查询词典 homogeneous markov process

In past logging modeling, conductivity is generally assumed homogeneous in each rectangle element or invariable in z direction or piecewise homogeneous in z direction.

以往电测井有限单元法的数值计算中往往假定电导率分块均匀，或者在纵向分段均匀，或者在纵向上不变。

Calculating the functions of the matrix exponential e has special significance in the theory of linear systems and the theory of semi-groups. Especially, in the modern control theory, no matter the equation is homogeneous or non-homogeneous, the result depends on the calculation of the matrix exponential e.

矩阵指数函数e的计算在线性系统理论及半群理论中有着特殊的作用，在现代控制理论中，无论是齐次方程还是非齐次方程的求解，主要取决于矩阵指数函数e的计算和近似。

The second-order linear homogeneous differential equations in differential equation theory occupies an important position, but the second order differential equation has no general solution method, most of the solutions of these equations is difficult to obtain analytical expressions and even some impossible to obtain the solution of the form, and the second order differential equation solving is divided into homogeneous and inhomogeneous problems.

二阶线性齐次微分方程在微分方程理论中占有重要位置，但二阶变系数微分方程却没有一般的求解方法，大多数这类方程很难求得解的分析表达式甚至有的根本不可能求得其解的分析形式，并且二阶变系数微分方程的求解又分为齐次的和非齐次的问题。

Homogeneous function ; the style of homogeneous function ; unhomogeneous boundary condition

齐次化函数；齐次化函数形式；非齐次边界条件

By means of Taylor's formulas and the extended homogeneous capacity method, the nonlinear equation is transferred into a linear homogeneous equation within an integral segment, which can be solved conveniently by the high precision integration method.

首先，借助Taylor级数展开，在一个积分步长内将非线性方程转化为线性非齐次方程，然后利用齐次扩容方法，进一步将其化为线性齐次方程组，便于用精细积分算法求解。

By Llibre's algebraic invariant theory, at first on the basis of classification for quadric and quadric homogeneous binary polynomial, the plane linear and cubic homogeneous polynomial differential systems are classified.

利用Llibre的代数不变式理论，首先由二元二次和二元四次多项式的分类结果，对一次和三次齐次多项式微分系统进行代数分类，同时补充了已有结果中出现的漏洞；其次，由称共变张量空间的性质，对缺二次项的三次微分系统在保证轨线走向不变的前提下进行代数分类，使分类后同类系统的示性多项式有相同零点；最后通过讨论一类简单系统的有界性说明了分类的方便方处。

The concrete work and main contribution are as follows:(1) The index indicating transfer capability homogeneousness is defined, and the new terms like homogeneous grid, grid according with economic flow are put forward. These new concepts describe the degree in which transfer capability is utilized, and they provide the standard for ideal grid whose transfer capability and power generation dispatching economy are in phase. So, new idea is introduced in transfer capability analysis.(2) The multi-objective function with generation cost and transfer capability homogeneousness weighted is constructed. The relationship between system existing generation dispatching and transfer capability is revealed through comparative analysis between security economic dispatch and security homogeneous dispatch, and the variation rule analysis between generation cost and transfer capability homogeneousness with the change of weighting coefficient.(3) Example analyses demonstrate that the difference between specific power system with ideal instance can be identified effectively using the above concepts and method.

具体工作和贡献主要体现在：(1)定义了衡量电网输电能力均匀性分布的指标，提出均匀电网、符合经济流电网的新概念，以描述电网输电能力被利用的程度，并给出输电能力和发电调度经济性相协调的理想电网标准，在输电能力分析评判领域引入了新观点；(2)构造了发电费用与输电均匀性加权的多目标函数，通过对安全经济调度与安全均匀调度的对比分析，以及权系数变化过程中发电费用与输电均匀性的变化规律分析，揭示了系统现存发电调度与输电能力之间的依赖关系；(3)大量分析表明，利用上述概念和方法可有效识别系统在特定模式下与符合经济流电网的偏差程度。

In the different zoning of xenoliths, molybdenum and tungsten contents is lower and homogeneous,and be lower than the world\'s average abundance; tungsten compared to molybdenum,the content more homogeneous in xenoliths, compared to mantle\'s average abundance more less. This explains the geochemistry incompatible character homophyly and diversity of molybdenum and tungsten determined their trend enrichment in crust in the course of the mantle evolution and magmatism, among molybdenum more trend enrichment in lower crust but tungsten in middle-upper crust.

包体不同带中，钼、钨的含量较低且较为均一，并低于世界均匀丰度；钨和钼相比，其在包体中的含量更为均一，相对于地幔均匀丰度更小，说明钨、钼的地球化学不相容性的类似性和差异性决定了它们在地幔演化和岩浆过程中倾向富集于地壳中，其中钼更倾向富集于下地壳，钨则更倾向富集于中上地壳。

Hyperostosis, dense homogeneous enhancement, dural tail, isointense signal in T1 and T2-weighted images are seen in meningiomas [2,3]. Aneurysms commonly show homogeneous enhancement on CT, however the signal intensity in MRI is more heterogeneous.

骨皮质增厚，均匀强化、脑膜尾征、T1和T2等信号都可见于脑膜瘤，动脉瘤在CT上也可以表现为均匀强化，然而在MRI上信号强度是更混杂的。

The fix point of solutions and the derivatives of solutions of comples meromorphic function coefficents higher order of comples homogeneous linear differenliad equations are studied,and get two results of fixed point of homogeneous higher order linear differenliad equations with Meromorphic Function Coefficents,the results obtained generalize the related results of some authors.

研究了复域线性微分方程的解及其解的导数的不动点与超级问题，得到了亚纯函数系数的齐次线性微分方程的解及其解的导数的不动点的一个结果，所得结果推广了一些相关结果。

Objective:To explore the feasibility of laparoscopy in diagnosing and treating of abdominal diseases.

目的：探讨腹腔镜用以诊断腹部外科疾病及选择治疗方案的可行性。

The lifetime of nylon 1010 and nylon 1010/POSS composites decreased with increasing temperature.

热重-红外联用分析表明尼龙1010在氮气气氛下的降解产物主要为小分子的低聚物，POSS并不改变尼龙1010降解产物的组成。