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On the final law of the sums of drawings

Published online by Cambridge University Press:  18 August 2016

Extract

Let there be letters x, y, z,…each of which has values, choices, or drawings. Let their number be σ, and let, ξ, η, ζ,…be their several numbers of drawings : x1, x2,…xξ the drawings of x; and so on. Let Σx, Σy,…be the sums of the drawings of x, y, &c.; and Σ:x, Σ:y, the average drawings: so that , and so on.

Type
Research Article
Copyright
Copyright © Institute and Faculty of Actuaries 1869

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References

page 176 note * Thus Σx2 is not Σx. Σx, if ξ drawings of x2 be found from ξ drawings of x. But Σxx is Σx.Σx, if ξ drawings of xx be nude by combining ξ drawings of the first x with ξ drawings of the second.

page 177 note * I use this word, which I find more and more convenient, to denote equality within an infinitely small part of the whole Thus the circle is a subequal of the inscribed regular polygon with an infinite number of sides No' surely the polygon is subequal of the circle? Not so the Latin preposition sub, thus used, does for both sides, Subcruda is used to mean short of raw on the cookery side, very little cooked; there is no under-raw meat: coquito paulisper uth subcruda fut. Thus the area of a curve and the sum of the inscribed rectangles ydx are subequal each of the other.

page 179 note * The student who has had some glimpse of the problems in probability will wonder what I am at: I tell him I am keeping the theory of probability out of the way. Or rather;—Whe n a banister attempts to address the court without gown and wig, the judge says, Mr., I can't see you! Suppose the theory of probability out of costume, and not privileged to be seen or heard. Perhaps I may make the application in another paper.