Computed Response Functions for the Gaussian Distribution

Appendix

G / Computed Gaussian

Response Functions Distribution

for the

T h i s appendix gives two tables of functions c o m p u t e d from the G a u s sian (or lognormal) distribution [taken from Nowick and Berry (1961)]. T a b l e G - l gives the peak function f2(xr, ), which is related to the response function J 2(x’) by E q . (4.5-14). H e r e x’ = l o g 10 COT W, is the lognormal distribution parameter and xm is the most probable relaxation time. T h e tabulated function f2(x\ ) is normalized to a peak value of 1.00 by dividing b y / 2 ( 0 , ). T a b l e G - 2 gives the function g(yf, ), which is related to the creep function by E q . (4.5-15), where y’ = l o g 1 0( * / T W) .

632

633

COMPUTED RESPONSE FUNCTIONS: GAUSSIAN DISTRIBUTION TABLE

G-l

T H E NORMALIZED PEAK FUNCTION f2(x’, χ·

0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1.95 2.00 2.05 2.10 2.15 2.20 2.25 2.30 2.35 2.40 2.45 2.50 2.55 2.60 2.65 2.70 2.75 2.80 2.85 2.90 2.95 3.00

0=0 1.000 .9934 .9740 .9431 .9025 .8544 • 8011 .7447 .6872 .6302 .5749 .5221 .4725 .4263 .3837 .3447 .3092 .2769 .2478 • 2216 .1980 .1768 .1578 .1408 .1256 .1121 .0999 .0891 .0794 .0708 .0631 .0563 .0502 .0447 .0398 .0355 .0316 • 0282 .0251 • 0224 .0199 .0178 .0158 .0141 .0126 .0112 .0100 .0089 .0079 .0070 .0063 .0056 • 0050 • 0044 • 0039 • 0035 • 0031 .0028 .0025 .0022 .0020

0.2

1.000 .9936 • 9750 .9451 • 9057 • 8588 • 8066 .7511 • 6943 .6377 .5825 .5296 • 4798 .4332 • 3902 .3507 • 3147 • 2820 .2524 .2258 .2018 .1802 .1609 . 1436 .1281 .1143 .1019 .0909 .0810 .0722 .0644 .0574 .0512 .0456 • 0406 .0362 • 0323 .0288 .0256 • 0228 .0203 • 0181 .0162 • 0144 .0128 • 0114 .0102 • 0091 .0081 .0072 .0064 .0057 .0051 .0045 .0040 .0036 .0032 .0028 .0025 .0022 • 0020

0.4

1,000 .9942 .9773 • 9501 .9138 .8702 .8210 .7682 .7133 .6580 .6034 .5507 .5004 .4531 .4090 • 3684 .3311 .2971 • 2662 .2383 • 2131 .1904 .1701 .1519 .1355 .1209 .1079 .0962 • 0858 • 0765 • 0682 • 0608 • 0542 • 0483 • 0430 • 0384 • 0342 .0305 .0271 .0242 .0216 .0192 .0171 .0152 .0136 .0121 .0108 .0096 .0086 .0076 .0068 .0060 .0054 • 0048 .0043 .0038 .0034 .0030 .0027 .0024 .0021

0.6

1.000 .9949 • 9801 .9561 .9239 • 8847 .8399 • 7910 .7394 • 6865 .6336 • 5816 .5314 .4835 .4383 .3962 • 3572 .3214 • 2886 .2588 .2318 .2074 .1855 .1657 .1480 .1321 .1179 .1052 .0938 • 0837 .0746 • 0665 .0593 .0528 .0471 .0420 .0374 .0333 .0297 .0265 .0236 .0210 .0187 .0167 .0149 .0133 .0118 .0105 .0094 .0083 .0074 • 0066 • 0059 • 0052 .0047 .0042 .0037 .0033 .0029 .0026 .0023

