home *** CD-ROM | disk | FTP | other *** search
/ Software Vault: The Gold Collection / Software Vault - The Gold Collection (American Databankers) (1993).ISO / cdr49 / ai_math.zip / MATRIX.SAM < prev    next >
INI File  |  1993-01-28  |  44KB  |  1,208 lines

  1. [ver]
  2.     4
  3. [sty]
  4.     
  5. [files]
  6. [charset]
  7.     82
  8.     ANSI (Windows, IBM CP 1252)
  9. [revisions]
  10.     0
  11. [prn]
  12.     Epson FX-80
  13. [lang]
  14.     1
  15. [desc]
  16.     
  17.     
  18.     
  19.     
  20.     
  21.     728292582
  22.     1
  23.     728288766
  24.     56
  25.     2
  26.     0
  27.     0
  28.     0
  29.     0
  30.     
  31.     
  32.     
  33.     
  34.     
  35.     
  36.     0
  37. [fopts]
  38.     0
  39.     1
  40.     0
  41.     0
  42. [lnopts]
  43.     2
  44.     Body Text
  45.     1
  46. [docopts]
  47.     5
  48.     2
  49. [tag]
  50.     Body Text
  51.     2
  52.     [fnt]
  53.         TimesNewRomanPS
  54.         240
  55.         0
  56.         49152
  57.     [algn]
  58.         1
  59.         1
  60.         0
  61.         0
  62.         0
  63.     [spc]
  64.         33
  65.         273
  66.         1
  67.         0
  68.         0
  69.         1
  70.         100
  71.     [brk]
  72.         4
  73.     [line]
  74.         8
  75.         0
  76.         1
  77.         0
  78.         1
  79.         1
  80.         1
  81.         10
  82.         10
  83.         1
  84.     [spec]
  85.         0
  86.         0
  87.         
  88.         0
  89.         1
  90.         1
  91.         0
  92.         0
  93.         0
  94.         0
  95.     [nfmt]
  96.         280
  97.         1
  98.         2
  99.         .
  100.         ,
  101.         $
  102.     Body Text
  103.     0
  104.     0
  105. [tag]
  106.     Body Single
  107.     3
  108.     [fnt]
  109.         TimesNewRomanPS
  110.         240
  111.         0
  112.         49152
  113.     [algn]
  114.         1
  115.         1
  116.         0
  117.         0
  118.         0
  119.     [spc]
  120.         33
  121.         273
  122.         1
  123.         0
  124.         0
  125.         1
  126.         100
  127.     [brk]
  128.         4
  129.     [line]
  130.         8
  131.         0
  132.         1
  133.         0
  134.         1
  135.         1
  136.         1
  137.         10
  138.         10
  139.         1
  140.     [spec]
  141.         0
  142.         0
  143.         
  144.         0
  145.         1
  146.         1
  147.         0
  148.         0
  149.         0
  150.         0
  151.     [nfmt]
  152.         280
  153.         1
  154.         2
  155.         .
  156.         ,
  157.         $
  158.     Body Single
  159.     0
  160.     0
  161. [tag]
  162.     Bullet
  163.     4
  164.     [fnt]
  165.         TimesNewRomanPS
  166.         240
  167.         0
  168.         49152
  169.     [algn]
  170.         1
  171.         1
  172.         0
  173.         288
  174.         288
  175.     [spc]
  176.         33
  177.         273
  178.         1
  179.         0
  180.         0
  181.         1
  182.         100
  183.     [brk]
  184.         4
  185.     [line]
  186.         8
  187.         0
  188.         1
  189.         0
  190.         1
  191.         1
  192.         1
  193.         10
  194.         10
  195.         1
  196.     [spec]
  197.         0
  198.         0
  199.         <*0>
  200.         360
  201.         1
  202.         1
  203.         0
  204.         0
  205.         0
  206.         0
  207.     [nfmt]
  208.         272
  209.         1
  210.         2
  211.         .
  212.         ,
  213.         $
  214.     Bullet
  215.     0
  216.     0
  217. [tag]
  218.     Bullet 1
  219.     5
  220.     [fnt]
  221.         TimesNewRomanPS
  222.         240
  223.         0
  224.         49152
  225.     [algn]
  226.         1
  227.         1
  228.         288
  229.         288
  230.         288
  231.     [spc]
  232.         33
  233.         273
  234.         1
  235.         0
  236.         0
  237.         1
  238.         100
  239.     [brk]
  240.         4
  241.     [line]
  242.         8
  243.         0
  244.         1
  245.         0
  246.         1
  247.         1
  248.         1
  249.         10
  250.         10
  251.         1
  252.     [spec]
  253.         0
  254.         0
  255.         <*5>
  256.         0
  257.         1
  258.         1
  259.         0
  260.         0
  261.         0
  262.         0
  263.     [nfmt]
  264.         280
  265.         1
  266.         2
  267.         .
  268.         ,
  269.         $
  270.     Bullet 1
  271.     0
  272.     0
  273. [tag]
  274.     Number List
  275.     6
  276.     [fnt]
  277.         TimesNewRomanPS
  278.         240
  279.         0
  280.         49152
  281.     [algn]
  282.         1
  283.         1
  284.         360
  285.         360
  286.         360
  287.     [spc]
  288.         33
  289.         273
  290.         1
  291.         0
  292.         0
  293.         1
  294.         100
  295.     [brk]
  296.         4
  297.     [line]
  298.         8
  299.         0
  300.         1
  301.         0
  302.         1
  303.         1
  304.         1
  305.         10
  306.         10
  307.         1
  308.     [spec]
  309.         0
  310.         0
  311.         <*:>.
  312.         360
  313.         1
  314.         1
  315.         0
  316.         0
  317.         0
  318.         0
  319.     [nfmt]
  320.         272
  321.         1
  322.         2
  323.         .
  324.         ,
  325.         $
  326.     Number List
  327.     0
  328.     0
  329. [tag]
  330.     Subhead
  331.     7
  332.     [fnt]
  333.         TimesNewRomanPS
  334.         240
  335.         0
  336.         49155
  337.     [algn]
  338.         1
  339.         1
  340.         0
  341.         0
  342.         0
  343.     [spc]
  344.         33
  345.         273
  346.         1
  347.         72
  348.         72
  349.         1
  350.         100
  351.     [brk]
  352.         4
  353.     [line]
  354.         8
  355.         0
  356.         1
  357.         0
  358.         1
  359.         1
  360.         1
  361.         10
  362.         10
  363.         1
  364.     [spec]
  365.         0
  366.         2
  367.         
  368.         0
  369.         1
  370.         1
  371.         0
  372.         0
  373.         0
  374.         0
  375.     [nfmt]
  376.         272
  377.         1
  378.         2
  379.         .
