ALBERT

All Library Books, journals and Electronic Records Telegrafenberg

X
feed icon rss

Your email was sent successfully. Check your inbox.

An error occurred while sending the email. Please try again.

Proceed reservation?

Export
Filter
  • Articles  (45,155)
  • Springer  (43,873)
  • National Academy of Sciences  (1,282)
  • 1995-1999
  • 1975-1979  (45,155)
  • 1977  (45,155)
Collection
Source
Keywords
Publisher
Years
  • 1995-1999
  • 1975-1979  (45,155)
Year
Journal
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Observation and biological systems (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 663-678 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A number of apparently different lines of inquiry into fundamental biological processes point to the central role played by the notion of observation in the theory of biological systems. Not only do we use the results of our own observations to obtain the system descriptions which are the starting-points for an understanding of biological processes, but it is a basic postulate of physics that the interactions between biological systems themselves can be regarded as observations. On this basis, it is clear that we cannot properly understand biological interactions unless the observables we employ for system description are the same as those involved in the interactions we are describing. To do this requires a general theory of observables and system description, establishing the relationship between different modes of description. A sketch of such a theory is developed in the present paper, using only two postulates: (a) that all interactions are determined by the values of observables of a system evaluated on specific states, and (b) that real-valued observables suffice. As an application, a specific test is proposed whereby it can be determined whether the observables employed to describe interacting systems are sufficient to specify the observables involved in the interaction itself.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461776
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 2
    Electronic Resource
    Electronic Resource
    Cross-sectional shape of flexible tubes (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 679-691 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Differential equations are derived whose solution gives the cross-sectional shape of a flexible tube as a function of the transmural pressure. These equations are solved digitally to produce a series of closed curves, each curve representing the shape of a cross section for a particular set of conditions. These are then applied to the case of systemic arteries, pulmonary arteries, and large veins. The results predict that systemic arteries must always be circular, even when the internal and external pressures are equal. In veins, a small positive internal pressure causes them to become circular, regardless of their initial state, with negligible stretching. Further increases in internal pressure cause the area of the cross section to increase due only to stretching, the shape remaining essentially circular. With pulmonary arteries, known to be noncircular, changes in the cross-sectional area result from a combination of stretching and changes of shape.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461777
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 3
    Electronic Resource
    Electronic Resource
    Some techniques in building and validating stochastic models of human reproduction (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 693-704 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Stochastic models of human reproduction are beginning to play significant roles in the evaluation of family planning programs. A class of stochastic processes called absorbing, agedependent, semi-Markov processes frequently arises in the construction of such models. The paper begins with a discussion of some technicalities regarding absorbing, age-dependent, semi-Markov processes. Then, an algorithm due to Littman, which makes possible the computerization of this class of stochastic processes, is presented. Briefly, Littman’s algorithm provides an efficient method for numerically solving systems of renewal type integral equations, provided the system does not contain a large number of equations. After setting down a concrete model for a large clinical trial of intrauterine devices conducted in Taiwan, the paper concludes with a discussion of a method for validating the model based on the data collected in the clinical trial.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461778
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 4
    Electronic Resource
    Electronic Resource
    On peristaltic flow and its efficiency (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 743-743 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461781
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 5
    Electronic Resource
    Electronic Resource
    Detection and analysis of recognition and selection in the immune response (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 705-719 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Some theoretical requirements for the valid use of hemolytic plaque inhibition as a method for studying cellular selection and recognition in an immune response are reviewed. Aside from providing a rational basis for the use of this technique, the theory resolves a growing body of apparently conflicting results on the affinity regulation of IgM secreting cells and can also be used to deduce structural (in particular, morphological) features of the IgM molecule. The diverse predictions of the theory are examined in light of experimental results and find support in a wide data base. Additional specific experiments are proposed which can be used in conjunction with the theory to help clarify the relation between cellular proliferation and maturation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461779
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 6
    Electronic Resource
    Electronic Resource
    A theory of cell swelling in high concentrations of KCl and other chloride salts (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 721-741 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A theory of the cell volume is presented with emphasis on the swelling effect of high concentrations of KCl and other chloride salts. In this theory a particular cell volume represents a state of balance between the tendency of the cell water to build deeper layers of polarized water and the restraining forces exerted by the salt linkages and H-bonds. Taking into account also the different structure-breaking effects of different salts, theoretical curves can be constructed which describe the complex multiple peak-plateau of swelling curve observed in frog muscle in response to increasing concentrations of different chloride salts.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461780
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 7
    Electronic Resource
    Electronic Resource
    Preface (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 3-3 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128604
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 8
    Electronic Resource
    Electronic Resource
    2. Risk and insurance economics (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 16-40 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128606
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 9
    Electronic Resource
    Electronic Resource
    1. Aims, methods, and limits of the present study (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 5-15 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128605
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 10
    Electronic Resource
    Electronic Resource
    3. Course outlines and suggested bibliographies (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 41-55 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128607
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 11
    Electronic Resource
    Electronic Resource
    4. Catalogue of teaching in risk and insurance economics (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 56-57 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128608
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 12
    Electronic Resource
    Electronic Resource
    5. Professional training in insurance (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 58-63 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128609
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 13
    Electronic Resource
    Electronic Resource
    Bibliography (1977)
    Springer
    The Geneva risk and insurance review 4 (1977), S. 64-64 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02128610
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 14
    Electronic Resource
    Electronic Resource
    Introduction (1977)
    Springer
    The Geneva risk and insurance review 5 (1977), S. 3-8 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02420912
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 15
    Electronic Resource
    Electronic Resource
    L'approche empirique de la demande d'assurance-vie (1977)
    Springer
    The Geneva risk and insurance review 5 (1977), S. 22-34 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02420914
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 16
    Electronic Resource
    Electronic Resource
    Ansätze einer Betriebswirtschaftlichen theorie des versicherungsunternehmens (1977)
    Springer
    The Geneva risk and insurance review 5 (1977), S. 9-21 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Notes: Zusammenfassung Insgesamt liegen für eine güterliche Theorie des Wirtschaftens im Versicherungsunternehmen bereits heute viele Ansätze vor, insbesondere soweit es den Risikoausgleichsprozeß betrifft. Dagegen stecken die produktionstheoretischen Ansätze für die übrigen Input-Output-Beziehungen noch in den Kinderschuhen. Dies entpricht dem allgemein zu beobachtenden Rückstand in der betriebswirtschaftlichen Erforschung von Dienstleistungsunternehmen.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02420913
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 17
    Electronic Resource
    Electronic Resource
    La demande d'assurance non-vie: L'état actuel de la théorie (1977)
    Springer
    The Geneva risk and insurance review 5 (1977), S. 35-42 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02420915
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 18
    Electronic Resource
    Electronic Resource
    Optimal life insurance (1977)
    Springer
    The Geneva risk and insurance review 6 (1977), S. 3-16 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02409778
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 19
    Electronic Resource
    Electronic Resource
    International insurance transactions and the balance of payments (1977)
    Springer
    The Geneva risk and insurance review 6 (1977), S. 17-35 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02409779
