I.1 Two short problems: 1. Suppose that (X,A, μ) is a measure space, and X = ∪j=1Xj with Xj ⊂ Xj+1 for all j. Let χj be the indicator (characteristic) function of Xj, and let Mj denote the multiplication operator by χj acting on Z = Lp(X, dμ), 1 ≤ p < ∞. Show that Mj → I, the identity operator, in the strong operator topology, i.e. the weakest topology on bounded linear operators L(Z) in which ...

We describe a roundness classiication procedure , that is, a procedure to determine if the roundness of a planar object I is within some 0 from an ideal circle. The procedure consists of a probing strategy and an evaluation algorithm working in a feedback loop. This approach of combining probing with evaluation is new in computational metrology. For several deenitions of roundness, our procedur...

Using the means-end framework as a theoretical foundation, this article conceptualizes, constructs, refines, and tests a multiple-item scale (E-S-QUAL) for measuring the service quality delivered by Web sites on which customers shop online. Two stages of empirical data collection revealed that two different scales were necessary for capturing electronic service quality. The basic E-S-QUAL scale...

The purpose of this study is to explore the applicability of the E‐S‐QUAL instrument in the context of libraries’ social media services. As libraries have increased their use of social media such as Facebook and Twitter to interact with users and share information, the evaluation of the services has been emphasized to improve service strategies and meet user needs. However, there are no criteri...

Mixed methods, defined as one complete method (as the core project) plus a different simultaneous and sequential supplemental strategy, have been well explicated for combining the most difficult designs—that is, qualitative and quantitative methods. However, experts in qualitative inquiry have relatively ignored the issues that occur while describing qualitative simultaneous and sequential desi...

This paper proposes a new language for the development of distributed multimedia applications: Quality Assurance Language (QuAL). QuAL abstractions allow the specification of Quality of Service (QoS) constraints expected from the underlying computing and communication environment. QuAL specifications are compiled into run time components that monitor the actual QoS delivered. Upon QoS violation...

Cross swtions for threshold electron scattering from the proton have been measured in the missing-mass squared region M2 < W2 < 2 (GeV) 2 and the four-momentum transfer squared region 6< Q2 <30 (GeV/c)2. Scaling of the extracted values of the structure function F2 = VW2 is examined in the variables z, ~, and W2. The best scaling is found for the quantity Q6F2, which is found to be linearly prop...

The fact that certain non-linear W2,s algebras can be linearized by the inclusion of a spin-1 current can provides a simple way to realize W2,s algebras from linear W1,2,s algebras. In this paper, we first construct the explicit field realizations of linear W1,2,s algebras with double scalar fields and spinor fields respectively. Then, after a basis inverting, the realizations of W2,s algebras ...