查询词典 The Matrix

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

In his opinion: freedom in modern society is a kind of inter-control relationship between human and objects, that is an illusion of freedom; personality is the outcome of the batch production of consumer system; it is a kind of self-shoot, a shadowy self-comfort and satisfaction; the aesthetic distance formed the lonely state of modern human, this makes favor and identity be important motivity of consumption; nature here has been changed to naturety, it is a consumable symbol opposes to real nature; art and artworks gradually turns into sign; as the container and carrier of spirit, body has been changed to a separate object, a kind of capital that needs to be managed and operated; the inimitably expansion of image in mass media make human immerse in the aspiration of itself, which makes human fowardly go into the matrix of consumption.Abundant objects and information are accumulated in supermarkets and mass media, which give people an image of rich. At the same time, commodity appears in series to rise people's desire. The difference between kinds of commodity has gradually been erased, replacing the utility as object.

他认为：当代的自由实际上是人与物的相互操控关系，是人的自由幻觉；个性是消费系统中批量生产的产物，是一种自恋性的投射，一种虚幻的自我安慰和满足；审美距离则造成了当代人的孤独，这使得关切和身份认同成为消费的重要动力；自然已经变成自然性，成为对立于真正自然的可消费的文化符号；文艺复兴以来的艺术和艺术品逐渐由模仿转为表现再转为符号。

In order to improve the operation of the plant equipment and the reliability of economy, the paper thermal economic evaluation of the study, in a cycle function on the basis of the theory of the matrix model based on the thermal analysis method the use of mathematical software MATLAB the corresponding generic calculation procedure, and use VB establishment of display interface Calculation of the power plant thermal system hot economy.

为了提高电厂设备的运行经济性以及可靠性，本文以热经济性评价为研究课题，在以循环函数法为理论基础上提出了基于矩阵模式的热力系统分析方法，利用数学软件MATLAB编制了相应的通用性计算程序，利用VB编制了显示界面，计算电厂热力系统的热经济性。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

In this paper, the modeling theory of multi-rigid-body dynamics was thoroughly investigated in order to make up the shortcoming in the above modeling method. The major research achievements are as follows:①Based on the matrix of direction cosine between the body-fixed base and the reference base, and Poisson equation of a rigid body rotating, the coordinate transformation method for the modeling of treelike multi-rigid-body dynamics is derived. The method is very routinization and easy to use the computer to carry on the symbol derivation.

本文针对上述建模方法存在的不足，深入地研究了多刚体系统动力学的建模方法，并将所研究的新方法应用于惯性振动设备的建模，取得的主要研究成果如下：①基于刚体连体基关于参考基的方向余弦矩阵和刚体转动的Poisson方程，导出了建立树形多刚体系统动力学方程的坐标变换法，其过程极其程式化，便于利用计算机进行符号推导。

The results showed that the internal structure of the composite was changed obviously and the dispersion of OMMT in the matrix was improved significantly. The mechanical properties of the composite samples were improved. The impact strength, which being parallel to the shear direction, of the PP/OMMT particles was increased by 740% than that of pure PP particles.

结果表明：在振动场的强烈作用下，复合材料的内部聚集态结构明显变化，蒙脱土在基体中的分散性得到有效改善，复合材料的力学性能得到提高，制件沿剪切流动方向的冲击强度比纯PP制件提高了740%。

Secondly, three kinds of mathematics model of optical vortex beams were introduced here. Then the propagation dynamics of optical vortex beams through the non-axis symmetry system is studied, this chapter includes the introduction of the symmetry vortex beam and the non- symmetry vortex beam, the deduction of the Collins diffract integral formula for the non-axis symmetry system, and the transformation of the vortex beam passing through the non-axis symmetry system has been described by using the numerical simulation. Then the general calculation for the orbit momentum of vortex beams, the matrix form for the orbit momentum of vortex beams, and the photon method to describe the orbit momentum of vortex beams are also introduced here. Finally, the interference about optical vortex beams was studied.

本文对涡旋光束进行了较为全面的介绍和研究，主要内容包括：（1）光学涡旋光束的基本理论，主要是介绍了单个光学涡旋光束在柱坐标中的一些表征，涡旋光束的奇异相位和光学涡旋的相位结构；（2）光学涡旋光束的三种数学模型；（3）光学涡旋光束在非轴对称光学系统中的传播动力学，其中介绍了对称涡旋光束与非对称涡旋光束，推导了非轴对称光学系统的 Collins 衍射积分公式，并利用计算机模拟图描述了对称涡旋光束经过非轴对称光学系统后涡旋形态的改变；（4）涡旋光束轨道角动量的一般计算，涡旋光束轨道角动量的矩阵形式，光子法描述涡旋的轨道角动量；（5）涡旋光束的干涉。

By combination of the finite differential technique with the upper bound elemental technique, simulation for the technology of extrusion directly following liquid infiltration which involves infiltration, solidification, and large plastic deformation in one process has been realized and the essences of various technical processes have been revealed by their corresponding simulation results showing the variation of the infiltrated depth and the temperature field with time during infiltration, the punch position, the solidification development of the matrix alloy, the state of the composite within the deforming zone, and the forming load required at different times during extrusion.

采用有限差分法和上限元法相结合，对融浸渗、凝固和大塑性变形为一体的液态浸渗后直接挤压工艺过程进行了数值模拟，从浸渗时浸渗深度与坯料温度场随时间的变化以及挤压过程不同时刻的冲头压下位置、坯料凝固情况、变形区坯料状态、成形载荷大小等方面揭示了不同工艺条件下的各种挤压过程的实质。

In rural areas, both financial accounting personnel managers, but also accounting, or information enumerators often under the leadership of the village and its leaders for the intent of the report, walked to hide, data information to the matrix layers have a great water.

在农村，会计人员既是财务管理者，又是会计核算者，还是信息统计员，往往根据村领导及上级领导的意图进行报告，迎上瞒下，给数据信息的层层汇总带来很大水分。

Pig iron, the matrix consisted of more than 95% pearlite and a little amount of cementite also, whereas the graphite was of larger type-A, and the tensile strength and the hardness were of 202~238MPa and 220~237HB, respectively; when the metallic charge was 23% V-Ti pig iron plus 77% N.I.

研究钒钛生铁和球铁生铁对Cr-Cu-Mo可淬硬铸铁凸轮轴显微组织和性能的影响，讨论了D型石墨的形成机理以及D型石墨灰铸铁凸轮轴具有较高强度和较高硬度的原因。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。