0.8

1.000 .9956 .9829 .9621 .9339 .8994 .8593 .8151 .7677 .7184 .6681 .6180 .5687 .5209 .4752 .4320 .3915 .3538 .3189 • 2870 • 2577 • 2312 .2071 • 1854 .1658 • 1481 .1323 • 1181 .1054 • 0941 .0839 • 0748 .0667 • 0595 .0530 .0473 .0421 .0376 .0335 .0298 .0266 .0237 .0211 • 0188 • 0168 .0149 • 0133 .0119 • 0106 .0094 .0084 .0075 .0066 .0059 • 0053 .0047 .0042 .0037 .0033 .0029 .0026

1.00

1.000 .9963 .9853 .9674 .9430 .9127 .8774 .8379 .7950 .7498 .7030 .6556 • 6082 .5616 • 5164 .4728 • 4314 • 3923 .3557 .3217 .2903 .2614 .2350 .2110 .1892 .1694 .1516 .1355 .1211 .1082 .0966 • 0862 .0769 • 0686 .0612 • 0546 • 0486 • 0434 • 0386 • 0344 • 0307 .0274 • 0244 .0217 .0194 .0173 .0154 .0137 • 0122 .0109 .0097 • 0086 .0077 • 0068 .0061 • 0054 .0048 .0043 .0038 .0034 .0030

1.25 1.000 .9969 .9878 .9729 .9525 .9270 .8970 • 8629 .8256 .7356 .7436 • 7004 .6565 .6125 .5689 .5263 .4850 .4453 .4075 .3717 .3381 .3068 .2777 .2508 .2261 .2035 • 1829 • 1642 .1472 .1318 • 1180 .1055 • 0943 .0842 .0752 .0671 .0599 .0534 .0477 .0425 .0379 .0338 .0301 • 0268 .0239 .0213 .0190 .0169 .0151 .0134 • 0120 .0107 .0095 .0085 .0075 .0067 .0060 .0053 .0047 .0042 .0038

) /2(0, 1.50 1.000 .9974 • 9898 .9774 • 9602 • 9386 • 9130 • 8838 • 8514 .8164 .7792 .7404 .7004 • 6598 • 6189 • 5784 • 5384 • 4994 • 4616 .4252 .3905 .3576 .3266 .2974 .2703 • 2451 • 2218 • 2003 • 1806 • 1626 .1462 .1313 .1178 .1056 .0945 • 0846 .0756 • 0676 • 0604 • 0539 • 0481 • 0430 • 0383 .0342 .0305 .0272 .0242 .0216 .0192 .0172 .0153 • 0136 .0121 • 0108 • 0096 • 0086 .0076 • 0068 .0061 • 0054 .0048

) 1.75 1.000 .9978 .9914 .9809 .9663 .9480 • 9261 .9009 .8729 .8422 .8094 .7748 .7389 .7019 • 6643 • 6264 • 5886 .5512 • 5144 .4785 • 4438 .4104 • 3784 • 3479 .3191 .2919 • 2664 • 2426 • 2205 • 2000 • 1811 .1637 • 1477 .1331 • 1198 .1077 .0967 • 0868 .0778 .0697 .0624 .0558 .0499 .0446 .0398 .0355 .0317 .0283 .0252 .0225 .0201 .0179 .0160 .0142 .0127 .0113 .0101 .0090 .0080 .0071 • 0063

2.00

1.000 • 9981 • 9927 .9837 .9713 .9555 .9367 .9150 .8905 .8637 .8348 .8041 .7719 .7385 .7042 • 6693 .6341 • 5988 .5638 • 5292 .4953 • 4623 • 4302 • 3993 .3697 • 3413 .3144 • 2889 • 2649 • 2424 • 2213 • 2017 • 1834 • 1666 • 1510 • 1366 .1235 • 1114 .1005 • 0904 .0813 • 0731 • 0656 • 0588 • 0527 • 0472 • 0422 .0378 • 0338 .0302 • 0270 .0241 • 0215 .0192 • 0171 .0153 .0136 .0121 • 0108 .0096 • 0086

