白新岭同学没有话说？

qingjiao · 发表于 2011-7-5 11:26

下面引用由天山草在 2011/07/05 07:01am 发表的内容：
这是用 VB6 语言写的，跟 basic 大概是同一个老爹。速度么，应该是比不上 C 系列的，优点是比较好学，易懂，上手快。
现在的windows xp还有自带basic程序吗？好像没有吧，basic 这小子好像是死了。

VB大概就叫Visual Basic吧？这是编译的吧？以前那个basic是解释的，所以特慢。
C也学过一点，当然是比较简单的，因为软件不是我们专业的主要课程。
后来工作不需要，就更是丢荒了。

ysr · 发表于 2011-7-5 12:09

我有VB6光盘，不会用，没书工作忙没法学，可惜许多公式方法无法验证，各位大虾能指点1二吗？

天山草 · 发表于 2011-7-5 12:31

下面引用由ysr在 2011/07/05 00:09pm 发表的内容：
我有VB6光盘，不会用，没书工作忙没法学，可惜许多公式方法无法验证，各位大虾能指点1二吗？

先安装到电脑上，不用买书了，在网上查一下如何用，等于买书。

天山草 · 发表于 2011-7-5 12:34

那个 700 分点的计算结果有了：

  序号    x          π(x)          Li(x)             (Li(x)-π(x))/(√x/lnx)
----------------------------------------------------------------------------------
  0    10             4          5.12043572466981       .815835569968674
  1    10.2877       4          5.24461535171245       .904500436134722
  2    10.5837       4          5.37083218729757       .994148992062775
  3    10.8882       4          5.4991217856109       1.08476315550064
  4    11.2015       5          5.62956003609855       .454469313123622
  5    11.5238       5          5.76217901585698       .548825113680318
  6    11.8553       5          5.89700995512113       .644207229729871
  7    12.1964       5          6.03416326117454       .740647260755215
  8    12.5473       5          6.17366595820137       .838117667774269
  9    12.9083       5          6.31558360855643       .936617966888073
  10 13.2797       6          6.45997954638983       .326446964220791
  11 13.6618       6          6.60691501197918       .429318670592525
  12 14.0549       6          6.75644927781699       .533283743764069
  13 14.4593       6          6.90863976707316       .638332440740243
  14 14.8753       6          7.06354216497627       .744453701124615
  15 15.3033       6          7.22124717960848       .851660092452729
  16 15.7436       6          7.38180619708641       .959936930894303
  17 16.1965       6          7.54526920840929       1.06926861595188
  18 16.6625       6          7.71175598942833       1.17968569828722
  19 17.1419       7          7.88131186391635       .604855640837036
  20 17.6351       7          8.05401593220519       .720316975867422
  21 18.1425       7          8.22994493089921       .836900895012451
  22 18.6645       7          8.40917336375982       .95460361542016
  23 19.2015       8          8.59177362549073       .399065154291498
  24 19.754          8          8.77784963821211       .522123463152632
  25 20.3223       8          8.96743577311167       .646323778363353
  26 20.907          8          9.16066458168543       .771696375426796
  27 21.5085       8          9.35759932683863       .898225435493341
  28 22.1274       8          9.55836633914978       1.02593503305856
  29 22.764          8          9.76299218234485       1.15478512684698
  30 23.419          9          9.97163013122471       .633163979045473
  31 24.0928       9          10.1843345492549       .767748660581596
  32 24.786          9          10.4012210274781       .903537533443436
  33 25.4991       9          10.6223710914964       1.04052105353795
  34 26.2327       9          10.8478949183656       1.17870683853187
  35 26.9875       9          11.0779301238468       1.31811801418486
  36 27.764          9          11.3125503524058       1.45873785037804
  37 28.5628       9          11.5518575009051       1.60056628982373
  38 29.3846       10       11.7959805546314       1.12000230943512
  39 30.23          10       12.0450158109584       1.26789576856712
  40 31.0998       11       12.2991155305632       .800707608229185
  41 31.9946       11       12.5583702483938       .95478727588409
  42 32.9151       11       12.8228971653099       1.11014311219894
  43 33.8621       11       13.0928390976388       1.26679048987867
  44 34.8364       11       13.3683353139316       1.42474121783142
  45 35.8387       11       13.6494937590889       1.58398808789384
  46 36.8698       11       13.9364477520853       1.74453754147925
  47 37.9306       12       14.2293550210929       1.31607114591607
  48 39.0219       12       14.5283422007479       1.4830360049733
  49 40.1446       12       14.8335602162655       1.6513455629459
  50 41.2997       13       15.145183383841       1.24203475767556
  51 42.4879       13       15.4633018636752       1.41685644395403
  52 43.7103       14       15.7881101503351       1.02168373364235
  53 44.968          14       16.1197981139113       1.20311162244054
  54 46.2618       14       16.4584729584175       1.3859326891302
  55 47.5928       15       16.804317618289       1.01025558519539
  56 48.9621       15       17.157510927153       1.19974627402338
  57 50.3708       15       17.5182277959513       1.39067762553042
  58 51.82          15       17.8866393841232       1.58305626225054
  59 53.311          16       18.2629635642404       1.23234159720313
