552 
ME. B. GOMPEETZ ON THE SCIENCE 
Ai’t. 27. In a paper I had the honour of presenting to the International Statistical 
Congress, in consequence of the flattering invitation I had received to offer my assistance 
towards the scientific objects in view, I presented a sketch of some investigations I had 
been making since the publication of my paper of 1820 and that of 1825, relative to the 
subject of mortality, and on some investigations I had since made on the law of sickness 
and imulidity subjects, which I was prevented, in consequence of the absence of suffi- 
cient health, to finish for presentation to the Eoyal Society, as a supplement to those 
two papers which were honoured by a place in the Society’s Transactions. But in my 
paper I presented to the Congress, I did not show how I obtained the formulae of the 
one uniform law of mortality I presented, from birth to extreme old age, reserving that 
communication for the honour I intended myself to present it to this Society, should 
my health sufficiently recover to render it possible to me, though I presented the 
formula which follows, xL^=constant in which represents the 
common logarithm of the number of persons living at the age x, , A:, 
n, 6, w, w, u constant quantities from birth to the extremity of old age, to be 
found from statistical tables given of the actual persons living at every age in places to 
which the formula is meant to apply ; and these constants I found for Carlisle mortality, 
Northampton mortality, De Parcieux mortality, and Sweden, male and female mixed 
mortality, from the examination of published statistical tables; and I computed for 
these four stated rates of mortality from this formula by means of these constants the 
number of living at every age, and arranged the results opposite the statements, which 
show a remarkably satisfactory agreement between the formula and the statement which 
it is intended to represent throughout, from commencement to every year of age. And 
in the Carlisle Table, where there are data for comparison, for the first months after 
birth, where there appears great irregularity in the deaths, even the close approximate 
agreement seems very interesting ; and the value of the constants there given are in the 
formula resulting when 0 is taken =1, which, though it may not be its exact value, is 
very nearly so. 
u. 
Xk. 
\e. 
\n. 
Xtt. 
\w. 
Constant. 
Carlisle 
90-37 
1-2310 
T-76774 
1-59375 
4-34652 
2-75526 
0126 
T-98952 
1-50837 
3-8631 
Northampton ... 
90-131 
1-43172 
T-72758 
No data. 
No data. 
1-11526 
011213 
T-9954 
T-15125 
3-92650 
Sweden 
96-137 
1-23562 
T-7918 
No data. 
No data. 
2-87042 
01296 
T-99608 
T-03727 
3-87142 
De Parcieux ... 
86-21 
2-99 
T-8415 
No data. 
No data. 
T-3323 
006005 
1-99293 
1-2250 
3-19130 
I gave the results for the Carlisle mortality to the Congress, which were extremely 
satisfactory, but I did not give the results for the Northampton mortality and for the 
Sweden, and De Parcieux’s mortality, which (though with the exception that for the few 
first months of age these statistical tables give no data) I find, I think, equally satis- 
factory ; but not having sent the results to the Congress, I presume that I am authorized, 
without infringing on the rule of this Society not to publish what has been already 
