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41.
Machiel Van Frankenhuysen 《Journal of Number Theory》2002,95(2):289-302
Following Elkies (Internat. Math. Res. Notices7 (1991) 99-109) and Bombieri (Roth's theorem and the abc-conjecture, preprint, ETH Zürich, 1994), we show that the ABC conjecture implies the one-dimensional case of Vojta's height inequality. The main geometric tool is the construction of a Belyǐ function. We take care to make explicit the effectivity of the result: we show that an effective version of the ABC conjecture would imply an effective version of Roth's theorem, as well as giving an (in principle) explicit bound on the height of rational points on an algebraic curve of genus at least two. 相似文献
42.
从粒子一转子模型分析了奇A核K=1/2带的带交叉.脱耦合项的出现可引起回弯频率异常.在[541]↓的情况下,造成的回弯推迟可与实验观测值相比拟. 相似文献
43.
设k,r分别是自然数和非零整数,Jk(n)是Jordan函数.文[3]求出了和式∑n≤xJrk(n)的渐近公式.以E(x;k,r)表示该公式中的误差项,本文研究了E(x;k,r)的算术均值和积分均值 相似文献
44.
Yao-junYe 《应用数学学报(英文版)》2004,20(1):93-100
In this paper we show the decay of solutions to the initial-boundary value problem for somenonlinear hyperbolic equation with a nonlinear dissipative term,by using a difference inequality. 相似文献
45.
Claude Ederer Matej Komelj James W. Davenport Manfred Fhnle 《Journal of Electron Spectroscopy and Related Phenomena》2003,130(1-3):97-100
The magnetic dipole term T appearing in the X-ray magnetic circular dichroism (XMCD) spin sum rule can be eliminated from the analysis within the spin sum rule by angle-dependent XMCD spectroscopy if the effects of spin–orbit coupling are small so that Tx+Ty+Tz≈0. It is shown by the ab initio electron theory for the extreme case of a low-dimensional system, i.e., for a free-standing monatomic Co wire that this relation is strongly violated, indicating that the determination of T by the angle-dependent XMCD is possibly not very reliable for low-dimensional magnetic systems. 相似文献
46.
Franciszek Hugon Szafraniec 《Numerical Algorithms》2003,33(1-4):475-483
We discuss a possibility of deciding whether measures representing a moment sequence or realizing orthogonality of polynomials have atoms. This is done on the real line and in several variables. 相似文献
47.
R. G. Vishwakarma 《General Relativity and Gravitation》2001,33(11):1973-1984
Models with a dynamic cosmological term (t) are becoming popular as they solve the cosmological constant problem in a natural way. Instead of considering any ad-hoc assumption for the variation of , we consider a particular symmetry, the contracted Ricci-collineation along the fluid flow, in Einstein's theory. We show that apart from having interesting properties, this symmetry does demand to be a function of the scale factor of the Robertson-Walker metric. In order to test the consistency of the resulting model with observations, we study the magnitude-redshift relation for the type Ia supernovae data from Perlmutter et al. The data fit the model very well and require a positive non-zero and a negative deceleration parameter. The best-fitting flat model is obtained as 0 0.5 with q
0 –0.2. 相似文献
48.
具强迫力的奇数阶中立型微分方程的振动性 总被引:3,自引:0,他引:3
Abstract. In this paper, the forced odd order neutral differential equations of the form are con-sidered 相似文献
49.
Anirudh Pradhan Purnima Pandey Kanti Jotania Mahesh Kumar Yadav 《International Journal of Theoretical Physics》2007,46(11):2774-2787
Plane symmetric viscous fluid cosmological models of the universe with a variable cosmological term are investigated. The
viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density whereas the coefficient of shear
viscosity is to be proportional to rate of expansion in the model. We have also obtained a special model in which the shear
viscosity is assumed to be zero. The cosmological constant Λ is found to be a decreasing function of time and a positive which is supported by results from recent supernovae Ia observations.
Some physical and geometric properties of the models are also discussed. 相似文献
50.