37
n n n x y 1 0.5 1.5 t pa t^2 y y y min bar ln(pa/pa0) 0 0.01 0 0 0 0 2 0.0088 4 -0.2556667 -0.0123834 1.32007164 2 0.0086 4 -0.3016458 -0.0145276 1.56655464 5 0.0068 25 -1.9283124 -0.0876894 10.6339063 5 0.0067 25 -2.0023878 -0.0907324 11.0847222 5 0.0067 25 -2.0023878 -0.0907324 11.0847222 10 0.0043 100 -8.4397007 -0.3442561 52.4985703 10 0.0045 100 -7.985077 -0.3291796 49.0711985 15 0.0029 225 -18.568115 -0.6922253 128.543007 15 0.0029 225 -18.568115 -0.6922253 128.543007 20 0.0016 400 -36.651629 -1.2 300 20 0.0018 400 -34.295969 -1.1514719 271.404521 25 0.001 625 -57.564627 -1.7094306 540.569415 sum 134 0.0666 2158 -188.56363 -6.4148539 1506.3197 m -0.0873789 -0.0029726 0.69801654 k 0.08737889 0.00594518 1.39603308 n n n n n x y 1 0.5 1.5 2 2.5 t paexp pac pac pac pac pac min bar bar bar bar bar bar 0 0.01 0.01 0.01 0.01 0.01 0.01 2 0.0088 0.0083966 0.00884631 0.00770003 0.00671473 0.00555983 2 0.0086 0.0083966 0.00884631 0.00770003 0.00671473 0.00555983 5 0.0068 0.0064604 0.00724832 0.00549504 0.00449811 0.00365236 5 0.0067 0.0064604 0.00724832 0.00549504 0.00449811 0.00365236 5 0.0067 0.0064604 0.00724832 0.00549504 0.00449811 0.00365236 10 0.0043 0.00417367 0.00493845 0.0034683 0.00290165 0.0024874 10 0.0045 0.00417367 0.00493845 0.0034683 0.00290165 0.0024874 15 0.0029 0.00269636 0.00307039 0.00238646 0.00214157 0.00195245 15 0.0029 0.00269636 0.00307039 0.00238646 0.00214157 0.00195245 20 0.0016 0.00174195 0.00164415 0.00174186 0.00169704 0.00163531 20 0.0018 0.00174195 0.00164415 0.00174186 0.00169704 0.00163531 25 0.001 0.00112537 0.00065973 0.0013271 0.00140533 0.00142183 n n n n n x y 0.5 1 1.5 2 2.5 t paexp ev ev ev ev ev min bar % % % % % 0 0.01 1.7347E-14 0 0 0 3.4694E-14 2 0.0088 0.5262312 4.58404695 12.4996228 23.6962072 36.8201506 2 0.0086 2.86405053 2.36507129 10.4647303 21.9217004 35.3508517 5 0.0068 6.59287395 4.99417161 19.1906036 33.8513193 46.2887887

3 3-ejemplo

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n n nx y 1 0.5 1.5t pa t^2 y y y

min bar ln(pa/pa0)0 0.01 0 0 0 02 0.0088 4 -0.2556667 -0.0123834 1.320071642 0.0086 4 -0.3016458 -0.0145276 1.566554645 0.0068 25 -1.9283124 -0.0876894 10.63390635 0.0067 25 -2.0023878 -0.0907324 11.08472225 0.0067 25 -2.0023878 -0.0907324 11.084722210 0.0043 100 -8.4397007 -0.3442561 52.498570310 0.0045 100 -7.985077 -0.3291796 49.071198515 0.0029 225 -18.568115 -0.6922253 128.54300715 0.0029 225 -18.568115 -0.6922253 128.54300720 0.0016 400 -36.651629 -1.2 30020 0.0018 400 -34.295969 -1.1514719 271.40452125 0.001 625 -57.564627 -1.7094306 540.569415

sum 134 0.0666 2158 -188.56363 -6.4148539 1506.3197m -0.0873789 -0.0029726 0.69801654k 0.08737889 0.00594518 1.39603308

n n n n nx y 1 0.5 1.5 2 2.5t paexp pac pac pac pac pac

min bar bar bar bar bar bar0 0.01 0.01 0.01 0.01 0.01 0.012 0.0088 0.0083966 0.00884631 0.00770003 0.00671473 0.005559832 0.0086 0.0083966 0.00884631 0.00770003 0.00671473 0.005559835 0.0068 0.0064604 0.00724832 0.00549504 0.00449811 0.003652365 0.0067 0.0064604 0.00724832 0.00549504 0.00449811 0.003652365 0.0067 0.0064604 0.00724832 0.00549504 0.00449811 0.0036523610 0.0043 0.00417367 0.00493845 0.0034683 0.00290165 0.002487410 0.0045 0.00417367 0.00493845 0.0034683 0.00290165 0.002487415 0.0029 0.00269636 0.00307039 0.00238646 0.00214157 0.0019524515 0.0029 0.00269636 0.00307039 0.00238646 0.00214157 0.0019524520 0.0016 0.00174195 0.00164415 0.00174186 0.00169704 0.0016353120 0.0018 0.00174195 0.00164415 0.00174186 0.00169704 0.0016353125 0.001 0.00112537 0.00065973 0.0013271 0.00140533 0.00142183

n n n n nx y 0.5 1 1.5 2 2.5t paexp ev ev ev ev ev

min bar % % % % %0 0.01 1.7347E-14 0 0 0 3.4694E-142 0.0088 0.5262312 4.58404695 12.4996228 23.6962072 36.82015062 0.0086 2.86405053 2.36507129 10.4647303 21.9217004 35.35085175 0.0068 6.59287395 4.99417161 19.1906036 33.8513193 46.2887887

