Let M and k be positive integers and φ a Dirichlet character modulo M. For a normalized cuspidal Hecke eigenform f of weight k and Nebentypus φ with respect to Γ0(M), and a Dirichlet character χ modulo N, let L(f, s, χ) be the standard zeta function of f twisted by χ. (For the precise definition of the standard zeta function, see the paragraph immediately preceding Theorem 3.3.) The twisted sta...

The standard region 2 control scheme for a variable speed wind turbine, τc = kω, has several shortcomings that can result in significant power loss. The first of these is that there is no accurate way to determine the gain k; modeling programs are not accurate enough to represent all of the complex aerodynamics, and these aerodynamics change over time. Furthermore, it is not certain whether the...

conclusions our study showed that the prevalence of esbl-producing k. pneumoniae at king khalid hospital was significantly high. routine detection of esbl-producing microorganisms is required by each of the laboratory standard detection methods to control the spread of these infections and allow a proper therapeutic strategy. for detection, the phenotypic confirmatory disc diffusion test is sim...

Hydroxyl radical (˙OH) scavenging reaction rate constants of standard natural organic matter (NOM) isolates (k˙OH,NOM) were measured with a rapid background scavenging method, to expand the dataset of published k˙OH,NOM values. The proposed method relies on ˙OH generation with a simple UV/H₂O₂ AOP-based system. The associated decay of a ˙OH probe compound is monitored with a field-deployable sp...

The OSEK/VDX is an international standard of automobile operating systems, which are typical safety-critical systems that require extensive safety analysis and verification. Formal methods have been shown useful and effective to verify the safety of both the OSEK/VDXbased operating systems and applications. Using formal methods requires formal semantics of the OSEK/VDX standard. In this paper, ...

In this study of Oklahoma's universal pre-K program, the authors relied on a strict birthday eligibility criterion to compare "young" kindergarten children who just completed pre-K to "old" pre-K children just beginning pre-K. This regression-discontinuity design reduces the threat of selection bias. Their sample consisted of 1,567 pre-K children and 1,461 kindergarten children who had just com...

We propose two Euclidean minimum spanning tree based clustering algorithms — one a k-constrained, and the other an unconstrained algorithm. Our k-constrained clustering algorithm produces a k-partition of a set of points for any given k. The algorithm constructs a minimum spanning tree of a set of representative points and removes edges that satisfy a predefined criterion. The process is repeat...

In this paper, the notion of rank-k numerical range of rectangular complex matrix polynomials are introduced. Some algebraic and geometrical properties are investigated. Moreover, for ϵ > 0; the notion of Birkhoff-James approximate orthogonality sets for ϵ-higher rank numerical ranges of rectangular matrix polynomials is also introduced and studied. The proposed denitions yield a natural genera...