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  • Springer  (323)
  • De Gruyter  (7)
  • 1970-1974  (197)
  • 1935-1939  (133)
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  • 1
    Publication Date: 1937-05-01
    Print ISSN: 1618-2642
    Electronic ISSN: 1618-2650
    Topics: Chemistry and Pharmacology
    Published by Springer
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Bulletin of mathematical biology 35 (1973), S. 549-563 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract A method is presented for the simultaneous determination of (i) the blood flow to the organs and (ii) the cardiac output. Part I of the paper deals with the analysis of ann compartment (organ) vascular system model. The data, employed in the analysis, consists of continuous monitoring of the amounts of indicatorM i in the organs (or compartments). An analysis for determination of the cardiac output and the absolute flows to the organs is presented. Since it is difficult to isolate certain organ systems and measure the amounts of indicator in them exclusively, a more realistic model of then compartment vascular system is presented in Part II. Herein, the analysis has accounted for the finite transit time, of the indicator, from one organ system to another. Further, estimation theory is employed to make estimates of blood flow to different organs by taking note of (i) the measurement errors due to the detectors' monitoring (for an organ system) some combination ofM i 's instead of theM i for the particulari th organ and (ii) noise uncertainties introduced by the measuring instruments.
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical programming 7 (1974), S. 223-235 
    ISSN: 1436-4646
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract The purpose of this paper is to present sufficient conditions for the existence of optimal solutions to integer and mixed-integer programming problems in the absence of upper bounds on the integer variables. It is shown that (in addition to feasibility and boundedness of the objective function) (1) in the pure integer case a sufficient condition is that all of the constraints (other than non-negativity and integrality of the variables) beequalities, and (2) that in the mixed-integer caserationality of the constraint coefficients is sufficient. Some computational implications of these results are also given.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Acta biotheoretica 1 (1936), S. 203-218 
    ISSN: 1572-8358
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology
    Description / Table of Contents: Résumé L'auteur, en discutant les points de vue mécanistes et vitalistes, cherche à définir la causalité holistique tout en se référant aux équations deDonnan, qu'il prend comme exemple. La causalité holistique est essentiellement une simplification dimensionnale. Un système complexe, constituant une totalité, doit être décrit avant tout de façon autonomo-phénoménologique et — si possible — de façon mathématique. Ensuite il est simplifié de manière à former d'autres totalités de dimensionalité inférieure par suite de l'élimination progressive de ses dimensions supérieures et ainsi de suite jusqu'à ce qu'il n'en reste plus que les parties ne formant plus totalité. Celles-ci s'appellent „atomes” dans le sens propre du mot. Dans le holisme on ne commence pas par l'atome, qu'on trouve au contraire à la fin de la simplification. Tous les systèmes constituant une totalité et se trouvant entre les atomes en tant que restes de la simplification holistique, qui ne possèdent plus un caractère de totalité, et d'autre part la totalité mondiale la plus élevée, appelée Univers, sont des totalités relatives. Tout système constituant de cette façon une totalité, ne forme une totalité complète que pour ceux-là des systèmes de dimensions inférieures dans lesquels il peut être simplifié lui-même; par contre il constitue lui-même un membre-totalité pour les totalités de dimensions supérieures auxquelles il est luimême subordonné. Ainsi tous ces systèmes sont en même temps membres-totalités et totalités complètes. Il s'ensuit de ce principe, que, comme le démontrent aussi les équations deDonnan, la biologie théorique peut bien être simplifiée dans les domaines qui lui sont complémentaires (Bohr) de la physique théorique, mais qu'il est complètement impossible de dériver les principes et les théorèmes de la biologie théorique de ceux de la physique théorique, comme le prétendent toutes les doctrines mécanistes.
    Notes: Summary In comparing it with the mechanistic and vitalistic views, the author seeks to make clear the nature of holistic causality, referring toDonnan's equations as an example. Holistic causality is essentially dimensional simplification. A complex system which forms a whole must be described in the first instance autonomo-phenomenologically, and if possible mathematically. Thereafter it is simplified into other wholes of less dimensionality, through progressive elimination of its higher dimensions, and so on until there remain over constituents no longer showing „wholeness”. These are called „atoms” in the general sense. In holistic thought we do not begin with the atom; it is found at the end of the process of simplification. All unitary systems which lie between the atoms — the ultimate terms of holistic simplification, no longer showing wholeness — and the highest world-whole which we call the universe, are relative wholes. Each of these unitary systems is a complete whole only with respect to those systems of lower dimension into which it can itself be simplified. On the other hand it is itself a partial whole in relation to the wholes of higher dimension to which it is subordinated. Accordingly all these systems are at the same time complete wholes and partial wholes. It follows from this principle, as indeed theDonnan equations show, that theoretical biology can be simplified into the complementary (Bohr) domain of theoretical physics, but that it is quite impossible to „deduce„ the principles and theorems of theoretical biology from those of theoretical physics, as all mechanistic doctrines maintain.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 31 (1973), S. 39-46 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
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  • 6
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 31 (1973), S. 47-47 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Studia logica 32 (1973), S. 51-66 
    ISSN: 1572-8730
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Philosophy
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 9 (1974), S. 517-522 
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract A generalization of Birkhoff's normal form for a Hamiltonian developed about a critical point is given. The normal form is characterized intrinsically.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 9 (1974), S. 213-238 
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract This paper gives a constructive method for finding canonical forms for symplectic and Hamiltonian matrices. No restrictions are made on the eigen values or their multiplicity. Real canonical forms are treated in detail.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Celestial mechanics and dynamical astronomy 4 (1971), S. 99-109 
    ISSN: 1572-9478
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The Hamiltonian for orbits near ℒ4 and mass ratios near μ1 is brought into a normal form. A theorem shows that two coefficients in this expansion predict the behavior of the periodic orbits.
    Type of Medium: Electronic Resource
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