Optimizacin Montecarlo Aproximar el valor Mnimo de la funcin f(x)=x4/4-17x3-/36+5x2/24 En el intervalo [-0.5,1.5]

n 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39

aleatorio 0.45759024 0.30700809 0.37534707 0.92002955 0.57718182 0.85478642 0.25871051 0.87650767 0.23331158 0.61207284 0.60529678 0.63751044 0.87243116 0.32773914 0.99503686 0.29372151 0.71926883 0.99217465 0.21443523 0.71230433 0.71824137 0.90869676 0.40896921 0.63488934 0.69158066 0.38788542 0.9988286 0.04236976 0.74919414 0.69716329 0.5390767 0.32735343 0.84086902 0.1076324 0.35333993 0.41614403 0.29763896 0.20310892 0.75294576

x 0.41518047 0.11401618 0.25069413 1.34005909 0.65436364 1.20957285 0.01742103 1.25301534 -0.03337684 0.72414568 0.71059355 0.77502087 1.24486232 0.15547828 1.49007372 0.08744303 0.93853765 1.48434929 -0.07112954 0.92460867 0.93648275 1.31739352 0.31793843 0.76977868 0.88316133 0.27577083 1.4976572 -0.41526048 0.99838828 0.89432658 0.5781534 0.15470686 1.18173804 -0.28473519 0.20667986 0.33228805 0.09527793 -0.09378216 1.00589153

f(x) 0.00954432 0 0.0020506 0 0.00664059 0 0.04393726 0 0.00273025 0 0.00426158 0 6.0754E-05 0 0.01435574 0 0.00024995 0 -0.00132544 0.72414568 -0.00049936 0 -0.00449556 0 0.01224595 0 0.00340741 0 0.13270259 0 0.00129186 0 -0.01290606 0 0.12826208 0 0.00123038 0 -0.01244918 0 -0.01284335 0 0.03490534 0 0.00843724 0 -0.00416774 0 -0.01070248 0 0.00738598 0 0.13872947 0 0.07717417 0 -0.01388813 0 -0.01122351 0 0.00631145 0 0.00338097 0 -0.00081477 0 0.02943479 0 0.00518637 0 0.00872539 0 0.00150339 0 0.00224115 0 -0.01387866 0

-1

40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86

0.66288269 0.66568993 0.29469439 0.35033508 0.79467416 0.09249111 0.29597875 0.1944987 0.04721411 0.41612069 0.46434671 0.09619256 0.14467393 0.7532588 0.68570477 0.55105889 0.87142754 0.90066654 0.50656928 0.58803679 0.22994025 0.99371479 0.06574773 0.78340209 0.43629777 0.04149279 0.89931296 0.99607051 0.80713294 0.81322584 0.1921335 0.98690629 0.68825878 0.20560952 0.97839946 0.02708171 0.02082298 0.40310527 0.81044471 0.20628562 0.26467398 0.92678544 0.67969925 0.98387189 0.13511794 0.23496081 0.04871351

0.82576538 0.83137986 0.08938878 0.20067017 1.08934832 -0.31501777 0.0919575 -0.1110026 -0.40557178 0.33224138 0.42869341 -0.30761488 -0.21065213 1.0065176 0.87140953 0.60211777 1.24285508 1.30133309 0.51313856 0.67607358 -0.04011949 1.48742959 -0.36850454 1.06680418 0.37259554 -0.41701442 1.29862593 1.49214101 1.11426589 1.12645167 -0.11573299 1.47381258 0.87651756 -0.08878096 1.45679892 -0.44583658 -0.45835404 0.30621053 1.12088942 -0.08742877 0.02934796 1.35357088 0.85939851 1.46774379 -0.22976411 -0.03007839 -0.40257298

-0.00759577 -0.00792424 0.00134333 0.00497878 -0.01116809 0.03789838 0.00141238 0.00325082 0.07253538 0.00872452 0.00952692 0.03569825 0.01415104 -0.01387635 -0.0101199 0.00530636 0.01174231 0.02909696 0.00838533 0.00152903 0.00036647 0.13063994 0.05653147 -0.01242491 0.00931425 0.07803497 0.02816444 0.13432915 -0.00925066 -0.00809406 0.00356731 0.12032948 -0.01037718 0.00198808 0.10816386 0.09313576 0.10027529 0.00817397 -0.00864058 0.00192264 0.00016769 0.04980824 -0.00949226 0.11589995 0.01742284 0.00020154 0.071139

