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187
Efficient similarity search in sequence databases
, 1994
"... We propose an indexing method for time sequences for processing similarity queries. We use the Discrete Fourier Transform (DFT) to map time sequences to the frequency domain, the crucial observation being that, for most sequences of practical interest, only the first few frequencies are strong. Anot ..."
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Cited by 515 (19 self)
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. Another important observation is Parseval's theorem, which specifies that the Fourier transform preserves the Euclidean distance in the time or frequency domain. Having thus mapped sequences to a lowerdimensionality space by using only the first few Fourier coe cients, we use Rtrees to index
On Squeezing And Flow Of Energy For Nonlinear Wave Equations
, 1995
"... . We study the nonlinear wave equation u  # 2 #u + f(u) = 0 under ndimensional periodic boundary conditions (n=1, 2, 3) in a Sobolev phasespace H s = H s H s1 (T n ) = {(u, u)(x)}. In [8] we interpreted the "energy transition to higher frequencies" problem for this ..."
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Cited by 9 (0 self)
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for this (and similar) equations as a squeezing: timet flow maps of the equation with large t "squeeze" rballs in H s to narrow cylinders formed by vectorfunctions such that the norms of their first Fourier coe#cients are less then some small #. We proved in [8] a version of Gromov's (non
On the Relation Between Fourier and Leont'ev Coe±cients with Respect to the Space AC(D)
"... Abstract. Yu. I. Mel'nik showed in [5] that under certain conditions the Leont'ev coe±cients ·f (¸) in the Dirichlet series f » ..."
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Abstract. Yu. I. Mel'nik showed in [5] that under certain conditions the Leont'ev coe±cients ·f (¸) in the Dirichlet series f »
Computations for Local Spline Approximation of Discontinuous Functions and Location of Discontinuities, Given Low Order Fourier Coe#cients
"... This report contains detailed listings of the computational procedures which support the results in [10]. The calculations are carried out using the Maple Computer Algebra System ([4],[3]), enhanced by the package for spline calculation described in [7]. There are a number of uses of symbols which a ..."
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This report contains detailed listings of the computational procedures which support the results in [10]. The calculations are carried out using the Maple Computer Algebra System ([4],[3]), enhanced by the package for spline calculation described in [7]. There are a number of uses of symbols which are defined in [10]: in most cases they are not redefined here. Some of the procedures, particularly the orthogonal projection routines, are new versions of codes which have been previously described in earlier technical reports. The di#erences are significant enough that we think it is appropriate to list the new versions here. The report also contains results of additional tests of the local approximation method which are not included in [10]. 2 Worksheets and scripts H
Exponential Approximations Using Fourier Series Partial Sums
, 1997
"... . The problem of accurately reconstructing a piecewise smooth, 2#periodic function f and its first few derivatives, given only a truncated Fourier series representation of f, is studied and solved. The reconstruction process is divided into two steps. In the first step, the first 2N + 1 Fourier co ..."
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coe#cients of f are used to approximate the locations and magnitudes of the discontinuities in f and its first M derivatives. This is accomplished by first finding initial estimates of these quantities based on certain properties of Gibbs phenomenon, and then refining these estimates by fitting
www.elsevier.com/locate/cam Connection coe!cients and zeros of orthogonal polynomials
, 1999
"... We discuss an old theorem of Obrechko1 and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coe!cients, zeros and Wronskians of orthogonal polynomials from the perspective of Obrechko1’s theorem. ..."
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We discuss an old theorem of Obrechko1 and some of its applications. Some curious historical facts around this theorem are presented. We make an attempt to look at some known results on connection coe!cients, zeros and Wronskians of orthogonal polynomials from the perspective of Obrechko1’s theorem
In°uence of Excited Molecules on Electron Swarm Transport Coe–cients and Gas Discharge Kinetics⁄
"... In this paper we study difierent efiects of excited molecules on swarm parameters, electron energy distribution functions and gas discharge modeling. First we discuss a possible experiment in parahydrogen to resolve the discrepancy in hydrogen vibrational excitation cross section data. Negative difi ..."
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In this paper we study difierent efiects of excited molecules on swarm parameters, electron energy distribution functions and gas discharge modeling. First we discuss a possible experiment in parahydrogen to resolve the discrepancy in hydrogen vibrational excitation cross section data. Negative
Optimal designs for estimating individual coecients in Fourier regression models
, 2000
"... Abstract In the common trigonometric regression model we i n vestigate the optimal design problem for the estimation of the individual coe cients, where the explanatory variable varies in the interval ;a a] 0 < a : It is demonstrated that the structure of the optimal design depends sensitively o ..."
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Cited by 4 (4 self)
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Abstract In the common trigonometric regression model we i n vestigate the optimal design problem for the estimation of the individual coe cients, where the explanatory variable varies in the interval ;a a] 0 < a : It is demonstrated that the structure of the optimal design depends sensitively
BOUNDARY SINGULARITIES OF FABER AND FOURIER SERIES
"... Abstract: Given an analytic Jordan curve;,withinterior G and exterior, and given a sequence of complex numbers fang1 n=0 satisfying lim sup n!1 janj 1=n =1,weconsider here three series of the form f(z) = 1X n=0 anPn(z)� where the polynomials Pn(z) are chosen to be (i) the Faber polynomials associate ..."
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associated with G, (ii) the polynomials orthogonal over the area of G, and (iii) the polynomials orthogonal over the contour;. Here, we study the nature of the singularities of f(z) in [;, for these three types of series, based solely on the coe cients fang 1 n=0. AMS 1980 Classi cation: primary 30B40, 41A58
Hydrodynamic Coe 伍 cients of Twin −Propeller Twin −Rudder Ship by Sahbi Khan 丘ek ， Stu（ient Me 皿 ib θr Kazuhiko Hasegawa ★ ， Me 丑 zber
, 2008
"... 澗 θ’乃04q ズ 妙 drOi 加 amic coefficients ， Manoeuvring simulation 1，1NTRODUCTION MMG modei is well known as a ma 血ematical medel fbr ship manoeuvrability ． Although it is originally designatcd f｛）r single −propeUer single −rudder ships ， some researchers have atternptod and suc ..."
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concerning the subject ship were available ， a method fbr estima しing thc coe 箇 cients is prepesed in order to identify thc mathematieal model of the suりject ship rcfしrring to the manoeuvring study of other multi ・propeiler multi ・rudd ¢ r model ships developed earlier by other
Results 1  10
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187