391,684 research outputs found
Conformational Analysis of the Sodium/12-Crown-4 Complex: Photoionization and ab Initio Molecular Orbital Studies
No full textConformational Analysis of the Molecular Complexes of Sodium with Methanol and 1,2-Ethanediol: Photoionization and ab Initio Molecular Orbital Studies
No full textConformational Analysis of Molecular Complexes between Sodium and 1,2-Dimethoxyethane: Photoionization and ab Initio Molecular Orbital Studies
No full textStandardization of fishing effort of the Taiwanese pair trawl fishery off northern Australia
No full textAn analytic Yeh-Feynman-Fourier transform and convolution
No full textLet C\sb0\lbrack0,T\rbrack denote Wiener space. Brue introduced the idea of an L\sp1 analytic Feynman-Fourier transform of functionals on C\sb0\lbrack0,T\rbrack in 1971. Since then many people including Cameron, Johnson, Martin, Skoug and Storvick have extended this theory to L\sp{p} with 1 p 2 for many classes of functionals. Recently, there has also been interest in convolution of functionals on C\sb0\lbrack0,T\rbrack and its relationship to the analytic Feynman-Fourier Transform. Let Q = (0,b) and let C\sb2\lbrack Q\rbrack = \{x(s,t): x is real valued, continuous on Q and x(0,t) = x(s,0) = 0. Yeh developed a measure m on this space and hence we will call C\sb2\lbrack Q\rbrack together with m, Yeh-Wiener Space. In this dissertation we will create an L\sp{p} analytic Yeh-Feynman-Fourier transform of functionals on C\sb2\lbrack Q\rbrack. Also a convolution product will be introduced for functionals on C\sb2\lbrack Q\rbrack. We then show that this transform and convolution product have many of the same properties as the Fourier transform of functions on \Re\sp{n}. That is, we show the inverse transform of the transform of a functional is the original functional. Also we show that the transform of the convolution equals the product of the transforms. Finally, we consider an identity similar to the Plancherel identity. In chapter one we give the basic definitions of Yeh-Wiener space, the analytic Yeh-Feynman-Fourier transform and convolution product. We then consider three classes of functionals on C\sb2\lbrack Q\rbrack. In chapter two we consider functionals of the form F(x) = f(x(s\sb1,t\sb1),x(s\sb1,t\sb2),\...,x(s\sb{m},t\sb{n})). Next, in chapter three we consider functionals of the form F(x) = \int\sb{Q}\int f(s,t,x(s,t)ds dt. Finally we consider functionals of the form F(x) = f(\int\int\sb{Q}\alpha\sb1dx(s,t),\...,\int \int \alpha\sb{n}dx(s,t)) in chapter four. We then close our work by giving a number of specific examples of the transform and its properties in chapter five
Scattering of Elastic Waves by A Buried Tunnel under Obliquely Incident Waves Using T Matrix
No full textErythrodes triantherae C. L. Yeh et C. S. Leou (Orchidaceae), a New Species Bearing 1-3 Anthers
No full text本文記述產自臺灣?嶼之新種?科植物「三藥細筆?」之學名、形態特徵、產地、花期及標本等資?。本種之主要特徵為花之蕊柱具有1~3 枚花藥，即有1 或2 枚雄蕊常在蕊柱腹面出現，唇瓣較小，長4.5～5.5 mm，基部囊?而無長距。對於本種之花藥?目之變?情形及對於果實發育之初步觀察結果亦加以註記。並提供臺灣Erythrodes 屬之新檢?表。A new species of Erythrodes Blume (Orchidaceae), E. triantherae C. L. Yeh et C. S. Leou, from Lanyu of Taiwan is described and illustrated. It is characterized by the column which is adorned with 1-3 anthers, I.e. additional 2 or 1 stamens often present on the ventral side of column and in the lip which is much shorter (4.5-5.5 mm long) and only saccate at base, not long spurred. Results of a preliminary observation on the variation of anther number, and on the development of fruits have also been noted. We also provide a new key to the species of Erythrodes in Taiwan
The Interaction and Volatility Asymmetry of Unexpected Returns in the Greater China Stock Markets
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