5 0.0067 8.18381237 3.57617417 17.9844932 32.8640256 45.48712895 0.0067 8.18381237 3.57617417 17.9844932 32.8640256 45.487128910 0.0043 14.847583 2.93785873 19.3419513 32.5197006 42.153451410 0.0045 9.743246 7.25173168 22.9267535 35.518825 44.724409115 0.0029 5.87558359 7.02215257 17.7083465 26.1526947 32.674282915 0.0029 5.87558359 7.02215257 17.7083465 26.1526947 32.674282920 0.0016 2.75956194 8.87211616 8.86653415 6.06481629 2.2067062420 0.0018 8.65816716 3.22478563 3.22974743 5.72016329 9.1495944525 0.001 34.0270729 12.5371232 32.7095625 40.5327506 42.1829671

total 108.137579 67.9635587 200.615185 317.858923 415.199743

n n n2 2.5 3

y y y

0 0 027.2727273 422.735413 5826.4462832.5581395 507.738912 7041.64413235.294118 3916.75092 58131.4879246.268657 4117.12271 61383.3816246.268657 4117.12271 61383.38161325.5814 25464.7838 440832.8831222.22222 23126.933 393827.163672.41379 81049.3129 1633590.963672.41379 81049.3129 1633590.96

10500 292500 76125009111.11111 241891.4 5972839.51

22500 765569.415 2475000052791.4046 1523732.63 42630947.824.4631161 706.085555 19754.841424.4631161 470.723704 9877.42072

n3

pac 0bar 0.0120.01

0.004494230.004494230.003032050.003032050.003032050.002195030.002195030.00180680.00180680.001571160.001571160.00140877

n3ev%0

48.929247747.741555855.4109598

0 0.002 0.004 0.006 0.008 0.01 0.012 0.0140

0.002

0.004

0.006

0.008

0.01

0.012

0.014

Column CColumn DColumn EColumn FColumn GColumn Hy

0 5 10 15 20 25 300

10

20

30

40

50

60

0.511.522.53

54.745451754.745451748.952810751.221574737.696496837.69649681.8024628312.713300340.8770675492.532876

0 5 10 15 20 25 300

10

20

30

40

50

60

0.511.522.53

00.012

0 0.002 0.004 0.006 0.008 0.01 0.012 0.0140

0.002

0.004

0.006

0.008

0.01

0.012

0.014

Column CColumn DColumn EColumn FColumn GColumn Hy

0 5 10 15 20 25 300

0.002

0.004

0.006

0.008

0.01

0.012

Column BColumn CColumn DColumn EColumn FColumn GColumn H

0 5 10 15 20 25 300

10

20

30

40

50

60

0.511.522.53

0 0.5 1 1.5 2 2.5 3 3.50

100

200

300

400

500

600

Row 57

0 5 10 15 20 25 300

10

20

30

40

50

60

0.511.522.53

0 0.5 1 1.5 2 2.5 3 3.50

100

200

300

400

500

600

Row 57

0 5 10 15 20 25 300

0.002

0.004

0.006

0.008

0.01

0.012

Column BColumn CColumn DColumn EColumn FColumn GColumn H

0 0.5 1 1.5 2 2.5 3 3.50

100

200

300

400

500

600

Row 57

0 0.5 1 1.5 2 2.5 3 3.50

100

200

300

400

500

600

Row 57

t pa pacalc fobjmin bar0 0.01 0.01 1.20371E-352 0.0088 0.00858346 4.68917E-082 0.0086 0.00858346 2.73737E-105 0.0068 0.00677035 8.79355E-105 0.0067 0.00677035 4.94857E-095 0.0067 0.00677035 4.94857E-0910 0.0043 0.00445091 2.27724E-0810 0.0045 0.00445091 2.4103E-0915 0.0029 0.00282766 5.23258E-0915 0.0029 0.00282766 5.23258E-0920 0.0016 0.00172547 1.57435E-0820 0.0018 0.00172547 5.55426E-0925 0.001 0.0010034 1.15842E-11

0.114899147

n 0.82029725k 0.03293023

t paexp pacalc fobjmin bar0 0.01 0.01 02 0.0088 0.008583455 4.68917E-082 0.0086 0.008583455 2.73737E-105 0.0068 0.006770346 8.79355E-105 0.0067 0.006770346 4.94857E-095 0.0067 0.006770346 4.94857E-0910 0.0043 0.004450905 2.27724E-0810 0.0045 0.004450905 2.4103E-0915 0.0029 0.002827663 5.23258E-0915 0.0029 0.002827663 5.23258E-0920 0.0016 0.001725473 1.57435E-0820 0.0018 0.001725473 5.55426E-0925 0.001 0.001003404 1.15842E-11

0.114899147

n 0.82029724881k 0.03293023035

n 101dt 0.25

n t pa k1 pa2 ka21 0.00 0.0100000 -0.0007534 0.0099529 -0.00075042 0.25 0.0098131 -0.0007418 0.0097667 -0.00073893 0.50 0.0096291 -0.0007304 0.0095834 -0.00072754 0.75 0.0094479 -0.0007191 0.0094030 -0.00071635 1.00 0.0092696 -0.0007079 0.0092253 -0.00070516 1.25 0.0090940 -0.0006969 0.0090504 -0.00069427 1.50 0.0089211 -0.0006860 0.0088782 -0.00068338 1.75 0.0087509 -0.0006753 0.0087087 -0.00067269 2.00 0.0085835 -0.0006646 0.0085419 -0.0006620

10 2.25 0.0084186 -0.0006541 0.0083777 -0.000651511 2.50 0.0082564 -0.0006438 0.0082161 -0.000641212 2.75 0.0080967 -0.0006336 0.0080571 -0.000631013 3.00 0.0079396 -0.0006235 0.0079006 -0.000620914 3.25 0.0077850 -0.0006135 0.0077466 -0.000611015 3.50 0.0076328 -0.0006036 0.0075951 -0.000601216 3.75 0.0074831 -0.0005939 0.0074460 -0.000591517 4.00 0.0073359 -0.0005843 0.0072994 -0.000581918 4.25 0.0071910 -0.0005748 0.0071551 -0.000572519 4.50 0.0070485 -0.0005654 0.0070131 -0.000563120 4.75 0.0069083 -0.0005562 0.0068735 -0.0005539

