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  • Springer  (27,624)
  • Wiley-Blackwell  (5,919)
  • Oxford University Press  (1,671)
  • 1980-1984
  • 1960-1964  (21,691)
  • 1955-1959  (13,523)
  • 1961  (21,691)
  • 1955  (13,523)
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  • 1980-1984
  • 1960-1964  (21,691)
  • 1955-1959  (13,523)
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  • 1
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    Bulletin of mathematical biology 23 (1961), S. 305-318 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract Freese’s Hypothesis states that a single specific alteration in the sequence of nucleotides of an information-bearing DNA molecule results in a specific mutational effect. Within the framework of the DNA-protein coding problem developed elsewhere, and assuming the quasi-ergodicity of the general coding process, it is shown that Freese’s Hypothesis allows us to derive expressions for the length of the smallest mutable DNA molecule and to obtain a bound for the maximal number of allelic molecules of fixed length. To illustrate these ideas, calculations are carried out on appropriate data from bacternophage and man, and the results are shown to differ by a factor of 10 (modulo the rather crude approximations used). It is further shown that, if ρ(N) and ϱ(N) are respectively the number of information-bearing words of lengthN in a given code and the number of words of lengthN, then the number lim ρ(N)/ϱ(N) depends sensitively on the parameter ∈ which specifiesN→∞ the given code. The implications of this result for the spontaneous aggregation of a sufficient number of information-bearing words to characterize an organism are discussed.
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  • 2
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    Bulletin of mathematical biology 23 (1961), S. 319-319 
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  • 3
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    Bulletin of mathematical biology 23 (1961), S. 321-335 
    ISSN: 1522-9602
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    Notes: Abstract As a “base line” of memorization performance, the behavior of a “perfect learner” is considered. He is characterized by a perfect memory and by the ability to choose the best search procedure in problems where the correct response from a given repertoire is to be found to each of several stimuli under the condition of “right” and “wroing” promptings by the experimenter. Expected learning curves are derived for the case of disjoint response repertoires associated with the stimuli under cyclic and random presentation of the stimuli and for the case of a single response repertoire (a one-to-one matching problem) under cyclic presentation.
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  • 4
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    Notes: Abstract Detailed equations are given for the computation of aortic distensibility in the intact living human patient from measurements of systolic and diastolic arterial pressures, heart rate and cardiac output. From these equations, the aortic characteristics of a large series of normal men of different ages were computed. Comparing these results with measurements on excised aortas, a more pronounced trend toward increasing aortic stiffness with increasing age is evident in living than in dead aortas. Nor-epinephrine and exercise apparently cause the living aortas to constrict but to become more distensible. The same change occurs after 30 minutes of high spinal anesthesia. The ganglionic blocking agents hexamethonium, pentamethonium, and tetraethylammonium usually cause the living aorta to become stiffer, presumably due to dilatation. The aortas of patients with pulmonary disease usually react in different fashion to exercise or tetraethylammonium. The increased aortic distensibility that occurs with the hypertension induced by nor-epinephrine or exercise acts as a compensatory mechanism by decreasing systolic pressure.
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  • 5
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    Bulletin of mathematical biology 23 (1961), S. 355-376 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Dimensional analysis is discussed from the viewpoint of its basic group properties and shown to be an algebraic Abelian group that is useful for analysis of physical measurements. The application of the method to various types of equations and the formulation of previously unclassified dimensions are discussed. Functional dimensional analysis is applied to the problems of cell size and biomass proliferation; future applications are also noted. A number of dimensionless terms have been formulated for cellular physiochemical phenomena. They apparently represent the first systematic study of biological dimensionless numbers recorded in the literature. A dimensionless proliferation law is suggested. A brief analysis of the physical dimensionality associated with information measures is carried out. Entropy and “information” are shown to be completely different in their dimensional meaning; other informational measures of possible interest in biology are proposed. The dimensional coding and computor analysis of biomathematical equations is suggested.
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  • 6
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    Bulletin of mathematical biology 23 (1961), S. 377-391 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Expenditure of energy under several simultaneous forms (mechanical, chemical, etc.) is associated with all muscular activity. The energy is directly related to what is commonly called exertion or effort. This paper defines “muscular effort” quantitatively in terms of some of the elements of the dynamics of the human (and animal) body. It postulates that in all likelihood the individual will, consciously or otherwise, determine his motion (or his posture, if at rest) in such a manner as to reduce his total muscular effort to a minimum consistent with imposed conditions, or “constraints”. The principle, formulated in mathematical terms, is sufficient to ascribe to the moments at all body joints—a matter generally of free choice on the part of the individual—their most likely magnitudes. It therefore renders the equations of human (and animal) motion determinate within this context. The paper also describes briefly an iteration method for the solution of these equations, once they have been made determinate. A simple illustrative application of the principle is included.