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 20
    Electronic Resource
    Electronic Resource
    Economics, vulnerability and the diminishing returns of technology (1977)
    Springer
    The Geneva risk and insurance review 6 (1977), S. 36-52 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02409780
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 21
    Electronic Resource
    Electronic Resource
    Insurance in the national accounts: A case-study of France (1977)
    Springer
    The Geneva risk and insurance review 6 (1977), S. 76-89 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02409782
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 22
    Electronic Resource
    Electronic Resource
    Business cycles and insurance (1977)
    Springer
    The Geneva risk and insurance review 6 (1977), S. 53-75 
    Details
    ISSN: 1554-9658
    Source: Springer Online Journal Archives 1860-2000
    Topics: Economics
    Notes: Concluding remarks In order to learn from the relations between business cycle and single branches of insurance, we should not only analyse the kind of their cyclical dependences but also regard the quantitative effects. But already, the submitted investigation allows the conclusion, that the oscillations of the claims not always are random but to a large degree cyclical. p ]Whether it will be possible to use leading business indicators for the forecast of premium income can not yet be proofed for sure. Nevertheless, the present, study suggests the assumption that further investigations in this direction may lead to success.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02409781
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 23
    Electronic Resource
    Electronic Resource
    Stability analysis of predator-prey models via the liapunov method (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 339-347 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract As is well-known from the classical applications in the electrical and mechanical sciences, energy is a suitable Liapunov function: thus, by analogy, all energy functions proposed in ecology are potential Liapunov functions. In this paper, a generalized Lotka-Volterra model is considered and the stability properties of its non-trivial equilibrium are studied by means of an energy function first proposed by Volterra in the context of conservative ecosystems. The advantage of this Liapunov function with respect to the one that can be induced through linearization is also illustrated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462913
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 24
    Electronic Resource
    Electronic Resource
    The stability of entrainment conditions forRLC coupled van der pol oscillators used as a model for intestinal electrical rhythms (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 359-372 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A commonly accepted mathematical model for the slow wave electrical activity of the gastro-intestinal tract of humans and animals comprises a set of interconnected relaxation oscillators. The method of harmonic balance is used here to obtain analytical results for the entrained frequencies and amplitudes of two oscillators coupled with a parallelRLC network. By perturbations and linearisation about these values the conditions for stable limit-cycles are found and regions in theRLC parameter space which give one or two stable limit-cycle conditions are derived. These analytical results are compared with simulated results and found to creelate well for a waveshape factor of ε=0.1 and fairly well for ε=1.0. The single limit-cycle region corresponds to the requirement for a single mode having a frequency higher than the uncoupled value in small-intestinal data, while the double limit-cycle region corresponds to the two rhythms found in human large-intestinal activity.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462915
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 25
    Electronic Resource
    Electronic Resource
    Simulation of nonlinear reaction-diffusion equations (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 391-396 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Discrete particle simulation techniques developed for problems in plasma physics have been adapted to investigate one-dimensional dissipative structures. The results of the model are found to be consistent with bifurcation analysis of nonlinear reaction-diffusion equations. Two distinct type of behavior are observed corresponding to a localized steady-state solution and a time-dependent solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462918
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 26
    Electronic Resource
    Electronic Resource
    Kinetics of isobaric counterdiffusion (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 587-595 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Isobaric inert gas counterdiffusion has been demonstrated to produce gas lesions in man (Lambertsen and Idicula, 1975) and lethal gas embolism in animals (Lambertsen, Cunnington and Cowley, 1975). Equations have been derived for the stable-state supersaturation pressures developing at interfaces during inert gas counterdiffusion (Graveset al., 1973). The present analysis is a mathematical treatment of the kinetics of the isobaric counterdiffusion of a pair of gases through a membrane consisting of two layers composed of substances with different diffusion coefficients and solubilities for each of the gases involved. The time to reach the stable supersaturation state due to isobaric counterdiffusion, even when circulatory transport and pulmonary washout times are included, is found to be at least an order of magnitude smaller than the time required for visible bubble formation and tissue distortion.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461204
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 27
    Electronic Resource
    Electronic Resource
    Prediction of light-induced transient thermal response of the retina (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 607-612 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Suppose that a collimated beam of light traveling along the axis of the eye deposits energy, and that the rate at which energy is deposited by the beam is known at every point of the eye. The thermal response in the chrioretinal region of the eye is predicted by convolving this rate of deposition per unit volume with the fundamental solution of the associated heat operator.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461206
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 28
    Electronic Resource
    Electronic Resource
    Exact solutions for a special prey-predator or competing species system (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 619-622 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Exact solutions for the two-species Volterra prey-predator equations and for the Volterra equations for competition are obtained in the special case that the rate of increase of both species in the absence of interaction is the same.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461208
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 29
    Electronic Resource
    Electronic Resource
    A graphical analysis of biological evolution in a prey-predator ecology (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 623-627 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461209
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 30
    Electronic Resource
    Electronic Resource
    Structural stability and morphogenesis (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 629-632 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461210
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 31
    Electronic Resource
    Electronic Resource
    International Conference on Energy Use Management (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 633-633 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461211
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 32
    Electronic Resource
    Electronic Resource
    Henry Laurence Lucas, Jr. 1916–1977 (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 635-636 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461773
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 33
    Electronic Resource
    Electronic Resource
    Perspectives of mathematical biology presidential address 1976 annual program of the society for mathematical biology (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 637-641 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461774
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 34
    Electronic Resource
    Electronic Resource
    Zum Tode von Oberforstrat Georg zum Sande (1977)
    Springer
    European journal of wildlife research 23 (1977), S. 219-219 
    Details
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01905762
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 35
    Electronic Resource
    Electronic Resource
    A physical model of nerve axon—I. Ionic distribution, potential profile, and resting potential (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 1-22 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A theory which is based on a set of assumptions different from those of the sodium theory is developed. Here the mobile ions are considered to be distributed at Donnan equilibrium and the axoplasm is regarded as an analog of a cation-exchanger. Following the spirit of the Debye-Hückel theory, some important features of the ionic distribution and electrical potential of the nerve fiber have been calculated. The results appear to be in better agreement with the experimental observations than the Goldman-Hodgkin-Katz equation.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460678
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 36
    Electronic Resource
    Electronic Resource
    The leading edge approximation to the nerve axon problem (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 43-58 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A negative resistance piece-wise linear model, and one which is the sum of two sine terms are used to solve the nerve axon problem for leading edge waveshape, pulse velocity, maximum rate of rise, and rise time for the “Hodgkin-Huxley axon.” The results are compared analytically and numerically to experiment and the calculated results of Hodgkin and Huxley, a fuse model, and a cubic solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460680
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 37
    Electronic Resource
    Electronic Resource
