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  • 1
    Electronic Resource
    Electronic Resource
    An elementary algebraic representation of polynomial spline interpolants for equidistant lattices and its condition (1986)
    Springer
    Numerische Mathematik 49 (1986), S. 55-65 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65D07 ; CR: G1.1
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary A customary representation formula for periodic spline interpolants contains redundance which, however, can be eliminated by a transcendent method. We use an elementary indentity for the generalized Euler-Frobenius-polynomials, which seems to be unknown until now, in order to derive the theory by purely algebraic arguments. The general cardinal spline interpolation theory can be obtained from the periodic case by a simple approach to the limit. Our representation has minimum condition for odd/even degree if the interpolation points are the lattice (mid-)points. We evaluate the corresponding condition numbers and give an asymptotic representation for them.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01389429
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  • 2
    Electronic Resource
    Electronic Resource
    Optimal interval refinement near singularities (1988)
    Springer
    Numerische Mathematik 53 (1988), S. 411-422 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS): 65 D 15 ; CR: G 1.2
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The approximability of a real analytic function on the standard interval [−1, 1] by polynomials depends essentially only on the size of its ellipse of analyticity. If the interval is subdivided byn+1 points, the same holds for each subinterval. For a fixed singularity, it becomes a purely geometric question to find how the partition has to be chosen such that the worst rate of approximation attains its minimum. We prove that for anyn their exists a unique optimal partition, which solves a nonlinear difference equation. We give an asymptotic expression for it.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396326
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  • 3
    Electronic Resource
    Electronic Resource
    Cardinal Hermite-spline-interpolation on the equidistant lattice (1989)
    Springer
    Numerische Mathematik 56 (1989), S. 345-357 
    Details
    ISSN: 0945-3245
    Keywords: AMS(MOS) ; 65D07 ; CR: G1.2
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Summary The theory of Hermite-spline interpolation on the equidistant latticeZ is written in purly real terms and this for an arbitrary polynomial degree, Hermitian order and node-shift parameter. An explicit representation formula for the Hermitian fundamental splines (Lagrangians) is presented and the convergence of the corresponding Lagrange-series is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01396609
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  • 4
    Electronic Resource
    Electronic Resource
    A Remez-type algorithm for the calculation of extremal fundamental systems for polynomial spaces on teh sphere (1986)
    Springer
    Computing 37 (1986), S. 43-58 
    Details
    ISSN: 1436-5057
    Keywords: 65D05 ; 65D32 ; Interpolation on the sphere ; surface integration formulae
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Extremale Fundamentalsysteme sind Knotensysteme für welche die Lagrange-Elemente minimale Norm annehmen, die dann Eins ist. Der Definition nach sind ihre Punkte also nicht unterschieden, diese sind also in einem gewissen Sinn „gleichverteilt”. Der Berechnung extremaler Fundamentalsysteme dient ein Algorithmus vom Remez-Typ in Verbindung mit dem Newton-Verfahren, die Methode wird auf die wichtigsten Polynomräume angewendet.
    Notes: Abstract Extremal fundamental systems are nodal systems for which the Lagrangians have minimal norm which then is one. Hence they consist of points not distinguished one against another by definition, they are “equidistributed”, in some sense. The calculation of extremal fundamental systems can be performed by a Remez-type algorithm in combination with Newton's method, the method is applied to the most interesting polynomial spaces.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02252733
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  • 5
    Electronic Resource
    Electronic Resource
    Numerische Berechnung extremaler Fundamentalsysteme für Polynomräume über der Vollkugel (1989)
    Springer
    Computing 43 (1989), S. 37-45 
    Details
    ISSN: 1436-5057
    Keywords: 65 D 05 ; 65 D 32 ; Interpolation on the ball ; cubature formulae
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Abstract Extremal fundamental systems are nodal systems with a small Lebesgue-constant (≤dimension). An exchange algorithm for their calculation in case of polynomial interpolation over the unit ballB r is realized. ForB 3 and algebraic degree 6, a system consisting of 84 nodes and with a Lebesgue-constant 〈26 is documented, the corresponding cubature leading to a relative error of ≈10−8 in case of analytic functions.