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133

0.23177517 0.79922147 0.01627277 0.16841722 0.71641418 0.18840257 0.7451391 0.2979792 0.38234106 0.62508082 0.1264914 0.16995498 0.19228862 0.95085524 0.20287792 0.53167603 0.28658614 0.32192837 0.50579734 0.68246965 0.73436159 0.33005589 0.09719143 0.23592606 0.12779521 0.06932079 0.67238726 0.6656523 0.18904331 0.8969757 0.32058504 0.50377014 0.80285122 0.31499862 0.83195432 0.00813168 0.75042661 0.77329874 0.02371251 0.83210974 0.41208273 0.62356783 0.6994182 0.33460485 0.62277956 0.92642252 0.1030658

-0.03644966 1.09844295 -0.46745445 -0.16316556 0.93282836 -0.12319486 0.99027819 0.09595839 0.26468212 0.75016164 -0.24701719 -0.16009003 -0.11542276 1.40171049 -0.09424417 0.56335207 0.07317228 0.14385674 0.51159468 0.86493929 0.96872319 0.16011178 -0.30561714 -0.02814787 -0.24440959 -0.36135843 0.84477451 0.83130461 -0.12191338 1.29395141 0.14117008 0.50754027 1.10570245 0.12999724 1.16390864 -0.48373665 1.00085321 1.04659748 -0.45257498 1.16421948 0.32416547 0.74713565 0.8988364 0.1692097 0.74555912 1.35284504 -0.29386841

0.0003001 -0.01053536 0.10569596 0.00777497 -0.01272775 0.00410238 -0.01386181 0.00152228 0.00706582 -0.00293979 0.02076027 0.00744104 0.00354602 0.07390088 0.00226542 0.00687013 0.00093762 0.00301263 0.00842224 -0.00978558 -0.01361948 0.00356681 0.03511937 0.00017575 0.02023158 0.05374928 -0.00869002 -0.00791987 0.00400732 0.02658518 0.00292263 0.00851637 -0.00997557 0.00255467 -0.0035484 0.11589253 -0.01388868 -0.01320101 0.0969341 -0.00350404 0.00856702 -0.00275076 -0.01142418 0.00388211 -0.00265236 0.04948333 0.03183993

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180

0.45045683 0.42485341 0.5624866 0.7066593 0.19654852 0.72331112 0.60268786 0.72917237 0.56337811 0.75384134 0.05995454 0.7265426 0.77461593 0.02400624 0.17670479 0.92750681 0.60751404 0.53942489 0.73556393 0.49837715 0.0155365 0.22837638 0.49092917 0.96746049 0.91470326 0.55151451 0.51886309 0.56198112 0.11357919 0.82452538 0.00359275 0.71942157 0.00095721 0.34049745 0.14155643 0.76114678 0.65163525 0.55607224 0.68708843 0.81003625 0.87884948 0.2129071 0.98867054 0.16413258 0.74060558 0.25819212 0.31720818

0.40091365 0.34970681 0.62497319 0.91331859 -0.10690296 0.94662223 0.70537572 0.95834473 0.62675622 1.00768267 -0.38009093 0.95308521 1.04923186 -0.45198751 -0.14659041 1.35501362 0.71502808 0.57884977 0.97112785 0.49675431 -0.46892701 -0.04324723 0.48185835 1.43492097 1.32940652 0.60302902 0.53772618 0.62396223 -0.27284163 1.14905076 -0.49281449 0.93884314 -0.49808559 0.18099489 -0.21688714 1.02229355 0.80327049 0.61214448 0.87417687 1.12007251 1.25769895 -0.07418579 1.47734107 -0.17173483 0.98121116 0.01638424 0.13441636

0.00951467 0.00902141 0.00423986 -0.01202703 0.00299046 -0.01313611 -0.00018511 -0.01342019 0.00415252 -0.01387143 0.06124595 -0.01330022 -0.01311751 0.0965988 0.00607979 0.05045731 -0.00076819 0.00628397 -0.01365828 0.00874686 0.10659164 0.00042872 0.00901723 0.09364594 0.0395676 0.00526579 0.00771868 0.00428913 0.02648561 -0.00553815 0.12186241 -0.01291523 0.12542468 0.0042932 0.01517099 -0.01373802 -0.00624465 0.00485088 -0.01026004 -0.00871819 0.01561497 0.00134694 0.12295148 0.00875358 -0.01378939 5.3867E-05 0.00269889

