reference/ocr-new/4
author viric@llimona
Thu, 18 May 2006 23:12:51 +0200
changeset 0 6b8091ca909a
permissions -rw-r--r--
Init from working directory of svn repository.
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654  164 217 211 236  212 217 164 236
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THE  659 211 727 233  728 211 659 233
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AMERICAN  738 211 928 233  929 211 738 233
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ECONOMIC  938 211 1131 233  1132 211 938 233
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REVIEW  1142 212 1286 235  1287 212 1142 235
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SEPTEMBER  1557 217 1766 239  1768 217 1557 239
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1980  1781 220 1846 239  1847 220 1781 239
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dispersion  161 307 340 344  341 307 160 343
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and  356 307 418 336  419 307 356 336
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models  434 307 557 336  558 307 434 336
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of  574 307 608 336  609 307 574 336
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temporal  624 308 780 346  781 308 623 344
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price  796 308 882 346  883 308 794 344
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dis  898 308 937 337  938 308 898 337
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-  938 317 959 337  960 317 938 337
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persion.  161 355 296 393  297 355 160 392
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Most  315 355 403 385  405 355 315 385
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models  420 355 543 385  544 355 420 385
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of  559 355 591 385  592 355 559 385
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spatial  608 356 721 394  722 356 607 393
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price  739 356 824 394  825 356 738 393
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disper  840 356 937 394  938 356 839 393
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-  938 366 959 386  960 366 938 386
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sion,  161 400 240 429  242 400 161 429
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such  259 400 336 429  337 400 259 429
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as  355 409 388 429  389 409 355 429
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the  407 400 457 429  458 400 407 429
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Salop-Stiglitz  475 400 711 438  712 400 474 437
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model  728 401 837 431  838 401 728 431
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or  855 411 889 431  890 411 855 431
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the  907 401 959 431  960 401 907 431
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Wilde-Schwartz  160 445 439 474  440 445 160 474
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model,  458 445 576 474  577 445 458 474
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have  597 446 675 475  676 446 597 475
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equilibria  695 446 864 484  865 446 694 483
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with  883 446 957 475  959 446 883 475
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specific  160 491 290 529  291 491 159 527
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prices  314 491 414 529  415 491 312 527
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being  439 491 535 529  536 491 438 527
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charged  559 491 698 529  699 491 558 527
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with  724 492 797 522  798 492 724 522
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positive  823 492 957 530  959 492 822 529
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probability  159 537 354 575  355 537 158 574
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mass.  367 546 459 566  460 546 367 566
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The  473 537 540 566  542 537 473 566
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a  555 546 555 566  555 546 555 566
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?  555 546 575 566  576 546 555 566
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bove  576 537 657 566  659 537 576 566
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argument  672 538 840 576  842 538 670 575
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shows  855 538 957 568  959 538 855 568
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that  160 583 227 612  229 583 160 612
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such  253 583 330 612  331 583 253 612
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strategies  357 583 517 621  518 583 356 621
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cannot  544 583 664 612  666 583 544 612
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be  690 584 729 614  731 584 690 614
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profit-max  757 584 935 622  936 584 755 622
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-  936 594 956 614  957 594 936 614
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imizing  160 630 289 668  290 630 159 668
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Nash  311 630 401 660  402 630 311 660
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behavior  426 630 581 660  582 630 426 660
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in  604 631 635 661  636 631 604 661
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a  660 641 677 661  679 641 660 661
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temporal  705 631 862 669  863 631 703 669
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ran  888 641 936 661  937 641 888 661
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-  937 641 957 661  959 641 937 661
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domizing  160 677 322 715  323 677 159 715
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model.  340 677 454 707  455 677 340 707
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Since  203 724 294 753  295 724 203 753
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there  322 724 407 753  408 724 322 753
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are  434 733 485 753  486 733 434 753
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no  513 733 555 753  556 733 513 753
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point  582 724 673 761  674 724 581 761
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masses  701 734 819 754  820 734 701 754
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in  849 725 878 754  879 725 849 754
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the  907 725 957 754  959 725 907 754
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equilibrium  160 768 363 806  364 768 159 806
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density,  380 768 512 806  513 768 379 806
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the  531 768 582 798  583 768 531 798
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cumulative  600 770 792 799  793 770 600 799
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distribu  810 770 936 799  937 770 810 799
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-  937 779 957 799  959 779 937 799
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tion  161 814 226 844  227 814 161 844
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function  248 814 394 844  395 814 248 844
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will  415 814 475 844  477 814 415 844
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be  497 814 535 844  536 814 497 844
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a  557 824 572 844  574 824 557 844
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continuous  594 814 788 844  790 814 594 844
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function  811 816 957 845  959 816 811 845
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on  159 870 201 890  203 870 159 890
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(p  222 871 248 898  249 871 220 898
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*  249 870 269 890  270 870 249 890
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,  270 871 292 890  294 871 270 890
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r).  308 871 348 890  349 871 308 890
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Let  370 861 425 890  426 861 370 890
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F(p)  445 863 530 898  531 863 444 898
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be  551 861 589 890  590 861 551 890
