Дисертації з теми "Ranges"
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Eslinger, Brian, and Tom Young. "BRINGING RANGES CLOSER TOGETHER – NEW OPPORTUNITIES IN RANGE INTERCONNECTIVITY." International Foundation for Telemetering, 2003. http://hdl.handle.net/10150/606748.
Повний текст джерелаTest and training ranges have sought the holy grail of large-scale range interconnectivity for many years. The ability to test at any range and transmit the information to the engineers at the home base and control the mission without sending the entire test team to a remote location improves the test schedules, reduces the cost of testing and improves the testing capabilities. New opportunities of interconnecting ranges are changing the business of open air range testing and the resulting capabilities. Two predominant opportunities will be discussed in this paper. First, is taking advantage of the fiber glut that the US is currently experiencing along with opportunities for government-acquired assets to service the testing community. This approach provides the government the ability to fiber-optically create a virtual test range and provide full interconnectivity of all data. Second is to take advantage of the existing networks such as the Defense Research Engineering Network (DREN) to make efficient on-demand type connectivity where, otherwise, it would be cost prohibitive.
Wagenhofer, Markus. "Block numerical ranges." [S.l.] : [s.n.], 2007. http://deposit.ddb.de/cgi-bin/dokserv?idn=98404972X.
Повний текст джерела鄭金木 and Kam-muk Cheng. "Plotting generalized numerical ranges." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1998. http://hub.hku.hk/bib/B31220514.
Повний текст джерелаSmith, Tabrina M. "Operator Ranges and Porosity." Kent State University / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=kent1215466700.
Повний текст джерелаCheng, Kam-muk. "Plotting generalized numerical ranges /." Hong Kong : University of Hong Kong, 1998. http://sunzi.lib.hku.hk/hkuto/record.jsp?B20792736.
Повний текст джерелаat, Klaus Schmidt@univie ac. "Invariant Cocycles have Abelian Ranges." ESI preprints, 2001. ftp://ftp.esi.ac.at/pub/Preprints/esi935.ps.
Повний текст джерелаChan, Kong, and 陳鋼. "Preservers of generalized numerical ranges." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2013. http://hub.hku.hk/bib/B50662181.
Повний текст джерелаpublished_or_final_version
Mathematics
Doctoral
Doctor of Philosophy
Kuhn, Zuzana. "Ranges of vector measures and valuations." Diss., Georgia Institute of Technology, 1997. http://hdl.handle.net/1853/30875.
Повний текст джерелаFelton, A. J. "Biorthogonality and generalised k-numerical ranges." Thesis, Swansea University, 1995. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.636967.
Повний текст джерелаNeeves, K. F. "The safety of military firing ranges." Thesis, Cranfield University, 1996. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.484167.
Повний текст джерелаBENTZEN, Bruno. "Value-ranges, Julius Caesar and Indeterminacy." Universidade Federal de Pernambuco, 2014. https://repositorio.ufpe.br/handle/123456789/10802.
Повний текст джерелаMade available in DSpace on 2015-03-05T17:15:48Z (GMT). No. of bitstreams: 1 DISSERTAÇÃO Bruno Bentzen Aguiar.pdf: 612020 bytes, checksum: 6f17bcdf8d18b27a6c1f6caa61ed5791 (MD5) Previous issue date: 2014
As Grundgesetze der Arithmetik de Frege e o livro que cont em a vers~ao nal do sistema formal desenvolvido para provar a sua tese de que aritm etica e redut vel a l ogica. A m de evitar a indetermina c~ao levantada pelo problema Julius Caesar, a mais fundamental quest~ao los o ca encontrada pelo seu logicismo, Frege e levado a de nir os n umeros como extens~oes de conceitos, e, com isto, introduzir o Axioma V em seu sistema para governar a no c~ao de percurso de valores. Por em, no par agrafo 10 do livro, Frege encontra um novo problema de indetermina c~ao, a saber, o fato de que o Axioma V n~ao determina a refer^encia dos nomes de percurso de valores. Para resolver este problema, Frege executa a identi ca c~ao trans-sortal, que e a identi ca c~ao dos valores de verdade com percursos de valores de fun c~oes particulares. Entretanto, porque a identi ca c~ao n~ao nos fornece uma determina c~ao t~ao completa quanto a que dever amos esperar de seu famoso princ pio da completa determina c~ao (ela n~ao permite decidir se Julius Caesar e um percurso de valores), estudiosos como, principalmente, Dummett (1981) eWright (1983), t^em a rmado que Frege foi, a nal, incapaz de resolver o problema Julius Caesar em uma vers~ao persistente. O objetivo desta disserta c~ao se assenta em duas vertentes. Primeiro, queremos propor uma interpreta c~ao, sugerida por Greimann (2003), para conciliar a identi ca c~ao trans-sortal de Frege com o seu comprometimento com o princ pio da completa determina c~ao. Segundo, queremos concluir, acompanhando Ru no (2002), que n~ao h a problema Julius Caesar para percurso de valores.