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227

0.4614743 0.94570726 0.84310658 0.54624083 0.40603686 0.05629171 0.35390641 0.02794231 0.67553986 0.0001207 0.90082395 0.87627465 0.70530362 0.49371268 0.02996528 0.9577293 0.69383278 0.78446231 0.74223075 0.71979323 0.45021683 0.96812971 0.1510333 0.29924848 0.23708788 0.77411315 0.24140514 0.78805987 0.85916172 0.82448629 0.7646822 0.95232928 0.10582597 0.90255193 0.45455043 0.24972215 0.79998368 0.0410846 0.96568051 0.08976731 0.82624269 0.59797012 0.97275639 0.14230701 0.43821088 0.39163153 0.06535166

0.4229486 1.39141452 1.18621317 0.59248166 0.31207372 -0.38741657 0.20781282 -0.44411538 0.85107972 -0.49975859 1.30164791 1.2525493 0.91060724 0.48742536 -0.44006944 1.41545861 0.88766555 1.06892461 0.9844615 0.93958647 0.40043365 1.43625942 -0.19793339 0.09849696 -0.02582423 1.04822631 -0.01718971 1.07611974 1.21832343 1.14897258 1.0293644 1.40465856 -0.28834807 1.30510387 0.40910086 -0.0005557 1.09996737 -0.4178308 1.43136102 -0.32046538 1.15248538 0.69594024 1.44551278 -0.21538599 0.37642176 0.28326306 -0.36929668

0.00953978 0.06831311 -6.6788E-05 0.00572501 0.0083086 0.06435972 0.00522536 0.09218218 -0.00904063 0.12657022 0.02920627 0.01423234 -0.01191921 0.00892271 0.08996705 0.08174994 -0.01091668 -0.01232484 -0.01382043 -0.01293741 0.00951282 0.09449875 0.0122076 0.00159346 0.00014718 -0.01314999 6.398E-05 -0.01195774 0.0060737 -0.00554795 -0.01362384 0.07554624 0.03037138 0.03041799 0.00953766 6.4416E-08 -0.0104219 0.07843785 0.09139968 0.03957354 -0.00510069 0.00037686 0.10051966 0.01492129 0.00935204 0.0075929 0.05684571

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274

0.69257777 0.41462372 0.8550776 0.49541494 0.38514591 0.4125882 0.87707827 0.10022824 0.24162212 0.09416979 0.33683141 0.96778356 0.21420566 0.4295682 0.42477562 0.54257791 0.92861539 0.29946115 0.99195951 0.50933828 0.04314785 0.73311514 0.43837659 0.87322847 0.6649236 0.81021893 0.02089335 0.68942535 0.18464684 0.76522091 0.21288658 0.43807609 0.96380674 0.05237378 0.92262027 0.53622591 0.96296539 0.56223099 0.10183018 0.92264371 0.8572927 0.59432109 0.65882208 0.90262336 0.79305261 0.37690628 0.80309783

0.88515553 0.32924744 1.2101552 0.49082988 0.27029181 0.3251764 1.25415654 -0.29954353 -0.01675577 -0.31166043 0.17366283 1.43556712 -0.07158869 0.35913641 0.34955123 0.58515581 1.35723077 0.09892231 1.48391901 0.51867656 -0.41370429 0.96623028 0.37675319 1.24645694 0.82984719 1.12043786 -0.4582133 0.8788507 -0.13070632 1.03044183 -0.07422684 0.37615217 1.42761348 -0.39525245 1.34524054 0.57245182 1.42593078 0.62446199 -0.29633963 1.34528743 1.21458541 0.68864218 0.81764417 1.30524672 1.08610522 0.25381255 1.10619566

-0.01079797 0.00866758 0.00437887 0.00886107 0.00722978 0.00858741 0.01465935 0.03339758 6.0732E-05 0.03688979 0.00403722 0.09405707 0.00124751 0.00915569 0.00901904 0.00603034 0.05146325 0.00160549 0.12793206 0.00824807 0.07641586 -0.01357627 0.00935516 0.01265047 -0.00783498 -0.00868356 0.100193 -0.01049265 0.00468664 -0.0136035 0.00134855 0.00934948 0.08906937 0.06780713 0.04614462 0.00653244 0.08803442 0.0042648 0.03251218 0.04616484 0.0052865 0.00080534 -0.0071139 0.03046855 -0.01137577 0.0067373 -0.00993574

