PURPOSE To report a case of corneal melting in a patient with fornix foreshortening being treated with reformulated generic diclofenac. METHODS Case report. RESULTS An asymptomatic 76-year old man presented with central corneal melting while being treated with reformulated generic diclofenac. This formulation did not contain the vitamin E derivative, tocophersolan, which has been felt to co...

An approach based on contourlet image fusion and reformulated fuzzy clustering for change detection in satellite images is introduced in this paper. In this approach fusion of images is used to produce difference image from log ratio and mean ratio images. An optimal difference image should retain the unchanged areas and show the changed areas. So contourlet image fusion is used to generate the...

The study of Schubert varieties in G/B has led to numerous advances in algebraic combinatorics and algebraic geometry. These varieties are indexed by elements of the corresponding Weyl group, an affine Weyl group, or one of their parabolic quotients. Often times, the goal is to determine which of the algebraic and topological properties of the Schubert variety can be described in terms of the c...

The mod 2 Steenrod algebra A and Dyer-Lashof algebra R have both striking similarities and differences, arising from their common origins in “lower-indexed” algebraic operations. These algebraic operations and their relations generate a bigraded bialgebra K, whose module actions are equivalent to, but quite different from, those of A and R. The exact relationships emerge as “sheared algebra bij...

BACKGROUND Natural selection should favour the ability of mothers to adjust the sex ratio of offspring in relation to the offspring's potential reproductive success. In polygynous species, mothers in good condition would be advantaged by giving birth to more sons. While studies on mammals in general provide support for the hypothesis, studies on humans provide particularly inconsistent results,...

In this paper, we investigate some properties of inverse limits of linear algebraic groups. For example, we show that if G = lim ←−Gi, where (Gi, πji)i,j∈I is an inverse system of algebraic groups over an algebraically closed field. Then each canonical projection πi : G → Gi maps closed subgroups of G onto closed subgroups of Gi. Furthermore, we prove directly that the inverse limit of an inver...

We establish a cartesian presentation of a product of an indexed family of process structures, giving an analogue of a similar presentation of set-theoretic product. Such a presentation is non-trivial due to a speci c nature of the process relation in process structures and forms a basis of the algebraic theory of processes to be developed elsewhere.

The stack of iterated integrals of a path is embedded in a larger algebraic structure where iterated integrals are indexed by decorated rooted trees and where an extended Chen’s multiplicative property involves the Dürr-Connes-Kreimer coproduct on rooted trees. This turns out to be the natural setting for a non-geometric theory of rough paths. MSC: 60H99; 65L99

Recently in [9] a procedure was presented that allows to reformulate nonlinear ordinary differential equations in a way that all the nonlinearities become polynomial on the cost of increasing the dimension of the system. We generalize this procedure (called ‘polynomialization’) to systems of differential-algebraic equations (DAEs). In particular, we show that if the original nonlinear DAE is re...

* An observation model, Pf , indexed by f ∈ F . Pf denotes the distribution of the data under model f . E.g. In regression and classification, this is the distribution of Z = (X1, Y1, . . . , Xn, Yn) ⊆ Z. We will assume that Pf is a probability measure on the measurable space (Z,B). * A performance metric d(., .). ≥ 0. If you have a model estimate f̂n, then the performance of that model estimate...