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  • 7
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    Bulletin of mathematical biology 23 (1961), S. 393-403 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract It is pointed out that two fundamentally different views of primary genetic processes occur in the literature which are frequently confused. The first is a true communication-theoretic view, which regards the genetic apparatus as containing a real information-source and a transducer which converts that information to useful form. The second view is generally expressed as a template scheme based on the Watson-Crick model; it is shown that in this model there is actually no such thing as genetic information in a communication-theoretic sense. Both views are then discussed on the basis of microphysical principles developed in previous work of the author (Bull. Math. Biophysics,22, 227–255, 1960) in an attempt to find which approach is in closer accord with the biological facts. It is shown that, if the communication-theoretic view is correct, then the information-bearing object must act as a “catalyst,” but it is pointed out that the type of catalysis involved must be of a fundamentally different nature than that occurring in familiar enzyme-catalyzed reactions. On the basis of general considerations of irreversible changes in microphysical measuring systems, it is shown that any type of template must suffer a gradual and irreversible denaturation, which seems to make it unlikely that a template could play a primary role in fundamental genetic processes.
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  • 8
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    Bulletin of mathematical biology 23 (1961), S. 405-411 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract The theory developed in previous papers and based on distribution curves of definite form is generalized to any form of unimodel distributions. The time course of the change from one behavior to another is discussed and a general theorem about the time course is established.
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  • 9
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    Bulletin of mathematical biology 23 (1961), S. 417-417 
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  • 10
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    Bulletin of mathematical biology 23 (1961), S. 1-14 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Some progress has been made on the problem of the interaction of respiratory gases with whole blood. A working mathematical model for the O2−CO2 interaction phenomena has been developed from mathematical studies of the data. The Edsall-Wyman (1958) model for CO2 absorption is improved upon in this paper by consolidating it with the O2 absorption model developed in paper I of this set (Bernard, S. R.,Bull. Math. Biophysics,22, 391–415, 1960). This improved model assumed the effect of O2 on CO2 absorption is mediated through the electrical charge possessed by the hemoglobin molecule,i.e., O2 molecules bound to hemoglobin displace protons from the hemoglobin thereby increasing the negative charge on the hemoglobin and at the same time increasing the acidity of the solution. The model is tested against the data.
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  • 11
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    Bulletin of mathematical biology 23 (1961), S. 15-18 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract On the basis of previously proposed mathematical models of social behavior, the present note investigates the possibility of the control of behavior remaining permanently in the hands of one class, if this class possesses sufficient means for influencing mass behavior. The conclusion is reached that, with the assumptions made, if the behavior imposed by the controlling class leads to sufficiently strong dissatisfaction, the control will pass to another class, no matter how strong the controlling power of the first.
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  • 12
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    Bulletin of mathematical biology 23 (1961), S. 19-29 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Traffic in one direction on a multilane highway is considered, and a general expression for the number of cars which pass a car travelling at a given velocity, as well as the number of cars which the given car passes, is derived for the case when the speeds of different cars are distributed in some arbitrary manner. Closed expressions are derived and discussed for a rectangular distribution. Each passing by another car or of another car is considered as a distracting stimulus which affects the reaction times of the driver. Using previously derived expressions for the safe speed as a function of reaction times, expressions for the safe average speed are derived, in terms of the volume of traffic and of the spread of the distribution of speeds.
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  • 13
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    Bulletin of mathematical biology 23 (1961), S. 99-103 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Emphasis upon the importance of homeostatic feedback has drawn attention away from the complexity of biological processes. A study of glucose metabolism indicates the importance of open-cycle as well as closed-cycle mechanisms. Besides the glucose-dependent mechanism of insulin secretion, many open-cycle processes involving the liver, adrenal glands and kidneys, play important roles in the variation of blood glucose. In addition, glucose utilization by the tissues is essentially open-cycle in nature.
