Yazhe Chen has written: 'Second order elliptic equations and elliptic systems' -- subject(s): Differential equations, Elliptic, Elliptic Differential equations
While I have never taken on such a complex project myself, you can find a Java implementation of ECC on http://www.bouncycastle.org/java.html
In the context of Algebraic Geometry and Cryptography, the embedding degree is a value associated with an algebraic curve, more precisely with a cyclic subgroup of the abelian group associated with the curve.Given an elliptic curve (or an hyperelliptic curve), we can consider its associated abelian group - in the case of an elliptic curve corresponds to the set of points - and a cyclic subgroup G, typically its largest.Using pairings (more notably, the Tate pairing or Weil pairing), we can map G to a subgroup of a finite field.More precisely, if the curve was defined over a finite field of size q, G is mapped to a subgroup of a finite field of size qk for some integer k. The smallest such integer k is called the embedding degree.Moreover, if G has size n it satisfies n | qk - 1 (n divides qk - 1).In Cryptography, the embedding degree most notably appears in security constraints for Elliptic Curve Cryptography and in the more recent area of Pairing Based Cryptography. Pairings allow us to "map" problems over elliptic curves to problems over finite fields and vice-versa with the security and efficiency issues of each side.For example, given the known attacks for the Discrete Logarithm Problem over elliptic curves and over finite fields, in Elliptic Curve Cryptography curves with a very small embedding degree (lower than 6, say) are usually avoided. On the other hand, because in Pairing Based Cryptography operations are often done on both groups, curves with too high embedding degrees are avoided.
Riemann created elliptic geometry in 1854.
http://www.nationmaster.com/encyclopedia/Jacobi's-elliptic-functions have a look at this
Of or pertaining to mode, modulation, module, or modius; as, modular arrangement; modular accent; modular measure.
Difference between modular and non-modular bricks
J. N Vekua has written: 'New methods for solving elliptic equations' -- subject(s): Differential equations, Elliptic, Elliptic Differential equations
Stephen Rempel has written: 'Index theory of elliptic boundary problems' -- subject(s): Boundary value problems, Differential equations, Elliptic, Elliptic Differential equations
additional ports can be added in modular routers.
P. Grisvard has written: 'Elliptic problems in nonsmooth domains' -- subject(s): Boundary value problems, Differential equations, Elliptic, Elliptic Differential equations, History, Numerical solutions
I. V. Skrypnik has written: 'Methods for analysis of nonlinear elliptic boundary value problems' -- subject(s): Differential equations, Elliptic, Elliptic Differential equations, Nonlinear boundary value problems
Operation Modular happened in 1987.
James Ivory has written: 'On the theory of the elliptic transcendents' -- subject(s): Elliptic functions, Transcendental numbers
Eric Harold Neville has written: 'Jacobian elliptic functions' -- subject(s): Elliptic functions
A. N. Varchenko has written: 'Multidimensional hypergeometric functions and representation theory of lie algebras and quantum groups' -- subject(s): Hypergeometric functions, Kac-Moody algebras 'Why the boundary of a round drop becomes a curve of order four' -- subject(s): Boundary value problems, Curves, Elliptic, Elliptic Curves, Fluid dynamics, Mathematical models
A modular laboratory is like a modular home or a mobile home...It is a pre built laboratory which can also be portable if required.
Yes I have lived in a modular home
The Modular Man has 306 pages.
E. M. Landis has written: 'Second order equations of elliptic and parabolic type' -- subject- s -: Differential equations, Elliptic, Differential equations, Parabolic, Elliptic Differential equations, Parabolic Differential equations