We study the multiplicity modulo 2 of real analytic hypersurfaces. We prove that, under some assumptions on the singularity, the multiplicity modulo 2 is preserved by subanalytic bi-Lipschitz homeomorphisms of R. In the first part of the paper, we find a subset of the tangent cone which determines the multiplicity mod 2 and prove that this subset of S is preserved by the antipodal map. The stud...

We propose an extension of visibly pushdown automata by means of weights (represented as positive integers) associated with transitions, called visibly pushdown automata with multiplicities. The multiplicity of a computation is the product of the multiplicities of the transitions used along this computation. The multiplicity of an input is the sum of the ones of all its successful computations....

We analyze the criterion of the multiplicity-free theorem of representations [5, 6] and explain its generalization. The criterion is given by means of geometric conditions on an equivariant holomorphic vector bundle, namely, the “visibility” of the action on a base space and the multiplicity-free property on a fiber. Then, several finite dimensional examples are presented to illustrate the gene...

The issue of multiple testing, also termed multiplicity, is ubiquitous in studies where multiple hypotheses are tested simultaneously. Genome-wide association study (GWAS), a type of genetic association study that has gained popularity in the past decade, is most susceptible to the issue of multiple testing. Different methodologies have been employed to address the issue of multiple testing in ...

A formal analysis of ambiguity processing is a necessary prerequisite for the development of a theory of underspecification and discourse interpretation for NLP systems. The analysis presented here is based on a distinction between semantic ambiguity and perceived ambiguity. A sentence is semantically ambiguous if it has a multiplicity of interpretations; a form of underspecified representation...

‎By considering a degenerate $p(x)-$Laplacian equation‎, ‎a generalized compact embedding in weighted variable‎ ‎exponent Sobolev space is presented‎. ‎Multiplicity of positive solutions are discussed by applying fibering map approach for the‎ ‎corresponding Nehari manifold‎. 

The formation of oscillons in a synchronously oscillating background is studied in the context of both damped and self-exciting oscillatory media. Using the forced complex Ginzburg-Landau equation we show that such states bifurcate from finite amplitude homogenous states near the 2:1 resonance boundary. In each case we identify a region in parameter space containing a finite multiplicity of coe...

Multiuser detection assisted, multiple transmit antenna based OFDM arrangements are studied in the context of HIPERLAN 2-like systems. It is demonstrated that the system’s user capacity can be improved with the aid of unique spatial user signatures, hence supporting a multiplicity of users. The Maximum Likelihood Sequence Estimation (MLSE) detection algorithm outperformed the Minimum Mean Squar...

The web of data is growing constantly, both in terms of size and impact. A potential data publisher needs to dispose with recapitulative information on the datasets available on the web, so that she can easily identify where to look for the resources to which her data relates. This information will help discover candidate datasets for interlinking. In that context, we investigate the problem of...