This paper establishes a framework under which various aspects of prosodic morphology, such as templatic morphology and infixation, can be handled under two-level theory using an implemented multi-tape two-level model. The paper provides a new computational analysis of root-and-pattern morphology based on prosody.

Mathematical morphology originated in 1960s. It uses a structuring element to measure and extract corresponding objects in images. The purpose is to analyze and identify these images. Mathematical morphology can be widely applied in geoscience because not only the research object but also the data format in geoscience research is so consistent with mathematical morphology. This article sets out...

This paper provides a concise summary of the framework of operational-probabilistic theories, aimed at emphasizing the interaction between category-theoretic and probabilistic structures. Within this framework, we review an operational version of the GNS construction, expressed by the so-called purification principle [12], which under mild hypotheses leads to an operational version of Stinespri...

[1] Mechanistic theories of fluvial erosion are essential for quantifying large-scale orogenic denudation. We examine the topographic implications of two leading classes of river erosion model, detachment-limited and transport-limited, in order to identify diagnostic and testable differences between them. Several formulations predict distinctly different longitudinal profile shapes, which are s...

Sign-Based Morphology and Phonology with special attention to Optimality Theory In this dissertation, I develop Sign-Based Morphology, a novel, comprehensive, declarative theory of the phonology-morphology interface. Theories of morphology are traditionally assigned one of the following classifications: Item-and-Arrangement, Item-and-Process, and Word-and-Paradigm. Sign-Based Morphology shares ...

Let X be a phase in a specimen. Given two arbitrary points x and y of X, let us define the number dx(x, y) as follows: dx(x, y) is the greatest lower bound of the lengths of the arcs in X ending at points x and y, if such arcs exist, and + CIJ if not. The function dX is a distance function, called 'geodesic distance'. Note that if x and y belong to two disjoint connected components of X, dx(x, ...

In this study, thin layers of titanium nitride (TiN) were deposited on H13 steel substrates at different duty cycles and temperature of 520 ˚C using plasma assisted chemical vapor deposition (PACVD). Uniaxial residual stress was calculated by X-ray diffraction (XRD) and Sin2 Ψ method. Then the residual stress of the samples were measured by Grazing Incidence X-ray Diffraction (GIXRD) method and...

A computationally ecient algorithm for computing erosions and dilations by onedimensional grayscale structuring elements with constant slope is proposed. The computational complexity of this algorithm is independent of the size of the support of the structuring function. This is a generalization of the method proposed by Van Herk for the case of erosion and dilation by ̄at one-dimensional struc...

This paper reports work in progress on a sentence generation model which attempts to emulate certain language output patterns of children between the ages of one and one-half and three years. In particular, the model addresses the issue of why missing or phonetically "null" subjects appear as often as they do in the speech of young Englishspeaking children. It will also be used to examine why o...