Sze, Chuen-kan, and 施泉根. "S-normality and polygonal s-numerical ranges." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1997. http://hub.hku.hk/bib/B29815630.
Повний текст джерела張智健 and Gilbert Cheung. "On star-centers of generalized numerical ranges." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2000. http://hub.hku.hk/bib/B31222328.
Повний текст джерелаBrocklehurst, Simon H. (Simon Howard) 1975. "Evolution of topography in glaciated mountain ranges." Thesis, Massachusetts Institute of Technology, 2002. http://hdl.handle.net/1721.1/29929.
Повний текст джерелаIncludes bibliographical references.
This thesis examines the response of alpine landscapes to the onset of glaciation. The basic approach is to compare fluvial and glacial landscapes, since it is the change from the former to the latter that accompanies climatic cooling. This allows a detailed evaluation of hypotheses relating climate change to tectonic processes in glaciated mountain belts. Fieldwork was carried out in the eastern Sierra Nevada, California, and the Sangre de Cristo Range, Colorado, alongside digital elevation model analyses in the western US, the Southern Alps of New Zealand, and the Himalaya of northwestern Pakistan. The evidence presented here suggests that the so-called "chicken-and-egg" hypothesis is overstated in its appeal to glacial erosion as a major source of relief production and subsequent peak uplift. Glaciers in the eastern Sierra Nevada and the western Sangre de Cristos have redistributed relief, but have produced only modest relief by enlarging drainage basins at the expense of low-relieftopography. Glaciers have lowered valley floors and ridgelines by similar amounts, limiting the amount of "missing mass" that can be generated, and causing a decrease in drainage basin relief.
(cont.) The principal response of glaciated landscapes to rapid rock uplift is the development of towering cirque headwalls. This represents considerable relief production, but is not caused by glacial erosion alone. Large valley glaciers can maintain their low gradient regardless of uplift rate, which supports the "glacial buzzsaw" hypothesis. However, the inability of glaciers to erode steep hillslopes as rapidly can cause mean elevations to rise. Cosmogenic isotope dating is used to show that (i) where plucking is active, the last major glaciation removed sufficient material to reset the cosmogenic clock; and (ii) former glacial valley floors now stranded near the crest of the Sierra Nevada are at varying stages of abandonment, suggesting a cycle of drainage reorganisation and relief inversion due to glacial erosion similar to that observed in river networks. Glaciated landscapes are quite distinct from their fluvial counterparts in both landforms and processes. Given the scarcity of purely fluvial, active mountain ranges, it is essential that glacial erosion be considered amongst the processes sculpting active orogenic belts.
by Simon H. Brocklehurst.
Ph.D.
Rice, Michael, and Eugene Law. "AERONAUTICAL TELEMETRY FADING SOURCES AT TEST RANGES." International Foundation for Telemetering, 1997. http://hdl.handle.net/10150/609809.
Повний текст джерелаThis paper describes the two main causes of fading encountered at test ranges. The first cause of fading results from nulls in the transmit antenna gain pattern. Variations in the received signal level are a result of changes in the gain pattern as the spatial relationship between transmitter and receiver change. The second cause of fading is due to multipath interference. This occurs when multiple copies of the transmitted signal with different delays arrive at the receiver and are phased relative to each other so that destructive interference occurs.
MOZER, JOEL BARNEY. "LEE VORTICITY PRODUCTION BY TROPICAL MOUNTAIN RANGES." Diss., The University of Arizona, 1994. http://hdl.handle.net/10150/186600.
Повний текст джерелаOlsson, Marcus, and Fredrika Kringberg. "POKI : Robotic ball collector on golf ranges." Thesis, KTH, Maskinkonstruktion (Inst.), 2016. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-192008.