    Local models of cell aggregation kinetics (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 23-42 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Mathematical models of the phenomena of the sorting out of embryonic cells are derived which predict multiple clustering of like cell types into many small islands. The experiments of Trinkaus and Lentz, and other essentially two-dimensional cell sorting results, provide examples. Two continuous models are introduced, both based on the Smoluchowski theory of Brownian motion. A mass-interaction model predicts local clumping of the internally segregating cell type within a continuum of the other type. A diffusion model simulates the suspension-aggregate experiments of Roth and Weston. A discrete model of sorting out, the exchange model, is re-derived in a clearer manner than before, and certain recent criticisms are responded to. Results in recent two-dimensional cell sorting experiments are discussed and a stability criterion for patterns of multiple clusters is introduced. The site frequency model is re-examined and criticized in terms of its application to the Roth-Weston experiments.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02460679
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 38
    Electronic Resource
    Electronic Resource
    Spatially distributed stochasticity and the constancy of ecosystems (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 157-166 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Ifconstancy is a measure of an ecosystem's (in) variability through time andstability is a measure of the system's ability to damp and recover from environmental perturbations, then constancy depends not only on stability but also on the frequency and amplitude of perturbations—theenvironmental “noise level”. The stability of an ecosystem reflects its texture, extent, and viscosity (fine-scale structure); the noise level experienced by the system (“effective” noise level) reflects the level at any point (“ambient” noise level), the spectrum of stochastic scale (regional distribution of stochasticity), and the system's spatial extent (size, or number of patches included). The coefficient of variation of a limiting stochastic variate is a measure of the effective noise level. Ifp is the total number of patches in the system (its extent) andn is the number of contiguous patches with noise signals correlated through time (its stochastic scale), then the coefficient of variation is directly proportional to $$\sqrt {(n/p)} $$ whenevern〈p. Thus ecosystems of small stochastic scalen or large sizep damp out environmental noise by “spreading the risk” in space, thereby reducing their variability in time.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462855
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 39
    Electronic Resource
    Electronic Resource
    Pumping action on blood by a magnetic field (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 385-390 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract We report here an analysis of pumping of blood by means of a non-invasive circulatory-assist device using the principle of Magnetohydrodynamics. This study shows that such a pump would require the application of a slowly moving axial magnetic field of strength of about 108 amp turns/m (approximately 106 oersteds). The results indicate that the temperature rise on account of induced currents is within permissible range.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462917
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 40
    Electronic Resource
    Electronic Resource
    Effects of diffusion on the stability of the equilibrium in multi-species ecological systems (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 373-383 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Continuous population distributions that undergo self-diffusion, migrational cross-diffusion and interaction in a region of (1-, 2- or 3-dimensional) space are described dynamically by a governing system of nonlinear reaction-diffusion equations. It is shown that the constants associated with migrational cross-diffusion are ordinarily nonnegative or nonpositive, contingent on the type of species interaction. A simple sign relationship obtains between the latter diffusivity constants and the rate constants for species interaction in the neighborhood of a spatially uniform equilibrium state, and this relationship of signs serves to simplify the general stability theory for the growth or decay of arbitrary perturbations on a spatially uniform equilibrium state. The stability of the equilibrium state is analyzed and discussed in detail for the case of a generic two-species model, where the self-diffusion and migrational cross-diffusion of species act to either stabilize or destabilize the equilibrium, depending essentially on the character of the species interaction and also on the magnitude of the Helmholtz eigenvalues associated with the region and boundary conditions. In particular, for a prey-predator or host-parasite model, self-diffusion usually helps to stabilize the equilibrium state and migrational cross-diffusion can only act as an additional stabilizing influence, as evidenced generally by the experiments on such two-species systems. Sufficient conditions are derived for stability of the equilibrium state in the general case for an arbitrarily large number of interacting species. It is shown that the equilibrium state is always stable if all species undergo significant self-diffusion and the Helmholtz eigenvalues are suitably large.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462916
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 41
    Electronic Resource
    Electronic Resource
    Transfers between biological and environmental systems (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 397-406 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A newM γ categorical representation of biological systems is developed which is an extension of previously reported work (Leguizamón, 1975a, b; 1976). In this representation, each material physical nature going to a component or produced by it, is given by a set whose cardinality corresponds to the quantity of the material physical nature. Biological and environmental diagrams, respectively represented byM γ andE categories, are used in order to obtain a theory of transfers between both systems. From the mathematical representation of this theory, the transfers are classified as: material-energetic, exclusively energetic and theoretical material-theoretical energetic. These concepts are incorporated into a diagram, and later, a set of axioms is given, in order to have the previous developments as a new categoryT.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462919
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 42
    Electronic Resource
    Electronic Resource
    A mathematical model of the dynamic heat transfer from the respiratory tract of a chicken (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 415-433 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A mathematical model of the dynamic (periodic) heat exchange from the respiratory tract of a chicken is postulated and solved analytically. The model expresses the periodic respiratory heat loss as a function of respiration rate, respiratory air velocity, ambient temperature and humidity ratio, and body (trachea) temperature. It is unique in that previous models have been formulated for steady state heat transfer. The processes of sensible and latent heat exchange are considered as uncoupled processes.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462921
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 43
    Electronic Resource
    Electronic Resource
    The bio-environmental system and the realizability of pre-biological systems (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 407-413 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A set of axioms is given which embed theM γ E andT categories developed previously (Leguizamón 1975a, b; 1976, 1977) into a new categoryK. The categoryK represents a bioenvironmental system with the properties of the three previous developments. This bioenvironmental system is believed to be useful in order to study the realization of prebiological systems. The categorical structure of most simple biological system of “zero life” is given, on the basis of two specific biological conditions. This system is proposed as starting point for study of the organization of living systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462920
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 44
    Electronic Resource
    Electronic Resource
    Exact fundamental solutions of linear parabolic equations with spatially varying coefficients (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 435-451 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The exact general solution is obtained to a linear second order ordinary differential equation which has quite general coefficients depending on an arbitrary function of the independent variable. From this, the exact fundamental solution is derived for the corresponding linear parabolic partial differential equation with coefficients depending on the single space coordinate. In a special case this latter equation reduces to one of the Fokker-Planck type. These coefficients are then generalised and the appropriate fundamental solution is obtained. Extensions are given to linear parabolic equations in two andn space dimensions. The paper provides a collection of basic examples which illustrate and develop the theory for the generation of the exact fundamental solutions. Reduction to, and the corresponding fundamental solutions of the Fokker-Planck equations is presented, where appropriate.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462922
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 45
    Electronic Resource
    Electronic Resource
    On the information received by sensory receptors (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 453-461 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract It is hypothesized that a sensory neuron, a neuron issuing from a sensory receptor, encodes the rate at which entropy or uncertainty is removed at the receptor level. This hypothesis is tested for the case of the entropy associated with the magnitude of a signal (stimulus) applied at the sensory receptor. A simple mathematical model of the process is presented and a number of well-known stimulus-response relationships are seen to emerge. For example, the adaptation of a receptor may be seen to occur as a consequence of reduced uncertainty regarding stimulus intensity. A general equation relating stimulus and response is developed, and this equation will simplify, depending upon the ratio of signal power to noise power, to either a logarithmic or a power law.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462923
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 46
    Electronic Resource
    Electronic Resource