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the  610 862 660 891  661 862 610 891
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cumulative  681 862 876 891  877 862 681 891
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dis  895 862 935 891  936 862 895 891
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-  936 871 956 891  957 871 936 891
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tribution  160 905 314 935  315 905 160 935
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function  348 905 493 935  494 905 348 935
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for  526 905 576 935  577 905 526 935
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f(p);  602 909 695 944  696 909 601 944
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thus  735 907 805 936  806 907 735 936
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f(p)=  833 907 950 944  951 907 832 944
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F‚(  160 951 210 981  211 951 160 981
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p)  218 962 257 989  258 962 217 989
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almost  275 951 390 981  392 951 275 981
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everywhere.  408 951 615 989  616 951 407 989
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We  201 998 257 1027  258 998 201 1027
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can  275 1007 334 1027  335 1007 275 1027
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now  351 1007 422 1027  424 1007 351 1027
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construct  440 998 602 1027  603 998 440 1027
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the  620 998 672 1027  673 998 620 1027
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expected  689 999 843 1037  844 999 688 1037
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profit  861 999 956 1037  957 999 859 1037
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function  160 1042 305 1072  307 1042 160 1072
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for  328 1042 376 1072  377 1042 328 1072
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a  396 1052 413 1072  414 1052 396 1072
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representative  434 1042 680 1080  681 1042 433 1080
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store.  701 1044 793 1073  794 1044 701 1073
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When  816 1044 918 1073  920 1044 816 1073
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a  940 1053 956 1073  957 1053 940 1073
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store  161 1088 244 1118  245 1088 161 1118
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charges  262 1088 392 1126  393 1088 261 1126
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price  409 1088 493 1126  494 1088 408 1126
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p,  504 1099 538 1126  539 1099 503 1126
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exactly  557 1088 681 1126  682 1088 556 1126
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two  700 1090 761 1119  762 1090 700 1119
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viric@llimona
parents:
diff changeset
   152
events  779 1090 889 1119  890 1090 779 1119
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   153
are  907 1099 959 1119  960 1099 907 1119
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   154
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   155
relevant.  160 1135 309 1164  310 1135 160 1164
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   156
It  338 1135 364 1164  366 1135 338 1164
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   157
may  389 1144 461 1172  462 1144 388 1172
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   158
be  488 1135 526 1164  527 1135 488 1164
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   159
that  555 1135 621 1164  622 1135 555 1164
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   160
p  641 1146 661 1174  662 1146 640 1174
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   161
is  688 1136 713 1165  714 1136 688 1165
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   162
the  741 1136 792 1165  793 1136 741 1165
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   163
smallest  819 1136 959 1165  960 1136 819 1165
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   164
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   165
price  160 1181 245 1218  246 1181 159 1218
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   166
being  261 1181 356 1218  357 1181 259 1218
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   167
charged,  370 1181 517 1218  518 1181 369 1218
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   168
in  535 1181 565 1210  566 1181 535 1210
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   169
which  581 1181 683 1210  685 1181 581 1210
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   170
case,  701 1191 781 1211  783 1191 701 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   171
the  799 1182 851 1211  852 1182 799 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   172
given  866 1182 959 1220  960 1182 865 1220
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   173
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   174
store  161 1225 244 1255  245 1225 161 1255
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   175
gets  274 1225 338 1263  340 1225 272 1263
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   176
all  369 1225 407 1255  408 1225 369 1255
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   177
of  438 1225 470 1255  471 1225 438 1255
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   178
the  500 1225 551 1255  552 1225 500 1255
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   179
informed  582 1225 741 1255  742 1225 582 1255
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   180
customers.  772 1227 957 1256  959 1227 772 1256
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   181
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   182
This  160 1273 236 1302  237 1273 160 1302
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   183
event  266 1273 357 1302  359 1273 266 1302
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   184
happens  387 1273 531 1311  532 1273 386 1311
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   185
only  561 1273 635 1311  636 1273 559 1311
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   186
if  666 1274 688 1303  689 1274 666 1303
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   187
all  718 1274 757 1303  758 1274 718 1303
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   188
the  787 1274 839 1303  840 1274 787 1303
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   189
other  870 1274 960 1303  961 1274 870 1303
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   190
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   191
stores  160 1316 258 1346  259 1316 160 1346
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   192
charge  278 1316 393 1354  394 1316 277 1354
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   193
prices  412 1316 511 1354  512 1316 411 1354
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   194
higher  531 1316 641 1354  642 1316 530 1354
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   195
than  660 1318 738 1347  739 1318 660 1347
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   196
p,  752 1328 784 1355  785 1328 751 1355
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   197
an  805 1327 845 1347  846 1327 805 1347
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   198
event  865 1318 957 1347  959 1318 865 1347
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   199
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   200
which  160 1362 263 1392  264 1362 160 1392
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   201
has  281 1362 337 1392  338 1362 281 1392
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   202
probability  356 1362 550 1400  551 1362 355 1400
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   203
(1  568 1372 595 1392  596 1372 568 1392
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   204
…F(p))  610 1366 735 1401  737 1366 609 1401
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   205
?  737 1374 755 1393  757 1374 737 1393
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   206
?  757 1374 775 1393  777 1374 757 1393
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   207
‚.  777 1374 816 1393  817 1374 777 1393
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   208
On  837 1364 888 1393  889 1364 837 1393
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   209
the  907 1364 957 1393  959 1364 907 1393
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   210
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   211
