Abstract: Cubic pencils of lines are classified up to projectivities. Explicit formulae for the addition of lines on the set of nonsingular lines of the pencils are given. These formulae can be used for constructing planar generalized principal lattices, which are sets of points giving rise to simple Lagrange formulae in bivariate interpolation. Special attention is paid to the irreducible nons...

We characterize mildly mixing group actions of a noncompact locally compact second countable group G using orbit equivalence We show an amenable action of G is mildly mixing if and only if G is amenable and for any nonsingular ergodic G action the product G action is orbit equivalent to We extend the result to the case of nite measure preserving noninvertible endomorphisms i e when G N and show...

We present a class of theories of two dimensional gravity which admits homogeneous and isotropic solutions that are nonsingular and asymptotically approach a FRW matter dominated universe at late times. These models are generalizations of two dimensional dilaton gravity and both vacuum solutions and those including conformally coupled matter are investigated. In each case our construction leads...

This paper considers Closest Moment (CM) estimation with a general distance function, and avoids the assumption of nonsingular quadratic local behavior. The results of Manski (1983), Newey (1988), Pötscher and Prucha (1997), and de Jong and Han (2002) are obtained as special cases. Consistency and a root-n rate of convergence are obtained under mild conditions on the distance function and on th...

Codes Description of C Nonsingular C injective – i.e. ∀x, x′ ∈ X , x 6= x′ =⇒ C(x) = C(x′) Uniquely Decodable The extension the code is nonsingular. Prefix/Instantaneous/Self-punctuating No code word prefixes another: for all distinct x′, x′′ ∈ X , C(x′) does not start with C(x′′) We illustrate this below with the following example for the symbols {a, b, c, d} taken from Chapter 5 in Cover and ...

In this paper, we investigate the existence of a positive solution of fully fuzzy linear equation systems where fuzzy coefficient matrix is a positive matrix. This paper mainly discusses a new decomposition of a nonsingular fuzzy matrix, a symmetric matrix times to a triangular (ST) decomposition. By this decomposition, every nonsingular fuzzy matrix can be represented as a product of a fuzzy s...

The real, nonsingular elliptic solutions of the Korteweg-deVries equation are studied through the time dynamics of their poles in the complex plane. The dynamics of these poles is governed by a dynamical system with a constraint. This constraint is shown to be solvable for any finite number of poles located in the fundamental domain of the elliptic function, often in many different ways. Specia...