  60 54.8448       16       18.6473384396385       1.43149829577843
  61 56.4228       16       19.0399987551843       1.63215225781255
  62 58.0462       16       19.4411248166744       1.83430733618984
  63 59.7162       17       19.8508933163783       1.50874578825827
  64 61.4344       18       20.2695746264508       1.19239961974058
  65 63.2019       18       20.6973125697326       1.40679407358552
  66 65.0203       18       21.1343682921267       1.62274680852555
  67 66.8911       18       21.580973586343       1.84027679770978
  68 68.8156       19       22.0373082793331       1.54928969399977
  69 70.7956       19       22.503666326499       1.77381569815871
  70 72.8325       20       22.9802421944731       1.49747700848052
  71 74.928          21       23.4672963357214       1.23036444085343
  72 77.0837       21       23.9650610115379       1.46734193086059
  73 79.3016       22       24.4738555773089       1.21489430642775
  74 81.5832       22       24.9938792466999       1.45897143691998
  75 83.9305       23       25.5254407135074       1.22118068799763
  76 86.3453       23       26.0687977023714       1.47239215379333
  77 88.8295       23       26.6242254867748       1.72530330012618
  78 91.3853       24       27.1920606774279       1.50764420495184
  79 94.0146       24       27.7725672938376       1.76776733878337
  80 96.7195       24       28.3660484273212       2.02964544685206
  81 99.5023       25       28.9728450826          1.83214553215485
  82 102.3651       26       29.5932486429281       1.64382613666678
  83 105.3103       27       30.2276097966157       1.46468272552555
  84 108.3403       28       30.8762727603669       1.29470355934638
  85 111.4574       29       31.539554308847       1.13386066037231
  86 114.6642       30       32.2178289987148       .98214679601322
  87 117.9632       30       32.9114436516437       1.27875524647642
  88 121.3572       30       33.6208015820845       1.57724447739345
  89 124.8489       30       34.3462781258447       1.87763783705602
  90 128.4409       31       35.0882215122307       1.7515152532142
  91 132.1364       32       35.847097037178       1.63449224307498
  92 135.9381       32       36.6232598080656       1.94784193016739
  93 139.8493       34       37.4171806116191       1.42762596789095
  94 143.873       34       38.2292615459336       1.75201514867225
  95 148.0124       34       39.0599380845067       2.07841003863438
  96 152.2709       36       39.9096781960457       1.59230317173652
  97 156.652       36       40.7789617092844       1.92975919094934
  98 161.1591       37       41.668240694621       1.86893410252675
  99 165.7959       38       42.5780185661388       1.8170878820501
  100 170.5661       39       43.508790355653       1.77420045774922
  101 175.4736       40       44.461081714348       1.7402586970662
  102 180.5222       41       45.435390408055       1.71523434202318
  103 185.7161       42       46.432282853168       1.69912010298089
  104 191.0594       43       47.4522971439759       1.69189331258725
  105 196.5565       44       48.4960196309133       1.69354422748989
  106 202.2117       46       49.5640083673751       1.33068138410198
  107 208.0297       46       50.6568876119116       1.72339841469094
  108 214.015       47       51.7752343424452       1.75156791963802
  109 220.1725       47       52.9196908053706       2.15209552975535
  110 226.5072       48       54.0909075677398       2.19463715320281
  111 233.0242       51       55.2895433838505       1.53178591526287
  112 239.7286       52       56.5162468182838       1.59830355633951
  113 246.626       53       57.7717473739251       1.67356248811069
  114 253.7218       54       59.0567270671069       1.75754075412638
  115 261.0217       55       60.3719115816345       1.85022598948519
  116 268.5317       56       61.7180692533695       1.95161451811842
  117 276.2578       58       63.0959567197941       1.72348649379268
  118 284.2061       61       64.5063370094553       1.1750661636929
  119 292.3832       61       65.9500499265502       1.64374237920693
  120 300.7955       62       67.4278875738291       1.78591061483162
  121 309.4498       63       68.940700258532       1.93669174710757
  122 318.3532       66       70.4893778122998       1.45008123583254
  123 327.5127       66       72.0747796628739       1.94405940004176
  124 336.9357       67       73.6978215954816       2.12361113885178
  125 346.6298       68       75.359440298348       2.31173641246337
  126 356.6029       71       77.0606099875615       1.88604356621464
  127 366.8629       72       78.8022908163333       2.09711541518342
  128 377.4181       74       80.585496744164       2.01130256652918
  129 388.277       76       82.4112608294154       1.93974265138234
  130 399.4483       78       84.2806348995922       1.88237522038929
