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  • 1
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 31 (1990), S. 791-797 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The maximum entropy principle is used to obtain a new analytic extrapolation method just complementary to the Padé-type method which leads to rigorous upper and lower bounds on the extrapolated function on the cut complex plane. Among the large class of functions that could equally well represent an analytical function in the experimental region a choice is made of the unique function that maximizes the entropy functional associated to this set of functions. The result is the least biased function compatible with the actual experimental data. This extrapolation method is applied to kaon–nucleon experimental data in order to obtain the most reasonable values for the KNY coupling constants compatible with the available experimental data and analytical constraints.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 27 (1986), S. 104-115 
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Positivity and unimodality hypotheses on an unknown function χ1(x) confer Stieltjes character to another function H1(z), known in a discrete set of real points and affected by errors caused by experimental measurements, and impose constraints on the coefficients of its formal expansion which limit the universe of approximant functions, so acting as stabilizers of the analytic extrapolation. The type I Padé approximants, built with the coefficients of the formal expansion, provide rigorous bounds on the function in the cut complex plane. The application of a Stieltjes–Chebyshev technique allows approximations to the function, even on the cut, to be obtained. The physical problem of K±p forward elastic scattering is approached by the previous method, and bounds on the coupling constant and real part of the amplitude are found.
    Type of Medium: Electronic Resource
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  • 3
    ISSN: 1365-2109
    Source: Blackwell Publishing Journal Backfiles 1879-2005
    Topics: Agriculture, Forestry, Horticulture, Fishery, Domestic Science, Nutrition
    Notes: One of the main limiting factors in the use of artificial incubation techniques on crayfish farms has been the widespread belief that eggs should be stripped from females in the late stages of embryogenesis. In order to disprove this idea, three different times for egg removal were tested in white-clawed crayfish, Austropotamobius pallipes (Lereboullet): (1) just before the gastrulation process (mean degree days= 335, 34 days after spawning); (2) when the embryo was between the closing of the blastopore and the appearance of mandibular rudiments (mean degree days= 524, 56 days after spawning); and (3) when the embryo had thoracic appendage rudiments (mean degree days= 810, 92 days after spawning). The results showed that it is possible to attain acceptable survival rates up to juvenile stage 2 (51%), even when eggs have been detached at the earliest time (34 days after spawning), in such a way that artificial incubation is used for more than three-quarters (75.7%) of the total duration of the embryonic development. Factors such as the incubation device, water quality and incubation conditions have a major influence on the success of the process. Finally, a critical period was observed during the last stages of development in the present study, particularly between the eyed stage and juvenile stage 2, with mortality rates of between 26.7% and 56%.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 6 (1980), S. 21-26 
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The British-French-Scandinavian collaboration has recently studied the non trigger charged mean momentum in different rapidity regions on the trigger hemisphere, 〈p x〉, in the collision of two hadrons at the CERN Intersecting Storing Rings (ISR). In particular, they give for the rapidity regions |y|〈0.5 and |y|〈1 the values of the slope, α, of 〈p x〉 with the trigger momentum,p T t . Several authors have analysed those values of α in the framework of hard scattering models which predict values independent ofp T t for 〈z c〉, the longitudinal momentum fraction of the outgoing hard scattered system taken by the trigger. From this analysis they give estimates of 〈z c〉 of very difficult reconcilliation with those calculated in the Feynman, Field and Fox hard scattering model or in the QCD treatment of highp T hadron production. The authors of the present paper have looked for, and found, other data whose model independent analysis is more feasible than that of the data mentioned above. More specifically, we analyse in the framework of the hard scattering models, but otherwise model independently, data on 〈p x〉 in two other rapidity regions (|y|〈3, 2〈|y|〈3) and find that consistence of the average slopes, α, in these two regions is only achieved with mean values of 〈z c〉 significantly, increasing withp T t and close in value to those obtained by Feynman et al. [6, 7].
