the main goal of this paper is to introduce and study a new class of function via the notions of $e$-$theta$-open sets and $e$-$theta$-closure operator which are defined by özkoç and aslım cite{10} called weakly $er$-open functions and $e$-$theta$-open functions. moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing to...

Abstract. In this paper we establish the relationships between theta functions of arbitrary order and their derivatives. We generalize our previous work [4] and prove that for any n > 1 the map sending an abelian variety to the set of Gauss images of its points of order 2n is an embedding into an appropriate Grassmannian (note that for n = 1 we only got generic injectivity in [4]). We further d...

This study uses the r-theta transformation technique to map a fingerprint image to the straight-line signals. Subsequently, the “vector magnitude invariant transform” technique is applied to them to generate an invariant magnitude for person identification. This technique can solve the image rotation problem. Various vertical magnitude strips are generated to deal with the imageshifting problem...

A very wide angle lens with a field of view 360°x180° - fisheye has been designed to be used in space environment. As case study, the is assumed mounted on spinning probe passing through comet’s tail. The lens, rotating comet coma, may map entire sky as viewed from interior tail, providing unprecedented data spatial distribution plasma and dust. Considering foreseen applications for radiation h...

The medial entorhinal cortex (MEC) and the adjacent parasubiculum are known for their elaborate spatial discharges (grid cells, border cells, etc.) and the precessing of spikes relative to the local field potential. We know little, however, about how spatio-temporal firing patterns map onto cell types. We find that cell type is a major determinant of spatio-temporal discharge properties. Parasu...

We consider a reductive dual pair (G,G′) in the stable range with G′ the smaller member and of Hermitian symmetric type. We study the theta lifting of (holomorphic) nilpotent K ′ C -orbits in relation to the theta lifting of unitary lowest weight representations of G′. We determine the associated cycles of all such representations. In particular, we prove that the multiplicity in the associated...

Let X be an even dimensional symmetric bilinear space defined over a totally real number field F with adeles A, and let σ = ⊗vσv be an irreducible tempered cuspidal automorphic representation of O(X,A). We give a sufficient condition for the nonvanishing of the theta lift Θn(σ) of σ to the symplectic group Sp(n,A) (2n by 2n matrices) for 2n ≥ dimX for a large class of X. As a corollary, we show...

The arbitrarily primed polymerase chain reaction was used to detect single-dose polymorphisms that, in turn, were used to generate a linkage map of a polyploid relative of cultivated sugarcane, Saccharum spontaneum 'SES 208' (2n = 64). The mapping population was composed of 88 progeny from a cross between SES 208 and a diploidized haploid derived from SES 208 by anther culture, ADP 85-0068. Thi...

Using DNA polymorphisms adjacent to single-copy genomic fragments derived from human chromosome 21, we initiated the construction of a linkage map of human chromosome 21. The probes were genomic EcoRI fragments pW228C, pW236B, pW231C and a portion of the superoxide dismutase gene (SOD-1). DNA polymorphisms adjacent to each of the probes were used as markers in informative families to perform cl...