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61.
In this paper, we provide tight estimates for the divisor class number of hyperelliptic function fields. We extend the existing methods to any hyperelliptic function field and improve the previous bounds by a factor proportional to with the help of new results. We thus obtain a faster method of computing regulators and class numbers. Furthermore, we provide experimental data and heuristics on the distribution of the class number within the bounds on the class number. These heuristics are based on recent results by Katz and Sarnak. Our numerical results and the heuristics imply that our approximation is in general far better than the bounds suggest.
62.
A study of ion sculpting dynamics in SiO2 and SiN using periodically pulsed ion beams reveals material transport that depends strongly on the time structure of the pulsed beams. It is found that significant nanoscale matter transport can occur over second long time scales after the ion beam has been extinguished. A simple phenomenological model described the dynamics of ion beam sculpting in terms of two material time scales. The model accounts for the surprising observation of enhanced matter transport affected by pulsed ion beams over continuous ion beam exposure. 相似文献
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66.
The change in the light-scattering patterns upon deforming two-dimensional disordered spherulites is shown to arise from four effects occurring upon stretching: (1) the change in shape of the spherulite, (2) the change in average orientation of the optic axes of the scattering volume elements, (3) the change in deviation of the optic axis orientation angle from its average value, and (4) the change in the distance over which this deviation is correlated. The effects of these contributions upon the experimental scattering patterns are analyzed. 相似文献
67.
W. A. Stein 《Heat and Mass Transfer》1969,2(4):210-221
Zusammenfassung Methoden zum Aufstellen von Gleichungen für die dynamische Viskosität und die Wärmeleitfähigkeit reiner fluider Stoffe werden angegeben und ihre Brauchbarkeit wird bei H2O nachgewiesen. Es ergibt sich nur jeweils eine Gleichung für die Berechnung der Transportgrößen, die allerdings die Variablen Temperatur und Dichte anstelle von Temperatur und Druck enthält, dafür aber das ganze Gas- und Flüssigkeitsgebiet erfaßt. Es werden neue Erkenntnisse über die prinzipielle Abhängigkeit der Transportgrößen von Temperatur und Dichte gewonnen.
Über dieses Thema wurde am 6. 10. 1969 auf dem Thermodynamik-Kolloquium des VDI in Zürich berichtet. 相似文献
Equations for the dynamic viscosity and the thermal conductivity of pure fluid water substance
Methods for formulating equations for the dynamic viscosity and the thermal conductivity of pure fluid substances are given; their applicability is proved for H2O. It is found that only one equation is needed to calculate the transport properties, which has the variables temperature and density instead of temperature and pressure, but covers the whole gaseous and liquid region. New knowledge of the principal dependence of the transport properties on temperature and density is attained.
Über dieses Thema wurde am 6. 10. 1969 auf dem Thermodynamik-Kolloquium des VDI in Zürich berichtet. 相似文献
68.
W.B. Atwood E.D. Bloom R.L.A. Cottrell H. DeStaebler M. Mestayer C.Y. Prescott L.S. Rochester S. Stein R.E. Taylor D. Trines 《Physics letters. [Part B]》1976,64(4):479-482
Inelastic electron scattering cross sections have been measured for four-momentum transfers between 4.1 GeV2 and 30.5 GeV2. At the large scattering angles of this experiment, the dominant contribution to the cross section comes from the W1 structure function. In the conventional scaling variables, x and x′, this structure function does not exhibit scaling behavior, and at fixed x or x′ it is found to decrease with increasing four-momentum transfer. 相似文献
69.
S.K Stein 《Journal of Combinatorial Theory, Series A》1974,16(3):391-397
A theorem in convex bodies (in fact, measure theory) and a theorem about translates of sets of integers are generalized to coverings by subsets of a finite set. These theorems are then related to quasigroups and (0, 1)-matrices. 相似文献
70.
Robert E. Prud'homme Richard S. Stein 《Journal of Polymer Science.Polymer Physics》1973,11(7):1357-1374
A general equation describing the small-angle Hv light-scattering intensity for a system of N undeformed spherulites located at random within the sample and taking into account the truncation and interference effects is given. Scattering contour plots or radial scans are reported for various arrangements of the N spherulites. The results show that the interference effect may explain the speckled appearance of the experimental patterns. Moreover, the interference and truncation effects (for the special cases where truncation is considered here) do not seem to shift the position of the maximum scattering angle of the cloverleaf pattern as calculated from the single spherulite theory. Finally, the calculations show that the truncation effect increases the relative intensity of the pattern at large and low scattering angles and at azimuthal angles 0 and 90°C, as compared with the intensity at the position of maximum scattering angle. 相似文献