  131 410.941       80       86.1947058496669       1.83914336251696
  132 422.7644       82       88.1545949472569       1.80999325578907
  133 434.928       84       90.1614407001291       1.79486907535764
  134 447.4415       86       92.2163985887011       1.79371289400469
  135 460.3151       88       94.3206897337739       1.80647818964637
  136 473.5591       91       96.4755345919383       1.55002839775998
  137 487.1841       93       98.6821854297806       1.59317768657078
  138 501.2011       95       100.941941827833       1.650075338464
  139 515.6214       97       103.256133742047       1.72067529506814
  140 530.4566       99       105.626120968028       1.80493189561929
  141 545.7186       100       108.053292623639       2.17257426170057
  142 561.4198       102       110.539098242704       2.28141361686561
  143 577.5727       106       113.084983683653       1.87461909054456
  144 594.1903       108       115.692454000577       2.01563838236667
  145 611.2861       111       118.363072302309       1.9106085677879
  146 628.8737       114       121.098396572045       1.82401911949746
  147 646.9673       117       123.900057206963       1.75577912138046
  148 665.5816       121       126.769740233997       1.45382837932197
  149 684.7313       124       129.709109702873       1.42448122398667
  150 704.4321       126       132.719960847571       1.66026845614566
  151 724.6997       128       135.804065608871       1.90918316932943
  152 745.5504       132       138.963264043403       1.68673404086873
  153 767.001       135       142.199448013459       1.72676016135976
  154 789.0687       138       145.514545298064       1.78454167396858
  155 811.7714       141       148.91056382141       1.86000763157309
  156 835.1273       145       152.38953071854       1.72028205213555
  157 859.1552       149       155.953536553922       1.6027151062101
  158 883.8744       153       159.604719476831       1.50717992616454
  159 909.3048       155       163.345279135295       1.88540275925286
  160 935.4669       158       167.177475632108       2.05272855174425
  161 962.3817       162       171.103613955394       2.01585674191382
  162 990.0708       166       175.126057794291       2.0005951162541
  163 1018.5567       170       179.247271897508       2.00683842393031
  164 1047.8621       175       183.469719610023       1.81963102287419
  165 1078.0106       180       187.795963404179       1.65803003607257
  166 1109.0266       186       192.228648874613       1.31134684538749
  167 1140.935       189       196.770460716268       1.6194386828605
  168 1173.7614       193       201.424150511068       1.73792418211578
  169 1207.5323       197       206.192563855329       1.8772466302466
  170 1242.2748       203       211.078596668031       1.63302803186942
  171 1278.0169       206       216.085236426234       2.01794789521647
  172 1314.7874       214       221.21554673166       1.42906645261446
  173 1352.6158       217       226.472652249371       1.8569804014604
  174 1391.5326       221       231.859779271209       2.10718441275504
  175 1431.5691       226       237.380226528648       2.1856046425988
  176 1472.7575       233       243.037377819579       1.90797861792528
  177 1515.131       240       248.834714350156       1.66215571194666
  178 1558.7236       245       254.775785992297       1.82033086097003
  179 1603.5704       252       260.86425096371       1.63362991940851
  180 1649.7075       259       267.103860612329       1.47812162987309
  181 1697.1721       265       273.49847145184       1.53411964312619
  182 1746.0023       271       280.052016745232       1.61717733132136
  183 1796.2374       278       286.768545468408       1.55034185272733
  184 1847.9179       283       293.652220518126       1.86389502814519
  185 1901.0853       291       300.707290481069       1.68094901714646
  186 1955.7824       297       307.938128023          1.87442731035852
  187 2012.0532       305       315.349214845891       1.75507631967627
  188 2069.943       312       322.945153185427       1.83682343397142
  189 2129.4984       320       330.730664015658       1.78206332306284
  190 2190.7672       327       338.710572304231       1.92450782031808
  191 2253.7989       335       346.889870320737       1.93356060987055
  192 2318.6441       344       355.273637607844       1.81417005030708
  193 2385.355       354       363.867104156746       1.57119853600837
  194 2453.9852       363       372.675622536841       1.52455089936318
  195 2524.5901       369       381.704717234452       1.9808150642886
  196 2597.2264       378       390.960018464735       1.99937735643051
  197 2671.9525       387       400.447311484772       2.05271750784472
  198 2748.8286       400       410.172546976537       1.53646398647244
  199 2827.9165       410       420.141813472713       1.51565965129151
