38 



TABLES FOR DETERMINING THE VALUES OF b { '} AND ITS DERIVATIVES. 



LOGARITHMIC VALUES OF f (a) . a 3 D\ bty 



log 



u s Z> 2 6<?) 



.250 

 .255 

 .260 

 .265 



.270 



.275 

 .280 

 .285 

 .290 



.295 



.300 

 .305 

 .310 

 .315 

 .320 



.325 

 .330 

 .335 

 .340 

 .345 



.350 

 .355 

 .360 

 .365 

 .370 



.375 

 .380 

 .385 

 .390 

 .395 



.400 

 .405 

 .410 

 .415 

 .420 



.425 

 .430 

 .435 

 .440 

 .445 



.450 

 .455 

 .460 

 .465 



.470 



.475 

 .480 

 .485 

 .490 

 .495 

 .500 



1.0805386 

 .0849649 

 .0894345 

 .0939458 

 .0984971 



1.1030868 

 .1077132 

 .1123749 

 .1170701 

 .1217976 



1.1265557 

 .1313430 

 .1361582 

 .1409998 

 .1458664 



1.1507568 

 .1556696 

 .1600036 

 .1655576 

 .1705303 



1.1755207 

 .1805275 

 .1855497 

 .1905862 

 .1956359 



1.2006979 

 .2057712 

 .2108548 

 .2159477 

 .2210491 



1.2201580 

 .2312737 

 .2363952 

 .2415219 

 .2466530 



1.2517877 

 .2569254 

 .2620653 

 .2672067 

 .2723491 



1.2774917 

 .2826340 



.2877754 

 .2929152 

 .2980531 



1.3031884 

 .3083206 

 .3134493 

 .3185740 

 .3230943 



1.3288097 



log var. for 

 .001 of a. 



3.94486 

 .94919 

 .95332 

 .95725 

 .96099 



3.96454 

 .96792 

 .97114 

 .97418 

 .97706 



3.97980 

 .98238 



.98713 

 .98932 



3.99137 

 .99329 

 .99511 

 .99681 

 .99839 



3.99989 



4.00169 



.00254 



.00373 



.00482 



4.00584 

 .00080 

 .00760 

 .00835 

 .00904 



4.00965 

 .01018 

 .01065 

 .01105 

 .01139 



4.01167 

 .01189 

 .01204 

 .01215 

 .01221 



4.01220 

 .01215 

 .01204 

 .01189 

 .01171 



4.01146 

 .01119 



.01087 



.01051 



.01012 



4.00969 



« 7 D 2 &W 



1.5509654 

 .5518546 

 .5527593 

 .5536794 

 .5546147 



1.5555651 

 .5565305 

 .5575108 

 .5585059 

 .5595156 



1.5605398 

 .5615785 

 .5626315 

 .5636986 

 .5647797 



1.5658747 

 .5669834 

 .5681058 

 .5692417 

 .5703909 



1.5715534 

 .5727290 

 .5739175 



• .5751188 

 .5763329 



1.5775595 



.5787980 

 .5800499 

 .5813134 



.5825889 



1.5838762 

 .5851752 

 .5864858 

 .5878080 

 .5891415 



1.5904861 

 .5918417 

 .5932082 

 .5945856 

 .5959736 



1.5973720 



.5987807 

 .6001997 

 .6016287 

 .6030676 



1.6045163 

 .6059745 

 .6074423 

 .6089195 

 .6104059 



1.6119014 



log var. for 

 .001 of a. 



a 8 D 2 &<?> 

 log — ^ 



3.24618 

 .25370 

 .26121 

 .26844 

 .27547 



3.28235 

 .28907 

 .29566 

 .30207 

 ,30833 



3.31448 

 .32050 

 .32636 

 .33207 

 .33768 



3.34315 



.34852 

 .35378 

 .35891 

 .36393 



3.36886 

 .37367 

 .37836 

 .38299 

 .36752 



3.39194 



.39627 

 .40051 

 .40466 



.40872 



3.41268 

 .41657 



.42042 

 .42418 

 .42783 



3.43139 

 .43491 



.43837 

 .44176 

 .44504 



3.44826 

 .45144 

 .45454 

 .45757 

 .46054 



3.46344 

 .46667 

 .46909 

 .47182 

 .47450 



3.47711 



1.0242079 

 .0293223 

 .0344800 

 .0390791 

 .0449176 



1.0501935 

 .0555049 

 .0608500 

 .0662269 

 .0716339 



1.0770692 

 .0825310 

 .0880179 

 .0935281 

 .0990602 



1.1046126 

 .1101838 

 .1157726 

 .1213775 

 .1269972 



1.1326303 

 .1382757 

 .1439321 

 .1495983 

 .1552731 



1.1609555 

 .1666444 

 .1723369 

 .1780378 

 .1837403 



1.1894455 

 .1951524 

 .2008602 

 .2065681 

 .2122752 



1.2179809 

 .2236844 

 .2293850 

 .2350819 

 .2407746 



1.2464624 

 .2521446 



.2578208 

 .2634903 

 .2691527 



1.2748074 

 .2804539 

 .2800917 

 .2917205 

 .2973397 



1.3029490 



log var. for 

 .001 of a. 



4.00788 

 .01165 

 .01522 

 .01860 

 .02179 



4.02479 

 .02762 

 .03027 

 .03278 

 .03512 



4.03731 

 .03930 

 .04127 

 .04306 

 .04472 



4.04624 

 .04706 

 .04898 

 .05017 

 .05126 



4.05225 

 .05315 

 .05395 

 .05465 



.05528 



4.05581 

 .05627 

 .05669 

 .05696 

 .05720 



4 05733 

 .05742 

 .05747 

 .05748 

 .05741 



4.05727 

 .05706 

 .05680 

 .05649 

 .05614 



4.05575 

 .05532 

 .05484 

 .05432 

 .05375 



4.05313 



.05248 

 .05179 

 .05107 

 .05032 

 4.04955 



a 7 I? 4<?> 



1.4607385 

 .4623217 

 .4639290 

 .4655600 

 .4672142 



1.4688914 

 .4705913 

 .4723134 



.4740573 

 .4758226 



1.4776090 

 .4794161 

 .4812435 

 .4830908 

 .4849578 



1.4868439 

 .4887488 

 .4906721 

 .4926135 

 .4945725 



1.4965488 

 .4985420 

 .5005516 

 .5025774 

 .5046190 



1.5066760 

 .5087479 

 .5108345 

 .5129353 

 .5150501 



1.5171785 

 .5193200 

 .5214743 

 .5236411 

 .5258200 



1.5280106 

 .5302127 

 .5324257 

 .5346494 

 .5368834 



1.5391274 

 .5413810 

 .5436440 

 .5459160 

 .5481967 



1.5504857 

 .5527827 

 .5550873 

 .5573993 

 .5597183 



1.5620441 



log var. for 

 .001 of a. 



3.49721 

 .50386 

 .51032 

 .51657 

 .52262 



3.52854 

 .53428 

 .53983 

 .54521 

 .55043 



3.55552 

 .56044 

 .56522 

 .56988 

 .57439 



3.57875 

 .58299 

 .58712 

 .59111 



.59498 



3.59874 ' 

 .60237 

 .60588 

 .60931 

 .61264 



3.61583 



.61894 

 .62194 

 .62487 

 .62769 



3.63042 

 .63304 

 .63559 

 .63806 

 .64043 



3.64273 

 .64494 

 .64706 

 .64911 

 .65108 



3.65298 

 .65481 

 .65658 

 .65827 

 .65989 



3.66143 



.66291 

 .66432 

 .66567 

 .66697 

 3.66820 