2.25 1.000 • 9984 .9937 • 9860 • 9753 .9617 • 9454 • 9264 • 9051 • 8816 • 8561 • 8288 • 8000 • 7699 .7388 • 7069 • 6744 • 6417 • 6088 .5760 .5435 .5115 • 4801 • 4494 • 4197 .3910 • 3634 .3370 • 3118 • 2878 • 2651 • 2437 • 2236 • 2047 • 1871 • 1707 .1555 • 1414 • 1283 • 1164 • 1053 .0952 • 0860 .0776 .0699 • 0629 • 0566 • 0508 • 0456 • 0409 • 0367 • 0328 • 0294 • 0263 • 0235 • 0210 • 0188 • 0168 .0150 .0134 .0119

634

APPENDIX G T A B L E G - l (continued)

X' 0.00 0.05 0.10 0.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.00 1.05 1.10 1.15 1.20 1.25 1.30 1.35 1.40 1.45 1.50 1.55 1.60 1.65 1.70 1.75 1.80 1.85 1.90 1.95 2.00 2.05 2.10 2.15 2.20 2.25 2.30 2.35 2.40 2.45 2.50 2.55 2.60 2.65 2.70 2.75 2.80 2.85 2.90 2.95 3.00

0=2.50

2.75

3.00

3.50

4.00

4.50

5.00

5.50

6.00

6.50

7.00

1.000 • 9986 .9946 .9878 .9785 .9667 .9525 .9359 .9172 .8965 .8739 • 8496 .8239 • 7968 .7687 • 7396 .7099 .6796 .6490 • 6182 .5875 .5569 • 5266 .4969 • 4677 .4393 • 4116 • 3848 .3590 .3342 .3105 .2879 • 2664 • 2460 • 2268 • 2086 .1916 • 1757 • 1608 .1469 .1340 .1221 .1111 .1009 .0915 .0829 .0750 • 0678 • 0612 • 0552 • 0498 • 0448 .0403 • 0362 .0325 • 0292 .0262 .0234 .0210 • 0188 • 0168

1.000 • 9988 • 9952 • 9894 .9812 .9709 .9584 .9438 .9273 .9089 • 8889 .8672 • 8442 .8198 .7944 .7680 .7408 .7129 • 6846 .6559 • 6271 .5982 • 5694 .5408 .5126 .4849 .4577 .4311 .4053 .3802 .3560 .3327 .3103 .2889 .2685 .2490 .2306 .2131 .1967 .1812 • 1666 .1530 .1403 • 1284 .1174 .1072 .0977 .0889 • 0809 . 0 734 • 0666 .0603 . 0 546 .0494 .0446 .0402 .0363 .0327 .0294 .0264 .0237

1.000 .9989 .9958 .9906 .9835 .9743 .9633 .9504 .9357 .9194 .9015 • 8821 • 8614 .8395 • 8165 .7925 .7676 .7421 .7159 • 6894 .6625 .6354 • 6082 .5810 .5540 .5273 .5009 .4749 .4494 .4245 .4003 .3768 .3540 .3320 • 3108 .2905 .2711 .2525 .2348 .2180 .2021 .1870 .1778 .1594 • 1469 .1351 .1241 .1139 • 1043 .0954 • 0872 .0796 .0725 .0660 .0600 .0545 .0495 .0448 .0406 .0367 .0332

1.000 .9991 .9967 .9926 .9869 .9797 .9709 • 9606 .9489 • 9358 • 9214 .9057 • 8889 • 8710 .8520 .8321 • 8114 .7899 .7677 .7450 .7218 • 6982 .6743 • 6502 • 6260 • 6018 .5776 .5535 .5295 .5059 .4825 .4596 .4370 • 4150 .3935 .3725 .3521 .3324 .3133 .2949 .7772 .2601 .2438 • 2282 .2132 .1990 • 1855 .1727 • 1605 .1490 .1382 .1279 .1183 .1093 .1008 .0929 .0855 .0786 .0722 .0662 .0606