  380.         ,
  381.         $
  382.     Subhead
  383.     0
  384.     0
  385. [tag]
  386.     Title
  387.     8
  388.     [fnt]
  389.         Arial MT
  390.         360
  391.         0
  392.         16385
  393.     [algn]
  394.         4
  395.         1
  396.         0
  397.         0
  398.         0
  399.     [spc]
  400.         33
  401.         446
  402.         1
  403.         144
  404.         72
  405.         1
  406.         100
  407.     [brk]
  408.         16
  409.     [line]
  410.         8
  411.         0
  412.         1
  413.         0
  414.         1
  415.         1
  416.         1
  417.         10
  418.         10
  419.         1
  420.     [spec]
  421.         0
  422.         1
  423.         
  424.         0
  425.         1
  426.         1
  427.         0
  428.         0
  429.         0
  430.         0
  431.     [nfmt]
  432.         272
  433.         1
  434.         2
  435.         .
  436.         ,
  437.         $
  438.     Title
  439.     0
  440.     0
  441. [frm]
  442.     2
  443.     537395392
  444.     1440
  445.     5122
  446.     3525
  447.     5466
  448.     0
  449.     1
  450.     3
  451.     0 0 0 0 0 0 0
  452.     0
  453.     16777215
  454.     9
  455.     0
  456.     0
  457.     2085 241
  458.     [frmname]
  459.         Frame9
  460.     [frmlay]
  461.         5466
  462.         2085
  463.         1
  464.         0
  465.         0
  466.         1
  467.         5122
  468.         0
  469.         0
  470.         2
  471.         0
  472.         49
  473.         32
  474.         14129
  475.         1
  476.         1440
  477.         3219
  478.         0
  479.     [isd]
  480.         .X9
  481.         .tex
  482.         .X9
  483.         1
  484.         1
  485.         0
  486.         0
  487.         2085
  488.         65192
  489.         100
  490.         0
  491.         16
  492.         21532
  493.         28009
  494.         29541
  495.         25934
  496.         21111
  497.         28015
  498.         28257
  499.         21328
  500.         0
  501.         0
  502.         0
  503.         0
  504.         0
  505.         0
  506.         0
  507.         0
  508.         .tex
  509.         0
  510.         65295
  511.         0
  512. [frm]
  513.     2
  514.     537395392
  515.     1440
  516.     4369
  517.     3537
  518.     4713
  519.     0
  520.     1
  521.     3
  522.     0 0 0 0 0 0 0
  523.     0
  524.     16777215
  525.     8
  526.     1
  527.     0
  528.     2097 241
  529.     [frmname]
  530.         Frame8
  531.     [frmlay]
  532.         4713
  533.         2097
  534.         1
  535.         0
  536.         0
  537.         1
  538.         4369
  539.         0
  540.         0
  541.         2
  542.         0
  543.         32
  544.         56
  545.         13361
  546.         1
  547.         1440
  548.         3231
  549.         0
  550.     [isd]
  551.         .X8
  552.         .tex
  553.         .X8
  554.         1
  555.         1
  556.         0
  557.         0
  558.         2097
  559.         65192
  560.         100
  561.         0
  562.         16
  563.         21532
  564.         28009
  565.         29541
  566.         25934
  567.         21111
  568.         28015
  569.         28257
  570.         21328
  571.         0
  572.         0
  573.         0
  574.         0
  575.         0
  576.         0
  577.         0
  578.         0
  579.         .tex
  580.         0
  581.         65295
  582.         0
  583. [frm]
  584.     1
  585.     537395392
  586.     2263
  587.     12415
  588.     4568
  589.     12755
  590.     0
  591.     1
  592.     3
  593.     0 0 0 0 0 0 0
  594.     0
  595.     16777215
  596.     7
  597.     2
  598.     823
  599.     2305 241
  600.     [frmname]
  601.         Frame7
  602.     [frmlay]
  603.         12755
  604.         2305
  605.         1
  606.         0
  607.         0
  608.         1
  609.         12415
  610.         0
  611.         0
  612.         2
  613.         0
  614.         70
  615.         76
  616.         280
  617.         1
  618.         2263
  619.         4262
  620.         0
  621.     [isd]
  622.         .X7
  623.         .tex
  624.         .X7
  625.         1
  626.         1
  627.         0
  628.         0
  629.         2305
  630.         65196
  631.         100
  632.         0
  633.         16
  634.         21532
  635.         28009
  636.         29541
  637.         25934
  638.         21111
  639.         28015
  640.         28257
  641.         21328
  642.         0
  643.         0
  644.         0
  645.         0
  646.         0
  647.         0
  648.         0
  649.         0
  650.         .tex
  651.         0
  652.         65295
  653.         0
  654. [frm]
  655.     1
  656.     537395392
  657.     2263
  658.     8689
  659.     4598
  660.     9029
  661.     0
  662.     1
  663.     3
  664.     0 0 0 0 0 0 0
  665.     0
  666.     16777215
  667.     6
  668.     3
  669.     823
  670.     2335 241
  671.     [frmname]
  672.         Frame6
  673.     [frmlay]
  674.         9029
  675.         2335
  676.         1
  677.         0
  678.         0
  679.         1
  680.         8689
  681.         0
  682.         0
  683.         2
  684.         0
  685.         0
  686.         0
  687.         0
  688.         1
  689.         2263
  690.         4292
  691.         0
  692.     [isd]
  693.         .X6
  694.         .tex
  695.         .X6
  696.         1
  697.         1
  698.         0
  699.         0
  700.         2335
  701.         65196
  702.         100
  703.         0
  704.         16
  705.         21532
  706.         28009
  707.         29541
  708.         25934
  709.         21111
  710.         28015
  711.         28257
  712.         21328
  713.         0
  714.         0
  715.         0
  716.         0
  717.         0
  718.         0
  719.         0
  720.         0
  721.         .tex
  722.         0
  723.         65295
  724.         0
  725. [frm]
  726.     1
  727.     537395392
  728.     1680
  729.     10942
  730.     4658
  731.     11286
  732.     0
  733.     1
  734.     3
  735.     0 0 0 0 0 0 0
  736.     0
  737.     16777215
  738.     5
  739.     4
  740.     240
  741.     2978 241
  742.     [frmname]
  743.         Frame5
  744.     [frmlay]
  745.         11286
  746.         2978
  747.         1
  748.         0
  749.         0
  750.         1
  751.         10942
  752.         0
  753.         0
  754.         2
  755.         0
  756.         0
  757.         0
  758.         0
  759.         1
  760.         1680
  761.         4352
  762.         0
  763.     [isd]
  764.         .X5
  765.         .tex
  766.         .X5
  767.         1
  768.         1
