705 research outputs found
Higher Order mz-elements in Coherent Quantales
No full textThe mz-elements of a coherent quantale have recently been defined by the author as an abstraction of the mz-ideals of a unital commutative ring.
Having as its starting point the Dube and Ighedo recent paper on higher order ideals in ring theory, this paper deals with the higher order mz-elements of a coherent quantale A. For each natural number n we define the mz^n-elements of A, so we obtain an ascending sequence that covers the set of all higher order mz-elements. We obtain a lot of properties of this sequence. In particular, the stationarity of the sequence is studied. Another category of results investigates how the coherent quantale morphisms preserve such properties
Existence and pathwise uniqueness of solutions for stochastic differential equations with respect to martingales in the plane
No full textAbstractIn this paper we establish some new theorems on pathwise uniqueness of solutions to the stochastic differential equations of the form of Xz=Z(s,0)+Z(0,t)−Z(0,0)+∫Rza(ξ,Xξ)dMξ+∫Rzb(ξ,Xξ)dAξ for z=(s,t)∈R+2 with non-Lipschitz coefficients, where M={Mz,z∈R+2} is a continuous square integrable martingale and A={Az,z∈R+2} is a continuous increasing process, Z is a continuous stochastic process on boundary ∂R+2 of R+2. We have proved existence theorem for the equation in Liang (1996a)
A spectroscopic study of the bipolar planetary nebula Mz 3
No full textWe have obtained a medium-resolution, deep optical long-slit spectrum of the bipolar planetary nebula Mz 3. The spectrum covers the wavelength range 3420-7400 Å. Over 200 emission lines have been detected, many of them permitted and forbidden transitions from Fe +, Fe 2+ and Fe 3+ and other iron-group elements. The spectra have been used to determine nebular thermal and density structures and elemental abundances. The very rich and prominent [Fe III] emission lines observed in the optical spectrum of Mz 3 are found to originate exclusively from an unresolved emission region centred on the central star. The relative intensities of [Fe III] lines arising from the same upper level are in good agreement with the theoretical predictions. The [Fe III] lines detected in Mz 3, arising from levels of different excitation energies and critical densities, provide powerful diagnostic tools to probe the physical conditions in the central emitting region. We find that all the observed [Fe III] diagnostic line ratios consistently yield an electron temperature of T e = 11 000 K and a density of log N e(cm -3) = 6.5. The latter value is close to the densities where the ratios of these [Fe III] diagnostic lines are most sensitive to density variations, suggesting that the density in the central emission core could be even higher. In contrast, all the other standard nebular density- and temperature-diagnostic line ratios, all of lower critical densities than the [Fe III] lines and therefore only useful at densities ≤ 10 6 cm -3, yield consistently lower electron densities, with the resultant values correlating with their critical densities. This indicates that the central dense emission core has a highly stratified density structure such that forbidden lines of relatively low critical densities are collisionally suppressed in high-density regions. Given the highly stratified thermal and density structures of the core emission region, no reliable elemental abundances can be determined for this region, except possibly for iron, for which we find an abundance of approximately half the solar value. In contrast to the dense central core, emission from the extended bipolar lobes of Mz 3 are well represented by a mean electron temperature of 6800 K and density of 5200 cm -3. The elemental abundances derived for this region, on a logarithmic scale where H = 12, are He = 10.93, C = 8.41, N = 8.37, O = 8.50, Ne = 7.64, S = 7.15, Cl = 5.28 and Ar = 7.14. In all cases, the abundances are close to the average values deduced for Galactic planetary nebulae. In particular, there is no evidence of He enrichment, as claimed in previous studies. The newly derived heavy-element abundances are significantly higher than those published in the literature. In those earlier studies, as a result of the contamination of emission from the dense central core, the average electron temperature in Mz 3 was significantly overestimated, resulting in grossly underestimated heavy-element abundances. However, Mz 3 does seem to have a relatively high N/O abundance ratio, in line with the result derived from the ISO observations of the far-infrared fine-structure lines.link_to_OA_fulltex