Повний текст джерелаMajoriteten av dagens golfklubbar har en range vars rangebollar samlas upp med hjälp av golfbil och förare, något som är repetitivt och borde gå att automatisera. Denna rapport beskriver hur en sådan autonom robot kan konstrueras för att gynna golfklubbars ekonomi samt hållbar utveckling. Prototypen har konstruerats för att fungera i skarpt läge även om flera delar behöver vidareutvecklas i och med begräsningar i tid och ekonomi. Fokus i detta projekt har lagts på detektering av golfbollar. Styrningen placerades vid framhjulen för att ge kontinuerlig drift vid bakaxel där bollar plockas upp. Med GPS begränsades rangeområdet samt gav roboten en ungefärlig position för laddstationen. Därefter användes en kamera för att detektera bollar samt laddstation, där bollkorgen töms. Kameran som användes är en Pixy, programmering gjordes via Arduino Mega, och CAD-filer gjordes i Solid Edge ST7. Prototypen är mestadels tillverkad med hjälp av svarv, fräs, 3D-skrivare, laserskärare och vakuumformare. Slutsatsen är att kameran som används var för opålitlig. En kamera som är mindre ljuskänslig och med högre bildkvalité skulle behövas för att detektera bollar effektivt. Många områden kan vidareutvecklas. Exempelvis kan solceller vid laddstationen användas för att ytterligare förbättra hållbarhetsaspekten, och ett automatiskt system för att transportera bollar från laddstation till doseringsanordning bör skapas för att göra bollupplockningen helt autonom.
Cornick, Namrata Uppal. "The vehicle routing problem with demand ranges." College Park, Md.: University of Maryland, 2009. http://hdl.handle.net/1903/9376.
Повний текст джерелаThesis research directed by: Applied Mathematics and Scientific Computation Program . Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.
Cheung, Gilbert. "On star-centers of generalized numerical ranges /." Hong Kong : University of Hong Kong, 2000. http://sunzi.lib.hku.hk/hkuto/record.jsp?B21583833.
Повний текст джерелаSze, Chuen-kan. "S-normality and polygonal s-numerical ranges /." Hong Kong : University of Hong Kong, 1997. http://sunzi.lib.hku.hk/hkuto/record.jsp?B19616223.
Повний текст джерелаMendis, Premalal J. "The origin of the geological structures, diapirs, grabens, and barite veins in the Flinders Ranges, South Australia." Title page, abstract and contents only, 2002. http://web4.library.adelaide.edu.au/theses/09PH/09phm5389.pdf.
Повний текст джерелаRich, Johnathan. "Are Species’ Geographic Ranges Mainly Determined by Climate?" Thesis, Université d'Ottawa / University of Ottawa, 2017. http://hdl.handle.net/10393/35926.
Повний текст джерелаLayton, Ronald A. "Sustainability issues in the Central Mount Lofty Ranges." Title page, table of contents and abstract only, 2001. http://web4.library.adelaide.edu.au/theses/09ENV/09envl429.pdf.
Повний текст джерелаWage, Kathleen E. "Broadband modal coherence and beamforming at megameter ranges." Thesis, Massachusetts Institute of Technology, 2000. http://hdl.handle.net/1721.1/86425.
Повний текст джерелаIncludes bibliographical references (leaves 140-146).
by Kathleen E. Wage.
Ph.D.
Karr, Bill, Matt Maxel, and Errol Watson. "Common Display System (CDS) at the NAVAIRWD Ranges." International Foundation for Telemetering, 2009. http://hdl.handle.net/10150/606004.
Повний текст джерелаThe Common Display System (CDS) will provide all NAVAIRWD sites with a flexible Range real-time situational awareness and telemetry display/processing capability. CDS will have an extensible framework enabling all sites to quickly and conveniently develop Range unique plugins to accommodate new requirements or functionality not presently found in the applications common core plug-ins. Range unique plug-ins are separate and distinct from the application's common core engine.
Hermann, Scott A., Mark A. Wigent, and Tomas C. Chavez. "Pacific Ranges Interoperable Test & Evaluation Capabilities (PRITEC)." International Foundation for Telemetering, 2009. http://hdl.handle.net/10150/606152.
Повний текст джерелаThe office of the Defense Test Resources Management Center (DTRMC) has developed two major programs to achieve Joint/Interoperable exercises between DoD test and training ranges. Joint Mission Environment Test Capability (JMETC) defines a LVC environment in which Joint operations take place, while the Test and Training Enabling Architecture (TENA) defines the communication within that environment. Putting these programs to everyday use has been a challenge for the ranges. The Pacific Missile Range Facility (PMRF) is executing the Central Test & Evaluation Investment Program (CTEIP) sponsored Pacific Ranges Interoperable Test & Evaluation Capabilities (PRITEC) project designed to develop a set of tools that will facilitate implementation of JMETC and TENA. This paper will discuss the PRITEC project in detail.