  769.         0
  770.         0
  771.         2978
  772.         65192
  773.         100
  774.         0
  775.         16
  776.         21532
  777.         28009
  778.         29541
  779.         25934
  780.         21111
  781.         28015
  782.         28257
  783.         21328
  784.         0
  785.         0
  786.         0
  787.         0
  788.         0
  789.         0
  790.         0
  791.         0
  792.         .tex
  793.         0
  794.         65295
  795.         0
  796. [frm]
  797.     1
  798.     537395392
  799.     1986
  800.     10189
  801.     5166
  802.     10533
  803.     0
  804.     1
  805.     3
  806.     0 0 0 0 0 0 0
  807.     0
  808.     16777215
  809.     4
  810.     5
  811.     546
  812.     3180 241
  813.     [frmname]
  814.         Frame4
  815.     [frmlay]
  816.         10533
  817.         3180
  818.         1
  819.         0
  820.         0
  821.         1
  822.         10189
  823.         0
  824.         0
  825.         2
  826.         0
  827.         70
  828.         76
  829.         280
  830.         1
  831.         1986
  832.         4860
  833.         0
  834.     [isd]
  835.         .X4
  836.         .tex
  837.         .X4
  838.         1
  839.         1
  840.         0
  841.         0
  842.         3180
  843.         65192
  844.         100
  845.         0
  846.         16
  847.         21532
  848.         28009
  849.         29541
  850.         25934
  851.         21111
  852.         28015
  853.         28257
  854.         21328
  855.         0
  856.         0
  857.         0
  858.         0
  859.         0
  860.         0
  861.         0
  862.         0
  863.         .tex
  864.         0
  865.         65295
  866.         0
  867. [frm]
  868.     1
  869.     537395392
  870.     1983
  871.     9438
  872.     3145
  873.     9780
  874.     0
  875.     1
  876.     3
  877.     0 0 0 0 0 0 0
  878.     0
  879.     16777215
  880.     3
  881.     6
  882.     543
  883.     1162 241
  884.     [frmname]
  885.         Frame3
  886.     [frmlay]
  887.         9780
  888.         1162
  889.         1
  890.         0
  891.         0
  892.         1
  893.         9438
  894.         0
  895.         0
  896.         2
  897.         0
  898.         108
  899.         101
  900.         0
  901.         1
  902.         1983
  903.         2839
  904.         0
  905.     [isd]
  906.         .X3
  907.         .tex
  908.         .X3
  909.         1
  910.         1
  911.         0
  912.         0
  913.         1162
  914.         65194
  915.         100
  916.         0
  917.         16
  918.         21532
  919.         28009
  920.         29541
  921.         25934
  922.         21111
  923.         28015
  924.         28257
  925.         21328
  926.         0
  927.         0
  928.         0
  929.         0
  930.         0
  931.         0
  932.         0
  933.         0
  934.         .tex
  935.         0
  936.         65295
  937.         0
  938. [lay]
  939.     Standard
  940.     513
  941.     [rght]
  942.         15840
  943.         12240
  944.         1
  945.         1440
  946.         1440
  947.         1
  948.         1440
  949.         1440
  950.         0
  951.         1
  952.         0
  953.         1
  954.         0
  955.         2
  956.         1
  957.         1440
  958.         10800
  959.         12
  960.         1
  961.         720
  962.         1
  963.         1440
  964.         1
  965.         2160
  966.         1
  967.         2880
  968.         1
  969.         3600
  970.         1
  971.         4320
  972.         1
  973.         5040
  974.         1
  975.         5760
  976.         1
  977.         6480
  978.         1
  979.         7200
  980.         1
  981.         7920
  982.         1
  983.         8640
  984.     [hrght]
  985.     [lyfrm]
  986.         1
  987.         11200
  988.         0
  989.         0
  990.         12240
  991.         1440
  992.         0
  993.         1
  994.         3
  995.         1 0 0 0 0 0 0
  996.         0
  997.         0
  998.         1
  999.     [frmlay]
  1000.         1440
  1001.         12240
  1002.         1
  1003.         1440
  1004.         72
  1005.         1
  1006.         792
  1007.         1440
  1008.         0
  1009.         1
  1010.         0
  1011.         1
  1012.         1
  1013.         0
  1014.         1
  1015.         1440
  1016.         10800
  1017.         1
  1018.         3
  1019.         9360
  1020.     [txt]
  1021. >
  1022.     [frght]
  1023.     [lyfrm]
  1024.         1
  1025.         13248
  1026.         0
  1027.         14400
  1028.         12240
  1029.         15840
  1030.         0
  1031.         1
  1032.         3
  1033.         1 0 0 0 0 0 0
  1034.         0
  1035.         0
  1036.         2
  1037.     [frmlay]
  1038.         15840
  1039.         12240
  1040.         1
  1041.         1440
  1042.         792
  1043.         1
  1044.         14472
  1045.         1440
  1046.         0
  1047.         1
  1048.         0
  1049.         1
  1050.         1
  1051.         0
  1052.         1
  1053.         1440
  1054.         10800
  1055.         2
  1056.         2
  1057.         4680
  1058.         3
  1059.         9360
  1060.     [txt]
  1061.  
  1062. >
  1063. [elay]
  1064. [l1]
  1065.     0
  1066. [pg]
  1067.     2
  1068.     25 0 8 32 0 0 0 65535 2 Standard    65535 0 0    0 0 0 0 0 0 0 65535 0 0 65535 0 0 0 0
  1069.     58 88 21 1025 0 0 0 65535 13 Standard    65535 0 0    0 0 0 0 0 0 0 65535 0 0 65535 0 0 0 0
  1070. [edoc]
  1071. <:#720,9360><:f320,,>     Well, I got really lazy and decided to just give you the math and no real explination or picures (maybe later if someone asks).
  1072.  
  1073. <:#360,9360><:f320,,>
  1074.  
  1075. <:#2880,9360><:f320,,>The following algorithims are called BAM which stands for Bi-directional Associative Memory.  The reason why it bi-directional is because of its ability to relate pattern A to pattern B.  For example: if you gave it pattern A it would give you patt
  1076. ern B and if you gave it pattern B it would give you pattern A.  Another very interesting thing that this algorithim can do is profore error checking (fuzzy controle).  This algorithim was probubly designed for an OCR package or a handwriting recogition pro
  1077. gram (Check out the program IREC.EXE).<:f><:f320,,>
  1078.  
  1079. <:#720,9360><:f320,,>Whatever its purpose it is self correcting and makes it ideal for modem transmitting.<:f><:f320,,><:f><:f320,,>
  1080.  
  1081. <:#720,9360><:f320,,>     These algorithims are writtin to attempt to simulate the neurons in the brain and are there fore not simple litle 2+2 problems.
  1082.  
  1083. <:f320,,>     M = number of Y neurons
  1084.  