1.000 • 9993 .9973 • 9940 • 9894 • 9836 • 9765 • 9681 • 9586 • 9479 • 9361 .9232 • 9094 • 8945 • 8787 • 8621 • 8447 • 8266 • 8078 • 7884 .7685 .7481 .7273 .7061 .6847 • 6631 • 6414 .6195 • 5977 .5759 .5542 • 5326 .5112 .4901 .4692 • 4487 • 4285 .4087 • 3894 • 3705 • 3521 • 3342 • 3169 • 3000 • 2838 .2681 • 2529 .2383 .2243 .2109 .1981 • 1858 .1741 • 1629 .1523 • 1422 .1326 • 1236 .1150 • 1069 • 0993

1.000 • 9994 • 9978 • 9951 • 9913 .9865 • 9806 .9737 .9659 .9570 .9472 .9365 .9249 .9175 .8992 .8852 .8705 .8551 .8391 .8224 .8053 .7876 .7696 .7511 .7323 .7132 .6938 .6743 .6546 .6348 .6150 • 5951 .5753 .5556 .5360 .5165 .4972 • 4781 .4593 .4408 .4225 .4046 .3871 .3699 .3532 .3368 .3209 .3054 .2904 • 2759 • 2618 .2481 .2350 .2223 • 2101 .1984 .1871 .1763 • 1660 • 1561 .1467

1.000 .9995 .9981 .9959 .9927 .9887 • 9838 .9780 • 9714 • 9640 .9557 • 9467 .9369 • 9264 .9151 • 9032 .8906 .8775 .8637 • 8494 • 8346 • 8192 • 8035 • 7873 .7708 • 7540 .7368 .7194 • 7018 .6840 • 6661 • 6481 .6299 • 6118 .5936 • 5755 .5574 • 5394 .5216 .5039 • 4863 .4690 • 4518 .4350 • 4183 • 4020 • 3860 • 3703 • 3549 • 3398 .3251 .3108 .2969 .2833 • 2701 .2573 • 2450 • 2330 • 2214 .2102 • 1994

1.000 .9996 • 9984 .9965 .9938 .9904 .9863 • 9814 .9758 • 9694 .9624 • 9547 .9463 • 9373 .9277 .9175 • 9066 .8953 • 8834 .8710 • 8581 .8447 • 8309 • 8168 • 8022 • 7874 • 7722 .7567 .7410 .7250 .7089 .6926 .6761 .6596 .6429 • 6262 • 6095 .5928 .5761 .5594 .5429 .5264 .5100 • 4938 .4777 • 4618 • 4461 .4306 • 4154 .4004 • 3856 .3711 .3569 .3430 .3293 • 3160 .3030 • 2903 .2780 .2659 .2542

1.000 .9996 .9986 .9970 .9947 .9918 .9882 .9840 .9792 .9738 .9677 .9611 .9539 .9461 .9377 .9289 .9195 .9096 .8992 • 8884 .8771 .8654 .8533 .8409 • 8280 • 8148 • 8014 .7876 • 7735 .7592 .7447 .7300 .7151 .7001 .6849 • 6696 .6543 • 6389 .6234 .6079 .5924 .5770 .5615 .5462 .5309 .5157 .5006 .4857 .4708 .4562 • 4417 .4274 .4133 .3994 .3857 .3723 .3591 .3461 .3334 .3210 .3088

1.000 .9997 • 9988 • 9974 • 9954 • 9929 .9898 • 9862 • 9820 • 9772 • 9720 • 9662 • 9599 • 9532 • 9459 .9382 • 9300 .9213 • 9122 .9027 • 8928 • 8824 • 8718 • 8607 • 8493 .8376 • 8256 • 8133 • 8007 .7879 • 7749 • 7616 • 7481 • 7345 .7207 • 7068 .6927 • 6785 • 6643 • 6500 • 6356 • 6212 • 6068 • 5924 • 5780 .5636 .5493 .5351 .5209 .5068 • 4928 .4790 .4653 .4517 .4382 .4249 • 4118 .3989 • 3862 .3736 .3613

