OCR Rendition - approximate

144 GODWIN-AI STEM.-Stone Monuments of the JV gas. represented by one, two, three, etc., representatives is some infinitely smaller but finite number. When the finite numbers are multiplied by the corresponding number of representatives, sometimes infinite in number, and the products added together, the sum will generally exceed the original number N. In point of fact, just'.,as in the cases calculated above to five generations, we had a continual, and indeed at first, a rapid extinction of surnames, combined in the one case with a stationary, and in the other case an increasing population, so is it when the number of generations is increased indefinitely. We have a continual extinction of surnames going on, combined with constancy, or increase of population, as the case may be, until at length the number of surnames remaining is absolutely insensible, as compared with the number at starting; but the total number of representatives of those remaining surnames is infinitely greater than the original number. We are not in a position to assert from actual calculation that a corresponding result is true for every form of f1(x), but the reasonable inference is that such is the case, seeing that it holds whenever f, (x) may be compared with (a + bx)Q whatever a, b, or q may be. (a + b)4 On the RUDE STONE MONUMENTS of CERTAIN NAGA TRIBES, with some REMARKS On their CUSTOMS, etc. By Major H. H. GODWIN AUSTEN, F.R.G.S., F.Z.S., etc., Deputy Superintendent Topographical Survey of India. [With Plates xi and xii.] ON visiting the Ndga Hills District last cold weather, 1872-73, 1 was very much surprised and interested to find that some of the tribes Anghami and others erect upright cenotaphs, similar to those to be seen in the Khasi Hills, and which I described when last in England in a paper read before this Institute in May 1871, and published in the Journal. The custom is here in full force, not, as is the case among the Khasis, undoubtedly fast dying out. The interest attached to this custom was not a little increased when I came on the first monoliths by my never having read of any notice of it in any work or report in which the Naga tribes are mentioned. Colonel Butler, in his book, does not allude to this very remarkable custom, and Colonel Dalton is equally silent in his much later published work," Descriptive Ethnology of Bengal." Not only are monolithic monuments common, but the Dolmen form is also to be seen in villages at the head of the Ztilo and Sijjo valleys. I first observed these stones on approaching the village of Kheruphima, set up on the roadside, often singly, in twos and threes, sometimes in sets of as many as