FOUNDATIONS OF THE KINETIC THEORY OF GASES. 



95 



APPENDIX. 



The following little table has been calculated for the purposes of §§ 11, 28, 

 by Mr J. Clark, Neil-Arnott Scholar in the University of Edinburgh, who used 

 six-place logarithms : — 



X 



*i 



X 2 



XA 



x 3 



X 3/ X 2 



•1 



•000099 



•200665 



•00049 + 



•000990 



•00493 + 



•2 



•001537 



•405312 



•00379 + 



•007686 



•01896 + 



•3 



•007420 



•617838 



•01198 + 



•024676 



•03994- 



4 



•021814 



•841997 



•02591- 



•054537 



•06477 + 



•5 



•048675 



1-081321 



•04501 + 



•097350 



•09003- 



•6 



•090418 



1-339068 



•06752 + 



•150698 



•11254- 



•7 



•147091 



1-618194 



•09089 



•210130 



•12985 + 



•8 



•215978 



1-921318 



11241- 



•269973 



•14051 + 



■9 



•291870 



2-250723 



•12968 + 



•324301 



•14409- 



1-0 



•367879 



2-608351 



•14104- 



•367879 



•14104- 



11 



•436590 



2-995825 



•14572 + 



•396900 



•13249- 



1-2 



•491380 



3-414479 



14388 + 



•409409 



■11990 + 



1-8 



•527004 



3-865384 



■13633 + 



•405388 



•10488- 



14 



•541119 



4-349386 



•12441 + 



•386514 



•08887- 



1-5 



•533581 



4-867132 



•10962 + 



•355721 



•07309- 



1-6 



•506619 



5-419114 



•09348- 



•316637 



•05843- 



1-7 



•464174 



6-005696 



•07729- 



•273044 



•04546 + 



1-8 



•409127 



6-627149 



•06203 + 



•228404 



03447- 



1-9 



•352543 



7-283658 



■04840 - 



•185549 



•02547 + 



2-0 



•293040 



7-975359 



•03674 + 



•146520 



•01837 + 



21 



•236390 



8-702340 



•02715 + 



•112567 



■01294- 



2-2 



•185224 



9-464667 



•01956- 



084193 



•00889 



2-3 



•141065 



10-262360 



•01373 + 



•061333 



•00598- 



2-4 



•104541 



11-095474 



•00941 + 



•043559 



•00393- 



2-5 



•075390 



11-964016 



•00630 + 



•030156 



- -00252 + 



2-6 



•052962 



12-867980 



•00411- 



•020370 



•00158 + 



2-7 



•036242 



13-807388 



■00262 + 



•013423 



•00097 + 



2-8 



•024155 



14-782249 



•00162 + 



•008627 



00058 + 



29 



•015700 



15-792549 



•00099 + 



•005414 



•00034 + 



3-0 



009963 



16-838302 



•00057 + 



•003321 



•00019 + 



Here X^^g-* 2 and X s = xH~ x \ while X 2 = X£- x * + (2x 2 + l) 



•I- 



xi dx. 



The sum of the numbers in the fourth column is 1 '69268, so that the 

 approximate value of the integral in § 11, which is 0'4 of this, is 0"67707. 



The sum of the numbers in the sixth column is 1*62601, so that the value 

 of the integral in [the addition to] § 11 is about 0'6504. 