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321

0.38938625 0.4149082 0.57003568 0.80373483 0.02465882 0.06518771 0.23437817 0.67787487 0.80392252 0.09451996 0.64676191 0.39840843 0.1130048 0.75943243 0.86732699 0.55729055 0.6422567 0.13099074 0.22236547 0.77080537 0.29439455 0.60767413 0.3181956 0.76474937 0.14105868 0.19977427 0.54423187 0.18122592 0.86734167 0.02524567 0.11835203 0.14046802 0.44019101 0.75134252 0.28623442 0.8048371 0.80039094 0.37423842 0.274675 0.006866 0.80178078 0.28185351 0.50017042 0.76152524 0.96587049 0.05108608 0.92513391

0.27877249 0.32981641 0.64007135 1.10746966 -0.45068236 -0.36962459 -0.03124366 0.85574974 1.10784504 -0.31096009 0.79352382 0.29681685 -0.2739904 1.01886485 1.23465397 0.61458109 0.7845134 -0.23801852 -0.05526906 1.04161074 0.08878909 0.71534826 0.13639121 1.02949874 -0.21788264 -0.10045146 0.58846374 -0.13754815 1.23468335 -0.44950867 -0.26329594 -0.21906397 0.38038203 1.00268503 0.07246883 1.1096742 1.10078189 0.24847683 0.04935 -0.486268 1.10356155 0.06370702 0.50034083 1.02305049 1.43174098 -0.39782785 1.35026781

0.00746982 0.00867853 0.00348248 -0.00983177 0.09585672 0.05697614 0.00021801 -0.00929577 -0.00980084 0.03668166 -0.00564586 0.00794619 0.02676162 -0.01378151 0.00974819 0.00473722 -0.00508741 0.0189727 0.00071845 -0.01334511 0.00132739 -0.00078766 0.00276391 -0.01362135 0.01533803 0.00260629 0.00589387 0.00525993 0.00975516 0.09519274 0.02426357 0.01553776 0.00938768 -0.01388678 0.00092128 -0.00964818 -0.01036039 0.0065712 0.00045211 0.11753642 -0.01014581 0.00072756 0.00867344 -0.01372738 0.0916379 0.06896694 0.04833849

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368

0.87299585 0.23250519 0.48568814 0.88266108 0.61271944 0.7385341 0.93498415 0.50384747 0.35872391 0.09882049 0.69282573 0.08431978 0.66721129 0.5873128 0.75710438 0.19400554 0.34466834 0.05618652 0.39065912 0.54865299 0.43012753 0.12232454 0.09682509 0.53856724 0.54838992 0.99013055 0.74310312 0.61236054 0.63466353 0.15363008 0.20684938 0.73886248 0.0668138 0.33373416 0.05849485 0.92335371 0.37965037 0.84716043 0.38877922 0.13335524 0.43162503 0.80147404 0.24892196 0.54984592 0.08128049 0.32892771 0.4553206

1.24599171 -0.03498961 0.47137628 1.26532216 0.72543889 0.9770682 1.36996831 0.50769494 0.21744781 -0.30235901 0.88565146 -0.33136044 0.83442257 0.6746256 1.01420876 -0.11198892 0.18933667 -0.38762695 0.28131824 0.59730599 0.36025506 -0.25535092 -0.30634982 0.57713449 0.59677985 1.4802611 0.98620624 0.72472108 0.76932706 -0.19273984 -0.08630124 0.97772497 -0.36637241 0.16746832 -0.3830103 1.34670742 0.25930073 1.19432085 0.27755845 -0.23328952 0.36325005 1.10294808 -0.00215608 0.59969184 -0.33743901 0.15785542 0.41064119

0.01253204 0.00027566 0.00917398 0.01773974 -0.00140493 -0.01374181 0.05744389 0.00851286 0.00555442 0.03418863 -0.01082155 0.04306994 -0.0081005 0.00161115 -0.01382848 0.00331538 0.00458452 0.06445069 0.00753995 0.0055178 0.00917036 0.02250954 0.03533095 0.00635147 0.00554063 0.12514748 -0.01383477 -0.0013608 -0.00413948 0.01146543 0.00186904 -0.01374994 0.05569147 0.00382157 0.06247432 0.04677942 0.00690489 0.00135374 0.00743606 0.01807442 0.00920834 -0.01019379 9.7321E-07 0.00541355 0.04510718 0.00348907 0.00954019