other  160 1410 250 1439  251 1410 160 1439
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   212
hand,  268 1410 364 1439  366 1410 268 1439
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   213
there  386 1410 470 1439  471 1410 386 1439
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   214
may  488 1419 562 1448  563 1419 487 1448
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   215
be  579 1410 620 1439  621 1410 579 1439
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   216
some  638 1420 726 1440  727 1420 638 1440
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   217
store  746 1413 830 1440  831 1413 746 1440
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   218
with  848 1411 921 1440  922 1411 848 1440
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   219
a  940 1420 959 1440  960 1420 940 1440
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   220
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   221
lower  161 1453 256 1483  257 1453 161 1483
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   222
price,  274 1453 367 1491  368 1453 272 1491
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   223
in  386 1453 416 1483  418 1453 386 1483
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   224
which  434 1453 537 1483  538 1453 434 1483
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   225
case  556 1463 628 1483  629 1463 556 1483
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   226
the  647 1455 698 1484  699 1455 647 1484
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   227
store  716 1455 798 1484  799 1455 716 1484
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   228
in  818 1455 850 1484  851 1455 818 1484
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   229
ques  868 1464 936 1492  937 1464 866 1492
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   230
-  937 1464 957 1484  959 1464 937 1484
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   231
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   232
tion  162 1500 229 1529  230 1500 162 1529
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   233
only  252 1500 328 1537  329 1500 251 1537
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   234
gets  351 1500 416 1537  418 1500 350 1537
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   235
its  440 1500 478 1529  479 1500 440 1529
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   236
share  503 1500 592 1529  594 1500 503 1529
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   237
of  617 1501 650 1530  651 1501 617 1530
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   238
the  675 1501 727 1530  728 1501 675 1530
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   239
uninformed  753 1501 959 1530  960 1501 753 1530
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   240
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   241
customers.  161 1546 347 1575  348 1546 161 1575
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   242
This  370 1546 444 1575  445 1546 370 1575
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   243
event  466 1546 558 1575  559 1546 466 1575
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   244
happens  579 1546 725 1583  726 1546 578 1583
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   245
with  748 1547 822 1576  823 1547 748 1576
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   246
proba  844 1547 937 1585  938 1547 843 1585
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   247
-  938 1556 959 1576  960 1556 938 1576
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   248
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   249
bility  162 1593 251 1631  252 1593 161 1631
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   250
1  285 1602 294 1622  295 1602 285 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   251
…  308 1602 331 1622  333 1602 308 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   252
(1  342 1602 369 1622  370 1602 342 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   253
…  383 1602 407 1622  408 1602 383 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   254
F(  418 1600 455 1622  457 1600 418 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   255
p  465 1603 485 1631  486 1603 464 1631
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   256
))fl  493 1600 535 1622  536 1600 493 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   257
-  544 1603 558 1622  559 1603 544 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   258
I  571 1600 576 1622  577 1600 571 1622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   259
(By  620 1594 677 1632  679 1594 618 1632
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   260
Proposition  709 1594 911 1632  912 1594 708 1632
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   261
3  942 1603 957 1624  959 1603 942 1624
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   262
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   263
we  161 1646 206 1666  207 1646 161 1666
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   264
can  229 1646 288 1666  289 1646 229 1666
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   265
neglect  309 1637 431 1674  432 1637 308 1674
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   266
the  453 1637 503 1666  504 1637 453 1666
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   267
probability  525 1637 720 1674  721 1637 524 1674
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   268
of  742 1638 774 1667  775 1638 742 1667
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   269
any  796 1647 857 1675  858 1647 794 1675
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   270
ties.)  879 1638 959 1667  960 1638 879 1667
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   271
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   272
Hence  164 1683 272 1712  274 1683 164 1712
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   273
the  297 1683 348 1712  349 1683 297 1712
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   274
expected  372 1683 523 1720  524 1683 370 1720
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   275
profit  546 1683 643 1720  644 1683 545 1720
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   276
of  667 1684 700 1713  701 1684 667 1713
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   277
a  724 1693 740 1713  741 1693 724 1713
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   278
representa  764 1684 937 1722  938 1684 762 1722
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   279
-  938 1693 959 1713  960 1693 938 1713
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   280
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   281
tive  161 1730 222 1759  223 1730 161 1759
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
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store  240 1730 322 1759  323 1730 240 1759
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   283
is  341 1730 364 1759  366 1730 341 1759
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   284
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   285
f  178 1846 253 1868  255 1846 178 1868
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   286
?  255 1855 269 1868  270 1855 255 1868
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   287
(  270 1855 284 1868  285 1855 270 1868
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   288
?  285 1855 300 1868  301 1855 285 1868
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   289
s(p)(l  301 1846 387 1877  388 1846 300 1877
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   290
?  438 1855 388 1867  388 1854 438 1868
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
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   291
(p))fl  438 1846 574 1877  575 1846 437 1877
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   292
?  575 1855 589 1868  590 1855 575 1868
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
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   293
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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   294
p  196 1886 210 1908  211 1886 194 1908
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
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   295
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
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   296
1  424 1979 432 1999  433 1979 424 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
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   297
…  446 1979 468 1999  470 1979 446 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   298
(1  481 1979 510 1999  511 1979 481 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
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   299
…F(p))  525 1970 661 2007  662 1970 524 2007
6b8091ca909a Init from working directory of svn repository.