1.000 .9997 .9990 .9977 .9960 .9938 .9911 .9879 • 9842 • 9801 .9755 • 9704 • 9649 .9590 • 9526 .9458 • 9386 .9309 .9229 .9145 .9057 • 8966 • 8871 .8772 • 8671 • 8567 • 8459 • 8349 • 8236 • 8121 • 8003 • 7883 • 7762 • 7638 .7512 .7385 .7257 .7127 • 6996 • 6864 .6731 • 6598 • 6464 • 6330 • 6195 • 6060 .5926 • 5791 .5657 • 5523 .5390 • 5257 .5125 • 4994 • 4864 • 4735 .4607 .4480 .4355 • 4231 • 4108

635

COMPUTED RESPONSE FUNCTIONS: GAUSSIAN DISTRIBUTION TABLE THE

β=0 -1.50 -1.46 -1.42 -1.38 -1.34 -1.30 -1.26 -1.22 -1.18 -1.14 -1.10 -1.06 -1.02 -0.98 -0.94 -0.90 -0.86 -0.82 -0.78 -0.74 -0.70 -0.66 -0.62 -0.58 -0.54 -0.50 -0.46 -0.42 -0.38 -0.34 -0.30 -0.26 -0.22 -0.18 -0.14 -0.10 -0.06 -0.02 0.02 0.06 0.10 0.14 0.18 0.22 0.26 0.30 0.34 0.38 0.42 0,46 0.50 0.54 0.58 0.62 0.66 0.70 0.74 0.78 0.82 0.86 0.90 0.94 0.98

0.9689 0.9659 0.9627 0.9592 0.9553 0.9511 0.9465 0.9415 0.9361 0.9301 0.9236 0.9166 0.9089 0.9006 0.8P15 0.8817 0.8711 0.8595 0.8471 0.8336 0.8191 0.8035 0.7867 0.7687 0.7495 0.7289 0.7070 0.6837 0.6591 0.6331 0.6058 0.5772 0.5474 0.5165 0.4846 0.4519 0.4186 0.3848 0.3509 0.3172 0.2840 0.2515 0.2201 0.1902 0.1621 0.1360 0.1122 0.0908 0.0721 0.0559 0.0423 0.0312 0.0223 0.0155 0.0104 0.0067 0.0041 0.0024 0.0014 0.0007 0.0004 0.0002 0.0001

0.25

0.50

0.9684 0.9654 0.9621 0.9586 0.9547 0.9504 0.9458 0.9407 0.9352 0.9291 0.9226 0.9154 0.9077 0.8993 0.8901 0.8802 0.8694 0.8578 0.8452 0.8317 0.8171 0.8014 0.7845 0.7664 0.7471 0.7264 0.7045 0.6812 0.6566 0.6307 0.6035 0.5750 0.5454 0.5147 0.4831 0.4508 0.4179 0.3846 0.3512 0.3181 0.2854 0.2535 0.2228 0.1934 0.1658 0.1401 0.1166 0.0955 0.0768 0.0605 0.0467 0.0353 0.0260 0.0186 0.0130 0.0088 0.0058 0.0036 0.0022 0.0013 0.0007 0.0004 0.0002

