Some theorems in classical elastodynamic

This investigation is concerned with various fundamental aspects of the linearized dynamical theory for mechanically homogeneous and isotropic elastic solids. First, the uniqueness and reciprocal theorems of dynamic elasticity are extended to unbounded domains with the aid of a generalized energy identity and a lemma on the prolonged quiescence of the far field, which are established for this purpose. Next, the basic singular solutions of elastodynamics are studied and used to generate systematically Love's integral identity for the displacement field, as well as an associated identity for the field of stress. These results, in conjunction with suitably defined Green's functions, are applied to the construction of integral representations for the solution of the first and second boundary-initial value problem. Finally, a uniqueness theorem for dynamic concentrated-load problems is obtained.

Organization, functions, and achievements of the Inter-American Tropical Tuna Commission

ENGLISH: The Inter-American Tropical Tuna Commission (IATTC) operates under the authority and direction of a Convention originally entered into by the governments of Costa Rica and the United States. The Convention, which came into force in 1950, is open to the adherence by other governments whose nationals participate in the fisheries for tropical tunas in the eastern Pacific Ocean. The member nations of the Commission now are t in addition to Costa Rica and the United States, Canada, France, Japan, Mexico, Nicaragua, and Panama.This report is a description of the organization, functions, and achievements of the Commission. It has been prepared to provide in a convenient format answers to requests for information concerning the Commission. It replaces a similar, earlier report (Carroz, 1965), which is now largely outdated. SPANISH: La Comisión Interamericana del Atún Tropical (CIAT) funciona bajo la autoridad y dirección de un Convenio firmado originalmente por los gobiernos de Costa Rica y los Estados Unidos de America. El Convenio, que entro en vigencia en 1950, se encuentra libre para que otros gobiernos cuyos ciudadanos participen en la pesca de atunes tropicales en el Océano Pacifico oriental se afilien a el. Las naciones miembros de la Comisión, además de Costa Rica y los Estados Unidos, son Cañada, Francia, Japón, México, Nicaragua y Panamá. Este informe es una descripción de la organización, funciones y resultados de la Comisión. Ha sido preparado para suministrar en forma conveniente respuestas a preguntas sobre la Comisión. Reemplaza un informe anterior similar (Carroz 1965), que ya es anticuado en su mayor parte.

Results on proximal and generalized weak proximal contractions including the case of iteration-dependent range sets

This paper presents some further results on proximal and asymptotic proximal contractions and on a class of generalized weak proximal contractions in metric spaces. The generalizations are stated for non-self-mappings of the forms for and , or , subject to and , such that converges uniformly to T, and the distances are iteration-dependent, where , , and are non-empty subsets of X, for , where is a metric space, provided that the set-theoretic limit of the sequences of closed sets and exist as and that the countable infinite unions of the closed sets are closed. The convergence of the sequences in the domain and the image sets of the non-self-mapping, as well as the existence and uniqueness of the best proximity points, are also investigated if the metric space is complete. Two application examples are also given, being concerned, respectively, with the solutions through pseudo-inverses of both compatible and incompatible linear algebraic systems and with the parametrical

Frame presentations: variants of the reals, rings of functions, their Dedekind completions, and the unit circle

176 p.

Common Fixed Points of Generalized Rational Type Cocyclic Mappings in Multiplicative Metric Spaces

The aim of this paper is to present fixed point result of mappings satisfying a generalized rational contractive condition in the setup of multiplicative metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of pair of rational contractive types mappings involved in cocyclic representation of a nonempty subset of a multiplicative metric space are also obtained. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature.

Organization, functions, and achievements of the Inter-American Tropical Tuna Commission

ENGLISH: The Inter-American Tropical Tuna Commission (IATTC) operates under the authority and direction of a Convention originally entered into by the governments of Costa Rica and the United states. The Convention, which came into force in 1950, is open to the adherence by other governments whose nationals participate in the fisheries for tropical tunas in the eastern Pacific Ocean. The member nations of the Commission now are France. Japan, Nicaragua. Panama, and the United States. This report is a description of the organization, functions. and achievements of the Commission. It has been prepared to provide in a convenient format answers to requests for information concerning the Commission. It replaces similar, earlier reports (Carroz, 1965; Spec. Rep., 1), which are now largely outdated. SPANISH: La Comisión Interamericana del Atún Tropical (CIAT) funciona bajo la autoridad y dirección de un Convenio firmado originalmente por los gobiernos de Costa Rica y los Estados Unidos de America. El Convenio, Que entre en vigencia en 1950, se encuentra libre para Que otros gobiernos cuyos ciudadanos participan en la pesca de los atunes tropicales en el Océano Pacifico oriental se afilien a 61. Las naciones actuales que son miembros de la Comisión son: Francia, Japón, Nicaragua, Panamá y los Estados Unidos. Este informe es una descripci6n de la organización, funciones y resultados de la Comisión. Se ha preparado para suministrar en forma conveniente, informaci6n sobre la Comisión. Este informe renueva otros anteriores similares (Carroz, 1965; CIAT, Inf. Esp., 1) que en su mayor parte determinados.

Organization, functions, and achievements of the Inter-American Tropical Tuna Commission

This report is a description of the organization, functions, and achievements of the IATTC. It has been prepared to provide, in a convenient format, answers to requests for information concerning the IATTC. It replaces similar, earlier reports (Carroz, 1965; IATTC Spec. Rep., 1 and 5), which are now largely outdated. In order to make each section of the report independent of the others, some aspects of the IATTC are described in more than one section. For example, work on the early life history of tunas financed by the Overseas Fishery Cooperation Foundation of Japan is mentioned in the subsection entitled Finance, the subsection entitled Biology of tunas and billfishes, and the section entitled RELATIONS WITH OTHER ORGANIZATIONS. Due to space constraints, however, it is not possible to describe the IATTC's activities in detail in this report. Additional information is available in publications of the IATTC, listed in Appendix 6, and in its web site, www.iattc.org. Many abbreviations are used in this report. The names of the organizations or the terms are written out the first time they are used, and, for convenience, they are also listed in the Glossary.

Helmholtz Fermi surface harmonics: an efficient approach for treating anisotropic problems involving Fermi surface integrals

We present a new efficient numerical approach for representing anisotropic physical quantities and/or matrix elements defined on the Fermi surface (FS) of metallic materials. The method introduces a set of numerically calculated generalized orthonormal functions which are the solutions of the Helmholtz equation defined on the FS. Noteworthy, many properties of our proposed basis set are also shared by the FS harmonics introduced by Philip B Allen (1976 Phys. Rev. B 13 1416), proposed to be constructed as polynomials of the cartesian components of the electronic velocity. The main motivation of both approaches is identical, to handle anisotropic problems efficiently. However, in our approach the basis set is defined as the eigenfunctions of a differential operator and several desirable properties are introduced by construction. The method is demonstrated to be very robust in handling problems with any crystal structure or topology of the FS, and the periodicity of the reciprocal space is treated as a boundary condition for our Helmholtz equation. We illustrate the method by analysing the free-electron-like lithium (Li), sodium (Na), copper (Cu), lead (Pb), tungsten (W) and magnesium diboride (MgB2)