viric@llimona
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diff changeset
   300
?  662 1979 682 1999  683 1979 662 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   301
?  683 1979 703 1999  705 1979 683 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   302
1  705 1979 725 1999  726 1979 705 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   303
j  738 1979 746 2007  747 1979 737 2007
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   304
JJ(o)  760 1970 863 1999  864 1970 760 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   305
dp  876 1971 911 2009  912 1971 875 2009
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   306
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   307
where  162 2070 265 2100  266 2070 162 2100
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   308
r  322 2079 433 2100  434 2079 322 2100
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   309
?  434 2079 454 2100  455 2079 434 2100
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   310
(p)=p(U+I)…c(U+i)  455 2070 803 2108  804 2070 454 2108
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   311
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   312
?  316 2173 405 2192  406 2173 316 2192
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   313
?  406 2173 425 2192  426 2173 406 2192
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   314
(p)=pU  426 2164 544 2200  545 2164 425 2200
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   315
?  545 2173 564 2192  565 2173 545 2192
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   316
c(U)  565 2164 643 2192  644 2164 565 2192
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   317
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   318
The  203 2261 269 2291  270 2261 203 2291
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   319
maximization  289 2261 530 2291  531 2261 289 2291
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   320
problem  550 2261 695 2299  696 2261 549 2299
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   321
of  716 2262 751 2292  752 2262 716 2292
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   322
the  772 2262 823 2292  824 2262 772 2292
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   323
firm  844 2262 915 2292  916 2262 844 2292
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   324
is  936 2262 960 2292  961 2262 936 2292
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   325
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   326
to  162 2306 194 2336  196 2306 162 2336
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   327
choose  212 2306 330 2336  331 2306 212 2336
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   328
the  350 2306 400 2336  401 2306 350 2336
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   329
density  418 2306 543 2344  544 2306 416 2344
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   330
function  563 2306 708 2336  709 2306 563 2336
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   331
f(p)  721 2307 803 2345  804 2307 720 2345
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   332
so  823 2317 857 2337  858 2317 823 2337
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   333
as  876 2317 908 2337  909 2317 876 2337
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   334
to  927 2307 960 2337  961 2307 927 2337
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   335
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   336
maximize  162 2351 328 2381  329 2351 162 2381
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   337
expected  361 2351 512 2389  513 2351 360 2389
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   338
profits  544 2351 657 2389  659 2351 543 2389
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   339
subject  689 2352 812 2390  813 2352 688 2390
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   340
to  845 2352 876 2382  877 2352 845 2382
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   341
the  908 2352 960 2382  961 2352 908 2382
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   342
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   343
constraints:  164 2398 367 2428  368 2398 164 2428
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   344
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   345
f(p)>=0;  327 2506 493 2538  494 2506 325 2538
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   346
frj(p)dp=l  545 2506 790 2538  791 2506 544 2538
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   347
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   348
p  564 2554 578 2577  579 2554 563 2577
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   349
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   350
expected  1047 312 1200 350  1201 312 1046 349
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   351
profit;  1224 312 1332 350  1333 312 1223 349
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   352
for  1361 312 1410 342  1411 312 1361 342
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   353
if  1433 312 1457 342  1458 312 1433 342
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   354
some  1481 322 1568 342  1569 322 1481 342
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   355
price  1592 314 1679 351  1680 314 1590 350
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   356
yields  1703 314 1803 351  1804 314 1701 350
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   357
a  1828 323 1846 343  1846 323 1828 343
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   358
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   359
greater  1047 357 1168 395  1169 357 1046 394
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   360
profit  1183 357 1280 395  1281 357 1182 394
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   361
than  1298 357 1372 387  1373 357 1298 387
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   362
some  1388 367 1477 387  1478 367 1388 387
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   363
other  1494 359 1582 388  1583 359 1494 388
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   364
price  1599 359 1684 396  1685 359 1598 395
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   365
it  1701 359 1722 388  1723 359 1701 388
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   366
would  1738 359 1844 388  1846 359 1738 388
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   367
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   368
pay  1046 413 1107 441  1109 413 1045 440
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   369
to  1135 403 1165 433  1166 403 1135 433
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   370
increase  1192 403 1333 433  1334 403 1192 433
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   371
the  1360 403 1411 433  1412 403 1360 433
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   372
frequency  1438 403 1614 441  1615 403 1437 440
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   373
with  1640 405 1714 434  1716 405 1640 434
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   374
which  1740 405 1844 434  1846 405 1740 434
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   375
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   376
the  1047 450 1097 479  1098 450 1047 479
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   377
more  1111 459 1197 479  1198 459 1111 479