0.9670 0.9638 0.9604 0.9567 0.9527 0.9482 0.9434 0.9381 0.9324 0.9262 0.9194 0.9120 0.9040 0.8952 0.8858 0.8756 0.8646 0.8526 0.8398 0.8259 0.8110 0.7950 0.7779 0.7596 0.7401 0.7194 0.6974 0.6741 0.6496 0.6239 0.5970 0.5690 0.5400 0.5101 0.4794 0.4481 0.4164 0.3844 0.3526 0.3209 0.2898 0.2596 0.2303 0.2024 0.1760 0.1514 0.1287 0.1080 0.0895 0.0731 0.0588 0.0466 0.0363 0.0278 0.0209 0.0154 0.0111 0.0079 0.0054 0.0037 0.O024 0.0016 0.0010

G-2

FUNCTION g{y\

0.75 0.9645 0.9611 0.9575 0.9535 0.9492 0.9444 0.9393 0.9337 0.9276 0.9210 0.9138 0.9060 0.8976 0.8885 0.8786 0.8679 0.8564 0.8440 0.8307 0.8164 0.8011 0.7848 0.7674 0.7488 0.7291 0.7083 0.6864 0.6633 0.6391 0.6139 0.5877 0.5606 0.5326 0.5039 0.4747 0.4451 0.4152 0.3852 0.3554 0.3260 0.2970 0.2688 0.2416 0.2156 0.1908 0.1675 0 . 1458 0.1257 0.1074 0.0909 0.0761 0.0631 0.0517 0.0419 0.0336 0.0266 0.0208 0.0160 0.0122 0.0092 0.0068 0.0050 0.0036

β)

1.00

1.25

”.5 0

U75

0.9607 0.9570 0.9531 0.9487 0.9440 0.9389 0.9333 0.9272 0.9207 0.9136 0.9059 0.8976 0.8886 0.8789 0.8684 0.8572 0.8452 0.8322 0.8184 0.8037 0.7880 0.7714 0.7537 0.7*50 0.7153 0.6947 0.6730 0.6504 0.6268 0.6025 0.5773 0.5514 0.5249 0.4979 0.4705 0.4429 0.4152 0.3874 0.3600 0.3328 0.3062 0.2802 0.2551 0.2309 0.2078 0.1858 0.1651 0.1458 0.1279 0.1114 0.0964 0.0827 0.0705 0.0596 0.0500 0.0416 0.0343 0.0281 0.0228 0.0183 0.0146 0.0115 0.0090

0.9555 0.9514 0.9470 0.9422 0.9370 0.9313 0.9252 0.9186 0.9114 0.9038 0.8954 0.8865 0.8769 0.8666 0.8556 0.8438 0.8312 0.8179 0.8036 0.7886 0.7726 0.7558 0.7381 0.7195 0.7001 0.6798 0.6587 0.6369 0.6143 0.5910 0.5672 0.5428 0.5180 0.4928 0.4674 0.4419 0.4164 0.3909 0.3657 0.3408 0.3164 0.2925 0.2693 0.2468 0.2253 0.2047 0.1850 0.1665 0.1491 0.1328 0.1177 0.1038 0.0910 0.0793 0.0688 0.0593 0.0508 0.0433 0.0366 0.0308 0.0258 0.0214 0.0177

0.9496 0.9440 0.9391 0.9337 0.9279 0.9217 0.9150 0.9078 0.9000 0.8917 0.8828 0.8732 0.8631 0.8522 0.8407 0.8284 0.8155 0.8018 0.7873 0.7721 0.7561 0.7394 0.7219 0.7036 0.6847 0.6651 0.6448 0.6239 0.6025 0.5806 0.5582 0.5354 0.5123 0.4890 0.4656 0.4421 0.4186 0.3953 0.3721 0.3493 0.3268 0.3048 0.2834 0.2625 0.2424 0.2230 0.2044 0.1867 0.1699 0.1540 0.1390 0.1250 0.1120 0.0999 0.0887 0.0785 0.0691 0.0606 0.0529 0.0459 0.0397 0.0342 0.0293