0 5 10 15 20 25 300

0.002

0.004

0.006

0.008

0.01

0.012

pacalcpaexp

21 5.00 0.0067703 -0.0005471 0.0067362 -0.000544822 5.25 0.0066347 -0.0005381 0.0066011 -0.000535823 5.50 0.0065013 -0.0005292 0.0064682 -0.000527024 5.75 0.0063701 -0.0005204 0.0063376 -0.000518225 6.00 0.0062411 -0.0005117 0.0062091 -0.000509626 6.25 0.0061142 -0.0005032 0.0060828 -0.000501127 6.50 0.0059895 -0.0004948 0.0059586 -0.000492728 6.75 0.0058668 -0.0004864 0.0058364 -0.000484429 7.00 0.0057463 -0.0004782 0.0057164 -0.000476230 7.25 0.0056277 -0.0004701 0.0055983 -0.000468131 7.50 0.0055112 -0.0004621 0.0054823 -0.000460132 7.75 0.0053967 -0.0004542 0.0053683 -0.000452333 8.00 0.0052841 -0.0004464 0.0052562 -0.000444534 8.25 0.0051734 -0.0004387 0.0051460 -0.000436835 8.50 0.0050647 -0.0004312 0.0050377 -0.000429336 8.75 0.0049578 -0.0004237 0.0049314 -0.000421837 9.00 0.0048528 -0.0004163 0.0048268 -0.000414538 9.25 0.0047497 -0.0004090 0.0047241 -0.000407239 9.50 0.0046483 -0.0004019 0.0046232 -0.000400140 9.75 0.0045487 -0.0003948 0.0045241 -0.000393041 10.00 0.0044509 -0.0003878 0.0044267 -0.000386142 10.25 0.0043548 -0.0003809 0.0043310 -0.000379243 10.50 0.0042604 -0.0003741 0.0042370 -0.000372544 10.75 0.0041677 -0.0003675 0.0041448 -0.000365845 11.00 0.0040767 -0.0003609 0.0040541 -0.000359246 11.25 0.0039873 -0.0003544 0.0039651 -0.000352747 11.50 0.0038995 -0.0003479 0.0038778 -0.000346348 11.75 0.0038133 -0.0003416 0.0037920 -0.000340149 12.00 0.0037287 -0.0003354 0.0037077 -0.000333850 12.25 0.0036456 -0.0003292 0.0036250 -0.000327751 12.50 0.0035641 -0.0003232 0.0035439 -0.000321752 12.75 0.0034840 -0.0003172 0.0034642 -0.000315753 13.00 0.0034054 -0.0003113 0.0033860 -0.000309954 13.25 0.0033283 -0.0003056 0.0033092 -0.000304155 13.50 0.0032527 -0.0002998 0.0032339 -0.000298456 13.75 0.0031784 -0.0002942 0.0031600 -0.000292857 14.00 0.0031055 -0.0002887 0.0030875 -0.000287358 14.25 0.0030341 -0.0002832 0.0030164 -0.000281959 14.50 0.0029639 -0.0002778 0.0029466 -0.000276560 14.75 0.0028951 -0.0002725 0.0028781 -0.000271261 15.00 0.0028277 -0.0002673 0.0028110 -0.000266062 15.25 0.0027615 -0.0002622 0.0027451 -0.000260963 15.50 0.0026966 -0.0002571 0.0026805 -0.000255864 15.75 0.0026329 -0.0002521 0.0026172 -0.000250965 16.00 0.0025705 -0.0002472 0.0025551 -0.0002460

66 16.25 0.0025093 -0.0002424 0.0024942 -0.000241267 16.50 0.0024493 -0.0002376 0.0024345 -0.000236468 16.75 0.0023905 -0.0002329 0.0023760 -0.000231769 17.00 0.0023329 -0.0002283 0.0023186 -0.000227170 17.25 0.0022764 -0.0002237 0.0022624 -0.000222671 17.50 0.0022210 -0.0002193 0.0022073 -0.000218272 17.75 0.0021667 -0.0002149 0.0021533 -0.000213873 18.00 0.0021136 -0.0002105 0.0021004 -0.000209574 18.25 0.0020615 -0.0002063 0.0020486 -0.000205275 18.50 0.0020104 -0.0002021 0.0019978 -0.000201076 18.75 0.0019604 -0.0001979 0.0019481 -0.000196977 19.00 0.0019114 -0.0001939 0.0018993 -0.000192978 19.25 0.0018635 -0.0001899 0.0018516 -0.000188979 19.50 0.0018165 -0.0001859 0.0018049 -0.000185080 19.75 0.0017705 -0.0001821 0.0017591 -0.000181181 20.00 0.0017255 -0.0001783 0.0017143 -0.000177382 20.25 0.0016814 -0.0001745 0.0016705 -0.000173683 20.50 0.0016382 -0.0001708 0.0016275 -0.000169984 20.75 0.0015960 -0.0001672 0.0015855 -0.000166385 21.00 0.0015546 -0.0001636 0.0015444 -0.000162886 21.25 0.0015141 -0.0001601 0.0015041 -0.000159387 21.50 0.0014745 -0.0001567 0.0014647 -0.000155888 21.75 0.0014358 -0.0001533 0.0014262 -0.000152589 22.00 0.0013979 -0.0001500 0.0013885 -0.000149290 22.25 0.0013608 -0.0001467 0.0013516 -0.000145991 22.50 0.0013245 -0.0001435 0.0013155 -0.000142792 22.75 0.0012890 -0.0001403 0.0012803 -0.000139593 23.00 0.0012543 -0.0001372 0.0012458 -0.000136594 23.25 0.0012204 -0.0001342 0.0012120 -0.000133495 23.50 0.0011873 -0.0001312 0.0011791 -0.000130496 23.75 0.0011548 -0.0001282 0.0011468 -0.000127597 24.00 0.0011231 -0.0001253 0.0011153 -0.000124698 24.25 0.0010922 -0.0001225 0.0010845 -0.000121899 24.50 0.0010619 -0.0001197 0.0010544 -0.0001190

