We present progress results of a new survey for bright QSOs (V < 14.5, R < 15.4, BJ < 15.2) covering the whole sky at |b| > 30. The surface density of QSOs brighter than BJ = 14.8 turns out to be 2.9±0.8·10deg. The optical Luminosity Function at 0.04 < z ≤ 0.3 shows significant departures from the standard pure luminosity evolution, providing new insights in the modelling of the QSO phenomenon.

The main aim of this paper is to establish two generalized integral formulas involving the extended Mittag-Leffler function based on the well known Lavoie and Trottier integral formula and the obtain results are express in term of extended Wright-type function. Also, we establish certain special cases of our main result.

The well-known tendency of the lawyer engaged in the drafting of conveyances is to adhere as closely as possible to the beaten paths; to follow the forms handed down from the fathers; to view with suspicion and close scrutiny any departure therefrom, and to insert new clauses and covenants only when convinced that they are demanded by the necessities engendered by tonditions and enterprises unk...

This paper’s aim is to discuss the concept of width of a proof put forward by Timothy Gowers. It explains what this concept means and attempts to show how it relates to other concepts discussed in the existing literature on proof and proving. It also explores how the concept of width of a proof might be used productively in the mathematics curriculum and how it might fit with the various perspe...

Working in the F-basis provided by the factorizing F-matrix, the scalar products of Bethe states for the supersymmetric t-J model are represented by determinants. By means of these results, we obtain determinant representations of correlation functions for the model.

In this paper we further develop the theory of matrices over the extended tropical semiring. Introducing a notion of tropical linear dependence allows for a natural definition of matrix rank in a sense that coincides with the notions of tropical regularity and invertibility.

MENDEL ROSENBLUM is Assistant Professor at Stanford University; email: [email protected]. JOHN CHAPIN is a Ph.D. student at Stanford University; email: [email protected]. DAN TEODOSIU is a Ph.D. student at Stanford University; email: [email protected]. SCOTT DEVINE is a Ph.D. student at Stanford University; email: [email protected]. TIRTHANKAR LAHIRI is a Ph.D. student at Sta...

Wireless local area network (WLAN) is a radical technology, enabling new ways to provide mobile access. A number of established and new companies have entered the mobile market with new business models. Yet, it is not clear how these new business models affect the mobile industry and which of them will really succeed. We introduced the IDEA framework to guide the design and evaluation systems o...

We revisit a formula that connects the minimal ranks of triangular parts of a matrix and its inverse and relate the result to structured rank matrices. We also address the generic minimal rank problem.