Grasby, Stephen E. (Stephen Edward). "Stratigraphy of the Miette group and tectonic history of the southern Selwyn Range, western Main Ranges, British Columbia." Thesis, McGill University, 1991. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=60512.
Повний текст джерелаStructures in the southern Selwyn Range developed during three main phases of deformation. The Fraser River Antiform, the dominant structure, formed during D$ sb2$. The Selwyn Range Fault cross-cut the earlier Fraser River Antiform during early D$ sb3$. The Fraser River Antiform tightened during late D$ sb3$, when the Selwyn Range Fault was reactivated, forming a 100m thick shear zone. The Chatter Creek Fault (D$ sb3$ or latter) has compressional and dextral motion, both with minor displacement.
Metamorphism was initiated during D$ sb2$ and peaked during D$ sb3$.
Stretch, Gordon W. "The southern termination of the Main Ranges and Western Ranges of the southern Canadian Rocky Mountains, stratigraphy, structural geology, and tectonic implications." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1997. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp04/mq20704.pdf.
Повний текст джерелаAkter, Shirin. "Regional flood estimation method for the Mt. Lofty Ranges /." Title page, abstract and contents only, 1992. http://web4.library.adelaide.edu.au/theses/09ENS/09ensa315.pdf.
Повний текст джерелаSalam, Haris. "Cyber Ranges: A design and implementation of Virtual Honeypots." Thesis, KTH, Kommunikationsnät, 2013. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-137108.
Повний текст джерелаYıldıztekin, Kemal [Verfasser]. "Modifikationen kleinen Ranges von nichtlinearen symmetrischen Eigenwertaufgaben / Kemal Yıldıztekin." München : Verlag Dr. Hut, 2012. http://d-nb.info/1029399336/34.
Повний текст джерелаHerdegen, Dale W. "Adaptive noise cancellation applied to the NUWES test ranges." Thesis, Monterey, California. Naval Postgraduate School, 1991. http://hdl.handle.net/10945/27933.
Повний текст джерелаVan, Wechel R. J., and R. P. Jarrell. "Application of GPS to Hybrid Integrated Ranges and Simulations." International Foundation for Telemetering, 1995. http://hdl.handle.net/10150/611612.
Повний текст джерелаGPS user equipment has matured and is now available to support the use of live players in integrated ranges and simulations. P-code GPS provides true WGS-84 based coordinate information anywhere in the world at any time and to accuracies at the 5 ft (1s) level (demonstrated in high dynamic aircraft using differential P-code GPS). C/A code GPS shows lower accuracy and is especially vulnerable to multipath degradation over water. In supporting networked ranges with simulations, GPS is directly applicable to the dead reckoning requirements of the Distributed Interactive Simulation (DIS) community. DIS dead reckoning provides the capability of much reduced data rates in recovering TSPI information from platforms. The on-board state vector for an integrated GPS/Inertial Reference Unit provides accurate position, velocity and acceleration as well as attitude and attitude rate information so that dead reckoning thresholds can be both position and attitude driven. A simplified analysis is presented in the paper to derive dead reckoning update rates from the G loading levels of various player dynamics. Also, information is provided which results in word length requirements for GPS-based state vector information for transmission over minimum word length DIS Field Instrumentation Protocol Data Units (PDUs, which are the data block formats). The coordinate frame problem in use of GPS-based state vector information from fixed ranges is also addressed, showing that the use of a local geodetic frame is preferable to the use of an earth centered earth fixed frame, in that it is more efficient of network PDU word length.
Scheetz, Caleb David. "Dissolution, Transport, and Fate of Lead on Shooting Ranges." Thesis, Virginia Tech, 2003. http://hdl.handle.net/10919/9856.
Повний текст джерелаMaster of Science
Kerr, Sarah. "A study of lodging ranges in late Medieval England." Thesis, Queen's University Belfast, 2016. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.706995.
Повний текст джерелаDorjgurhem, Batbold. "Regional biodiversity management strategy : case study on the Flinders Ranges." Title page, contents and abstract only, 1999. http://web4.library.adelaide.edu.au/theses/09AS/09asd699.pdf.
Повний текст джерелаGrear, Brenton. "The origin of asymmetrical valleys in the Mount Lofty ranges /." Title page and contents only, 1988. http://web4.library.adelaide.edu.au/theses/09AR/09arg786.pdf.
