The Γ-limit of the Ohta-Kawasaki density functional theory of diblock copolymers is a nonlocal free boundary problem. For some values of block composition and the nonlocal interaction, an equilibrium pattern of many spheres exists in a three dimensional domain. A sub-range of the parameters is found where the multiple sphere pattern is stable. This stable pattern models the spherical phase in t...

We will present Functional Morphology [5], abbreviated FM, which is a tool that implements a methodology for constructing natural language morphologies in the functional language Haskell [8]. FM has its own runtime system that supports morphological analysis and synthesis. Moreover, a morphology implemented in FM can be compiled to many other source formats. FM adopts a word-and-paradigm view o...

Functional Arabic Morphology is a formulation of the Arabic inflectional system seeking the working interface between morphology and syntax. ElixirFM is its high-level implementation that reuses and extends the Functional Morphology library for Haskell. Inflection and derivation are modeled in terms of paradigms, grammatical categories, lexemes and word classes. The computation of analysis or g...

past the age of childbearing. Apparently, it is also a practice among some doctors to propose removal of a normal breast in women who must have the other removed because of cancer. Again, there is little evidence to support or refute the value of this operation. Even well-patient care is opened to scrutiny. The widespread use of screening tests such as the Pap smear, X-rays, tonometry, and brea...

MARS. M. M. Pedrosa 1 , J. R. Nogueira 2 e E. A. Silva 3 , 1 Programa de Pós-graduação em Ciências Cartográficas, Universidade Estadual Paulista – FCT/UNESP, Presidente Prudente, SP, Brasil, ([email protected]), 2 Depto de Matemática, Universidade Estadual Paulista – FCT/UNESP, Presidente Prudente, SP, Brasil ([email protected]), Depto de Cartografia, Universidade Estadual Paulista – FCT/U...

Minkowski valuations provide a systematic framework for quantifying different aspects of morphology. In this paper we apply vector- and tensor-valued Minkowski valuations to neuronal cells from the cat's retina in order to describe their morphological structure in a comprehensive way. We introduce the framework of Minkowski valuations, discuss their implementation for neuronal cells and show ho...