diff --git a/course2/sem3/labs/lab4.02/report.pdf b/course2/sem3/labs/lab4.02/report.pdf index 95fb501..9590cb9 100644 --- a/course2/sem3/labs/lab4.02/report.pdf +++ b/course2/sem3/labs/lab4.02/report.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 2 - /Kids [148 0 R 150 0 R] + /Count 4 + /Kids [307 0 R 309 0 R 311 0 R 313 0 R] >> endobj @@ -22,10 +22,10 @@ endobj << /Parent 2 0 R /First 4 0 R - /Last 7 0 R - /Count -4 + /Last 8 0 R + /Count -5 /Title - /Dest 147 0 R + /Dest 306 0 R >> endobj @@ -34,7 +34,7 @@ endobj /Parent 3 0 R /Next 5 0 R /Title - /Dest 143 0 R + /Dest 301 0 R >> endobj @@ -44,7 +44,7 @@ endobj /Next 6 0 R /Prev 4 0 R /Title - /Dest 144 0 R + /Dest 302 0 R >> endobj @@ -54,20 +54,30 @@ endobj /Next 7 0 R /Prev 5 0 R /Title - /Dest 145 0 R + /Dest 303 0 R >> endobj 7 0 obj << /Parent 3 0 R + /Next 8 0 R /Prev 6 0 R /Title - /Dest 146 0 R + /Dest 304 0 R >> endobj 8 0 obj +<< + /Parent 3 0 R + /Prev 7 0 R + /Title + /Dest 305 0 R +>> +endobj + +9 0 obj << /Type /StructTreeRoot /RoleMap << @@ -77,91 +87,57 @@ endobj /Strong /Span /Em /Span >> - /K [11 0 R] + /K [14 0 R] /ParentTree << - /Nums [0 9 0 R 1 10 0 R] + /Nums [0 10 0 R 1 11 0 R 2 12 0 R 3 13 0 R] >> - /ParentTreeNextKey 2 + /ParentTreeNextKey 4 >> endobj -9 0 obj -[108 0 R 108 0 R 108 0 R 106 0 R 101 0 R 102 0 R 99 0 R 95 0 R 96 0 R 93 0 R 89 0 R 90 0 R 87 0 R 83 0 R 83 0 R 83 0 R 83 0 R 82 0 R 81 0 R 81 0 R 80 0 R 79 0 R 79 0 R] -endobj - 10 0 obj -[78 0 R 75 0 R 73 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 70 0 R 68 0 R 63 0 R 67 0 R 63 0 R 66 0 R 63 0 R 65 0 R 63 0 R 64 0 R 63 0 R 61 0 R 61 0 R 61 0 R 61 0 R 57 0 R 59 0 R 57 0 R 58 0 R 57 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 51 0 R 53 0 R 51 0 R 52 0 R 51 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 49 0 R 47 0 R 47 0 R 41 0 R 46 0 R 41 0 R 45 0 R 41 0 R 44 0 R 41 0 R 43 0 R 41 0 R 42 0 R 41 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 37 0 R 37 0 R 31 0 R 36 0 R 36 0 R 36 0 R 36 0 R 31 0 R 31 0 R 35 0 R 35 0 R 31 0 R 34 0 R 31 0 R 33 0 R 31 0 R 32 0 R 31 0 R 77 0 R 28 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 25 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 21 0 R 21 0 R 21 0 R 21 0 R 21 0 R 19 0 R 19 0 R 19 0 R 19 0 R 19 0 R 17 0 R 17 0 R 17 0 R 17 0 R 17 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 27 0 R] +[266 0 R 266 0 R 266 0 R 264 0 R 259 0 R 260 0 R 257 0 R 253 0 R 254 0 R 251 0 R 247 0 R 248 0 R 245 0 R 241 0 R 241 0 R 241 0 R 241 0 R 240 0 R 239 0 R 239 0 R 238 0 R 237 0 R 237 0 R] endobj 11 0 obj -<< - /Type /StructElem - /S /Document - /P 8 0 R - /K [103 0 R 84 0 R 83 0 R 82 0 R 81 0 R 80 0 R 79 0 R 78 0 R 29 0 R 28 0 R 12 0 R] ->> +[236 0 R 233 0 R 231 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 228 0 R 226 0 R 221 0 R 225 0 R 221 0 R 224 0 R 221 0 R 223 0 R 221 0 R 222 0 R 221 0 R 219 0 R 219 0 R 219 0 R 219 0 R 215 0 R 217 0 R 215 0 R 216 0 R 215 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 213 0 R 209 0 R 211 0 R 209 0 R 210 0 R 209 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 207 0 R 205 0 R 205 0 R 199 0 R 204 0 R 199 0 R 203 0 R 199 0 R 202 0 R 199 0 R 201 0 R 199 0 R 200 0 R 199 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 197 0 R 195 0 R 195 0 R 189 0 R 194 0 R 194 0 R 194 0 R 194 0 R 189 0 R 189 0 R 193 0 R 193 0 R 189 0 R 192 0 R 189 0 R 191 0 R 189 0 R 190 0 R 