595 research outputs found
Inverz feladatok differenciáloperátorokon = Inverse Problems on Differential operators
Inverz szĂłrási feladatok sok műszaki, orvosdiagnosztikai, fizikai stb. alkalmazásban elĹ‘fordulnak. A projektben a kvantummechanika inverz szĂłrási feladatai közĂĽl vizsgáltunk nĂ©hányat. BizonyĂtottunk unicitási tĂ©teleket, amelyek szerint a szĂłrási adatokbĂłl bizonyos feltĂ©telek mellett a vizsgált objektum egyĂ©rtelműen azonosĂthatĂł. Ezzel lĂ©nyegesen megjavĂtottunk korábban ismert eredmĂ©nyeket. Vizsgáltuk az inverz feladat stabilitását, tehát hogy a rekonstruált objektum mennyire Ă©rzĂ©keny a szĂłrási adatok kis változására. Kutattuk a szĂłrási adatok belsĹ‘, matematikai tulajdonságait, pĂ©ldául a fixenergiás fázistolások sorozatának eloszlását, vagy a szĂłrásamplitĂşdĂł komplex változĂłs kiterjesztĂ©sĂ©nek analitikus növekedĂ©si rendjĂ©t. MegjavĂtottunk ismert rekonstrukciĂłs eljárásokat, melyek a Gelfand-Levitan mĂłdszer alapján állĂtják elĹ‘ a potenciált a fázistolásokbĂłl Ă©s definiáltunk Ăşj rekonstrukciĂłs eljárást, mely egy momentumfeladat minimális normájĂş megoldásán alapul. Az inverz sajátĂ©rtĂ©kfeladat stabilitását is vizsgáltuk vĂ©ges intervallumon Schrödinger operátorra, itt is megjavĂtva klasszikus eredmĂ©nyeket. | Inverse scattering problems appear in many applications in engineering, medical diagnostics, Physics and so on. In this project we investigated some inverse scattering problems of quantum mechanics. We proved uniqueness theorems which state that the target object can be uniquely identified by scattering data. These are essential improvements of some former results. We investigated stability of inverse problems, that is the sensibility of reconstruction to small perturbation of scattering data. Research has been made to clarify the inner mathematical structure of scattering data, e.g. the distribution of fixed-energy phase shifts or the growth of analytic extensions of the scattering amplitude. We developed further some known reconstruction procedures, based on the Gelfand-Levitan method and defined a new one, based on the minimum norm solution of a moment problem. We also considered the stability of the inverse eigenvalue problem for the Schrödinger operator on finite intervals and obtained strengthening of some classical results
A Varsói Szerződés keretében megvalósuló katonai és hadiipari együttműködés története 1955-1991 = Military and armaments industry co-operation in Warsaw Pact 1955-1991
KutatĂłcsoportunk az alapkutatások eredmĂ©nyeire Ă©pĂtve feltárta, Ă©rtĂ©kelte, tudományos közlemĂ©nyeiben bemutatta Ă©s bemutatja: a VarsĂłi SzerzĹ‘dĂ©s megalakulásának közvetlen elĹ‘zmĂ©nyeit, a deklarált Ă©s valĂłságos indokok között meglĂ©vĹ‘ ellentmondásokat, azt, hogy a Szervezetet a SzovjetuniĂł milyen formában használta fel a tagországokkal szemben is nemzeti Ă©rdekei Ă©rvĂ©nyesĂtĂ©sĂ©re; az EgyesĂtett Fegyveres ErĹ‘k Ă©s Magyarország bĂ©ke- Ă©s tervezett "háborĂşs működĂ©se" közötti kĂĽlönbsĂ©geket; az atomháborĂş lehetsĂ©ges megvĂvására, lefolyására vonatkozĂł konkrĂ©t katonai terveket. Nagy figyelmet fordĂtottunk a Magyar NĂ©phadsereg 1954-1991 közötti törtĂ©netĂ©re vonatkozĂł Ăşjabb törtĂ©neti források feldolgozására, vizsgáltuk Magyarország helyĂ©t Ă©s szerepĂ©t a VarsĂłi SzerzĹ‘dĂ©s háborĂşs terveiben. A kutatás Ă©s az elkĂ©szĂĽlĹ‘ másik monográfia fontos Ă©rdemĂ©nek tartjuk, hogy nemzetközi szinten is elsĹ‘k között enged bepillantást a KGST egy ágazati egyĂĽttműködĂ©sĂ©nek mindennapjaiba - eredeti, eddig alig ismert dokumentumok alapján. Kutatásunk eredmĂ©nyeibĹ‘l egyĂ©rtelműen megállapĂthatĂł, hogy a VarsĂłi SzerzĹ‘dĂ©s Ă©s a KGST szoros összefonĂłdásban, ugyanakkor megfelelĹ‘ feladatfelosztással Ă©s tagozĂłdással adott keretet a szovjet blokkon belĂĽli politikai, katonai Ă©s gazdasági egyĂĽttműködĂ©sĂ©nek. | In scholarly publications based on the results of the basic research, our research team has uncovered, evaluated and presented the following: the immediate antecedents of the formation