64 65 66] - /Pg 689 0 R + /S /Formula + /P 321 0 R + /K [66 67 68] + /Pg 695 0 R >> endobj 325 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [59 60 61 62] - /Pg 689 0 R + /S /Formula + /P 321 0 R + /K [53 54 55 56 57 58 59 60 61 62 63] + /Pg 695 0 R >> endobj 326 0 obj << /Type /StructElem - /S /Div - /P 36 0 R - /K [337 0 R 327 0 R] + /S /Formula + /P 321 0 R + /K [49 50 51] + /Pg 695 0 R >> endobj 327 0 obj << /Type /StructElem - /S /Div - /P 326 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [328 0 R] + /S /Formula + /P 321 0 R + /K [46] + /Pg 695 0 R >> endobj 328 0 obj << /Type /StructElem - /S /P - /P 327 0 R - /K [336 0 R 335 0 R 334 0 R 333 0 R 332 0 R 50 331 0 R 52 330 0 R 54 329 0 R 56] - /Pg 689 0 R + /S /Formula + /P 321 0 R + /K [44] + /Pg 695 0 R >> endobj 329 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [55] - /Pg 689 0 R + /S /Formula + /P 321 0 R + /K [35 36 37 38 39 40 41 42] + /Pg 695 0 R >> endobj 330 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [53] - /Pg 689 0 R + /S /Formula + /P 36 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33] + /Pg 695 0 R >> endobj 331 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [51] - /Pg 689 0 R + /S /P + /P 36 0 R + /K [233 234 336 0 R 241 335 0 R 249 334 0 R 251 333 0 R 253 254 332 0 R 261] + /Pg 692 0 R >> endobj 332 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [49] - /Pg 689 0 R + /S /Formula + /P 331 0 R + /K [255 256 257 258 259 260] + /Pg 692 0 R >> endobj 333 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [48] - /Pg 689 0 R + /S /Link + /P 331 0 R + /K [252 << + /Type /OBJR + /Pg 692 0 R + /Obj 691 0 R + >>] + /Pg 692 0 R >> endobj 334 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [47] - /Pg 689 0 R + /S /Link + /P 331 0 R + /K [250 << + /Type /OBJR + /Pg 692 0 R + /Obj 690 0 R + >>] + /Pg 692 0 R >> endobj 335 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [46] - /Pg 689 0 R + /S /Formula + /P 331 0 R + /K [242 243 244 245 246 247 248] + /Pg 692 0 R >> endobj 336 0 obj << /Type /StructElem - /S /Code - /P 328 0 R - /Lang (en) - /K [45] - /Pg 689 0 R + /S /Formula + /P 331 0 R + /K [235 236 237 238 239 240] + /Pg 692 0 R >> endobj 337 0 obj << /Type /StructElem - /S /Caption - /P 326 0 R - /K [338 0 R] + /S /P + /P 36 0 R + /K [210 340 0 R 216 339 0 R 225 338 0 R 232] + /Pg 692 0 R >> endobj 338 0 obj << /Type /StructElem - /S /Span + /S /Formula /P 337 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [57 58] - /Pg 689 0 R + /K [226 227 228 229 230 231] + /Pg 692 0 R >> endobj 339 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [33 34 343 0 R 36 342 0 R 38 341 0 R 40 340 0 R 43 44] - /Pg 689 0 R + /S /Formula + /P 337 0 R + /K [217 218 219 220 221 222 223 224] + /Pg 692 0 R >> endobj 340 0 obj << /Type /StructElem - /S /Code - /P 339 0 R - /Lang (en) - /K [41 42] - /Pg 689 0 R + /S /Formula + /P 337 0 R + /K [211 212 213 214 215] + /Pg 692 0 R >> endobj 341 0 obj << /Type /StructElem - /S /Code - /P 339 0 R - /Lang (en) - /K [39] - /Pg 689 0 R + /S /Formula + /P 36 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209] + /Pg 692 0 R >> endobj 342 0 obj << /Type /StructElem - /S /Code - /P 339 0 R - /Lang (en) - /K [37] - /Pg 689 0 R + /S /P + /P 36 0 R + /K [173 343 0 R] + /Pg 692 0 R >> endobj 343 0 obj << /Type /StructElem - /S /Em - /P 339 0 R - /K [35] - /Pg 689 0 R + /S /Formula + /P 342 0 R + /K [174 175 176 177 178 179] + /Pg 692 0 R >> endobj 344 0 obj << /Type /StructElem - /S /L + /S /P /P 36 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [386 0 R 373 0 R 359 0 R 345 0 R] + /K [152 345 0 R 172] + /Pg 692 0 R >> endobj 345 0 obj << /Type /StructElem - /S /LI + /S /Formula /P 344 0 R - /K [358 0 R 346 0 R] + /K [153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171] + /Pg 692 0 R >> endobj 346 0 obj << /Type /StructElem - /S /LBody - /P 345 0 R - /K [357 0 R 347 0 R] + /S /Formula + /P 36 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151] + /Pg 692 0 R >> endobj 347 0 obj << /Type /StructElem - /S /Table - /P 346 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [354 0 R 348 0 R] + /S /P + /P 36 0 R + /K [102] + /Pg 692 0 R >> endobj 348 0 obj << /Type /StructElem - /S /TR - /P 347 0 R - /Lang (en) - /K [349 0 R] + /S /Formula + /P 36 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101] + /Pg 692 0 R >> endobj 349 0 obj << /Type /StructElem - /S /TD - /P 348 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] - /K [350 0 R] + /S /P + /P 36 0 R + /K [22 23 354 0 R 27 28 29 353 0 R 33 34 352 0 R 44 351 0 R 51 350 0 R 58 59] + /Pg 692 0 R >> endobj 350 0 obj << /Type /StructElem - /S /Code + /S /Formula /P 349 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [353 0 R 352 0 R 351 0 R] + /K [52 53 54 55 56 57] + /Pg 692 0 R >> endobj 351 0 obj << /Type /StructElem - /S /P - /P 350 0 R - /K [32] - /Pg 689 0 R + /S /Formula + /P 349 0 R + /K [45 46 47 48 49 50] + /Pg 692 0 R >> endobj 352 0 obj << /Type /StructElem - /S /P - /P 350 0 R - /K [31] - /Pg 689 0 R + /S /Formula + /P 349 0 R + /K [35 36 37 38 39 40 41 42 43] + /Pg 692 0 R >> endobj 353 0 obj << /Type /StructElem - /S /P - /P 350 0 R - /K [30] - /Pg 689 0 R + /S /Formula + /P 349 0 R + /K [30 31 32] + /Pg 692 0 R >> endobj 354 0 obj << /Type /StructElem - /S /TR - /P 347 0 R - /K [355 0 R] + /S /Formula + /P 349 0 R + /K [24 25 26] + /Pg 692 0 R >> endobj 355 0 obj << /Type /StructElem - /S /TD - /P 354 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] - /K [28 356 0 R] - /Pg 689 0 R + /S /P + /P 36 0 R + /K [19 20 21] + /Pg 692 0 R >> endobj 356 0 obj << /Type /StructElem - /S /Code - /P 355 0 R - /Lang (en) - /K [29] - /Pg 689 0 R + /S /H2 + /P 36 0 R + /T (Kolizije zgostitev in rojstnodnevni