.'398 Mr. L. Isserlis : Application of Solid Hyper geometrical 

 Arbitrary origin at (3, 3) 



p' 10 = -24944 

 y 20 = l-72352 

 y 30 = l-64960 

 / 40 = 9-11360 

 p' 50 = 17-10464 



p\ n = -25048 

 p' Q2 = 1-74592 

 ^03=1-68592 

 p' u = 9-41008 

 p' Q5 = 17-64208 



p' 21 = -020404, y i2 = *02244, p' n = --49036. 

 Mean at ^=3-24944, y = 3*25048. 



Transferring to mean 



p 20 = 1-66130 

 p SQ = -39094 

 ^0 = 8-0995 

 P50 = 6-5004 

 ^=-•13242 

 p 12 = --13611 

 p n = --42788 



p 02 = l-68318 

 Pos = -40545 

 p 04 =8-36635 

 ^ 5 = 6-7460 



^ = •03333 /3/ = '034462 

 ^ = 2-9347 /3 2 ' = 2-9530 



ft = 10-009 /3/ = 9-8864 



^=-•2559. 



\=-l-02152, f=3-8588, ^ = 3-9570, 7 =-9878. 

 Using the value of n for a symmetrical distribution 



-v 



(4/3,- 10/8, + 0/3, + 2)(4/3 3 ' - 10/8,' + 6ft' + 2) 



=49-161. 



(ft'-4ft' + 3ft' + 2)(ft-4ft + 3ft + 2) 



we complete the solution by equations B and obtain 



r = 10-117,V = 9'9159, ^ = '25557, c=l'0319, c' = 1-0465. 



If we determine n from moments of the first 3 orders by 

 equations (C), we obtain # = -027218, (£ = '097035, so that the 

 equation 



(<9-</>)?i 2 + (4-46>>-(4-4<9) = 



becomes 



giving 



n 2 -55'737n + 55-737 = 



>i = 54-723 

 q = -24485 

 r = ll-263 

 r' = 11-040 

 c = -99436 

 c' = 1-0090. 



The starting point of this series is at ('487, -486). 



