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ＡｓｓｉｇｎａｔｉｏｎｏｆＡｃｉｄｉｃＤｉｓｓｏｃｉａｔｉｏｎＣｏｎｓｔａｎｔｓｏｆＤｉｍｅｔｈｏｘｙｐｈｅｎｙｌｆｌｕｏｒｏｎｅａｎｄＤｉｂｒｏｍｏｄｉｍｅｔｈｙｌａｍｉｎｏｐｈｅｎｙｌｆｌｕｏｒｏｎｅＣｈｅｎＴｉａｎ－Ｍｉｎｇ；ＷａｎｇＤｏｎｇ－... 相似文献
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利用Cauchy中值定理给出Pachpatte B G建立的一个Grüss型积分不等式的单参数推广. 相似文献
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修正了以第二类Chebyshev多项式的零点为插值结点组的拟Grünwald插值多项式,使之转化为积分形式,并利用不等式技巧和Hardy-Littlewood极大函数的方法,研究了此积分型拟Grünwald插值算子在带权Orlicz空间内的逼近问题,得出了意义相对广泛的逼近度估计的结果. 相似文献
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This article is a continuation of the article [F. Zhang, Ger?gorin type theorems for quaternionic matrices, Linear Algebra Appl. 424 (2007), pp. 139–153] on the study of the eigenvalues of quaternion matrices. Profound differences in the eigenvalue problems for complex and quaternion matrices are discussed. We show that Brauer's theorem for the inclusion of the eigenvalues of complex matrices cannot be extended to the right eigenvalues of quaternion matrices. We also provide necessary and sufficient conditions for a complex square matrix to have infinitely many left eigenvalues, and analyse the roots of the characteristic polynomials for 2?×?2 matrices. We establish a characterisation for the set of left eigenvalues to intersect or be part of the boundary of the quaternion balls of Ger?gorin. 相似文献
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基于二级轻气炮和多通道辐射高温计,测量了45~85 GPa压力范围内NaCl单晶的B2相区、B2-液相混合相区和液相区的高压声速和温度。通过高压声速数据,确定了NaCl单晶的冲击熔化压力区间为58~67 GPa。当压力为67 GPa时,NaCl单晶的冲击熔化温度为3 740 K。计算了NaCl单晶的等熵体模量、Grüneisen系数和定容比热容,对比分析了多种模型对Grüneisen系数高压演化特性的描述。结果显示,根据吴强模型计算的Grüneisen系数不但在液相区与冲击压缩实验结果吻合得非常好,而且在低压区也与金刚石压砧实验结果及有限应变计算结果吻合得非常好。
相似文献8.
Gauss sums play an important role in number theory and arithmetic geometry. The main objects of study in this paper are Gauss sums over the finite field with q elements. Recently, the problem of explicit evaluation of Gauss sums in the small index case has been studied in several papers. In the process of the evaluation, it is realized that a sign (or a root of unity) ambiguity unavoidably occurs. These papers determined the ambiguities by the congruences modulo L, where L is certain divisor of the order of Gauss sum. However, such method is unavailable in some situations. This paper presents a new method to determine the sign (root of unity) ambiguities of Gauss sums in the index 2 case and index 4 case, which is not only suitable for all the situations with q being odd, but also comparatively more efficient and uniform than the previous method. 相似文献
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应用经典径迹Monte Carlo（CTMC）方法研究了He2+与H原子在等离子体环境下的碰撞电离过程,计算了在5—400 keV/u的能区随等离子体屏蔽作用变化的碰撞电离总截面和一阶微分截面.等离子体中带电粒子之间的相互作用采用Debye-Hückel模型来描述.由于等离子体屏蔽效应的存在,靶中束缚态电子能级及其经典微正则分布以及入射离子与靶电子的相互作用都发生了变化,而这些变化会直接影响碰撞电离过程.研究发现,碰撞电离总截面随等离子屏蔽的增加而增大,特别是在10 keV/u以下的低能区电离截面有量级的增加.对随能量变化的一阶微分截面,在低能碰撞过程中,屏蔽作用增加,微分截面呈量级增加,高能碰撞微分截面呈倍数增加.同时,屏蔽作用导致电离电子向高能方向移动,随着碰撞能量的增加两体碰撞机制的贡献越来越大,并在较高的出射电子能量出现了一个新的峰.对无屏蔽的自由原子碰撞过程,CTMC方法计算出的电离总截面在碰撞能量大于70 keV/u的较高能区在实验误差内与实验测量结果符合很好,而在较低的能区比实验值小30%—50%.关键词：重粒子碰撞电离等离子体屏蔽效应经典径迹Monte Carlo方法Debye-Hückel模型 相似文献