Elementary Treatise on Elliptic Functions

Elementary Elliptic (r, Q)-polycycles

We consider the following generalization of the decomposition theorem for polycycles. A (R, q)-polycycle is, roughly, a plane graph, whose faces, besides some disjoint holes, are i-gons, i ∈ R, and whose vertices, outside of holes, are q-valent. Such polycycle is called elliptic, parabolic or hyperbolic if 1 q + 1 r − 1 2 (where r = maxi∈Ri) is positive, zero or negative, respectively. An edge ...

Trigonometric functions, elliptic functions, elliptic modular forms

On the Balanced Elementary Symmetric Boolean Functions

or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. SUMMARY In this paper, we give some results towards the conject...

THE THEORY OF FUNCTIONS. A Treatise on the Theory of Functions» Bjr

I N the vast realm of Mathematical Science, as it stands before us to-day, there exists, owing to the genius, activity, and assiduity of mathematicians, such a great variety of widely extended subdivisions that it seems to be an impossibility for one man to keep pace with the rapid development of all of them. The consequence has been that mathematicians try to confine themselves to some special...

A Treatise on Plague

son, m it.c.s.i. London : Swan Sonnenschein & Co., Ld., 1901. Price 7s. Gd. It is somewhat remarkable that, though five years have now passed since the present pandemic of plague first made its appearance at Bombay, no book on the subject lias hitherto appeared based upon Indian experience. Reports written by medical officers, civilians, and even military officers we have had in abundance, but ...