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  • 1
    Electronic Resource
    Electronic Resource
    A brain-specific activator of cyclin-dependent kinase 5 (1994)
    [s.l.] : Nature Publishing Group
    Nature 371 (1994), S. 423-426 
    Details
    ISSN: 1476-4687
    Source: Nature Archives 1869 - 2009
    Topics: Biology , Chemistry and Pharmacology , Medicine , Natural Sciences in General , Physics
    Notes: [Auszug] The catalytic subunit of the neuronal Cdc2-like kinase has been isolated previously9'11 13. Using the polymerase chain reaction (PCR), we have now cloned the p25 regulatory subunit by 3'- and 5'-RACE (rapid amplification of cDNA ends). The longest PCR fragment isolated did not extend to an ...
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1038/371423a0
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  • 2
    Electronic Resource
    Electronic Resource
    On the Darling-Mandelbrot probability density and the zeros of some incomplete gamma functions (1994)
    Springer
    Constructive approximation 10 (1994), S. 15-30 
    Details
    ISSN: 1432-0940
    Keywords: 33E70 ; 41A60 ; 60E99 ; Incomplete gamma function ; Confluent hypergeometric function ; Darling-Mandelbrot probability density ; Asymptotic zeros ; Zeros
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Recently, Mandelbrot has encountered and numerically investigated a probability densityp d (t) on the nonnegative reals, where, 0〈D〈1. This density has Fourier transform 1/f d (-is), wheref d (z)=−Dz d γ(−D, z) and γ(·.·) is an incomplete gamma function. Previously, Darling had met this density, but had not studied its form. We expressf d (z) as a confluent hypergeometric function, then locate and approximate its zeros, thereby improving some results of Buchholz. Via properties of Laplace transforms, we approximatep d (t) asymptotically ast→0+ and +∞, then note some implications asD→0+ and 1−.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01205164
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  • 3
    Electronic Resource
    Electronic Resource
    A functional equation of Ih-Ching Hsu (1989)
    Springer
    Aequationes mathematicae 38 (1989), S. 146-154 
    Details
    ISSN: 1420-8903
    Keywords: Primary 39B40
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A recent note of Ih-Ching Hsu poses an unsolved problem, to wit, the general solution of the functional equation g(x1, x2) + g(φ1(x1), φ2(x2)) = g(x1, φ2(x2)) + g(φ1(x1),x2), where the φi are given functions. This short paper obtains the general solution. It gives conditions which imply that anycontinuous solution has form g1(x1) + g2(x2).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01840000
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  • 4
    Electronic Resource
    Electronic Resource
    Polynomial approximations to functionals in the theory of materials with memory (1966)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 17 (1966), S. 692-699 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Résumé Pour une substance dotée de mémoire, on peut quelquefois déterminer approximativement, d'une manière utile, la valeur fonctionelle Φ, qui relie l'effort à l'histoire de la dóformation, par un polynôme aux éléments d'un espaceL de formes linéaires sur l'espaceF des histoires. Cette étude prolonge un résultat obtenu parChacon etRivlin, afin de démontrer comme possible une telle approximation dans tout ensemble borné pour la topologie donnée surF, et pour toute valeur fonctionelle Φ uniformément continue pour la topologie faible définie parL surF.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01595107
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  • 5
    Electronic Resource
    Electronic Resource
    Reducibility of matrix polynomials and their traces (1967)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 18 (1967), S. 289-293 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Résumé Pour des variables matriciellesn x n, nous démontrons la réductibilité en degré de certains produits et de leurs traces, afin de généraliser au delà des dimensions 2 ou 3 quelques résultats employés parRivlin, Smith etSpencer, pour extraire une base d'intégrité orthogonale des tenseurs symétriques. En particulier, pourn≥3, nous démontrons la réductibilité en degré de tout produit de 2 n –1 matrices et de la trace de tel produit.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01596920
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  • 6
    Electronic Resource
    Electronic Resource
    The generalized Cayley-Hamilton theorem inn dimensions (1966)
    Springer
    Zeitschrift für angewandte Mathematik und Physik 17 (1966), S. 650-653 
    Details
    ISSN: 1420-9039