    Precipitation of submicron charged particles in human lung airways (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 471-478 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Precipitation of charged particles in a tube by their own space charge is investigated theoretically, when the number density of the particles is large enough so that the potential is a smooth function given by Poisson’s equation, and when the number density is small so that only the image force is important. These two approaches have been applied to the data given by Weibel for the human lung, to determine the deposition probabibilities at different generations for submicron particles when the particle density is 1×105 particles/cm3. The results indicate that the electrostatic dispersion can only lead to a small effect on the lung deposition, the predominant effect is due to the image force exerted on the particles.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462925
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 47
    Electronic Resource
    Electronic Resource
    The struggle for life—V. One species living in a limited environment (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 479-485 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The general properties of the equations describing a single species living in a limited environment in the presence of its own pollutant are discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462926
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 48
    Electronic Resource
    Electronic Resource
    An urn model study of variability within a compartment (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 463-470 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Formulas are derived for the mean and variance of the number of radioactive atoms present in a compartment (or urn). Initally,n 1 radioactive atoms andb stable atoms are placed in the urn; and subsequently,r stable atoms are added and an equal number,r, of a random mixture of stable and radioactive atoms is removed per unit time. The expected number of radioactive atoms,E(t), present at timet is, as expected,n 1 e−λt where λ=(r/Δt)/(b+r+n 1). The relative variance, σ2(t)/n 1 2 , vanishes to zero forr=1, atoms per unit time and for a large number ofn 1 radioactive atoms; but for a large number of bothr andn 1 atoms the relative variance is ∼e −λt , equal to the fractional retention, fort〉1/λ. Thus in studies where radionuclides are injected into animals and a single compartment represents the data, if a large variance is observed it might be due to the fact that large numbers of atoms are transferred out in unit time. When a small variance is observed, this is probably due to the fact that few atoms are transferred in smaller units of time (such that λ is the same in both cases).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462924
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 49
    Electronic Resource
    Electronic Resource
    Immune surveillance and neoplasia—II A two-stage mathematical model (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 487-497 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In a previous paper (DeLisi and Rescigno, 1977) a model for the interaction of tumor cells and killer lymphocytes was presented. Although that model was highly simplified, the qualitative behavior was in accord with intuitive expectations and a wide range of data. It could not however account forde novo tumor development. In this paper a slightly more realistic model is presented by introducing a delay in the formation of killer lymphocytes. This is done by requiring two stages in the production of a killer. We show that introduction of this second stage allows tumor development from even a single cell, thus removing an important limitation of two variable systems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462927
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 50
    Electronic Resource
    Electronic Resource
    Realization of dependency structures (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 499-503 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract In this paper we show how to construct block diagram realizations of a given dependency structure and investigate some elementary properties.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462928
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 51
    Electronic Resource
    Electronic Resource
    Errata (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 507-507 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462930
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 52
    Electronic Resource
    Electronic Resource
    Bifurcation analysis of nonlinear reaction-diffusion equations—I (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 505-506 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02462929
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 53
    Electronic Resource
    Electronic Resource
    Optimization of diameters and bifurcation angles in lung and vascular tree structures (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 509-520 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract An optimization model is described for lung and vascular tree structures. The model extends Murray's model, which is derived from minimal power dissipation due to the frictional resistance of laminar flow and the volume of the duct system. Instead of just laminar flow, it takes into account all types of steady flow, e.g. turbulent and laminar flow, and predicts which structural changes will occur among different parts of trees having different types of flow. The sensitivity of the optimal values is indicated and the model, predictions are compared with literature data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461198
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 54
    Electronic Resource
    Electronic Resource
    The stochastic theory of compartments—A mammillary system (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 533-542 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A stochastic mammalillary model with arbitrary holding times for each of the compartments is analyzed here both with and without input. Several results found earlier by other authors for a special case of this model are generalized and some new results are also added. In particular the distribution of the system content is determined at a finite time and also in the steady state. Computable bounds for the probability of exceeding a given threshold in the peripheral compartments are given. The time until the system becomes empty is also discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461200
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 55
    Electronic Resource
    Electronic Resource
    The Green's function for the convection-diffusion equation in an analytic lung model (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 543-563 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract The method of Green's functions is applied to the convection-diffusion equation describing gas transport in the human lung. Explicit analytic solutions are found for the zeroth approximation to the value of steady state alveolar oxygen concentration, given the frequency of breathing, tidal volume, oxygen consumption, alveolar volume, volume of the bronchial tree, and two modelling parameters describing the geometry. The results of the calculation are compared favorably with some experimental data.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461201
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 56
    Electronic Resource
    Electronic Resource
    Physio-chemical mathematical theory for transitions in cellular metabolism: An aspect of carcinogenesis (1977)
    Springer
    Bulletin of mathematical biology 39 (1977), S. 521-532 
    Details
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract It is pointed out that the non-monotonic character of the chemical reaction rate expressions, together with the relative magnitude of the diffusivity constants, is likely to engender a multiplicity of locally stable steady-state solutions to the system of reaction-diffusion equations for the concentration distributions of molecular species through the volume of a living cell. A transition in cellular metabolism, i.e., the dynamical evolution from an initial locally stable steady-state solution for the concentration distributions to another distinct locally stable steady-state solution, can be induced by an etiologic agent which modifies the rate expressions significantly during an interval of time. Global inequality analysis is employed to derive a condition on the modified rate expressions that is sufficient to guarantee the occurrence of such a transition in cellular metabolism. The possibility of a transition induced by a chemical carcinogen is investigated by applying the latter sufficient condition, and it is found that the statistical frequency of carcinogenesis should depend essentially on the magnitude of the grouping (T 2 − α D α) for a total doseD of carcinogen administered to an animal at a uniform rate (D/T) over a time interval of durationT, where α is a certain positive number less than 1. This theoretical result is shown to be supported by the available experimental evidence.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02461199
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 57
    Electronic Resource
    Electronic Resource
    Bilinear programming: An exact algorithm (1977)
    Springer
    Mathematical programming 12 (1977), S. 173-194 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The Bilinear Programming Problem is a structured quadratic programming problem whose objective function is, in general, neither convex nor concave. Making use of the formal linearity of a dual formulation of the problem, we give a necessary and sufficient condition for optimality, and an algorithm to find an optimal solution.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593787
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 58
    Electronic Resource
    Electronic Resource
    On the existence and uniqueness of solutions in nonlinear complementarity theory (1977)
    Springer
    Mathematical programming 12 (1977), S. 110-130 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A complementarity problem is said to be globally uniquely solvable (GUS) if it has a unique solution, and this property will not change, even if any constant term is added to the mapping generating the problem. A characterization of the GUS property which generalizes a basic theorem in linear complementarity theory is given. Known sufficient conditions given by Cottle, Karamardian, and Moré for the nonlinear case are also shown to be generalized. In particular, several open questions concerning Cottle's condition are settled and a new proof is given for the sufficiency of this condition. A simple characterization for the two-dimensional case and a necessary condition for then-dimensional case are also given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593774
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 59
    Electronic Resource
    Electronic Resource
    Quadratic termination properties of Davidon's new variable metric algorithm (1977)
