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21.
Recent measurements of differential and elastic cross-sections, slope parameters and ratios of the real and imaginary parts
of the forward scattering amplitudes for pion-proton elastic scattering at 200 GeV/c have been fitted by using a simple Regge
pole model with phenomenological residue functions. The computed results for total cross-sections have also been compared
with the experimental data. 相似文献
22.
QIAN Jiang CHENG Mingsong & XU Shufang LMAM School of Mathematical Sciences Peking University Beijing China 《中国科学A辑(英文版)》2005,48(3):307-321
In this paper we present a new algorithm for the single-input pole assignment problem using state feedback. This algorithm is based on the Schur decomposition of the closed-loop system matrix, and the numerically stable unitary transformations are used whenever possible, and hence it is numerically reliable.The good numerical behavior of this algorithm is also illustrated by numerical examples. 相似文献
23.
The most recently measured differential cross-section data forπ
−
p → η’n has been fitted by using a simple Regge pole model with phenomenological residue functions. It has also been observed that
this inelastic process has the scaling property. 相似文献
24.
Abdelkader Krifa 《Journal of Difference Equations and Applications》2019,25(1):84-96
In this paper, we prove the possibility of optimization of some free parameters of Meixner-like discrete-time linear filters using orthonormal basis functions (OBF) in an analytical way. Since the z-transform of the Meixner filters is impossible and it is possible for Meixner-like filters, we are motivated to study closely the optimization of the Meixner-like's pole. As a result, the differential equation associated with Meixner-like filters has been developed. On the other hand, the effective width of the energy distribution in the transformation domain is a function of the free parameter (Meixner-like pole) and simple signal measurements and can be calculated by the second-order moment. Analytic minimization of the second-order moment gives an optimal value of the free parameter. To validate the effectiveness of the proposed approach, numerical results are used to determine the free parameters. 相似文献
25.
Laplacian growth without surface tension in filtration combustion: Analytical pole solution 下载免费PDF全文
Oleg Kupervasser 《Complexity》2016,21(5):31-42
Filtration combustion (FC) is described by Laplacian growth without surface tension. These equations have elegant analytical solutions that replace the complex integro‐differential motion equations by simple differential equations of pole motion in a complex plane. The main problem with such a solution is the existence of finite time singularities. To prevent such singularities, nonzero surface tension is usually used. However, nonzero surface tension does not exist in FC, and this destroys the analytical solutions. However, a more elegant approach exists for solving the problem. First, we can introduce a small amount of pole noise to the system. Second, for regularization of the problem, we throw out all new poles that can produce a finite time singularity. It can be strictly proved that the asymptotic solution for such a system is a single finger. Moreover, the qualitative consideration demonstrates that a finger with of the channel width is statistically stable. Therefore, all properties of such a solution are exactly the same as those of the solution with nonzero surface tension under numerical noise. The solution of the Saffman–Taylor problem without surface tension is similar to the solution for the equation of cellular flames in the case of the combustion of gas mixtures. © 2014 Wiley Periodicals, Inc. Complexity 21: 31–42, 2016 相似文献
26.
This paper investigates the exact and approximate spectrum assignment properties associated with realizable output-feedback pole-placement type controllers for single-input single-output linear time-invariant time-delay systems with commensurate point delays. The controller synthesis problem is discussed through the solvability of a set of coupled diophantine equations of polynomials. An extra complexity is incorporated to the above design to cancel extra unsuitable dynamics being generated when solving the above diophantine equations. Thus, the complete controller tracks any arbitrary prefixed (either finite or delaydependent) closed-loop spectrum. However, if the controller is simplified by deleting the above mentioned extra complexity, then the robust stability and approximated spectrum assignment are still achievable for a certain sufficiently small amount of delayed dynamics. Finally, the approximate spectrum assignment and robust stability problems are revisited under plant disturbances if the nominal controller is maintained. In the current approach, the finite spectrum assignment is only considered as a particular case to the designer‘s choice of a (delay-dependent) arbitrary spectrum assignment objective. 相似文献
27.
细杆在抛物线壁内支承,平衡特性与杆长、倾角和摩擦因子相关.细杆在自身重力作用下可发生焦点下方的顺时针运动,焦点上方的逆时针运动以及两端同时下滑.基于端部支撑力达到摩擦锥边界的条件,可确定细杆状态为不平衡、稳定或不稳定的平衡和摩擦平衡.平衡集为具有宽度的叉式分岔. 相似文献
28.
29.
The propagators of pion and sigma meson at a finite nuclear density and zero
temperature are studied in chiral σ model. Their dispersion
relations are calculated numerically in one-loop approximation. In order to
avoid the so-called tachyon pole appearing in the one-loop propagators of pion and sigma meson, we regard the mass of sigma meson
mσ as a free
parameter and adjust it to fit the nuclear saturation properties. For
mσ equal to 3075 MeV, the tachyon pole does not appear at the normal nuclear density. Thus the dispersion relation can be calculated in chiral σ model in one-loop
level for the first time. 相似文献
30.
测量了 ZBL AN玻璃中 Pr3 ,Pr3 Yb3 的吸收光谱和 Pr3 的荧光发射波长 .分析了 Pr3 / Yb3 共掺光纤放大器中的能量转移过程 ,运用电多极子理论和多声子辅助能量转移理论计算了 Pr3 和 Yb3 之间的能量转移几率 .对离子掺杂浓度 ,泵浦波长对 Pr3 和 Yb3 之间能量转移的影响进行了讨论 ,得到了最佳掺杂浓度和泵浦波长 .此时 Pr3 / Yb3 共掺的光纤放大器具有最大的荧光强度和最高的增益 . 相似文献