In this paper we introduce a new class of sequence space namely the semi orlicz space of   analytic. It is shown that the intersection of all semi orlicz space of   of analytic is the semi orlicz space of   of analytic. Mathematics Subject Classification: 40A05, 40C05, 40D05

A function is called arc-analytic if it is real analytic on each real analytic arc. In real analytic geometry there are many examples of arc-analytic functions that are not real analytic. Arc analytic functions appear while studying the arc-symmetric sets and the blow-analytic equivalence. In this paper we show that the non-analyticity locus of an arc-analytic function is arc-symmetric. We disc...

In this paper we extend the known results of analytic connectivity to non-uniform hypergraphs. We prove a modified Cheeger’s inequality and also give a bound on analytic connectivity with respect to the degree sequence and diameter of a hypergraph.

With the volume of molecular sequence data that is systematically being generated globally, there is a need for centralized resources for data exploration and analytics. DNA Barcode initiatives are on track to generate a compendium of molecular sequence-based signatures for identifying animals and plants. To date, the range of available data exploration and analytic tools to explore these data ...

The Dirichlet space D consists of all analytic functions f defined on the unit disk with ∫ |f (z)|dA < ∞. The space of multipliersMD consists of analytic functions φ with φf ∈ D for all f ∈ D. A sequence {zn} ⊂ is called an interpolating sequence for MD if for each bounded sequence of complex numbers {wn} there exists φ ∈ MD with φ(zn) = wn for all n. Our main result is a geometric characteriza...

Analytic surgery, as defined in [9] and [6], is a one-parameter metric deformation of a Riemannian manifold M , which stretches M across a separating hypersurface H in a cylindrical fashion; the singular limit is a complete manifold with asymptotically cylindrical ends, M . In this paper, the analysis of [9] and [6] is used to study the behaviour of analytic torsion of unitary representations u...

we have studied the effect of hypothetical cosmions on the core stability of main sequence stars (of populations i and ii). cosmions, with a mass of 4-10 gev/c2 and a scattering cross section with nucleons of approximately 10-36 cm2 could prevail in transporting heat in the stellar cores. raby [17] showed the existence of a local thermal instability caused by the presence of cosmions in the sol...

purpose: suitable magnetic resonance imaging (mri) techniques from conventional to new devices can help physicians in diagnosis and follow up of multiple sclerosis (ms) patients. the aim of present research was to compare effectiveness of fluid attenuation inversion recovery (flair) sequence of conventional mri and diffuse weighted imaging (dwi) sequence as a new technique in detection of brain...