    Springer
    Mathematical programming 12 (1977), S. 141-147 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Davidon [1] provides a variable metric algorithm for minimization calculations that achieves quadratic termination without any line searches by a method that uses positive definite second derivative approximations. We give a new and elementary proof of these termination properties. It shows the great freedom allowed by the algorithm in the choice of search directions and it explains the effect of a restart procedure.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593779
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 60
    Electronic Resource
    Electronic Resource
    The Mathematical Programming Society (1977)
    Springer
    Mathematical programming 12 (1977), S. 155-155 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593784
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 61
    Electronic Resource
    Electronic Resource
    The zero pivot phenomenon in transportation and assignment problems and its computational implications (1977)
    Springer
    Mathematical programming 12 (1977), S. 226-240 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Transportation and assignment models have been widely used in many applications. Their use was motivated, among other reasons, by the existence of efficient solution methods and their occurrence as sub-problems in the solution of combinatorial problems. A previous study [10] observed that, in large-scale Transportation and Assignment Problems, 95 percent of the pivots were zero or degenerate pivots. This study investigates the ratio of zero pivots to the total number of pivots and verifies the above observation under conditions of small rim variability. Rules are introduced that pay special attention to the zero pivot phenomenon, and significantly reduce CPU time in both phase-1 (generating the initial basic feasible solution) and in phase-2 (selecting the variable leaving the base and the variable entering the base). When these rules were applied, they reduced the CPU time substantially: a 500×500 assignment problem was solved in 1.3 seconds.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593789
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 62
    Electronic Resource
    Electronic Resource
    Matrix factorizations in optimization of nonlinear functions subject to linear constraints — an addendum (1977)
    Springer
    Mathematical programming 12 (1977), S. 279-280 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593793
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 63
    Electronic Resource
    Electronic Resource
    The use of augmented lagrangian functions for sensitivity analysis in nonlinear programming (1977)
    Springer
    Mathematical programming 12 (1977), S. 281-284 
    Details
    ISSN: 1436-4646
    Keywords: Nonlinear programming ; Augmented Lagrangian functions ; Sensitivity analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593794
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 64
    Electronic Resource
    Electronic Resource
    Constructive proofs of theorems relating to:F(x) = y, with applications (1977)
    Springer
    Mathematical programming 12 (1977), S. 328-343 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Some theorems are given which relate to approximating and establishing the existence of solutions to systemsF(x) = y ofn equations inn unknowns, for variousy, in a region of euclideann-space E n . They generalize known theorems. Viewing complementarity problems and fixed-point problems as examples, known results or generalizations of known results are obtained. A familiar use is made of homotopies H: E n × [0, 1]→E n of the formH(x, t) = (1 −t)F 0 (x) + t[F(x) − y] where theF 0 in this paper is taken to be linear. Simplicial subdivisionsT k of E n × [0, 1] furnish piecewise linear approximatesG k toH. The basic computation is via the generation of piecewise linear curvesP k which satisfyG k (x, t) = 0. Visualizing a sequence {T k } of such subdivisions, with mesh size going to zero, arguments are made on connected, compact limiting curvesP on whichH(x, t) = 0. This paper builds upon and continues recent work of C.B. Garcia.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593801
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 65
    Electronic Resource
    Electronic Resource
    A practicable steepest-edge simplex algorithm (1977)
    Springer
    Mathematical programming 12 (1977), S. 361-371 
    Details
    ISSN: 1436-4646
    Keywords: Simplex Method ; Linear Programming ; Steepest-edge ; LU Factorization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract It is shown that suitable recurrences may be used in order to implement in practice the steepest-edge simplex linear programming algorithm. In this algorithm each iteration is along an edge of the polytope of feasible solutions on which the objective function decreases most rapidly with respect to distance in the space of all the variables. Results of computer comparisons on medium-scale problems indicate that the resulting algorithm requires less iterations but about the same overall time as the algorithm of Harris [8], which may be regarded as approximating the steepest-edge algorithm. Both show a worthwhile advantage over the standard algorithm.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593804
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 66
    Electronic Resource
    Electronic Resource
    The Mathematical Programming Society (1977)
    Springer
    Mathematical programming 12 (1977), S. 423-423 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593809
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 67
    Electronic Resource
    Electronic Resource
    On monotonicity in parametric linear complementarity problems (1977)
    Springer
    Mathematical programming 12 (1977), S. 60-66 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract This paper generalizes the answers that were given by R.W. Cottle to questions that were originally raised by G. Maier. Essentially, we give necessary and sufficient conditions for some notions of monotonicity of solutions for the parametric linear complementarity problem. Our proofs are direct ones and not algorithmic, as Cottle's proofs are, and also cover a broader class of matrices.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593769
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 68
    Electronic Resource
    Electronic Resource
    An algorithm for determining all extreme points of a convex polytope (1977)
    Springer
    Mathematical programming 12 (1977), S. 81-96 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract An algorithm for determining all the extreme points of a convex polytope associated with a set of linear constraints, via the computation of basic feasible solutions to the constraints, is presented. The algorithm is based on the product-form revised simplex method and as such can be readily linked onto standard linear programming codes. Applications of such an algorithm are reviewed and limited computational experience given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593771
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 69
    Electronic Resource
    Electronic Resource
    A monotone complementarity problem with feasible solutions but no complementary solutions (1977)
    Springer
    Mathematical programming 12 (1977), S. 131-132 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593775
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 70
    Electronic Resource
    Electronic Resource
    On some properties of L1 estimators (1977)
    Springer
    Mathematical programming 12 (1977), S. 139-140 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593778
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 71
    Electronic Resource
    Electronic Resource
    The Committee on Algorithms of the mathematical programming society: (1977)
    Springer
    Mathematical programming 12 (1977), S. 151-153 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593782
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 72
    Electronic Resource
    Electronic Resource
    The complementary unboundedness of dual feasible solution sets in convex programming (1977)
    Springer
    Mathematical programming 12 (1977), S. 392-405 
    Details
    ISSN: 1436-4646
    Keywords: Complementary Unboundedness ; Dual Feasible Solution Sets ; Convex Programming ; Geometric Programming ; Fenchel Duality ; Rockafellar Duality ; Ordinary Duality ; Quadratic Programming ; Optimal Location ; Traffic Equilibria
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract F.E. Clark has shown that if at least one of the feasible solution sets for a pair of dual linear programming problems is nonempty then at least one of them is both nonempty and unbounded. Subsequently, M. Avriel and A.C. Williams have obtained the same result in the more general context of (prototype posynomial) geometric programming. In this paper we show that the same result is actually false in the even more general context of convex programming — unless a certain regularity condition is satisfied. We also show that the regularity condition is so weak that it is automatically satisfied in linear programming (prototype posynomial) geometric programming, quadratic programming (with either linear or quadratic constraints),l p -regression analysis, optimal location, roadway network analysis, and chemical equilibrium analysis. Moreover, we develop an equivalent regularity condition for each of the usual formulations of duality.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593806
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 73
    Electronic Resource
    Electronic Resource
    Finite horizon approximations of infinite horizon linear programs (1977)
    Springer
    Mathematical programming 12 (1977), S. 1-17 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract This paper describes the class of infinite horizon linear programs that have finite optimal values. A sequence of finite horizon (T period) problems is shown to approximate the infinite horizon problems in the following sense: the optimal values of theT period problems converge monotonically to the optimal value of the infinite problem and the limit of any convergent subsequence of initialT period optimal decisions is an optimal decision for the infinite horizon problem.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593765
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 74
    Electronic Resource
    Electronic Resource
    Isotone solutions of parametric linear complementarity problems (1977)
    Springer
    Mathematical programming 12 (1977), S. 48-59 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The parametric linear complementarity problem is given by the conditions:q + αp + Mz ⩾ 0,α ⩾ 0,z ⩾ 0,z T (q + αp + Mz) = 0. Under the assumption thatM is a P-matrix, Cottle proved that the solution mapz(α) of the above problem is montonically nondecreasing in the parameterα for every nonnegativeq and everyp if and only ifM is a Minkowski matrix. This paper examines whether a similar result holds in various other settings including a nonlinear case.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593768