  200 2909.2799       421       430.361373075881       1.38424664480924
  201 2992.9843       429       440.837646457894       1.73189536851691
  202 3079.097       440       451.577210641567       1.67585764888318
  203 3167.6872       448       462.58680925021       2.0891277053778
  204 3258.8264       460       473.87339964392       1.96586500386908
  205 3352.5877       472       485.444063573646       1.88478634630742
  206 3449.0467       482       497.306116137207       2.12301001847779
  207 3548.281       497       509.467041213258       1.71080549614386
  208 3650.3704       510       521.934513590931       1.62026831263135
  209 3755.397       522       534.716408510059       1.70799450556015
  210 3863.4455       536       547.820835237754       1.57074173081177
  211 3974.6026       549       561.256061378793       1.61115397652707
  212 4088.9579       562       575.0306191279          1.694632707569
  213 4206.6034       575       589.153241597043       1.82089881308392
  214 4327.6337       591       603.632884060831       1.60785449947465
  215 4452.1463       605       618.478756694657       1.69708433132067
  216 4580.2412       619       633.700273630678       1.8309792256337
  217 4712.0217       635       649.3071449395          1.76283011548458
  218 4847.5936       650       665.309278248019       1.86597923606511
  219 4987.0662       667       681.716893747166       1.77442642036706
  220 5130.5516       685       698.540437936845       1.61495149858681
  221 5278.1653       699       715.790650774821       1.98095424975833
  222 5430.0261       716       733.478550121981       2.03980056377952
  223 5586.2561       737       751.615428108509       1.68719200116864
  224 5746.9812       756       770.212905356604       1.62293750527621
  225 5912.3305       777       789.282857507635       1.38732959821966
  226 6082.4371       793       808.837503886623       1.76939031942656
  227 6257.438       813       828.889391509951       1.7558857237162
  228 6437.4739       836       849.45136802772       1.47028976614203
  229 6622.6898       855       870.536646144167       1.6797192739591
  230 6813.2345       876       892.158742201176       1.72792713352303
  231 7009.2615       901       914.331574074057       1.41004592322296
  232 7210.9286       920       937.069410880184       1.78566446291929
  233 7418.3979       941       960.386868563035       2.00592207921327
  234 7631.8363       968       984.2989615191          1.66796525288712
  235 7851.4158       991       1008.82113097636       1.80375946662646
  236 8077.3128       1014       1033.96916171787       1.99901084592887
  237 8309.7093       1042       1059.75931093099       1.75828415812625
  238 8548.7922       1066       1086.20822480585       1.97876610541049
  239 8794.7538       1095       1113.33298886231       1.77540998059916
  240 9047.7921       1124       1141.15115541895       1.64268243091773
  241 9308.1107       1151       1169.68072681679       1.76947583654305
  242 9575.9191       1183       1198.94018262639       1.49324342813408
  243 9851.4327       1215       1228.9484737644       1.2922492957419
  244 10134.8733    1243       1259.72507096567       1.53237742316013
  245 10426.4689    1274       1291.28993674513       1.56662565554288
  246 10726.4541    1307       1323.66356256658       1.49317138808866
  247 11035.0704    1337       1356.86699463136       1.76051565817799
  248 11352.566       1371       1390.92180569047       1.74581532130311
  249 11679.1964    1401       1425.85015283202       2.15355783845335
  250 12015.2245    1440       1461.67478104075       1.8575310666219
  251 12360.9206    1475       1498.41901612605       1.98472319072993
  252 12716.5629    1518       1536.10681073068       1.51746700310349
  253 13082.4376    1556       1574.76274736305       1.55494777767301
  254 13458.8391    1595       1614.41205194265       1.59084920483503
  255 13846.0701    1636       1655.08059666725       1.546264734787
  256 14244.4424    1673       1696.79497607091       1.90681103982735
  257 14654.2765    1716       1739.58245668745       1.86869358976375
  258 15075.9021    1760       1783.47102120522       1.8390939013273
  259 15509.6586    1810       1828.48941189848       1.43256424588461
  260 15955.8948    1858       1874.66709068637       1.2769272318609
  261 16414.97       1901       1922.03434419163       1.59348116531169
  262 16887.2534    1947       1970.62221238206       1.76948313557431
  263 17373.1251    1996       2020.46258240613       1.81189226783129
  264 17872.9761    2048       2071.58817872558       1.72752772096387
  265 18387.2086    2106       2124.03258403458       1.30582650671549
  266 18916.2363    2152       2177.83025988253       1.84947969344974
  267 19460.4849    2206       2233.01658725914       1.9126739938925
  268 20020.3924    2263       2289.62788635766       1.86394567301014