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  • 14
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    Bulletin of mathematical biology 23 (1961), S. 105-106 
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  • 15
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    Bulletin of mathematical biology 23 (1961), S. 413-416 
    ISSN: 1522-9602
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    Notes: Abstract In certain situations like the aftermath of a revolution when discontent rises amongst certain groups of the population, it is frequently observed that the discontented groups are firmly convinced that their point of view is shared by the majority of the population. Yet future events prove that this is far from being the case. This effect is partly attributable to “wishful thinking,” partly to a purely social mechanism. The wishful-thinking effect may be considered as a case of psycho-physical discrimination in which a bias is introduced proportional to the degree of satisfaction anticipated from a given situation. H. D. Landahl's well-known equations can be applied to this case. The social factor is based on the circumstance that an individual associates by preference with such other individuals as have similar opinions. This results in an actual error of estimation of the relative minority or majority because of different frequencies of contact with individuals of the two opposing groups. Both factors may be combined into one equation.
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  • 16
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    Bulletin of mathematical biology 23 (1961), S. 421-422 
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  • 17
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    Bulletin of mathematical biology 23 (1961), S. 31-42 
    ISSN: 1522-9602
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Abstract This report describes a method by which the concepts of the lead vector and the lead field may be extended to include equivalent cardiac singularities above the first order. The theoretical treatment results in generalization of the well-known lead vector principle into a lead tensor apparatus. The specific electrocardiographic contribution of annth order multipole is found to be the product of annth rank contravariant (“heart”) tensor by a covariant (“lead”) tensor of the same rank, and with identical indices. Methods are also described whereby lead tensor components may be cast into a form which relates them directly to the more usual, spherical harmonic notation of multipolar current generators. Some attention is devoted to the possibility of applying lead tensors to biomedical problems, particularly to the prospect of quantitatively evaluating the significant multipolar components of the human heart.
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  • 18
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    Bulletin of mathematical biology 23 (1961), S. 43-53 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract A simple model is presented for the formation of functional groups in a random neural net. They show the following characteristics: 1. They can maintain autonomous activity which might serve as temporary memory traces. 2. Early in the process of formation they become resistant to contraction. 3. Later they become resistant to expansion. 4. Nearby groups inhibit one another. 5. Two groups may contain some cells in common.
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  • 19
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    Bulletin of mathematical biology 23 (1961), S. 55-68 
    ISSN: 1522-9602
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    Topics: Biology , Mathematics
    Notes: Abstract Quantum biology is the quantum mechanical study of electrons in molecules of biological interest. This requires the solution of problems involving many electrons. Approximation methods are therefore necessary and are discussed. The present study, concerned with the mobile electrons in riboflavin (FMN) and its radicals (FMN−, FMNH and FMNH2 +), is based on the approximation method, developed by B. Pullman and A. Pullman. The solution of the eigenvalue problems so obtained gives the energy levels of the mobile electron systems involved. The corresponding eigenvectors yield the mobile electronic charges of the atoms of riboflavin radicals which have contributed mobile electrons. Important differences of the net charge distributions of these radicals are emphasized. The longest wave length of light absorption is calculated from the obtained energy levels and agrees, within the accuracy of the method, with corresponding experimental results. From the appropriate calculated results, electronic assignments are obtained for the experimental transitions involved.
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  • 20
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    Notes: Abstract A postulated scheme for sequential enzyme synthesis coupled with linear chain reaction is proposed. Mathematical calculations are carried out for the transient-state formation of enzyme coupled with enzyme-substrate reactions. Examples are presented to demonstrate the relations between various operational parameters during enzyme synthesis as a function of time. Significance of the phenomenon of sequential synthesis is discussed in relation to abnormal growth and cellular injury.
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    Bulletin of mathematical biology 23 (1961), S. 91-97 
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    Notes: Abstract By introducing a plausible model for the initiation of axonal impulses the output is obtained as a function of the input incoming impulses. If the temporal aspects of the excitatory process resulting from the afferent impulses are sufficiently rapid one obtains the discontinuous or microscopic model of McCulloch-Pitts. If these are sufficiently slow a continuous model, such as Rashevsky’s one or two factor theory, is a natural model. But the linear relation between the strength of excitation of one axon and excitatory factor of the next will not in general hold. However, under conditions which are not too restrictive the linear relation with threshold can be considered as satisfactory approximation over a fairly wide range of values.
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    Bulletin of mathematical biology 23 (1961), S. 107-108 
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  • 23
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    Bulletin of mathematical biology 23 (1961), S. 217-221 
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    Bulletin of mathematical biology 23 (1961), S. 233-235 
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    Notes: Abstract With a view to future applications in relational biology, the notion of relations between sets is introduced and several theorems are demonstrated.
