How can a complex curve be placed in a complex surface? The question is vague; many different ways to make it more specific may be imagined. The theory of deformations of complex structure, and their associated moduli spaces, is one way. Differential geometry and function theory, curvatures and currents, could be brought in. Even the generalized Nevanlinna theory of value distribution, for anal...

We derive explicit dimension formulas for irreducible MF-spherical KF-representations where KF is the maximal compact subgroup of the general linear group GLd(F) over a local field F and MF is a closed subgroup of KF such that KF/MF realizes the Grassmannian of n-dimensional F-subspaces of F. We explore the fact that (KF,MF) is a Gelfand pair whose associated zonal spherical functions identify ...

In terms of the criteria used, and also comprehensively, a classification of education, considered already classical in the light of its fundamental dimensions, is slightly ambiguous, even if it easy to state; education issues today demonstrate that the structural make-up of education as formal, nonformal and informal presents many aspects of interference, overlapping and transfer, inevitably l...

Tubulo-villous tumours of the duodenum are rare tumours which account for less than 1% of duodenal neoplasms, 88% of which are located in the second part of duodenum. The remaining 12% are equally distributed in first and third part of the duodenum [1, 2] . A high rate of malignant transformation complicates management with surgical treatment options ranging from wide local excision to radical ...

Fuzzy differential equations are used in modeling problems in science and engineering. For instance, it is known that the knowledge of dynamical systems modeled by ordinary differential equations is often incomplete or vague. While, fuzzy differential equations represent a proper way to model dynamical systems under uncertainty and vagueness. In this paper, two methods for solving first order l...

There have been proposals that primordial black hole remnants (BHRs) are the dark matter, but the idea is somewhat vague. We argue here first that the generalized uncertainty principle (GUP) may prevent black holes from evaporating completely, in a similar way that the standard uncertainty principle prevents the hydrogen atom from collapsing. Secondly we note that the hybrid inflation model pro...

Skin is well recognized as an important somatic mirror of one's emotion and a site for the discharge of one's anxieties. We present a case of a 42-year-old female patient presenting with a vague history of generalized body pain and skin lesions in the form of cotton threads buried under the skin, crusted plaque, multiple keloids and rusted pin buried through the skin mostly in the easily access...

Is ‘vague’ vague? Aldrich (1937: 94) didn’t think so. Austin (1962: 126) did, and Sorensen (1985) offered a proof. Deas (1989) rejected the proof, but in (2003) I sided with Sorensen. Now Hull (2005) replies on behalf of Deas. Why so much fuss about a single word? One reason, I think, is that a lot depends on how we settle the question. For example, Frege (1903: §56) famously remarked that logi...

In this paper the notion of smooth complete semidynamical systems is studied. A relation between the rank of the derivatives of a motion at a point and at the identity of that point is deduced. A method for constructing top generalized subgroups is considered. Connected component of an identity as a top generalized normal subgroup is studied. A criterion for the connectedness of an inverse imag...

A group $G$ has a finite special rank $r$ if every finitely generated subgroup of is by at most elements and there which exactly generators. If not such $r$, then we say that infinite rank. In this paper, study generalized radical non-abelian groups whose subgroups are transitively normal.