" 1 We prefer giving them here in Swainson's version, because he seems to have set them forth more clearly and concisely than Macleay ever did, and, moreover, Swainson's application of them to ornithology - a branch of science that lay outside of Macleay's proper studies - appears to be more suitable to the present occasion.
This is expressed by saying that the sequence converges to (x+h)" as its limit; it may be stated concisely in any of the three ways, (x+h) n =lim(x"+n(1)xn-lh+....+ n(T)xn-rhr+ï¿½ï¿½.),(x+h)n =lim Sr, Sr. (x+h)n.
Illingworth has said very concisely: " The physical speculations of the Ionians and Atomists rendered a God superfluous, and the metaphysical and logical reasoning of the Eleatics declared Him to be unknowable."
The arrangement down to this point is far from strict, and beyond it is almost impossible to describe concisely, though there is still a rough grouping of characters according to resemblance of form, nature or meaning.
The course of reform may now be concisely summarized.
It may be interesting to mention, as an illustration of their heterogeneousness, that early in the 20th century a list of no less than fifty languages, spoken in Jerusalem as vernaculars, was there drawn up by a party of men whose various official positions enabled them to possess accurate information on the subject.1 It is therefore no easy task to write concisely and at the same time with sufficient fullness on the ethnology of Palestine.
And he began clearly and concisely to explain his reasons for dissatisfaction with the Russian government.
He concisely cites (p. 238) no fewer than eight other characters of more or less value as peculiar to the Carinate Division, the first of which is that the feathers have their barbs furnished with hooks, in consequence of which the barbs, including those of the wing-quills, cling closely together; while among the rest may be mentioned the position of the furcula and coracoids, 4 which keep the wing-bones apart; the limitation of the number of the lumbar vertebra to fifteen, and of the carpals to two; as well as the divergent direction of the iliac bones - the corresponding characters peculiar to the Ratite Division being the disconnected condition of the barbs of the feathers, through the absence of any hooks whereby they might cohere; the non-existence of the furcula, and the coalescence of the coracoids with the scapulae (or, as he expressed it, the extension of the scapulae to supply the place of the coracoids, which he thought were wanting); the lumbar vertebrae being twenty and the carpals three in number; and the parallelism of the iliac bones.
The universals are thus forms inherent in things - " native forms," according to the expression by which Gilbert's doctrine is concisely known.
These may be tabulated concisely as follows: I.