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    Bulletin of mathematical biology 23 (1961), S. 223-232 
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    Notes: Abstract A mathematical theory is developed to explain the observed enhancement of O2 transport through solutions by hemoglobin. At high partial pressures of O2, ordinary diffusion through the solvent accounts for all transport of O2, but at low partial pressures the transport may be increased manyfold by the presence of hemoglobin. This phenomenon is explained and its possible role in living organisms is discussed. The theory also indicates a new method of determining dissociation curves from diffusion experiments.
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    Bulletin of mathematical biology 23 (1961), S. 261-262 
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    Notes: Abstract A solution in quadratures is found for a special class of differential equations suggested by studies in the growth of competing populations.
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    Bulletin of mathematical biology 23 (1961), S. 237-260 
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    Notes: Abstract The tremendous complexity of even the simplest living unit makes a correct theoretical guess as to its mechanism very difficult. It is therefore suggested that, following the example of the physical sciences, a number of purely abstract cases in molecular biology be studied mathematically at first. Subsequent comparison of the different conclusions of such an abstract theory with available data would enable us to decide which of the conceivable situations are likely to occur in reality. As a first step toward such a study the problem of the minimal size of a living unit is studied. Usually the minimal size is considered to be determined by information-theoretical requirements. It is shown that the minimal size may have a very different origin. It may be determined by the possibility that too small a system, even though performing all necessary biological functions, may not be viable unless it is a member of a large group of other similar systems. This approach is developed both from a metric and from a relational point of view. Some relational characteristics of systems of reactions which possess the elementary metabolic properties of organisms are studied.
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    Bulletin of mathematical biology 23 (1961), S. 263-276 
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    Notes: Abstract In Yeh, Martinek and de Beaumont (Bull. Math. Biophysics,20, 203–16, 1958), a method is presented for determining successively better central multipole representations of the current generators in a homogeneous conducting sphere by measuring surface potentials at a successively increasing number of points. This paper generalizes the method such that the multipoles may be located at any chosen point in the conductor. The spherical harmonic expansion is advantageously used and the “interior sphere theorem” of Ludford, Martinek and Yeh (Proc. Cambridge Philos. Soc.,51, 389–93, 1955) makes possible disturbance potential expressions in closed forms. A method for approximate determination of the eccentricity is also presented. In the theory of electrocardiography, the eccentric multipoles can more accurately represent the heart as a current generator with fewer surface potential measurements than the central multipoles.
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    Bulletin of mathematical biology 23 (1961), S. 297-303 
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    Notes: Abstract Given three primary events, occurrences or nonoccurrences of two response classes and nonoccurrence of both response classes, with their respective probabilities to be known, and assuming the first two events are disjoint, this paper deduces the error equation of the incorrect response and the latency equation of the correct response under the condition of correlated reward situation.
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    Notes: Abstract Schemes are presented for induced synthesis of the dissociable enzyme in which repeated use of the template is made. The role of the inducer is to release the repression. A mathematical analysis is carried out and expressions are obtained to describe the kinetics of enzyme formation. A practical case (penicillinase synthesis) is compared with theoretically derived equations by using an analogue computer to simulate an enzyme forming system. A good correlation between theoretical and experimental data is obtained.
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    Bulletin of mathematical biology 23 (1961), S. 419-419 
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    European journal of wildlife research 1 (1955), S. 1-7 
    ISSN: 1439-0574
    Source: Springer Online Journal Archives 1860-2000
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary The hunting-science has rounded off itself in the course of the last about 50 years from the junction of its natural and intellectual scientific foundations under joining of the technical, economical and political factors, concerning hunting. There are represented its knowledge got thereby, as well as the problems due for the near future, the difficulties and possibilities in organizing, personal and real consideration.
    Abstract: Résumé La science de chasse s'est arrondie dans le courant des dernières environ 50 années de la fusion de ses bases scientifiques naturelles et intellectuelles, y compris les facteurs techniques, économiques et politiques concernat la chasse. Ses connaissance gagnées de cette manière et les tâches échues à l'avenir proche, les difficultés et les possibilités à l'égard d'organisateur, de personnel et d'objet sont représentées.
    Notes: Zusammenfassung Die Jagdwissenschaft hat sich im Laufe der letzten etwa 50 Jahre aus der Zusammenfassung ihrer natur- und geisteswissenschaftlichen Grundlagen unter Hinzutreten der die Jagd betreffenden technischen, wirtschaftlichen und politischen Faktoren abgerundet. Ihre dadurch gewonnenen Erkenntnisse und für die nähere Zukunft fälligen Aufgaben, die Schwierigkeiten und Möglichkeiten in organisatorischer, persönlicher und sachlicher Hinsicht werden dargestellt.
