本文在广义函数的有限阶收敛下，证明等同是一对一的。
This paper proves that the equated concept is One-to-One in the finite order convergence of distributions.
重力场计算中，经常需要计算以有限阶球谐级数表示的重力场元。
There are many gravity quantities expressed by finite spherical harmonic series expansions in the computing for geopotential.
本文找到了有限阶随机矩阵为离散骨架的一个比较初等的等价条件；
An equivalent condition for a finite order stochastic matrix to be a discrete skeleton is found in this paper.
本文引进了有限阶可分介算子的概念，讨论了这类算子的某些性质，特别研究了它的谱性质。
In this paper, we introduce the definition of decomposable operators with finite order. We set down the basic properties of them. Particularly we discuss their spectral properties.
第一章有限差分方法主要内容是一阶和二阶的两点式、三点式和五点式差分方案。
The main contents of first chapter are several difference schemes of first-order and second-order differential equations.
有限元模型的动力缩聚法已被广泛地应用到大阶系统的特征分析、试验-分析模型的相关分析等领域中。
Dynamic condensation methods for finite element models have been broadly applied in eigenvalue problems of large structures, test analysis model correlation and so on.
对一类二阶非线性系统的有限时间状态反馈镇定问题进行了讨论。
The finite time feedback stabilization problem of a class of second order nonlinear system is discussed.
结合势函数有限跃变和无限跃变的几种实例，讨论波函数一阶导数在势函数跃变处的连续性问题，从而进一步明确连续性条件。
Continuity on first derivative of wave function is discussed by means of several instances of finite and infinite transitions of potential function and hereby continuity conditions is pinpointed.
本文证明任意阶次磁多极子场力线方程总可以用有限形式解析地表示，并对偶极族和四极族磁多极子场力线的位形给予注记。
In this paper it is pointed out that the equation of field lines of a magnetic multipole with any order and degree can always be analytically expressed in term of finite form.
用有限元传递矩阵法分析火炮身管固有振动特性，矩阵阶次低，计算所得的固有频率与实际固有频率接近，误差在允许的范围内。
Matrix step is low by using the finite element transfer matrix method. Natural frequency by calculation approaches to actual natural frequency and the error is allowable.
当解释的论域是一个固定大小的有限集合时，一阶逻辑公式的可满足性问题可以等价地归约为SAT 问题。
When the domain of interpretation is finite and its size is a fixed positive integer, the satisfiability problem in the first-order logic can be reduced to SAT.
用常规有限元和二次动态有限元解算了一个悬臂三角形弯曲板的前六阶固有频率。
The First six natural frequencies of a cantilevered triangular bending plate are calculated both by the conventional finite element and by the second order finite dynamic element.
本文对已有的“协因子”算法进行了改进，并构造了二阶有限元双正交多尺度函数。
So, this method is modified in the article, and the finite element biorthogonal multiwavelets are constructed.
从OFDM系统子载波正交性要求出发，讨论了数字成形滤波器阶数有限效应。
In view of orthogonality between subcarriers of OFDM system, effect of the finite order of digit shaping filter is discussed in this paper.
与一阶摄动随机有限元相比，二阶摄动随机有限元具有较高的计算精度。
Compared with first-order perturbation, second-order perturbation stochastic finite element has the advantage of higher accuracy.
采用时间和空间均为二阶精确的有限差分方法，将偏微分方程进行差分化。这样，空间的电磁场可由时间域有限差分法（FDTD）来求解。
The TM set of equations can be solved using a finite difference time domain (FDTD) approximation that is second-order accurate in both space and time.
本文导出了二阶导数的多分辨表示公式，并与有限差分表示进行了比较分析。
In the paper, we proposed the formula of the multiresolution representation for the second derivation, and compared their difference.
根据一阶最优化计算理论，构建了采用液压同步提升技术进行转体施工拱桥的优化有限元模型。
Based on first-order optimization calculating theory, authors established the optimal finite element model of swivel construction of arch bridge adopting hydraulic sync elevation technology.
针对零阶保持器引起的幅度误差和相位误差，以及D/A转换器有限字长引起的误差进行了较为详细的分析，并进行了D/A误差仿真试验。
This paper mainly describes the amplitude and phase errors caused by zero-order holder and the error caused by finite word length of D/A, and computer simulation test of D/A error is also introuced.
介绍了一种用于分析轴对称谐振腔的混合阶矢量有限元法。
A kind of mixed-order vector finite element method for axial-symmetric cavities is introduced.
三维格子法所需的计算机内存及计算耗时与同阶精度的规则网格有限差分法相当。
The computational cost and memory requirements for the scheme are nearly the same as those used by the same order finite difference method.
利用有限元分析软件ANSYS计算数控镗铣钻床主轴的静态变形与一阶固有频率。
Utilizing ANSYS, the static deformation and natural frequency for the spindle of the nc boring-milling machine are analyzed.
研究位移障碍下的一个四阶变分不等式的非常规双参数有限元逼近。
Unconventional double set parameter finite element approximation for a fourth order variational inequality with displacement obstacle is considered.
对大型复杂结构振动有限元模型进行减缩降阶，是使结构有限元模型可有效地用在结构动力分析和振动计算方面的一个重要措施。
Reducing the order of a large structural finite element model is important in improving the efficiency of finite element analysis in the field of structural dynamics and vibration.
基于有限元方法，对Y7125型磨齿机的砂轮主轴进行模态分析，得出了四阶主振动频率，并对数据进行了处理。
This paper analyzes the modal of Y7125 gear grinder spindle, gets out the main four stages of spindle vibration frequency and deals with the data.
本文研究位移障碍下二阶变分不等式问题在各向异性网格上的非协调有限元逼近。
Studied in this paper is the nonconforming finite element approximation to the second order variational obstacle problem with displacement obstacle on the anisotropic meshess.
第二章中，给出了一类二阶拟线性方程广义有限元解的渐近展式和超收敛结果。
In chapter two, the asymptotic expansion and superconvergence result of a class of second order quasilinear equation in generalized finite element space is presented.
由二阶理论建立了梁杆结构分析的精确几何非线性有限元增量平衡方程，并利用精确有限元方法对一些典型结构进行了稳定性分析。
Accurate geometry! Non linear finite element increment equilibrium equation is set up by two orders theory. Typical structure stability is analyzed with this accurate finite element method.
本文用有限元方法对曲轴工件系统进行了模态分析，求出了前六阶模态参数。
A modal analysis using the finite element method is carried out for a crankshaft workpiece system. Six lowest order modal 'parameters have been obtained.
本文用有限元方法对曲轴工件系统进行了模态分析，求出了前六阶模态参数。
A modal analysis using the finite element method is carried out for a crankshaft workpiece system. Six lowest order modal 'parameters have been obtained.
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