189 0 R 235 0 R] endobj 12 0 obj -<< - /Type /StructElem - /S /Table - /P 11 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [26 0 R 13 0 R] ->> +[184 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 181 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 177 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 175 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 173 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 168 0 R 168 0 R 168 0 R 168 0 R 166 0 R 165 0 R 164 0 R 163 0 R 162 0 R 160 0 R 160 0 R 160 0 R 160 0 R 158 0 R 157 0 R 156 0 R 155 0 R 154 0 R 152 0 R 152 0 R 152 0 R 152 0 R 150 0 R 149 0 R 148 0 R 147 0 R 146 0 R 144 0 R 144 0 R 144 0 R 144 0 R 142 0 R 141 0 R 140 0 R 139 0 R 138 0 R 136 0 R 136 0 R 136 0 R 136 0 R 134 0 R 133 0 R 132 0 R 131 0 R 130 0 R 128 0 R 128 0 R 128 0 R 128 0 R 126 0 R 125 0 R 124 0 R 123 0 R 122 0 R 120 0 R 120 0 R 120 0 R 120 0 R 118 0 R 117 0 R 116 0 R 115 0 R 114 0 R 112 0 R 112 0 R 112 0 R 112 0 R 110 0 R 109 0 R 108 0 R 107 0 R 106 0 R 104 0 R 104 0 R 104 0 R 104 0 R 102 0 R 101 0 R 100 0 R 99 0 R 98 0 R 96 0 R 96 0 R 96 0 R 96 0 R 96 0 R 94 0 R 93 0 R 92 0 R 91 0 R 90 0 R 88 0 R 88 0 R 88 0 R 86 0 R 85 0 R 84 0 R 83 0 R 82 0 R 183 0 R 79 0 R 78 0 R 77 0 R 74 0 R 74 0 R 74 0 R 73 0 R 72 0 R 69 0 R 68 0 R 67 0 R 67 0 R 61 0 R 64 0 R 61 0 R 63 0 R 63 0 R 63 0 R 63 0 R 61 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 62 0 R 61 0 R 60 0 R 59 0 R 59 0 R 53 0 R 56 0 R 56 0 R 53 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 55 0 R 53 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 54 0 R 53 0 R 52 0 R 51 0 R 51 0 R 46 0 R 48 0 R 46 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 46 0 R 45 0 R 43 0 R 44 0 R 43 0 R 43 0 R 38 0 R 40 0 R 38 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 39 0 R 38 0 R 37 0 R 36 0 R] endobj 13 0 obj -<< - /Type /StructElem - /S /TR - /P 12 0 R - /K [24 0 R 22 0 R 20 0 R 18 0 R 16 0 R 14 0 R] ->> +[32 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 33 0 R 32 0 R 32 0 R 31 0 R 30 0 R 30 0 R 27 0 R 27 0 R 27 0 R 26 0 R 25 0 R 25 0 R 20 0 R 22 0 R 20 0 R 21 0 R 20 0 R 19 0 R 18 0 R 18 0 R 15 0 R 15 0 R 15 0 R 15 0 R] endobj 14 0 obj << /Type /StructElem - /S /TD - /P 13 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [15 0 R] + /S /Document + /P 9 0 R + /K [261 0 R 242 0 R 241 0 R 240 0 R 239 0 R 238 0 R 237 0 R 236 0 R 185 0 R 184 0 R 80 0 R 79 0 R 75 0 R 74 0 R 70 0 R 69 0 R 65 0 R 61 0 R 57 0 R 53 0 R 49 0 R 46 0 R 41 0 R 38 0 R 34 0 R 32 0 R 28 0 R 27 0 R 23 0 R 20 0 R 16 0 R 15 0 R] >> endobj 15 0 obj << /Type /StructElem - /S /Formula + /S /P /P 14 0 R - /K [132 133 134 135 136] - /Pg 150 0 R + /K [32 33 34 35] + /Pg 313 0 R >> endobj 16 0 obj << /Type /StructElem - /S /TD - /P 13 0 R + /S /L + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid + /O /List + /ListNumbering /Decimal >>] /K [17 0 R] >> @@ -170,52 +146,39 @@ endobj 17 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 16 0 R - /K [127 128 129 130 131] - /Pg 150 0 R + /K [19 0 R 18 0 R] >> endobj 18 0 obj << /Type /StructElem - /S /TD - /P 13 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [19 0 R] + /S /LBody + /P 17 0 R + /K [30 31] + /Pg 313 0 R >> endobj 19 0 obj << /Type /StructElem - /S /Formula - /P 18 0 R - /K [122 123 124 125 126] - /Pg 150 0 R + /S /Lbl + /P 17 0 R + /K [29] + /Pg 313 0 R >> endobj 20 0 obj << /Type /StructElem - /S /TD - /P 13 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [21 0 R] + /S /P + /P 14 0 R + /K [24 22 0 R 26 21 0 R 28] + /Pg 313 0 R >> endobj @@ -224,144 +187,122 @@ endobj /Type /StructElem /S /Formula /P 20 0 R - /K [117 118 119 120 121] - /Pg 150 0 R + /K [27] + /Pg 313 0 R >> endobj 22 0 obj << /Type /StructElem - /S /TD - /P 13 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [23 0 R] + /S /Formula + /P 20 0 R + /K [25] + /Pg 313 0 R >> endobj 23 0 obj << /Type /StructElem - /S /Formula - /P 22 0 R - /K [112 113 114 115 116] - /Pg 150 0 R + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [24 0 R] >> endobj 24 0 obj << /Type /StructElem - /S /TD - /P 13 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [25 0 R] + /S /LI + /P 23 0 R + /K [26 0 R 25 0 R] >> endobj 25 0 obj << /Type /StructElem - /S /Formula + /S /LBody /P 24 0 R - /K [104 105 106 107 108 109 110 111] - /Pg 150 0 R + /K [22 23] + /Pg 313 0 R >> endobj 26 0 obj << /Type /StructElem - /S /Caption - /P 12 0 R - /K [27 0 R] + /S /Lbl + /P 24 0 R + /K [21] + /Pg 313 0 R >> endobj 27 0 obj << /Type /StructElem - /S /Span - /P 26 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [137] - /Pg 150 0 R + /S /P + /P 14 0 R + /K [18 19 20] + /Pg 313 0 R >> endobj 28 0 obj << /Type /StructElem - /S /H3 - /P 11 0 R - /T - /K [103] - /Pg 150 0 R + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [29 0 R] >> endobj 29 0 obj << /Type /StructElem - /S /Table - /P 11 0 R - /A [<< - /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 - >>] - /K [76 0 R 71 0 R 62 0 R 56 0 R 50 0 R 40 0 R 30 0 R] + /S /LI + /P 28 0 R + /K [31 0 R 30 0 R] >> endobj 30 0 obj << /Type /StructElem - /S /TR + /S /LBody /P 29 0 R - /K [38 0 R 31 0 R] + /K [16 17] + /Pg 313 0 R >> endobj 31 0 obj << /Type /StructElem - /S /TD - /P 30 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [37 0 R 86 36 0 R 91 92 35 0 R 95 34 0 R 97 33 0 R 99 32 0 R 101] - /Pg 150 0 R + /S /Lbl + /P 29 0 R + /K [15] + /Pg 313 0 R >> endobj 32 0 obj << /Type /StructElem - /S /Formula - /P 31 0 R - /K [100] - /Pg 150 0 R + /S /P + /P 14 0 R + /K [0 33 0 R 13 14] + /Pg 313 0 R >> endobj @@ -369,65 +310,61 @@ endobj << /Type /StructElem /S /Formula - /P 31 0 R - /K [98] - /Pg 150 0 R + /P 32 0 R + /K [1 2 3 4 5 6 7 8 9 10 11 12] + /Pg 313 0 R >> endobj 34 0 obj << /Type /StructElem - /S /Formula - /P 31 0 R - /K [96] - /Pg 150 0 R + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [35 0 R] >> endobj 35 0 obj << /Type /StructElem - /S /Formula - /P 31 0 R - /K [93 94] - /Pg 150 0 R + /S /LI + /P 34 0 R + /K [37 0 R 36 0 R] >> endobj 36 0 obj << /Type /StructElem - /S /Formula - /P 31 0 R - /K [87 88 89 90] - /Pg 150 0 R + /S /LBody + /P 35 0 R + /K [229] + /Pg 311 0 R >> endobj 37 0 obj << /Type /StructElem - /S /Formula - /P 31 0 R - /K [84 85] - /Pg 150 0 R + /S /Lbl + /P 35 0 R + /K [228] + /Pg 311 0 R >> endobj 38 0 obj << /Type /StructElem - /S /TD - /P 30 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [39 0 R] + /S /P + /P 14 0 R + /K [218 40 0 R 220 39 0 R 227] + /Pg 311 0 R >> endobj @@ -436,54 +373,50 @@ endobj /Type /StructElem /S /Formula /P 38 0 R - /K [70 71 72 73 74 75 76 77 78 79 80 81 82 83] - /Pg 150 0 R + /K [221 222 223 224 225 226] + /Pg 311 0 R >> endobj 40 0 obj << /Type /StructElem - /S /TR - /P 29 0 R - /K [48 0 R 41 0 R] + /S /Formula + /P 38 0 R + /K [219] + /Pg 