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   378
profitable  1211 450 1383 487  1384 450 1210 486
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   379
price  1396 450 1481 487  1482 450 1394 486
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   380
were  1494 460 1574 480  1575 460 1494 480
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   381
charged.  1587 451 1737 488  1738 451 1586 487
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   382
Since  1753 451 1843 480  1844 451 1753 480
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   383
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   384
we  1045 504 1090 524  1091 504 1045 524
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   385
require  1107 494 1228 532  1229 494 1106 531
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   386
zero  1243 504 1314 524  1315 504 1243 524
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   387
profits  1331 494 1444 532  1445 494 1329 531
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   388
due  1461 494 1521 524  1522 494 1461 524
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   389
to  1538 496 1569 525  1570 496 1538 525
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   390
free  1586 496 1651 525  1652 496 1586 525
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   391
entry,  1667 496 1765 533  1766 496 1666 532
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   392
this  1783 496 1842 525  1843 496 1783 525
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   393
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   394
common  1046 550 1198 570  1200 550 1046 570
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   395
level  1218 540 1295 570  1296 540 1218 570
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   396
of  1315 540 1350 570  1351 540 1315 570
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   397
profit  1368 540 1466 578  1468 540 1367 577
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   398
must  1487 542 1569 571  1570 542 1487 571
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   399
be  1590 542 1629 571  1631 542 1590 571
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   400
zero.  1650 551 1727 571  1729 551 1650 571
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   401
6  1729 551 1749 571  1750 551 1729 571
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   402
This  1768 542 1842 571  1843 542 1768 571
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   403
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   404
argument  1046 587 1211 624  1212 587 1045 624
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   405
yields  1227 587 1325 624  1326 587 1225 624
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   406
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   407
PROPOSITION  1047 677 1333 707  1334 677 1047 707
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   408
4:  1354 687 1384 707  1385 687 1354 707
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   409
if  1413 685 1445 707  1446 685 1413 707
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   410
f(p)  1450 680 1531 715  1533 680 1449 715
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   411
>0,  1543 689 1607 708  1608 689 1543 708
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   412
then  1627 681 1694 708  1696 681 1627 708
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   413
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   414
r  1316 786 1322 806  1322 786 1316 806
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   415
?  1322 786 1342 806  1344 786 1322 806
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   416
(p)(l  1344 777 1445 814  1446 777 1342 814
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   417
…F(p))  1459 777 1603 814  1605 777 1458 814
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   418
?  1605 786 1625 806  1626 786 1605 806
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   419
?  1626 786 1646 806  1647 786 1626 806
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   420
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   421
1(1  1334 891 1422 911  1423 891 1334 911
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   422
F(p))  1471 882 1574 920  1575 882 1470 920
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   423
?  1575 891 1595 911  1596 891 1575 911
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   424
?  1596 891 1616 911  1618 891 1596 911
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   425
‚j  1618 891 1658 920  1659 891 1616 920
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   426
=0  1673 891 1727 911  1729 891 1673 911
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   427
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   428
(Of  1087 999 1143 1028  1144 999 1087 1028
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   429
course,  1162 1008 1283 1028  1285 1008 1162 1028
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   430
Proposition  1306 999 1508 1037  1509 999 1305 1037
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   431
4  1527 1009 1546 1029  1547 1009 1527 1029
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   432
also  1566 1000 1633 1029  1634 1000 1566 1029
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   433
follows  1653 1000 1777 1029  1778 1000 1653 1029
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   434
di  1797 1000 1821 1029  1822 1000 1797 1029
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   435
-  1822 1009 1842 1029  1843 1009 1822 1029
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   436
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   437
rectly  1045 1044 1140 1081  1142 1044 1044 1081
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   438
from  1170 1044 1253 1073  1254 1044 1170 1073
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   439
the  1282 1044 1332 1073  1333 1044 1282 1073
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   440
application  1360 1044 1559 1081  1560 1044 1359 1081
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   441
of  1587 1045 1620 1074  1621 1045 1587 1074
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   442
the  1650 1045 1700 1074  1701 1045 1650 1074
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   443
Kuhn  1731 1045 1821 1074  1822 1045 1731 1074
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   444
-  1822 1054 1842 1074  1843 1054 1822 1074
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   445
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   446
Tucker  1045 1090 1170 1119  1171 1090 1045 1119
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   447
theorem  1192 1090 1333 1119  1334 1090 1192 1119
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   448
to  1357 1090 1387 1119  1388 1090 1357 1119
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   449
the  1411 1090 1462 1119  1463 1090 1411 1119
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   450
specified  1485 1091 1639 1129  1640 1091 1484 1129
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   451
maximiza  1661 1091 1822 1120  1823 1091 1661 1120
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   452
-  1823 1100 1843 1120  1844 1100 1823 1120
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   453
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   454
tion  1046 1137 1112 1166  1113 1137 1046 1166