  1085. <:f320,,><:f><:f320,,><:f320,,>     N = number of X neurons<:f><:f320,,>
  1086.  
  1087. <:f320,,><:f><:f320,,><:f320,,><:f><:f320,,><:f><:f320,,><:f><:f320,,>in a 7x7 black and white image M = 7 and N = 7
  1088.  
  1089. <:f320,,>
  1090.  
  1091. <:f320,,>/* Set A */
  1092.  
  1093. <:f320,,>while(<:A3>)
  1094.  
  1095. <:#360,9360><:f320,,>  {
  1096.  
  1097.     <:f320,,><:f><:f320,,>if(<:A6>)
  1098.  
  1099. <:#360,9360><:f320,,>      {
  1100.  
  1101. <:f320,,>       <:A5><:f><:f320,,>
  1102.  
  1103. <:#360,9360><:f320,,>      }
  1104.  
  1105.     <:f320,,><:f><:f320,,><:A4>
  1106.  
  1107. <:#360,9360><:f320,,>  }
  1108.  
  1109. <:#360,9360><:f320,,><:f><:f320,,><:f320,,><:f><:f320,,><:f320,,>
  1110.  
  1111. <:#360,9360><:f320,,>/* Set B */
  1112.  
  1113. <:f320,,>while(<:A2><:f><:f320,,>)
  1114.  
  1115. <:#360,9360>  <:f320,,>{
  1116.  
  1117. <:#360,9360><:f320,,>   /* Modified stuff from abouve goes here */
  1118.  
  1119. <:#360,9360><:f320,,>  }<:f>
  1120.  
  1121. <:f320,,>
  1122.  
  1123. <:#1440,9360><:f320,,>The same is repeated for the second layer of neurons but switch all i's with j's and all j's with i's and all X's with Y's and all Y's with X's (because it took me about 30min to write the above).  Do NOT change anything in the while statements.<:f>
  1124. <:f320,,><:f><:f320,,>
  1125.  
  1126. <:#360,9360><:f320,,>
  1127.  
  1128. <:#720,9360><:f320,,>The S's are the weights between each neuron. They are calculated by the folowing formulas:
  1129.  
  1130. <:#360,9360><:f320,,>
  1131.  
  1132. <:f320,,><:A1>
  1133.  
  1134. <:#360,9360><:f320,,>
  1135.  
  1136. <:f320,,><:A0>
  1137.  
  1138. <:#360,9360><:f320,,>
  1139.  
  1140. <:#720,9360><:f320,,><:f><:f320,,><:f><:f320,,>Well that about summs it up for creating a BAM matrix now for getting stuff out.
  1141.  
  1142. <:#360,9360><:f320,,>
  1143.  
  1144. <:#360,9360><:f320,,>I'll just give this to you in C since it is only about 10 lines long.
  1145.  
  1146. <:#360,9360><:f320,,>
  1147.  
  1148. <:#280,9360><:f320,,><:f>void dothink( void ) 
  1149.  
  1150. <:#280,9360>{ 
  1151.  
  1152. <:#280,9360>int i,j,c,sc,new; float sum;
  1153.  
  1154. <:#280,9360>
  1155.  
  1156. <:#280,9360>/* NUMBER OF CURRENT B<[>X] */
  1157.  
  1158. <:#280,9360>for(j=0; j<<49; j++)       
  1159.  
  1160. <:#280,9360>     {
  1161.  
  1162. <:#280,9360>      sum=0;
  1163.  
  1164. <:#280,9360>      /* COMPUTE SUM */ 
  1165.  
  1166. <:#280,9360>      for(i = 0; i << 49; i++)  sum += Xneurons<[>i] * W<[>i]<[>j];
  1167.  
  1168. <:#280,9360>      /* FIND NEURON VALUE */ 
  1169.  
  1170. <:#280,9360>      if(sum == thY<[>j]) new = Yneurons<[>j];
  1171.  
  1172. <:#280,9360>      if(sum << thY<[>j])     new = -1; 
  1173.  
  1174. <:#280,9360>      if(sum <;> thY<[>j])     new = 1;
  1175.  
  1176. <:#280,9360>      if(new != Yneurons<[>j])     setmod = 1;
  1177.  
  1178. <:#280,9360>      /* RECORD MODIFICATION */
  1179.  
  1180. <:#280,9360>      Yneurons<[>j] = new;                     /* STORE IT */     
  1181.  
  1182. <:#280,9360>      }
  1183.  
  1184. <:#280,9360> } 
  1185.  
  1186. <:f320,,>A negitive 1 indecates off and a positive 1 indicates on.  The output image is stored in Yneurons.<:f><:f320,,>
  1187.  
  1188. <:f320,,><:f><:f320,,>If you need more help leave me a message and I'll draw some pictures or whatever you need.
  1189.  
  1190. >
  1191. TimesNewRomanPS,18,12,0,0,0,0,0
  1192. $S_{Y_i}^K=_{i=1}^N\sum W_{ij}X_i^k-\theta _{Y_j}$SS₧₧xx.╥∙                                                                                                                                                                                                                                                                                                                                        ∙∙  ∙∙                     ∙∙   ∙∙                                                                 ∙∙                                                         ∙  ∙                         ∙  ∙                                                                   ∙                                                         ∙ ∙                         ∙∙  ∙                                                                  ∙                                                          ∙∙                          ∙ ∙ ∙               ∙∙∙∙∙∙∙∙∙                                          ∙ ∙∙                                               ∙∙∙∙ ∙  ∙∙                         ∙  ∙ ∙                ∙     ∙∙         ∙∙∙∙∙∙∙∙∙ ∙∙∙          ∙∙∙∙  ∙∙∙∙∙∙                        ∙∙∙∙                    ∙    ∙  ∙  ∙                        ∙  ∙∙                 ∙      ∙          ∙    ∙    ∙            ∙     ∙  ∙∙                       ∙    ∙                   ∙    ∙  ∙  ∙                        ∙   ∙                  ∙                ∙    ∙   ∙              ∙   ∙  ∙ ∙                       ∙    ∙                   ∙    ∙ ∙∙∙ ∙∙∙                     ∙∙   ∙                   ∙               ∙   ∙∙  ∙               ∙  ∙   ∙ ∙∙                     ∙      ∙                   ∙                                                          ∙               ∙  ∙ ∙  ∙               ∙ ∙                             ∙      ∙                    ∙                     ∙∙∙∙∙∙∙∙∙                            ∙              ∙  ∙ ∙ ∙                 ∙                              ∙∙∙∙∙∙∙∙                     ∙                                                         ∙              ∙ ∙  ∙ ∙                ∙∙                              ∙      ∙                      ∙                                                       ∙               ∙∙   ∙∙       ∙  ∙     ∙ ∙               ∙∙∙∙∙∙∙∙∙      ∙      ∙   ∙∙∙ ∙∙       ∙     ∙                   ∙∙∙∙∙∙∙∙∙                           ∙               ∙   ∙∙                ∙  ∙                              ∙      ∙    ∙  ∙        ∙     ∙   ∙∙∙ ∙∙                       ∙         ∙           ∙      ∙         ∙   ∙                ∙    ∙      ∙                       ∙    ∙     ∙ ∙         ∙∙   ∙     ∙  ∙                                 ∙∙          ∙      ∙∙        ∙    ∙        ∙∙  ∙  ∙     ∙                              ∙    ∙      ∙∙        ∙  ∙∙∙      ∙ ∙                                   ∙          ∙∙∙∙∙∙∙∙         ∙    ∙         ∙ ∙ ∙∙∙∙  ∙∙∙∙∙                             ∙∙∙∙       ∙     ∙                ∙∙                        ∙∙∙∙∙∙∙∙   ∙         ∙∙∙∙∙∙∙∙∙                       ∙  ∙               ∙∙                                   ∙                      ∙                          ∙         ∙                                         ∙∙ ∙                ∙                                  ∙      ∙                ∙     ∙                   ∙ ∙∙∙∙∙∙   ∙                                         ∙  ∙               ∙                                  ∙∙∙    ∙                ∙                          ∙∙         ∙                                           ∙                ∙∙                                        ∙               ∙∙∙     ∙                   ∙         ∙∙∙                                          ∙                ∙                                         ∙                      ∙                                                                         ∙∙                                                          ∙                       ∙∙                                                                                                                                  ∙∙                        ∙                                                                                                                                           TimesNewRomanPS,18,12,0,0,0,0,0