311 0 R >> endobj 41 0 obj << /Type /StructElem - /S /TD - /P 40 0 R + /S /L + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid + /O /List + /ListNumbering /Decimal >>] - /K [47 0 R 59 46 0 R 61 45 0 R 63 44 0 R 65 43 0 R 67 42 0 R 69] - /Pg 150 0 R + /K [42 0 R] >> endobj 42 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 41 0 R - /K [68] - /Pg 150 0 R + /K [45 0 R 43 0 R] >> endobj 43 0 obj << /Type /StructElem - /S /Formula - /P 41 0 R - /K [66] - /Pg 150 0 R + /S /LBody + /P 42 0 R + /K [214 44 0 R 216 217] + /Pg 311 0 R >> endobj @@ -491,29 +424,29 @@ endobj << /Type /StructElem /S /Formula - /P 41 0 R - /K [64] - /Pg 150 0 R + /P 43 0 R + /K [215] + /Pg 311 0 R >> endobj 45 0 obj << /Type /StructElem - /S /Formula - /P 41 0 R - /K [62] - /Pg 150 0 R + /S /Lbl + /P 42 0 R + /K [213] + /Pg 311 0 R >> endobj 46 0 obj << /Type /StructElem - /S /Formula - /P 41 0 R - /K [60] - /Pg 150 0 R + /S /P + /P 14 0 R + /K [200 48 0 R 202 47 0 R 212] + /Pg 311 0 R >> endobj @@ -521,97 +454,81 @@ endobj << /Type /StructElem /S /Formula - /P 41 0 R - /K [57 58] - /Pg 150 0 R + /P 46 0 R + /K [203 204 205 206 207 208 209 210 211] + /Pg 311 0 R >> endobj 48 0 obj << /Type /StructElem - /S /TD - /P 40 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [49 0 R] + /S /Formula + /P 46 0 R + /K [201] + /Pg 311 0 R >> endobj 49 0 obj << /Type /StructElem - /S /Formula - /P 48 0 R - /K [45 46 47 48 49 50 51 52 53 54 55 56] - /Pg 150 0 R + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [50 0 R] >> endobj 50 0 obj << /Type /StructElem - /S /TR - /P 29 0 R - /K [54 0 R 51 0 R] + /S /LI + /P 49 0 R + /K [52 0 R 51 0 R] >> endobj 51 0 obj << /Type /StructElem - /S /TD + /S /LBody /P 50 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [40 53 0 R 42 52 0 R 44] - /Pg 150 0 R + /K [198 199] + /Pg 311 0 R >> endobj 52 0 obj << /Type /StructElem - /S /Formula - /P 51 0 R - /K [43] - /Pg 150 0 R + /S /Lbl + /P 50 0 R + /K [197] + /Pg 311 0 R >> endobj 53 0 obj << /Type /StructElem - /S /Formula - /P 51 0 R - /K [41] - /Pg 150 0 R + /S /P + /P 14 0 R + /K [175 56 0 R 178 55 0 R 185 54 0 R 196] + /Pg 311 0 R >> endobj 54 0 obj << /Type /StructElem - /S /TD - /P 50 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [55 0 R] + /S /Formula + /P 53 0 R + /K [186 187 188 189 190 191 192 193 194 195] + /Pg 311 0 R >> endobj @@ -619,107 +536,91 @@ endobj << /Type /StructElem /S /Formula - /P 54 0 R - /K [31 32 33 34 35 36 37 38 39] - /Pg 150 0 R + /P 53 0 R + /K [179 180 181 182 183 184] + /Pg 311 0 R >> endobj 56 0 obj << /Type /StructElem - /S /TR - /P 29 0 R - /K [60 0 R 57 0 R] + /S /Formula + /P 53 0 R + /K [176 177] + /Pg 311 0 R >> endobj 57 0 obj << /Type /StructElem - /S /TD - /P 56 0 R + /S /L + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid + /O /List + /ListNumbering /Decimal >>] - /K [26 59 0 R 28 58 0 R 30] - /Pg 150 0 R + /K [58 0 R] >> endobj 58 0 obj << /Type /StructElem - /S /Formula + /S /LI /P 57 0 R - /K [29] - /Pg 150 0 R + /K [60 0 R 59 0 R] >> endobj 59 0 obj << /Type /StructElem - /S /Formula - /P 57 0 R - /K [27] - /Pg 150 0 R + /S /LBody + /P 58 0 R + /K [173 174] + /Pg 311 0 R >> endobj 60 0 obj << /Type /StructElem - /S /TD - /P 56 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [61 0 R] + /S /Lbl + /P 58 0 R + /K [172] + /Pg 311 0 R >> endobj 61 0 obj << /Type /StructElem - /S /Formula - /P 60 0 R - /K [22 23 24 25] - /Pg 150 0 R + /S /P + /P 14 0 R + /K [154 64 0 R 156 63 0 R 161 62 0 R 171] + /Pg 311 0 R >> endobj 62 0 obj << /Type /StructElem - /S /TR - /P 29 0 R - /K [69 0 R 63 0 R] + /S /Formula + /P 61 0 R + /K [162 163 164 165 166 167 168 169 170] + /Pg 311 0 R >> endobj 63 0 obj << /Type /StructElem - /S /TD - /P 62 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [68 0 R 13 67 0 R 15 66 0 R 17 65 0 R 19 64 0 R 21] - /Pg 150 0 R + /S /Formula + /P 61 0 R + /K [157 158 159 160] + /Pg 311 0 R >> endobj @@ -727,118 +628,197 @@ endobj << /Type /StructElem /S /Formula - /P 63 0 R - /K [20] - /Pg 150 0 R + /P 61 0 R + /K [155] + /Pg 311 0 R >> endobj 65 0 obj << /Type /StructElem - /S /Formula - /P 63 0 R - /K [18] - /Pg 150 0 R + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [66 0 R] >> endobj 66 0 obj << /Type /StructElem - /S /Formula - /P 63 0 R - /K [16] - /Pg 150 0 R + /S /LI + /P 65 0 R + /K [68 0 R 67 0 R] >> endobj 67 0 obj << /Type /StructElem - /S /Formula - /P 63 0 R - /K [14] - /Pg 150 0 R + /S /LBody + /P 66 0 R + /K [152 153] + /Pg 311 0 R >> endobj 68 0 obj << /Type /StructElem - /S /Formula - /P 63 0 R - /K [12] - /Pg 150 0 R + /S /Lbl + /P 66 0 R + /K [151] + /Pg 311 0 R >> endobj 69 0 obj << /Type /StructElem - /S /TD - /P 62 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [70 0 R] + /S /P + /P 14 0 R + /K [150] + /Pg 311 0 R >> endobj 70 0 obj << /Type /StructElem - /S /Formula - /P 69 0 R - /K [3 4 5 6 7 8 9 10 11] - /Pg 150 0 R + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [71 0 R] >> endobj 71 0 obj << /Type /StructElem - /S /TR - /P 29 0 R - /K [74 0 R 72 0 R] + /S /LI + /P 70 0 R + /K [73 0 R 72 0 R] >> endobj 72 0 obj << /Type /StructElem - /S /TD + /S /LBody /P 71 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [73 0 R] + /K [149] + /Pg 311 0 R >> endobj 73 0 obj << /Type /StructElem - /S /Strong - /P 72 0 R - /K [2] - /Pg 150 0 R + /S /Lbl + /P 71 0 R + /K [148] + /Pg 311 0 R >> endobj 74 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [145 146 147] + /Pg 311 0 R +>> +endobj + +75 0 obj +<< + /Type /StructElem + /S /L + /P 14 0 R + /A [<< + /O /List + /ListNumbering /Decimal + >>] + /K [76 0 R] +>> +endobj + +76 0 obj +<< + /Type /StructElem + /S /LI + /P 75 0 R + /K [78 0 R 77 0 R] +>> +endobj + +77 0 obj +<< + /Type /StructElem + /S /LBody + /P 76 0 R + /K [144] + /Pg 311 0 R +>> +endobj + +78 0 obj +<< + /Type /StructElem + /S /Lbl + /P 76 0 R + /K [143] + /Pg 311 0 R +>> +endobj + +79 0 obj +<< + /Type /StructElem + /S /H3 + /P 14 0 R + /T + /K [142] + /Pg 311 0 R +>> +endobj + +80 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [182 0 R 169 0 R 161 0 R 153 0 R 145 0 R 137 0 R 129 0 R 121 0 R 113 0 R 105 0 R 97 0 R 89 0 R 81 0 R] +>> +endobj + +81 0 obj +<< + /Type /StructElem + /S /TR + /P 80 0 R + /K [87 0 R 86 0 R 85 0 R 84 0 R 83 0 R 82 0 R] +>> +endobj + +82 0 obj << /Type /StructElem /S /TD - /P 71 0 R + /P 81 0 R /A [<< /O /Table /Headers [] @@ -846,122 +826,59 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [75 0 R] ->> -endobj - -75 0 obj -<< - /Type /StructElem - /S /Strong - /P 74 0 R - /K [1] - /Pg 150 0 R ->> -endobj - -76 0 obj -<< - /Type /StructElem - /S /Caption - /P 29 0 R - /K [77 0 R] ->> -endobj - -77 0 obj -<< - /Type /StructElem - /S /Span - /P 76 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [102] - /Pg 150 0 R ->> -endobj - -78 0 obj -<< - /Type /StructElem - /S /H3 - /P 11 0 R - /T - /K [0] - /Pg 150 0 R ->> -endobj - -79 0 obj -<< - /Type /StructElem - /S /P - /P 11 0 R - /K [21 22] - /Pg 148 0 R ->> -endobj - -80 0 obj -<< - /Type /StructElem - /S /H3 - /P 11 0 R - /T - /K [20] - /Pg 148 0 R ->> -endobj - -81 0 obj -<< - /Type /StructElem - /S /P - /P 11 0 R - /K [18 19] - /Pg 148 0 R ->> -endobj - -82 0 obj -<< - /Type /StructElem - /S /H3 - /P 11 0 R - /T - /K [17] - /Pg 148 0 R + /K [140] + /Pg 311 0 R >> endobj 83 0 obj << /Type /StructElem - /S /H1 - /P 11 0 R - /T - /K [13 14 15 16] - /Pg 148 0 R + /S /TD + /P 81 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [139] + /Pg 311 0 R >> endobj 84 0 obj << /Type /StructElem - /S /Table - /P 11 0 R - /K [97 0 R 91 0 R 85 0 R] + /S /TD + /P 81 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [138] + /Pg 311 0 R >> endobj 85 0 obj << /Type /StructElem - /S /TR - /P 84 0 R - /K [88 0 R 86 0 R] + /S /TD + /P 81 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [137] + /Pg 311 0 R >> endobj @@ -969,64 +886,85 @@ endobj << /Type /StructElem /S /TD - /P 85 0 R + /P 81 0 R /A [<< /O /Table /Headers [] + >> << + /O /Layout + /BorderStyle /Solid >>] - /K [87 0 R] + /K [136] + /Pg 311 0 R >> endobj 87 0 obj << /Type /StructElem - /S /P - /P 86 0 R - /K [12] - /Pg 148 0 R + /S /TD + /P 81 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [88 0 R] >> endobj 88 0 obj << /Type /StructElem - /S /TD - /P 85 0 R - /A [<< - /O /Table - /Headers [] - >>] - /K [89 0 R] + /S /Formula + /P 87 0 R + /K [133 134 135] + /Pg 311 0 R >> endobj 89 0 obj << /Type /StructElem - /S /P - /P 88 0 R - /K [10 90 0 R] - /Pg 148 0 R + /S /TR + /P 80 0 R + /K [95 0 R 94 0 R 93 0 R 92 0 R 91 0 R 90 0 R] >> endobj 90 0 obj << /Type /StructElem - /S /Em + /S /TD /P 89 0 R - /K [11] - /Pg 148 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [132] + /Pg 311 0 R >> endobj 91 0 obj << /Type /StructElem - /S /TR - /P 84 0 R - /K [94 0 R 92 0 R] + /S /TD + /P 89 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [131] + /Pg 311 0 R >> endobj @@ -1034,22 +972,33 @@ endobj << /Type /StructElem /S /TD - /P 91 0 R + /P 89 0 R /A [<< /O /Table /Headers [] + >> << + /O /Layout + /BorderStyle /Solid >>] - /K [93 0 R] + /K [130] + /Pg 311 0 R >> endobj 93 0 obj << /Type /StructElem - /S /P - /P 92 0 R - /K [9] - /Pg 148 0 R + /S /TD + /P 89 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [129] + /Pg 311 0 R >> endobj @@ -1057,32 +1006,42 @@ endobj << /Type /StructElem /S /TD - /P 91 0 R + /P 89 0 R /A [<< /O /Table /Headers [] + >> << + /O /Layout + /BorderStyle /Solid >>] - /K [95 0 R] + /K [128] + /Pg 311 0 R >> endobj 95 0 obj << /Type /StructElem - /S /P - /P 94 0 R - /K [7 96 0 R] - /Pg 148 0 R + /S /TD + /P 89 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [96 0 R] >> endobj 96 0 obj << /Type /StructElem - /S /Em + /S /Formula /P 95 0 R - /K [8] - /Pg 148 0 R + /K [123 124 125 126 127] + /Pg 311 0 R >> endobj @@ -1090,8 +1049,8 @@ endobj << /Type /StructElem /S /TR - /P 84 0 R - /K [100 0 R 98 0 R] + /P 80 0 R + /K [103 0 R 102 0 R 101 0 R 100 0 R 99 0 R 98 0 R] >> endobj @@ -1103,18 +1062,29 @@ endobj /A [<< /O /Table /Headers [] + >> << + /O /Layout + /BorderStyle /Solid >>] - /K [99 0 R] + /K [122] + /Pg 311 0 R >> endobj 99 0 obj << /Type /StructElem - /S /P - /P 98 0 R - /K [6] - /Pg 148 0 R + /S /TD + /P 97 