The arithmetic mean theorem of eshelby tensor for a rotational symmetrical inclusion
No full textIn 1997, H. Nozaki and M. Taya found numerically that for any regular polygonal inclusion except for a square, both the Eshelby tensor at the center and the average Eshelby tensor over the inclusion domain are equal to the Eshelby tensor for a circular inclusion and independent of the orientation of the inclusion. Then in 2001, these remarkable properties were mathematically justified by Kawashita and Nozaki. In this paper, a more radical property is presented for a rotational symmetrical inclusion: For any N-fold (N is an integer greater than 2 and unequal to 4) rotational symmetrical inclusion, the arithmetic mean of the Eshelby tensors at N rotational symmetrical points in the inclusion is the same as the Eshelby tensor for a circular inclusion and independent of the orientation of the inclusion. It follows that the Eshelby tensor at the center and the average Eshelby tensor over the rotational symmetrical inclusion domain are identical to the Eshelby tensor for a circular inclusion and independent of the orientation of the inclusion as well. This paper shows that although the Eshelby property does not hold for non-ellipsoidal inclusions, the Eshelby tensor for a rotational symmetrical inclusion satisfies the arithmetic mean property.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000229972600002&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Engineering, MultidisciplinaryMaterials Science, MultidisciplinaryMechanicsSCI(E)EI22ARTICLE113-237
A GENERALIZATION OF ALMANSI THEOREM AND ITS APPLICATION
No full textEngineering, MultidisciplinaryMathematics, Interdisciplinary ApplicationsMechanicsSCI(E)9ARTICLE5275-2791
PIMS sequencing extension:a laboratory information management system for DNA sequencing facilities
No full textBackground: Facilities that provide a service for DNA sequencing typically support large numbers of users and experiment types. The cost of services is often reduced by the use of liquid handling robots but the efficiency of such facilities is hampered because the software for such robots does not usually integrate well with the systems that run the sequencing machines. Accordingly, there is a need for software systems capable of integrating different robotic systems and managing sample information for DNA sequencing services. In this paper, we describe an extension to the Protein Information Management System (PIMS) that is designed for DNA sequencing facilities. The new version of PIMS has a user-friendly web interface and integrates all aspects of the sequencing process, including sample submission, handling and tracking, together with capture and management of the data. Results: The PIMS sequencing extension has been in production since July 2009 at the University of Leeds DNA Sequencing Facility. It has completely replaced manual data handling and simplified the tasks of data management and user communication. Samples from 45 groups have been processed with an average throughput of 10000 samples per month. The current version of the PIMS sequencing extension works with Applied Biosystems 3130XL 96-well plate sequencer and MWG 4204 or Aviso Theonyx liquid handling robots, but is readily adaptable for use with other combinations of robots. Conclusions: PIMS has been extended to provide a user-friendly and integrated data management solution for DNA sequencing facilities that is accessed through a normal web browser and allows simultaneous access by multiple users as well as facility managers. The system integrates sequencing and liquid handling robots, manages the data flow, and provides remote access to the sequencing results. The software is freely available, for academic users, from http://www.pims-lims. org/
John Wesley and Methodist music in the eighteenth century : principles and practice
No full textEThOS - Electronic Theses Online ServiceGBUnited Kingdo
Temperature effect on elastic modulus of thin films and nanocrystals
