20 



TABLES FOR DETERMINING THE VALUES OF i ( *> AND ITS DERIVATIVES. 







LOGARITHMIC 



VALUES OF / («) . a 3 



iflW 







a 



log f * 



log var. for 

 .001 of a. 



log " *. 



log var. for 

 .001 of a. 



a 5 D 3 i?> 

 log » * 



log var. for 

 .001 of a. 



log t i 



log var. for 

 .001 of a. 



.500 



0.8784588 



3.2760 



0.6136367 



3.90264 



0.9058667 



3.0955 



0.7069614 



3.67950 



.505 



.8794070 



.2797 



.6176356 



.90328 



.9064930 



.1001 



.7093593 



.68222 



.510 



.8803632 



.2833 



.6216400 



.90387 



.9071259 



.1046 



.7117721 



.68489 



.515 



.8813274 



.2869 



.6256498 



.90442 



.9077654 



.1091 



.7141998 



.68752 



.520 



.8822994 



.2904 



.6296644 



.90493 



.9084115 



.1136 



.7166421 



.69011 



.525 



0.8832793 



3.2939 



0.6336836 



3.90540 



0.9090643 



3.1180 



0.7190988 



3.69266 



.530 



.8842670 



.2973 



.6377069 



.90583 



.9097237 



.1224 



.7215699 



.69516 



.535 



.8852625 



.3007 



.6417341 



.90622 



.9103898 



.1268 



.7240552 



.69762 



.540 



.8862658 



.3041 



.6457646 



.90658 



.9110626 



.1311 



.7205545 



.70004 



.545 



.8872768 



.3074 



.6497983 



.90690 



.9117421 



.1354 



.7290676 



.70242 



.550 



0.8882955 



3.3107 



0.6538348 



3.90718 



0.9124283 



3.1397 



0.7315945 



3.70477 



.555 



.8893219 



.3139 



.6578738 



.90742 



.9131213 



.1439 



.7341349 



.70708 



.560 



.8903559 



.3171 



.6619149 



.90763 



.9138211 



.1481 



.7366888 



.70935 



.565 



.8913975 



.3203 



.6659580 



.90781 



.9145276 



.1523 



.7392560 



.71159 



.570 



.8924466 



.3234 



.6700026 



.90796 



.9152409 



.1564 



.7418363 



.71380 



.575 



0.8935033 



3.3265 



0.6740486 



3.90809 



0.9159611 



3.1605 



0.7444296 



3.71597 



.580 



.8945674 



.3295 



.6780955 



.90819 



.9166881 



.1646 



.7470358 



.71812 



.585 



.8956390 



.3325 



.6821432 



.90826 



.9174220 



.1687 



.7490548 



.72023 



.590 



.8967180 



.3355 



.6861914 



.90831 



.9181628 



.1728 



.7522865 



.72231 



.595 



.8978044 



.3384 



.6902399 



.90833 



.9189106 



.1768 



■ .7549308 



.72436 



.600 



0.8988982 



3.3413 



0.6942883 



3.90832 



0.9196653 



3.1808 



0.7575875 



3.72637 



.605 



.8999993 



.3442 



.6983366 



.90828 



.9204270 



.1848 



.7602564 



.72835 



.610 



.9011076 



.3471 



.7023844 



.90823 



.9211957 



.1888 



.7629375 



.73032 



.615 



.9022232 



.3499 



.7064315 



.90815 



.9219714 



.1927 



.7656306 



.73226 



.620 



.9033460 



.3527 



.7104777 



.90804 



.9227542 



.1966 



.7683357 



.73417 



.625 



0.9044760 



3.3555 



0.7145228 



3.90790 



0.9235441 



3.2005 



0.7710526 



3.73605 



.630 



.9056131 



.3582 



.7185666 



.90774 



.9243411 



.2044 



.7737812 



.73791 



.635 



.9067574 



.3609 



.7226090 



.90757 



.9251452 



.2083 



.7765215 



.73974 



.640 



.9079087 



.3636 



.7266497 



.90738 



.9259564 



.2122 



.7792734 



.74155 



.545 



.9090671 



.3662 



.7306886 



.90718 



.9267749 



.2160 



.7820367 



.74334 



.650 



0.9102325 



3.3688 



0.7347255 



3.90696 



0.9276007 



3.2198 



0.7848114 



3.74512 



.655 



.9114049 



.3714 



.7387602 



.90672 



.9284338 



.2236 



.7875974 



.74688 



.660 



.9125842 



.3739 



.7427926 



.90647 



.9292743 



.2274 



.7903945 



.74862 



.605 



.9137705 



.3764 



.7468224 



.90620 



.9301222 



.2312 



.7932027 



.75034 



.670 



.9149636 



.3789 



.7508496 



.90591 



.9309774 



.2350 



.7960220 



.75204 



.675 



0.9161636 



3.3814 



0.7548741 



3.90560 



0.9318400 



3.2388 



0.7988523 



3.75372 



.680 



.9173704 



.3839 



.7588957 



.90527 



.9327100 



.2425 



.8016934 



.75537 



.685 



.9185840 



.3863 



.7629142 



.90493 



.9335876 



.2462 



.8045455 



.75701 



.690 



.9198044 



.3887 



.7669295 



.90458 



.9344727 



.2499 



.8074084 



.75864 



.695 



.9210316 



.3911 



.7709416 



.90422 



.9353655 



.2536 



.8102820 



.76026 



.700 



0.9222655 



3.3935 



0.7749503 



3.90385 



0.9362660 



3.2573 



0.8131664 



3.76188 



.705 



.9235061 



.3958 



.7789555 



.90346 



.9371742 



.2610 



.8160614 



.76348 



.710 



.9247533 



.3981 



.7829571 



.90306 



.9380901 



.2647 



.8189669 



.76506 



.715 



.9260072 



.4004 



.7869550 



.90265 



.9390139 



.2684 



.8218829 



.76662 



.720 



.9272677 



.4027 



.7909492 



.90223 



.9399456 



.2721 



.8248095 



.76817 



.725 



0.9285348 



3.4050 



0.7949395 



3.90181 



0.9408852 



3.2758 



0.8277466 



3.76971 



.730 



.9298084 



.4072 



.7989258 



.90138 



.9418327 



.2795 



.8306941 



.77124 



.735 



.9310885 



.4094 



.8029081 



.90094 



.9427882 



.2832 



.8336519 



.77274 



.740 



.9323751 



.4116 



.8068863 



.90049 



.9437518 



.2868 



.8366199 



.77424 



.745 



.9336682 



.4138 



.8108603 



.90003 



.9447234 



.2904 



.8395983 



.77573 



.750 



0.9349677 



3.4159 



0.8148302 



3.89957 



0.9457032 



3.2940 



0.8425871 



3.77722 