0.9400 0.9348 0.9293 0.9234 0.9170 0.9102 0.9028 0.8950 0.8867 0.8778 0.8683 0.8583 0.8476 0.8364 0.8245 0.8119 0.7988 0.7849 0.7704 0.7552 0.7394 0.7230 0.7059 0.6883 0.6700 0.6512 0.6320 0.6122 0.5920 0.5714 0.5505 0.5293 0.5079 0.4864 0.4647 0.4431 0.4215 0.4000 0.3787 0.3577 0.3370 0.3166 0.2968 0.2774 0.2586 0.2403 0.2228 0.2059 0.1897 0.1743 0.1597 0.1458 0.1327 0.1204 0.1089 0.0982 0.0882 0.0790 0.0705 0.0627 0.0555 0.0490 0.0432

APPENDIX G

636 TABL E G- 2 (continued) y -1.50 -1.46 -1·42 -1.38 -1.34 -1.30 -1.26 -1.22 -1.18 -1.14 -1.10 -1.06 -1.02 -0.98 -0.94 -0.90 -0.86 -0.82 -0.78 -0.74 -0.70 -0.66 -0.62 -0.58 -0.54 -0.50 -0.46 -0.42 -0.38 -0.34 -0.30 -0.26 -0.22 -0.18 -0.14 -0.10 -0.06 -0.02 0.02 0.06 0.10 0.14 0.18 0.22 0.26 0.30 0.34 0.38 0.42 0.46 0.50 0.54 0.58 0.62 0.66 0.70 0.74 0.78 0.82 0.86 0.90 0.94 0.98

β= 2.00

2.50

0.9297 0.9240 0.9179 0.9114 0.9044 0.8970 0.8892 0.8808 0.8720 0.8627 0.8528 0.8424 0.8314 0.8199 0.8078 0.7951 0.7819 0.7681 0.7538 0.7389 0.7234 0.7074

0.9051 0.8985 0.8914 0.8840 0.8762 0.8680 0.8594 0.8504 0.8409 0.831C 0.8208 0.8100 0.7989 0.7873 0.775*3 0.7629 0.7500 0.7368 0.7231 0.7091 0.6946 0.6799 0.6648 0.6494 0.6336 0.6176 0.6014 0.5849 0.5682 0.5514 0.5344 0.5173 0.5001 0.4829 0.4657 0.4485 0.4313 0.4143 0.3973 0.3805 0.3639 0.3476 0.3314 0.3156 0.3000 0.2848 0.2699 0.2554 0.2412 0.2276 0.2143 0.2014 0.1890 0.1771 0.1656 0.1547 0.1442 0.1341 0.1246 0.1155 0.1069 0.0987 0.0910

0.6O1 0

0.6740 0.6566 0.6387 0.6204 0.6018 0.5828 0.5636 0.5441 0.5244 0.5045 0.4846 0.4646 0.4446 0.4247 0.4049 0.3852 0.3658 0.3466 0.3278 0.3093 0.2912 0.2736 0.2564 0.2398 0.2238 0.2083 0.1934 0.1792 0.1656 0.1526 0.1403 0.1287 0.1177 0.1074 0.0977 0.0886 0.0802 0.0724 0.0652 0.0585

3.00 0.8779 0.8706 0.8630 0.8550 0.8468 0.8382 0.8293 0.8200 0.8105 0.8006 0.7903 0.7797 0.7688 0.7576 0.7461 0.7343 0.7221 0.7097 0.6970 0.6840 0.6708 0.6573 0.6436 0.6297 0.6155 0.6012 0.5868 0.5722 0.5574 0.5426 0.5277 0.5127 0.4977 0.4826 0.4676 0.4526 0.4376 0.4227 0.4079 0.3932 0.3786 0.3642 0.3499 0.3358 0.3220 0.3084 0.2950 0.2818 0.2690 0.2564 0.2442 0.2322 0.2206 0.2092 0.1983 0.1876 0.1774 0.1674 0.1579 0.1487 0.1398 0.1313 0.1232