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    European journal of wildlife research 1 (1955), S. 32-33 
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    European journal of wildlife research 1 (1955), S. 29-32 
    ISSN: 1439-0574
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    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary On the same hunting ground on 100 ha area had been killed 15 hares by driving them towards the shooters and 24 hares by circular beats. The bag on young hares has been the same in either hunting-manner, whereas more old ones escaped the kill by driving the hares towards the shooters.
    Abstract: Résumé Dans la même varenne on a tué sur un district de 100 ha des 15 lièvres par placer les chasseurs en face des batteurs et des 24 lièvres par battue concentrique. C'est le même nombre des jeunes lièvres, qui est tué par les deux manières de chasser. Les chausseurs placés en face des batteurs plus des lièvres vieux s'échappaient.
    Notes: Zusammenfassung Im gleichen Jagdgebiet wurden auf 100 ha abgejagter Fläche bei Vorstehtreiben 15 Hasen, bei Kesseltreiben 24 Hasen erlegt. Die Strecke an Junghasen war bei beiden Jagdarten gleich groß, während bei den Vorstehtreiben mehr Althasen dem Abschuß entgingen.
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    European journal of wildlife research 1 (1955), S. 22-29 
    ISSN: 1439-0574
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    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Description / Table of Contents: Summary The growth of horns of the first three years is decisive for the size of the ripe trophy; from this reason the form of the horns during youth is especialy fit to draw from it conclusions as to the quality of the ripeness-form of the horns. The first two classes of age being to be recognized with security with regard to their age, the shooting off according the size of horns in the class of the yearlings and two years old ones, should be furthered. For this purpose there are given directions, according to the local experiences, for the distinction of males to be shot off and those promising for the time to come, within these two classes of age.
    Abstract: Résumé La croissance des cornes du chamois pendant les premières trois années c'est décicive pour la vigueur du trophée mûr; c'est pourquoi c'est la forme du corne pendant le jeune âge, qui est particulièrement propre à en tirer des conclusions à l'égard de la qualité de la forme de maturité du corne. Les premières deux classes d'âge étant connaissables avec certitude eu égard à leur âge, on devrait favoriser la chasse relectif dans la classe des animaux d'un et de deux ans. A cela d'après les expériences locales, des directions sont données pour la distinction des mâles à abattre et ceux-ci qui promettent des trophées forts pour le temps à venir dans ces deux classes d'âge.
    Notes: Zusammenfassung Das Kruckenwachstum der ersten drei Jahre ist entscheidend für die Stärke der reifen Trophäe; deshalb ist die Jugendform der Krucke besonders geeignet, aus ihr Rückschlüsse auf die Qualität der Reifeform der Krucke zu ziehen. Da die ersten beiden Altersklassen mit Sicherheit auf ihr Alter anzusprechen sind, sollte man den Wahlabschuß in der Klasse der Jährlinge und Zweijährigen fördern. Dazu werden nach den örtlichen Erfahrungen Richtlinien für die Unterscheidung von Abschuß- und Zukunftsböcken in diesen beiden Altersklassen gegeben.
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    European journal of wildlife research 1 (1955), S. 33-35 
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    European journal of wildlife research 1 (1955), S. 35-36 
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    European journal of wildlife research 1 (1955), S. 36-36 
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    European journal of wildlife research 1 (1955), S. 36-48 
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    European journal of wildlife research 1 (1955), S. 49-50 
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    European journal of wildlife research 1 (1955), S. 78-79 
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    Description / Table of Contents: Résumé Du territoire de Salzbourg (Tauern) on a pû constater que le vautour fauve (Gyps fulvus fulvus) soit devenu un oiseau d'été qui revient régulièrement. La limite inférieure de diffusion d'altitude est rapportée à 1000 m NN. Le nombre, annuel des vautours habitant ce territoire de Mai à September (en moyen 200 vautours d'oie) dépend directement du temps de départs des moutons pour les Alpes et du nombre départi. Les vautours fauve n'airent pas dans les Alpes de Salzbourg, ils viennent des Balkans après la couvaison au mois de Février. Les gypaètes barbus sont par contre devenus depuis 25 ans oiseaux de demeure dans ce territoire.
    Notes: Summary In the Tauern area near Salzburg the griffon-vulture (Gyps fulvus fulvus) is observed as a regular summer bird. The lowest limit of its occurrence is reported to be about 1000 m NN. The number of vultures living from Mai to September in this area (averagely about 200) shows an immediate dependence on the date of the departure of sheep for the Alpine pastures and the quantity of sheep to be found there. The griffon-vultures do not build their eyries in the Salzburg mountains, but they immigrate into this area after their hatching time in February, coming from the Balcans. The bearded vulture (Gypaetus barbatus), however, returned to keep to these same grounds since about 1930.