paradoks) + /K [17 18] + /Pg 692 0 R >> endobj @@ -3805,72 +3793,74 @@ endobj << /Type /StructElem /S /P - /P 346 0 R - /K [27] - /Pg 689 0 R + /P 36 0 R + /K [8 9 359 0 R 11 12 13 14 358 0 R 16] + /Pg 692 0 R >> endobj 358 0 obj << /Type /StructElem - /S /Lbl - /P 345 0 R - /K [26] - /Pg 689 0 R + /S /Code + /P 357 0 R + /Lang (en) + /K [15] + /Pg 692 0 R >> endobj 359 0 obj << /Type /StructElem - /S /LI - /P 344 0 R - /K [372 0 R 360 0 R] + /S /Strong + /P 357 0 R + /K [10] + /Pg 692 0 R >> endobj 360 0 obj << /Type /StructElem - /S /LBody - /P 359 0 R - /K [370 0 R 361 0 R] + /S /Span + /P 36 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [4 5 6 7] + /Pg 692 0 R >> endobj 361 0 obj << /Type /StructElem - /S /Table - /P 360 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [367 0 R 362 0 R] + /S /P + /P 36 0 R + /K [0 1 2 3] + /Pg 692 0 R >> endobj 362 0 obj << /Type /StructElem - /S /TR - /P 361 0 R - /Lang (en) - /K [363 0 R] + /S /Div + /P 36 0 R + /K [373 0 R 363 0 R] >> endobj 363 0 obj << /Type /StructElem - /S /TD + /S /Div /P 362 0 R /A [<< /O /Layout - /BorderStyle /Solid + /Placement /Block >>] /K [364 0 R] >> @@ -3879,55 +3869,54 @@ endobj 364 0 obj << /Type /StructElem - /S /Code + /S /P /P 363 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [366 0 R 365 0 R] + /K [372 0 R 371 0 R 370 0 R 369 0 R 368 0 R 59 367 0 R 61 366 0 R 63 365 0 R 65] + /Pg 688 0 R >> endobj 365 0 obj << /Type /StructElem - /S /P + /S /Code /P 364 0 R - /K [] + /Lang (en) + /K [64] + /Pg 688 0 R >> endobj 366 0 obj << /Type /StructElem - /S /P + /S /Code /P 364 0 R - /K [25] - /Pg 689 0 R + /Lang (en) + /K [62] + /Pg 688 0 R >> endobj 367 0 obj << /Type /StructElem - /S /TR - /P 361 0 R - /K [368 0 R] + /S /Code + /P 364 0 R + /Lang (en) + /K [60] + /Pg 688 0 R >> endobj 368 0 obj << /Type /StructElem - /S /TD - /P 367 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] - /K [23 369 0 R] - /Pg 689 0 R + /S /Code + /P 364 0 R + /Lang (en) + /K [58] + /Pg 688 0 R >> endobj @@ -3935,20 +3924,21 @@ endobj << /Type /StructElem /S /Code - /P 368 0 R + /P 364 0 R /Lang (en) - /K [24] - /Pg 689 0 R + /K [57] + /Pg 688 0 R >> endobj 370 0 obj << /Type /StructElem - /S /P - /P 360 0 R - /K [20 371 0 R 22] - /Pg 689 0 R + /S /Code + /P 364 0 R + /Lang (en) + /K [56] + /Pg 688 0 R >> endobj @@ -3956,75 +3946,76 @@ endobj << /Type /StructElem /S /Code - /P 370 0 R + /P 364 0 R /Lang (en) - /K [21] - /Pg 689 0 R + /K [55] + /Pg 688 0 R >> endobj 372 0 obj << /Type /StructElem - /S /Lbl - /P 359 0 R - /K [19] - /Pg 689 0 R + /S /Code + /P 364 0 R + /Lang (en) + /K [54] + /Pg 688 0 R >> endobj 373 0 obj << /Type /StructElem - /S /LI - /P 344 0 R - /K [385 0 R 374 0 R] + /S /Caption + /P 362 0 R + /K [374 0 R] >> endobj 374 0 obj << /Type /StructElem - /S /LBody + /S /Span /P 373 0 R - /K [383 0 R 375 0 R] + /A [<< + /O /Layout + /Placement /Block + >>] + /K [66 67] + /Pg 688 0 R >> endobj 375 0 obj << /Type /StructElem - /S /Table - /P 374 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [380 0 R 376 0 R] + /S /P + /P 36 0 R + /K [42 43 379 0 R 45 378 0 R 47 377 0 R 49 376 0 R 52 53] + /Pg 688 0 R >> endobj 376 0 obj << /Type /StructElem - /S /TR + /S /Code /P 375 0 R /Lang (en) - /K [377 0 R] + /K [50 51] + /Pg 688 0 R >> endobj 377 0 obj << /Type /StructElem - /S /TD - /P 376 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] - /K [378 0 R] + /S /Code + /P 375 0 R + /Lang (en) + /K [48] + /Pg 688 0 R >> endobj @@ -4032,141 +4023,139 @@ endobj << /Type /StructElem /S /Code - /P 377 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [379 0 R] + /P 375 0 R + /Lang (en) + /K [46] + /Pg 688 0 R >> endobj 379 0 obj << /Type /StructElem - /S /P - /P 378 0 R - /K [18] - /Pg 689 0 R + /S /Em + /P 375 0 R + /K [44] + /Pg 688 0 R >> endobj 380 0 obj << /Type /StructElem - /S /TR - /P 375 0 R - /K [381 0 R] + /S /L + /P 36 0 R + /A [<< + /O /List + /ListNumbering /Circle + >>] + /K [422 0 R 409 0 R 395 0 R 381 0 R] >> endobj 381 0 obj << /Type /StructElem - /S /TD + /S /LI /P 380 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] - /K [16 382 0 R] - /Pg 689 0 R + /K [394 0 R 382 0 R] >> endobj 382 0 obj << /Type /StructElem - /S /Code + /S /LBody /P 381 0 R - /Lang (en) - /K [17] - /Pg 689 0 R + /K [393 0 R 383 0 R] >> endobj 383 0 obj << /Type /StructElem - /S /P - /P 374 0 R - /K [13 384 0 R 15] - /Pg 689 0 R + /S /Table + /P 382 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [390 0 R 384 0 R] >> endobj 384 0 obj << /Type /StructElem - /S /Code + /S /TR /P 383 0 R /Lang (en) - /K [14] - /Pg 689 0 R + /K [385 0 R] >> endobj 385 0 obj << /Type /StructElem - /S /Lbl - /P 373 0 R - /K [12] - /Pg 689 0 R + /S /TD + /P 384 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [386 0 R] >> endobj 386 0 obj << /Type /StructElem - /S /LI - /P 344 0 R - /K [398 0 R 387 0 R] + /S /Code + /P 385 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [389 0 R 388 0 R 387 0 R] >> endobj 387 0 obj << /Type /StructElem - /S /LBody + /S /P /P 386 0 R - /K [396 0 R 388 0 R] + /K [41] + /Pg 688 0 R >> endobj 388 0 obj << /Type /StructElem - /S /Table - /P 387 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [393 0 R 389 0 R] + /S /P + /P 386 0 R + /K [40] + /Pg 688 0 R >> endobj 389 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /Lang (en) - /K [390 0 R] + /S /P + /P 386 0 R + /K [39] + /Pg 688 0 R >> endobj 390 0 obj << /Type /StructElem - /S /TD - /P 389 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] + /S /TR + /P 383 0 R /K [391 0 R] >> endobj @@ -4174,98 +4163,100 @@ endobj 391 0 obj << /Type /StructElem - /S /Code + /S /TD /P 390 0 R /A [<< /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [392 0 R] + /K [37 392 0 R] + /Pg 688 