3.50 0.8505 0.8430 0.8351 0.8270 0.8186 0.8100 0.8011 0.7920 0.7826 0.7729 0.7630 0.7528 0.7424 0.7318 0.7209 0.7098 0.6985 0.6870 0.6753 0.6634 0.6513 0.6390 0.6266 0.6140 0.6013 0.5885 0.5755 0.5625 0.5494 0.5362 0.5229 0.5097 0.4964 0.4830 0.4697 0.4564 0.4432 0.4300 0.4169 0.4038 0.3909 0.3780 0.3653 0.3527 0.3403 0.3280 0.3159 0.3040 0.2922 0.2807 0.2694 0.2583 0.2475 0.2369 0.2265 0.2164 0.2066 0.1970 0.1877 0.1786 0.1698 0.1614 0.1531

4.00 0.8246 0.8170 0.8092 0.8011 0.7929 0.7844 0.7759 0.7669 C.7579 0.7486 0.7392 0.7295 0.7197 0.7097 0.6996 0.6892 0.6788 0.6681 0.6573 0.6464 0.6353 0.6241 0.6128 0.6014 0.5899 0.5784 0.5667 0.5550 0.5432 0.5313 0.5195 0.5076 0.4957 0.4838 0.4719 0.4600 0.4481 0.4363 0.4245 0.4128 0.4012 0.3896 0.3782 0.3668 0.3555 0.3444 0.3334 0.3225 0.3118 0.3012 0.2908 0.2805 0.2704 0.2605 0.2508 0.2413 0.2319 0.2228 0.2139 0.2052 0.1966 0.1884 0.1803

5.00

6.00

7.00

0.7794 0.7721 0.7647 0.7571 0.7495 0.7417 0.7337 0.7257 0.7175 0.7092 0.7008 0.6923 0.6836 0.6749 0.6661 0.6571 0.6481 0.6390 0.6298 0.6705 0.6112 0.6018 0.5923 0.5828 0.5732 0.5635 0.5538 0.5441 0.5344 0.5246 0.5148 0.5051 0.4953 0.4854 0.4757 0.4659 0.4561 0.4464 0.4366 0.4270 0.4173 0.4077 0.3982 0.3887 0.3793 0.3700 0.3607 0.3515 0.3424 0.3334 0.3244 0.3156 0.3068 0.2982 0.2897 0.2813 0.2730 0.2648 0.2568 0.2489 0.2411 0·2335 0.2260

0.7430 0.7363 0.7295 0.7226 0.7156 0.7085 0.7014 0.6942 0.6868 0.6795 0.6720 0.6645 0.6569 0.6492 0.6415 0.6337 0.6259 0.6180 0.6101 0.6021 0.5940 0.5860 0.5778 0.5697 0.5615 0.5533 0.5451 0.5368 0.5285 0.5203 0.5120 0.5037 0.4954 0.4870 0.4788 0.4705 0.4622 0.4539 0.4457 0.4374 0.4292 0.4211 0.4129 0.4048 0.3968 0.3888 0.3808 0.3728 0.3650 0.3572 0.3494 0.3417 0.3341 0.3265 0.3190 0.3116 0.3042 0.2970 0.2898 0.2827 0.2756 0.2687 0.2618

0.7140 0*7079 0·7016 0.6954 0.6891 0·6827 0.6762 0.6698 0.6632 C.6566 0.6500 0.6433 0.6366 0.6298 0.6230 0.6161 0.6092 0.6023 0.5953 0.5884 0.5813 0.5743 0.5672 0-5601 0-5530 0.5459 0.5387 0.5316 0.5244 0.5172 0.5100 0.5028 0.4956 0.4884 0.4812 0.4740 0.4669 0.4597 0.4526 0.4454 0.4383 0.4312 0.4241 0.4170 0.4100 0.4030 0.3960 0.3891 0.3822 0.3753 0*3685 0.3617 0.3550 0.3482 0.3416 0.3350 0.3284 0.3219 0.3155 0.3091 0.3027 0.2964 0.2902