  1193. $S_{X_i}^K=_{j=1}^M\sum W_{ij}X_j^k-\theta _{X_i}$SSƒáxx.╥∙                                                                                                                                                                                                                                                                                                                                          ∙∙  ∙∙                      ∙∙    ∙∙                                                                ∙∙                                                         ∙  ∙                         ∙    ∙                                                                  ∙                                                         ∙ ∙                         ∙∙   ∙                                                                  ∙                                                          ∙∙                         ∙ ∙  ∙∙               ∙∙∙∙∙∙∙∙∙                                          ∙ ∙∙                                               ∙∙∙∙ ∙  ∙∙                         ∙ ∙ ∙ ∙                ∙     ∙∙        ∙∙∙∙∙∙∙∙∙ ∙∙∙           ∙∙∙∙  ∙∙∙∙∙∙                       ∙∙∙∙                     ∙    ∙  ∙  ∙                        ∙ ∙∙  ∙                ∙      ∙         ∙    ∙    ∙             ∙     ∙  ∙∙                      ∙    ∙                    ∙    ∙  ∙  ∙                        ∙ ∙  ∙                  ∙               ∙    ∙   ∙               ∙   ∙  ∙ ∙                      ∙    ∙                     ∙    ∙ ∙∙∙ ∙∙∙                     ∙∙ ∙ ∙∙∙                  ∙              ∙   ∙∙  ∙                ∙  ∙   ∙ ∙∙                    ∙      ∙                     ∙                                                           ∙              ∙  ∙ ∙  ∙                ∙ ∙                            ∙      ∙                      ∙                     ∙∙∙∙∙∙∙∙∙                             ∙             ∙  ∙ ∙ ∙                  ∙                             ∙∙∙∙∙∙∙∙                       ∙                                                          ∙             ∙ ∙  ∙ ∙                 ∙∙                             ∙      ∙                        ∙                                                        ∙              ∙∙   ∙∙       ∙  ∙      ∙ ∙               ∙∙∙∙∙∙∙∙∙     ∙      ∙   ∙∙∙ ∙∙         ∙     ∙                   ∙∙∙∙∙∙∙∙∙                            ∙              ∙   ∙∙                 ∙  ∙                             ∙      ∙    ∙  ∙          ∙     ∙   ∙∙∙ ∙∙                       ∙         ∙            ∙      ∙        ∙   ∙                 ∙    ∙      ∙                      ∙    ∙     ∙ ∙         ∙ ∙∙   ∙     ∙  ∙                                 ∙∙           ∙      ∙∙       ∙    ∙        ∙∙  ∙   ∙     ∙                             ∙    ∙      ∙           ∙  ∙∙∙      ∙ ∙                                   ∙           ∙∙∙∙∙∙∙∙        ∙    ∙         ∙ ∙  ∙∙∙∙  ∙∙∙∙∙                            ∙∙∙∙      ∙∙                        ∙                          ∙ ∙∙∙∙∙∙  ∙          ∙∙∙∙∙∙∙∙∙                      ∙  ∙                 ∙                                ∙ ∙     ∙                 ∙∙                         ∙          ∙                                         ∙∙ ∙                ∙                                ∙  ∙                      ∙ ∙     ∙                   ∙  ∙∙∙∙∙∙  ∙                                         ∙  ∙                ∙                               ∙∙  ∙∙    ∙               ∙  ∙                         ∙          ∙                                           ∙                 ∙                                        ∙               ∙∙  ∙∙    ∙                   ∙         ∙∙∙                                          ∙                 ∙                                        ∙∙                       ∙                   ∙                                                     ∙∙                 ∙                                         ∙                        ∙∙                  ∙                                                                        ∙                                                                  ∙                 ∙∙                                                                       ∙∙                                                 TimesNewRomanPS,18,12,0,0,0,0,0
  1194. $(_{j=1}^M\sum W_{ij}Y_j^k-\theta _{X_i})X_i^k>0$SS»░xx.╥∙                                                                                                                                                                                                                                                                                                                                                                         ∙∙    ∙∙                                                          ∙∙                                                               ∙∙                                            ∙    ∙                                                            ∙                                                                ∙                                           ∙∙   ∙                                                            ∙                                                                ∙                                           ∙ ∙  ∙∙          ∙∙∙∙∙∙∙∙∙                                         ∙ ∙∙                                                             ∙ ∙∙                                    ∙   ∙ ∙ ∙ ∙           ∙     ∙∙        ∙∙∙∙∙∙∙∙∙ ∙∙∙          ∙∙∙∙∙ ∙∙∙∙∙∙                        ∙∙∙∙                 ∙       ∙∙∙∙  ∙∙∙∙∙∙                         ∙∙          ∙    ∙ ∙∙  ∙           ∙      ∙         ∙    ∙    ∙             ∙    ∙  ∙∙                       ∙    ∙                 ∙       ∙     ∙  ∙∙                        ∙  ∙        ∙     ∙ ∙  ∙             ∙               ∙    ∙   ∙              ∙    ∙ ∙ ∙                       ∙    ∙                  ∙       ∙   ∙  ∙ ∙                       ∙    ∙       ∙    ∙∙ ∙ ∙∙∙             ∙              ∙   ∙∙  ∙                ∙  ∙  ∙ ∙∙                     ∙      ∙                 ∙       ∙  ∙   ∙ ∙∙        ∙             ∙    ∙      ∙                          ∙              ∙  ∙ ∙  ∙                ∙ ∙                            ∙      ∙                  ∙      ∙ ∙                 ∙∙          ∙∙    ∙∙     ∙                           ∙             ∙  ∙ ∙ ∙                 ∙∙                             ∙∙∙∙∙∙∙∙                  ∙       ∙                    ∙∙        ∙∙    ∙∙     ∙                           ∙             ∙ ∙  ∙ ∙                 ∙                              ∙      ∙                  ∙      ∙∙                      ∙∙      ∙∙    ∙∙     ∙                          ∙              ∙∙   ∙∙       ∙   ∙      ∙               ∙∙∙∙∙∙∙∙∙      ∙      ∙  ∙∙∙ ∙∙          ∙     ∙ ∙                        ∙∙    ∙∙    ∙∙     ∙                          ∙              ∙   ∙∙                   ∙                              ∙      ∙   ∙  ∙           ∙    ∙  ∙                      ∙∙       ∙    ∙      ∙       ∙         ∙       ∙      ∙        ∙   ∙                   ∙        ∙                       ∙    ∙    ∙ ∙            ∙   ∙    ∙      ∙            ∙∙         ∙    ∙      ∙                ∙∙      ∙      ∙∙       ∙    ∙        ∙∙   ∙     ∙                                ∙    ∙     ∙             ∙  ∙     ∙                 ∙∙            ∙  ∙       ∙                 ∙      ∙∙∙∙∙∙∙∙        ∙    ∙         ∙  ∙    ∙∙∙∙∙                               ∙∙∙∙     ∙∙             ∙∙∙∙∙  ∙∙∙∙∙              ∙               ∙∙         ∙      ∙∙∙∙∙∙∙   ∙     ∙∙∙∙∙∙∙∙∙                      ∙   ∙               ∙                                ∙ ∙     ∙      ∙               ∙∙                                    ∙     ∙          ∙                                    ∙∙  ∙              ∙                                ∙  ∙            ∙                ∙                                     ∙    ∙ ∙∙∙∙∙∙   ∙                                    ∙   ∙              ∙                               ∙∙  ∙∙    ∙     ∙                ∙                                       ∙   ∙          ∙                                       ∙               ∙                                        ∙     ∙                 ∙∙                                          ∙         ∙∙∙                                      ∙               ∙                                        ∙∙                      ∙                                          ∙                                                 ∙∙               ∙                                         ∙                                                                  ∙                                                                  ∙                                                                                                          ∙∙                                                                 ∙∙                                                                                                      TimesNewRomanPS,18,12,0,0,0,0,0
  1195. $(_{i=1}^N\sum W_{ij}X_i^K-\theta _{Y_j})Y_j^k>0$SS▒▓xx.╥∙                                                                                                                                                                                                                                                                                                                                                                          ∙∙   ∙∙                                                              ∙∙  ∙∙                                                           ∙∙                                           ∙  ∙                                                               ∙  ∙                                                              ∙                                          ∙∙  ∙                                                               ∙ ∙                                                              ∙                                           ∙ ∙ ∙           ∙∙∙∙∙∙∙∙∙                                           ∙∙                                                               ∙ ∙∙                                   ∙   ∙  ∙ ∙            ∙     ∙∙        ∙∙∙∙∙∙∙∙∙ ∙∙∙           ∙∙∙∙  ∙∙∙∙ ∙∙                         ∙∙∙∙                 ∙      ∙∙∙∙∙ ∙∙∙∙∙∙                          ∙∙        ∙    ∙  ∙∙             ∙      ∙         ∙    ∙    ∙             ∙     ∙  ∙  ∙                       ∙    ∙                 ∙       ∙    ∙  ∙∙                         ∙  ∙      ∙     ∙   ∙              ∙               ∙    ∙   ∙               ∙   ∙   ∙  ∙                       ∙    ∙                  ∙      ∙    ∙ ∙ ∙                        ∙    ∙     ∙    ∙∙   ∙               ∙              ∙   ∙∙  ∙                ∙  ∙   ∙∙∙ ∙∙∙                    ∙      ∙                 ∙       ∙  ∙  ∙ ∙∙        ∙              ∙    ∙    ∙                          ∙              ∙  ∙ ∙  ∙                ∙ ∙                               ∙      ∙                  ∙      ∙ ∙                ∙∙           ∙∙    ∙∙   ∙                           ∙             ∙  ∙ ∙ ∙                  ∙                                ∙∙∙∙∙∙∙∙                  ∙      ∙∙                   ∙∙         ∙∙    ∙∙    ∙                           ∙             ∙ ∙  ∙ ∙                 ∙∙                                ∙      ∙                  ∙      ∙                      ∙∙       ∙∙    ∙∙    ∙                          ∙              ∙∙   ∙∙       ∙   ∙     ∙ ∙                  ∙∙∙∙∙∙∙∙∙     ∙      ∙   ∙∙∙ ∙∙         ∙      ∙                        ∙∙     ∙∙    ∙∙    ∙                          ∙              ∙   ∙∙                 ∙  ∙                                ∙      ∙    ∙  ∙          ∙      ∙                      ∙∙        ∙    ∙     ∙       ∙         ∙       ∙      ∙        ∙   ∙                 ∙    ∙      ∙                         ∙    ∙     ∙ ∙           ∙     ∙        ∙            ∙∙          ∙    ∙     ∙                ∙∙      ∙      ∙∙       ∙    ∙        ∙∙   ∙  ∙     ∙                                ∙    ∙      ∙∙           ∙     ∙                   ∙∙             ∙  ∙      ∙                 ∙      ∙∙∙∙∙∙∙∙        ∙    ∙         ∙  ∙ ∙∙∙∙  ∙∙∙∙∙                               ∙∙∙∙       ∙      ∙     ∙   ∙∙∙∙∙                ∙                ∙∙       ∙     ∙∙∙∙∙∙∙∙   ∙     ∙∙∙∙∙∙∙∙∙                      ∙   ∙               ∙∙                                     ∙           ∙               ∙                                    ∙      ∙         ∙                                    ∙∙  ∙                ∙                                    ∙       ∙    ∙              ∙                                      ∙    ∙ ∙∙∙∙∙∙   ∙                                    ∙   ∙               ∙                                    ∙∙∙     ∙    ∙               ∙                                       ∙   ∙∙         ∙                                       ∙                ∙∙                                           ∙   ∙                ∙                                           ∙         ∙∙∙                                      ∙                ∙                                            ∙                    ∙                                                                                            ∙∙                                                             ∙                    ∙                                                                                                                                                          ∙∙                     ∙                                                                                                                                                                               ∙∙                                     TimesNewRomanPS,18,12,0,0,0,0,0