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   455
problem.)  1142 1137 1311 1175  1312 1137 1140 1175
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   456
Rearranging  1341 1137 1561 1175  1562 1137 1340 1175
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   457
this  1590 1138 1651 1168  1652 1138 1590 1168
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   458
equation,  1680 1138 1843 1176  1844 1138 1679 1176
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   459
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   460
we  1046 1191 1091 1211  1092 1191 1046 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   461
have  1126 1182 1205 1211  1207 1182 1126 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   462
a  1242 1191 1260 1211  1260 1191 1242 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   463
formula  1294 1182 1431 1211  1432 1182 1294 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   464
for  1468 1182 1516 1211  1517 1182 1468 1211
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   465
the  1553 1183 1603 1212  1605 1183 1553 1212
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   466
equilibrium  1640 1183 1843 1221  1844 1183 1639 1221
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   467
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   468
cumulative  1046 1230 1238 1260  1240 1230 1046 1260
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   469
distribution  1256 1230 1462 1260  1463 1230 1256 1260
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   470
function:  1481 1230 1639 1260  1640 1230 1481 1260
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   471
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   472
l  1158 1371 1295 1400  1296 1371 1158 1400
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   473
?  1296 1380 1316 1400  1318 1380 1296 1400
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   474
F(P)=(  1318 1371 1440 1400  1442 1371 1318 1400
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   475
?  1442 1380 1462 1400  1463 1380 1442 1400
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   476
($¼1s(p)  1463 1380 1626 1409  1627 1380 1462 1409
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   477
)nlt  1644 1372 1724 1401  1725 1372 1644 1401
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   478
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   479
Note  1046 1502 1131 1531  1132 1502 1046 1531
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   480
that  1149 1502 1215 1531  1216 1502 1149 1531
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   481
the  1233 1502 1281 1531  1282 1502 1233 1531
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   482
denominator  1298 1502 1525 1531  1527 1502 1298 1531
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   483
of  1541 1503 1574 1533  1575 1503 1541 1533
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   484
this  1592 1503 1651 1533  1652 1503 1592 1533
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   485
fraction  1667 1503 1803 1533  1804 1503 1667 1533
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   486
is  1821 1503 1843 1533  1844 1503 1821 1533
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   487
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   488
negative  1046 1547 1190 1585  1191 1547 1045 1585
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   489
for  1209 1547 1259 1576  1260 1547 1209 1576
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   490
any  1276 1556 1337 1585  1338 1556 1275 1585
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   491
p  1348 1557 1371 1585  1372 1557 1347 1585
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   492
between  1390 1547 1534 1576  1535 1547 1390 1576
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   493
p  1546 1559 1564 1586  1566 1559 1544 1586
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   494
*  1566 1557 1586 1577  1587 1557 1566 1577
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   495
and  1608 1548 1671 1577  1672 1548 1608 1577
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   496
r.  1688 1559 1712 1577  1713 1559 1688 1577
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   497
Hence  1733 1548 1843 1577  1844 1548 1733 1577
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   498
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   499
the  1047 1595 1097 1625  1098 1595 1047 1625
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   500
numerator  1130 1595 1314 1625  1315 1595 1130 1625
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   501
must  1346 1595 1430 1625  1431 1595 1346 1625
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   502
be  1462 1595 1500 1625  1501 1595 1462 1625
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   503
negative  1531 1596 1678 1634  1679 1596 1530 1634
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   504
so  1711 1606 1745 1626  1746 1606 1711 1626
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   505
that  1777 1596 1843 1626  1844 1596 1777 1626
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   506
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   507
profits  1046 1639 1157 1677  1158 1639 1045 1677
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   508
in  1179 1639 1209 1668  1210 1639 1179 1668
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   509
the  1233 1639 1282 1668  1283 1639 1233 1668
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   510
event  1303 1639 1397 1668  1398 1639 1303 1668
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   511
of  1418 1639 1451 1668  1452 1639 1418 1668
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   512
failure  1471 1639 1582 1668  1583 1639 1471 1668
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   513
are  1605 1650 1657 1670  1658 1650 1605 1670
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   514
definitely  1679 1640 1843 1678  1844 1640 1678 1678
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   515
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   516
negative.  1046 1685 1200 1723  1201 1685 1045 1723
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   517
The  1223 1685 1288 1714  1289 1685 1223 1714
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   518
construction  1309 1685 1529 1714  1530 1685 1309 1714
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   519
of  1550 1686 1585 1716  1586 1686 1550 1716
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   520
(1  1606 1696 1633 1716  1634 1696 1606 1716
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   521
…F(p))  1648 1688 1779 1724  1781 1688 1647 1724
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   522
?  1781 1697 1800 1716  1800 1697 1781 1716
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   523
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   524
is  1045 1730 1067 1759  1068 1730 1045 1759
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   525
illustrated  1091 1730 1267 1759  1268 1730 1091 1759
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   526
in  1290 1730 1319 1759  1320 1730 1290 1759
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   527
Figure  1345 1730 1457 1768  1458 1730 1344 1768
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   528
1.  1487 1740 1508 1761  1509 1740 1487 1761
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   529
