elementary recursion theory and its applications to formal systems - saul kripke

... made. ELEMENTARY RECURSION THEORY AND ITS APPLICATIONS TO FORMAL SYSTEMS By Professor Saul Kripke Department of Philosophy, Princeton UniversityNotes by Mario Gómez-Torrente,revising and expanding ... relations and of recursive sets.This is in contrast to the situation in the topologies of the real line and the plane. Cantordiscovered that there is a one -to- one function from the real line onto ... exactly the λ-definable functions. This is Church’s Elementary Recursion Theory. Preliminary Version Copyright © 1996 by Saul Kripke 10thesis in its original form. It states that a certain formal...

distillation theory and its application to optimal design of separation units

... mixture of acetone(1)-benzene(2)-chloroform(3)-toluene(4), determine thelocation of the boundary between distillation regions.2. For a given feed point xFin the product simplex 1-1 3-2 -4 for themixture ... product ortrajectory tear-off segment of top sectionthick black segment possible composition of bottom product ortrajectory tear-off segment of bottom sectiongray segment tear-off segment of ... h)K2K2K2K1K2K1K1K2xL1xL2AzxL1xL2xL2xL1AzxL2xL1AzxL2xL1xL1xL2AzK2K1K2K1yx-T x-y-Kx-yx-T x-y-Kx-Figure 1.2. Phase equilibrium of binary mixtures: (a) ideal mixture;(b) nonideal...

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wavelet theory and its application to pattern recognition 2000

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Đề tài " Sum rules for Jacobi matrices and their applications to spectral theory " pdf

... left-hand side is also ﬁnite and LHS ≤ RHS.Theorem 6. If µ is a probability measure that obeys the Blumenthal-Weyl criterion and the left-hand side of (1.23) is ﬁnite, then the right-handside ... E(z))−1C1/2.Then, as a Hilbert-Schmidt operator-valued function, A(z) extends continu-ously to ¯D \{−1, 1}.If(2.40)nncn< ∞,it has a Hilbert-Schmidt continuation to ¯D.Proof. Let Anm(z)bethe ... [7] papers, and in Section 4, a second proof implementing tool (2) above.Section 5 discusses the Szeg˝o and quasi-Szeg˝ointegrals as entropies and theassociated semicontinuity, and Section...

Hydraulic modeling of open channel flows over an arbitrary 3-d surface and its applications in amenity hydraulic engineering

... research topic, and provided guidance, constant and kind advices, encouragement throughout the research, and above all, giving me a chance to study and work at a World-leading university as Kyoto ... especially when the width -to- depth ratio is large and the vertical variation of the mean-flow quantities is not significant due to strong vertical mixing induced by the bottom shear stress. Based ... should go to Professor Toda Kei ichi and Associate Professor Gotoh Hitoshi for their valuable commences and discussions that improved much this manuscript. I am very very grateful to my best...

Development of the Quantitative PCR Method for Candidatus ‘Accumulibacter phosphatis’ and Its Application to Activated Sludge

... of Tokyo, 5-1 -5 Kashiwanoha, Kashiwa, Chiba 27 7-8 563, Japan (E-mail: fukushima@mw.k.u-tokyo.ac.jp) ** Integrated Research System for Sustainability Science, The University of Tokyo, 7-3 -1 ... Quantitative PCR Method for Candidatus ‘Accumulibacter phosphatis’ and Its Application to Activated Sludge Toshikazu Fukushima*, Naoki Uda*, Motoharu Onuki**, Hiroyasu Satoh* and Takashi Mino* ... quantification results of laboratory-scale and full-scale activated sludge by the quantitative PCR method and by the FISH method, and their correlation. The results from laboratory-scale activated sludge...

Real-Time Digital Signal Processing - Chapter 7: Fast Fourier Transform and Its Applications

... 7318FAST FOURIER TRANSFORM AND ITS APPLICATIONS 7.2.2 Decimation-in-FrequencyThe development of the decimation-in-frequency FFT algorithm is similar to thedecimation-in-time algorithm presented ... at 8 kHz. The 128-point FFT is performed to compute X(k). Atwhat frequency indices k we expect to observe any peaks in jXkj?12. A touch-tone phone with a dual-tone multi-frequency (DTMF) ... algorithms: decimation-in-time and decimation-in-frequency. In the decimation-in-time algorithm, the input time sequence is successivelydivided up into smaller sequences, and the DFTs of these...

Tài liệu 555 Timer And Its Applications ppt

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Tài liệu Báo cáo khoa học: "Organizing Encyclopedic Knowledge based on the Web and its Application to Question Answering" ppt

... question, and uses linguistic ex-pressions and HTML layouts to extract fragments de-scribing the term. They also use a language model to discard non-linguistic fragments. In addition, a clus-tering ... symbol), and then used theCMU-Cambridge toolkit (Clarkson and Rosenfeld,1997) to model a word-based trigram.Consequently, descriptions in which word se-quences are more similar to those in ... question,random choice can be performed to improve the cov-erage to 100%. Thus, for each knowledge resource wecompared cases without/with random choice, whichare denoted “w/o Random” and “w/ Random”...

Tài liệu Báo cáo khoa học: "AUTOMATIC SPEECH RECOGNITION AND ITS APPLICATION TO INFORMATION EXTRACTION" pdf

... recognition", Proc. ESCA-NATO Workshop on Robust Speech Recognition for Unknown Communication Channels, Pont-a-Mousson, France, pp. 1 1-2 0 (1997) [ 15] C. J. Leggetter and P. C. Woodland: "Maximum ... S. Harris: "Co-occurrence and transformation in linguistic structure", Language, 33, pp. 28 3- 340 (1957) 20 AUTOMATIC SPEECH RECOGNITION AND ITS APPLICATION TO INFORMATION EXTRACTION ... of Computer Science Tokyo institute of Technology 2-1 2-1 , Ookayama, Meguro-ku, Tokyo, 15 2-8 552 Japan furui@cs.titech.ac.jp ABSTRACT This paper describes recent progress and the author's...

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