diff --git a/logic/.obsidian/app.json b/logic/.obsidian/app.json new file mode 100644 index 0000000..9e26dfe --- /dev/null +++ b/logic/.obsidian/app.json @@ -0,0 +1 @@ +{} \ No newline at end of file diff --git a/logic/.obsidian/appearance.json b/logic/.obsidian/appearance.json new file mode 100644 index 0000000..9e26dfe --- /dev/null +++ b/logic/.obsidian/appearance.json @@ -0,0 +1 @@ +{} \ No newline at end of file diff --git a/logic/.obsidian/core-plugins.json b/logic/.obsidian/core-plugins.json new file mode 100644 index 0000000..639b90d --- /dev/null +++ b/logic/.obsidian/core-plugins.json @@ -0,0 +1,33 @@ +{ + "file-explorer": true, + "global-search": true, + "switcher": true, + "graph": true, + "backlink": true, + "canvas": true, + "outgoing-link": true, + "tag-pane": true, + "footnotes": false, + "properties": true, + "page-preview": true, + "daily-notes": true, + "templates": true, + "note-composer": true, + "command-palette": true, + "slash-command": false, + "editor-status": true, + "bookmarks": true, + "markdown-importer": false, + "zk-prefixer": false, + "random-note": false, + "outline": true, + "word-count": true, + "slides": false, + "audio-recorder": false, + "workspaces": false, + "file-recovery": true, + "publish": false, + "sync": true, + "bases": true, + "webviewer": false +} \ No newline at end of file diff --git a/logic/.obsidian/workspace.json b/logic/.obsidian/workspace.json new file mode 100644 index 0000000..348d2d4 --- /dev/null +++ b/logic/.obsidian/workspace.json @@ -0,0 +1,192 @@ +{ + "main": { + "id": "edb1ebea8169bc3e", + "type": "split", + "children": [ + { + "id": "724d0ad68d510d57", + "type": "tabs", + "children": [ + { + "id": "fe1e81558756c09c", + "type": "leaf", + "state": { + "type": "pdf", + "state": { + "file": "notes.pdf" + }, + "icon": "lucide-file-text", + "title": "notes" + } + } + ] + } + ], + "direction": "vertical" + }, + "left": { + "id": "4768e79537592808", + "type": "split", + "children": [ + { + "id": "259febbe7265eb85", + "type": "tabs", + "children": [ + { + "id": "4250c63d8e6ee2c8", + "type": "leaf", + "state": { + "type": "file-explorer", + "state": { + "sortOrder": "alphabetical", + "autoReveal": false + }, + "icon": "lucide-folder-closed", + "title": "Files" + } + }, + { + "id": "c38c35baa9c86283", + "type": "leaf", + "state": { + "type": "search", + "state": { + "query": "", + "matchingCase": false, + "explainSearch": false, + "collapseAll": false, + "extraContext": false, + "sortOrder": "alphabetical" + }, + "icon": "lucide-search", + "title": "Search" + } + }, + { + "id": "a3b3f8582066ac3c", + "type": "leaf", + "state": { + "type": "bookmarks", + "state": {}, + "icon": "lucide-bookmark", + "title": "Bookmarks" + } + } + ] + } + ], + "direction": "horizontal", + "width": 300, + "collapsed": true + }, + "right": { + "id": "4fe371b26b7fbd49", + "type": "split", + "children": [ + { + "id": "a27e629e16416754", + "type": "tabs", + "children": [ + { + "id": "2ac4dce4aeb43cbe", + "type": "leaf", + "state": { + "type": "backlink", + "state": { + "file": "notes.pdf", + "collapseAll": false, + "extraContext": false, + "sortOrder": "alphabetical", + "showSearch": false, + "searchQuery": "", + "backlinkCollapsed": false, + "unlinkedCollapsed": true + }, + "icon": "links-coming-in", + "title": "Backlinks for notes" + } + }, + { + "id": "57570db4194fbe9d", + "type": "leaf", + "state": { + "type": "outgoing-link", + "state": { + "file": "notes.pdf", + "linksCollapsed": false, + "unlinkedCollapsed": true + }, + "icon": "links-going-out", + "title": "Outgoing links from notes" + } + }, + { + "id": "0736655696eeb3bb", + "type": "leaf", + "state": { + "type": "tag", + "state": { + "sortOrder": "frequency", + "useHierarchy": true, + "showSearch": false, + "searchQuery": "" + }, + "icon": "lucide-tags", + "title": "Tags" + } + }, + { + "id": "268a0417d71d91e3", + "type": "leaf", + "state": { + "type": "all-properties", + "state": { + "sortOrder": "frequency", + "showSearch": false, + "searchQuery": "" + }, + "icon": "lucide-archive", + "title": "All properties" + } + }, + { + "id": "12358fc23750235e", + "type": "leaf", + "state": { + "type": "outline", + "state": { + "file": "notes.pdf", + "followCursor": false, + "showSearch": false, + "searchQuery": "" + }, + "icon": "lucide-list", + "title": "Outline of notes" + } + } + ] + } + ], + "direction": "horizontal", + "width": 300, + "collapsed": true + }, + "left-ribbon": { + "hiddenItems": { + "switcher:Open quick switcher": false, + "graph:Open graph view": false, + "canvas:Create new canvas": false, + "daily-notes:Open today's daily note": false, + "templates:Insert template": false, + "command-palette:Open command palette": false, + "bases:Create new base": false + } + }, + "active": "fe1e81558756c09c", + "lastOpenFiles": [ + "notes.typ~", + "4.py~", + "4.py", + "notes.typ" + ] +} \ No newline at end of file diff --git a/logic/4.py b/logic/4.py new file mode 100644 index 0000000..532baee --- /dev/null +++ b/logic/4.py @@ -0,0 +1,15 @@ + +def f4(a, b): + return ((a <= b) and b) <= a + + +def main(): + print("a, b, f(a, b)") + for a in [0, 1]: + for b in [0, 1]: + print(a, b, int(f4(a, b))) + + + +if __name__ == "__main__": + main() diff --git a/logic/notes.pdf b/logic/notes.pdf index 5be1ba6..c344e92 100644 --- a/logic/notes.pdf +++ b/logic/notes.pdf @@ -4,8 +4,8 @@ 1 0 obj << /Type /Pages - /Count 3 - /Kids [221 0 R 223 0 R 225 0 R] + /Count 6 + /Kids [397 0 R 399 0 R 401 0 R 403 0 R 405 0 R 407 0 R] >> endobj @@ -13,8 +13,8 @@ endobj << /Type /Outlines /First 3 0 R - /Last 4 0 R - /Count 2 + /Last 6 0 R + /Count 4 >> endobj @@ -23,20 +23,40 @@ endobj /Parent 2 0 R /Next 4 0 R /Title - /Dest 219 0 R + /Dest 393 0 R >> endobj 4 0 obj << /Parent 2 0 R + /Next 5 0 R /Prev 3 0 R /Title - /Dest 220 0 R + /Dest 394 0 R >> endobj 5 0 obj +<< + /Parent 2 0 R + /Next 6 0 R + /Prev 4 0 R + /Title + /Dest 395 0 R +>> +endobj + +6 0 obj +<< + /Parent 2 0 R + /Prev 5 0 R + /Title + /Dest 396 0 R +>> +endobj + +7 0 obj << /Type /StructTreeRoot /RoleMap << @@ -46,349 +66,303 @@ endobj /Strong /Span /Em /Span >> - /K [9 0 R] + /K [14 0 R] /ParentTree << - /Nums [0 6 0 R 1 7 0 R 2 8 0 R] + /Nums [0 8 0 R 1 9 0 R 2 10 0 R 3 11 0 R 4 12 0 R 5 13 0 R] >> - /ParentTreeNextKey 3 + /ParentTreeNextKey 6 >> endobj -6 0 obj -[192 0 R 190 0 R 191 0 R 188 0 R 186 0 R 187 0 R 187 0 R 187 0 R 187 0 R 187 0 R 184 0 R 182 0 R 183 0 R 180 0 R 178 0 R 179 0 R 176 0 R 174 0 R 175 0 R 172 0 R 170 0 R 171 0 R 171 0 R 171 0 R 171 0 R 171 0 R 167 0 R 167 0 R 167 0 R 167 0 R 167 0 R 162 0 R 160 0 R 158 0 R 158 0 R 158 0 R 155 0 R 154 0 R 153 0 R 151 0 R 150 0 R 149 0 R 147 0 R 146 0 R 145 0 R 143 0 R 142 0 R 141 0 R 166 0 R 165 0 R 164 0 R 134 0 R 132 0 R 130 0 R 130 0 R 130 0 R 127 0 R 126 0 R 125 0 R 123 0 R 122 0 R 121 0 R 119 0 R 118 0 R 117 0 R 115 0 R 114 0 R 113 0 R 138 0 R 137 0 R 136 0 R 106 0 R 104 0 R 102 0 R 102 0 R 102 0 R 99 0 R 98 0 R 97 0 R 95 0 R 94 0 R 93 0 R 91 0 R 90 0 R 89 0 R 87 0 R 86 0 R 85 0 R 110 0 R 109 0 R 108 0 R] -endobj - -7 0 obj -[78 0 R 76 0 R 74 0 R 74 0 R 74 0 R 71 0 R 70 0 R 69 0 R 67 0 R 66 0 R 65 0 R 63 0 R 62 0 R 61 0 R 59 0 R 58 0 R 57 0 R 82 0 R 81 0 R 80 0 R 50 0 R 48 0 R 46 0 R 46 0 R 46 0 R 43 0 R 42 0 R 41 0 R 39 0 R 38 0 R 37 0 R 35 0 R 34 0 R 33 0 R 31 0 R 30 0 R 29 0 R 54 0 R 53 0 R 52 0 R 26 0 R 24 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 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 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R 23 0 