Повний текст джерелаRessom, Robert. "Forest ecotourism in the Mount Lofty Ranges of South Australia /." Title page, contents and abstract only, 1993. http://web4.library.adelaide.edu.au/theses/09ENV/09envr435.pdf.
Повний текст джерелаBoonroeng, Supannee. "An analysis system for dye delivery on continuous dyeing ranges." Thesis, Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/10175.
Повний текст джерела文偉業 and Wai-yip Man. "Some properties of C-numerical ranges and C-numerical radii." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1992. http://hub.hku.hk/bib/B31210491.
Повний текст джерелаAdolfsson, Sebastian. "Expanding operation ranges using active flow control in Francis turbines." Thesis, Umeå universitet, Institutionen för tillämpad fysik och elektronik, 2014. http://urn.kb.se/resolve?urn=urn:nbn:se:umu:diva-90392.
Повний текст джерелаLAUTZENHISER, LLOYD L. "A FREQUENCY AGILE, SECURE VIDEO LINK FOR U.S. TEST RANGES." International Foundation for Telemetering, 1985. http://hdl.handle.net/10150/615731.
Повний текст джерелаDoD has established a goal of having range telemtry and video RF links on all national test ranges secure and/or encrypted in the near future. Emhiser Research has developed a new family of digitally synthesized, frequency agile, video transmitter and receiver sets. These video sets, which operate at L-band, S-band, or C-band frequencies, are frequency agile, changing frequency on each video line. The frequency changes take place during retrace in about 6 microseconds. Through the use of novel, frequency synthesization techniques, each new frequency is immediately stable at the new frequency value and frequency synchronization and lock problems have been solved. This paper describes the operation of both the transmitter and receiver, presents block diagrams and outlines test results on the prototype units, novel features and advantages will be outlined and possible applications will be discussed.
Rosa, Luiz Carlos Laureano da. "Modelagem estatística das medidas de pseudo-ranges no sistema GPS." Instituto Tecnológico de Aeronáutica, 1996. http://www.bd.bibl.ita.br/tde_busca/arquivo.php?codArquivo=1574.
Повний текст джерелаBretz, Joshua Harlen 1974. "DC-DC converters with high efficiency over wide load ranges." Thesis, Massachusetts Institute of Technology, 1999. http://hdl.handle.net/1721.1/9721.
Повний текст джерелаIncludes bibliographical references (leaf 63).
An integrated switching regulator is presented, including theory of operation, circuit design, and test results. This DC-DC converter introduces several novel circuits which enable more efficient operation at output powers from l00J.1W to lW. Efficiency above 80% is achieved from 500JlW to 500mW. Specifically, depending on the load current, the regulator automatically switches between Pulse Frequency Modulation (PPM) and Pulse Width Modulation (PWM), and also automatically selects the optimum switching MOSFET. The current sensing is done without an additional current sense resistor. PFM mode operation is synchronous to allow sampled data systems to avoid sampling on switching transitions. In all modes of operation, the regulator output voltage is digitally programmable. This enables variable voltage architectures, in which the power supply of a digital system is dynamically changed depending on the throughput requirements, resulting in significant power reductions.
by Joshua Harlen Bretz.
S.M.
Man, Wai-yip. "Some properties of C-numerical ranges and C-numerical radii /." [Hong Kong] : University of Hong Kong, 1992. http://sunzi.lib.hku.hk/hkuto/record.jsp?B13215024.
Повний текст джерелаChan, Kong. "Linear preservers of operators with non-negative generalized numerical ranges /." Hong Kong : University of Hong Kong, 1999. http://sunzi.lib.hku.hk/hkuto/record.jsp?B21556556.
Повний текст джерелаKors, Andrei [Verfasser]. "InP - based quantum dots for telecom wavelengths ranges / Andrei Kors." Kassel : Universitätsbibliothek Kassel, 2020. http://d-nb.info/1222555239/34.
Повний текст джерелаMaghini, Mark Thomas 1963. "Water use and diurnal ranges of Coues white-tailed deer." Thesis, The University of Arizona, 1990. http://hdl.handle.net/10150/291509.
Повний текст джерелаTaheri, Fatemeh Esmaeili. "Numerical ranges of linear pencils." Doctoral thesis, 2016. http://hdl.handle.net/10316/30391.