At  1533 1731 1574 1761  1575 1731 1533 1761
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   530
each  1598 1731 1677 1761  1678 1731 1598 1761
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   531
p  1694 1742 1716 1769  1717 1742 1693 1769
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   532
where  1739 1731 1842 1761  1843 1731 1739 1761
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   533
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   534
f(p)>O  1038 1778 1184 1814  1185 1778 1037 1814
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   535
we  1207 1785 1251 1805  1253 1785 1207 1805
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   536
can  1275 1785 1332 1805  1333 1785 1275 1805
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   537
construct  1357 1776 1521 1805  1522 1776 1357 1805
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   538
rf(P)  1543 1779 1640 1807  1641 1779 1543 1807
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   539
and  1664 1777 1727 1807  1729 1777 1664 1807
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   540
?  1751 1787 1729 1805  1729 1785 1751 1807
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   541
s(P)  1751 1777 1842 1807  1843 1777 1751 1807
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   542
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   543
as  1045 1833 1078 1853  1079 1833 1045 1853
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   544
illustrated  1107 1823 1280 1853  1281 1823 1107 1853
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   545
and  1308 1823 1372 1853  1373 1823 1308 1853
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   546
take  1401 1823 1472 1853  1474 1823 1401 1853
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   547
the  1503 1824 1554 1854  1555 1824 1503 1854
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   548
relevant  1582 1824 1724 1854  1725 1824 1582 1854
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   549
ratio.  1753 1824 1841 1854  1842 1824 1753 1854
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   550
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   551
Proposition  1046 1868 1247 1906  1248 1868 1045 1906
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   552
4  1264 1877 1283 1898  1283 1877 1264 1898
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   553
gives  1299 1868 1384 1906  1385 1868 1298 1906
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   554
us  1401 1877 1437 1898  1438 1877 1401 1898
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   555
an  1455 1877 1495 1898  1496 1877 1455 1898
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   556
explicit  1512 1869 1640 1907  1641 1869 1511 1907
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   557
expression  1658 1869 1842 1907  1843 1869 1657 1907
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   558
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   559
for  1045 1914 1093 1944  1094 1914 1045 1944
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   560
the  1116 1914 1166 1944  1168 1914 1116 1944
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   561
equilibrium  1189 1914 1391 1952  1392 1914 1188 1952
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   562
distribution  1414 1914 1619 1944  1620 1914 1414 1944
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   563
function  1641 1915 1789 1945  1790 1915 1641 1945
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   564
at  1812 1915 1842 1945  1843 1915 1812 1945
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   565
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   566
those  1046 1960 1136 1990  1137 1960 1046 1990
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   567
values  1152 1960 1260 1990  1261 1960 1152 1990
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   568
of  1277 1960 1309 1990  1311 1960 1277 1990
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   569
p  1321 1971 1341 1998  1342 1971 1320 1998
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   570
where  1359 1960 1463 1990  1464 1960 1359 1990
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   571
f(  1474 1967 1505 1990  1507 1967 1474 1990
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   572
p)>  1514 1972 1590 1999  1592 1972 1512 1999
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   573
0.  1602 1972 1629 1991  1631 1972 1602 1991
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   574
If  1648 1961 1675 1991  1677 1961 1648 1991
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   575
this  1693 1961 1752 1991  1753 1961 1693 1991
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   576
is  1770 1961 1794 1991  1795 1961 1770 1991
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   577
to  1811 1961 1843 1991  1844 1961 1811 1991
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   578
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   579
be  1046 2006 1084 2036  1085 2006 1046 2036
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   580
a  1107 2016 1125 2036  1126 2016 1107 2036
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   581
legitimate  1149 2006 1318 2044  1319 2006 1148 2044
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   582
candidate  1341 2006 1512 2036  1514 2006 1341 2036
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   583
for  1536 2007 1586 2037  1587 2007 1536 2037
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   584
a  1609 2017 1628 2037  1628 2017 1609 2037
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   585
cumulative  1651 2007 1843 2037  1844 2007 1651 2037
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   586
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   587
distribution  1046 2053 1248 2083  1249 2053 1046 2083
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   588
function,  1279 2053 1435 2083  1436 2053 1279 2083
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   589
it  1465 2053 1487 2083  1488 2053 1465 2083
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   590
should  1516 2055 1632 2084  1633 2055 1516 2084
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   591
be  1661 2055 1699 2084  1700 2055 1661 2084
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   592
an  1729 2064 1769 2084  1770 2064 1729 2084
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   593
in  1800 2055 1822 2084  1823 2055 1800 2084
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   594
-  1823 2064 1843 2084  1844 2064 1823 2084
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   595
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   596
creasing  1045 2097 1188 2135  1189 2097 1044 2135
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   597
function  1204 2097 1348 2127  1350 2097 1204 2127
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   598
of  1366 2097 1399 2127  1400 2097 1366 2127
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   599
p.  1410 2108 1440 2135  1442 2108 1409 2135
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   600
This  1458 2097 1533 2127  1534 2097 1458 2127
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   601
is  1550 2098 1573 2128  1574 2098 1550 2128
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   602
easy  1590 2108 1664 2136  1665 2108 1589 2136
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   603