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 75
    Electronic Resource
    Electronic Resource
    Optimality condition: Constraint regularization (1977)
    Springer
    Mathematical programming 13 (1977), S. 38-48 
    Details
    ISSN: 1436-4646
    Keywords: Constraint regularization ; Determinant cone ; Kuhn—Tucker constraint-qualification ; Lagrange regularity ; Optimality condition ; x 0-redundant constraints
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Necessity and sufficiency conditions are given for the existence of a finite set of redundant constraints which together with a given set of constraints in an optimization problem satisfy the Kuhn—Tucker, and the Guignard Constraint qualifications when the original set of constraints fails to satisfy either or both of them.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01584322
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 76
    Electronic Resource
    Electronic Resource
    Ergodicity and symmetric mathematical programs (1977)
    Springer
    Mathematical programming 13 (1977), S. 81-87 
    Details
    ISSN: 1436-4646
    Keywords: Symmetric mathematical programs ; Ergodicity ; S-concavity and majorization ; Stochastic matrices ; Cyclic symmetry
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The paper provides new conditions ensuring the optimality of a symmetric feasible point of certain mathematical programs. It is shown that these conditions generalize and unify most of the known results dealing with optimality of symmetric policies (e.g. [2, 4, 6, 11]). The generalization is based on certain ergodic properties of nonnegative matrices. An application to a socio-economic model dealing with optimization of a welfare function is presented.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01584325
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 77
    Electronic Resource
    Electronic Resource
    Restart procedures for the conjugate gradient method (1977)
    Springer
    Mathematical programming 12 (1977), S. 241-254 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The conjugate gradient method is particularly useful for minimizing functions of very many variables because it does not require the storage of any matrices. However the rate of convergence of the algorithm is only linear unless the iterative procedure is “restarted” occasionally. At present it is usual to restart everyn or (n + 1) iterations, wheren is the number of variables, but it is known that the frequency of restarts should depend on the objective function. Therefore the main purpose of this paper is to provide an algorithm with a restart procedure that takes account of the objective function automatically. Another purpose is to study a multiplying factor that occurs in the definition of the search direction of each iteration. Various expressions for this factor have been proposed and often it does not matter which one is used. However now some reasons are given in favour of one of these expressions. Several numerical examples are reported in support of the conclusions of this paper.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593790
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 78
    Electronic Resource
    Electronic Resource
    Line perfect graphs (1977)
    Springer
    Mathematical programming 12 (1977), S. 255-259 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The concept of line perfection of a graph is defined so that a simple graph is line perfect if and only if its line graph is perfect in the usual sense. Line perfect graphs are characterized as those which contain no odd cycles of size larger than 3. Two well-know theorems of König for bipartite graphs are shown to hold also for line perfect graphs; this extension provides a reinterpretation of the content of these theorems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593791
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 79
    Electronic Resource
    Electronic Resource
    Testing for complete efficiency in a vector maximization problem (1977)
    Springer
    Mathematical programming 12 (1977), S. 285-288 
    Details
    ISSN: 1436-4646
    Keywords: Vector maximization ; Efficient points
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593795
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 80
    Electronic Resource
    Electronic Resource
    An algebraic approach to assignment problems (1977)
    Springer
    Mathematical programming 12 (1977), S. 318-327 
    Details
    ISSN: 1436-4646
    Keywords: Combinatorial Optimization ; Assignment Problem ; Ordered Semigroups ; Bottleneck Objective ; Lexicographical Objective ; Labeling Method ; Admissible Transformation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract For assignment problems a class of objective functions is studied by algebraic methods and characterized in terms of an axiomatic system. It says essentially that the coefficients of the objective function can be chosen from a totally ordered commutative semigroup, which obeys a divisibility axiom. Special cases of the general model are the linear assignment problem, the linear bottleneck problem, lexicographic multicriteria problems,p-norm assignment problems and others. Further a polynomial bounded algorithm for solving this generalized assignment problem is stated. The algebraic approach can be extended to a broader class of combinatorial optimization problems.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593800
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 81
    Electronic Resource
    Electronic Resource
    Examples of non-convergence of conjugate descent algorithms with exact line-searches (1977)
    Springer
    Mathematical programming 12 (1977), S. 356-360 
    Details
    ISSN: 1436-4646
    Keywords: Conjugate ; Convergence ; Exact Line-search ; Optimization
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract Examples are given in which quasi-Newton and other conjugate descent algorithms fail to converge to a minimum of the object function. In the first there is convergence to a point where the gradient is infinite; in the second, a region characterized by a fine terraced structure causes the iterates to spiral indefinitely. A modification of the second construction gives convergence to a point where the gradient is non-zero, but the gradient is not continuous at this point. The implication of these examples is discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593803
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 82
    Electronic Resource
    Electronic Resource
    Mathematical programming study 5 and 6 (1977)
    Springer
    Mathematical programming 12 (1977), S. 415-422 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593808
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 83
    Electronic Resource
    Electronic Resource
    Using shortest paths in some transshipment problems with concave costs (1977)
    Springer
    Mathematical programming 12 (1977), S. 18-25 
    Details
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract This paper deals with the problem of solving an uncapacitated transshipment problem with either one source and several sinks or one sink and several sources. The cost function of the problem is concave in the amount shipped on each arc and thus local optima are possible. A characterization of adjacent extreme flows in terms of corresponding arborescences is given for this type of networks. This characterization together with shortest path methods is then used to attack the problems of finding local optima and of ranking extreme points. A real-world problem and computational evidence for the usefulness of the method are produced.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01593766
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 84
    Electronic Resource
    Electronic Resource
    Estimating errors of numerical approximation for periodic analytic functions (1977)
    Springer
    Computing 18 (1977), S. 241-248 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Ausgehend von der Cauchyschen Integralformel beschreiben wir ein einfaches Verfahren zur Fehlerabschätzung für numerische Approximationen bei periodischen analytischen Funktionen. Anschließend werden Fehlerabschätzungen angegeben für die Quadraturformel nach Chawla und Ramakrishnan [1] zur numerischen Berechnung des Cauchyschen Hauptwerts $$I\left( {f;a} \right) = \int\limits_0^{2\pi } {f(x)\cot \left( {\left( {x - a} \right)/2} \right)dx,} $$ unf für die Quadraturformel nach Garrick [2] für die Berechnung vonI f; o). Dabei ergeben sich für die Garricksche Formel günstigere Fehlerschranken als für die Formel von Chawla und Ramakrishnan. Schließlich betrachten wir eine Erweiterung der Garrickschen Formel zur Berechnung vonI(f;a) für beliebigesa∈[0,2 π), welche für allea die gleiche Fehlerschranke hat. Während füra=x j die erweiterte Formel mit der Quadraturformel nach Wittich [3] übereinstimmt, ist sie füra≠x j vorteilhafter, weil sie für die gleiche Genauigkeit nur die Hälfte an Funktionsauswertungen benötigt gegenüber der Wittichschen Formel.
    Notes: Abstract We give a simple method based on Cauchy's integral formula for estimating the errors of numerical approximation for periodic analytic functions. We then obtain error estimates for the quadrature formulas of Chawla and Ramakrishnan [1] for the numerical evaluation of the Cauchy principal value integral $$I\left( {f;a} \right) = \int\limits_0^{2\pi } {f(x)\cot \left( {\left( {x - a} \right)/2} \right)dx,} $$ and for the quadrature formula of Garrick [2] for the evaluation ofI (f;o), Based on these error estimates, we are led to conclude that for the evaluation ofI (f;o), Garrick's formula has a better error estimate than the formula of Chawla and Ramakrishnan with the same number of function evaluations. Finally, we extend Garrick's formula for the evaluation ofI (f;a) for arbitrarya∈[0,2π); the extended formula has, for alla, the same error estimate as Garrick's formula. While, for a=xj, the extended formula is identical with the quadrature formula of Wittich [3], fora≠x j, the extended formula is much better in that it uses only half the number of function evaluations of Wittich's formula for the same accuracy.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02253210
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 85
    Electronic Resource
    Electronic Resource
    Auswertungsalgorithmen fast-optimaler numerischer Stabilität für Polynome (1977)
    Springer
    Computing 17 (1977), S. 289-296 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Abstract Within quite a general family of evaluation-schemes for polynomials, Clenshaw's algorithm based on the Chebyshevpolynomials of the second kind is of almost maximum numerical stability.
