Regular Homotopy of Closed Curves on Surfaces

The use of rotation numbers in the classification of regular closed curves in the plane up to regular homotopy sparked the investigation of winding numbers to classify regular closed curves on other surfaces. Chillingworth [1] defined winding numbers for regular closed curves on particular surfaces and used them to classify orientation preserving regular closed curves that are based at a fixed point and direction. We define geometrically a group structure of the set of equivalence classes of regular closed curves based at a fixed point and direction. We prove this group structure coincides with the one introduced by Smale [9] via a weak homotopy equivalence. The set of equivalence classes of orientation preserving regular closed curves is a subgroup. This thesis investigates the relationship between this subgroup and the winding number of each element. Specifically, it is proven that this subgroup is isomorphic to the direct product of the integers with the group of orientation preserving closed curves up to homotopy where the isomorphism sends an equivalence class to its winding number and corresponding homotopy class. Using this result, we describe the subgroup for several surfaces by depicting representatives of generators

New Mexico State Common School Funds Sources and Distribution

The purpose of this study is to reveal how the present system of financing the common schools in New Mexico operates by pointing out the sources of revenue and by showing how the various funds for the maintenance of public common schools are distributed. Due consideration will be given to the operation of the present equalization law. An attempt will also be made to answer the much discussed question of whether or not this law penalizes those counties having the highest ratios of tax levy

Noticia de los señores colegiales que actualmente se hallan en el Colegio Mayor de Cuenca de la Universidad de Salamanca, con expressión de los que están acomodados y lugares de su residencia en este año de 1760.

Tít. tomado de comienzo del textoTít. tomado do comenzo do textoSign.: []\p2\

[Constituciones 2]

Texto en latín y españolSign.: [ ]\p2\s, A-Z\p2\s, 2A-2N\p2\sPort. a dos tintas, con esc. calc. de Alfonso Fonseca y Azeved

Implementación de un sistema multipunto con control electrónico programable para un vehículo Datsun 1200

El documento consiste en el cambio de un sistema de carburado a un sistema de inyección, realizando acoples de sensores, actuadores y la computadora. Ejecutando pruebas en el banco dinamométrico para evidenciar el aumento de la potencia, par y disminución de gases contaminantes del motor NISSAN A12. Demostrando que el sistema de inyección ayuda a que el motor trabaje de una manera eficaz y segura.The document consists of the change from a carburetting system to an injection system, making couplings of sensors, actuators and the computer. Running tests on the dynamometric bench to show the increase in power, torque and reduction of polluting gases in the NISSAN A12 engine. Proving that the injection system helps the engine to work efficiently and safely

Constitutiones insignis ac celeberrimi Colegij Maiores Divo Iacobo Zebedaeo Sacri, quod Salmanticae... Didacus Ranirez de Haro... construendum curavit

Tít. tomado da p. 17Texto paralelo en latín e españolDatos del editor: Pé de imprenta tomado do colofónTexto con apostillas marxinaisSig.: A-Z-2A-2ZGrav. calc. "August. Bouttats sculp. Salmant.", retrato de Diego Ramíres de Har

Sermon en las honras, que hizo al ... Fr. Ioseph de Carauantes ... el señor d. Francisco de Sandianes ... en el Colegio de la Compañia de Iesus de la villa de Monforte de Lemos / predicole el Padre Roberto Xauier...

Fecha aprox. de imp. tomada de tít. y prelim.Enc. Perg.Sign.: [A]4, B-C2, D-F4, G

Autoimmune antibodies and asbestos exposure: Evidence from Wittenoom, Western Australia

© 2018 Wiley Periodicals, Inc. Background: Studies comparing different forms of asbestos are rare, and limited by the failure to compare results with unexposed populations. We compare autoimmune responses among former workers and residents of the crocidolite mining and milling town of Wittenoom, Western Australia, with an unexposed population. Methods: ANA testing using indirect immunofluorescence was performed on randomly selected serum samples from Wittenoom workers or residents and compared with those from participants of another unexposed cohort study. Results: ANA scores were higher in the Wittenoom participants compared with Busselton and the odds of being ANA positive was fivefold greater among Wittenoom participants than Busselton (OR 5.5, 95%CI 2.3-13.0). Conclusions: This study is the first to report increased ANA positivity among persons exposed exclusively to crocidolite. This finding of a high frequency of positive ANA tests among crocidolite-exposed subjects may be an indicator for an increased risk of systemic autoimmune diseases and needs further scrutiny