We prove effective versions of Oppenheim's conjecture for generic inhomogeneous forms in the S-arithmetic setting. an result fixed rational shifts and we also a where both quadratic form shift are allowed to vary. In order do so, analogues Rogers' moment formulae congruence quotients as well space affine lattices. believe latter results be independent interest.

Islamic architecture has been a great influence on different parts of the world, even so there are some similar factors, but the aspect of culture will make the polarization between them. Upon the vast spread that Muslims had in the 7th century (A.D.) Islamic culture and belief moved in different continents from the Fareast parts of Asia to the west of the Mediterranean. At the beginning Islam ...

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In [12], Stark formulated his far-reaching refined conjecture on the first derivative of abelian (imprimitive) L–functions of order of vanishing r = 1 at s = 0. In [10], Rubin extended Stark’s refined conjecture to describe the r-th derivative of abelian (imprimitive) L-functions of order of vanishing r at s = 0, for arbitrary values r. However, in both Stark’s and Rubin’s setups, the order of ...

The Polish logician Roman Suszko has extensively pleaded in the 1970s for a restatement of the notion of many-valuedness. According to him, as he would often repeat, “there are but two logical values, true and false.” As a matter of fact, a result by Wójcicki-Lindenbaum shows that any tarskian logic has a many-valued semantics, and results by Suszko-da Costa-Scott show that any many-valued sema...

Previous research in computer science shows that software developers are typically deluged by an enormous volume of information daily. Improving the effectiveness of developers to filter this information may yield significant productivity improvements. To combat this overload, we introduce an indicator, called degree-of-knowledge (DOK), which is a real value indicating how much knowledge a deve...

Eiszler, C.F. (2002). College students' evaluations of teaching and grade inflation. Research in Higher Education, 43(4), 483-501. This study examined the relationship between grades and students’ composite ratings of teaching effectiveness over a 20-year period at a comprehensive, public university in the upper Midwest. Between the spring of 1980 and the fall of 1999, students in more than 37,...

The body of information in this paper is directed to specialists in industrial health and safety, and air and water pollution, who need quantitative data on the odor thresholds of potentially hazardous chemical vapors and gases. The literature, largely unorganized, has been reviewed for 214 compounds and condensed into tables based on consistent units. Data on the volatility, solubility, ioniza...