查询词典 archimedically ordered number field

This is quite useful: one may safely enlarge the field ''K'', for instance to get an algebraically closed field; Jordan forms can then be computed over the large field and can be used to determine whether the given matrices are similar over the small field.

不是所有的矩阵都可以对角化，但至少在复数域内，所有的矩阵都相似于一些被称为

State Key Laboratory of Millimeter Waves, Southeast University , Nanjing 210096, ChinaIn this paper, it is proven that the divergence relationship of electric-field and magnetic-field is non-zero even in charge-free regions, when the electric-field and magnetic-field are calculated with Alternating Direction Implicit Finite-Difference Time-Domain method, and the concrete expression of the divergence relationship is derived.

摘要该文证明了即使在无源区域，交替方向隐式时域有限差分法所给出的电磁场量不满足零散度关系，同时推导出了该散度关系的具体表达式。

CAN field-bus is a kind of serial communication network, which supports distributed control or real-time control effectively. Because of its excellent characteristic and high reliability, CAN field-bus is highly thought of by industries. As the main data channel, 1553B field-bus relates various subsystems that are included in the integrated electronic system of avigation. Due to its excellent performances, 1553B field-bus has been widely applied in avigation, spaceflight, navigation and other weapon equipment.

CAN现场总线是一种有效支持分布式控制或实时控制的串行通信网络，具有卓越的特性和极高的可靠性，受到工业界的高度重视。1553B现场总线作为航空电子综合系统中各子系统之间交联的主要数据通道，因其性能优异，已在航空、航天、航海和其他装备上得到广泛的应用。

In the space filled with dielectric, Coulomb's law should be: F = kQ1Q2r2.V in the electric field generated dielectric polarization bound charge and bound charge generated within the medium electric field, and external electric field in the opposite direction, so to diminish the external electric field.

在充满电介质的空间里，库仑定律应为：F＝kQ1Q2r2.V在电场作用下电介质极化产生束缚电荷，束缚电荷在介质内部产生电场，与外电场方向相反，所以使外电场减弱。

The proposed method has the merit that the numerical characteristics of stochastic temperature field response can be obtained by analyzing the random temperature field just in one time.3. Perturbed numerical algorithm of nonprobabilistic convex set theoretical models on the temperature fieldThe uncertain parameters of physical parameters and initial boundary conditions of heat conduction are described by the convex model. The perturbation formulas of the upper and lower bounds of temperature field response with unknown-but-bounded parameters are given via the combination of matrix perturbation theory and the convex set theory model.4. Numerical analysis for transient temperature field with interval parametersConsidering the uncertainties of the transient heat transfer, the physical parameters and initial boundary conditions are regarded as interval variables.

该方法具有只进行一次随机温度场分析便可以获得其响应的数字特征的优点。3、温度场的非概率凸集合理论模型的摄动数值解法将结构导热的物理参数、温度场的初始和边界条件等不确定性参数以凸模型加以描述，基于矩阵摄动理论和处理不确定问题的凸集合理论模型的结合，导出有界不确定参数瞬态温度场响应所在集合的上、下界摄动计算公式。4、具有区间参数的瞬态温度场数值分析考虑结构瞬态热传导问题的不确定性，将结构各物理参数和温度的初、边值条件均视为区间变量。

Having introduced a set of dimensionless parameters, the spatial distributive function of the magnetic field and the induced electric field is made dimensionless and is applied to the computation and computer simulation of spatial distribution of the magnetic field and the electric field induced by a circular coil and a 8-shaped coil based on MATLAB.

在确定了一些无量纲参数后，对磁场及感应电场的分布函数进行无量纲化，并用于基于MATLAB环境下圆形、8字形线圈磁场及产生的感应电场的计算及其分布的计算机仿真。

A theoretical description of the deformed state of QCs requires a combined consideration of interrelated phonon and phason field. The phonon field describes the motion of lattices in physical space, while the phason field describes the quasiperiodic arrangement of atoms in the complementary orthogonal space, which interact with one another. Owing to the existence of phason field, the elasticity of QCs is more complex than that of the conventional crystals.

准晶弹性的刻画不仅需要描写晶格振动的声子场，还需要刻画原子准周期排列的相位子场，而且二者是相互耦合的，所以准晶的弹性较经典的一般晶体的弹性复杂的多。

We started with easy points and proceeded with mounting difficulty, and have focused on the concernful concept-field, then respectively discussed and analysed the interplay among charges and currents, the unification between electric field and magnetic field, the distribution of electromagnetism, and the corporality of electromagnetic field, and so on. we also have made some ambiguous questions clear.

对电磁学中某些重要概念和疑难问题的研究，采用从点到面、由浅入深的方式，以"场"这个重要概念作为核心，分别对电荷、电流间的相互作用，电磁场的统一和分布情况，以及电磁场物质性体现这几个方面进行讨论、分析，并解释某些模糊的、容易引起混淆的疑难问题。

The inconsistencies of dimensional reduction and naive dimensional regularization in dealing withChern-Simons-matter theory are analyzed.The consistent dimensional regularization combiningwith higher covariant derivative regularization is adopted to consider Chern-Simons field theorycoupled to complex scalar and spinor field.All the local parts of one-loop two-point functionsand three-point functions are computed.Slavnov-Taylor identity is combined with these explicitcalculation results to give the one-loop local effective action.The finite gauge invariant quantumcorrection is shown and finite wave function renormalization constant for each field is defined.Thelocal part of one-loop three gauge field vertex is especially evaluated and it is verified that thereexists a renormalization choice compatible with BRST symmetry.

然后计算了所有的两点函数和三点函数单圈修正的定域部分，利用S-T恒等式给出了单圈定域有效作用量，定义了场的重正化常数，发现物质场和规范场都存在有限的规范不变的量子修正，并讨论了这些有限的规范不变的量子修正的物理意义，进而通过考察单圈三规范场顶角，表明存在与BRST对称性相容的重正化选择。5、在背景场方法的框架下，选择高阶协变导数正规化与维数正规化的杂化正规化方案计算了背景场两点函数的两圈量子修正，结果表明，标志紫外发散的极点项恰好抵消；进一步利用背景场方法中明显的规范对称性，证明背景场三点函数的两圈图贡献也是有限的。

Since the multiple scattering should be considered, the scattering problem of many-cylinders is more complicated than single cylinder. By using scattering matrix method to solve the scattering problem of many-cylinders, first we have to express the incident fieldand scattered field by special function（for example, Bessel function and Hankel function）under cylindrical coordinate, then use the addition theorem of special function to get a linear system of equations to relate the incident field coefficients and scattered field coefficients. The incident and scattered field coefficients for every cylinder can be solved from the linear equations by matching electromagnetic boundary condition pointwisely.

单颗圆柱散射体的散射场解析解很早就被解出，而多个圆柱阵列的散射场问题因为涉及到入射光在圆柱与圆柱间的多重散射，故散射行为较单颗圆柱的散射复杂，因此圆柱阵列的多重散射问题需要利用加法定理来处理；散射矩阵法的主要精神即是先用圆柱座标下的特殊函数对平面波和圆柱散射体的内外域电磁场做无穷级数展开，再藉由特殊函数的加法定理将所有圆柱散射体的展开中心移到同一个展开中心，最后可以得到一组连结整个散射系统的入射电磁场系数及散射电磁场系数的线性方程组，将该组线性方程配合电磁场在散射体边界的连续条件，便可分别求出圆柱阵列中各个圆柱体的内部电磁场与外部散射场，再利用线性叠加原理即可求得整个圆柱系统的全域电磁场分布。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。