100 24.75 0.0010323 -0.0001170 0.0010250 -0.0001163101 25.00 0.0010034 -0.0001143 0.0009963 -0.0001136

pa3 k3 pa4 k4 pa5 k50.0099530 -0.0007505 0.0099062 -0.0007476 0.0098596 -0.00074470.0097668 -0.0007389 0.0097207 -0.0007361 0.0096748 -0.00073320.0095835 -0.0007275 0.0095382 -0.0007247 0.0094929 -0.00072190.0094031 -0.0007163 0.0093584 -0.0007135 0.0093139 -0.00071070.0092254 -0.0007051 0.0091814 -0.0007024 0.0091376 -0.00069960.0090505 -0.0006942 0.0090072 -0.0006914 0.0089641 -0.00068870.0088783 -0.0006833 0.0088357 -0.0006806 0.0087932 -0.00067790.0087088 -0.0006726 0.0086669 -0.0006699 0.0086251 -0.00066730.0085420 -0.0006620 0.0085007 -0.0006594 0.0084596 -0.00065680.0083778 -0.0006515 0.0083372 -0.0006490 0.0082967 -0.00064640.0082162 -0.0006412 0.0081762 -0.0006387 0.0081364 -0.00063610.0080572 -0.0006310 0.0080178 -0.0006285 0.0079786 -0.00062600.0079007 -0.0006209 0.0078620 -0.0006185 0.0078234 -0.00061600.0077467 -0.0006110 0.0077086 -0.0006085 0.0076706 -0.00060610.0075952 -0.0006012 0.0075577 -0.0005987 0.0075203 -0.00059630.0074461 -0.0005915 0.0074092 -0.0005891 0.0073725 -0.00058670.0072994 -0.0005819 0.0072631 -0.0005795 0.0072270 -0.00057720.0071551 -0.0005725 0.0071194 -0.0005701 0.0070839 -0.00056780.0070132 -0.0005631 0.0069781 -0.0005608 0.0069431 -0.00055850.0068736 -0.0005539 0.0068390 -0.0005516 0.0068046 -0.0005494

0 5 10 15 20 25 300

0.002

0.004

0.006

0.008

0.01

0.012

pacalcpaexp

0.0067362 -0.0005448 0.0067022 -0.0005426 0.0066684 -0.00054030.0066011 -0.0005358 0.0065677 -0.0005336 0.0065344 -0.00053140.0064683 -0.0005270 0.0064354 -0.0005248 0.0064027 -0.00052260.0063376 -0.0005182 0.0063053 -0.0005161 0.0062731 -0.00051390.0062092 -0.0005096 0.0061774 -0.0005075 0.0061457 -0.00050530.0060828 -0.0005011 0.0060516 -0.0004990 0.0060205 -0.00049690.0059586 -0.0004927 0.0059279 -0.0004906 0.0058973 -0.00048850.0058365 -0.0004844 0.0058063 -0.0004823 0.0057762 -0.00048030.0057164 -0.0004762 0.0056867 -0.0004741 0.0056572 -0.00047210.0055984 -0.0004681 0.0055692 -0.0004661 0.0055401 -0.00046410.0054824 -0.0004601 0.0054537 -0.0004581 0.0054251 -0.00045620.0053683 -0.0004523 0.0053401 -0.0004503 0.0053120 -0.00044840.0052562 -0.0004445 0.0052285 -0.0004426 0.0052009 -0.00044070.0051461 -0.0004368 0.0051188 -0.0004349 0.0050917 -0.00043310.0050378 -0.0004293 0.0050110 -0.0004274 0.0049844 -0.00042560.0049314 -0.0004218 0.0049051 -0.0004200 0.0048789 -0.00041820.0048269 -0.0004145 0.0048010 -0.0004127 0.0047753 -0.00041090.0047242 -0.0004072 0.0046988 -0.0004054 0.0046735 -0.00040370.0046232 -0.0004001 0.0045983 -0.0003983 0.0045735 -0.00039660.0045241 -0.0003930 0.0044996 -0.0003913 0.0044752 -0.00038950.0044267 -0.0003861 0.0044026 -0.0003844 0.0043787 -0.00038260.0043311 -0.0003792 0.0043074 -0.0003775 0.0042839 -0.00037580.0042371 -0.0003725 0.0042139 -0.0003708 0.0041908 -0.00036910.0041448 -0.0003658 0.0041220 -0.0003641 0.0040993 -0.00036250.0040542 -0.0003592 0.0040318 -0.0003576 0.0040095 -0.00035600.0039652 -0.0003527 0.0039432 -0.0003511 0.0039213 -0.00034950.0038778 -0.0003464 0.0038562 -0.0003448 0.0038347 -0.00034320.0037920 -0.0003401 0.0037708 -0.0003385 0.0037497 -0.00033690.0037078 -0.0003338 0.0036870 -0.0003323 0.0036662 -0.00033080.0036251 -0.0003277 0.0036046 -0.0003262 0.0035843 -0.00032470.0035439 -0.0003217 0.0035238 -0.0003202 0.0035039 -0.00031870.0034642 -0.0003157 0.0034445 -0.0003143 0.0034249 -0.00031280.0033860 -0.0003099 0.0033667 -0.0003084 0.0033475 -0.00030700.0033093 -0.0003041 0.0032903 -0.0003027 0.0032714 -0.00030130.0032340 -0.0002984 0.0032154 -0.0002970 0.0031968 -0.00029560.0031601 -0.0002928 0.0031418 -0.0002914 0.0031236 -0.00029000.0030875 -0.0002873 0.0030696 -0.0002859 0.0030518 -0.00028460.0030164 -0.0002819 0.0029988 -0.0002805 0.0029813 -0.00027920.0029466 -0.0002765 0.0029294 -0.0002752 0.0029122 -0.00027380.0028781 -0.0002712 0.0028612 -0.0002699 0.0028444 -0.00026860.0028110 -0.0002660 0.0027944 -0.0002647 0.0027779 -0.00026340.0027451 -0.0002609 0.0027289 -0.0002596 0.0027127 -0.00025840.0026805 -0.0002558 0.0026646 -0.0002546 0.0026487 -0.00025330.0026172 -0.0002509 0.0026016 -0.0002496 0.0025860 -0.00024840.0025551 -0.0002460 0.0025398 -0.0002448 0.0025245 -0.0002436