    Notes: Zusammenfassung Innerhalb einer recht allgemeinen Familie von Auswertungsalgorithmen für Polynome zeichnet sich der auf Clenshaw zurückgehende Algorithmus, welcher auf Entwicklung nach Tschebyscheff-Polynomen 2. Art beruht, durch fast-optimale numerische Stabilität aus.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02275642
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 86
    Electronic Resource
    Electronic Resource
    Kriterien für die Liapunovstabilität und ihre numerische Anwendung (1977)
    Springer
    Computing 17 (1977), S. 297-308 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Abstract There are considered three different approaches for solving numerically the stability problem, i.e. the question whether the eigenvalues of a matrix A have negative real parts: Calculating the characteristic polynomial and applying the Routh scheme, direct solution of the Liapunov equation and transforming A to the so-called Schwarz form. From the latter a Routh scheme for complex polynomials is derived. Further, by an appropriate Möbius transformation, an inclusion method for the eigenvalues of a complex matrix is proposed and applied to a matrix resulting from an econometric model.
    Notes: Zusammenfassung Drei verschiedene Methoden zur numerischen Lösung des Stabilitätsproblems, d. h. der Frage, ob die Eigenwerte einer reellen oder komplexen Matrix A in der linken Halbebene liegen, werden verglichen: Die Berechnung des charakteristischen Polynoms von A mit der Anwendung des Routh-Kriteriums, die direkte Lösung der Liapunovgleichung und die Transformation von A auf die sogenannte Schwarzsche Form; aus der letzteren wird ein Routh-Schema für komplexe Polynome hergeleitet. Ferner läßt sich durch eine geeignete Möbius-Transformation eine Methode zur Einschließung von Eigenwerten komplexer Matrizen angeben, die bei einer Matrix aus einem ökonometrischen Modell erprobt wird.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02275643
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 87
    Electronic Resource
    Electronic Resource
    Alternative forms with orders of the lax equivalence theorem in Banach spaces (1977)
    Springer
    Computing 17 (1977), S. 335-342 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Zusammenfassung Der Äquivalenzsatz von Lax über die Konvergenz der Lösung des diskretisierten Problems gegen die des gegebenen sachgemäß gestellten Anfangswertproblems zeigt, daß Stabilität notwendig und hinreichend für die Konvergenz ist, falls das Differenzenschema konsistent ist. In einer früheren Arbeit von Butzer-Weis wurde dieser Satz im Rahmen allgemeiner Banachräume mit Ordnungen versehen, im Sinne, daß Konsistenz, Stabilität und Konvergenz mit Ordnungen betrachtet werden. Nach geeigneter Abänderung der benutzten Definitionen besagt nun eine alternative Form des Äquivalenzsatzes von Lax, daß Konsistenz und Stabilität äquivalent zur Konvergenz sind. Dieses Ergebnis wird ebenfalls auf den Fall mit Ordnungen verallgemeinert. In der Tat sind beide Formen des Satzes von Lax gültig unter den gleichen Definitionen von Konsistenz, Stabilität und Konvergenz mit Ordnungen. Ein Beispiel zeigt, daß der letztere Satz in einem gewissen Sinne bestmöglich ist.
    Notes: Abstract The Lax equivalence theorem on the convergence of the solution of the discrete problem to that of the given properly posed initial-value problem states that if the difference scheme is consistent, then stability is necessary and sufficient for convergence. In a recent paper by Butzer-Weis this theorem was equipped with orders in the setting of arbitrary Banach spaces in the sense that consistency, stability and convergence were considered with orders. By modifying the concepts involved suitably, an alternative form of the Lax theorem reads that consistency and stability is equivalent to convergence. This result is also generalized to one containing orders, in fact, both forms of the Lax theorem are valid under the same definitions of consistency, stability, and convergence with orders. An example is given showing that the latter theorem is in a certain sense best possible.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02275646
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 88
    Electronic Resource
    Electronic Resource
    Penalty-Methode bei der numerischen Behandlung von quasilinearen elliptischen Differentialgleichungen vierter und höherer Ordnung (1977)
    Springer
    Computing 17 (1977), S. 343-350 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Abstract In the following paper we treat the numerical solution of quasilinear elliptic differential equations of fourth and higher order which are Euler-equations of certain variational problems We reduce the differential equation to a system of equations of the second order and solve this system by the method of finite differences. Existence and uniqueness of a minimal solution of the discrete problem and convergence to the solution of the variational problem under the assumptions of consistency and stability are established as the mesh size and the Penalty-parameter tend to zero.
    Notes: Zusammenfassung Es werden quasilineare elliptische Differentialgleichungen vierter und höherer Ordnung behandelt, die Euler-Gleichungen gewisser Variationsprobleme sind. Die Differentialgleichung wird in ein System von Gleichungen zweiter Ordnung umgeformt und mittels Differenzenverfahren gelöst. Existenz und Eindeutigkeit einer Minimallösung des diskreten Problems und Konvergenz gegen die Lösung des kontinuierlichen Problems unter der Voraussetzung von Konsistenz und Stabilität werden bewiesen, falls die Gitterkonstante und der Penalty-Parameter gegen Null streben.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02275647
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 89
    Electronic Resource
    Electronic Resource
    Über die einseitige Randsteuerung einer schwingenden Saite in einen Zustand minimaler Energie (1977)
    Springer
    Computing 17 (1977), S. 351-359 
    Details
    ISSN: 1436-5057
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Description / Table of Contents: Abstract We consider the problem of steering a vibrating string which is fixed at the left end within a given time into a state of minimal energy by controlling at the right-hand side. First it is shown that the solution of this problem equals the control that transfers the string into rest in minimal time. Second a weak bang-bang-principle for optimal controls having a bounded acceleration is derived, and is demonstrated by an example.
