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In this paper, I shall investigate whether Hegel can be considered as a sort of ancestor of McDowell's disjunctivism. If this hypothesis turns out to be plausible, then the paper offers two gains. On the one hand, it offers an innovative interpretation of the way in which Hegel conceives of our sensible epistemic access to the world. On the other hand, McDowell's own claim that his own theoretical proposal has a Hegelian sound is supported by a previously unexplored argument. I organize my analysis into three parts: I sketch McDowell's version of disjunctivism (Section 2); I analyze some passages from Hegel that I believe are important for showing some similarities between his and McDowell's argumentative strategy (Section 3); in the conclusion (Section 4), I highlight a number of core features that Hegel seems to share with McDowell's disjunctivism and I submit that they are sufficient to label Hegel the "grandfather" of McDowell's disjunctivism. [ABSTRACT FROM AUTHOR]

Abstract: This paper describes hybrid mathematical model which couples the mechanics of the mass/spring model to the acoustic wave propagation model for use in generating the acoustic signal emitted by complex structures of paper fibres under strain. A discussion of the coupling method is presented including remarks on the errors encountered intrinsic to the discretisation scheme. The numerical results of a vibrating rubber band and a vibrating paper fibre are compared to their experimental counterparts. The fundamental frequencies of the acoustic signals are compared showing a close agreement between the experimental and numerical results. [Copyright &y& Elsevier]

Abstract: In this paper, we present some sixth-order class of modified Ostrowski’s methods for solving nonlinear equations. Per iteration each class member requires three function and one first derivative evaluations, and is shown to be at least sixth-order convergent. Several numerical examples are given to illustrate the performance of some of the presented methods. [Copyright &y& Elsevier]

In the present paper, the full range Strichartz estimates for homogeneous Schrödinger equations with non-degenerate and non-smooth coefficients are proved. For inhomogeneous equation, the non-endpoint Strichartz estimates are also obtained. [ABSTRACT FROM AUTHOR]

Abstract: This paper considers systems that have a measurement that is computed from the post-processing of a short duration image. The measurement can be regarded as the integral of a linear function of the state variables of the system. The input to the system is assumed to be generated with a zero-order hold whose sampling frequency is the same as that of the measurement. The paper presents a discrete-time finite dimensional state variable model for such systems. [Copyright &y& Elsevier]

We attempt to identify the 25 most-cited statistical papers, providing some brief commentary on each paper on our list. This list consists, to a great extent, of papers that are on non-parametric methods, have applications in the life sciences, or deal with the multiple comparisons problem. We also list the most-cited papers published in 1993 or later. In contrast to the overall most-cited papers, these are predominately papers on Bayesian methods and wavelets. We briefly discuss some of the issues involved in the use of citation counts. [ABSTRACT FROM AUTHOR]

A graph is called a weighted graph when each edge e is assigned a nonnegative number w( e), called the weight of e. For a vertex v of a weighted graph, d w( v) is the sum of the weights of the edges incident with v. For a subgraph H of a weighted graph G, the weight of H is the sum of the weights of the edges belonging to H. In this paper, we give a new sufficient condition for a weighted graph to have a heavy cycle. A 2-connected weighted graph G contains either a Hamilton cycle or a cycle of weight at least c, if G satisfies the following conditions: In every induced claw or induced modified claw F of G, (1) max{ d w( x), d w( y)}≥ c/2 for each non-adjacent pair of vertices x and y in F, and (2) all edges of F have the same weight. [ABSTRACT FROM AUTHOR]

A quandle is a set with a self-distributive binary operation satisfying a certain condition. Here we construct a monoid (a semi-group with the identity) associated with a quandle. This monoid has a structure of a quandle, which contains the original quandle as a sub-quandle. We call it the enveloping monoidal quandle. The purpose of this paper is to introduce the notion of the enveloping monoidal quandle, and to investigate it. [Copyright &y& Elsevier]

In this paper we deal with movement-independent individual muscle properties derived from Hill''s equation. Relations between these properties are found by theoretical considerations. We define a dimensionless quantity that turns out to play a major role in characterizing individual muscle properties, and we analyse normalization and symmetry behaviour of the parameters in Hill''s equation. This leads to a systematic, transparent, and useful overview of mathematical relations involving muscle parameters. We examine the experimentally determined parameters of 62 subjects to find additional empirical relations between the muscle properties described by the parameters of Hill''s equation. In the light of the theoretical end empirical results we investigate the connections between maximum efficiency, endurance, and fibre composition. [Copyright &y& Elsevier]

Abstract: The concept of labelled stratified graph (LSG) was introduced in Ţăndăreanu (Knowledge Inform. Syst. 2(4) (2000) 438) in connection with that of knowledge base with output (KBO). The aim of this paper is to present a distinct facet of this concept. We prove several algebraic properties for LSGs and we conclude that a LSG can be used independently of a KBO. In order to realize this aim we define a partial order on the set of all LSGs over a labelled graph G, an equivalence relation on and a partial order on the factor set. The set endowed with becomes a join semilattice with greatest element. Each equivalence class contains an unique LSG, which is named distinguished representative of C. This is the least element of. Particularly we obtain the distinguished representative for the supremum of two classes (DRS) and the greatest distinguished LSG (the least LSG of the greatest element of, denoted GD). Two applications are presented, one for DRS and one for GD. Several opens problems are briefly exposed in the last section. [Copyright &y& Elsevier]

The article explores student activities that feature various problems associated with three-sided polygons. It notes that the mathematics by the month activity for January explores the counting of triangular figures which are grouped by grade bands and featured a monthly theme. It highlights the construction of triangles using various materials, including paper, drinking straws, and toothpicks. The students are told to create their own triangle problems and have them look for a partner to solve them. It notes that geodesic

This paper discusses different approaches to constructing approximate mathematical models. [ABSTRACT FROM AUTHOR]

This article describes how mathematics instruction is addressed in an early childhood classroom and how it reflects state and national mathematics standards. In drafting their own standards, many states are also recognizing the need for early childhood standards. With increased attention being focused on the youngest children in our schools, changes in mathematics instruction that have occurred over the past decade are most evident in early childhood education. Mathematics is hidden in many ways in the prekindergarten classroom in which author teach. The center houses materials for cutting, gluing, letter writing, stencil work, and so on, including several kinds and shapes of paper--construction paper, perforated computer paper, envelopes, and rolls of adding-machine tape

Focuses on the falsity of the factoid that states that no piece of paper can be folded in half more than seven times. Basis of the paper's size and weight; Disapproval of the factoid based on mathematics.