No full textThe stability of nanoscale devices is directly related to elasticity and the effect of temperature on the elasticity of thin films and nanocrystals. The elastic instability induced by rising temperature will cause the failure of integrated circuits and other microelectronic devices in service. The temperature effect on the elastic modulus of thin films and nanocrystals is unclear although the temperature dependence of the modulus of bulk materials has been studied for over half a century. In this paper, a theoretical model of the temperature-dependent elastic modulus of thin films and nanocrystals is developed based on the physical definition of the modulus by considering the size effect of the related cohesive energy and the thermal expansion coefficient. Moreover, the temperature effect on the modulus of Cu thin films is simulated by the molecular dynamics method. The results indicate that the elastic modulus decreases with increasing temperature and the rate of the modulus decrease increases with reducing thickness of thin films. The theoretical predictions based on the model are consistent with the results of computational simulations, semi-continuum calculations and the experimental measurements for Cu, Si thin films and Pd nanocrystals
Exegetical and theological analysis of Leviticus 26:3-13
No full textV diplomskem seminarskem delu z naslovom Eksegetska in teološka analiza blagoslovov v 3 Mz 26,3-13 avtor predstavlja blagoslove v 3 Mz 26,3-13. Avtor delo deli v štiri poglavja. V prvem poglavju skuša razložiti nekatere bistvene značilnosti odlomka, pri čemer ugotovi, da je odlomek del Božjega govora po svetostni postavi, odlomek pa časovno umesti v obdobje po izgnanstvu. V drugem poglavju odlomek eksegetsko razloži in pri tem ugotavlja primernost delitve 3 Mz 26,4-12 v štiri dele. V tretjem poglavju s pomočjo predstavitve značilnosti vzporednega odlomka 5 Mz 28,1-14 osvetljuje nekatere bistvene značilnosti 3 Mz 26,3-13. Avtor ob tem poudarja, da se oba odlomka o blagoslovih nahajata po postavi: 3 Mz 26 po svetostni postavi, 5 Mz 28 pa po devteronomični. Izpostavi dvoje: da sta govornika v odlomkih različna ter da je v prvem odlomku izraelsko ljudstvo naslovljeno v drugi osebi množine, v drugem pa v drugi osebi ednine. Avtor ob tem poudari, da je za 5 Mz značilna uporaba merizma, s katero se želi poudariti blagoslovljenost Izraela tako v mestu kot na polju, torej povsod. V zadnjem poglavju avtor išče vzporednice 3 Mz 26,3-13 z Novo zavezo in današnjim časom. Ob povezavi z Novo zavezo izpostavi razliko in razmerje med blagoslovi in blagri ter izpostavi odlomka 2 Kor 6,16 in Raz 21,3, kjer je zaslediti citata iz 3 Mz 26. Ob povezavi z današnjim dnem ugotavlja, da je blagoslova deležno vse človeštvo.The aim of the present diploma thesis with the title Exegetical and theological analysis of Leviticus 26:3-13 is to present the blessings in the verse Lev 26:3-13. The author has divided the contents of the thesis into four chapters. The first chapter is an attempt to explain some key features of the verse, where the author concludes that it represents part of God’s speech that is given after the end of the Holiness Code after the Exile Israel. In the second chapter, the author attempts to explain the verse exegetically and discusses the relevance of the division of Lev 26:4-12 into four parts. With the help of the explanation of the features of the parallel verse Deut 28:1-14, the author aims to illuminate some key features of Lev 26:3-13. The author concludes that both chapters about blessings are included at the end of sections about two codes: Lev 26 comes at the end of the Holiness Code and Deut 28 at the end of the Deuteronomic Code. The author also concludes that the speakers in both verses are not the same, and notes that in Lev 26:3-13 the Israel is addressed in the second person plural, whereas in Deut 28:1-14 they are addressed as the second person singular. The author points to the use of merism in Deut 28, which emphasises the blessing of Israel in both the city and in the field, and thus everywhere. In the last chapter, the author searches for parallels between Lev 26:3-13, the New Testament and the present time. In the New Testament the difference and relation between the blessings and beatitudes are highlighted, while the author notes 2 Cor 6:16 and Rev 21:3 as passages where references to Lev 26 can be found. In connection with the present day, the author establishes that the whole of mankind is now blessed
The double level calculation of oxygen related donor states in Si and SiO2
No full textA calculation of the levels related to oxygen donors in Si and SiO2 has been performed based on a helium-like model. These calculations agree well with the experimental data while the energies of these levels are in the ratio of about 2:1 and the effective radii of these levels are in the ratio of about 2:1. (C) 2001 Elsevier Science Ltd. All rights reserved.Physics, Condensed MatterSCI(E)EI9ARTICLE6365-36711
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