    Notes: Zusammenfassung Betrachtet wird das Problem, eine linksseitig eingespannte schwingende Saite durch Steuerung am rechten Rand innerhalb vorgegebener Zeit in einen Zustand minimaler Energie überzuführen. Zunächst wird gezeigt, daß die Lösung dieses Problems gleich der Steuerung ist, die die Saite in minimaler Zeit in die Ruhelage bringt. Sodann wird für optimale Steuerungen mit beschränkter Beschleunigung ein schwaches Bang-Bang-Prinzip hergeleitet und an einem Beispiel demonstriert.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02275648
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 90
    Electronic Resource
    Electronic Resource
    Study on the effect of food irradiation on some blood serum enzymes in rats (1977)
    Springer
    European journal of nutrition 16 (1977), S. 18-21 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary The effect of feeding an irradiated diet on the activities of some blood serum enzymes in rats have been studied. This study revealed some significant changes of SGOT due to sex differences. The results obtained failed to show any significant changes in the enzyme activities of SGPT and serum LDH neither in relation to sex nor to the irradiation doses studied.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021206
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 91
    Electronic Resource
    Electronic Resource
    Effect of authentic and natural vitamin C and carotene on amino acid absorption (1977)
    Springer
    European journal of nutrition 16 (1977), S. 12-17 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary The effect of vitamin C or carotene either from authentic or natural sources on absorption of lysine, glycine and methionine was evaluated. Results revealed that maximum absorption of these amino acids was reached at different intervals from the orally given dose. Addition of ascorbic acid enhanced amino acid absorption and this effect was maximum in case of methionine. Carotene brought about variable effect to the three amino acids tested. Pepper, parsley, or orange juices did not affect the extent of intestinal lysine absorption. Pepper juice enhanced absorption of methionine in contrast to orange and parsley. Glycine absorption was markedly enhanced by addition of orange juice. Ascorbic acid suppelementation to dietary constituents is recommended for better utilization of proteins.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021205
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 92
    Electronic Resource
    Electronic Resource
    Serum mineral changes in dithizone-induced diabetes before and after insulin treatment (1977)
    Springer
    European journal of nutrition 16 (1977), S. 22-26 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary In this study, diabetes was induced by intravenous injection of dithizone. In dithizonised diabetic animals, the levels of serum zinc, iron, and potassium were found to be higher than normal, while those of serum calcium and sodium were lower. Copper and magnesium levels were unchanged. After treatment with insulin, most of these serum levels approached the normal, except for serum potassium and magnesium.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021207
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 93
    Electronic Resource
    Electronic Resource
    Ernährungsstatus, Nahrungsverbrauch und Nährstoffzufuhr von Schülern in Saudi-Arabien I. Anthropometrische Daten (1977)
    Springer
    European journal of nutrition 16 (1977), S. 1-11 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Description / Table of Contents: Summary A field study about the nutritional status was made in school classes with boys 6 to 19 years old in different regions of Saudi-Arabia. It is reported about 341 pupils in regard to weight, height, skinfold-thickness, circumferences and other body-size measurements. In comparison with anthropometric measurements of comparable surveys in other countries, the Saudi-Arabian school boys were found to be smaller and leaner than boys from the USA, Europe, other Arabian countries and well-to-do Indian boys.
    Notes: Zusammenfassung In verschiedenen Gebieten Saudi-Arabiens wurden anthropometrische Untersuchungen an 6- bis 19jährigen Schülern innerhalb einer Studie zur Bestimmung des Ernährungsstatus und der Ermittlung der Nährstoffzufuhr vorgenommen. Gemessen wurden Körpergewicht, Körperlänge, Hautfaltendicken an Bizeps, Trizeps, Subskapula und Abdomen sowie die Umfänge an Oberarm, Bauch und Wade. Mit Hilfe dieser Daten wurden dann Körperoberfläche, Grundumsatz und Körperzusammensetzung berechnet. Bei einer Gegenüberstellung dieser Ergebnisse mit Meßwerten aus Erhebungen in anderen Ländern zeigt sich, daß die Werte der saudi-arabischen Probanden weit unter denen vergleichbarer Altersgruppen aus den USA und Europa und unter denen aus arabischen Ländern und Indien mit Ausnahme von indischen Jungen aus armen sozio-ökonomischen Schichten liegen.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021204
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 94
    Electronic Resource
    Electronic Resource
    Protein and amino acid pattern in juvenile diabetes (1977)
    Springer
    European journal of nutrition 16 (1977), S. 27-30 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary A number of 21 diabetic juveniles and 20 controls comprised the material of this study. Serum total proteins and their electrophoretic separated fractions were estimated. Serum free amino acids were also investigated. Results showed that serum proteins were within normal range. An average increase of 49.5% in total free amino acids was reported. In general, the data for all the detected amino acids showed an average increase when compared with normal values. The significance of these findings in relation to the normal values were discussed.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021208
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 95
    Electronic Resource
    Electronic Resource
    Serum and urine amino acid pattern under the effect of carbon disulfide intoxication (1977)
    Springer
    European journal of nutrition 16 (1977), S. 31-38 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary The effect of carbon disulphide intoxication on amino acid pattern was studied. Five groups of rats were treated with carbon disulphide through intramuscular injection of 0.05 ml CS2 in 0.2 ml olive oil/rat/day. A number of rats were sacrified after receiving 10, 20, 30, 40, and 50 injections. As a result of intoxication, a state of hypoaminoacidemia and hyperaminoacidurea affected all the amino acids investigated, but to variable extent. Of value to add that stoppage of carbon disulphide leads to improvement of the amino-acid pattern in group six, compared to the other groups.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021209
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 96
    Electronic Resource
    Electronic Resource
    Buchbesprechungen (1977)
    Springer
    European journal of nutrition 16 (1977), S. 44-71 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021211
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 97
    Electronic Resource
    Electronic Resource
    Serum mineral changes in alloxan diabetes before and after treatment with some hypoglycemic drugs (1977)
    Springer
    European journal of nutrition 16 (1977), S. 39-43 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary In alloxan diabetes, serum zinc, copper, iron and magnesium were significantly higher than in normal rats, while the level of serum calcium, sodium, and potassium was lower than normal. Treatment with daonil or insulin led to a normalization, as expected of the level of serum glucose and most of the other elements, except for iron and potassium. When lycanol was used for treatment, the level of all elements returned to the normal except for blood glucose, zinc and potassium.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021210
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 98
    Electronic Resource
    Electronic Resource
    Mitteilungen (1977)
    Springer
    European journal of nutrition 16 (1977), S. 72-72 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021212
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 99
    Electronic Resource
    Electronic Resource
    Kaliumsubstition beim Fasten (1977)
    Springer
    European journal of nutrition 16 (1977), S. 73-76 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Description / Table of Contents: Summary Twenty patients, divided in two groups to ten were undergoing a fasting period for 14 days. One group received 80 mEq potassium per day. Despite of identical loss of body-weight, the application of potassium showed the following advantages: 1) The body is able to keep acid-base-balance. 2) The important loss of potassium, induced by starvation can be reduced to a minimum.
    Notes: Zusammenfassung Je 2mal 10 Patienten wurden einer 14tägigen Fastenperiode unterzogen, wobei einer Gruppe zusätzlich 80 mval Kalium verabreicht wurden. Bei identischer Gewichtsabnahme in beiden Gruppen kommt es unter Kaliumzulage zu einer Zunahme der Natriumausscheidung auf das Dreifache und einer Verminderung der Kaliumausscheidung um 1/3.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021481
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
  • 100
    Electronic Resource
    Electronic Resource
    Effect of carbon-disulfide intoxication on the levels of serum copper and ceruloplasmin (1977)
    Springer
    European journal of nutrition 16 (1977), S. 77-80 
    Details
    ISSN: 1436-6215
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition , Medicine
    Notes: Summary Under the effect of carbon-disulphide intoxication on the experimental animals, a significant decrease in serum copper and ceruloplasmin levels was observed. The decrease was aggravated with prolongation of carbon disulphide intoxication due to loss of appetite, formation of chelating compounds with carbon disulphide metabolites and increased loss of copper in urine. However, reinvestigated at 20 days after stoppage of dosage, most of these derangements started to be alleviated.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02021482
    Location Call Number Expected Availability
    BibTip Others were also interested in ...
    Paper (German National Licenses)
    Fulltext
Close ⊗
This website uses cookies and the analysis tool Matomo. More information can be found here...