  1196. $\Delta \theta X_i=+(\lambda /(1+M))[S_{X_i}^k-\xi X_i^k]$SSΓΓxx.╥∙                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       ∙∙                                                 ∙∙                                                                                                                                                                              ∙                                                  ∙                                                                                                                                                                             ∙                                                  ∙                                                                                                                                                                              ∙ ∙∙                                               ∙ ∙∙             ∙        ∙∙∙∙     ∙∙∙∙  ∙∙∙∙                                     ∙    ∙∙         ∙    ∙     ∙                        ∙∙∙       ∙∙∙∙     ∙     ∙∙∙      ∙∙∙∙ ∙ ∙∙                             ∙∙        ∙∙∙∙  ∙∙∙∙∙∙   ∙∙∙         ∙       ∙    ∙     ∙     ∙                                      ∙    ∙  ∙        ∙   ∙   ∙∙∙∙                          ∙       ∙   ∙     ∙    ∙       ∙    ∙  ∙∙                             ∙  ∙∙      ∙     ∙  ∙∙     ∙        ∙ ∙      ∙    ∙      ∙   ∙                                      ∙     ∙  ∙       ∙   ∙      ∙∙                         ∙∙      ∙∙    ∙     ∙   ∙       ∙    ∙ ∙ ∙                              ∙∙∙        ∙   ∙  ∙ ∙     ∙        ∙ ∙     ∙      ∙     ∙  ∙                               ∙       ∙        ∙       ∙   ∙      ∙∙           ∙             ∙∙     ∙∙     ∙     ∙   ∙       ∙    ∙ ∙ ∙∙                             ∙          ∙  ∙   ∙ ∙∙    ∙       ∙   ∙    ∙      ∙     ∙ ∙                                ∙      ∙         ∙∙      ∙  ∙       ∙∙           ∙            ∙ ∙    ∙ ∙      ∙     ∙  ∙        ∙                                       ∙∙∙       ∙ ∙            ∙       ∙   ∙    ∙∙∙∙∙∙∙∙      ∙              ∙∙∙∙∙∙∙∙∙          ∙      ∙         ∙∙     ∙   ∙       ∙∙           ∙            ∙ ∙   ∙  ∙      ∙     ∙  ∙         ∙                                     ∙           ∙             ∙       ∙   ∙    ∙      ∙     ∙∙                                 ∙      ∙        ∙ ∙     ∙   ∙       ∙∙           ∙            ∙ ∙   ∙  ∙      ∙     ∙  ∙          ∙                                   ∙           ∙∙             ∙      ∙     ∙   ∙      ∙    ∙ ∙       ∙                     ∙∙∙∙∙∙∙∙∙  ∙       ∙  ∙    ∙    ∙       ∙∙       ∙∙∙∙∙∙∙∙∙       ∙  ∙∙ ∙  ∙       ∙     ∙  ∙           ∙                  ∙∙∙∙∙∙∙∙∙      ∙           ∙ ∙             ∙      ∙     ∙   ∙      ∙   ∙  ∙              ∙∙∙∙∙∙∙∙∙          ∙      ∙       ∙  ∙    ∙    ∙       ∙∙           ∙           ∙  ∙∙∙   ∙       ∙     ∙  ∙     ∙     ∙                                 ∙          ∙  ∙             ∙     ∙       ∙   ∙    ∙   ∙    ∙                                ∙      ∙      ∙   ∙  ∙ ∙    ∙       ∙∙           ∙           ∙   ∙    ∙       ∙     ∙  ∙     ∙     ∙   ∙∙∙ ∙∙                        ∙         ∙    ∙      ∙     ∙     ∙       ∙   ∙    ∙  ∙     ∙     ∙∙                         ∙      ∙      ∙    ∙ ∙∙     ∙       ∙∙           ∙           ∙   ∙   ∙        ∙     ∙  ∙     ∙∙   ∙     ∙  ∙                         ∙∙       ∙     ∙            ∙    ∙∙∙∙∙∙∙∙∙∙∙   ∙∙∙∙ ∙∙∙∙  ∙∙∙∙∙    ∙                         ∙      ∙     ∙     ∙∙ ∙     ∙      ∙∙∙∙          ∙         ∙∙∙∙ ∙   ∙∙∙∙      ∙     ∙  ∙    ∙  ∙∙∙      ∙ ∙                           ∙∙∙∙∙ ∙∙∙∙  ∙∙∙∙∙          ∙                                     ∙                                  ∙                    ∙                                               ∙     ∙   ∙                 ∙                                 ∙              ∙∙     ∙                                     ∙∙                                 ∙                    ∙                                               ∙     ∙   ∙                ∙∙     ∙                           ∙               ∙     ∙                                     ∙                                   ∙                    ∙                                             ∙     ∙    ∙               ∙ ∙                                 ∙              ∙      ∙                                                                          ∙                    ∙                                           ∙     ∙     ∙∙∙            ∙  ∙     ∙                        ∙∙∙               ∙∙   ∙∙∙                                                                                                                                                                     ∙∙  ∙∙   ∙                                           ∙                                                                                                                                                                                     ∙∙                                                                                                                                                                                                                                ∙                                                                                                                                                                                                                                                                                         TimesNewRomanPS,18,12,0,0,0,0,0
  1197. $\Delta W_{ij}=-(\lambda /(1+M))[S_{X_i}^k-\xi X_i^k]Y_j^k$SS±≥xx.╥∙                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     ∙∙                                                ∙∙                     ∙∙                                                                                                                                                                        ∙                                                 ∙                      ∙                                                                                                                                                                       ∙                                                 ∙                      ∙                                                                                                                                                                        ∙ ∙∙                                              ∙ ∙∙                   ∙ ∙∙         ∙        ∙∙∙∙∙∙∙∙∙ ∙∙∙                                         ∙   ∙∙         ∙    ∙     ∙                         ∙∙∙       ∙∙∙∙     ∙     ∙∙∙      ∙∙∙∙ ∙ ∙∙                             ∙∙       ∙∙∙∙  ∙∙∙∙∙∙    ∙∙∙    ∙∙∙∙∙ ∙∙∙∙∙∙           ∙         ∙    ∙    ∙                                         ∙   ∙  ∙        ∙   ∙   ∙∙∙∙                           ∙       ∙   ∙     ∙    ∙       ∙    ∙  ∙∙                             ∙  ∙∙     ∙     ∙  ∙∙      ∙      ∙    ∙  ∙∙          ∙ ∙        ∙    ∙   ∙                                         ∙    ∙  ∙       ∙   ∙      ∙∙                          ∙∙      ∙∙    ∙     ∙   ∙       ∙    ∙ ∙ ∙                              ∙∙∙       ∙   ∙  ∙ ∙      ∙      ∙    ∙ ∙ ∙          ∙ ∙        ∙   ∙∙  ∙                                          ∙       ∙       ∙   ∙      ∙∙            ∙             ∙∙     ∙∙     ∙     ∙   ∙       ∙    ∙ ∙ ∙∙                             ∙         ∙  ∙   ∙ ∙∙     ∙       ∙  ∙  ∙ ∙∙        ∙   ∙       ∙  ∙ ∙  ∙                                         ∙        ∙∙      ∙  ∙       ∙∙            ∙            ∙ ∙    ∙ ∙      ∙     ∙  ∙        ∙                                       ∙∙∙      ∙ ∙             ∙       ∙ ∙               ∙   ∙       ∙  ∙ ∙ ∙                ∙∙∙∙∙∙∙∙∙                 ∙        ∙∙     ∙   ∙       ∙∙            ∙            ∙ ∙   ∙  ∙      ∙     ∙  ∙         ∙                                     ∙          ∙              ∙       ∙∙                ∙   ∙       ∙ ∙  ∙ ∙                                          ∙       ∙ ∙     ∙   ∙       ∙∙            ∙            ∙ ∙   ∙  ∙      ∙     ∙  ∙          ∙                                   ∙          ∙∙              ∙       ∙                ∙     ∙      ∙∙   ∙∙       ∙  ∙                     ∙∙∙∙∙∙∙∙∙  ∙      ∙  ∙    ∙    ∙       ∙∙        ∙∙∙∙∙∙∙∙∙       ∙  ∙∙ ∙  ∙       ∙     ∙  ∙           ∙                  ∙∙∙∙∙∙∙∙∙      ∙          ∙ ∙              ∙       ∙                ∙     ∙      ∙   ∙∙                  ∙∙∙∙∙∙∙∙∙                 ∙      ∙  ∙    ∙    ∙       ∙∙            ∙           ∙  ∙∙∙   ∙       ∙     ∙  ∙     ∙     ∙                                 ∙         ∙  ∙              ∙       ∙               ∙       ∙     ∙   ∙                                             ∙     ∙   ∙  ∙ ∙    ∙       ∙∙            ∙           ∙   ∙    ∙       ∙     ∙  ∙     ∙     ∙   ∙∙∙ ∙∙                        ∙        ∙    ∙      ∙      ∙      ∙        ∙       ∙       ∙    ∙    ∙        ∙∙  ∙                                ∙     ∙    ∙ ∙∙     ∙       ∙∙            ∙           ∙   ∙   ∙        ∙     ∙  ∙     ∙∙   ∙     ∙  ∙                         ∙∙      ∙     ∙             ∙      ∙               ∙∙∙∙∙∙∙∙∙∙∙   ∙    ∙         ∙ ∙                                 ∙    ∙     ∙∙ ∙     ∙      ∙∙∙∙           ∙         ∙∙∙∙ ∙   ∙∙∙∙      ∙     ∙  ∙    ∙  ∙∙∙      ∙ ∙                           ∙∙∙∙∙∙∙∙∙  ∙∙∙∙∙           ∙    ∙∙∙∙∙                                         ∙  ∙                                  ∙                   ∙                                                ∙     ∙   ∙                 ∙                                 ∙             ∙∙      ∙               ∙                                  ∙∙ ∙                                  ∙                   ∙                                                ∙     ∙   ∙                ∙∙                                 ∙              ∙      ∙              ∙                                   ∙  ∙                                   ∙                   ∙                                              ∙     ∙    ∙               ∙ ∙     ∙                           ∙             ∙       ∙              ∙                                     ∙                                     ∙                   ∙                                            ∙     ∙     ∙∙∙            ∙  ∙                              ∙∙∙              ∙∙    ∙∙∙              ∙                                     ∙                                                                                                                                ∙∙  ∙∙    ∙                                         ∙                      ∙                                   ∙∙                                                                                                                                          ∙                                                                ∙                                                                                                                                                                                ∙∙                                                               ∙                                                                                                                                                                                ∙                                                              ∙∙                                                                                                                                                                                                                                                           TimesNewRomanPS,18,12,0,0,0,0,0
  1198. $S_{X_I}^k*X_I^k\leq 0$SSYZxx.╥∙                                                                                                                                                                                  ·           ∙∙                                        ∙∙                                              ∙                                         ∙                                             ∙                                         ∙                                   °           ∙ ∙∙                                      ∙ ∙∙                                °    ∙∙∙∙ ∙ ∙∙                              ∙∙∙∙  ∙∙∙∙∙∙                          ∙∙         ∙    ∙  ∙∙                               ∙     ∙  ∙∙                 ∙       ∙  ∙        ∙    ∙ ∙ ∙                                ∙   ∙  ∙ ∙               ∙∙       ∙    ∙       ∙    ∙ ∙ ∙∙                 ∙             ∙  ∙   ∙ ∙∙            ∙∙         ∙    ∙        ∙                       ∙∙ ∙ ∙∙          ∙ ∙                  ∙∙          ∙∙    ∙∙        ∙                       ∙∙∙∙∙            ∙                 ∙∙            ∙∙    ∙∙         ∙                      ∙∙∙∙∙           ∙∙                   ∙∙          ∙∙    ∙∙          ∙                    ∙∙ ∙ ∙∙         ∙ ∙                     ∙∙        ∙∙    ∙∙    ∙     ∙                       ∙           ∙  ∙                       ∙∙       ∙    ∙     ∙     ∙   ∙∙∙ ∙∙                         ∙    ∙      ∙∙                ∙      ∙    ∙     ∙∙   ∙     ∙  ∙                         ∙     ∙      ∙                         ∙  ∙     U∙  ∙∙∙      ∙ ∙                        ∙∙∙∙  ∙∙∙∙∙    ∙         ∙∙∙∙∙∙∙∙∙        ∙∙      í             ∙                                        ∙                                               ∙∙      ∙∙                               ∙                                   ║           ∙ ∙      ∙                                ∙                                   ê          ∙  ∙      ∙                                ∙                                   G         ∙∙  ∙∙    ∙                                ∙∙                                                      ∙                                                                     ÷                  ∙∙                                                                     F                                                                                         G
  1199. [Embedded]
  1200. 9 .tex 10967 83 11050 4126 
  1201. 8 .tex 15176 83 15259 4178 
  1202. 7 .tex 19437 82 19519 4594 
  1203. 6 .tex 24113 82 24195 4646 
  1204. 5 .tex 28841 91 28932 5894 
  1205. 4 .tex 34826 92 34918 6552 
  1206. 3 .tex 41470 56 41526 2358 
  1207. 00043886
  1208.