R] -endobj - 8 0 obj -[22 0 R 21 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 20 0 R 19 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 18 0 R 17 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 16 0 R 15 0 R 14 0 R 14 0 R 14 0 R 14 0 R 14 0 R 14 0 R 14 0 R 14 0 R 14 0 R 14 0 R 13 0 R 12 0 R 12 0 R 12 0 R 12 0 R 12 0 R 12 0 R 12 0 R 12 0 R 12 0 R 12 0 R 11 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R 10 0 R] +[366 0 R 364 0 R 365 0 R 362 0 R 360 0 R 361 0 R 361 0 R 361 0 R 361 0 R 361 0 R 358 0 R 356 0 R 357 0 R 354 0 R 352 0 R 353 0 R 350 0 R 348 0 R 349 0 R 346 0 R 344 0 R 345 0 R 345 0 R 345 0 R 345 0 R 345 0 R 341 0 R 341 0 R 341 0 R 341 0 R 341 0 R 336 0 R 334 0 R 332 0 R 332 0 R 332 0 R 329 0 R 328 0 R 327 0 R 325 0 R 324 0 R 323 0 R 321 0 R 320 0 R 319 0 R 317 0 R 316 0 R 315 0 R 340 0 R 339 0 R 338 0 R 308 0 R 306 0 R 304 0 R 304 0 R 304 0 R 301 0 R 300 0 R 299 0 R 297 0 R 296 0 R 295 0 R 293 0 R 292 0 R 291 0 R 289 0 R 288 0 R 287 0 R 312 0 R 311 0 R 310 0 R 280 0 R 278 0 R 276 0 R 276 0 R 276 0 R 273 0 R 272 0 R 271 0 R 269 0 R 268 0 R 267 0 R 265 0 R 264 0 R 263 0 R 261 0 R 260 0 R 259 0 R 284 0 R 283 0 R 282 0 R] endobj 9 0 obj -<< - /Type /StructElem - /S /Document - /P 5 0 R - /K [168 0 R 167 0 R 139 0 R 111 0 R 83 0 R 55 0 R 27 0 R 26 0 R 24 0 R 23 0 R 22 0 R 21 0 R 20 0 R 19 0 R 18 0 R 17 0 R 16 0 R 15 0 R 14 0 R 13 0 R 12 0 R 11 0 R 10 0 R] ->> +[252 0 R 250 0 R 248 0 R 248 0 R 248 0 R 245 0 R 244 0 R 243 0 R 241 0 R 240 0 R 239 0 R 237 0 R 236 0 R 235 0 R 233 0 R 232 0 R 231 0 R 256 0 R 255 0 R 254 0 R 224 0 R 222 0 R 220 0 R 220 0 R 220 0 R 217 0 R 216 0 R 215 0 R 213 0 R 212 0 R 211 0 R 209 0 R 208 0 R 207 0 R 205 0 R 204 0 R 203 0 R 228 0 R 227 0 R 226 0 R 200 0 R 198 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 0 R 199 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 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 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 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 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 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 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 197 0 R 197 0 R 197 0 R 197 0 R] endobj 10 0 obj -<< - /Type /StructElem - /S /Formula - /P 9 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [58 59 60 61 62 63 64 65 66 67 68 69] - /Pg 225 0 R ->> +[196 0 R 195 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 194 0 R 193 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 192 0 R 191 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 190 0 R 189 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 188 0 R 187 0 R 186 0 R 186 0 R 186 0 R 186 0 R 186 0 R 186 0 R 186 0 R 186 0 R 186 0 R 186 0 R 185 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 184 0 R 183 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 182 0 R 181 0 R 181 0 R] endobj 11 0 obj -<< - /Type /StructElem - /S /P - /P 9 0 R - /K [57] - /Pg 225 0 R ->> +[176 0 R 174 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 172 0 R 169 0 R 168 0 R 167 0 R 165 0 R 164 0 R 163 0 R 161 0 R 160 0 R 159 0 R 157 0 R 156 0 R 155 0 R 180 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 179 0 R 178 0 R 148 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 146 0 R 143 0 R 142 0 R 140 0 R 139 0 R 152 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 151 0 R 150 0 R 132 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 130 0 R 127 0 R 126 0 R 124 0 R 123 0 R 136 0 R 135 0 R 135 0 R 135 0 R 135 0 R 135 0 R 135 0 R 135 0 R 134 0 R 116 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 114 0 R 111 0 R 110 0 R 108 0 R 107 0 R 120 0 R 119 0 R 119 0 R 119 0 R 119 0 R 119 0 R 119 0 R 118 0 R 104 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R 103 0 R] endobj 12 0 obj -<< - /Type /StructElem - /S /Formula - /P 9 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [47 48 49 50 51 52 53 54 55 56] - /Pg 225 0 R ->> +[102 0 R 99 0 R 101 0 R 99 0 R 100 0 R 99 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 98 0 R 96 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 97 0 R 96 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 95 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 94 0 R 93 0 R 93 0 R 88 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 86 0 R 83 0 R 82 0 R 80 0 R 79 0 R 92 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 91 0 R 90 0 R] endobj 13 0 obj -<< - /Type /StructElem - /S /P - /P 9 0 R - /K [46] - /Pg 225 0 R ->> +[72 0 R 70 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 68 0 R 65 0 R 64 0 R 63 0 R 61 0 R 60 0 R 59 0 R 57 0 R 56 0 R 55 0 R 53 0 R 52 0 R 51 0 R 76 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 75 0 R 74 0 R 44 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 42 0 R 39 0 R 38 0 R 36 0 R 35 0 R 48 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 47 0 R 46 0 R 28 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 26 0 R 23 0 R 22 0 R 20 0 R 19 0 R 32 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 31 0 R 30 0 R 16 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R 15 0 R] endobj 14 0 obj << /Type /StructElem - /S /Formula - /P 9 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [36 37 38 39 40 41 42 43 44 45] - /Pg 225 0 R + /S /Document + /P 7 0 R + /K [342 0 R 341 0 R 313 0 R 285 0 R 257 0 R 229 0 R 201 0 R 200 0 R 198 0 R 197 0 R 196 0 R 195 0 R 194 0 R 193 0 R 192 0 R 191 0 R 190 0 R 189 0 R 188 0 R 187 0 R 186 0 R 185 0 R 184 0 R 183 0 R 182 0 R 181 0 R 153 0 R 137 0 R 121 0 R 105 0 R 104 0 R 103 0 R 102 0 R 99 0 R 98 0 R 96 0 R 95 0 R 94 0 R 93 0 R 77 0 R 49 0 R 33 0 R 17 0 R 16 0 R 15 0 R] >> endobj 15 0 obj << /Type /StructElem - /S /P - /P 9 0 R - /K [35] - /Pg 225 0 R + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [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] + /Pg 407 0 R >> endobj 16 0 obj << /Type /StructElem - /S /Formula - /P 9 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [21 22 23 24 25 26 27 28 29 30 31 32 33 34] - /Pg 225 0 R + /S /P + /P 14 0 R + /K [72] + /Pg 407 0 R >> endobj 17 0 obj << /Type /StructElem - /S /P - /P 9 0 R - /K [20] - /Pg 225 0 R + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [29 0 R 24 0 R 21 0 R 18 0 R] >> endobj 18 0 obj << /Type /StructElem - /S /Formula - /P 9 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [10 11 12 13 14 15 16 17 18 19] - /Pg 225 0 R + /S /TR + /P 17 0 R + /K [20 0 R 19 0 R] >> endobj 19 0 obj << /Type /StructElem - /S /P - /P 9 0 R - /K [9] - /Pg 225 0 R + /S /TD + /P 18 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [63] + /Pg 407 0 R >> endobj 20 0 obj << /Type /StructElem - /S /Formula - /P 9 0 R + /S /TD + /P 18 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [2 3 4 5 6 7 8] - /Pg 225 0 R + /K [62] + /Pg 407 0 R >> endobj 21 0 obj << /Type /StructElem - /S /P - /P 9 0 R - /K [1] - /Pg 225 0 R + /S /TR + /P 17 0 R + /K [23 0 R 22 0 R] >> endobj 22 0 obj << /Type /StructElem - /S /H3 - /P 9 0 R - /T - /K [0] - /Pg 225 0 R + /S /TD + /P 21 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [61] + /Pg 407 0 R >> endobj 23 0 obj << /Type /StructElem - /S /Formula - /P 9 0 R + /S /TD + /P 21 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [57 58 59 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158] - /Pg 223 0 R + /K [60] + /Pg 407 0 R >> endobj 24 0 obj << /Type /StructElem - /S /P - /P 9 0 R - /K [41 25 0 R] - /Pg 223 0 R + /S /TR + /P 17 0 R + /K [27 0 R 25 0 