0.0024942 -0.0002412 0.0024792 -0.0002400 0.0024642 -0.00023880.0024345 -0.0002364 0.0024198 -0.0002352 0.0024051 -0.00023410.0023760 -0.0002317 0.0023616 -0.0002306 0.0023472 -0.00022940.0023186 -0.0002271 0.0023045 -0.0002260 0.0022904 -0.00022490.0022624 -0.0002226 0.0022485 -0.0002215 0.0022347 -0.00022040.0022073 -0.0002182 0.0021937 -0.0002171 0.0021802 -0.00021600.0021533 -0.0002138 0.0021400 -0.0002127 0.0021267 -0.00021160.0021004 -0.0002095 0.0020874 -0.0002084 0.0020744 -0.00020730.0020486 -0.0002052 0.0020358 -0.0002042 0.0020231 -0.00020310.0019978 -0.0002010 0.0019853 -0.0002000 0.0019728 -0.00019900.0019481 -0.0001969 0.0019358 -0.0001959 0.0019236 -0.00019490.0018994 -0.0001929 0.0018873 -0.0001919 0.0018754 -0.00019090.0018516 -0.0001889 0.0018399 -0.0001879 0.0018282 -0.00018690.0018049 -0.0001850 0.0017934 -0.0001840 0.0017819 -0.00018300.0017592 -0.0001811 0.0017479 -0.0001801 0.0017366 -0.00017920.0017144 -0.0001773 0.0017033 -0.0001764 0.0016923 -0.00017540.0016705 -0.0001736 0.0016597 -0.0001727 0.0016489 -0.00017170.0016276 -0.0001699 0.0016170 -0.0001690 0.0016064 -0.00016810.0015855 -0.0001663 0.0015752 -0.0001654 0.0015649 -0.00016450.0015444 -0.0001628 0.0015343 -0.0001619 0.0015242 -0.00016100.0015042 -0.0001593 0.0014942 -0.0001584 0.0014844 -0.00015750.0014648 -0.0001558 0.0014551 -0.0001550 0.0014454 -0.00015410.0014262 -0.0001525 0.0014167 -0.0001516 0.0014073 -0.00015080.0013885 -0.0001492 0.0013792 -0.0001483 0.0013700 -0.00014750.0013516 -0.0001459 0.0013426 -0.0001451 0.0013335 -0.00014430.0013156 -0.0001427 0.0013067 -0.0001419 0.0012978 -0.00014110.0012803 -0.0001395 0.0012716 -0.0001388 0.0012629 -0.00013800.0012458 -0.0001365 0.0012373 -0.0001357 0.0012288 -0.00013490.0012121 -0.0001334 0.0012037 -0.0001327 0.0011955 -0.00013190.0011791 -0.0001304 0.0011710 -0.0001297 0.0011629 -0.00012900.0011468 -0.0001275 0.0011389 -0.0001268 0.0011310 -0.00012610.0011153 -0.0001246 0.0011076 -0.0001239 0.0010998 -0.00012320.0010845 -0.0001218 0.0010769 -0.0001211 0.0010694 -0.00012040.0010544 -0.0001190 0.0010470 -0.0001183 0.0010396 -0.00011760.0010250 -0.0001163 0.0010178 -0.0001156 0.0010106 -0.00011490.0009963 -0.0001136 0.0009892 -0.0001129 0.0009822 -0.0001123

pa6 k6 pai+10.0098131 -0.0007418 0.00981310.0096291 -0.0007304 0.00962910.0094479 -0.0007191 0.00944790.0092696 -0.0007079 0.00926960.0090940 -0.0006969 0.00909400.0089211 -0.0006860 0.00892110.0087509 -0.0006753 0.00875090.0085835 -0.0006646 0.00858350.0084186 -0.0006541 0.00841860.0082564 -0.0006438 0.00825640.0080967 -0.0006336 0.00809670.0079396 -0.0006235 0.00793960.0077850 -0.0006135 0.00778500.0076328 -0.0006036 0.00763280.0074831 -0.0005939 0.00748310.0073359 -0.0005843 0.00733590.0071910 -0.0005748 0.00719100.0070485 -0.0005654 0.00704850.0069083 -0.0005562 0.00690830.0067703 -0.0005471 0.0067703

