72 



Lietit.-General Strachey. On the 



46'07016p 4 = (l-^_){2 9 -2 10 +S n -2 12 + 2 13 } 



+ 8{ ff 4 — 3<r 13 + 5<r 22— 7*31} + K + (36), 



45-37025 24 = (l-A){[2A]-[^4] + [2 5 2 6 ]-[2 7 2 8 ]'| 



+M-^6+2a l7 -3^-^ H-5^-6a 18 +7^ 7 }. 



Tlie reciprocals of the numerical coefficients of the several _p's and 

 g's in the above equations will be the multipliers of the quantities 

 represented by the right-hand portions of those equations, which will 

 be obtained by suitable combinations of the five-day means. The 

 multipliers are — 



For^j and q-^ 

 „ p 3 and q 2 

 „ p s and q s 



02183 = m, 

 02187 = m(l + -002), 

 02194 = m(l + -005), 

 02173 = m(l--005), 



„ g 4 -02204 = m(l + -01). 



A table calculated to give multiples of the quantity '02183 will 

 evidently suffice for the other coefficients, with the small corrections 

 shown above. 



To provide for cases (which are likely to be frequent) in which 

 the series of terms is not truly recurrent, corrections similar to those 

 required for the 24-term series must be applied. As before, repre- 

 senting by T and T_ T respectively the mean values for the first day 

 of the period under computation, and the last day of the preceding 

 year, and by t and respectively the mean values for the first day 

 of the following year and the last day of the year under computation ; 

 the quantity that must be added to the first term of the series of 

 72 terms, corresponding to the initial midnight of the year, to make 

 it equal to the first term of the next yearly series, will be 2c = 

 2(^0 + ^-1) ~~ 2(^0 + T-x), and it will be found that the corrections for 

 the several j? q coefficients will be as follows : — 



For p 1 



P2 ■ 



f c x m = -029c, 



cxm(l + -002), 



„ p 3 cxm(l + '005), 



„ £> 4 cxm(l — -005). 



For q l 



31JcXm 



= -684c, 



17 cxm(l + -002) = -372c, 



„ 2s 11 c xm(l + -005) = -241c, 



„ ? 4 8 cxm(l + -01) = -176c. 



For^9 , or the mean of the whole series, . . . . = j\c. 



A similar method of computation might be adopted in the case of 