0 R >> endobj 392 0 obj << /Type /StructElem - /S /P + /S /Code /P 391 0 R - /K [11] - /Pg 689 0 R + /Lang (en) + /K [38] + /Pg 688 0 R >> endobj 393 0 obj << /Type /StructElem - /S /TR - /P 388 0 R - /K [394 0 R] + /S /P + /P 382 0 R + /K [36] + /Pg 688 0 R >> endobj 394 0 obj << /Type /StructElem - /S /TD - /P 393 0 R - /A [<< - /O /Layout - /BorderStyle /Solid - >>] - /K [9 395 0 R] - /Pg 689 0 R + /S /Lbl + /P 381 0 R + /K [35] + /Pg 688 0 R >> endobj 395 0 obj << /Type /StructElem - /S /Code - /P 394 0 R - /Lang (en) - /K [10] - /Pg 689 0 R + /S /LI + /P 380 0 R + /K [408 0 R 396 0 R] >> endobj 396 0 obj << /Type /StructElem - /S /P - /P 387 0 R - /K [6 397 0 R 8] - /Pg 689 0 R + /S /LBody + /P 395 0 R + /K [406 0 R 397 0 R] >> endobj 397 0 obj << /Type /StructElem - /S /Code + /S /Table /P 396 0 R - /Lang (en) - /K [7] - /Pg 689 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [403 0 R 398 0 R] >> endobj 398 0 obj << /Type /StructElem - /S /Lbl - /P 386 0 R - /K [5] - /Pg 689 0 R + /S /TR + /P 397 0 R + /Lang (en) + /K [399 0 R] >> endobj 399 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [4] - /Pg 689 0 R + /S /TD + /P 398 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [400 0 R] >> endobj @@ -4273,13 +4264,12 @@ endobj << /Type /StructElem /S /Code - /P 36 0 R - /Lang (en) + /P 399 0 R /A [<< /O /Layout /Placement /Block >>] - /K [406 0 R 405 0 R 404 0 R 403 0 R 402 0 R 401 0 R] + /K [402 0 R 401 0 R] >> endobj @@ -4297,38 +4287,42 @@ endobj /Type /StructElem /S /P /P 400 0 R - /K [3] - /Pg 689 0 R + /K [34] + /Pg 688 0 R >> endobj 403 0 obj << /Type /StructElem - /S /P - /P 400 0 R - /K [2] - /Pg 689 0 R + /S /TR + /P 397 0 R + /K [404 0 R] >> endobj 404 0 obj << /Type /StructElem - /S /P - /P 400 0 R - /K [1] - /Pg 689 0 R + /S /TD + /P 403 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [32 405 0 R] + /Pg 688 0 R >> endobj 405 0 obj << /Type /StructElem - /S /P - /P 400 0 R - /K [0] - /Pg 689 0 R + /S /Code + /P 404 0 R + /Lang (en) + /K [33] + /Pg 688 0 R >> endobj @@ -4336,335 +4330,349 @@ endobj << /Type /StructElem /S /P - /P 400 0 R - /K [] + /P 396 0 R + /K [29 407 0 R 31] + /Pg 688 0 R >> endobj 407 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [323] - /Pg 687 0 R + /S /Code + /P 406 0 R + /Lang (en) + /K [30] + /Pg 688 0 R >> endobj 408 0 obj << /Type /StructElem - /S /Div - /P 36 0 R - /K [415 0 R 409 0 R] + /S /Lbl + /P 395 0 R + /K [28] + /Pg 688 0 R >> endobj 409 0 obj << /Type /StructElem - /S /Code - /P 408 0 R - /Lang (en) - /A [<< - /O /Layout - /Placement /Block - >>] - /K [414 0 R 413 0 R 412 0 R 411 0 R 410 0 R] + /S /LI + /P 380 0 R + /K [421 0 R 410 0 R] >> endobj 410 0 obj << /Type /StructElem - /S /P + /S /LBody /P 409 0 R - /K [] + /K [419 0 R 411 0 R] >> endobj 411 0 obj << /Type /StructElem - /S /P - /P 409 0 R - /K [321] - /Pg 687 0 R + /S /Table + /P 410 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [416 0 R 412 0 R] >> endobj 412 0 obj << /Type /StructElem - /S /P - /P 409 0 R - /K [320] - /Pg 687 0 R + /S /TR + /P 411 0 R + /Lang (en) + /K [413 0 R] >> endobj 413 0 obj << /Type /StructElem - /S /P - /P 409 0 R - /K [319] - /Pg 687 0 R + /S /TD + /P 412 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [414 0 R] >> endobj 414 0 obj << /Type /StructElem - /S /P - /P 409 0 R - /K [] + /S /Code + /P 413 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [415 0 R] >> endobj 415 0 obj << /Type /StructElem - /S /Caption - /P 408 0 R - /K [416 0 R] + /S /P + /P 414 0 R + /K [27] + /Pg 688 0 R >> endobj 416 0 obj << /Type /StructElem - /S /Span - /P 415 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [322] - /Pg 687 0 R + /S /TR + /P 411 0 R + /K [417 0 R] >> endobj 417 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [300 301 421 0 R 303 420 0 R 305 306 419 0 R 308 418 0 R 313 314 315 316 317 318] - /Pg 687 0 R + /S /TD + /P 416 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [25 418 0 R] + /Pg 688 0 R >> endobj 418 0 obj << /Type /StructElem - /S /Formula + /S /Code /P 417 0 R - /K [309 310 311 312] - /Pg 687 0 R + /Lang (en) + /K [26] + /Pg 688 0 R >> endobj 419 0 obj << /Type /StructElem - /S /Formula - /P 417 0 R - /K [307] - /Pg 687 0 R + /S /P + /P 410 0 R + /K [22 420 0 R 24] + /Pg 688 0 R >> endobj 420 0 obj << /Type /StructElem - /S /Em - /P 417 0 R - /K [304] - /Pg 687 0 R + /S /Code + /P 419 0 R + /Lang (en) + /K [23] + /Pg 688 0 R >> endobj 421 0 obj << /Type /StructElem - /S /Em - /P 417 0 R - /K [302] - /Pg 687 0 R + /S /Lbl + /P 409 0 R + /K [21] + /Pg 688 0 R >> endobj 422 0 obj << /Type /StructElem - /S /H2 - /P 36 0 R - /T - /K [298 299] - /Pg 687 0 R + /S /LI + /P 380 0 R + /K [434 0 R 423 0 R] >> endobj 423 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [256 431 0 R 265 430 0 R 267 429 0 R 269 270 428 0 R 274 427 0 R 286 287 426 0 R 291 425 0 R 293 424 0 R 297] - /Pg 687 0 R + /S /LBody + /P 422 0 R + /K [432 0 R 424 0 R] >> endobj 424 0 obj << /Type /StructElem - /S /Formula + /S /Table /P 423 0 R - /K [294 295 296] - /Pg 687 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [429 0 R 425 0 R] >> endobj 425 0 obj << /Type /StructElem - /S /Em - /P 423 0 R - /K [292] - /Pg 687 0 R + /S /TR + /P 424 0 R + /Lang (en) + /K [426 0 R] >> endobj 426 0 obj << /Type /StructElem - /S /Formula - /P 423 0 R - /K [288 289 290] - /Pg 687 0 R + /S /TD + /P 425 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [427 0 R] >> endobj 427 0 obj << /Type /StructElem - /S /Formula - /P 423 0 R - /K [275 276 277 278 279 280 281 282 283 284 285] - /Pg 687 0 R + /S /Code + /P 426 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [428 0 R] >> endobj 428 0 obj << /Type /StructElem - /S /Formula - /P 423 0 R - /K [271 272 273] - /Pg 687 0 R + /S /P + /P 427 0 R + /K [20] + /Pg 688 0 R >> endobj 429 0 obj << /Type /StructElem - /S /Formula - /P 423 0 R - /K [268] - /Pg 687 0 R + /S /TR + /P 424 0 R + /K [430 0 R] >> endobj 430 0 obj << /Type /StructElem - /S /Formula - /P 423 0 R - /K [266] - /Pg 687 0 R + /S /TD + /P 429 0 R + /A [<< + /O /Layout + /BorderStyle /Solid + >>] + /K [18 431 0 R] + /Pg 688 0 R >> endobj 431 0 obj << /Type /StructElem - /S /Formula - /P 423 0 R - /K [257 258 259 260 261 262 263 264] - /Pg 687 0 R + /S /Code + /P 430 0 R + /Lang (en) + /K [19] + /Pg 688 0 R >> endobj 432 0 obj << /Type /StructElem - /S /Formula - /P 36 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255] - /Pg 687 0 R + /S /P + /P 423 0 R + /K [15 433 0 R 17] + /Pg 688 0 R >> endobj 433 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [199 200 437 0 R 207 208 436 0 R 216 435 0 R 218 219 434 0 R 221] - /Pg 687 0 R + /S /Code + /P 432 0 R + /Lang (en) + /K [16] + /Pg 688 0 R >> endobj 434 0 obj << /Type /StructElem - /S /Link - /P 433 0 R - /K [220 << - /Type /OBJR - /Pg 687 0 R - /Obj 686 0 R - >>] - /Pg 687 0 R + /S /Lbl + /P 422 0 R + /K [14] + /Pg 688 0 R >> endobj 435 0 obj << /Type /StructElem - /S /Link - /P 433 0 R - /K [217 << - /Type /OBJR - /Pg 687 0 R - /Obj 685 0 R - >>] - /Pg 687 0 R + /S /P + /P 36 0 R + /K [13] + /Pg 688 0 R >> endobj 436 0 obj << /Type /StructElem - /S /Formula - /P 433 0 R - /K [209 210 211 212 213 214 215] - /Pg 687 0 R + /S /Code + /P 36 0 R + /Lang (en) + /A [<< + /O /Layout + /Placement /Block + >>] + /K [442 0 R 441 0 R 440 0 R 439 0 R 438 0 R 437 0 R] >> endobj 437 0 obj << /Type /StructElem - /S /Formula - /P 433 0 R - /K [201 202 203 204 205 206] - /Pg 687 0 R + /S /P + /P 436 0 R + /K [] >> endobj @@ -4672,53 +4680,48 @@ endobj << /Type /StructElem /S /P - /P 36 0 R - /K [176 441 0 R 182 440 0 R 191 439 0 R 198] - /Pg 687 0 R + /P 436 0 R + /K [12] + /Pg 688 0 R >> endobj 439 0 obj << /Type /StructElem - /S /Formula - /P 438 0 R - /K [192 193 194 195 196 197] - /Pg 687 0 R + /S /P + /P 436 0 R + /K [11] + /Pg 688 0 R >> endobj 440 0 obj << /Type /StructElem - /S /Formula - /P 438 0 R - /K [183 184 185 186 187 188 189 190] - /Pg 687 0 R + /S /P + /P 436 0 R + /K [10] + /Pg 688 0 R >> endobj 441 0 obj << /Type /StructElem - /S /Formula - /P 438 0 R - /K [177 178 179 180 181] - /Pg 687 0 R + /S /P + /P 436 0 R + /K [9] + /Pg 688 0 R >> endobj 442 0 obj << /Type /StructElem - /S /Formula - /P 36 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175] - /Pg 687 0 R + /S /P + /P 436 0 R + /K [] >> endobj @@ -4727,52 +4730,50 @@ endobj /Type /StructElem /S /P /P 36 0 R - /K [139 444 0 R] - /Pg 687 0 R + /K [8] + /Pg 688 0 R >> endobj 444 0 obj << /Type /StructElem - /S /Formula - /P 443 0 R - /K [140 141 142 143 144 145] - /Pg 687 0 R + /S /Div + /P 36 0 R + /K [451 0 R 445 0 R] >> endobj 445 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [118 446 0 R 138] - /Pg 687 0 R + /S /Code + /P 444 0 R + /Lang (en) + /A [<< + /O /Layout + /Placement /Block + >>] + /K [450 0 R 449 0 R 448 0 R 447 0 R 446 0 R] >> endobj 446 0 obj << /Type /StructElem - /S /Formula + /S /P /P 445 0 R - /K [119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137] - /Pg 687 0 R + /K [] >> endobj 447 0 obj << /Type /StructElem - /S /Formula - /P 36 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117] - /Pg 687 0 R + /S /P + /P 445 0 R + /K [6] + /Pg 688 0 R >> endobj @@ -4780,23 +4781,19 @@ endobj << /Type /StructElem /S /P - /P 36 0 R - /K [68] - /Pg 687 0 R + /P 445 0 R + /K [5] + /Pg 688 0 R >> endobj 449 0 obj << /Type /StructElem - /S /Formula - /P 36 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67] - /Pg 687 0 R + /S /P + /P 445 0 R + /K [4] + /Pg 688 0 R >> endobj @@ -4804,59 +4801,57 @@ endobj << /Type /StructElem /S /P - /P 36 0 R - /K [148 149 455 0 R 153 154 155 454 0 R 159 << - /Type /MCR - /MCID 0 - /Pg 687 0 R - >> 453 0 R << - /Type /MCR - /MCID 10 - /Pg 687 0 R - >> 452 0 R << - /Type /MCR - /MCID 17 - /Pg 687 0 R - >> 451 0 R << - /Type /MCR - /MCID 24 - /Pg 687 0 R - >> << - /Type /MCR - /MCID 25 - /Pg 687 0 R - >>] - /Pg 683 0 R + /P 445 0 R + /K [] >> endobj 451 0 obj << /Type /StructElem - /S /Formula - /P 450 0 R - /K [18 19 20 21 22 23] - /Pg 687 0 R + /S /Caption + /P 444 0 R + /K [452 0 R] >> endobj 452 0 obj << /Type /StructElem - /S /Formula - /P 450 0 R - /K [11 12 13 14 15 16] - /Pg 687 0 R + /S /Span + /P 451 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [7] + /Pg 688 0 R >> endobj 453 0 obj << /Type /StructElem - /S /Formula - /P 450 0 R - /K [1 2 3 4 5 6 7 8 9] - /Pg 687 0 R + /S /P + /P 36 0 R + /K [151 152 457 0 R 154 456 0 R 156 157 455 0 R 159 454 0 R 164 165 << + /Type /MCR + /MCID 0 + /Pg 688 0 R + >> << + /Type /MCR + /MCID 1 + /Pg 688 0 R + >> << + /Type /MCR + /MCID 2 + /Pg 688 0 R + >> << + /Type /MCR + /MCID 3 + /Pg 688 0 R + >>] + /Pg 686 0 R >> endobj @@ -4864,9 +4859,9 @@ endobj << /Type /StructElem /S /Formula - /P 450 0 R - /K [156 157 158] - /Pg 683 0 R + /P 453 0 R + /K [160 161 162 163] + /Pg 686 0 R >> endobj @@ -4874,59 +4869,64 @@ endobj << /Type /StructElem /S /Formula - /P 450 0 R - /K [150 151 152] - /Pg 683 0 R + /P 453 0 R + /K [158] + /Pg 686 0 R >> endobj 456 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [128 129 461 0 R 131 132 133 134 460 0 R 136 137 459 0 R 139 458 0 R 141 142 457 0 R 147] - /Pg 683 0 R + /S /Em + /P 453 0 R + /K [155] + /Pg 686 0 R >> endobj 457 0 obj << /Type /StructElem - /S /Formula - /P 456 0 R - /K [143 144 145 146] - /Pg 683 0 R + /S /Em + /P 453 0 R + /K [153] + /Pg 686 0 R >> endobj 458 0 obj << /Type /StructElem - /S /Formula - /P 456 0 R - /K [140] - /Pg 683 0 R + /S /H2 + /P 36 0 R + /T + /K [149 150] + /Pg 686 0 R >> endobj 459 0 obj << /Type /StructElem - /S /Formula - /P 456 0 R - /K [138] - /Pg 683 0 R + /S /P + /P 36 0 R + /K [118 480 0 R 120 479 0 R 125 126 478 0 R 131 477 0 R 474 0 R 463 0 R 134 462 0 R 136 137 461 0 R 142 460 0 R 144 145 146 147 148] + /Pg 686 0 R >> endobj 460 0 obj << /Type /StructElem - /S /Formula - /P 456 0 R - /K [135] - /Pg 683 0 R + /S /Link + /P 459 0 R + /K [143 << + /Type /OBJR + /Pg 686 0 R + /Obj 682 0 R + >>] + /Pg 686 0 R >> endobj @@ -4934,54 +4934,52 @@ endobj << /Type /StructElem /S /Formula - /P 456 0 R - /K [130] - /Pg 683 0 R + /P 459 0 R + /K [138 139 140 141] + /Pg 686 0 R >> endobj 462 0 obj << /Type /StructElem - /S /H3 - /P 36 0 R - /T (Kolizije zgostitev in rojstnodnevni paradoks) - /K [126 127] - /Pg 683 0 R + /S /Formula + /P 459 0 R + /K [135] + /Pg 686 0 R >> endobj 463 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [95 484 0 R 97 483 0 R 102 103 482 0 R 108 481 0 R 478 0 R 467 0 R 111 466 0 R 113 114 465 0 R 119 464 0 R 121 122 123 124 125] - /Pg 683 0 R + /S /Note + /P 459 0 R + /ID (Note 2) + /K [471 0 R 180 470 0 R 189 469 0 R 194 468 0 R 205 467 0 R 210 211 466 0 R 216 465 0 R 218 219 464 0 R] + /Pg 686 0 R >> endobj 464 0 obj << /Type /StructElem - /S /Link + /S /Code /P 463 0 R - /K [120 << - /Type /OBJR - /Pg 683 0 R - /Obj 679 0 R - >>] - /Pg 683 0 R + /Lang (en) + /K [220] + /Pg 686 0 R >> endobj 465 0 obj << /Type /StructElem - /S /Formula + /S /Code /P 463 0 R - /K [115 116 117 118] - /Pg 683 0 R + /Lang (en) + /K [217] + /Pg 686 0 R >> endobj @@ -4990,41 +4988,38 @@ endobj /Type /StructElem /S /Formula /P 463 0 R - /K [112] - /Pg 683 0 R + /K [212 213 214 215] + /Pg 686 0 R >> endobj 467 0 obj << /Type /StructElem - /S /Note + /S /Formula /P 463 0 R - /ID (Note 2) - /K [475 0 R 173 474 0 R 182 473 0 R 187 472 0 R 198 471 0 R 203 204 470 0 R 209 469 0 R 211 212 468 0 R] - /Pg 683 0 R + /K [206 207 208 209] + /Pg 686 0 R >> endobj 468 0 obj << /Type /StructElem - /S /Code - /P 467 0 R - /Lang (en) - /K [213] - /Pg 683 0 R + /S /Formula + /P 463 0 R + /K [195 196 197 198 199 200 201 202 203 204] + /Pg 686 0 R >> endobj 469 0 obj << /Type /StructElem - /S /Code - /P 467 0 R - /Lang (en) - /K [210] - /Pg 683 0 R + /S /Formula + /P 463 0 R + /K [190 191 192 193] + /Pg 686 0 R >> endobj @@ -5032,324 +5027,328 @@ endobj << /Type /StructElem /S /Formula - /P 467 0 R - /K [205 206 207 208] - /Pg 683 0 R + /P 463 0 R + /K [181 182 183 184 185 186 187 188] + /Pg 686 0 R >> endobj 471 0 obj << /Type /StructElem - /S /Formula - /P 467 0 R - /K [199 200 201 202] - /Pg 683 0 R + /S /Lbl + /P 463 0 R + /K [472 0 R] >> endobj 472 0 obj << /Type /StructElem - /S /Formula - /P 467 0 R - /K [188 189 190 191 192 193 194 195 196 197] - /Pg 683 0 R + /S /Link + /P 471 0 R + /K [<< + /Type /OBJR + /Pg 686 0 R + /Obj 685 0 R + >> 473 0 R] >> endobj 473 0 obj << /Type /StructElem - /S /Formula - /P 467 0 R - /K [183 184 185 186] - /Pg 683 0 R + /S /Span + /P 472 0 R + /A [<< + /O /Layout + /BaselineShift 3.2725 + /LineHeight 5.61 + >>] + /K [179] + /Pg 686 0 R >> endobj 474 0 obj << /Type /StructElem - /S /Formula - /P 467 0 R - /K [174 175 176 177 178 179 180 181] - /Pg 683 0 R + /S /Lbl + /P 459 0 R + /K [475 0 R] >> endobj 475 0 obj << /Type /StructElem - /S /Lbl - /P 467 0 R - /K [476 0 R] + /S /Link + /P 474 0 R + /K [<< + /Type /OBJR + /Pg 686 0 R + /Obj 681 0 R + >> 476 0 R] >> endobj 476 0 obj << /Type /StructElem - /S /Link + /S /Span /P 475 0 R - /K [<< - /Type /OBJR - /Pg 683 0 R - /Obj 682 0 R - >> 477 0 R] + /A [<< + /O /Layout + /BaselineShift 3.85 + /LineHeight 6.6 + >>] + /K [133] + /Pg 686 0 R >> endobj 477 0 obj << /Type /StructElem - /S /Span - /P 476 0 R - /A [<< - /O /Layout - /BaselineShift 3.2725 - /LineHeight 5.61 - >>] - /K [172] - /Pg 683 0 R + /S /Code + /P 459 0 R + /Lang (en) + /K [132] + /Pg 686 0 R >> endobj 478 0 obj << /Type /StructElem - /S /Lbl - /P 463 0 R - /K [479 0 R] + /S /Formula + /P 459 0 R + /K [127 128 129 130] + /Pg 686 0 R >> endobj 479 0 obj << /Type /StructElem - /S /Link - /P 478 0 R - /K [<< - /Type /OBJR - /Pg 683 0 R - /Obj 678 0 R - >> 480 0 R] + /S /Formula + /P 459 0 R + /K [121 122 123 124] + /Pg 686 0 R >> endobj 480 0 obj << /Type /StructElem - /S /Span - /P 479 0 R - /A [<< - /O /Layout - /BaselineShift 3.85 - /LineHeight 6.6 - >>] - /K [110] - /Pg 683 0 R + /S /Formula + /P 459 0 R + /K [119] + /Pg 686 0 R >> endobj 481 0 obj << /Type /StructElem - /S /Code - /P 463 0 R - /Lang (en) - /K [109] - /Pg 683 0 R + /S /P + /P 36 0 R + /K [108 494 0 R 112 493 0 R 114 115 490 0 R 482 0 R 117] + /Pg 686 0 R >> endobj 482 0 obj << /Type /StructElem - /S /Formula - /P 463 0 R - /K [104 105 106 107] - /Pg 683 0 R + /S /Note + /P 481 0 R + /ID (Note 1) + /K [487 0 R 167 168 486 0 R 170 485 0 R 172 484 0 R 174 175 483 0 R 177 178] + /Pg 686 0 R >> endobj 483 0 obj << /Type /StructElem - /S /Formula - /P 463 0 R - /K [98 99 100 101] - /Pg 683 0 R + /S /Em + /P 482 0 R + /K [176] + /Pg 686 0 R >> endobj 484 0 obj << /Type /StructElem - /S /Formula - /P 463 0 R - /K [96] - /Pg 683 0 R + /S /Code + /P 482 0 R + /Lang (en) + /K [173] + /Pg 686 0 R >> endobj 485 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [89 497 0 R 91 92 494 0 R 486 0 R 94] - /Pg 683 0 R + /S /Em + /P 482 0 R + /K [171] + /Pg 686 0 R >> endobj 486 0 obj << /Type /StructElem - /S /Note - /P 485 0 R - /ID (Note 1) - /K [491 0 R 161 162 490 0 R 164 489 0 R 166 488 0 R 168 169 487 0 R 171] - /Pg 683 0 R + /S /Link + /P 482 0 R + /K [169 << + /Type /OBJR + /Pg 686 0 R + /Obj 684 0 R + >>] + /Pg 686 0 R >> endobj 487 0 obj << /Type /StructElem - /S /Em - /P 486 0 R - /K [170] - /Pg 683 0 R + /S /Lbl + /P 482 0 R + /K [488 0 R] >> endobj 488 0 obj << /Type /StructElem - /S /Code - /P 486 0 R - /Lang (en) - /K [167] - /Pg 683 0 R + /S /Link + /P 487 0 R + /K [<< + /Type /OBJR + /Pg 686 0 R + /Obj 683 0 R + >> 489 0 R] >> endobj 489 0 obj << /Type /StructElem - /S /Em - /P 486 0 R - /K [165] - /Pg 683 0 R + /S /Span + /P 488 0 R + /A [<< + /O /Layout + /BaselineShift 3.2725 + /LineHeight 5.61 + >>] + /K [166] + /Pg 686 0 R >> endobj 490 0 obj << /Type /StructElem - /S /Link - /P 486 0 R - /K [163 << - /Type /OBJR - /Pg 683 0 R - /Obj 681 0 R - >>] - /Pg 683 0 R + /S /Lbl + /P 481 0 R + /K [491 0 R] >> endobj 491 0 obj << /Type /StructElem - /S /Lbl - /P 486 0 R - /K [492 0 R] + /S /Link + /P 490 0 R + /K [<< + /Type /OBJR + /Pg 686 0 R + /Obj 680 0 R + >> 492 0 R] >> endobj 492 0 obj << /Type /StructElem - /S /Link + /S /Span /P 491 0 R - /K [<< - /Type /OBJR - /Pg 683 0 R - /Obj 680 0 R - >> 493 0 R] + /A [<< + /O /Layout + /BaselineShift 3.85 + /LineHeight 6.6 + >>] + /K [116] + /Pg 686 0 R >> endobj 493 0 obj << /Type /StructElem - /S /Span - /P 492 0 R - /A [<< - /O /Layout - /BaselineShift 3.2725 - /LineHeight 5.61 - >>] - /K [160] - /Pg 683 0 R + /S /Em + /P 481 0 R + /K [113] + /Pg 686 0 R >> endobj 494 0 obj << /Type /StructElem - /S /Lbl - /P 485 0 R - /K [495 0 R] + /S /Formula + /P 481 0 R + /K [109 110 111] + /Pg 686 0 R >> endobj 495 0 obj << /Type /StructElem - /S /Link - /P 494 0 R - /K [<< - /Type /OBJR - /Pg 683 0 R - /Obj 677 0 R - >> 496 0 R] + /S /P + /P 36 0 R + /K [48 511 0 R 50 510 0 R 52 509 0 R 57 508 0 R 62 507 0 R 64 506 0 R 66 67 505 0 R 69 70 504 0 R 73 74 503 0 R 76 502 0 R 80 81 501 0 R 86 500 0 R 91 92 499 0 R 97 98 498 0 R 100 497 0 R 105 496 0 R 107] + /Pg 686 0 R >> endobj 496 0 obj << /Type /StructElem - /S /Span + /S /Link /P 495 0 R - /A [<< - /O /Layout - /BaselineShift 3.85 - /LineHeight 6.6 + /K [106 << + /Type /OBJR + /Pg 686 0 R + /Obj 679 0 R >>] - /K [93] - /Pg 683 0 R + /Pg 686 0 R >> endobj 497 0 obj << /Type /StructElem - /S /Em - /P 485 0 R - /K [90] - /Pg 683 0 R + /S /Formula + /P 495 0 R + /K [101 102 103 104] + /Pg 686 0 R >> endobj 498 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [48 509 0 R 50 508 0 R 52 507 0 R 57 506 0 R 62 505 0 R 64 504 0 R 66 503 0 R 68 502 0 R 72 73 501 0 R 78 500 0 R 83 499 0 R 88] - /Pg 683 0 R + /S /Formula + /P 495 0 R + /K [99] + /Pg 686 0 R >> endobj @@ -5357,9 +5356,9 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [84 85 86 87] - /Pg 683 0 R + /P 495 0 R + /K [93 94 95 96] + /Pg 686 0 R >> endobj @@ -5367,9 +5366,9 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [79 80 81 82] - /Pg 683 0 R + /P 495 0 R + /K [87 88 89 90] + /Pg 686 0 R >> endobj @@ -5377,9 +5376,9 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [74 75 76 77] - /Pg 683 0 R + /P 495 0 R + /K [82 83 84 85] + /Pg 686 0 R >> endobj @@ -5387,9 +5386,9 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [69 70 71] - /Pg 683 0 R + /P 495 0 R + /K [77 78 79] + /Pg 686 0 R >> endobj @@ -5397,29 +5396,29 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [67] - /Pg 683 0 R + /P 495 0 R + /K [75] + /Pg 686 0 R >> endobj 504 0 obj << /Type /StructElem - /S /Formula - /P 498 0 R - /K [65] - /Pg 683 0 R + /S /Em + /P 495 0 R + /K [71 72] + /Pg 686 0 R >> endobj 505 0 obj << /Type /StructElem - /S /Em - /P 498 0 R - /K [63] - /Pg 683 0 R + /S /Formula + /P 495 0 R + /K [68] + /Pg 686 0 R >> endobj @@ -5427,19 +5426,19 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [58 59 60 61] - /Pg 683 0 R + /P 495 0 R + /K [65] + /Pg 686 0 R >> endobj 507 0 obj << /Type /StructElem - /S /Formula - /P 498 0 R - /K [53 54 55 56] - /Pg 683 0 R + /S /Em + /P 495 0 R + /K [63] + /Pg 686 0 R >> endobj @@ -5447,9 +5446,9 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [51] - /Pg 683 0 R + /P 495 0 R + /K [58 59 60 61] + /Pg 686 0 R >> endobj @@ -5457,13 +5456,33 @@ endobj << /Type /StructElem /S /Formula - /P 498 0 R - /K [49] - /Pg 683 0 R + /P 495 0 R + /K [53 54 55 56] + /Pg 686 0 R >> endobj 510 0 obj +<< + /Type /StructElem + /S /Formula + /P 495 0 R + /K [51] + /Pg 686 0 R +>> +endobj + +511 0 obj +<< + /Type /StructElem + /S /Formula + /P 495 0 R + /K [49] + /Pg 686 0 R +>> +endobj + +512 0 obj << /Type /StructElem /S /Formula @@ -5473,255 +5492,83 @@ endobj /Placement /Block >>] /K [30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47] - /Pg 683 0 R ->> -endobj - -511 0 obj -<< - /Type /StructElem - /S /P - /P 36 0 R - /K [21 22 514 0 R 24 25 513 0 R 27 512 0 R 29] - /Pg 683 0 R ->> -endobj - -512 0 obj -<< - /Type /StructElem - /S /Formula - /P 511 0 R - /K [28] - /Pg 683 0 R + /Pg 686 0 R >> endobj 513 0 obj << /Type /StructElem - /S /Formula - /P 511 0 R - /K [26] - /Pg 683 0 R + /S /P + /P 36 0 R + /K [21 22 516 0 R 24 25 515 0 R 27 514 0 R 29] + /Pg 686 0 R >> endobj 514 0 obj << /Type /StructElem - /S /Em - /P 511 0 R - /K [23] - /Pg 683 0 R + /S /Formula + /P 513 0 R + /K [28] + /Pg 686 0 R >> endobj 515 0 obj << /Type /StructElem - /S /H2 - /P 36 0 R - /T - /K [19 20] - /Pg 683 0 R + /S /Formula + /P 513 0 R + /K [26] + /Pg 686 0 R >> endobj 516 0 obj << /Type /StructElem - /S /P - /P 36 0 R - /K [16 517 0 R 18] - /Pg 683 0 R + /S /Em + /P 513 0 R + /K [23] + /Pg 686 0 R >> endobj 517 0 obj << /Type /StructElem - /S /Code - /P 516 0 R - /Lang (en) - /K [17] - /Pg 683 0 R + /S /H2 + /P 36 0 R + /T + /K [19 20] + /Pg 686 0 R >> endobj 518 0 obj << /Type /StructElem - /S /L + /S /P /P 36 0 R - /A [<< - /O /List - /ListNumbering /Circle - >>] - /K [528 0 R 525 0 R 522 0 R 519 0 R] + /K [16 519 0 R 18] + /Pg 686 0 R >> endobj 519 0 obj << /Type /StructElem - /S /LI + /S /Code /P 518 0 R - /K [521 0 R 520 0 R] + /Lang (en) + /K [17] + /Pg 686 0 R >> endobj 520 0 obj -<< - /Type /StructElem - /S /LBody - /P 519 0 R - /K [15] - /Pg 683 0 R ->> -endobj - -521 0 obj -<< - /Type /StructElem - /S /Lbl - /P 519 0 R - /K [14] - /Pg 683 0 R ->> -endobj - -522 0 obj -<< - /Type /StructElem - /S /LI - /P 518 0 R - /K [524 0 R 523 0 R] ->> -endobj - -523 0 obj -<< - /Type /StructElem - /S /LBody - /P 522 0 R - /K [13] - /Pg 683 0 R ->> -endobj - -524 0 obj -<< - /Type /StructElem - /S /Lbl - /P 522 0 R - /K [12] - /Pg 683 0 R ->> -endobj - -525 0 obj -<< - /Type /StructElem - /S /LI - /P 518 0 R - /K [527 0 R 526 0 R] ->> -endobj - -526 0 obj -<< - /Type /StructElem - /S /LBody - /P 525 0 R - /K [11] - /Pg 683 0 R ->> -endobj - -527 0 obj -<< - /Type /StructElem - /S /Lbl - /P 525 0 R - /K [10] - /Pg 683 0 R ->> -endobj - -528 0 obj -<< - /Type /StructElem - /S /LI - /P 518 0 R - /K [530 0 R 529 0 R] ->> -endobj - -529 0 obj -<< - /Type /StructElem - /S /LBody - /P 528 0 R - /K [9] - /Pg 683 0 R ->> -endobj - -530 0 obj -<< - /Type /StructElem - /S /Lbl - /P 528 0 R - /K [8] - /Pg 683 0 R ->> -endobj - -531 0 obj -<< - /Type /StructElem - /S /P - /P 36 0 R - /K [2 533 0 R 4 5 532 0 R 7] - /Pg 683 0 R ->> -endobj - -532 0 obj -<< - /Type /StructElem - /S /Code - /P 531 0 R 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b/git-obzornik.typ index bbe844e..870c013 100644 --- a/git-obzornik.typ +++ b/git-obzornik.typ @@ -83,52 +83,18 @@ Git za izračun imena uporabi _zgoščevalno funkcijo_. Naj bo $B$ množica vseh $ H: B -> {0, 1, dots, 2^(n)-1}, $ -ki vsakemu besedilu $b$ priredi $n$-bitno vrednost $H(b)$. Vrednosti zgoščevalne funkcije $H(b)$ pravimo _zgostitev_ vsebine $b$. Funkcija $H$, je izbrana tako, da -sprememba enega samega bita v besedilu $b in B$ spremeni vrednost $H(b)$. Poleg mora dobra zgoščevalna funkcija zagotoviti, da je porazdelitev vrednosti $H(b)$ čim bližje enakomerni porazdelitvi. To pomeni, da so vse vrednosti $H(b)$ približno enako verjetne. +ki vsakemu besedilu $b$ priredi $n$-bitno vrednost $H(b)$. Vrednosti zgoščevalne funkcije $H(b)$ pravimo _zgostitev_ vsebine $b$. +Git hrani datoteke pod imeni, ki so enaka zgostitvi vsebine. Kaj pa če imata dve različni vsebini isto zgostitev. Funkcija $H$ ni injektivna, saj je množica nizov, bistveno večja od množice zgostitev. To pomeni, da imata lahko dve različni datoteki enako zgostitev. Če se to zgodi, rečemo, da pride do _kolizije zgostitve_. V primeru kolizije zgostitve bi Git shranil le eno datoteko, za drugo pa bi predpostavil da je že shranjena. Zato je funkcija $H$ izbrana tako, da +sprememba enega samega bita v besedilu $b in B$ spremeni vrednost $H(b)$ in je porazdelitev vrednosti $H(b)$ čim bližje enakomerni porazdelitvi. To pomeni, da so vse vrednosti $H(b)$ približno enako verjetne. Na ta način zmanjšamo verjetnost kolizije. Zato Git lahko predpostavi, da je niz $b$ enolično določen z njegovo zgostitvijo $H(b)$. Več o tem v @sec_kolizije[poglavju]. -Git uporablja zgoščevalno funkcijo _SHA1_. Funkcija SHA1 je posebna implementacija zgoščevalne funkcije, ki se je uporabljala v kriptografiji#footnote[Leta 2017 so raziskovalci +Git uporablja $160$ bitno zgoščevalno funkcijo _SHA1_. Funkcija SHA1 je posebna implementacija zgoščevalne funkcije, ki se je uporabljala v kriptografiji#footnote[Leta 2017 so raziskovalci iz CWI Amsterdam in Google Research našli prvi praktični primer dveh različnih pdf datotek, ki imata isto SHA1 zgostitev#cite(). Opisan napad so poimenovali _SHAttered_. Git je zato z verzijo `v2.13.0` - začel uporabljati verzijo SHA1, ki je odporna proti napadu _SHAttered_. Kljub temu razvijalci Gita načrtujejo, da bodo SHA1 postopoma nadomestili z ]. + začel uporabljati verzijo SHA1, ki je odporna proti napadu _SHAttered_. Kljub temu razvijalci Gita načrtujejo, da bodo SHA1 postopoma nadomestili s SHA-256.]. Ko datoteko z vsebino $b$ zabeležimo v Git repozitorij, Git izračuna zgostitev vsebine $H(b)$ in jo shrani v datoteko z imenom $H(b)$ v `git/objects`#footnote[V resnici Git shrani vsebino v datoteko z imenom $h_3 h_4 dots h_(40)$ v mapi $h_1 h_2$, kjer je $h_1 h_2 h_3 dots h_(40)$ zapis $H(b)$ v 16-tiškem sistemu. Datoteka, katere vsebina ima zgostitev $H(b)$ enako `8dd6d4bdaeff93016bd49474b54a911131759648` bo shranjena v `.git/objects/8d/d6d4bdaeff93016bd49474b54a911131759648`]. Vsebina $b$ je tako vedno dostopna pod imenom, ki je enako njeni zgostitvi $H(b)$. Tako dobimo #link("https://en.wikipedia.org/wiki/Content-addressable_storage")[vsebinsko naslovljivo shrambo objektov], ki je ena od bistvenih značilnosti Gita. Ta način shranjevanja omogoča, da lahko vedno preverimo, če ima shranjenjena vsebina isto zgostitev, kot je njeno ime. Lahko tudi shranimo več različic iste datoteke, saj ima vsaka različica drugačno zgostitev. Zgostitev služi tudi kot kontrola, če je prišlo do kvaritve podatkov, ki so shranjeni v Git repozitoriju. -=== Kolizije zgostitev in rojstnodnevni paradoks - -Git hrani datoteke pod imeni, ki so enaka zgostitvi vsebine. Kaj pa če imata dve različni vsebini isto zgostitev. Funkcija $H$ ni injektivna, saj je množica nizov, bistveno večja od množice zgostitev. To pomeni, da imata lahko dve različni datoteki enako zgostitev. Če bi prišlo do tega, bi Git shranil le eno datoteko, za drugo pa bi predpostavil da je že shranjena. Na srečo je verjetnost, da bi se kaj takega zgodilo izjemno majhna. Kljub temu, da zgoščevalna funkcija $H$ -ni injektivna, je verjetnost, da bi imela dva naključno izbrana podatkovna niza isto zgostitev (vrednost $H$) zelo majhna. Zato Git predpostavi, da je niz $b$ enolično določen z njegovo zgostitvijo $H(b)$. Kako bi ocenili verjetnost, da pride do kolizije zgostitev? - -Koliko datotek bi morali shraniti v Git, da bi z znatno verjetnostjo prišlo do kolizije? Vprašanje je povezano z rojstnodnevnim problemom. Kako velika naj bo skupina ljudi, -da bo vsaj $50%$ verjetnost, da imata