查询词典 finite difference approximation

In the following two cases:(1)gcd=1;(2) N=p〓, where p denotes the characteristic of the finite field GF, by using the factorization of the polynomial in finite field, the counting function N〓 is showed, the expected value of the linear complexity E〓 is determined, and a useful lower bound on the expected value of the k-error linear complexity E〓 is established.(7) The stability of the lattice structure for pseudorandom number sequences is put forward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N ＝P〓这两种情况下，计数函数N〓，的值，即线性复杂皮为c的N-周期序列的个数，并给出了线性复杂度的数学期望E〓的值以及k-错线性复杂度的数学期望E〓的一个有用的下界，这里p表示有限域GF的特征。

In the following two cases:(1)gcd = 1 ;(2)N = p~v, where p denotes thecharacteristic of the finite field GF, by using the factorization of the polynomialin finite field, the counting function N_(N,0) is showed, the expected value of thelinear complexity E_(N,0) is determined, and a useful lower bound on the expectedvalue of the k-error linear complexity E_ is established.(7) The stability of the lattice structure for pseudorandom number sequences is putforward.

利用多项式的因式分解等简单工具，研究了任意有限域GF上，周期N与p互素以及N = p~v这两种情况下，计数函数NN，0 的值，即线性复杂度为c的N-周期序列的个数，并给出了线性复杂度的数学期望EN，0的值以及k-错线性复杂度的数学期望EN，k的一个有用的下界，这里p表示有限域GF的特征。

Existing literature on the inquiry,collation and analysis,this article had the following major tasks:1st,finite element simulation of the current analytical methods are summarized,and system introduction finite element software ADINA and ANSYS applied in the reinforced concrete built-up section.2nd,system introduction reinforced concrete component material performance as well as reinforced concrete nonlinear analysis main mathematical model. 3rd,the use of ANSYS and ADINA software simply supported beam simulation were compared.4th,uses the ANSYS analysis software,conducted 7 radical center bearing reinforcing steel-side steel pipe concrete short stump simulation test research,the research had indicated the reinforcing steel the existence strengthened the pillar ductility greatly.5th,based on ANSYS,has conducted 2 radical center bearing reinforcing steel-side steel pipe concrete member in bending simulation test research.

通过对现有文献的查询、整理及分析，本文进行了以下主要工作：1、对目前有限元模拟分析方法进行了总结，并系统的介绍了有限元软件ADINA和ANSYS在钢筋混凝土组合结构中应用。2、系统的介绍了钢筋混凝土构件的材料性能以及钢筋混凝土非线性分析的主要数学模型。3、利用ANSYS和ADINA软件对简支梁进行了对比模拟分析。4、利用ANSYS分析软件，进行了7根轴心受压钢骨-方钢管混凝土短柱的模拟试验研究，研究表明钢骨的存在大大加强了柱子的延性。5、利用ANSYS分析软件，进行了2根轴心受压钢骨-方钢管混凝土受弯构件的模拟试验研究。

In Chapter 4 and Chapter 5, we discuss the quadratic finite element space with Regular mesh and the one with Criss-Cross mesh. We can respectively obtain the finite element asymptotic expansions and extrapolations in these situations. The high accuracy combination formulas are constructed.

在本文的第四、五章中，我们将在第二、三章中所使用的方法分别推广到Regular网格与Criss-Cross网格下的二次有限元空间中，得到了这两种情形下的有限元的渐近展式与外推结果，并构造出了相应的高精度组合公式。

The results of this paper show that the classical regularity condition or quasi-uniform assumption on the triangula-tion meshes is not necessary to the finite element analysis and thus the scope of finite element application is extended.

以上结果表明，传统有限元的正则性条件或拟一致假设对有些问题来说是不必要的，从而拓宽了有限元的应用范围。

In this paper,the author give the spectra characterizations of nonsigular feedback polynomials and local permutation polynomial s over finite fields and residue class rings,and simplify existing results over prime fields,and provide a new proof method for the spectra characterization of correlation immune functions over finite fields and residue class rings.

本文给出了有限域和剩余类环上非线性反馈移存器的非奇异反馈多项式及局部置换多项式的谱刻划，简化了素域上的现有结果，并对有限域上和剩余类环上相关免疫函数的谱特征给出了一个新的证明方法。

Based 188F gasoline engine heat load studies, the research unit based on Using AutoCAD software for the design cylinder sleeve, and then use the software PRO-E 3D modeling, and the calculated and experimental analysis to determine the reference cylinder heat transfer across borders, reuse finite element analysis software ANSYS right cylinder mathematical analysis, systematically on the finite element method in 188F cylinder gasoline engine design of the application, in-depth study of the thermal load on the performance and reliability, as relates to structural strength, stiffness, temperature and so on.

本文以188F汽油机热负荷为研究对象，在研究整机的基础上，利用AUTOCAD软件进行汽缸套的设计，然后用PRO-E软件进行三维建模，并通过计算解析和实验参考确定了气缸套各处的传热边界条件，再利用有限元分析软件ANSYS对气缸套进行数学分析，系统地探讨了有限元法在188F汽油机缸套设计中的应用，深入研究了其热负荷对性能和可靠性的影响，内容涉及到结构强度、刚度、温度场等方面。

The result shows that Ritz finite element method is suitable for deep excavation dewatering calculation, and Galerkin finite element method maybe put into practice after well system is simplified.

比较分析结果可知，本文运用的里茨有限元法适用于深基坑降水计算，而运用迦辽金有限元法需对井点进行处理，才能用于实际计算。

In reference of the results of studying the finite element software and based on the derived formulae, a finite element software with new characteristics for the interaction of vehicle running gear and terrain is designed and developed.

在参考有限元软件的研究成果的基础上，根据推导的有关公式，设计、编制和调试了具有新特点的车辆行走机构与地面相互作用问题的有限元软件。

If theharmonic index is finite,then each end may be represented by a non-constant positiveharmonic function,and these functions compose a partition of unity.For minimalhypersurfaces with finite total scalar curvature,we can explicitly estimate the harmonicindex.Moreover,the space of bounded harmonic functions are exactly generated bythose functions associated to each end.This gives geometric interpretations of the ends.

若调和指标有限，则每个端均可由一非常值的调和函数代表，它们形成了一个单位分解，对于全纯量曲率有限的极小超曲面，我们明确地估计了调和指标，进一步，有界调和函数正好由代表端的那些调和函数所生成，这就给出了端的几何解释。

We were cousins—his grandfather was King of Scots,and his great-grandfather was Henry VII of England.

我们是堂姐弟——他的祖父曾是苏格兰国王，他的曾祖父是英格兰的亨利二世。

I do want to help you, but I am in a quandary now!

我是想帮你，但是我现在左右为难啊！