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  • Springer  (136)
  • American Physical Society  (30)
  • International Union of Crystallography  (17)
  • Blackwell Science Ltd
  • 2000-2004
  • 1990-1994  (183)
  • 1993  (106)
  • 1991  (77)
  • 1
    Electronic Resource
    Electronic Resource
    Sums of cubes of square-free numbers (1991)
    Springer
    Monatshefte für Mathematik 111 (1991), S. 1-21 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Almost all positive integers may be represented as the sum of four cubes of positive square-free integers.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01299273
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  • 2
    Electronic Resource
    Electronic Resource
    Sums of cubes of square-free numbers II (1991)
    Springer
    Monatshefte für Mathematik 112 (1991), S. 177-207 
    Details
    ISSN: 1436-5081
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Letr s (n) denote the number of representations ofn as the sum ofs cubes of square-free numbers. We prove an asymptotic formula forr s (n) and a strong lower bound forr 7 (n).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01297338
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  • 3
    Electronic Resource
    Electronic Resource
    Antiproton-proton annihilation at rest into two-body final states (1993)
    Springer
    The European physical journal 58 (1993), S. 175-189 
    Details
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract We report measurements of branching ratios for production of a series of two meson final states in $$\bar p$$ p annihilations at rest in liquid hydrogen. We find: $$\begin{gathered} BR(\bar pp \to \pi ^ + \pi ^ - ) = (3.07 \pm 0.13) \cdot 10^{ - 3} \hfill \\ BR(\bar pp \to K^ + K^ - ) = (0.99 \pm 0.05) \cdot 10^{ - 3} \hfill \\ BR(\bar pp \to \pi ^0 \pi ^0 ) = (6.93 \pm 0.43) \cdot 10^{ - 4} \hfill \\ BR(\bar pp \to \pi ^0 \eta ) = (2.12 \pm 0.12) \cdot 10^{ - 4} \hfill \\ BR(\bar pp \to \pi ^0 \omega ) = (5.73 \pm 0.47) \cdot 10^{ - 3} \hfill \\ BR(\bar pp \to \pi ^0 \eta ') = (1.23 \pm 0.13) \cdot 10^{ - 4} \hfill \\ BR(\bar pp \to \eta \eta ) = (1.64 \pm 0.10) \cdot 10^{ - 4} \hfill \\ BR(\bar pp \to \eta \omega ) = (1.51 \pm 0.12) \cdot 10^{ - 2} \hfill \\ BR(\bar pp \to \eta \eta ') = (2.16 \pm 0.25) \cdot 10^{ - 4} \hfill \\ BR(\bar pp \to \omega \omega ) = (3.32 \pm 0.34) \cdot 10^{ - 2} \hfill \\ BR(\bar pp \to \omega \eta ') = (0.78 \pm 0.08) \cdot 10^{ - 2} \hfill \\ \end{gathered}$$ These are the first measurements of the channels ηη′ and ωη′ and in almost all the other channels are more precise than previous results. We also obtain, in a more precise fashion, the following ratios of branching ratios:K + K −/π+π−=0.323±0.013, π0η′/π0η=0.548±0.056, ηη′/ηη=0.31±0.15, ωη′/ωη=0.515±0.040, π0η/π0π0=0.303±0.010, ηη/π0π0=0.232±0.011 and π0ω/ηω=0.377±0.12. The measurements are made for different η and η′ decays, and we thus obtain Γη→3π 0/Γη→γγ=0.841±0.034, and $$\Gamma _{\eta ' \to \gamma \gamma } /\Gamma _{\eta ' \to \pi ^0 \pi ^0 \eta } = 0.091 \pm 0.009$$ .
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01560336
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  • 4
    Electronic Resource
    Electronic Resource
    Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations (1993)
    Springer
    Advances in computational mathematics 1 (1993), S. 367-394 
    Details
    ISSN: 1572-9044
    Keywords: Delay differential equation ; parallel continuous explicit Runge-Kutta methods ; vanishing lag ; iterated continuous extensions ; primary 65Q05
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract We present an explicit Runge-Kutta scheme devised for the numerical solution ofdelay differential equations (DDEs) where a delayed argument lies in the current Runge-Kutta interval. This can occur when the lag is small relative to the stepsize, and the more obvious extensions of the explicit Runge-Kutta method produce implicit equations. It transpires that the scheme is suitable forparallel implementation for solving both ODEs and more general DDEs. We associate our method with a Runge-Kutta tableau, from which the order of the method can be determined. Stability will affect the usefulness of the scheme and we derive the stability equations of the scheme when applied to the constant-coefficient test DDEu′(t)=λu(t) +μu(t −τ), where the lagτ and the Runge-Kutta stepsizeH n ≡H are both constant. (The caseμ=0 is treated separately.) In the case thatμ ≠ 0, we consider the two distinct possibilities: (i)τ ≥H and (ii)τ〈H.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02072017
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  • 5
    Electronic Resource
    Electronic Resource
    On a functional equation of Aczél and Chung (1993)
    Springer
    Aequationes mathematicae 46 (1993), S. 99-111 
    Details
    ISSN: 1420-8903
    Keywords: Primary 39B30, 39B70 ; Secondary 46F99
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary This paper is concerned mainly with the functional equation (1) $$\sum\limits_{\imath = 0}^m {F_\imath (\alpha _\imath ,x + \beta _i y)} = \sum\limits_{k = 1}^n {G_k (x)H_k (y)} $$ which is a generalization of the Levi-Civita equation (2) $$f(x + y) = \sum\limits_{k = 1}^N {g_k (x)h_k (y).} $$ For complex valued functions of a real variable, Aczél and Chung [1] have shown that (under certain additional natural assumptions) the locally Lebesgue integrable solutions of (1) are exponential polynomials. Jarai [6] has shown that the local integrability assumption can be weakened to measurability. Our aim is to solve distributional analogues of (1) and (2) and thereby obtain another generalization of the result of Aczél and Chung. Essentially, we will show that (1) can be reduced to (2).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01834001
