The aim of this paper is that of discussing closed graph theorems for bornological vector spaces in a self-contained way, hoping to make the subject more accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over R and C to deduce closed graph theorems for bornological vector spaces over any complete, non-trivially valued field, hence encompassing...

CONTEXT Medical College Admission Test (MCAT) scores are widely used as part of the decision-making process for selecting candidates for admission to medical school. Applicants who learned English as a second language may be at a disadvantage when taking tests in their non-native language. Preliminary research found significant differences between English language learners (ELLs), applicants wh...

BACKGROUND There are several commercially available agents to treat female pattern hair loss (FPHL), including minoxidil solution, anti-androgen agents and mineral supplements. However, these treatments are not always satisfactory. We report the results of a clinical trial of 17α-estradiol (Ell-Cranell® alpha 0.025%) solution to Korean female patients with FPHL. OBJECTIVE This study was desig...

Axiomatizations of measurement systems usually require an axiom--called an Archimedean axiom-that allows quantities to be compared. This type of axiom has a different form from the other measurement axioms, and cannot-except in the most trivial cases-be empirically verified. In this paper, representation theorems for extensive measurement structures without Archimedean axioms are given. Such st...

Although middle school teachers use a variety of ELL textbooks, many lack effective criteria to critically select materials that represent a wide range of L2 learning strategies. This study analyzed the illustrated and written content of 33 ELL textbooks to determine the range of L2 learning strategies represented. The researchers chose an intentional, convenience sample from each textbook to f...

In this paper, we research the run-time sparse matrix data transformation from Compressed Row Storage (CRS) to Coordinate (COO) storage and an ELL (ELLPACK/ITPACK) format with OpenMP parallelization for sparse matrix-vector multiplication (SpMV). We propose an auto-tuning (AT) method by using the Dmat i Rell graph, which plots the derivation/average for the number of non-zero elements per row (...

This is the second in a series of two papers on the mormyromast regions of the electrosensory lobe (ELL) of mormyrid electric fish. In this study, we examined the effects of artificial stimulation of two of the three major central inputs to ELL on different morphologically identified cell types of ELL. The three major central inputs to ELL are the eminentia granularis posterior, the juxtalobar ...

Let F be a local non-archimedean field and let G be the group of F valued points of a connected reductive algebraic group over F. In this paper we compute the Ext-groups of generalized Steinberg representations in the category of smooth G-representations with coefficients in a certain self-injective ring. AMS 2000 Mathematics subject classification: Primary 22E50. Secondary 11F70.

This paper concerns character sheaves of connected reductive algebraic groups defined over non-Archimedean local fields and their relation with characters of smooth representations. Although character sheaves were devised with characters of representations of finite groups of Lie type in mind, character sheaves are perfectly well defined for reductive algebraic groups over any algebraically clo...

It is shown that a necessary and sufficient condition for an Archimedean copula generator to generate a d-dimensional copula is that the generator is a d-monotone function. The class of d-dimensional Archimedean copulas is shown to coincide with the class of survival copulas of d-dimensional l1-norm symmetric distributions that place no point mass at the origin. The d-monotone Archimedean copul...