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Résumé Pour tout nombre entier positifn, cette étude tire la forme explicite de l'identité enn matrices, chacunen×n, qu'on obtient par la polarisation complète du théorème familier deCayley-Hamilton, et qu'on emploie à plusieurs reprises, avecn=2 ou 3, pour déterminer une base d'intégrité des tenseurs symétriques.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01597249
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  • 7
    Electronic Resource
    Electronic Resource
    The generalizedD [X] /D/1 queue: A flexible computer communications model (1996)
    Springer
    Telecommunication systems 6 (1996), S. 127-146 
    Details
    ISSN: 1572-9451
    Source: Springer Online Journal Archives 1860-2000
    Topics: Electrical Engineering, Measurement and Control Technology
    Notes: Abstract A generalization of theD [X] /D/1 queue is investigated, where independent and identically distributed (i.i.d) batches of customers arrive at a single-server queue periodically. The service requirement of a customer is a fixed constant equal for all the customers. In the time between two successive arrivals, the server can accommodate exactlyK≥1 customers. The queue size and the waiting time distributions for the infinite buffer queue are derived. Important numerical aspects are addressed and simple approximations for light and heavy traffic for various values ofK and Poisson distributed batches are proposed. Finally, the analysis for the finite queue is highlighted and its blocking probability derived.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02114290
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  • 8
    Electronic Resource
    Electronic Resource
    Extension of a local diffeomorphism (1967)
    Springer
    Archive for rational mechanics and analysis 26 (1967), S. 400-402 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00281642
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  • 9
    Electronic Resource
    Electronic Resource
    Asymptotic expansion of a class of integral transforms via Mellin transforms (1969)
    Springer
    Archive for rational mechanics and analysis 35 (1969), S. 382-396 
    Details
    ISSN: 1432-0673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract An asymptotic expansion for large λ of functions I(λ) defined by definite integrals of the form $$I(\lambda ) = \mathop \smallint \limits_0^\infty h(\lambda t)f(t)dt$$ is obtained in the case where h(t)=O(exp(-βt p )) as t→∞ with β, ϱ〉0. To obtain the expansion for such integral transforms, I(λ) is first represented as a contour integral involving M [h; z], the Mellin transform of the kernel h(t) evaluated at z, and M[f; 1-z], the Mellin transform of the function f(t) evaluated at 1-z. By assuming a rather general asymptotic expansion for f(t) near t=0, it is shown that M[f; 1-z] can be continued into the right-half plane as a meromorphic function with poles that can be located and classified. The desired asymptotic expansion of I is then obtained by systematically moving the contour in its integral representation to the right. Each term in the expansion arises as a residue contribution corresponding to a pole of M[f; 1-z]. It is then shown how the expansion, originally found for large positive λ, can be extended to complex λ. Finally several examples are considered which illustrate the scope of our expansion theorems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00247684
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  • 10
    Electronic Resource
    Electronic Resource
    p34cdc2 Kinase is localized to distinct domains within the mitotic apparatus (1990)
    New York, NY : Wiley-Blackwell
    Cell Motility and the Cytoskeleton 17 (1990), S. 227-235 
    Details
    ISSN: 0886-1544
    Keywords: mitosis ; kinetochores ; cell division cycle ; protein phosphorylation ; Life and Medical Sciences ; Cell & Developmental Biology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Medicine
    Notes: Antibodies to both the C-terminal and the N-terminal regions of the 34 kd serinethreonine specific protein kinase, p34cdc2, were used to study the distribution of this protein in dividing cells and isolated chromosomes of the Indian muntjac. p34cdc2 was found to be present throughout the cytoplasm of dividing cells. In addition, a portion of cellular p34cdc2 was localized to the centrosome, kinetochore, and intercellular bridge and along kinetochore-to-pole microtubules during cell division. Tubulin-denuded metaphase kinetochores retained their association with p34cdc2. The detection of p34cdc2 within a variety of domains of the mitotic apparatus, in addition to the previous reported association with the centrosome [Bailly et al., EMBO J. 8:3985-3995, 1989; Raibowol et al., Cell 57:393-401, 1989] suggests that p34cdc2 may play a role in events associated with anaphases A and B as well as with the transition between interphase and mitosis.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cm.970170309
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