Повний текст джерелаO contradomínio numérico de matrizes finitas e de operadores lineares tem sido intensivamente investigado. Nesta tese, o conceito de contradomínio numérico de um feixe linear de matrizes e a geometria do contradomínio numérico são estudados usando técnicas de geometria algébrica plana. A classificação de todas as possíveis curvas geradoras de fronteira de feixes de matrizes de ordens dois e três é dada explicitamente, quando uma das matrizes é hermítica. O contradomínio numérico de feixes lineares com coeficientes hermíticos tem sido objeto de estudo pelos investigadores. Nesta dissertação caracterizámos o contradomínio numérico de feixes lineares auto-adjuntos, apontando e corrigindo um erro reproduzido na literatura. Para o caso n = 2, as curvas geradoras de fronteira são cónicas. As demonstrações do Teorema do Contradomínio Elíptico, Teorema do Contradomínio Parabólico e Teorema do Contradomínio Hiperbólico foram obtidas de modo unificado. O caso dois por dois é particularmente importante, porque um feixe de dimensão arbitrária pode ser reduzido por compressão ao caso bidimensional. Para n = 3, e uma das matrizes do feixe hermatica obtivemos a classificação de todas as possíveis curvas geradoras de fronteira do contradomínio numérico, distinguindo-se os casos de matrizes positivas (negativas) definidas, positivas (negativas) semi-definidas e indefinidas. Todas essas curvas são completamente descritas usando a classificação das cúbicas de Newton. Os resultados obtias são ilustrados através de exemplos numéricos. In recent years, the numerical range of finite matrices and linear operators has been intensively investigated. In this thesis, the concept of numerical range of a linear pencil is discussed, and the geometry of the numerical range is investigated by using techniques of plane algebraic geometry. The classification of all possible boundary generating curves of the numerical range of pencils of two-by-two and three-by-three matrices is explicitly given, when one of the matrices is hermitian. The numerical range of linear pencils with hermitian coefficients has been studied by some authors. We have characterized the numerical range of self-adjoint linear pencils, pointing out and correcting an error reproduced in the literature. For the case n=2 , the boundary generating curves of numerical range are conics. Geometrical proofs of the Elliptical Range Theorem, Parabolical Range Theorem and Hyperbolical Range Theorem, have been obtained in an unified way. We remark that the two-by-two case is particularly important, since for a pencil of arbitrary dimension the compression to the bidimensional case gives us information on the general n by n case. For n = 3, we obtained the classification of all possible boundary generating curves of the numerical range, distinguishing the case of one of the matrices being positive (negative) definite, semidefinite and indefinite. All the possible boundary generating curves of the numerical range of three-by-three linear pencils can be completely described by using Newton’s classification of cubic curves. The obtaining results are illustrated by numerical examples.
Koch, Julia Diana. "Value Ranges for Schlicht Functions." Doctoral thesis, 2016. https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-144978.
Повний текст джерелаDie vorliegende Dissertation beschäftigt sich mit Wertemengen, d.h. der Frage, welche Werte eine Menge von Funktionen in einem vorgegeben Punkt annehmen kann. Probleme dieser Art werden schon seit Langem behandelt; eine erste Antwort in Form des Lemmas von Schwarz wurde bereits im 19. Jahrhundert gegeben, und viele Verfeinerungen folgten. Seit den 30er Jahren des 20. Jahrhunderts steht ein mächtiges Instrument zur Lösung solcher Probleme in Form der Löwner-Theorie zur Verfügung. Wir benutzen diese sowie Variationsmethoden, die auf Schiffer-Variation zurückgehen, um die folgenden Fragestellungen zu klären: Wir beschreiben die Menge der Werte, die eine schlichte normalisierte Funktion mit fixierter Ableitung im Ursprung annehmen kann, durch Anwendung des Pontryagin-Maximumprinzip auf die radiale Löwner-Gleichung. Als Nächstes bestimmen wir die Wertemengen für holomorphe normalisierte beschränkte Funktionen, deren Taylor-Entwicklung um 0 nur reelle Koeffizienten hat, und für die kleinere Menge von Funktionen, die zusätzlich typisch reell sind. Außerdem beschreiben wir den Wertebereich schlichter Selbstabbildungen der oberen Halbebene mit hydrodynamischer Normalisierung, die symmetrisch bezüglich der imaginären Achse sind. Zuletzt geben wir mit Hilfe von Variationsmethoden eine notwenige Bedingung für schlichte beschränkte Funktionen auf dem Einheitskreis an, deren Ableitung in einem Punkt mit vorgegebenem Funktionswert extremal ist