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    European journal of wildlife research 1 (1955), S. 80-81 
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    Description / Table of Contents: Résumé L'apparition de la gale des chamols s'est accrue d'une telle façon qu'on ne peut plus computer sur son extirpation complet. On peut seulement essayer d'empecher qu'elle ne se répande pas plus loin ou que des foyers de contagion neuf se forment. On a proposé d'installer un bureau central pour l'Autriche, la Bavière, la Suisse, l'Italie et la Yougoslavie et de rendre de rigueur la notification de l'apparition, de la gale de chamois aux autres pays.
    Notes: Summary The scab of the chamois has grown to such an extend that we cannot hope to exterminate it, but can only try to prevent further extension and the formation of new centres of contagion. With this end in view it has been recommended to create a common centre for the countries of Austria, Bavaria, Switzerland, Italy and Yugoslavia, together with an obligation to report new cases to all the countries above mentioned.
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    European journal of wildlife research 1 (1955), S. 75-77 
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    Description / Table of Contents: Résumé Depuis 1946 on a fait des recherches relatives au menu gibier le plus important de la Pologne le lièvre de champs (lepus europ. Pall.) dans les districts gouvernementaux de Gdansk et de Bydgoszcz à l'aide des butins de la chasse aux lièvres et au lièvres vivant. L'index moyen de rendement (lièvres tués sur 100 ha) est entre 15 et 50 pièces par 100 ha. La proportion moyenne entre hases et lièvres est de 50,7% ♂ et 49,3% ♀. Le poids moyen de 1404 lièvres tués en 1953 était de 4,2 kos, le poids maximal est 5 kos. Quoique l'été fût assez sec et qu'on suppose que la réproductibilité d'une paire de lièvres soit de 10 jeunes lièvres, on a pû constater par une hase tuée seulement 0,54 jeune lièrre. Il fut pour le moment impossible de trouver une raison objective pour cette proportion très base. Pour les autres parts de la Pologne l'année 1953 était une année de lièvres très mauvaise, et seulement les districts du Nord avaient une population satisfaisante. La part de la venaison par lièvre est en moyen 35,4% par poids moyen de 4,1 kos. La viande très maigre du lièvre contient 0,2% de graisse mais par contre approximativement 25% d'albumine.
    Notes: Summary Since 1946 there have been realized investigations about the most important small game of Poland, the field hare (Lepus europ. Pall.), uitilizing bagged and living hares in the administrative districts of Gdansk and Bydgoszcz. Results: Average index of production (=number of pieces of bagged hares on 100 ha) fluctuates between 15 and 50 hares/100 ha. The average proportion of sex is 50.7% of ♂ hares and 49.3% of ♀ hares. The average weight of 1404 hares shot in 1953 was 4.2 kilos; the maximum weight was 5 kilos. Although the summer of 1953 was dry in the district of Gdansk, only 0.54 young hares fell from 1 shot old, female hare in spite of the supposed average propagation of 10 young hares out of 1 couple of old hares. This small number may at present not be interpreted objectively. In other parts of Poland 1953 has been a really bad hare year, only the Northern districts had a good stock. The average eatable game part of a hare amounts to 35.4% of an average total weight of 4.1 kilos. The very lean hare meat contains 0.2% of fat, but about 25% of albumen.
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    European journal of wildlife research 1 (1955), S. 81-84 
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    Description / Table of Contents: Résumé L'eploration de la science de chasse est malheureusement peu soutenue par les gens de profession. Les appels faits en vue de recevoir le matériel nécessaire aux recherches, ont eu trés peu de succès. L'exploration doit de ce fait essayer d'avoir à sa disposition cantons d'essai, grilles et enclos pour pouvoir s'occuper sur une plus large échelle des bêtes vivantes. Cependant, il ne faut pas s'attendre d'avoir sous peu des résultats.
    Notes: Summary The research in the section of game management does not receive much support from practice. Appeals to provide material which is wanted for purposes of examination do not meet with much success. Therefore research has to attempt to organize special districts of investigation, enclosures, and preserves in order to be able to observe live animals to a greater extend. Results may not be anticipated within a short period of time.