dve osebi na isti dan rojstni dan? Velikost skupine je presenetljivo majhna(23), zato rojstnodnevnei problem včasih poimenujemo paradoks. -Vprašanje lahko matematično zastavimo tako. Naključno izberemo $n -Res! Logaritem je konveksna funkcija, zato so vrednosti manjše od vrednosti na tangenti $log(1-k/h) = log(1-x) < x = k/h$. - -Od tod izpeljemo oceno za $p(n, h)$ -$ - p(n, h) > 1 - e^(-(n(n-1))/(2h)) approx 1 - e^(-n^2/(2h)). -$ -Za vrednosti $1 << n << h$ je $1- e^(-n^2/(2h))$ tudi dobra aproksimacija za $p(n, h)$. - -Da bi odgovorili kako odporna je zgoščevalna funkcija na morebitne kolizije, moramo rešiti obratno nalogo: največ koliko števil $n(p, d)$ lahko izberemo, da bosta med izbranimi števili vsaj dve enaki z verjetnostjo manjšo od $p in [0,1]$. Natančen odgovor na to vprašanje ni tako preprost #cite(). Lahko pa uporabimo oceno (@eq_ocena) in čez palec ocenimo: - -$ - -n^2 approx log(1-p) =>\ n(p, h) approx sqrt(2h log(1/(1-p))) approx sqrt(2h). -$ - -Funkcija $sqrt(log(1/(1-p)))$ zelo počasi narašča, ko se $p$ približuje $1$, zato jo lahko zanemarimo. Če je zgoščevalna funkcija $160$ bitna, kot je primer za SHA1, je -$n approx sqrt(2^(160)) approx 2^(80)$. Znatna verjetnost, da pride do kolizije zgostitev, bi se pojavila, ko bi shranili $2^(80)$ različnih datotek v Git. -Raziskovalci, ki so razvili napad _SHAttered_, pa so potrebovali zgolj približno $2^(63)$ primerov, da so prišli do kolizije. - == Datotečna drevesa V vsebinsko naslovljivo shrambo objektov lahko shranimo vsebino datotek in njihovih prejšnjih različic. A kako ohranimo informacijo o imenu datotek in drevesni strukturi mape? Git za to ustvari nov tip objekta _drevo_ (angl. _tree_), ki hrani preprost seznam imen datotek in naslovov na vsebino datotek v mapi. Naslov na vsebino datoteke $b$ je seveda zgostitev vsebine $H(b)$. Seznam imen datotek in zgostitev je preprosta tekstovna datoteka, za katero lahko izračunamo zgostitev. Zgostitev datotečnega drevesa natanko določa tako imena datotek, kot tudi vsebino datotek, ki so vsebovane v mapi. Če se katerakoli datoteka ali ime datoteke v mapi spremeni, se bo spremnila tudi @@ -172,7 +138,7 @@ datotek enaka(npr. `bla.txt` in `mapa/bla.txt`), Git shrani le eno kopijo, ki je #let bla(coord, ..args) = file-object(coord, "bcc138", ..args)[bla] #let blabla(coord, ..args) = file-object(coord, "2ce22b", ..args)[blabla] -#figure(caption: [Primer datotečnega grafa povezanega z zgostitvami. Zaradi preglednosti smo izpisali le prvih 6 znakov zgostitve.], +#figure(caption: [Primer datotečnega grafa povezanega z zgostitvami. Zaradi preglednosti bomo v slikah izpisali le prvih 6 znakov zgostitve.], diagram( { bla((-1, 1), name:) @@ -199,6 +165,41 @@ vsebina objekta določena z njegovo zgostitvijo. To pomeni, da lahko enostavno p ] +== Kolizije zgostitev in rojstnodnevni paradoks + +Git hrani datoteke pod imeni, ki so enaka zgostitvi vsebine. Če imata dve datoteki z različno vsebino +isto zgostitev, Git shrani le eno datoteko in pride do izgubil podatkov. Git se zanaša na to, da je verjetnost za to izjemno majhna. +Kako bi ocenili to verjetnost? + +Koliko datotek bi morali shraniti v Git, da bi z znatno verjetnostjo prišlo do kolizije? Vprašanje je povezano z rojstnodnevnim problemom. Kako velika naj bo skupina ljudi, +da bo vsaj $50%$ verjetnost, da imata dve osebi na isti dan rojstni dan? Velikost skupine je presenetljivo majhna(23), zato rojstnodnevnei problem imenujemo tudi rojstnodnevni paradoks. Vprašanje zastavimo matematično. Naključno izberemo $n +Res! Logaritem je konveksna funkcija, zato so vrednosti manjše od vrednosti na tangenti $log(1-k/h) = log(1-x) < x = k/h$. + +Od tod izpeljemo oceno za $p(n, h)$ +$ + p(n, h) > 1 - e^(-(n(n-1))/(2h)) approx 1 - e^(-n^2/(2h)). +$ +Za vrednosti $1 << n << h$ je $1- e^(-n^2/(2h))$ tudi dobra aproksimacija za $p(n, h)$. + +Da bi odgovorili kako odporna je zgoščevalna funkcija na morebitne kolizije, moramo rešiti obratno nalogo: največ koliko števil $n(p, d)$ lahko izberemo, da bo verjetnost pojava dveh enakih števil manjša od $p in [0,1]$? Natančen odgovor na to vprašanje ni tako preprost #cite(). Lahko pa uporabimo oceno (@eq_ocena) in čez palec ocenimo vrednost $n(p, h)$: + +$ + -n^2 approx log(1-p) =>\ n(p, h) approx sqrt(2h log(1/(1-p))) approx sqrt(2h). +$ + +Funkcija $sqrt(log(1/(1-p)))$ zelo počasi narašča, ko se $p$ približuje $1$, zato jo lahko zanemarimo. Če je zgoščevalna funkcija $160$ bitna, kot na primer SHA1, je +$n approx sqrt(2^(160)) approx 2^(80)$. Znatna verjetnost, da pride do kolizije zgostitev, bi se pojavila, ko bi shranili $2^(80)$ različnih verzij datotek v Git. +Raziskovalci, ki so razvili napad _SHAttered_, so se posebej potrudili in so potrebovali "zgolj" približno $2^(63)$ primerov, da so prišli do kolizije. + Podrobnosti o tem, kako Git hrani podatke, si lahko preberete v knjigi Pro Git #cite(, supplement: [pog. 10.2]). @@ -366,7 +367,6 @@ Vse te pomene damo vejam ljudje, ki sodelujemo v nekem Git repozitoriju. Za Git caption: [*HEAD* je referenca na trenutno aktiven vnos. _Index_ vsebuje spremembe, ki bodo zabeležene v naslednjem vnosu.] ) - == Povzetek Povzemimo sedaj, kaj smo spoznali o podatkovnem modelu Gita. @@ -389,6 +389,7 @@ Omenimo še dva pojma, ki jih uporabljamo pri delu z Gitom: Nekatere operacije pa tudi brišejo vnose (npr. `git rebase`). Takim operacijam rečemo, da spreminjajo zgodovino. Uporabniki morajo biti pri uporabi operacij, ki spreminjajo zgodovino posebej pazljivi, da česa trajno ne zamočijo. ] + = Git ukazi kot operacije na grafu Ko smo opremljeni z razumevanjem podatkovnega modela Gita, razložimo kaj pomenijo posamezne operacije, ki jih Git omogoča. Ukazov ne bom prevajal, ampak jih bom navedel kot jih pozna program `git`.