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    Y Llyfr gweddi gyffredin y cydymmaith goreu, [electronic resource] : yn y ty a'r 'stafell yn gystal ac yn y deml. : Neu Gynhulliad o Weddiau allan o wasanaeth Cyffredin Eglwys Loegr, tra angenrheidiol i'r holl deulu ynghyd, ac i bob dãyn yn neullduol ar ei ben ei hun. Gyda Gwasanaeth neullduol i'r sacrament.

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    "Gweddiau yn yr ystafell" also identified on reel 2746 as Wing G2280A.Reproduction of the originals in the Christ Church (University of Oxford) Library and the National Library of Wales.With: Gweddiau yn yr ystafell, i'w harferu gan bob Cristion defosionawl. [Oxford] : Argraphwyd yn Rhydychain gan L. Lichfield, 1693.Wing (2nd ed.)Wing (2nd ed.)Electronic reproduction

    Rhodium-Catalyzed Annulation of 4‑Arylbut-3-yn-1-amines with Internal Alkynes through C–H Functionalization

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    A new, one-step rhodium­(III)-catalyzed annulation of 4-arylbut-3-yn-1-amines with internal alkynes through C–H functionalization is reported. This reaction allows the formation of three new chemical bonds, including two C–C bonds and one C–N band, thus selectively assembling various spiro­[indene-1,2′-pyrrolidine]­s with excellent functional group compatibility, high atom-economy, and step-efficiency

    The global attractivity of the rational difference equation yn=yn−k+yn−m1+yn−kyn−m

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    AbstractThis paper studies global asymptotic stability for positive solutions to the equation yn=yn−k+yn−m1+yn−kyn−m,n=0,1,…, with y−m,y−m+1,…,y−1∈(0,∞) and 1≤k<m. The paper includes a discussion of stability for a wide class of symmetric rational difference equations which includes the type studied here as well as several other in the recent literature

    On the Recursive Sequence yn+1=(p+yn−1)/(qyn+yn−1)

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    AbstractWe investigate the periodic character and the global stability of solutions of the equation yn+1=(p+yn+1)/(qyn+yn−1) with positive parameters and positive initial conditions

    Quasi-thermo dynamic analysis of MOVPE growth of GaxAlyIn1-x-yN

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    A quasi-thermodynamic model of metalorganic vapor phase epitaxy (MOVPE) growth of GaxAlyIn1-x-yN alloys has been proposed. In view of the complex growth behavior of GaxAlyIn1-x-yN, we focus our attention on the galliumrich quaternary alloys that are lattice matched to GaN, In0.15Ga0.85N or Al0.15Ga0.85N, which are widely used in the GaN-based optoelectronic devices. The relationship between GaAlInN alloy composition and input molar ratio of group III metalorganic compounds at various growth conditions has been calculated. The influence of growth temperature, nitrogen fraction in the carrier gas, input partial pressure of group III metalorganics, reactor pressure, V/III ratio and the decomposition rate of ammonia on the composition of deposited alloys are studied systematically. Based on these calculated results, we can find out the appropriate growth conditions for the MOVPE growth of GaxAlyIn1-x-yN alloy lattice matched to GaN, In0.15Ga0.85N or Al0.15Ga0.85N. (C) 2002 Elsevier Science B.V. All rights reserved

    Functionalization of the “Bay Region” of Perylene in Reaction with 1‑Arylalk-2-yn-1-ones Catalyzed by Trifluoromethanesulfonic Acid: One-Step Approach to 1‑Acyl-2-alkylbenzo[<i>ghi</i>]perylenes

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    We describe a convenient method of the synthesis of 1-acyl-2-alkylbenzo­[ghi]­perylenes via functionalization of the “bay region” of perylene in the reaction with 1-arylalk-2-yn-1-ones catalyzed by trifluoromethanesulfonic acid. We showed that the formation of 1-acyl-2-alkylbenzo­[ghi]­perylenes from perylene and 1-arylalk-2-yn-1-ones might occur via spontaneous aromatization of 1-acyl-2-alkyl-2a,12a-dihydrogenbenzo­[ghi]­perylenes by oxidation with dioxygen or by the hydrogen transfer to 1-arylalk-2-yn-1-ones. These compounds are fluorescent in solution with a high Stokes shift and with a ΦF value of up to 0.17 (and 0.36 in solid)

    Existence theorem for the difference equation Yn+1−2Yn+Yn−1=h2f(yn)

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    For the difference equation (Yn+1−2Yn+Yn−1)h2=f(Yn) sufficient conditions are shown such that for a given Y0 there is either a unique value of Y1 for which the sequence Yn strictly monotonically approaches a constant as n approaches infinity or a continuum interval of such values. It has been shown previously that the first alternative is related to the existence of a Peierls barrier energy in the dislocation model of Frenkel and Kontorova

    Functionalization of the “Bay Region” of Perylene in Reaction with 1‑Arylalk-2-yn-1-ones Catalyzed by Trifluoromethanesulfonic Acid: One-Step Approach to 1‑Acyl-2-alkylbenzo[<i>ghi</i>]perylenes

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    We describe a convenient method of the synthesis of 1-acyl-2-alkylbenzo­[ghi]­perylenes via functionalization of the “bay region” of perylene in the reaction with 1-arylalk-2-yn-1-ones catalyzed by trifluoromethanesulfonic acid. We showed that the formation of 1-acyl-2-alkylbenzo­[ghi]­perylenes from perylene and 1-arylalk-2-yn-1-ones might occur via spontaneous aromatization of 1-acyl-2-alkyl-2a,12a-dihydrogenbenzo­[ghi]­perylenes by oxidation with dioxygen or by the hydrogen transfer to 1-arylalk-2-yn-1-ones. These compounds are fluorescent in solution with a high Stokes shift and with a ΦF value of up to 0.17 (and 0.36 in solid)

    Hyfforddwr cyfarwydd i'r nefoedd [electronic resource] : Neu wahawdd difrifol i bechaduriad i droi at Dduw er Jechydwriaeth. Gan ddangos i'r pechadur ystyriol beth sydd raid iddo ei wneuthur i fod yn Gadwedig. O waith gwenidog duwiol yn Lloeger.

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    Gwenidog duwiol yn Lloeger = Joseph Alleine.Electronic reproduction.English Short Title Catalog,Reproduction of original from Bodleian Library (Oxford)

    Functionalization of the “Bay Region” of Perylene in Reaction with 1‑Arylalk-2-yn-1-ones Catalyzed by Trifluoromethanesulfonic Acid: One-Step Approach to 1‑Acyl-2-alkylbenzo[<i>ghi</i>]perylenes

    No full text
    We describe a convenient method of the synthesis of 1-acyl-2-alkylbenzo­[ghi]­perylenes via functionalization of the “bay region” of perylene in the reaction with 1-arylalk-2-yn-1-ones catalyzed by trifluoromethanesulfonic acid. We showed that the formation of 1-acyl-2-alkylbenzo­[ghi]­perylenes from perylene and 1-arylalk-2-yn-1-ones might occur via spontaneous aromatization of 1-acyl-2-alkyl-2a,12a-dihydrogenbenzo­[ghi]­perylenes by oxidation with dioxygen or by the hydrogen transfer to 1-arylalk-2-yn-1-ones. These compounds are fluorescent in solution with a high Stokes shift and with a ΦF value of up to 0.17 (and 0.36 in solid)
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