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [121] + /Pg 311 0 R >> endobj @@ -1126,36 +1096,61 @@ endobj /A [<< /O /Table /Headers [] + >> << + /O /Layout + /BorderStyle /Solid >>] - /K [101 0 R] + /K [120] + /Pg 311 0 R >> endobj 101 0 obj << /Type /StructElem - /S /P - /P 100 0 R - /K [4 102 0 R] - /Pg 148 0 R + /S /TD + /P 97 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [119] + /Pg 311 0 R >> endobj 102 0 obj << /Type /StructElem - /S /Em - /P 101 0 R - /K [5] - /Pg 148 0 R + /S /TD + /P 97 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [118] + /Pg 311 0 R >> endobj 103 0 obj << /Type /StructElem - /S /Table - /P 11 0 R + /S /TD + /P 97 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] /K [104 0 R] >> endobj @@ -1163,36 +1158,36 @@ endobj 104 0 obj << /Type /StructElem - /S /TR + /S /Formula /P 103 0 R - /K [107 0 R 105 0 R] + /K [114 115 116 117] + /Pg 311 0 R >> endobj 105 0 obj << /Type /StructElem - /S /TD - /P 104 0 R - /A [<< - /O /Table - /Headers [] - >>] - /K [106 0 R] + /S /TR + /P 80 0 R + /K [111 0 R 110 0 R 109 0 R 108 0 R 107 0 R 106 0 R] >> endobj 106 0 obj << /Type /StructElem - /S /Figure + /S /TD /P 105 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [3] - /Pg 148 0 R + /K [113] + /Pg 311 0 R >> endobj @@ -1200,66 +1195,2102 @@ endobj << /Type /StructElem /S /TD - /P 104 0 R + /P 105 0 R /A [<< /O /Table /Headers [] + >> << + /O /Layout + /BorderStyle /Solid >>] - /K [108 0 R] + /K [112] + /Pg 311 0 R >> endobj 108 0 obj << /Type /StructElem - /S /Strong - /P 107 0 R - /K [0 1 2] - /Pg 148 0 R + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [111] + /Pg 311 0 R >> endobj 109 0 obj << - /Type /Font - /Subtype /Type0 - /BaseFont /QSOMAR+NewCM10-Bold-Identity-H - /Encoding /Identity-H - /DescendantFonts [110 0 R] - /ToUnicode 113 0 R + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [110] + /Pg 311 0 R >> endobj 110 0 obj << - /Type /Font - /Subtype /CIDFontType0 - /BaseFont /QSOMAR+NewCM10-Bold - /CIDSystemInfo << - /Registry (Adobe) - /Ordering (Identity) - /Supplement 0 - >> - /FontDescriptor 112 0 R - /DW 0 - /W [0 0 280 1 1 869 2 3 639 4 4 575 5 5 527 6 6 639 7 7 510.99997 8 8 544 9 9 383 10 10 901 11 11 800 12 12 1091 13 13 863 14 14 958 15 15 510.99997 16 16 639 17 17 575 18 18 383 19 19 607 20 21 639 22 22 766 23 23 496 24 24 559 25 25 894 26 26 607 27 27 639 28 28 575 29 29 786 30 30 575 31 31 639 32 32 1103 33 33 575 34 34 319 35 36 575 37 37 639 38 38 607 39 39 958 40 40 941 41 41 639 42 42 830 43 43 901 44 44 703 45 45 901] + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [109] + /Pg 311 0 R >> endobj 111 0 obj << - /Length 14 - /Filter /FlateDecode + /Type /StructElem + /S /TD + /P 105 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [112 0 R] >> -stream -x -endstream endobj 112 0 obj +<< + /Type /StructElem + /S /Formula + /P 111 0 R + /K [105 106 107 108] + /Pg 311 0 R +>> +endobj + +113 0 obj +<< + /Type /StructElem + /S /TR + /P 80 0 R + /K [119 0 R 118 0 R 117 0 R 116 0 R 115 0 R 114 0 R] +>> +endobj + +114 0 obj +<< + /Type /StructElem + /S /TD + /P 113 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [104] + /Pg 311 0 R +>> +endobj + +115 0 obj +<< + /Type /StructElem + /S /TD + /P 113 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [103] + /Pg 311 0 R +>> +endobj + +116 0 obj +<< + /Type /StructElem + /S /TD + /P 113 