    Notes: Zusammenfassung Extremale Fundamentalsysteme sind Knotensysteme mit kleiner Lebesgue-Konstante (≤Dimension). Hier wird ein Austauschalgorithmus zu ihrer Berechnung für die Polynominterpolation über der VollkugelB r konkretisiert. Für dieB 3 und den Polynomgrad 6 wird ein aus 84 Knoten bestehendes System mit Lebesgue-Konstanten 〈26 numerisch angegeben. Die zugehörige Kubatur führt bei analytischen Funktionen auf einen relativen Fehler ≈10−8.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02243804
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  • 6
    Electronic Resource
    Electronic Resource
    Coding of sinusoidally amplitude modulated acoustic stimuli in the inferior colliculus of the rufous horseshoe bat,Rhinolophus rouxi (1987)
    Springer
    Journal of comparative physiology 161 (1987), S. 305-313 
    Details
    ISSN: 1432-1351
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary Single neuron responses to sinusoidally amplitude modulated (SAM) signals were studied in the inferior colliculus of the horseshoe bat,Rhinolophus rouxi. 57% of the neurons responded to SAM stimuli with periodical discharges synchronized to the modulation cycle. The proportion of cells driven by amplitude modulated signals was independent of the best frequency of the neurons. Best modulation frequencies were at or below 100 Hz in about 70% of the neurons. Synchronized activity could be elicited by modulation frequencies up to 400 Hz. Best SAM responses were observed at stimulus intensities 10 dB above threshold. Generally the BMF of a neuron did not change with intensity. The BMF decreased with decreasing modulation depth of the amplitude modulation. A trend for a topographical organization of neurons according to best modulation frequencies was detected. The results did not reveal any significant specialization of the bat's auditory system for coding of amplitude modulations as compared to other mammals.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00615250
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  • 7
    Electronic Resource
    Electronic Resource
    Nucleolar changes after microinjection of antibodies to RNA polymerase I into the nucleus of mammalian cells (1988)
    Springer
    Chromosoma 97 (1988), S. 115-123 
    Details
    ISSN: 1432-0886
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Abstract After microinjection of antibodies against RNA polymerase I into the nuclei of cultured rat kangaroo (PtK2) and rat (RVF-SMC) cells alterations in nucleolar structure and composition were observed. These were detected by electron microscopy and double-label immunofluorescence microscopy using antibodies to proteins representative of the three major components of the nucleolus. The microinjected antibodies produced a progressive loss of the material of the dense fibrillar component (DFC) from the nucleoli which, at 4 h after injection, were transformed into bodies with purely granular component (GC) structure with attached fibrillar centers (FCs). Concomitantly, numerous extranucleolar aggregates appeared in the nucleoplasm which morphologically resembled fragments of the DFC and contained a protein (fibrillarin) diagnostic for this nucleolar structure. These observations indicate that the topological distribution of the material constituting the DFC can be experimentally influenced in interphase cells, apparently by modulating the transcriptional activity of the rRNA genes. These effects are different from nucleolar lesions induced by inhibitory drugs such as actinomycin D-dependent “nucleolar segregation”. The structural alterations induced by antibodies to RNA polymerase I resemble, however, the initial events of nucleolar disintegration during mitotic prophase.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00327368
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  • 8
    Electronic Resource
    Electronic Resource
    Transport and storage of CO2 in the ocean ——an inorganic ocean-circulation carbon cycle model (1987)
    Springer
    Climate dynamics 2 (1987), S. 63-90 
    Details
    ISSN: 1432-0894
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Inorganic carbon in the ocean is modelled as a passive tracer advected by a three-dimensional current field computed from a dynamical global ocean circulation model. The carbon exchange between the ocean and atmosphere is determined directly from the (temperature-dependent) chemical interaction rates in the mixed layer, using a standard CO2 flux relation at the air-sea interface. The carbon cycle is closed by coupling the ocean to a one-layer, horizontally diffusive atmosphere. Biological sources and sinks are not included. In this form the ocean carbon model contains essentially no free tuning parameters. The model may be regarded as a reference for interpreting numerical experiments with extended versions of the model including biological processes in the ocean (Bacastow R and Maier-Reimer E in prep.) and on land (Esser G et al in prep.). Qualitatively, the model reproduces the principal features of the observed CO2 distribution bution in the surface ocean. However, the amplitudes of surface pCO2 are underestimated in upwelling regions by a factor of the order of 1.5 due to the missing biological pump. The model without biota may, nevertheless, be applied to compute the storage capacity of the ocean to first order for anthropogenic CO2 emissions. In the linear regime, the response of the model may be represented by an impulse response function which can be approximated by a superposition of exponentials with different amplitudes and time constants. This provides a simple reference for comparison with box models. The largest-amplitude (∼0.35) exponential has a time constant of 300 years. The effective storage capacity of the oceans is strongly dependent on the time history of the anthropogenic input, as found also in earlier box model studies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01054491
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  • 9
    Electronic Resource
    Electronic Resource
    The influence of low arylsulfatase A activity on neuropsychiatric morbidity: a large-scale screening in patients (1986)
    Springer
    Human genetics 〈Berlin〉 74 (1986), S. 244-248 
    Details
    ISSN: 1432-1203
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Medicine
    Notes: Summary A total of 1728 patients consecutively admitted to a neuropsychiatric hospital and 379 chronically ill inpatients were examined for activity of arylsulphatase A (ASA) in leucocytes. A further 519 healthy individuals served as controls. We did not find evidence for the involvement of low ASA activity in chronic patients. The consecutive admissions showed a slight preponderance in the lower ASA activity classes. This activity range covers persons heterozygous for ASA deficiency alleles. The data are compatible with the hypothesis that carriers of low ASA activity alleles are at a slightly higher risk for neuropsychiatric disorders.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00282542
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  • 10
    Electronic Resource
    Electronic Resource
    Characterization of CO adsorbed on γ-Mo2N by NMR spectroscopy (1988)
    Springer
    Catalysis letters 1 (1988), S. 207-212 
    Details
    ISSN: 1572-879X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Chemistry and Pharmacology
    Notes: Abstract Solid-state nuclear magnetic resonance techniques have been used to show that CO adsorbs in a molecular state on γ-Mo2N (fcc). An axially symmetric chemical shift powder pattern is observed for13CO adsorbed at 298 K. The observed lineshape is very similar to that observed for Mo(CO)6. Lineshapes for the α (hcp) and β (fcc) phases of Mo2C were also recorded for comparison.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF00766176
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