查询词典 finite continued fraction

The coordinate transformation and numerical integration was executed on the discretized tetrahedral elements based on which the 3-D MT vector-finite element method was implemented. A whole computation framework for 3-D vector-finite element method with unstructured mesh was given. Based on this some typical models were tested which has demonstrated that our algorithm could distinctively avoid problems caused by the fake solution and both the accuracy and efficiency were enhanced which made our algorithm has a bright future for further application.3. According to theory of Sobolev vector space and the discretization of Helmholtz space, the error estimate which was suitable for 3-D MT vector-finite element modeling was deduced by which the procedure of adaptive technique was guaranteed.4. Based on the fully unstructured tetrahedralization and optical strategy, the 3-D magnetotelluric h-adaptive vector-finite element method was presented through combining the error estimate. With this work, the accuracy and creditableness for 3-D MT complicatedly modeling was guaranteed.5. The 3-D magnetotelluric h-adaptive vector-finite element algorithm with unstructured mesh was implemented.

针对非结构化的四面体单元，采用坐标变换和数值积分方法，实现了MT三维矢量有限单元分析，建立起基于非结构化网格的三维MT矢量有限元计算流程，并对典型模型和国际标准电磁模型进行了数值模拟，结果对比和分析表明，基于非结构化网格的三维MT矢量有限元不仅消除了节点型有限元的伪解，而且具有很高的计算精度和速度，有广阔的应用前景。3、根据Sobolev函数的向量空间和Hemlholtz空间的分解，推导出基于残差的三维大地电磁矢量有限元后验误差估计公式，为三维大地电磁自适应矢量有限元数值模拟的实现奠定了基础。4、在完全非结构化四面体单元剖分及优化基础上，结合三维大地电磁矢量有限元后验误差估计公式，提出了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算策略，保证了对复杂大地电磁模型数值计算的精度和可靠性。5、实现了基于非结构化网格的三维大地电磁h-型自适应矢量有限元计算流程，对典型模型和国际标准电磁模型进行了数值模拟。

In this paper, we consider hyperbolic conservation laws, and the following work has been done to the finite volume method on unstructured meshes :In preface , we introduce the backupground of the oringe of the finite volume method, and point out the limitation of the finite difference methods and the finite element methods, and import the finite volume method.

本文主要考虑双曲型守恒律方程，对二维非结构三角形网格有限体积方法作了如下工作：介绍了有限体积方法的产生背景，指出了有限差分方法和有限元方法中的特点，对有限体积方法的产生和发展给出了比较详细的分析。

In this paper, the space-time finite element theory and its application technologies are studied and discussed. Furthermore the space-time finite element method is used to analyze the transient characteristics of electromagnetism equipments. The work is important to develop the numerical method for the transient electromagnetic field. The detailed work is as follow.In the basis theory of finite element method used in the transient engineering problem, the functional theory and the finite element theory are applied to studied the existence condition of a generalized variation principle, which is the basis of the space-time finite element method.

本文在完善时空有限元法的基础理论和应用技术并将该方法应用于解决电磁装置的瞬态过程分析等相关方面进行了深入的研究与探讨，该工作对于发展瞬变电磁场问题的数值计算方法具有重要的意义，为此进行了如下几方面的工作：在工程瞬变问题的有限元方法的基础理论方面，本文应用泛函理论和有限元理论，系统讨论了一般工程瞬变问题的变分定理的存在条件及对应的变分定理。

The decay of effect of a self-equilibrated system of forces in chain model is decided by the convergence of operator continued fraction, so the reasonable part of Saint-Venant's principle is described as the convergence of operator continued fraction.

平衡力系的影响在链式模型上由近及远的衰减受算子连分式的收敛性的控制，所以圣文南原理的合理成分体现为算子连分式的收敛性。

A precise background theory of computational mechanics is formed. Saint-Venant's principle is discussed in chain model by means of this precise theory. The classical continued fraction is developed into operator continued fraction to be the constrictive formulation of the chain model.

用泛函分析的双空间理论为计算力学构造了一个严密的背景理论，以此在链式模型上讨论圣文南原理，同时将传统的连分数扩展为算子连分式作为链式模型的本征关系式。

The result verifies that the discrete model with power series direct discretization method requires 100 memory length to obtain the better approximation, while one with continued fraction direct discretization method requires only 10 order. Thus the continued fraction direct discretization method is preferable to digital realization of fractional order control algorithms in engineering applications.

研究结果表明，幂级数直接离散法得到近似离散模型需要记忆长度为100方可获得较好的近似，而连分式直接离散法近似离散模型为10阶时就可以获得较好的近似，因此连分式直接离散法比较适合于分数阶控制算法的实际工程应用。

Formulae for the structural volume fraction of phases and the quantitative relationship between the phase amount s obtained respectively by calculations in atomic fraction and in mass fraction of elements are derived for multi-phase alloys.

导出了多相合金组成相结构体积分数以及用成分的原子分数与质量分数求得的相含量之间的关系。

"In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator."

简分数的分子和分母都是整数；如果分子或分母本身也是分数，则称为繁分数

"In a simple fraction, both are integer s. A complex fraction has a fraction in the numerator or denominator."

简分数的分子和分母都是整数；如果分子或分母本身也是分数，则称为繁分数

In common glass fiber reinforced polyolefine pipe, when the volume faraction is less than the critical value, the glass fiber can not act as reinforcement, on the contray, it would reduce the whole intensity of the compound material. However, when extruded in combined stress field, the extend intensity of the compound system increases when the volume fraction of glass fibers is less than the critical value. When the glass fiber volume fraction is higher than the critical value, the required glass fiber volume fraction of compound fibers extruded in the combined stress field is less than theory value.

一般玻璃纤维增强管材在常规挤出时当添加的玻璃纤维体积含量小于临界体积分数(当添加的玻纤的复合体系拉伸强度等于基体聚合物材料的拉伸强度时的玻纤体积分数)时，玻纤起不到增强的作用，反而会使复合材料的整体强度降低；但在复合应力场下挤出时，当添加的玻纤含量小于临界体积分数时，复合体系的拉伸强度不但没有降低反而升高了；当添加的玻纤含量大于临界体积分数时，复合体系要达到同样强度，经过复合应力场的玻纤增强管材需要的体积分数小于理论值。

In this new architectural plan the Garden of Golgotha came to be at the centre of the new city.

Aelia 是高举他自己，并在此城内朝拜罗马诸神。

The continuous nature of peat accumulation means that terrestrial coaly rocks may provide a higher resolution and more complete record of base-level change than the time-equivalent shallow-marine strata, thus enabling the identification of highfrequency cycles that are not recorded in themarine strata.

泥炭积累的持续性质的手段，陆地coaly岩石可提供较高的分辨率和更完整的记录基准面变化的影响时，相当于浅海阶层，从而使确定的高频周期，不记录在themarine 阶层。