R] >> endobj 25 0 obj << /Type /StructElem - /S /Formula + /S /TD /P 24 0 R - /K [42 43 44 45 46 47 48 49 50 51 52 53 54 55 56] - /Pg 223 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [26 0 R] >> endobj 26 0 obj << /Type /StructElem - /S /H3 - /P 9 0 R - /T - /K [40] - /Pg 223 0 R + /S /Formula + /P 25 0 R + /K [54 55 56 57 58 59] + /Pg 407 0 R >> endobj 27 0 obj << /Type /StructElem - /S /Table - /P 9 0 R + /S /TD + /P 24 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 + /BorderStyle /Solid >>] - /K [51 0 R 44 0 R 40 0 R 36 0 R 32 0 R 28 0 R] + /K [28 0 R] >> endobj 28 0 obj << /Type /StructElem - /S /TR + /S /Formula /P 27 0 R - /K [31 0 R 30 0 R 29 0 R] + /K [53] + /Pg 407 0 R >> endobj 29 0 obj << /Type /StructElem - /S /TD - /P 28 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [36] - /Pg 223 0 R + /S /Caption + /P 17 0 R + /K [32 0 R 31 0 R 30 0 R] >> endobj 30 0 obj << /Type /StructElem - /S /TD - /P 28 0 R + /S /Span + /P 29 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [35] - /Pg 223 0 R + /K [71] + /Pg 407 0 R >> endobj 31 0 obj << /Type /StructElem - /S /TD - /P 28 0 R + /S /Formula + /P 29 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [34] - /Pg 223 0 R + /K [65 66 67 68 69 70] + /Pg 407 0 R >> endobj 32 0 obj << /Type /StructElem - /S /TR - /P 27 0 R - /K [35 0 R 34 0 R 33 0 R] + /S /Span + /P 29 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [64] + /Pg 407 0 R >> endobj 33 0 obj << /Type /StructElem - /S /TD - /P 32 0 R + /S /Table + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /BorderColor [0 0 0] + /BorderThickness 1 >>] - /K [33] - /Pg 223 0 R + /K [45 0 R 40 0 R 37 0 R 34 0 R] >> endobj 34 0 obj << /Type /StructElem - /S /TD - /P 32 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [32] - /Pg 223 0 R + /S /TR + /P 33 0 R + /K [36 0 R 35 0 R] >> endobj @@ -396,7 +370,7 @@ endobj << /Type /StructElem /S /TD - /P 32 0 R + /P 34 0 R /A [<< /O /Table /Headers [] @@ -404,25 +378,16 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [31] - /Pg 223 0 R + /K [44] + /Pg 407 0 R >> endobj 36 0 obj -<< - /Type /StructElem - /S /TR - /P 27 0 R - /K [39 0 R 38 0 R 37 0 R] ->> -endobj - -37 0 obj << /Type /StructElem /S /TD - /P 36 0 R + /P 34 0 R /A [<< /O /Table /Headers [] @@ -430,8 +395,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [30] - /Pg 223 0 R + /K [43] + /Pg 407 0 R +>> +endobj + +37 0 obj +<< + /Type /StructElem + /S /TR + /P 33 0 R + /K [39 0 R 38 0 R] >> endobj @@ -439,7 +413,7 @@ endobj << /Type /StructElem /S /TD - /P 36 0 R + /P 37 0 R /A [<< /O /Table /Headers [] @@ -447,8 +421,8 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [29] - /Pg 223 0 R + /K [42] + /Pg 407 0 R >> endobj @@ -456,7 +430,7 @@ endobj << /Type /StructElem /S /TD - /P 36 0 R + /P 37 0 R /A [<< /O /Table /Headers [] @@ -464,8 +438,8 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [28] - /Pg 223 0 R + /K [41] + /Pg 407 0 R >> endobj @@ -473,8 +447,8 @@ endobj << /Type /StructElem /S /TR - /P 27 0 R - /K [43 0 R 42 0 R 41 0 R] + /P 33 0 R + /K [43 0 R 41 0 R] >> endobj @@ -490,25 +464,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [27] - /Pg 223 0 R + /K [42 0 R] >> endobj 42 0 obj << /Type /StructElem - /S /TD - /P 40 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [26] - /Pg 223 0 R + /S /Formula + /P 41 0 R + /K [35 36 37 38 39 40] + /Pg 407 0 R >> endobj @@ -524,77 +490,99 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [25] - /Pg 223 0 R + /K [44 0 R] >> endobj 44 0 obj << /Type /StructElem - /S /TR - /P 27 0 R - /K [49 0 R 47 0 R 45 0 R] + /S /Formula + /P 43 0 R + /K [34] + /Pg 407 0 R >> endobj 45 0 obj << /Type /StructElem - /S /TD - /P 44 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [46 0 R] + /S /Caption + /P 33 0 R + /K [48 0 R 47 0 R 46 0 R] >> endobj 46 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 45 0 R - /K [22 23 24] - /Pg 223 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [52] + /Pg 407 0 R >> endobj 47 0 obj << /Type /StructElem - /S /TD - /P 44 0 R + /S /Formula + /P 45 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [48 0 R] + /K [46 47 48 49 50 51] + /Pg 407 0 R >> endobj 48 0 obj << /Type /StructElem - /S /Formula - /P 47 0 R - /K [21] - /Pg 223 0 R + /S /Span + /P 45 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [45] + /Pg 407 0 R >> endobj 49 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [73 0 R 66 0 R 62 0 R 58 0 R 54 0 R 50 0 R] +>> +endobj + +50 0 obj +<< + /Type /StructElem + /S /TR + /P 49 0 R + /K [53 0 R 52 0 R 51 0 R] +>> +endobj + +51 0 obj << /Type /StructElem /S /TD - /P 44 0 R + /P 50 0 R /A [<< /O /Table /Headers [] @@ -602,91 +590,85 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [50 0 R] ->> -endobj - -50 0 obj -<< - /Type /StructElem - /S /Formula - /P 49 0 R - /K [20] - /Pg 223 0 R ->> -endobj - -51 0 obj -<< - /Type /StructElem - /S /Caption - /P 27 0 R - /K [54 0 R 53 0 R 52 0 R] + /K [22] + /Pg 407 0 R >> endobj 52 0 obj << /Type /StructElem - /S /Span - /P 51 0 R + /S /TD + /P 50 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [39] - /Pg 223 0 R + /K [21] + /Pg 407 0 R >> endobj 53 0 obj << /Type /StructElem - /S /Formula - /P 51 0 R + /S /TD + /P 50 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [38] - /Pg 223 0 R + /K [20] + /Pg 407 0 R >> endobj 54 0 obj << /Type /StructElem - /S /Span - /P 51 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [37] - /Pg 223 0 R + /S /TR + /P 49 0 R + /K [57 0 R 56 0 R 55 0 R] >> endobj 55 0 obj << /Type /StructElem - /S /Table - /P 9 0 R + /S /TD + /P 54 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 + /BorderStyle /Solid >>] - /K [79 0 R 72 0 R 68 0 R 64 0 R 60 0 R 56 0 R] + /K [19] + /Pg 407 0 R >> endobj 56 0 obj << /Type /StructElem - /S /TR - /P 55 0 R - /K [59 0 R 58 0 R 57 0 R] + /S /TD + /P 54 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [18] + /Pg 407 0 R >> endobj @@ -694,7 +676,33 @@ endobj << /Type /StructElem /S /TD - /P 56 0 R + /P 54 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [17] + /Pg 407 0 R +>> +endobj + +58 0 obj +<< + /Type /StructElem + /S /TR + /P 49 0 R + /K [61 0 R 60 0 R 59 0 R] +>> +endobj + +59 0 obj +<< + /Type /StructElem + /S /TD + /P 58 0 R /A [<< /O /Table /Headers [] @@ -703,15 +711,15 @@ endobj /BorderStyle /Solid >>] /K [16] - /Pg 223 0 R + /Pg 407 0 R >> endobj -58 0 obj +60 0 obj << /Type /StructElem /S /TD - /P 56 0 R + /P 58 0 R /A [<< /O /Table /Headers [] @@ -720,15 +728,15 @@ endobj /BorderStyle /Solid >>] /K [15] - /Pg 223 0 R + /Pg 407 0 R >> endobj -59 0 obj +61 0 obj << /Type /StructElem /S /TD - /P 56 0 R + /P 58 0 R /A [<< /O /Table /Headers [] @@ -737,24 +745,24 @@ endobj /BorderStyle /Solid >>] /K [14] - /Pg 223 0 R + /Pg 407 0 R >> endobj -60 0 obj +62 0 obj << /Type /StructElem /S /TR - /P 55 0 R - /K [63 0 R 62 0 R 61 0 R] + /P 49 0 R + /K [65 0 R 64 0 R 63 0 R] >> endobj -61 0 obj +63 0 obj << /Type /StructElem /S /TD - /P 60 0 R + /P 62 0 R /A [<< /O /Table /Headers [] @@ -763,15 +771,15 @@ endobj /BorderStyle /Solid >>] /K [13] - /Pg 223 0 R + /Pg 407 0 R >> endobj -62 0 obj +64 0 obj << /Type /StructElem /S /TD - /P 60 0 R + /P 62 0 R /A [<< /O /Table /Headers [] @@ -780,15 +788,15 @@ endobj /BorderStyle /Solid >>] /K [12] - /Pg 223 0 R + /Pg 407 0 R >> endobj -63 0 obj +65 0 obj << /Type /StructElem /S /TD - /P 60 0 R + /P 62 0 R /A [<< /O /Table /Headers [] @@ -797,50 +805,16 @@ endobj /BorderStyle /Solid >>] /K [11] - /Pg 223 0 R ->> -endobj - -64 0 obj -<< - /Type /StructElem - /S /TR - /P 55 0 R - /K [67 0 R 66 0 R 65 0 R] ->> -endobj - -65 0 obj -<< - /Type /StructElem - /S /TD - /P 64 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [10] - /Pg 223 0 R + /Pg 407 0 R >> endobj 66 0 obj << /Type /StructElem - /S /TD - /P 64 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [9] - /Pg 223 0 R + /S /TR + /P 49 0 R + /K [71 0 R 69 0 R 67 0 R] >> endobj @@ -848,7 +822,7 @@ endobj << /Type /StructElem /S /TD - /P 64 0 R + /P 66 0 R /A [<< /O /Table /Headers [] @@ -856,17 +830,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [8] - /Pg 223 0 R + /K [68 0 R] >> endobj 68 0 obj << /Type /StructElem - /S /TR - /P 55 0 R - /K [71 0 R 70 0 R 69 0 R] + /S /Formula + /P 67 0 R + /K [2 3 4 5 6 7 8 9 10] + /Pg 407 0 R >> endobj @@ -874,7 +848,7 @@ endobj << /Type /StructElem /S /TD - /P 68 0 R + /P 66 0 R /A [<< /O /Table /Headers [] @@ -882,25 +856,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [7] - /Pg 223 0 R + /K [70 0 R] >> endobj 70 0 obj << /Type /StructElem - /S /TD - /P 68 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [6] - /Pg 223 0 R + /S /Formula + /P 69 0 R + /K [1] + /Pg 407 0 R >> endobj @@ -908,7 +874,7 @@ endobj << /Type /StructElem /S /TD - /P 68 0 R + /P 66 0 R /A [<< /O /Table /Headers [] @@ -916,77 +882,99 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [5] - /Pg 223 0 R + /K [72 0 R] >> endobj 72 0 obj << /Type /StructElem - /S /TR - /P 55 0 R - /K [77 0 R 75 0 R 73 0 R] + /S /Formula + /P 71 0 R + /K [0] + /Pg 407 0 R >> endobj 73 0 obj << /Type /StructElem - /S /TD - /P 72 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [74 0 R] + /S /Caption + /P 49 0 R + /K [76 0 R 75 0 R 74 0 R] >> endobj 74 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 73 0 R - /K [2 3 4] - /Pg 223 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [33] + /Pg 407 0 R >> endobj 75 0 obj << /Type /StructElem - /S /TD - /P 72 0 R + /S /Formula + /P 73 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [76 0 R] + /K [24 25 26 27 28 29 30 31 32] + /Pg 407 0 R >> endobj 76 0 obj << /Type /StructElem - /S /Formula - /P 75 0 R - /K [1] - /Pg 223 0 R + /S /Span + /P 73 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [23] + /Pg 407 0 R >> endobj 77 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [89 0 R 84 0 R 81 0 R 78 0 R] +>> +endobj + +78 0 obj +<< + /Type /StructElem + /S /TR + /P 77 0 R + /K [80 0 R 79 0 R] +>> +endobj + +79 0 obj << /Type /StructElem /S /TD - /P 72 0 R + /P 78 0 R /A [<< /O /Table /Headers [] @@ -994,82 +982,68 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [78 0 R] ->> -endobj - -78 0 obj -<< - /Type /StructElem - /S /Formula - /P 77 0 R - /K [0] - /Pg 223 0 R ->> -endobj - -79 0 obj -<< - /Type /StructElem - /S /Caption - /P 55 0 R - /K [82 0 R 81 0 R 80 0 R] + /K [139] + /Pg 405 0 R >> endobj 80 0 obj << /Type /StructElem - /S /Span - /P 79 0 R + /S /TD + /P 78 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [19] - /Pg 223 0 R + /K [138] + /Pg 405 0 R >> endobj 81 0 obj << /Type /StructElem - /S /Formula - /P 79 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [18] - /Pg 223 0 R + /S /TR + /P 77 0 R + /K [83 0 R 82 0 R] >> endobj 82 0 obj << /Type /StructElem - /S /Span - /P 79 0 R + /S /TD + /P 81 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [17] - /Pg 223 0 R + /K [137] + /Pg 405 0 R >> endobj 83 0 obj << /Type /StructElem - /S /Table - /P 9 0 R + /S /TD + /P 81 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 + /BorderStyle /Solid >>] - /K [107 0 R 100 0 R 96 0 R 92 0 R 88 0 R 84 0 R] + /K [136] + /Pg 405 0 R >> endobj @@ -1077,8 +1051,8 @@ endobj << /Type /StructElem /S /TR - /P 83 0 R - /K [87 0 R 86 0 R 85 0 R] + /P 77 0 R + /K [87 0 R 85 0 R] >> endobj @@ -1094,25 +1068,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [87] - /Pg 221 0 R + /K [86 0 R] >> endobj 86 0 obj << /Type /StructElem - /S /TD - /P 84 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [86] - /Pg 221 0 R + /S /Formula + /P 85 0 R + /K [123 124 125 126 127 128 129 130 131 132 133 134 135] + /Pg 405 0 R >> endobj @@ -1128,257 +1094,236 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [85] - /Pg 221 0 R + /K [88 0 R] >> endobj 88 0 obj << /Type /StructElem - /S /TR - /P 83 0 R - /K [91 0 R 90 0 R 89 0 R] + /S /Formula + /P 87 0 R + /K [122] + /Pg 405 0 R >> endobj 89 0 obj << /Type /StructElem - /S /TD - /P 88 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [84] - /Pg 221 0 R + /S /Caption + /P 77 0 R + /K [92 0 R 91 0 R 90 0 R] >> endobj 90 0 obj << /Type /StructElem - /S /TD - /P 88 0 R + /S /Span + /P 89 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [83] - /Pg 221 0 R + /K [154] + /Pg 405 0 R >> endobj 91 0 obj << /Type /StructElem - /S /TD - /P 88 0 R + /S /Formula + /P 89 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [82] - /Pg 221 0 R + /K [141 142 143 144 145 146 147 148 149 150 151 152 153] + /Pg 405 0 R >> endobj 92 0 obj << /Type /StructElem - /S /TR - /P 83 0 R - /K [95 0 R 94 0 R 93 0 R] + /S /Span + /P 89 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [140] + /Pg 405 0 R >> endobj 93 0 obj << /Type /StructElem - /S /TD - /P 92 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [81] - /Pg 221 0 R + /S /P + /P 14 0 R + /K [120 121] + /Pg 405 0 R >> endobj 94 0 obj << /Type /StructElem - /S /TD - /P 92 0 R + /S /Formula + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [80] - /Pg 221 0 R + /K [93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119] + /Pg 405 0 R >> endobj 95 0 obj << /Type /StructElem - /S /TD - /P 92 0 R + /S /Formula + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [79] - /Pg 221 0 R + /K [59 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] + /Pg 405 0 R >> endobj 96 0 obj << /Type /StructElem - /S /TR - /P 83 0 R - /K [99 0 R 98 0 R 97 0 R] + /S /P + /P 14 0 R + /K [42 97 0 R 58] + /Pg 405 0 R >> endobj 97 0 obj << /Type /StructElem - /S /TD + /S /Formula /P 96 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [78] - /Pg 221 0 R + /K [43 44 45 46 47 48 49 50 51 52 53 54 55 56 57] + /Pg 405 0 R >> endobj 98 0 obj << /Type /StructElem - /S /TD - /P 96 0 R + /S /Formula + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [77] - /Pg 221 0 R + /K [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 34 35 36 37 38 39 40 41] + /Pg 405 0 R >> endobj 99 0 obj << /Type /StructElem - /S /TD - /P 96 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [76] - /Pg 221 0 R + /S /P + /P 14 0 R + /K [1 101 0 R 3 100 0 R 5] + /Pg 405 0 R >> endobj 100 0 obj << /Type /StructElem - /S /TR - /P 83 0 R - /K [105 0 R 103 0 R 101 0 R] + /S /Formula + /P 99 0 R + /K [4] + /Pg 405 0 R >> endobj 101 0 obj << /Type /StructElem - /S /TD - /P 100 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [102 0 R] + /S /Formula + /P 99 0 R + /K [2] + /Pg 405 0 R >> endobj 102 0 obj << /Type /StructElem - /S /Formula - /P 101 0 R - /K [73 74 75] - /Pg 221 0 R + /S /H3 + /P 14 0 R + /T + /K [0] + /Pg 405 0 R >> endobj 103 0 obj << /Type /StructElem - /S /TD - /P 100 0 R + /S /Formula + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [104 0 R] + /K [98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189] + /Pg 403 0 R >> endobj 104 0 obj << /Type /StructElem - /S /Formula - /P 103 0 R - /K [72] - /Pg 221 0 R + /S /P + /P 14 0 R + /K [97] + /Pg 403 0 R >> endobj 105 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [117 0 R 112 0 R 109 0 R 106 0 R] +>> +endobj + +106 0 obj +<< + /Type /StructElem + /S /TR + /P 