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  • Articles  (111)
  • 1990-1994  (111)
  • Mathematics  (111)
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  • Articles  (111)
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  • 1
    Electronic Resource
    Electronic Resource
    Beltrami algebra and symmetry of the Beltrami equation on Riemann surfaces (1990)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 2543-2547 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: It is shown that the Beltrami equation has an infinite-dimensional symmetry, namely the Beltrami algebra, on its solution spaces. The Beltrami algebra with central extension and its supersymmetric version are explicitly found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.528999
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  • 2
    Electronic Resource
    Electronic Resource
    The potential constraints of the KP system and the corresponding Hamiltonian equations (1994)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 35 (1994), S. 4725-4738 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In this paper all the potential constraints (with or without first-order partial derivatives) of the KP system, from which the associated linear problem can be restricted into a (1+1)-dimensional Hamiltonian equation, are obtained by using the sufficient and necessary condition for a nonlinear equation to be a Hamiltonian system. Some well-known integrable systems, such as (1+1)-dimensional AKNS system, generalized NS system, and several new Hamiltonian equations, are deduced as particular examples.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530810
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  • 3
    Electronic Resource
    Electronic Resource
    Irreducible representations of braid groups (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 2660-2663 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The irreducible representations of the braid groups, described by the Young patterns, are obtained in terms of a set of commutant operators. The relations between our representations and the monodromy representations based on the minimal representation of the quantum enveloping algebra Uqsl(2) are discussed briefly.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529586
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  • 4
    Electronic Resource
    Electronic Resource
    The embedding problem for predistance matrices (1991)
    Springer
    Bulletin of mathematical biology 53 (1991), S. 769-796 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A fundamental problem in molecular biology is the determination of the conformation of macromolecules from NMR data. Several successful distance geometry programs have been developed for this purpose, for example DISGEO. A particularly difficult facet of these programs is the embedding problem, that is the problem of determining those conformations whose distances between atoms are nearest those measured by the NMR techniques. The embedding problem is the distance geometry equivalent of the multiple minima problem, which arises in energy minimization approaches to conformation determination. We show that the distance geometry approach has some nice geometry not associated with other methods that allows one to prove detailed results with regard to the location of local minima. We exploit this geometry to develop some algorithms which are faster and find more minima than the algorithms presently used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461553
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  • 5
    Electronic Resource
    Electronic Resource
    Nonlinear forecasting of hepatitis and AIDS incidence (1994)
    Springer
    Bulletin of mathematical biology 56 (1994), S. 863-873 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The simplex methods of nonlinear forecasting are used to study the data sets of hepatitis A and AIDS in various regions of the United States. The results are compared with those obtained from the traditional ARIMA methods. In many regions, the simplex methods developed from nonlinear dynamical system theory give smaller errors for the data of hepatitis A. A combination of the simplex methods and the traditional ARIMA methods can produce better results for the AIDS data sets.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02458271
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  • 6
    Electronic Resource
    Electronic Resource
    Infinite dimensional holomorphy via categorical differential calculus (1991)
    Springer
    Monatshefte für Mathematik 111 (1991), S. 55-68 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We establish that the category of hological spaces is equipped for calculus with complex scalars. This provides a theory of infinite dimensional holomorphy which allows maps to have nonconvex domains with empty interior. Some relatively elementary functions, hitherto excluded by the restrictive definitions of other theories, emerge as holomorphic maps.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01299277
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  • 7
    Electronic Resource
    Electronic Resource
    Optimum bandwidths and kernels for estimating certain discontinuous densities (1992)
    Springer
    Annals of the Institute of Statistical Mathematics 44 (1992), S. 563-577 
    Details
    ISSN: 1572-9052
    Keywords: Estimation of discontinuous densities ; alternative notions of IMSE ; modified kernel density estimates ; optimal bandwidths ; optimal kernels
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Rosenblatt and Parzen proposed a well-known estimator f n for an unknown density function f, and later Schuster suggested a modification % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaybyaeqale% qabaGaaiOxaaqdbaGaamOzaaaaaaa!3851!\[\mathop f\limits^\^ \] n to rectify certain drawbacks of f n . This paper gives the asymptotically optimum bandwidth and kernel for % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaybyaeqale% qabaGaaiOxaaqdbaGaamOzaaaaaaa!3851!\[\mathop f\limits^\^ \] n under the standard measure of IMSE when f is discontinuous at one or both endpoints of its support. We also consider an alternative definition of the IMSE under which the optimum bandwidths and kernels for % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn% hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr% 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9% vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x% fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaybyaeqale% qabaGaaiOxaaqdbaGaamOzaaaaaaa!3851!\[\mathop f\limits^\^ \] n and f n are derived. The latter supplement van Eeden's results.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00050706
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  • 8
    Electronic Resource
    Electronic Resource
    A comparison theorem for almost lie foliations (1991)
    Springer
    Annals of global analysis and geometry 9 (1991), S. 61-66 
    Details
    ISSN: 1572-9060
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02411355
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  • 9
    Electronic Resource
    Electronic Resource
    Bivariate Bonferroni inequalities (1992)
    Springer
    Aequationes mathematicae 44 (1992), S. 220-225 
    Details
    ISSN: 1420-8903
    Keywords: Primary 60E15 ; Secondary 60C05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary LetA 1,A 2, ⋯,A m ,C 1,C 2, ⋯,C n be events on a given probability speace. LetV m andU n , respectively, be the numbers among theA i 's andC j 's which occur.Upper and lower bounds ofP(V m ⩾1, U n ⩾1) are obtained by means of the bivariate binomial moments. These extend recent univariate optimal Bonferroni-type inequalities.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01830980
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  • 10
    Electronic Resource
    Electronic Resource
    An intrinsic rigidity theorem for minimal submanifolds in a sphere (1992)
    Springer
    Archiv der Mathematik 58 (1992), S. 582-594 
    Details
    ISSN: 1420-8938
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01193528
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