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    European journal of wildlife research 1 (1955), S. 84-92 
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    European journal of wildlife research 1 (1955), S. 104-106 
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    European journal of wildlife research 1 (1955), S. 101-104 
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    Description / Table of Contents: Résumé La science de chasse a subi pendant le dernier siècle un tel élargissement et une telle consolidation, qu'il y faut maintenant apporter un examen, un ordre et une élimination. La manière d'envisager les faits varie selon les besoins et est différente s'il s'agit d'établir un exposé pour l'enseignement par exemple, ou d'établir la structure d'une matière bibliographique, ou de donner la description logique et mentale d'une continuité des problèmes.
    Notes: Summary The science of Game Management (or knowledge of Game Management) has experienced such an extension and consolidation in the course of the last century that this field requires to be sifted, ordered, and limited. According to circumstances, if a classification of matters for teaching purposes or for bibliographical purposes is intended, or if a representation of the logical and ideal relations of the problem is to be given, the results will always differ.
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    European journal of wildlife research 1 (1955), S. 99-100 
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    Description / Table of Contents: Résumé L'Union des Chasseurs Suèdois fondée il y a 100 ans a entamée pour la primière fois l'exploration du gibier en Suède. Ce fut cependant la Loi de Chasse de 1938 qui a rendu possible la création d'une organisation plus solide, ayant à sa disposition des moyens suffisants. Après un développement de plusieurs années le Gouvernement Suèdois vient d'installer cette année un Conseil indépendant pour l'exploration du gibier. Ce Conseil a les buts suivants: Suivre de près sur son domaine d'activité au développement tant à l'intérieur du pays qu'à l'extérieur. Créer une collaboration entre les diverses Organisations d'exploration et avoir soins d'éléver l'efficacité des recherches. Le Conseil doit soutenir en outre l'initiative importante de chaque Organisation pour l'exploration du gibier et au besoin saisir lui-même l'initiative pour encourager une telle exploratation. L'exploratation du gibier a lieu maintenant principalement à l'Université d'Economie Forestière à Stockholm sous la direction de M. le ProfesseurNotini et à l'Institut National vétérinaire de M. le Docteur med. vet.Borg. Certaines explorations pratiques seront l'objet des recherches faites par l'aide de champ de l'Union des Chasseurs,M. Nils Höglund.
    Notes: Summary Game Research in Sweden has been taken up in the first place by the “Swedish Union of Hunters”, founded over 100 years ago. Only the Shooting Law of 1938 made a firmer organization and the disposition of means possible. After several years' development there has been appointed by the Swedish Government in this year an independent Council for Game Research, which has the following tasks: The Council has to follow the development in its sphere of activity as well within its native country as in foreign countries. It has to act for a co-operation in research, which is carried through by different research organs, and to take care of the raise of research effectivity. Besides the Council has to support the initiative of every research, which is important for the care of game, and it has to seize the initiative for the promotion of such research itself, if required. At present game research is carried through chiefly by the “Academy of Forestry” at Stockholm (under direction of ProfessorNotini) and in the “National Veterinary College” (by Dr. med. vet.Borg). Besides there exists a certain practical investigation of the subject in the “Union of Hunters” by Field-AssistentNils Höglund.
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    European journal of wildlife research 1 (1955), S. 92-98 
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    Description / Table of Contents: Résumé Les interprétations données parM. Beninde sur les différences dans le poids des fauves ne sont pas satisfaisantes. On a surtout pas assez pris en considération les facteurs concernant la paisson. En 33 administrations de cantons on vient de vérifier les rélations entre le poids moyen des fauves et celles des conditions dans les cantons, la qualité de populations était entre 51,7 et 72,8 kos. Il était impossible d'établir une rélation quelconque entre les conditions de vie dans le canton et le poids de la venaison. Il était en particulier impossible de reconnaitre une influence exercé par le climat. De ces recherches on doit conclure, que les différences des mésures corporelles dépendent des dispositions de la race. La profusion des fauves, d'abord ferme, s'est relâcher en ilots isolés. Par l'abattement sans plan, une diminution des allèles dans ces groupes isolées a eu lieu, qui a amené une formation des différences raciales. Il en suit pour le pratique que, lièrement la qualité de l'état du gibier peur être seulement corrigé dans une mésure limitée par l'amélioration du paisson et 2ièmement, qu'on peut seulement avoir un succès par l'élimination, s'il y a encore des bonnes qualités héréditaire et que, 3ièmement il faut amener les bêtes ayant ces qualités héréditaire requises, si la population en est dépourvu.