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [102] + /Pg 311 0 R +>> +endobj + +117 0 obj +<< + /Type /StructElem + /S /TD + /P 113 0 R + /A [<< + /O /Table + /Headers [] + >> 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мм"$][$X_"Э" eq ", мм"$][$X_"Э" eq ", мм"$], + table(columns: 6, align: horizon, inset: 10pt)[$X_O eq 970 "мм"$][$X_"Э" eq 38 "мм"$][$X_"Э" eq 138 "мм"$][$X_"Э" eq 238 "мм"$][$X_"Э" eq 338 "мм"$][$X_"Э" eq 438 "мм"$][$x_1", мм"$][-17][-20][-15][-18][-13][$x_2", мм"$][-14][-16][-11][-16][-11][$x_3", мм"$][-11][-12][-9][-13][-7][$x_4", мм"$][-7.5][-10][-6][-11][-5][$x_5", мм"$][-3][-3][-2][-3][-2][$x_6", мм"$][0][0][0][0][0][$x_7", мм"$][4][4][2][2][1][$x_8", мм"$][7][7][6][5][4][$x_9", мм"$][11][10][8][7][6][$x_(10)", мм"$][15][13][12][10][8][$L", мм"$][932][832][732][632][532], supplement: [Табл.], caption: [Результаты измерений.] ) ] + +#align(center)[=== Контрольные вопросы] + +1. Что такое когерентность? Каким образом можно получить когерентные источники? + +Когерентность -— это постоянство разности фаз между волнами. Когерентные источники получают разделением излучения одного источника на два пучка (щели Юнга, делители пучка и т.д.). Два разных независимых источника когерентности не дают. + +2. Чем можно объяснить наличие максимума по центру интерференционной картины? + +По центру разность хода = 0. Волны приходят в фазе и дают максимум интенсивности. + +3. Сформулируйте условия возникновения максимумов и минимумов при интерференции через разность хода. + +Разность хода -- $Delta$. Условие максимума: $Delta eq m lambda$. Условие минимума: $Delta eq (m plus 1/2) lambda$. + +4. Сформулируйте условия возникновения максимумов и минимумов при интерференции через разность фаз. + +Разность фаз -- $Delta phi$. Условие максимума: $Delta phi eq 2 pi m$. Условие минимума: $Delta phi eq (2 m plus 1) pi$. + +5. Как изменится вид интерференционной картины в опыте Юнга при увеличении расстояния между щелями? + +Так как $d$ увеличивается, полосы сжимаются. $Delta x eq (lambda L, d)$. + +6. Как изменится вид интерференционной картины в опыте Юнга при увеличении расстояния $L$ до экрана? + +Так как $L$ увеличивается, полосы растягиваются. $Delta x eq (lambda L)/d$. + +7. Что называется контрастом интерференционной картины? + +Контраст -- степень различимости максимумов и минимумов. $C eq (I_max minus I_min) / (I_max plus I_min)$. Чем выше контраст, тем точнее и чище видна картинка. + +8. Почему для наблюдения наиболее контрастной интерференционной картины необходимо равенство амплитуд складывающих волн? + +Если амплитуды одинаковые, то максимумы максимально яркие, а минимумы максимально темные. Это дает наибольший контраст. Если амплитуды разные, минимумы будут заполняться остаточной интенсивностью и картинка будет не такой точной. + +9. Как изменится вид интерференционной картины в опыте Юнга при изменении длины волны источника, с которымпроводится опыт? + +Если $lambda$ увеличивается, то полосы расширяются. Если $lambda$ уменьшается, то полосы сужаются. + +10. Как будет меняться интерференционная картина? Если первое отверстие в опыте Юнга постепенно делать больше? + +Первое отверстие определяет размер области, играющей роль точечного источника. Если его увеличить, то оно перестанет быть квазиточечным и падает когерентность. Контраст интерференционной картины уменьшается. При слишком большом отверстии картина исчезает полностью.