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415

0.17958152 0.3053779 0.71527677 0.66679314 0.66910109 0.30816211 0.25732303 0.36385477 0.41978613 0.73534874 0.99845581 0.68295316 0.1960007 0.29109687 0.51317391 0.56230315 0.36144246 0.35825464 0.57548794 0.26269466 0.48521581 0.74491826 0.8678053 0.11372649 0.11610054 0.62000532 0.35587763 0.29496081 0.32000675 0.7580739 0.95427149 0.41638482 0.93864411 0.1830818 0.99647358 0.08927575 0.98943264 0.17428511 0.00621654 0.3281399 0.05084013 0.74077253 0.4912459 0.25971836 0.29049605 0.53562017 0.18032974

-0.14083697 0.11075579 0.93055354 0.83358628 0.83820218 0.11632421 0.01464605 0.22770953 0.33957226 0.97069747 1.49691161 0.86590632 -0.1079986 0.08219374 0.52634782 0.6246063 0.22288491 0.21650928 0.65097589 0.02538932 0.47043162 0.98983652 1.2356106 -0.27254702 -0.26779892 0.74001063 0.21175525 0.08992162 0.1400135 1.01614781 1.40854299 0.33276964 1.37728823 -0.13383639 1.49294716 -0.3214485 1.47886528 -0.15142978 -0.48756692 0.1562798 -0.39831975 0.98154505 0.48249179 0.01943672 0.08099209 0.57124035 -0.13934053

0.00554982 0.00195164 -0.01265319 -0.00805219 -0.00831763 0.00212151 4.3217E-05 0.00589899 0.00885657 -0.01365155 0.13812956 -0.00983612 0.00305879 0.00115665 0.0080455 0.00425776 0.00573785 0.00552258 0.00291149 0.00012667 0.00918675 -0.01385931 0.00997558 0.02641512 0.02529598 -0.00230667 0.00536056 0.00135756 0.00288405 -0.0138106 0.0777455 0.00873439 0.06103907 0.00494397 0.13496675 0.03988099 0.12409479 0.0065485 0.11838617 0.00343491 0.06918998 -0.01379284 0.00900687 7.5274E-05 0.00112648 0.00657847 0.00541675

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462

0.02785195 0.47871387 0.84711874 0.48206279 0.71987941 0.31426487 0.12860717 0.88527588 0.55946625 0.18896463 0.6246322 0.85936414 0.24999957 0.17240363 0.70106345 0.9834621 0.39030921 0.94109307 0.28886875 0.38103291 0.14479643 0.74761041 0.55956301 0.84259002 0.94664152 0.7464748 0.41151154 0.62607456 0.15331369 0.67134446 0.70503983 0.73130014 0.90108786 0.85745909 0.83868224 0.88204626 0.75863418 0.16825276 0.03308567 0.92094677 0.85724141 0.9911871 0.48141158 0.83966521 0.88893299 0.73263703 0.22914391

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-0.01300379 0.0631922 0.00948236 0.00902144 0.06804387 -0.00024259 0.0903246 0.00638138 0.00908006 0.07632646 0.00011884 0.04219714 0.0038333 0.04134687 0.0081754 0.11556583 0.00281148 -0.01164603 0.00415834 0.00832615 0.10261968 0.11318153 0.00077602 -0.0083437 -0.00865991 -0.00232627 0.11258513 0.01871526 0.00055312 0.00010009 0.04783894 0.13459175 -0.01215409 0.00994777 0.10226827 -0.01283968 0.00944283 0.00086879 0.00701532 0.00953156 -0.00151806 0.01017135 0.12237723 0.01206357 0.08264471 0.00872113 -0.00740528

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

839 840 841 842 843 844 845 846 847 848 849 850 851 852 853 854 855 856 857 858 859 860 861 862 863 864 865 866 867 868 869 870 871 872 873 874 875 876 877 878 879 880 881 882 883 884 885

0.26452575 0.79359388 0.8294465 0.40594146 0.97323836 0.2292917 0.0567731 0.33380251 0.95147871 0.19373996 0.01237033 0.9088504 0.03048247 0.0769447 0.00493947 0.7742353 0.69372374 0.30796173 0.53118967 0.78691232 0.57264042 0.55411936 0.2558733 0.53181261 0.53376569 0.8576166 0.49903121 0.38776611 0.09212348 0.69268944 0.46755594 0.28516957 0.65252001 0.60436788 0.75449724 0.34348364 0.22009861 0.91395329 0.79480289 0.82226587 0.40602435 0.33551307 0.76110072 0.46655744 0.83975093 0.64856992 0.04702133