    Notes: Summary The explanations given byBeninde for the differences in the body weight of red deer are not satisfactory, above all the factor of browsing has not been considered sufficiently. Rherefore the relation between the average weight of grown animals and the conditions of the district have been examined in 33 Forestry Districts of Western Germany. The quality of populations was between 51.7 and 72.8 kilos. There could not be proved relations between the conditions of the living space and the weight of game within larger areas, especially there could not be recognized any climatical influence. The investigations permit the conclusion that differences are caused by racial particularities concerning size of bodies. The originally close distribution of red deer has been dissolved into isolated isles. By arbitrary shooting a diminution of alleles within the isolated populations has taken place which is the cause of the formation of racial differences. For practical purposes we may draw the following conclusions: 1. the quality of a stock may be improved by improved browsing only up to certain limit, 2. the method of selective shooting may lead to good results if there are still hereditary qualities of good condition, 3. it is necessary to introduce heads of deer of better hereditary qualities, if such have disappeared out of the population.
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    European journal of wildlife research 1 (1955), S. 145-148 
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    Description / Table of Contents: Summary The first scientific prove of the occurrence of the louse of the wild boar (Haematopinus apri Goureau) in Germany was established in 1942. The auther investigates the occurence, development, nourishment, expressions of life, contagion, and the extent of seizure.
    Abstract: Résumé La présence du pou de sanglier (Haematopinus apri Goureau) en Allemagne fut pour la première fois établie en 1942. L'auteur traite ici l'habitat, le développement, la nourriture, la condition de vie, la transmissibilité et la force du saisissement.
    Notes: Zusammenfassung Der erste wissenschaftliche Nachweis des Vorkommens der Wildschweinlaus (Haematopinus apri Goureau) in Deutschland erfolgte 1942. Verfasser befaßt sich mit dem Vorkommen, der Entwicklung, der Nahrung, den Lebensäußerungen, der Übertragung und der Befallsstärke.
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    Monatshefte für Mathematik 65 (1961), S. 74-81 
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    Monatshefte für Mathematik 65 (1961), S. 159-169 
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    Monatshefte für Mathematik 65 (1961), S. 201-208 
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    Monatshefte für Mathematik 65 (1961), S. 183-200 
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    Monatshefte für Mathematik 65 (1961), S. 220-226 
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    Monatshefte für Mathematik 65 (1961), S. 249-251 
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    Monatshefte für Mathematik 65 (1961), S. 265-269 
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    Monatshefte für Mathematik 65 (1961), S. 233-235 
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    Monatshefte für Mathematik 65 (1961), S. 337-350 
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    Monatshefte für Mathematik 65 (1961), S. 291-300 
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    Monatshefte für Mathematik 65 (1961), S. 391-400 
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    Monatshefte für Mathematik 65 (1961), S. 82-87 
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    Monatshefte für Mathematik 65 (1961), S. 88-100 
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    Monatshefte für Mathematik 65 (1961), S. 143-149 
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    Monatshefte für Mathematik 65 (1961), S. 259-264 
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    Monatshefte für Mathematik 65 (1961), S. 213-219 
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    Monatshefte für Mathematik 65 (1961), S. 227-232 
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    Monatshefte für Mathematik 65 (1961), S. 252-258 
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    Monatshefte für Mathematik 65 (1961), S. 315-322 
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    Monatshefte für Mathematik 65 (1961), S. 323-336 
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    Monatshefte für Mathematik 65 (1961), S. 351-357 
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    Monatshefte für Mathematik 65 (1961), S. 358-365 
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    Monatshefte für Mathematik 59 (1955), S. 1-21 
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    Monatshefte für Mathematik 59 (1955), S. 22-26 
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    Monatshefte für Mathematik 59 (1955), S. 27-33 
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    Monatshefte für Mathematik 59 (1955), S. 34-42 
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    Monatshefte für Mathematik 59 (1955), S. 43-44 
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    Notes: Summary Though many forms of series of Bessel functions of increasing order appear in the literature, they all seem to involve a term by term increase in the order by unity, possibly by 1/2, or by some integer greater than unity, usually 2. InWatson's “Bessel Functions” (1) no case appears in which the increase in the order is not an integer or 1/2. The purpose of this note is to give the sums of series of the form $$\mathop \Sigma \limits_{n = 0}^\infty J{}_s(z) and \mathop \Sigma \limits_{n = 0}^\infty ( - 1)^n J{}_s(z)$$ and similar series involvingI s , wheres is of the form 2kn+v andk is any positive real number. Such series have occurred in the theory of heat conduction and fluid flow (2). The method is to replace the function by a contour integral of Schläfli type.
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