105 0 R + /K [108 0 R 107 0 R] +>> +endobj + +107 0 obj << /Type /StructElem /S /TD - /P 100 0 R + /P 106 0 R /A [<< /O /Table /Headers [] @@ -1386,82 +1331,68 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [106 0 R] ->> -endobj - -106 0 obj -<< - /Type /StructElem - /S /Formula - /P 105 0 R - /K [71] - /Pg 221 0 R ->> -endobj - -107 0 obj -<< - /Type /StructElem - /S /Caption - /P 83 0 R - /K [110 0 R 109 0 R 108 0 R] + /K [88] + /Pg 403 0 R >> endobj 108 0 obj << /Type /StructElem - /S /Span - /P 107 0 R + /S /TD + /P 106 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [90] - /Pg 221 0 R + /K [87] + /Pg 403 0 R >> endobj 109 0 obj << /Type /StructElem - /S /Formula - /P 107 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [89] - /Pg 221 0 R + /S /TR + /P 105 0 R + /K [111 0 R 110 0 R] >> endobj 110 0 obj << /Type /StructElem - /S /Span - /P 107 0 R + /S /TD + /P 109 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /Placement /Block + /BorderStyle /Solid >>] - /K [88] - /Pg 221 0 R + /K [86] + /Pg 403 0 R >> endobj 111 0 obj << /Type /StructElem - /S /Table - /P 9 0 R + /S /TD + /P 109 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 + /BorderStyle /Solid >>] - /K [135 0 R 128 0 R 124 0 R 120 0 R 116 0 R 112 0 R] + /K [85] + /Pg 403 0 R >> endobj @@ -1469,8 +1400,8 @@ endobj << /Type /StructElem /S /TR - /P 111 0 R - /K [115 0 R 114 0 R 113 0 R] + /P 105 0 R + /K [115 0 R 113 0 R] >> endobj @@ -1486,25 +1417,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [67] - /Pg 221 0 R + /K [114 0 R] >> endobj 114 0 obj << /Type /StructElem - /S /TD - /P 112 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [66] - /Pg 221 0 R + /S /Formula + /P 113 0 R + /K [79 80 81 82 83 84] + /Pg 403 0 R >> endobj @@ -1520,111 +1443,91 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [65] - /Pg 221 0 R + /K [116 0 R] >> endobj 116 0 obj << /Type /StructElem - /S /TR - /P 111 0 R - /K [119 0 R 118 0 R 117 0 R] + /S /Formula + /P 115 0 R + /K [78] + /Pg 403 0 R >> endobj 117 0 obj << /Type /StructElem - /S /TD - /P 116 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [64] - /Pg 221 0 R + /S /Caption + /P 105 0 R + /K [120 0 R 119 0 R 118 0 R] >> endobj 118 0 obj << /Type /StructElem - /S /TD - /P 116 0 R + /S /Span + /P 117 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [63] - /Pg 221 0 R + /K [96] + /Pg 403 0 R >> endobj 119 0 obj << /Type /StructElem - /S /TD - /P 116 0 R + /S /Formula + /P 117 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [62] - /Pg 221 0 R + /K [90 91 92 93 94 95] + /Pg 403 0 R >> endobj 120 0 obj << /Type /StructElem - /S /TR - /P 111 0 R - /K [123 0 R 122 0 R 121 0 R] + /S /Span + /P 117 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [89] + /Pg 403 0 R >> endobj 121 0 obj << /Type /StructElem - /S /TD - /P 120 0 R + /S /Table + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /BorderColor [0 0 0] + /BorderThickness 1 >>] - /K [61] - /Pg 221 0 R + /K [133 0 R 128 0 R 125 0 R 122 0 R] >> endobj 122 0 obj << /Type /StructElem - /S /TD - /P 120 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [60] - /Pg 221 0 R + /S /TR + /P 121 0 R + /K [124 0 R 123 0 R] >> endobj @@ -1632,7 +1535,7 @@ endobj << /Type /StructElem /S /TD - /P 120 0 R + /P 122 0 R /A [<< /O /Table /Headers [] @@ -1640,25 +1543,16 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [59] - /Pg 221 0 R + /K [68] + /Pg 403 0 R >> endobj 124 0 obj -<< - /Type /StructElem - /S /TR - /P 111 0 R - /K [127 0 R 126 0 R 125 0 R] ->> -endobj - -125 0 obj << /Type /StructElem /S /TD - /P 124 0 R + /P 122 0 R /A [<< /O /Table /Headers [] @@ -1666,8 +1560,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [58] - /Pg 221 0 R + /K [67] + /Pg 403 0 R +>> +endobj + +125 0 obj +<< + /Type /StructElem + /S /TR + /P 121 0 R + /K [127 0 R 126 0 R] >> endobj @@ -1675,7 +1578,7 @@ endobj << /Type /StructElem /S /TD - /P 124 0 R + /P 125 0 R /A [<< /O /Table /Headers [] @@ -1683,8 +1586,8 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [57] - /Pg 221 0 R + /K [66] + /Pg 403 0 R >> endobj @@ -1692,7 +1595,7 @@ endobj << /Type /StructElem /S /TD - /P 124 0 R + /P 125 0 R /A [<< /O /Table /Headers [] @@ -1700,8 +1603,8 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [56] - /Pg 221 0 R + /K [65] + /Pg 403 0 R >> endobj @@ -1709,8 +1612,8 @@ endobj << /Type /StructElem /S /TR - /P 111 0 R - /K [133 0 R 131 0 R 129 0 R] + /P 121 0 R + /K [131 0 R 129 0 R] >> endobj @@ -1735,8 +1638,8 @@ endobj /Type /StructElem /S /Formula /P 129 0 R - /K [53 54 55] - /Pg 221 0 R + /K [58 59 60 61 62 63 64] + /Pg 403 0 R >> endobj @@ -1761,43 +1664,45 @@ endobj /Type /StructElem /S /Formula /P 131 0 R - /K [52] - /Pg 221 0 R + /K [57] + /Pg 403 0 R >> endobj 133 0 obj << /Type /StructElem - /S /TD - /P 128 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [134 0 R] + /S /Caption + /P 121 0 R + /K [136 0 R 135 0 R 134 0 R] >> endobj 134 0 obj << /Type /StructElem - /S /Formula + /S /Span /P 133 0 R - /K [51] - /Pg 221 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [77] + /Pg 403 0 R >> endobj 135 0 obj << /Type /StructElem - /S /Caption - /P 111 0 R - /K [138 0 R 137 0 R 136 0 R] + /S /Formula + /P 133 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [70 71 72 73 74 75 76] + /Pg 403 0 R >> endobj @@ -1805,72 +1710,61 @@ endobj << /Type /StructElem /S /Span - /P 135 0 R + /P 133 0 R /A [<< /O /Layout /Placement /Block >>] - /K [70] - /Pg 221 0 R + /K [69] + /Pg 403 0 R >> endobj 137 0 obj << /Type /StructElem - /S /Formula - /P 135 0 R + /S /Table + /P 14 0 R /A [<< /O /Layout - /Placement /Block + /BorderColor [0 0 0] + /BorderThickness 1 >>] - /K [69] - /Pg 221 0 R + /K [149 0 R 144 0 R 141 0 R 138 0 R] >> endobj 138 0 obj << /Type /StructElem - /S /Span - /P 135 0 R - /A [<< - /O /Layout - /Placement /Block - >>] - /K [68] - /Pg 221 0 R + /S /TR + /P 137 0 R + /K [140 0 R 139 0 R] >> endobj 139 0 obj << /Type /StructElem - /S /Table - /P 9 0 R + /S /TD + /P 138 0 R /A [<< + /O /Table + /Headers [] + >> << /O /Layout - /BorderColor [0 0 0] - /BorderThickness 1 + /BorderStyle /Solid >>] - /K [163 0 R 156 0 R 152 0 R 148 0 R 144 0 R 140 0 R] + /K [48] + /Pg 403 0 R >> endobj 140 0 obj -<< - /Type /StructElem - /S /TR - /P 139 0 R - /K [143 0 R 142 0 R 141 0 R] ->> -endobj - -141 0 obj << /Type /StructElem /S /TD - /P 140 0 R + /P 138 0 R /A [<< /O /Table /Headers [] @@ -1879,7 +1773,16 @@ endobj /BorderStyle /Solid >>] /K [47] - /Pg 221 0 R + /Pg 403 0 R +>> +endobj + +141 0 obj +<< + /Type /StructElem + /S /TR + /P 137 0 R + /K [143 0 R 142 0 R] >> endobj @@ -1887,7 +1790,7 @@ endobj << /Type /StructElem /S /TD - /P 140 0 R + /P 141 0 R /A [<< /O /Table /Headers [] @@ -1896,7 +1799,7 @@ endobj /BorderStyle /Solid >>] /K [46] - /Pg 221 0 R + /Pg 403 0 R >> endobj @@ -1904,7 +1807,7 @@ endobj << /Type /StructElem /S /TD - /P 140 0 R + /P 141 0 R /A [<< /O /Table /Headers [] @@ -1913,7 +1816,7 @@ endobj /BorderStyle /Solid >>] /K [45] - /Pg 221 0 R + /Pg 403 0 R >> endobj @@ -1921,8 +1824,8 @@ endobj << /Type /StructElem /S /TR - /P 139 0 R - /K [147 0 R 146 0 R 145 0 R] + /P 137 0 R + /K [147 0 R 145 0 R] >> endobj @@ -1938,25 +1841,17 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [44] - /Pg 221 0 R + /K [146 0 R] >> endobj 146 0 obj << /Type /StructElem - /S /TD - /P 144 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [43] - /Pg 221 0 R + /S /Formula + /P 145 0 R + /K [39 40 41 42 43 44] + /Pg 403 0 R >> endobj @@ -1972,111 +1867,91 