0.02905149 1.08718777 1.158893 0.31188293 1.44647672 -0.04141659 -0.38645379 0.16760502 1.40295741 -0.11252008 -0.47525934 1.31770081 -0.43903507 -0.34611061 -0.49012106 1.04847061 0.88744747 0.11592347 0.56237934 1.07382464 0.64528084 0.60823873 0.01174661 0.56362522 0.56753137 1.2152332 0.49806242 0.27553222 -0.31575304 0.88537888 0.43511188 0.07033914 0.80504002 0.70873575 1.00899449 0.18696727 -0.05980278 1.32790658 1.08960579 1.14453173 0.3120487 0.17102614 1.02220144 0.43311487 1.17950186 0.79713984 -0.40595735

0.00016443 -0.01130748 -0.00424862 0.00830432 0.10115955 0.00039165 0.06394452 0.00382632 0.07459432 0.00335046 0.1105029 0.03502116 0.08940664 0.04812337 0.12006946 -0.01314217 -0.01090643 0.00210915 0.00690512 -0.01207951 0.0032121 0.00503067 2.7986E-05 0.00686026 0.00671735 0.00542151 0.00872045 0.00737926 0.03812168 -0.0108086 0.00950293 0.00087253 -0.00635263 -0.0003872 -0.01386491 0.00450182 0.00084927 0.03897027 -0.01115121 -0.00609359 0.00830804 0.00394533 -0.01373929 0.00951148 -0.00117906 -0.00586874 0.07271626

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

886 887 888 889 890 891 892 893 894 895 896 897 898 899 900 901 902 903 904 905 906 907 908 909 910 911 912 913 914 915 916 917 918 919 920 921 922 923 924 925 926 927 928 929 930 931 932

0.47797538 0.63610516 0.8048694 0.8566207 0.32653308 0.42574832 0.08729499 0.56579948 0.60156384 0.48124683 0.51233638 0.52180037 0.93224252 0.18294078 0.56049238 0.6802558 0.20925819 0.50542599 0.32127201 0.97673568 0.99859784 0.15399815 0.08629705 0.40699216 0.99451381 0.16472296 0.82518282 0.87119951 0.12767115 0.63955666 0.00279429 0.73185127 0.48434462 0.79267167 0.95502852 0.77064732 0.86049416 0.70384482 0.61192343 0.33001614 0.75095796 0.9506725 0.62039002 0.10139326 0.92640239 0.05626997 0.88374671

0.45595076 0.77221032 1.10973881 1.21324139 0.15306616 0.35149663 -0.32541001 0.63159896 0.70312769 0.46249366 0.52467276 0.54360073 1.36448504 -0.13411844 0.62098476 0.86051159 -0.08148363 0.51085198 0.14254403 1.45347137 1.49719567 -0.1920037 -0.3274059 0.31398432 1.48902762 -0.17055409 1.15036564 1.24239902 -0.2446577 0.77911331 -0.49441142 0.96370255 0.46868924 1.08534334 1.41005704 1.04129464 1.22098832 0.90768963 0.72384687 0.16003228 1.00191592 1.401345 0.74078005 -0.29721349 1.35280477 -0.38746007 1.26749341

0.00935427 -0.00431987 -0.00964273 0.00500826 0.00332483 0.00904833 0.04113596 0.00391241 -5.0452E-05 0.00928513 0.00809096 0.00753778 0.05482692 0.00496757 0.00443313 -0.00955169 0.00164975 0.00843979 0.00296859 0.1058753 0.13835793 0.01136259 0.04177807 0.00835118 0.13188416 0.00861447 -0.00537225 0.01162874 0.02028151 -0.00475106 0.12293413 -0.01352942 0.00920971 -0.01142321 0.07861241 -0.01335363 0.00664699 -0.01180053 -0.00130709 0.00356406 -0.01388781 0.07369831 -0.00235454 0.03275212 0.04946534 0.06437852 0.01836221

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

933 934 935 936 937 938 939 940 941 942 943 944 945 946 947 948 949 950 951 952 953 954 955 956 957 958 959 960 961 962 963 964 965 966 967 968 969 970 971 972 973 974 975 976 977 978 979