0.0066347 -0.0005381 0.00663470.0065013 -0.0005292 0.00650130.0063701 -0.0005204 0.00637010.0062411 -0.0005117 0.00624110.0061142 -0.0005032 0.00611420.0059895 -0.0004948 0.00598950.0058668 -0.0004864 0.00586680.0057463 -0.0004782 0.00574630.0056277 -0.0004701 0.00562770.0055112 -0.0004621 0.00551120.0053967 -0.0004542 0.00539670.0052841 -0.0004464 0.00528410.0051734 -0.0004387 0.00517340.0050647 -0.0004312 0.00506470.0049578 -0.0004237 0.00495780.0048528 -0.0004163 0.00485280.0047497 -0.0004090 0.00474970.0046483 -0.0004019 0.00464830.0045487 -0.0003948 0.00454870.0044509 -0.0003878 0.00445090.0043548 -0.0003809 0.00435480.0042604 -0.0003741 0.00426040.0041677 -0.0003675 0.00416770.0040767 -0.0003609 0.00407670.0039873 -0.0003544 0.00398730.0038995 -0.0003479 0.00389950.0038133 -0.0003416 0.00381330.0037287 -0.0003354 0.00372870.0036456 -0.0003292 0.00364560.0035641 -0.0003232 0.00356410.0034840 -0.0003172 0.00348400.0034054 -0.0003113 0.00340540.0033283 -0.0003056 0.00332830.0032527 -0.0002998 0.00325270.0031784 -0.0002942 0.00317840.0031055 -0.0002887 0.00310550.0030341 -0.0002832 0.00303410.0029639 -0.0002778 0.00296390.0028951 -0.0002725 0.00289510.0028277 -0.0002673 0.00282770.0027615 -0.0002622 0.00276150.0026966 -0.0002571 0.00269660.0026329 -0.0002521 0.00263290.0025705 -0.0002472 0.00257050.0025093 -0.0002424 0.0025093

0.0024493 -0.0002376 0.00244930.0023905 -0.0002329 0.00239050.0023329 -0.0002283 0.00233290.0022764 -0.0002237 0.00227640.0022210 -0.0002193 0.00222100.0021667 -0.0002149 0.00216670.0021136 -0.0002105 0.00211360.0020615 -0.0002063 0.00206150.0020104 -0.0002021 0.00201040.0019604 -0.0001979 0.00196040.0019114 -0.0001939 0.00191140.0018635 -0.0001899 0.00186350.0018165 -0.0001859 0.00181650.0017705 -0.0001821 0.00177050.0017255 -0.0001783 0.00172550.0016814 -0.0001745 0.00168140.0016382 -0.0001708 0.00163820.0015960 -0.0001672 0.00159600.0015546 -0.0001636 0.00155460.0015141 -0.0001601 0.00151410.0014745 -0.0001567 0.00147450.0014358 -0.0001533 0.00143580.0013979 -0.0001500 0.00139790.0013608 -0.0001467 0.00136080.0013245 -0.0001435 0.00132450.0012890 -0.0001403 0.00128900.0012543 -0.0001372 0.00125430.0012204 -0.0001342 0.00122040.0011873 -0.0001312 0.00118730.0011548 -0.0001282 0.00115480.0011231 -0.0001253 0.00112310.0010922 -0.0001225 0.00109220.0010619 -0.0001197 0.00106190.0010323 -0.0001170 0.00103230.0010034 -0.0001143 0.00100340.0009752 -0.0001116 0.0009752

ni 0.81988738 dn 0.00000001 ni+1ki 0.03286083 dk 0.00000001 ki+1

primeraas derivadas

df/dnni+1 0.81988739ki 0.03286083

t pa pacalc fobjmin bar0 0.01 0.01 1.20371E-352 0.0088 0.008583709 4.67818E-082 0.0086 0.008583709 2.65398E-105 0.0068 0.006770738 8.56273E-105 0.0067 0.006770738 5.00384E-095 0.0067 0.006770738 5.00384E-0910 0.0043 0.004451139 2.28431E-0810 0.0045 0.004451139 2.38737E-0915 0.0029 0.002827556 5.24816E-0915 0.0029 0.002827556 5.24816E-0920 0.0016 0.001725049 1.56372E-0820 0.0018 0.001725049 5.61766E-0925 0.001 0.001002785 7.75445E-12

0.114900621

df/dn -0.00674915

segundas derivadas

df/dnni+1 0.81988739ki 0.03286083

t pa pacalc fobjmin bar0 0.01 0.01 1.20371E-352 0.0088 0.008583709 4.67818E-082 0.0086 0.008583709 2.65398E-105 0.0068 0.006770738 8.56273E-105 0.0067 0.006770738 5.00384E-095 0.0067 0.006770738 5.00384E-0910 0.0043 0.004451139 2.28431E-08

10 0.0045 0.004451139 2.38737E-0915 0.0029 0.002827556 5.24816E-0915 0.0029 0.002827556 5.24816E-0920 0.0016 0.001725049 1.56372E-0820 0.0018 0.001725049 5.61766E-0925 0.001 0.001002785 7.75445E-12

0.114900621

d2f/fnfkni+1 0.81988739ki+1 0.03286084

t pa pacalc fobjmin bar0 0.01 0.01 1.20371E-352 0.0088 0.008583709 4.6782E-082 0.0086 0.008583709 2.65412E-105 0.0068 0.006770737 8.56322E-105 0.0067 0.006770737 5.00373E-095 0.0067 0.006770737 5.00373E-0910 0.0043 0.004451138 2.28427E-0810 0.0045 0.004451138 2.38748E-0915 0.0029 0.002827555 5.24834E-0915 0.0029 0.002827555 5.24834E-0920 0.0016 0.001725048 1.5637E-0820 0.0018 0.001725048 5.61782E-0925 0.001 0.001002784 7.74961E-12

0.114900621

d2f/fnfk

matriz de variable independiente hessianoxi 6551.28729

0.81988738 -38159.23270.03286083

hessiano inverso0.0099607920.001683892

ninkin

iter iter iter iter iter0 1 2 3 4

0.5 0.50191304 0.583912563 0.577689062 0.6696534410.0059 0.00629993 0.009008677 0.009369254 0.01385406

iter iter iter iter iter0 1 2 3 4

0.5 0.49997951 0.499965489 0.499968464 0.4999704690.0059 0.00627814 0.006279411 0.006279386 0.006279417

