130 REPORTS ON THE STATE OF SCIENCE.—1913. 
Neumann Functions—continued. 
x Go(2’) Gi(z) x Gola) Gi(w) 
15°47 —0°2733413 —0-1725261 15°74 —0:2178739 —0-2356711 
15-48 —0-2716030 —0°1751385 15:75 —0:2155071 —0-2376877 
15°49 —0°2698386 —0°1777318 15:76 —0:2131203 —0-2396794 
15:50 —0-2680484 —0-:1803057 15:77 —0:2107136 —0-2416460 
15°51 —0-2662326 —0-1828600 15-78 —0-2082874 —0-2435872 
15°52 —0-2643913 —0°1853945 15°79 —0°2058420 —0:2455029 
15°53 —0:°2625248 —0:1879088 || 15°80 —0:2033775 —0:2473930 
15°54 —0-2606332 —0:1904029 || 15°81 —0-2008943 —0:2492573 
15°55 —0-2587168 —0-1928764 15°82 —0-1983925 —0°2510955 
15°56 —0°2567757 —0-1953291 15°83 —0°1958724 —0-2529076 
15°57 —0°2548102 —0-°1977608 15°84 —0°1933344 —0°2546934 
15°58 —0-2528205 —0:2001712 || 15°85 —0:1907787 | —0-2564527 
15-59 —0-2508068 —0-2025602 | 15-86 —0-°1882055 —0-2581853 
15-60 —0-2487694 —0:2049274 15°87 —0-°1856151 —0-°2598912 
15-61 —0°2467084 —0:2072727 || 15°88 —0-°1830077 —0-2615701 
15°62 —0-°2446240 —0-2095959 || 15°89 —0°1803837 —0-2632219 
15°63 —0°2425165 —0-2118967 15-90 —0°1777434 —0-2648464 
15-64 —0-2403861 —0°2141750 || 15-91 —0-1750869 —0-2664436 
15°65 —0-2382330 —0°2164305 || 15-92 —0-1724146 —0-2680132 
15°66 —0:2360575 —0-2186630 15-93 —0-1697267 —0-2695552 
15:67 —0-2338598 _—0°2208723 || 15-94 —0-°1670236 —0-2710693 
15-68 —0-2316401 —0-2230582 || 15:95 —0-°1643055 —0°2725555 
15-69 —0-2293987 —0-2252205 |! 15-96 —0:1615726 —0-2740136 
15:70 —0-2271358 —0-2273590 || 15:97 —0:°1588253 —0°2754436 
15°71 —0°2248516 —0-2294735 15-98 —0-1560638 —0:°2768452 
15°72 | —0°2225464 —0-2315638 | 15:99 —0-°1532885 —0°2782184 
15-73 | —0-2202204 —0-2336297 || 16:00 —0°1504996 —0-2795630 
Investigation of the Upper Atmosphere, in co-operation with a 
Committee of the Royal Meteorological Society.—Twelfth 
Report of the Committee, consisting of Dr. W. N. SHaw 
(Chairman), Mr. E. Goup (Secretary), Messrs. D. ARCHIBALD, ' 
C. J. P. Cave, and W. H. Dinss, Dr. R. T. GLAZEBROOK, 
Sir Jos—EpH LaARMoR, Professor J. E. PETAVEL, Dr. A. 
ScHUSTER, and Dr. W. WATSON. 
A meETING of the Joint Committee was held in the rooms of the 
Royal Meteorological Society on April 8, 1913. It was decided to 
continue the ascents at Mungret College, Limerick, with funds pro- 
vided by the Royal Meteorological Society, and to approve of the 
allocation of the grant of 50]. made by the Association at Dundee to 
the purchase of instruments and balloons for the meteorologist accom- 
panying the ice ship ‘ Scotia,’ Mr. G. I. Taylor, Schuster Reader in 
Meteorology. 
Ascents have been made at Mungret College on July 6, 31, 
October 4, November 7, 1912, January 3, July 3, 1913, and also on 
four days during the International week (May 5-10), when observations 
were obtained which, in conjunction with others made at Pyrton Hill 
and Eskdalemuir (forming with Limerick a nearly equilateral triangle), 
give a remarkable series in illustration of the structure of a cyclonic 