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [42] - /Pg 221 0 R + /K [148 0 R] >> endobj 148 0 obj << /Type /StructElem - /S /TR - /P 139 0 R - /K [151 0 R 150 0 R 149 0 R] + /S /Formula + /P 147 0 R + /K [38] + /Pg 403 0 R >> endobj 149 0 obj << /Type /StructElem - /S /TD - /P 148 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [41] - /Pg 221 0 R + /S /Caption + /P 137 0 R + /K [152 0 R 151 0 R 150 0 R] >> endobj 150 0 obj << /Type /StructElem - /S /TD - /P 148 0 R + /S /Span + /P 149 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [40] - /Pg 221 0 R + /K [56] + /Pg 403 0 R >> endobj 151 0 obj << /Type /StructElem - /S /TD - /P 148 0 R + /S /Formula + /P 149 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /Placement /Block >>] - /K [39] - /Pg 221 0 R + /K [50 51 52 53 54 55] + /Pg 403 0 R >> endobj 152 0 obj << /Type /StructElem - /S /TR - /P 139 0 R - /K [155 0 R 154 0 R 153 0 R] + /S /Span + /P 149 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [49] + /Pg 403 0 R >> endobj 153 0 obj << /Type /StructElem - /S /TD - /P 152 0 R + /S /Table + /P 14 0 R /A [<< - /O /Table - /Headers [] - >> << /O /Layout - /BorderStyle /Solid + /BorderColor [0 0 0] + /BorderThickness 1 >>] - /K [38] - /Pg 221 0 R + /K [177 0 R 170 0 R 166 0 R 162 0 R 158 0 R 154 0 R] >> endobj 154 0 obj << /Type /StructElem - /S /TD - /P 152 0 R - /A [<< - /O /Table - /Headers [] - >> << - /O /Layout - /BorderStyle /Solid - >>] - /K [37] - /Pg 221 0 R + /S /TR + /P 153 0 R + /K [157 0 R 156 0 R 155 0 R] >> endobj @@ -2084,7 +1959,634 @@ endobj << /Type /StructElem /S /TD - /P 152 0 R + /P 154 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [24] + /Pg 403 0 R +>> +endobj + +156 0 obj +<< + /Type /StructElem + /S /TD + /P 154 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [23] + /Pg 403 0 R +>> +endobj + +157 0 obj +<< + /Type /StructElem + /S /TD + /P 154 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [22] + /Pg 403 0 R +>> +endobj + +158 0 obj +<< + /Type /StructElem + /S /TR + /P 153 0 R + /K [161 0 R 160 0 R 159 0 R] +>> +endobj + +159 0 obj +<< + /Type /StructElem + /S /TD + /P 158 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [21] + /Pg 403 0 R +>> +endobj + +160 0 obj +<< + /Type /StructElem + /S /TD + /P 158 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [20] + /Pg 403 0 R +>> +endobj + +161 0 obj +<< + /Type /StructElem + /S /TD + /P 158 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [19] + /Pg 403 0 R +>> +endobj + +162 0 obj +<< + /Type /StructElem + /S /TR + /P 153 0 R + /K [165 0 R 164 0 R 163 0 R] +>> +endobj + +163 0 obj +<< + /Type /StructElem + /S /TD + /P 162 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [18] + /Pg 403 0 R +>> +endobj + +164 0 obj +<< + /Type /StructElem + /S /TD + /P 162 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [17] + /Pg 403 0 R +>> +endobj + +165 0 obj +<< + /Type /StructElem + /S /TD + /P 162 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [16] + /Pg 403 0 R +>> +endobj + +166 0 obj +<< + /Type /StructElem + /S /TR + /P 153 0 R + /K [169 0 R 168 0 R 167 0 R] +>> +endobj + +167 0 obj +<< + /Type /StructElem + /S /TD + /P 166 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [15] + /Pg 403 0 R +>> +endobj + +168 0 obj +<< + /Type /StructElem + /S /TD + /P 166 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [14] + /Pg 403 0 R +>> +endobj + +169 0 obj +<< + /Type /StructElem + /S /TD + /P 166 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [13] + /Pg 403 0 R +>> +endobj + +170 0 obj +<< + /Type /StructElem + /S /TR + /P 153 0 R + /K [175 0 R 173 0 R 171 0 R] +>> +endobj + +171 0 obj +<< + /Type /StructElem + /S /TD + /P 170 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [172 0 R] +>> +endobj + +172 0 obj +<< + /Type /StructElem + /S /Formula + /P 171 0 R + /K [2 3 4 5 6 7 8 9 10 11 12] + /Pg 403 0 R +>> +endobj + +173 0 obj +<< + /Type /StructElem + /S /TD + /P 170 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [174 0 R] +>> +endobj + +174 0 obj +<< + /Type /StructElem + /S /Formula + /P 173 0 R + /K [1] + /Pg 403 0 R +>> +endobj + +175 0 obj +<< + /Type /StructElem + /S /TD + /P 170 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [176 0 R] +>> +endobj + +176 0 obj +<< + /Type /StructElem + /S /Formula + /P 175 0 R + /K [0] + /Pg 403 0 R +>> +endobj + +177 0 obj +<< + /Type /StructElem + /S /Caption + /P 153 0 R + /K [180 0 R 179 0 R 178 0 R] +>> +endobj + +178 0 obj +<< + /Type /StructElem + /S /Span + /P 177 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [37] + /Pg 403 0 R +>> +endobj + +179 0 obj +<< + /Type /StructElem + /S /Formula + /P 177 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [26 27 28 29 30 31 32 33 34 35 36] + /Pg 403 0 R +>> +endobj + +180 0 obj +<< + /Type /StructElem + /S /Span + /P 177 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [25] + /Pg 403 0 R +>> +endobj + +181 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [80 81] + /Pg 401 0 R +>> +endobj + +182 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [71 72 73 74 75 76 77 78 79] + /Pg 401 0 R +>> +endobj + +183 0 obj +<< + /Type /StructElem + /S /H3 + /P 14 0 R + /T + /K [70] + /Pg 401 0 R +>> +endobj + +184 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [58 59 60 61 62 63 64 65 66 67 68 69] + /Pg 401 0 R +>> +endobj + +185 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [57] + /Pg 401 0 R +>> +endobj + +186 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [47 48 49 50 51 52 53 54 55 56] + /Pg 401 0 R +>> +endobj + +187 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [46] + /Pg 401 0 R +>> +endobj + +188 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [36 37 38 39 40 41 42 43 44 45] + /Pg 401 0 R +>> +endobj + +189 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [35] + /Pg 401 0 R +>> +endobj + +190 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [21 22 23 24 25 26 27 28 29 30 31 32 33 34] + /Pg 401 0 R +>> +endobj + +191 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [20] + /Pg 401 0 R +>> +endobj + +192 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [10 11 12 13 14 15 16 17 18 19] + /Pg 401 0 R +>> +endobj + +193 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [9] + /Pg 401 0 R +>> +endobj + +194 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [2 3 4 5 6 7 8] + /Pg 401 0 R +>> +endobj + +195 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [1] + /Pg 401 0 R +>> +endobj + +196 0 obj +<< + /Type /StructElem + /S /H3 + /P 14 0 R + /T + /K [0] + /Pg 401 0 R +>> +endobj + +197 0 obj +<< + /Type /StructElem + /S /Formula + /P 14 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [57 58 59 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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158] + /Pg 399 0 R +>> +endobj + +198 0 obj +<< + /Type /StructElem + /S /P + /P 14 0 R + /K [41 199 0 R] + /Pg 399 0 R +>> +endobj + +199 0 obj +<< + /Type /StructElem + /S /Formula + /P 198 0 R + /K [42 43 44 45 46 47 48 49 50 51 52 53 54 55 56] + /Pg 399 0 R +>> +endobj + +200 0 obj +<< + /Type /StructElem + /S /H3 + /P 14 0 R + /T + /K [40] + /Pg 399 0 R +>> +endobj + +201 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [225 0 R 218 0 R 214 0 R 210 0 R 206 0 R 202 0 R] +>> +endobj + +202 0 obj +<< + /Type /StructElem + /S /TR + /P 201 0 R + /K [205 0 R 204 0 R 203 0 R] +>> +endobj + +203 0 obj +<< + /Type /StructElem + /S /TD + /P 202 0 R /A [<< /O /Table /Headers [] @@ -2093,24 +2595,58 @@ endobj /BorderStyle /Solid >>] /K [36] - /Pg 221 0 R + /Pg 399 0 R >> endobj -156 0 obj +204 0 obj +<< + /Type /StructElem + /S /TD + /P 202 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [35] + /Pg 399 0 R +>> +endobj + +205 0 obj +<< + /Type /StructElem + /S /TD + /P 202 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [34] + /Pg 399 0 R +>> +endobj + +206 0 obj << /Type /StructElem /S /TR - /P 139 0 R - /K [161 0 R 159 0 R 157 0 R] + /P 201 0 R + /K [209 0 R 208 0 R 207 0 R] >> endobj -157 0 obj +207 0 obj << /Type /StructElem /S /TD - /P 156 0 R + /P 206 0 R /A [<< /O /Table /Headers [] @@ -2118,25 +2654,16 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [158 0 R] + /K [33] + /Pg 399 0 R >> endobj -158 0 obj -<< - /Type /StructElem - /S /Formula - /P 157 0 R - /K [33 34 35] - /Pg 221 0 R ->> -endobj - -159 0 obj +208 0 obj << /Type /StructElem /S /TD - /P 156 0 R + /P 206 0 R /A [<< /O /Table /Headers [] @@ -2144,25 +2671,16 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [160 0 R] ->> -endobj - -160 0 obj -<< - /Type /StructElem - /S /Formula - /P 159 0 R /K [32] - /Pg 221 0 R + /Pg 399 0 R >> endobj -161 0 obj +209 0 obj << /Type /StructElem /S /TD - /P 156 0 R + /P 206 0 R /A [<< /O /Table /Headers [] @@ -2170,389 +2688,2155 @@ endobj /O /Layout /BorderStyle /Solid >>] - /K [162 0 R] + /K [31] + /Pg 399 0 R >> endobj -162 0 obj +210 0 obj +<< + /Type /StructElem + /S /TR + /P 201 0 R + /K [213 0 R 212 0 R 211 0 R] +>> +endobj + +211 0 obj +<< + /Type /StructElem + /S /TD + /P 210 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [30] + /Pg 399 0 R +>> +endobj + +212 0 obj +<< + /Type /StructElem + /S /TD + /P 210 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [29] + /Pg 399 0 R +>> +endobj + +213 0 obj +<< + /Type /StructElem + /S /TD + /P 210 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [28] + /Pg 399 0 R +>> +endobj + +214 0 obj +<< + /Type /StructElem + /S /TR + /P 201 0 R + /K [217 0 R 216 0 R 215 0 R] +>> +endobj + +215 0 obj +<< + /Type /StructElem + /S /TD + /P 214 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [27] + /Pg 399 0 R +>> +endobj + +216 0 obj +<< + /Type /StructElem + /S /TD + /P 214 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [26] + /Pg 399 0 R +>> +endobj + +217 0 obj +<< + /Type /StructElem + /S /TD + /P 214 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [25] + /Pg 399 0 R +>> +endobj + +218 0 obj +<< + /Type /StructElem + /S /TR + /P 201 0 R + /K [223 0 R 221 0 R 219 0 R] +>> +endobj + +219 0 obj +<< + /Type /StructElem + /S /TD + /P 218 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [220 0 R] +>> +endobj + +220 0 obj << /Type /StructElem /S /Formula - /P 161 0 R - /K [31] - /Pg 221 0 R + /P 219 0 R + /K [22 23 24] + /Pg 399 0 R >> endobj -163 0 obj +221 0 obj +<< + /Type /StructElem + /S /TD + /P 218 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [222 0 R] +>> +endobj + +222 0 obj +<< + /Type /StructElem + /S /Formula + /P 221 0 R + /K [21] + /Pg 399 0 R +>> +endobj + +223 0 obj +<< + /Type /StructElem + /S /TD + /P 218 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [224 0 R] +>> +endobj + +224 0 obj +<< + /Type /StructElem + /S /Formula + /P 223 0 R + /K [20] + /Pg 399 0 R +>> +endobj + +225 0 obj << /Type /StructElem /S /Caption - /P 139 0 R - /K [166 0 R 165 0 R 164 0 R] + /P 201 0 R + /K [228 0 R 227 0 R 226 0 R] >> endobj -164 0 obj +226 0 obj << /Type /StructElem /S /Span - /P 163 0 R + /P 225 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [39] + /Pg 399 0 R +>> +endobj + +227 0 obj +<< + /Type /StructElem + /S /Formula + /P 225 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [38] + /Pg 399 0 R +>> +endobj + +228 0 obj +<< + /Type /StructElem + /S /Span + /P 225 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [37] + /Pg 399 0 R +>> +endobj + +229 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [253 0 R 246 0 R 242 0 R 238 0 R 234 0 R 230 0 R] +>> +endobj + +230 0 obj +<< + /Type /StructElem + /S /TR + /P 229 0 R + /K [233 0 R 232 0 R 231 0 R] +>> +endobj + +231 0 obj +<< + /Type /StructElem + /S /TD + /P 230 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [16] + /Pg 399 0 R +>> +endobj + +232 0 obj +<< + /Type /StructElem + /S /TD + /P 230 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [15] + /Pg 399 0 R +>> +endobj + +233 0 obj +<< + /Type /StructElem + /S /TD + /P 230 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [14] + /Pg 399 0 R +>> +endobj + +234 0 obj +<< + /Type /StructElem + /S /TR + /P 229 0 R + /K [237 0 R 236 0 R 235 0 R] +>> +endobj + +235 0 obj +<< + /Type /StructElem + /S /TD + /P 234 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [13] + /Pg 399 0 R +>> +endobj + +236 0 obj +<< + /Type /StructElem + /S /TD + /P 234 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [12] + /Pg 399 0 R +>> +endobj + +237 0 obj +<< + /Type /StructElem + /S /TD + /P 234 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [11] + /Pg 399 0 R +>> +endobj + +238 0 obj +<< + /Type /StructElem + /S /TR + /P 229 0 R + /K [241 0 R 240 0 R 239 0 R] +>> +endobj + +239 0 obj +<< + /Type /StructElem + /S /TD + /P 238 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [10] + /Pg 399 0 R +>> +endobj + +240 0 obj +<< + /Type /StructElem + /S /TD + /P 238 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [9] + /Pg 399 0 R +>> +endobj + +241 0 obj +<< + /Type /StructElem + /S /TD + /P 238 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [8] + /Pg 399 0 R +>> +endobj + +242 0 obj +<< + /Type /StructElem + /S /TR + /P 229 0 R + /K [245 0 R 244 0 R 243 0 R] +>> +endobj + +243 0 obj +<< + /Type /StructElem + /S /TD + /P 242 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [7] + /Pg 399 0 R +>> +endobj + +244 0 obj +<< + /Type /StructElem + /S /TD + /P 242 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [6] + /Pg 399 0 R +>> +endobj + +245 0 obj +<< + /Type /StructElem + /S /TD + /P 242 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [5] + /Pg 399 0 R +>> +endobj + +246 0 obj +<< + /Type /StructElem + /S /TR + /P 229 0 R + /K [251 0 R 249 0 R 247 0 R] +>> +endobj + +247 0 obj +<< + /Type /StructElem + /S /TD + /P 246 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [248 0 R] +>> +endobj + +248 0 obj +<< + /Type /StructElem + /S /Formula + /P 247 0 R + /K [2 3 4] + /Pg 399 0 R +>> +endobj + +249 0 obj +<< + /Type /StructElem + /S /TD + /P 246 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [250 0 R] +>> +endobj + +250 0 obj +<< + /Type /StructElem + /S /Formula + /P 249 0 R + /K [1] + /Pg 399 0 R +>> +endobj + +251 0 obj +<< + /Type /StructElem + /S /TD + /P 246 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [252 0 R] +>> +endobj + +252 0 obj +<< + /Type /StructElem + /S /Formula + /P 251 0 R + /K [0] + /Pg 399 0 R +>> +endobj + +253 0 obj +<< + /Type /StructElem + /S /Caption + /P 229 0 R + /K [256 0 R 255 0 R 254 0 R] +>> +endobj + +254 0 obj +<< + /Type /StructElem + /S /Span + /P 253 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [19] + /Pg 399 0 R +>> +endobj + +255 0 obj +<< + /Type /StructElem + /S /Formula + /P 253 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [18] + /Pg 399 0 R +>> +endobj + +256 0 obj +<< + /Type /StructElem + /S /Span + /P 253 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [17] + /Pg 399 0 R +>> +endobj + +257 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [281 0 R 274 0 R 270 0 R 266 0 R 262 0 R 258 0 R] +>> +endobj + +258 0 obj +<< + /Type /StructElem + /S /TR + /P 257 0 R + /K [261 0 R 260 0 R 259 0 R] +>> +endobj + +259 0 obj +<< + /Type /StructElem + /S /TD + /P 258 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [87] + /Pg 397 0 R +>> +endobj + +260 0 obj +<< + /Type /StructElem + /S /TD + /P 258 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [86] + /Pg 397 0 R +>> +endobj + +261 0 obj +<< + /Type /StructElem + /S /TD + /P 258 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [85] + /Pg 397 0 R +>> +endobj 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275 0 R] +>> +endobj + +275 0 obj +<< + /Type /StructElem + /S /TD + /P 274 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [276 0 R] +>> +endobj + +276 0 obj +<< + /Type /StructElem + /S /Formula + /P 275 0 R + /K [73 74 75] + /Pg 397 0 R +>> +endobj + +277 0 obj +<< + /Type /StructElem + /S /TD + /P 274 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [278 0 R] +>> +endobj + +278 0 obj +<< + /Type /StructElem + /S /Formula + /P 277 0 R + /K [72] + /Pg 397 0 R +>> +endobj + +279 0 obj +<< + /Type /StructElem + /S /TD + /P 274 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [280 0 R] +>> +endobj + +280 0 obj +<< + /Type /StructElem + /S /Formula + /P 279 0 R + /K [71] + /Pg 397 0 R +>> +endobj + +281 0 obj +<< + /Type /StructElem + /S /Caption + /P 257 0 R + /K [284 0 R 283 0 R 282 0 R] +>> +endobj + +282 0 obj +<< + /Type /StructElem + /S /Span + /P 281 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [90] + /Pg 397 0 R +>> +endobj + +283 0 obj +<< + /Type /StructElem + /S /Formula + /P 281 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [89] + /Pg 397 0 R +>> +endobj + +284 0 obj +<< + /Type /StructElem + /S /Span + /P 281 0 R + /A [<< + /O /Layout + /Placement /Block + >>] + /K [88] + /Pg 397 0 R +>> +endobj + +285 0 obj +<< + /Type /StructElem + /S /Table + /P 14 0 R + /A [<< + /O /Layout + /BorderColor [0 0 0] + /BorderThickness 1 + >>] + /K [309 0 R 302 0 R 298 0 R 294 0 R 290 0 R 286 0 R] +>> +endobj + +286 0 obj +<< + /Type /StructElem + /S /TR + /P 285 0 R + /K [289 0 R 288 0 R 287 0 R] +>> +endobj + +287 0 obj +<< + /Type /StructElem + /S /TD + /P 286 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + >>] + /K [67] + /Pg 397 0 R +>> +endobj + +288 0 obj +<< + /Type /StructElem + /S /TD + /P 286 0 R + /A [<< + /O /Table + /Headers [] + >> << + /O /Layout + /BorderStyle /Solid + 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00000 n +0000095510 00000 n +0000095637 00000 n +0000096723 00000 n trailer << - /Size 230 - /Root 229 0 R - /Info 227 0 R - /ID [(52SQnUd6OO8O6LlvFJSWuw==) (52SQnUd6OO8O6LlvFJSWuw==)] + /Size 412 + /Root 411 0 R + /Info 409 0 R + /ID [(vFtJfSJ8wf0e8uQsDPKIfg==) (vFtJfSJ8wf0e8uQsDPKIfg==)] >> startxref -54399 +96960 %%EOF \ No newline at end of file diff --git a/logic/notes.typ b/logic/notes.typ new file mode 100644 index 0000000..67c0b86 --- /dev/null +++ b/logic/notes.typ @@ -0,0 +1,259 @@ +#set text(size: 1.5em, font: "Maple Mono") + + +0. отрицание - $not$ +1. сильная дизъюнкция - $eq.triple.not " или " or.double$ +2. конъюнкция - $and$ +3. дизъюнкция - $or$ +4. эквивалентность - $eq.triple$ +5. импликация - $arrow " или " subset$ + +$ +1 and 0 eq 0 +$ + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$a and b$][0][0][0][0][1][0][1][0][0][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $and$.] + ) +] + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$a or b$][0][0][0][0][1][1][1][0][1][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $or$.] + ) +] + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$a eq.triple b$][0][0][1][0][1][0][1][0][0][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $eq.triple$.] + ) +] + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$a arrow.double.not b$][0][0][0][0][1][1][1][0][1][1][1][0], + supplement: [Табл.], + caption: [Таблица истинности для $arrow.double.not$.] + ) +] + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$a arrow b$][0][0][1][0][1][1][1][0][0][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $arrow$.] + ) +] + +=== Задачи + +Пусть $a eq 1, b eq 0, c eq 1, d eq 0$ + +$ +a and b eq 0 \ +a or b and c eq 1 \ +a eq.triple b eq 0 \ +a xor b eq 1 \ +a arrow b eq 0 \ +(a and b) or c eq 1 \ +a xor (b or c) eq 1 \ +(a arrow b) eq.triple c eq 0 \ +(a and c) arrow (b xor c) eq 1 \ +((a xor b) and (c arrow d)) or (a eq.triple d) eq 0 \ +a and b eq.triple c eq 0 \ +a or b xor c eq 1 +$ + +=== Законы + + +Закон двойного отрицания +$ +not (not A) eq A \ +$ + +Закон идемпотентности +$ +A or A eq A \ +A and A eq A \ +$ + +Закон коммутативности +$ +A or B eq B or A \ +A and B eq B and A +$ + +Нейтральные элементы +$ +A and 1 eq A \ +A or 0 eq A +$ + +Абсорбирующие элементы +$ +A and 0 eq 0 \ +A or 1 eq 1 +$ + +Законы отрицания +$ +A and not A eq ? \ +A or not A eq ? +$ + +=== Еще примеры + +$ +A or (A and B) eq A + +/* +A and (A or B) + +A or ¬A + +A and ¬A + +¬(¬A) + +(A or B) and A + +A or (B or A) + +(A and B) or B eq ? +*/ +$ + +Составить таблицы истинности для следующих функций: + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$((a arrow b) and b) arrow a$][0][0][1][0][1][0][1][0][1][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $((a arrow b) and b) arrow a$.] + ) +] + +#align(center)[ + #figure( + table(columns: 2)[$a$][$A or (not A)$][0][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $A or (not A)$.] + ) +] + + +#align(center)[ + #figure( + table(columns: 2)[$a$][$not (not A arrow.l.r A)$][0][0][1][0], + supplement: [Табл.], + caption: [Таблица истинности для $not (not A arrow.l.r A)$.] + ) +] + +#align(center)[ + #figure( + table(columns: 2)[$p$][$p and (not p)$][0][0][1][0], + supplement: [Табл.], + caption: [Таблица истинности для $p and (not p)$.] + ) +] + +Задание 3. + +$ +C eq 0 \ +A or B or C eq A or B or 0 eq A or B eq 1 arrow.double A eq 1 " или " B eq 1 \ +A arrow (D or not D) eq A arrow 0 eq 1 arrow.double A eq 0 \ +B arrow (E and not E) eq B arrow 0 eq 1 arrow.double B eq 0 \ +A eq 1 " или " B eq 1, space.quad A eq 0 " и " B eq 0 arrow.double "противоречие" arrow.double C eq 1 +$ + + + + +=== Вариант 2 + +Пусть $A$ - ложь (0), $B$ - истина (1). + +$ +A arrow B eq 1 +B arrow A eq 0 +not A arrow B eq 1 +not B arrow A eq 1 +not B arrow not A eq 1 +not A arrow not B eq 0 +$ + +Пусть $P eq 1, Q eq 0, R eq 0, S eq 1$: + +$ +R and S arrow (R arrow not Q or S) \ +0 and 1 arrow (0 arrow 1 or 1) \ +0 arrow (0 arrow 1) \ +0 arrow 1 \ +1 +$ + +$ +P or R eq.triple R and not S \ +1 or 0 eq.triple 0 and not 1 \ +1 or 0 eq.triple 0 and 0 \ +1 eq.triple 0 \ +0 +$ + +Составить таблицы истинности для следующих функций: + +#align(center)[ + #figure( + table(columns: 2)[$P$][$(P arrow not P) and (not P arrow P)$][0][0][1][0], + supplement: [Табл.], + caption: [Таблица истинности для $(P arrow not P) and (not P arrow P)$.] + ) +] + +#align(center)[ + #figure( + table(columns: 3)[$a$][$b$][$A and (A or B) eq.triple A $][0][0][1][0][1][1][1][0][1][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $A and (A or B) eq.triple A $.] + ) +] + + + + + +#align(center)[ + #figure( + table(columns: 2)[$p$][$p or (not p)$][0][1][1][1], + supplement: [Табл.], + caption: [Таблица истинности для $p or (not p)$.] + ) +] + + + +#align(center)[ + #figure( + table(columns: 2)[$p$][$p and (not p)$][0][0][1][0], + supplement: [Табл.], + caption: [Таблица истинности для $p and (not p)$.] + ) +] + +Задание 3 + +$ +not Q and R eq 1 arrow.double Q eq 0 \ +P arrow Q eq 1 arrow.double P arrow 0 eq 1 arrow.double P eq 0 \ +P eq 0 +$