parallelogram of periods
1Fundamental pair of periods — In mathematics, a fundamental pair of periods is an ordered pair of complex numbers that define a lattice in the complex plane. This type of lattice is the underlying object with which elliptic functions and modular forms are defined. Although… …
2Elliptic function — In complex analysis, an elliptic function is a function defined on the complex plane that is periodic in two directions (a doubly periodic function) and at the same time is meromorphic. Historically, elliptic functions were discovered as inverse… …
3Doubly periodic function — In mathematics, a doubly periodic function is a function defined at all points on the complex plane and having two periods , which are complex numbers u and v that are linearly independent as vectors over the field of real numbers. That u and v… …
4Doubly-periodic function — In mathematics, a doubly periodic function is a function f defined at all points z in a plane and having two periods , which are linearly independent vectors u and v such that:f(z) = f(z + u) = f(z + v).,The doubly periodic function is thus a two …
5India — /in dee euh/, n. 1. Hindi, Bharat. a republic in S Asia: a union comprising 25 states and 7 union territories; formerly a British colony; gained independence Aug. 15, 1947; became a republic within the Commonwealth of Nations Jan. 26, 1950.… …
6mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …
7Weierstrass's elliptic functions — In mathematics, Weierstrass s elliptic functions are elliptic functions that take a particularly simple form; they are named for Karl Weierstrass. This class of functions are also referred to as p functions and generally written using the symbol… …
8river — river1 riverless, adj. riverlike, adj. /riv euhr/, n. 1. a natural stream of water of fairly large size flowing in a definite course or channel or series of diverging and converging channels. 2. a similar stream of something other than water: a… …
9Kalibangan — Kalibangān ( hi. काली बंगा) is a town located at coord|29.47|N|74.13|E| on the left or southern banks of the Ghaggar (Ghaggar Hakra River), identified by some scholars with Saraswati River [Encyclopedia Britannica reports : Kalibangan stands on… …
10technology, history of — Introduction the development over time of systematic techniques for making and doing things. The term technology, a combination of the Greek technē, “art, craft,” with logos, “word, speech,” meant in Greece a discourse on the arts, both… …
