404 research outputs found

    Higher Order mz-elements in Coherent Quantales

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    The 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

    A spectroscopic study of the bipolar planetary nebula Mz 3

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    We 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

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    In 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

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    Engineering, MultidisciplinaryMathematics, Interdisciplinary ApplicationsMechanicsSCI(E)9ARTICLE5275-2791

    John Wesley and Methodist music in the eighteenth century : principles and practice

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    EThOS - Electronic Theses Online ServiceGBUnited Kingdo

    Exegetical and theological analysis of Leviticus 26:3-13

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    V 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

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    A 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

    OXIDE CURRENT RELAXATION SPECTROSCOPY IN TUNNELING METAL-OXIDE-SEMICONDUCTOR STRUCTURES UNDER HIGH-FIELD STRESSES

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    http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:A1990DE28900046&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Physics, AppliedSCI(E)11ARTICLE116924-69296

    Environmental factors in obsessive-compulsive behavior: Evidence from discordant and concordant monozygotic twins.

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    To investigate environmental factors that protect against or exacerbate obsessive-compulsive (OC) symptoms, we selected 25 monozygotic (MZ) twin pairs discordant, 17 MZ twin pairs concordant high and 34 MZ pairs concordant low on OC symptoms from a large longitudinal Dutch sample of adult twin pairs and their family members, applying stringent criteria for OC symptomatology. Data were collected on psychopathology, family structure, health, lifestyle, birth complications and life events. Unique environmental factors were studied using within-discordant MZ pair comparisons, whereas between-concordant MZ pair comparisons were used to study environmental factors that are shared by the twins of an MZ pair. The high-scoring MZ twins of the discordant group reported more life events (especially sexual abuse) than their low-scoring twin-siblings. The between-pair comparisons showed lower birth weight in the discordant MZ pairs than in the concordant MZ pairs. Further, the concordant high MZ pairs as well as their spouses had a lower educational level than the two other groups. On scale scores of anxious-depression, neuroticism, and somatic complaints, concordant high MZ pairs showed highest scores, and the discordant MZ pairs scored intermediate, except for neuroticism, on which the high-scoring twins of discordant MZ pairs were equal to the concordant high pairs. Discordance on psychological scale scores between the concordant MZ pairs was evident from 1991 onward, and within the discordant MZ pairs from 1997 onward, confirming previous reports of an association of early-onset OC symptoms with higher genetic load. Parent scores of OC symptoms and anxious-depression suggested intermediate genetic load in the discordant MZ group. In conclusion, this study reports on both unique and shared environmental factors associated with OC symptomatology. Whether these factors operate in addition to or in interaction with genetic disposition is to be elucidated in future studies. © 2008 The Author(s)

    Transport equations for a general class of evolution equations with random perturbations

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    We derive transport equations from a general class of equations of form iu(t) = H(X,D)u + V(X,D)u where H(X,D) and V(X,D) are pseudodifferential operators (Weyl operator) with symbols H(x,k) and V(x,k), where H(x,k) being polynomial in k and smooth in x,V(x,k) is a mean zero random function and is stationary in space variable. We also consider system of equations in the above form. Such equations cover many of the equations that arise in wave propagations, such as those considered in a paper by Ryzhik, Papanicolaou, and Keller [Wave Motion 24, 327-370 (1996)]. Our results generalize those by Ryzhik, Papanicolau, and Keller. (C) 1999 American Institute of Physics. [S0022-2488(99)03209-0].Physics, MathematicalSCI(E)11ARTICLE104828-48584
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