  269 20596.4093    2322       2347.70142600191       1.77883761222322
  270 21188.999       2382       2407.27545306179       1.72964517534637
  271 21798.6384    2444       2468.38924146181       1.65018193955729
  272 22425.8181    2508       2531.08310050395       1.54418611228049
  273 23071.0427    2577       2595.39839308034       1.21689715239537
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  544 50291731.8636 3017533    3018010.10633278       1.19304740836919
  545 51738700.7899 3099053    3099540.5191291       1.20384019115446
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  569 102204444.0856 5881132    5881809.53742305       1.23599824375966
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  610 326998537.4398 17632376 17633492.1027973       1.21006435098727
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  621 446739149.7819 23689257 23690429.7414435       1.1051208540786
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  623 472815677.6284 24996706 24997779.0778773       .985723370205136
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  633 627886497.8434 32702960 32704154.3532332       .96557496441713
  634 645951738.748 33593834 33595291.7434053       1.16354319152918
  635 664536743.8617 34509690 34510787.5089306       .864881991276408
  636 683656467.5841 35449537 35451309.2986029       1.37889820851162
  637 703326294.5756 36416291 36417543.1058914       .961793964999335
  638 723562052.1364 37408959 37410193.7740816       .936425707911825
  639 744380022.9419 38428515 38429985.5153651       1.10103058841318
  640 765796958.1447 39475333 39477662.4442613       1.72196887960228
  641 787830090.8533 40552081 40553989.1257458       1.39258684707354
  642 810497149.9986 41658474 41659751.1385036       .920226605843811
  643 833816374.5997 42794386 42795755.6537437       .974334846987505
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  645 882486915.1641 45159941 45161832.4241567       1.31149069672742
  646 907877393.8133 46391445 46393632.4198476       1.49743028674346
  647 933998394.8022 47657264 47659131.672509       1.26227084442941
  648 960870936.3595 48957537 48959254.5727632       1.14604985547696
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  650 1016957755.1243  51665685 51667196.6622685       .983136395117598
  651 1046217162.516 53075527 53076994.5367929       .942284606809728
  652 1076318407.1586  54523739 54525374.8886669       1.03700327842716
  653 1107285709.9787  56012327 56013396.3912347       .669260949576754
  654 1139143988.7754  57540305 57542146.8349344       1.13799733518914
  655 1171918878.2705  59111032 59112743.9298052       1.04425692149511
  656 1205636750.7352  60723998 60726336.1301342       1.40805674547573
  657 1240324737.2109  62381449 62384103.4819089       1.57819447219264
  658 1276010749.3399  64085196 64087258.4936396       1.21060325903769
  659 1312723501.8244  65835019 65837047.0312424       1.17519934262698
  660 1350492535.532 67632594 67634749.2376511       1.23298828223093
  661 1389348241.2655  69479175 69481680.4778087       1.41507819515864
  662 1429321884.2169  71376760 71379192.3097717       1.35623225608566
  663 1470445629.1251  73325950 73328673.4826475       1.4992163748559
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  678 2250260952.2202  109875141 109878100.211029       1.34335407294473
  679 2315004351.4487  112880965 112882635.236985       .748522528538119
  680 2381610515.8554  115966753 115969551.810396       1.2382596658155
  681 2450133040.0021  119137922 119141114.237589       1.39426130519647
  682 2520627060.4469  122396769 122399649.195886       1.24188380777347
  683 2593149300.1097  125746208 125747547.454992       .570159401445248
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  685 2744513535.7439  132718397 132721328.079239       1.21593944324878
  686 2823477326.7467  136349830 136352328.612536       1.02327014294368
  687 2904713025.0322  140080557 140082932.570929       .960429856463254
  688 2988285996.7972  143913332 143915878.719642       1.0164460091583
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  690 3162714683.0833  151896799 151900132.070715       1.29645234596246
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  693 3443632496.7008  164713025 164717000.140715       1.48755264409808
  694 3542710993.9347  169222977 169225888.80912       1.07568197215664
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  696 3749501918.6406  178616571 178618312.663528       .627025756409447
  697 3857380740.1556  183506029 183508750.065045       .967072502347443
  698 3968363397.9624  188531070 188533431.588258       .82855732881649
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  700 4199999999.9992  198996103 199000403.073804       1.47024154127539
--------------------------------------------------------------------------------