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 31 (1986), S. 417-420 
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Positivity and unimodality of the imaginary part of the forwardK − p elastic amplitude on the unphysical cut allow the simultaneous calculation of theg KN Λ/2 andg KN Σ/2 , using exclusively experimental data on theK − p channel. The bounds obtained are 11.4〈g KN Λ/2 〈13.6 and 1.0〈g KN Σ/2 〈4.3, and the allowed region for the real zero of the amplitude is 0.147〈ω R 〈0.150 GeV/c.Both coupling constants produceF-type coupling fraction: 0.24〈α〈0.36, according toSU(3) symmetry.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1434-6052
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract It has been widely argued that the experimental evidence concerning the momentum accompanying highp T triggers is a grave problem for models which take the trigger hadron to be a quark fragment. It is claimed that the trigger hadron takes much too large a fraction (z c ) of the jet momentum for the trigger side jet to be a quark. The jet momentum is not directly measured, but deduced from the derivative of the momentum (p x ) accompanying the trigger with respect to the trigger transverse momentum-p T t . This argument is shown to be unsafe. Using both an approximate analytic approach to illustrate the physics and subsequently a full numerical computation it is proved that the deduction of the fractional momentum accompanying the trigger, 1/z c −1, fromdp x /dp T t is not correct. Further we show that models—specifically that of Feynman and Field—which do take the trigger to be a quark fragment are essentially in agreement with the data on trigger side momentum distributions. A surprising prediction of our analysis is thatp x should be approximately constant forp T t ≧6GeV/c.
    Type of Medium: Electronic Resource
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  • 7
    ISSN: 1434-9949
    Keywords: Manifestations ; Immunological Parameters ; SLE Subgroups
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary We analysed the prevalence of clinical manifestations and immunological parameters in 194 patients with SLE and classified them in subgroups according to age at onset, gender and type of antibodies: we detected significant differences in the various subgroups. In SLE that initiated before the age of 20 years, the most frequent manifestation at onset was malar rash (25% vs 14%). During the course of the disease, this group had a greater prevalence of malar rash (70% vs 45%), mouth ulcers (48% vs 29%), and convulsions or psychosis (35% vs 17%). In SLE that initiated late in life (after 50 years) malar rash was less frequent at onset and during subsequent evolution of the disease (27% vs 45%). The existence of ANA, and elevated values of anti-dsDNA, anti-ENA and antiphospholipid antibodies also differentiated the SLE subgroups with clinical significance.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 28 (1993), S. 269-273 
    ISSN: 1434-6079
    Keywords: 31.10. + z ; 31.15. + q
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract Rigorous upper and lower bounds to the atomic Compton profileJ(q) are obtained for any value of the momentum transferredq in terms of radial expectation values 〈p n 〉 of the atomic momentum density γ(p). In doing so, a procedure based on moment-theoretic techniques and Chebyshev inequalities has been used. This type of results can be employed to study the compatibility of diverse information obtained by using different models, techniques, numerical calculations or experimental data. The same method allows also to obtain approximations to the Compton profile and to bound other relevant characteristics ofJ(q). A comparison of the approximations with some previously known Maximum Entropy Approximations is done. In order to test the accuracy of the bounds, a numerical study of the results is carried out in a Hartree-Fock framework for atomic systems.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    The European physical journal 7 (1999), S. 479-485 
    ISSN: 1434-6079
    Keywords: PACS. 31.10.+z Theory of electronic structure, electronic transitions, and chemical binding - 31.15.-p Calculations and mathematical techniques in atomic and molecular physics (excluding electron correlation calculations)
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Maximum-entropy (ME) approximations to density functions involving logarithmic constraints are studied. It is proved the existence and uniqueness of the ME approximation constrained by the normalization, the geometric mean and (i) a moment of arbitrary order, or (ii) the logarithmic uncertainty. A numerical analysis of the accuracy of these ME approximations is carried out for the radial electron densities of neutral atoms in both position and momentum spaces.
    Type of Medium: Electronic Resource
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  • 10
    Electronic Resource
    Electronic Resource
    New York, NY : Wiley-Blackwell
    International Journal of Quantum Chemistry 61 (1997), S. 77-83 
    ISSN: 0020-7608
    Keywords: Chemistry ; Theoretical, Physical and Computational Chemistry
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Chemistry and Pharmacology
    Notes: The one-particle density in momentum space γ(p) is studied for diatomic molecules by using the maximum-entropy technique. The knowledge of one or more momentum expectation values 〈pn〉 provides approximations on the density γ(p) for any value of the momentum, which are convergent when increasing the number of known moments. Other unknown expectation values are estimated in terms of the constructed maximum-entropy densities. A numerical study of the quality of the approximations is carried out by means of experimental and theoretical data for the momentum expectation values involved. Experimental errors are also taken into account to have an idea of the sensibility of the results to the information from which they are obtained. © 1997 John Wiley & Sons, Inc.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
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