of the Warsaw Pact; the contradictions between the declared and real reasons; how the Soviet Union used the Organization to enforce its national interests even against the member states; the differences between the peace and the planned 'war operations' by the Unified Armed Forces and Hungary. We have paid great attention to studying the latest historical sources concerning the history of the Hungarian People's Army between 1954-1991; we have examined Hungary's place and role in the Warsaw Pact war plans. It is the merit of the research and the other monograph in progress that it is among the first ones even in the international scene that provide insight into the daily processes of Comecon's sectional cooperation - based on original, so far almost unknown documents. From the results of our research it can be clearly ascertained that the Warsaw Pact and the Comecon enabled the political, military and economic cooperation in the Soviet bloc in a tightly connected manner, although with adequate task allocation and structural division
Elektrotechnika
Számos dilemmát okoz a nemlineáris fogyasztĂł által igĂ©nyelt teljesĂtmĂ©ny, illetve az elhasznált energia meghatározása. KĂ©rdĂ©s, hogy mikĂ©nt alakul e kĂ©t mennyisĂ©g egyenirányĂtĂł terhelĂ©s esetĂ©ben, kĂĽlönösen az olyan gyakorlati esetekben, amelyekben a mögöttes impedanciával rendelkezĹ‘ hálĂłzatra az egyenirányĂtĂł terhelĂ©ssel párhuzamosan további hálĂłzatszennyezĂ©st elĹ‘idĂ©zĹ‘ nemlineáris fogyasztĂł csatlakozik
Sojourn times in fluid queues with independent and dependent input and output processes
Markov Fluid Queues (MFQs) are the continuous counterparts of quasi birth–death processes, where infinitesimally small jobs (fluid drops) are arriving and are being served according to rates modulated by a continuous time Markov chain. The fluid drops are served according to the First-Come–First-Served (FCFS) discipline. The queue length process of MFQs can be analyzed by efficient numerical methods developed for Markovian fluid models. In this paper, however, we are focusing on the sojourn time distribution of the fluid drops.
In the first part of the paper we derive the phase-type representation of the sojourn time when the input and output processes of the queue are dependent. In the second part we investigate the case when the input and output processes are independent. Based on the age process analysis of the fluid drops, we provide smaller phase-type representations for the sojourn time than the one for dependent input and output processes
Beyond the Gradual. An Analysis of the Recited Layers of Mass Propers and the Impact of Regensburg on the Early Hungarian Liturgy
This study is intended to introduce a pioneering project called Missalia that should serve to enable the analysis and comparison of the Mass proper as a whole, including not only the chanted parts in the strict sense, but also the so-called euchological material, and the corpus of lessons. Given that they belong to the same system, their analysis is indispensable for the interpretation of musical sources, because the layer of the Gradual in its entirety is far less variable than that of the Sacramentary or the Lectionary. Some new principles and methods are proposed in order to describe and classify the Mass proper of medieval liturgical uses, pre-eminently the necessity of a Europe-wide sampling and the importance of early printed material. As a case study, a recent discovery is presented which demonstrates a close and exclusive link between the euchological layers of the late printed Missals of Regensburg and Zagreb. This relationship can be traced back to, and becomes even more obvious in the early 13th century, and a conclusion can be drawn that it originated in the first decades of the 11th century. In this period, and in this period only, is it feasible to suppose that Regensburg exerted a strong influence on the composition of the early Hungarian Sacramentary
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