The odd dimensional quantum sphere S q is a homogeneous space for the quantum group SUq(l + 1). A generic equivariant spectral triple for S 2l+1 q on its L2 space was constructed by Chakraborty & Pal in [4]. We prove regularity for that spectral triple here. We also compute its dimension spectrum and show that it is simple. We give detailed construction of its smooth function algebra and some r...

G-Frames in Hilbert spaces are a redundant set of operators which yield a representation for each vector in the space. In this paper we investigate the connection between g-frames, g-orthonormal bases and g-Riesz bases. We show that a family of bounded operators is a g-Bessel sequences if and only if the Gram matrix associated to its denes a bounded operator.

In this paper general mechanisms and syntactic restrictions are explored in order to specify and merge rule bases in the Semantic Web. Rule bases are expressed by extended logic programs having two forms of negation, namely strong (or explicit) and weak (also known as default negation or “negation as failure”). The proposed mechanisms are defined by very simple modular program transformations, ...

Single optical fibres exhibiting minimum dispersion over the two optical wavelength windows of 1300 and 1550 nm region are essential for the multi-channel operation of dense wavelength multiplexed systems and networks. Design guidelines of dispersion-flattened optical fibres, over a wide band of optical spectrum, which have a triple-clad or segmented-core distribution of stepindex regions are d...

In this paper general mechanisms and syntactic restrictions are explored in order to specify and merge rule bases in the Semantic Web. Rule bases are expressed by extended logic programs having two forms of negation, namely strong (or explicit) and weak (also known as default negation or negation-as-failure). The proposed mechanisms are defined by very simple modular program transformations, an...

Spaces of homogeneous spherical monogenics in dimension 3 can be considered naturally as sl(2,C)-modules. As finite-dimensional irreducible sl(2,C)-modules, they have canonical bases which are, by construction, orthogonal. In this note, we show that these orthogonal bases form the Appell system and coincide with those constructed recently by S. Bock and K. Gürlebeck in [3]. Moreover, we obtain ...

the establishment of foreign military bases is a key matter to understand the distribution of power in spheres of influence throughout the world. oversea bases are the first mechanism of a mass network, which works to maintain the control exercised by great powers, becoming the infrastructure for wars. normally,  government allows the allies and governments that have similar ideas about common ...