0 1 2 3 4 5 6 7 8 9 100

0.5

1

1.5

2

2.5

n

n

0 1 2 3 4 5 6 7 8 9 100.49994

0.49995

0.49996

0.49997

0.49998

0.49999

0.5

0.50001

Row 123

0 1 2 3 4 5 6 7 8 9 100.49994

0.49995

0.49996

0.49997

0.49998

0.49999

0.5

0.50001

Row 123

0.819887392 ni-1 0.819887370.032860842 ki-1 0.03286082

primeraas derivadas

df/dn df/dkni-1 0.8198873718 n1ki 0.0328608315 k1+1

t pa pacalc fobj tmin bar min0 0.01 0.01 2.7083E-35 02 0.0088 0.00858371 4.6782E-08 22 0.0086 0.00858371 2.654E-10 25 0.0068 0.00677074 8.5629E-10 55 0.0067 0.00677074 5.0038E-09 55 0.0067 0.00677074 5.0038E-09 510 0.0043 0.00445114 2.2843E-08 1010 0.0045 0.00445114 2.3874E-09 1015 0.0029 0.00282756 5.2482E-09 1515 0.0029 0.00282756 5.2482E-09 1520 0.0016 0.00172505 1.5637E-08 2020 0.0018 0.00172505 5.6177E-09 2025 0.001 0.00100278 7.7526E-12 25

0.11490062

segundas derivadas

df/dnni 0.8198873818 ni-1ki 0.0328608315 ki

t pa pacalc fobj tmin bar min0 0.01 0.01 1.2037E-35 02 0.0088 0.00858371 4.6782E-08 22 0.0086 0.00858371 2.654E-10 25 0.0068 0.00677074 8.5628E-10 55 0.0067 0.00677074 5.0038E-09 55 0.0067 0.00677074 5.0038E-09 510 0.0043 0.00445114 2.2843E-08 10

10 0.0045 0.00445114 2.3874E-09 1015 0.0029 0.00282756 5.2482E-09 1515 0.0029 0.00282756 5.2482E-09 1520 0.0016 0.00172505 1.5637E-08 2020 0.0018 0.00172505 5.6177E-09 2025 0.001 0.00100278 7.7535E-12 25

0.11490062

d2f/dn2 6551.2872904

ni+1 0.8198873918 ni-1ki-1 0.0328608215 ki+1

t pa pacalc fobj tmin bar min0 0.01 0.01 1.2037E-35 02 0.0088 0.00858371 4.6782E-08 22 0.0086 0.00858371 2.6539E-10 25 0.0068 0.00677074 8.5622E-10 55 0.0067 0.00677074 5.004E-09 55 0.0067 0.00677074 5.004E-09 510 0.0043 0.00445114 2.2843E-08 1010 0.0045 0.00445114 2.3873E-09 1015 0.0029 0.00282756 5.248E-09 1515 0.0029 0.00282756 5.248E-09 1520 0.0016 0.00172505 1.5638E-08 2020 0.0018 0.00172505 5.6175E-09 2025 0.001 0.00100279 7.7593E-12 25

0.11490062

-38159.2327

gradiente-38159.2327 -0.0067492225724.8555 -0.002619

hessiano inverso0.001683892 -7.164E-050.000289095 -1.212E-05

0.8199590190.032872954

iter iter iter iter iter5 6 7 8 9

0.656386539 0.7665206397 0.74307487 1.34781395 2.161283680.014121929 0.022172744 0.02217805 0.09151136 0.09989177

iter iter iter iter iter5 6 7 8 9

0.499965785 0.4999696146 0.49997559 0.49996616 0.499976760.006279175 0.0062797003 0.00627957 0.00627981 0.00627993

0 1 2 3 4 5 6 7 8 9 100

0.5

1

1.5

2

2.5

n

n

0 1 2 3 4 5 6 7 8 9 100.49994

0.49995

0.49996

0.49997

0.49998

0.49999

0.5

0.50001

Row 123

0 1 2 3 4 5 6 7 8 9 100.49994

0.49995

0.49996

0.49997

0.49998

0.49999

0.5

0.50001

Row 123

df/dk0.81988738 ni 0.819887380.03286084 ki-1 0.03286082

pa pacalc fobj t pa pacalcbar min bar0.01 0.01 1.2037E-35 0 0.01 0.01

0.0088 0.00858371 4.6782E-08 2 0.0088 0.008583710.0086 0.00858371 2.6541E-10 2 0.0086 0.008583710.0068 0.00677074 8.5633E-10 5 0.0068 0.006770740.0067 0.00677074 5.0037E-09 5 0.0067 0.006770740.0067 0.00677074 5.0037E-09 5 0.0067 0.006770740.0043 0.00445114 2.2843E-08 10 0.0043 0.004451140.0045 0.00445114 2.3875E-09 10 0.0045 0.004451140.0029 0.00282755 5.2484E-09 15 0.0029 0.002827560.0029 0.00282755 5.2484E-09 15 0.0029 0.002827560.0016 0.00172505 1.5637E-08 20 0.0016 0.001725050.0018 0.00172505 5.6179E-09 20 0.0018 0.001725050.001 0.00100278 7.7487E-12 25 0.001 0.00100279

0.11490062

df/dn -0.002619

d2f/dk0.81988737 ni 0.819887380.03286083 ki+1 0.03286084

pa pacalc fobj t pabar min bar0.01 0.01 2.7083E-35 0 0.01

0.0088 0.00858371 4.6782E-08 2 0.00880.0086 0.00858371 2.654E-10 2 0.00860.0068 0.00677074 8.5629E-10 5 0.00680.0067 0.00677074 5.0038E-09 5 0.00670.0067 0.00677074 5.0038E-09 5 0.00670.0043 0.00445114 2.2843E-08 10 0.0043