to  1681 2098 1712 2128  1713 2098 1681 2128
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   604
verify:  1729 2098 1838 2136  1840 2098 1727 2136
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   605
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   606
PROPOSITION  1046 2188 1339 2218  1340 2188 1046 2218
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   607
5:  1368 2198 1397 2218  1398 2198 1368 2218
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   608
ƒj(p)/(  1427 2199 1595 2226  1596 2199 1426 2226
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   609
?  1596 2200 1615 2219  1615 2200 1596 2219
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   610
(p)  1615 2200 1674 2227  1675 2200 1614 2227
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   611
…  1692 2199 1717 2219  1718 2199 1692 2219
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   612
?  1733 2199 1718 2218  1718 2198 1733 2219
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   613
s(P))  1733 2189 1842 2219  1843 2189 1733 2219
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   614
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   615
is  1044 2238 1067 2265  1068 2238 1044 2265
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   616
strictly  1084 2238 1197 2273  1198 2238 1083 2273
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   617
decreasing  1216 2238 1393 2273  1394 2238 1215 2273
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   618
in  1411 2238 1438 2265  1439 2238 1411 2265
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   619
p.  1452 2246 1482 2273  1483 2246 1451 2273
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   620
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   621
PROOF:  1046 2326 1198 2356  1200 2326 1046 2356
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   622
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   623
Taking  1085 2371 1208 2409  1209 2371 1084 2409
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   624
the  1231 2371 1281 2401  1282 2371 1231 2401
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   625
derivative  1305 2371 1476 2401  1477 2371 1305 2401
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   626
it  1500 2371 1521 2401  1522 2371 1500 2401
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   627
suffices  1544 2372 1674 2402  1675 2372 1544 2402
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   628
to  1699 2372 1730 2402  1731 2372 1699 2402
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   629
show  1753 2372 1842 2402  1843 2372 1753 2402
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   630
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   631
that  1045 2417 1111 2447  1112 2417 1045 2447
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   632
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   633
It  206 2625 231 2655  232 2625 206 2655
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   634
is  251 2625 275 2655  276 2625 251 2655
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   635
clear  295 2625 377 2655  379 2625 295 2655
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   636
that  398 2625 462 2655  464 2625 398 2655
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   637
all  483 2625 522 2655  523 2625 483 2655
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   638
prices  543 2625 642 2663  643 2625 542 2663
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   639
that  663 2626 731 2656  732 2626 663 2656
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   640
are  751 2636 801 2656  803 2636 751 2656
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   641
charged  823 2626 961 2664  962 2626 822 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   642
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   643
with  162 2669 237 2698  238 2669 162 2698
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   644
positive  264 2669 398 2707  399 2669 263 2707
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   645
density  424 2669 548 2707  549 2669 422 2707
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   646
must  575 2669 657 2698  659 2669 575 2698
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   647
yield  683 2670 768 2708  770 2670 682 2708
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   648
the  797 2670 848 2700  849 2670 797 2700
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   649
same  875 2679 961 2700  962 2679 875 2700
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   650
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   651
6  1080 2600 1100 2617  1101 2600 1080 2617
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   652
One  1101 2593 1151 2617  1152 2593 1101 2617
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   653
can  1175 2600 1222 2617  1223 2600 1175 2617
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   654
also  1244 2593 1296 2617  1298 2593 1244 2617
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   655
formulate  1319 2593 1456 2617  1457 2593 1319 2617
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   656
the  1479 2593 1520 2617  1521 2593 1479 2617
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   657
model  1543 2594 1628 2618  1629 2594 1543 2618
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   658
with  1651 2594 1711 2618  1712 2594 1651 2618
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   659
a  1735 2601 1748 2618  1748 2601 1735 2618
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   660
fixed  1770 2594 1837 2618  1838 2594 1770 2618
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   661
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   662
number  1038 2640 1145 2664  1146 2640 1038 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   663
of  1159 2640 1187 2664  1188 2640 1159 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   664
firms.  1202 2640 1277 2664  1279 2640 1202 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   665
In  1295 2640 1321 2664  1322 2640 1295 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   666
this  1338 2640 1384 2664  1385 2640 1338 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   667
case,  1399 2648 1464 2664  1465 2648 1399 2664
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   668
expected  1481 2642 1602 2671  1603 2642 1479 2671
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   669
profits  1618 2642 1709 2671  1710 2642 1616 2671
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   670
must  1725 2642 1790 2665  1791 2642 1725 2665
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   671
be  1805 2642 1836 2665  1837 2642 1805 2665
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   672
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   673
equal  1037 2679 1111 2709  1112 2679 1035 2709
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   674
to  1126 2679 1151 2703  1152 2679 1126 2703
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   675
H  1168 2679 1174 2703  1174 2679 1168 2703
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   676
1  1174 2687 1190 2703  1191 2687 1174 2703
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   677
(r).  1191 2687 1257 2703  1259 2687 1191 2703
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   678
6b8091ca909a Init from working directory of svn repository.
viric@llimona
parents:
diff changeset
   679