0.21159109 0.62790336 0.54342334 0.86100989 0.41996426 0.87858482 0.88431193 0.31518766 0.11814914 0.64201263 0.45695457 0.72348256 0.90989547 0.85388417 0.44092352 0.66188106 0.59123515 0.27079456 0.86568741 0.31750994 0.88919556 0.24987647 0.90164793 0.7092813 0.17674335 0.22161992 0.71009276 0.70207349 0.13875853 0.45739926 0.03989512 0.89872419 0.0767517 0.59275789 0.70569392 0.88923891 0.33838628 0.08060696 0.46248189 0.76523988 0.32193737 0.54508963 0.00068914 0.04029482 0.98474858 0.90709683 0.63530746

-0.07681781 0.75580672 0.58684667 1.22201978 0.33992852 1.25716964 1.26862385 0.13037532 -0.26370172 0.78402527 0.41390914 0.94696512 1.31979094 1.20776834 0.38184704 0.82376211 0.6824703 0.04158912 1.23137483 0.13501988 1.27839112 -0.00024706 1.30329586 0.9185626 -0.14651329 -0.05676015 0.92018552 0.90414698 -0.22248295 0.41479853 -0.42020975 1.29744837 -0.34649659 0.68551578 0.91138785 1.27847782 0.17677255 -0.33878608 0.42496379 1.03047977 0.14387474 0.59017926 -0.49862172 -0.41941037 1.46949716 1.31419366 0.77061492

0.00145213 -0.0032929 0.00596087 0.0068716 0.00886272 0.01547091 0.01868936 0.00256694 0.02435546 -0.00505705 0.00954367 -0.01314527 0.03581371 0.00390112 0.00939996 -0.00747761 0.00116307 0.00032712 0.00897908 0.00271872 0.02160458 1.2724E-08 0.02978136 -0.0122286 0.00607249 0.00076014 -0.01228907 -0.01165281 0.01612515 0.00954417 0.07961995 0.02776293 0.04826068 0.0009871 -0.0119505 0.02163118 0.00414573 0.04556718 0.0095362 -0.01360277 0.00301324 0.00582219 0.125791 0.07922139 0.11716936 0.03370985 -0.00422007

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0

980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015 1016 1017 1018

0.87456539 0.63583359 0.14043484 0.42020074 0.13833329 0.22329269 0.49506753 0.30898871 0.49427467 0.52399921 0.15582154 0.0875853 0.74332349 0.80023431 0.38364863 0.60996271 0.50235521 0.64918596 0.67661532 0.24009398 0.01795984 0.25541078 0.00092042 0.28471926 0.58698629 0.61538464 0.81682846 0.68596997 0.04865918 0.89195484 0.20578553 0.28930783 0.19525794 0.01951146 0.92915162 0.55244444 0.52694679 0.90761624 0.68617854

1.24913077 0.77166718 -0.21913031 0.34040148 -0.22333343 -0.05341462 0.49013506 0.11797741 0.48854934 0.54799841 -0.18835693 -0.3248294 0.98664698 1.10046862 0.26729725 0.71992543 0.50471043 0.79837192 0.85323063 -0.01981204 -0.46408033 0.01082156 -0.49815916 0.06943852 0.67397258 0.73076928 1.13365691 0.87193994 -0.40268165 1.28390968 -0.08842894 0.07861566 -0.10948413 -0.46097707 1.35830324 0.60488889 0.55389358 1.31523248 0.87235708

0.0133376 -0.0042859 0.01554903 0.00887084 0.01627343 0.0006684 0.00887389 0.00217272 0.00890268 0.00739701 0.01086166 0.04095041 -0.01383813 -0.01038412 0.00714275 -0.0010668 0.00857965 -0.0059445 -0.00915864 8.5485E-05 0.10366323 2.3802E-05 0.1254749 0.00085223 0.0016481 -0.00173356 -0.00733856 -0.01014689 0.07118928 0.023323 0.00197092 0.00106769 0.00315289 0.10181759 0.05195353 0.00518247 0.00720117 0.03409585 -0.01016808

0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.72414568

x=a+(b-a)*u

Valor mnimo f(x)= -0.00132544 x= 0.72414568

0.16 0.14 0.12 0.1 0.08 0.06 0.04 0.02 0 -0.5 -0.02 -0.04 0 0.5 1 1.5 2 Series1