0.0045 0.00445114 2.3874E-09 10 0.00450.0029 0.00282756 5.2482E-09 15 0.00290.0029 0.00282756 5.2482E-09 15 0.00290.0016 0.00172505 1.5637E-08 20 0.00160.0018 0.00172505 5.6177E-09 20 0.00180.001 0.00100278 7.7526E-12 25 0.001

0.11490062

d2f/fnfk0.81988737 ni-1 0.819887370.03286084 ki-1 0.03286082

pa pacalc fobj t pa pacalcbar min bar0.01 0.01 2.7083E-35 0 0.01 0.01

0.0088 0.00858371 4.6782E-08 2 0.0088 0.008583710.0086 0.00858371 2.6542E-10 2 0.0086 0.008583710.0068 0.00677074 8.5634E-10 5 0.0068 0.006770740.0067 0.00677074 5.0037E-09 5 0.0067 0.006770740.0067 0.00677074 5.0037E-09 5 0.0067 0.006770740.0043 0.00445114 2.2843E-08 10 0.0043 0.004451140.0045 0.00445114 2.3875E-09 10 0.0045 0.004451140.0029 0.00282755 5.2484E-09 15 0.0029 0.002827560.0029 0.00282755 5.2484E-09 15 0.0029 0.002827560.0016 0.00172505 1.5637E-08 20 0.0016 0.001725050.0018 0.00172505 5.6179E-09 20 0.0018 0.001725050.001 0.00100278 7.7478E-12 25 0.001 0.00100279

0.11490062

iter iter iter iter iter iter iter0 1 2 3 4 5 6

0.7 0.72062364 0.75382496 0.76604831 0.78815255 0.79455745 0.799495810.02 0.01960063 0.0230397 0.02480218 0.02771486 0.02881201 0.02957506Er 2.861916 4.40438029 1.59563641 2.80456409 0.8060961 0.61768477

0 5 10 15 20 25

-2

-1

0

1

2

3

4

5

6

7

Row 103

0 5 10 15 20 25 300.6

0.65

0.7

0.75

0.8

0.85

0.9

Row 101

df/dk

fobj

1.2037E-354.6782E-082.6539E-108.5623E-105.0039E-095.0039E-092.2843E-082.3873E-095.248E-095.248E-091.5637E-085.6175E-097.7584E-120.11490062

d2f/dkni 0.81988738ki 0.03286083

pacalc fobj t pa pacalc fobjmin bar

0.01 1.2037E-35 0 0.01 0.01 1.20371E-350.00858371 4.6782E-08 2 0.0088 0.00858371 4.67818E-080.00858371 2.6541E-10 2 0.0086 0.00858371 2.654E-100.00677074 8.5633E-10 5 0.0068 0.00677074 8.56281E-100.00677074 5.0037E-09 5 0.0067 0.00677074 5.00382E-090.00677074 5.0037E-09 5 0.0067 0.00677074 5.00382E-090.00445114 2.2843E-08 10 0.0043 0.00445114 2.2843E-08

0.00445114 2.3875E-09 10 0.0045 0.00445114 2.38738E-090.00282755 5.2484E-09 15 0.0029 0.00282756 5.24819E-090.00282755 5.2484E-09 15 0.0029 0.00282756 5.24819E-090.00172505 1.5637E-08 20 0.0016 0.00172505 1.56372E-080.00172505 5.6179E-09 20 0.0018 0.00172505 5.61769E-090.00100278 7.7487E-12 25 0.001 0.00100278 7.75355E-12

0.11490062 0.114900621

d2f/dk2 225724.8555

fobj

2.7083E-354.6782E-082.6539E-108.5624E-105.0039E-095.0039E-092.2843E-082.3873E-095.248E-095.248E-091.5637E-085.6176E-097.7575E-120.11490062

iter iter iter iter iter iter iter7 8 9 10 11 12 13

0.80223391 0.85014406 0.84207645 0.83731621 0.84277433 0.83870029 0.8326949090.030003 0.03740537 0.03684891 0.03593247 0.03695255 0.036193 0.035083078

0.34130966 5.63553288 -0.9580619 -0.5685113 0.64763691 -0.485756 -0.72119836

0 5 10 15 20 25 300.6

0.65

0.7

0.75

0.8

0.85

0.9

Row 101

d2f/dkni 0.81988738ki-1 0.03286082

t pa pacalc fobjmin bar0 0.01 0.01 1.2037E-352 0.0088 0.00858371 4.6782E-082 0.0086 0.00858371 2.6539E-105 0.0068 0.00677074 8.5623E-105 0.0067 0.00677074 5.0039E-095 0.0067 0.00677074 5.0039E-0910 0.0043 0.00445114 2.2843E-08

10 0.0045 0.00445114 2.3873E-0915 0.0029 0.00282756 5.248E-0915 0.0029 0.00282756 5.248E-0920 0.0016 0.00172505 1.5637E-0820 0.0018 0.00172505 5.6175E-0925 0.001 0.00100279 7.7584E-12

0.11490062

iter iter iter iter iter iter iter14 15 16 17 18 19 20

0.84261698 0.84261564 0.8426181 0.84266673 0.84265721 0.84259267 0.842709420.03688981 0.03692171 0.03691424 0.03689362 0.0369097 0.03693125 0.036954951.1775309 -0.0001595 0.00029232 0.00577015 -0.0011289 -0.0076604 0.01385507

iter iter iter iter iter iter iter21 22 23 24 25 26 27

0.83813625 0.83275128 0.82019285 0.82009731 0.82005097 0.81988738 0.819959020.03608561 0.03509674 0.0328424 0.03289621 0.03288851 0.03286083 0.03287295-0.5456361 -0.6466487 -1.5311551 -0.0116501 -0.0056508 -0.0199525 0.00873666

iter iter iter iter28 29 30 31