qingjiao · 发表于 2011-7-5 14:25

x=10~x=20.5万

qingjiao · 发表于 2011-7-17 20:17

白新岭同学来了？请发表高见。

simpley · 发表于 2011-7-18 02:39

下面引用由qingjiao在 2011/07/03 09:13pm 发表的内容：
熊校友：
第一个图，你的公式是π(x)=Li(x)-(√x+x^(1/3))/(lnx-1)
因此你的修正项主阶是√x/lnx，这和Li(x)-1.5√x/lnx之类没有什么区别，而且你的修正项都是光滑无振动函数，因此必然地，它与π(x)的差仍然在　...

在我第一次看到熊一兵这个公式时就是这么认为的.
它的结果总比Li(x)要小一些,这是因为在较小的范围内π(x)总比Li(x)小一些.
熊一兵总是用数据来证明他的理论正确,这实在是可笑.

qingjiao · 发表于 2011-7-18 09:58

下面引用由simpley在 2011/07/18 02:39am 发表的内容：
在我第一次看到熊一兵这个公式时就是这么认为的.
它的结果总比Li(x)要小一些,这是因为在较小的范围内π(x)总比Li(x)小一些.
熊一兵总是用数据来证明他的理论正确,这实在是可笑.

熊校友的公式是一种不太高明的拟合。
由于他没有意识到要算至少几百个点，所以对π(x)的振动性质没有概念。
他只想到将Li(x)减小一些，然后再想怎样用自己的理论去套这个减小的理由。

熊一兵 · 发表于 2011-7-21 08:42

下面引用由qingjiao在 2011/07/18 09:58am 发表的内容：
熊校友的公式是一种不太高明的拟合。
由于他没有意识到要算至少几百个点，所以对π(x)的振动性质没有概念。
他只想到将Li(x)减小一些，然后再想怎样用自己的理论去套这个减小的理由。

给熊校友一点时间让他慢慢成长，给熊校友一点空间让他细细展现。

任在深 · 发表于 2011-7-21 09:56

下面引用由qingjiao在 2011/07/18 09:58am 发表的内容：
熊校友的公式是一种不太高明的拟合。
由于他没有意识到要算至少几百个点，所以对π(x)的振动性质没有概念。
他只想到将Li(x)减小一些，然后再想怎样用自己的理论去套这个减小的理由。

拟合也罢，拼凑也罢？那是西方数学的必然！

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