We give a concise definition of mitered offset surfaces for nonconvex polytopes in R, along with a proof of existence and a discussion of basic properties. These results imply the existence of 3D straight skeletons for general nonconvex polytopes. The geometric, topological, and algorithmic features of such skeletons are investigated, including a classification of their constructing events in t...

In this paper we study, via variational methods, the problem of scattering of time harmonic acoustic waves by an unbounded sound soft surface. The boundary ∂D is assumed to lie within a finite distance of a flat plane and the incident wave is that arising from an inhomogeneous term in the Helmholtz equation whose support lies within some finite distance of the boundary ∂D. Via analysis of an eq...

We consider the stationary flow of a heat conducting Power Law shear thinning fluid in a bounded domain in R2. We present an elementary proof of existence of at least one weak solution.

Despite overwhelming scientific evidence for man-made climate change, many people and more importantly policymakers still remain skeptical about the subject. While this phenomenon of ”climate-skepticism” prevents implementation of environmental policies around the globe, it is ignored in economic models of climate change. In this paper we fill this gap by creating a model that allows for climat...

This paper explores and articulates an alternative to the two main approaches that have come to predominate in contemporary philosophical discussions of skepticism. These we may call the ̳Foil Approach‘ and the ̳Bypass Approach‘ respectively. On the Foil Approach, skepticism is treated as a problem to be solved, or challenge to be met, or threat to be parried; skepticism‘s value, insofar as it ...

Many topics that scientists investigate speak to people's ideological worldviews. We report three studies-including an analysis of large-scale survey data-in which we systematically investigate the ideological antecedents of general faith in science and willingness to support science, as well as of science skepticism of climate change, vaccination, and genetic modification (GM). The main predic...

In this paper, the cycles of Tanner’s (3, 5) quasi-cyclic (QC) low-density parity-check (LDPC) codes are analyzed and their girth values are derived. The conditions for the existence of cycles of lengths 4, 6, 8, and 10 in Tanner’s (3, 5) QC LDPC codes of length 5p are expressed in terms of polynomial equations in a 15-th root of unity of the prime field Fp. By checking the existence of solutio...

The arguments of Fodor, Garret, Walker and Parkes [(1980) Against de® nitions, Cognition, 8, 263± 367] are the source of widespread skepticism in cognitive science about lexical semantic structure. Whereas the thesis that lexical items, and the concepts they express, have decompositional structure (i.e. have signi® cant constituents) was at one time a one of those ideas that hardly anybody [in ...

according to abū al-barakāt baghdādī, time and place are a priori conditions of motion; moreover, against the peripatetic philosophers, for whom time is the measure of motion, he holds that time is the measure of existence. nevertheless, he believes that we can define motion on the basis of our intuitive non-scientific concept of time and, by so doing, we can resolve the apparent circularity of...