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  • 6
    Electronic Resource
    Electronic Resource
    Response of single antennal neurons of female cabbage loopers to behaviorally active attractants (1993)
    Springer
    Naturwissenschaften 80 (1993), S. 183-186 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01226381
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  • 7
    Electronic Resource
    Electronic Resource
    Differential adaptation rates in a male moth's sex pheromone receptor neurons (1991)
    Springer
    Naturwissenschaften 78 (1991), S. 517-520 
    Details
    ISSN: 1432-1904
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Chemistry and Pharmacology , Natural Sciences in General
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01131403
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  • 8
    Electronic Resource
    Electronic Resource
    Detection limits of organochlorine pesticides and related compounds in blood serum (1991)
    Springer
    Bulletin of environmental contamination and toxicology 47 (1991), S. 499-503 
    Details
    ISSN: 1432-0800
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Medicine
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01700936
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  • 9
    Electronic Resource
    Electronic Resource
    Decomposition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems (1991)
    Springer
    Computing 47 (1991), S. 169-191 
    Details
    ISSN: 1436-5057
    Keywords: Primary: 65H10 ; secondary: 65G10 ; Nonlinear algebraic systems ; interval arithmetic ; automatic differentiation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Intervalliterationen können in Verbindung mit anderen Verfahren verwendet werden, um alle Lösungen eines nichlinearen Gleichungsystems in einem gegebenen Gebiet mit Sicherheit abzuschätzen, und auch um Approximationen der Lösungen solcher Systeme zu verifizieren. Die Abschätzungen in den Verfahren sind jedoch manchmal nicht hinreichend genau, da Überschätzungen in der Berechnung und in dem Gebrauch der Invervall-Jacobi Matrix auftreten. In der vorliegenden Arbeit werden Intervalliterationen auf einem erweiterten Gleichungssystem behandelt. In diesem System gibt es keine Überschätzungen der Einzelkomponenten der Intervall-Jacobi Matrix, und für die Nichtlinearitären können Abschätzungen angegeben werden. Anhand eines Beispiels wird die Wirkungsweise der behandelten Algorithmen demonstriert.
    Notes: Abstract Interval iteration can be used, in conjunction with other techniques, for rigorously bounding all solutions to a nonlinear system of equations within a given region, or for verifying approximate solutions. However, because of overestimation which occurs when the interval Jacobian matrix is accumulated and applied, straightforward linearization of the original nonlinear system sometimes leads to nonconvergent iteration. In this paper, we examine interval iterations based on an expanded system obtained from the intermediate quantities in the original system. In this system, there is no overestimation in entries of the interval Jacobi matrix, and nonlinearities can be taken into account to obtain sharp bounds. We present an example in detail, algorithms, and detailed experimental results obtained from applying our algorithms to the example.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02253433
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  • 10
    Electronic Resource
    Electronic Resource
    Applications of the virtual charge model to the electronic structures and spectra of benzaldehyde and acetophenone (1991)
    Springer
    Monatshefte für Chemie 122 (1991), S. 349-358 
    Details
    ISSN: 1434-4475
    Keywords: Virtual charge model ; Electronic structures ; Electronic spectra ; CNDO/S-CI calculations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Description / Table of Contents: Zusammenfassung Das „Virtual-Charge“-Modell (Tapia-Modell) im Zusammenhang mit der CNDO/S-CI-Näherung im Rahmen der SCF-MO-Theorie wurde zum Studium der Lösungsmitteleffekte auf die Elektronenstrukturen und Spektren von Benzaldehyd und Acetophenon herangezogen. Die CNDO/S-Rechnungen bei Anwesenheit von Solvens erlauben eine befriedigende Interpretation der Mediumeffekte auf Elektronenstrukturen und Spektren der untersuchten Verbindungen. Die aus MO-Rechnungen folgenden Voraussagen ergeben auf Basis des Tapia-Modells solvatochrome Verschiebungen für die n → π*- und π → π*-Übergänge. Die vorausgesagten Effekte stehen im Einklang mit den experimentell beobachteten Trends: Blauverschiebung für die n → π*-Bande und Rotverschiebung für die π → π*-Bande beim Wechsel von nichtpolarem zu polarem Lösungsmittel.
    Notes: Summary The virtual charge model (Tapia model) in conjunction with the CNDO/S-CI approximation in the frame of SCF-MO theory was employed to study the effects of solvent on the electronic structures and spectra of benzaldehyde and acetophenone molecules. The CNDO/S calculations in presence of solvation indicate a satisfactory interpretation of the medium effects on the electronic structures and spectra of the molecules investigated. The prediction of our MO calculations by means of the Tapia model concerning the solvochromic shifts of n → π* and π → π* transitions are in accord with the observed trends which indicate a blue shift for the n → π* band and a red shift for the π → π* band upon a change of solvent from non-polar to polar solvents.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00809656
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