查询词典 first order

Based on Bezier curve continuance of first－order and second－order derivative, the characteristic vector equation of two Bezier curve is presented in point of intersection. The algorithm is not only of high accuracy with all of the interpolated points being on the curve theoretically, but also of very high speed in the real－time interpolation processes. The interpolation velocity does not change and the segment tolerance of interpolation can be control by selecting the parameter in cerement rationally every time.

为保证两段Bezier曲线在连接点处一阶导数、二阶导数连续，导出了两段Bezier曲线特征向量应满足的关系方程，Bezier插补法不仅在理论上可使所有的插补点落在曲线上，而且实时插曲补速度高，每次插补时可合理地选择参数增量，能使插补速度保证不变，也可控制弓高误差。

In this dissertation,Von Numann and Morgenstern Axioms are analyzedagain at first.It is pointed out not only that preference relations are often latticeordered,but also that the transitivity axiom,along with the independence axiomand the continuity axiom is still rational to a high degree,then a new set ofaxioms for lattice-order decision-making behavior is established.At last,relatedsubjects based on lattice in preference theory,utility theory,decision-makingmethods,multiattribute decision-making,and group decision-making are studied.In this way,the lattice-order decision-making theory is framed.Main creativeresults are obtained as follows

本论文重新审视了Von Neumann-Morgenstern理性行为公理体系，对以前学者较少涉及到的连通性公理提出了质疑，指出偏好关系具有格特征，而传递性公理、独立性公理以及连续性公理在很大程度上仍具有合理性，进而创建了格序决策行为公理体系，研究了基于格的偏好理论、效用理论、决策方法、多目标决策以及群决策中的相关问题，初步构建了格序决策理论框架，主要研究成果如下

Furthermore, the first-order optimality condition and its equivalent reformulations for generalized semi-infinite max-min programming with a non-compact set are presented using the lower-Hadamard directional derivative and subdifferential.2. Chapter 3 studies the gradient-type methods for unconstrained optimization problems. Section 1 proposes a new class of three-term memory gradient methods. The global convergence property of the method is established. Furthermore, in order to improve the convergence property of the method, a new class of memory gradient projection methods is presented with the property that the whole sequence of iterates converges to a solution to the problem under the conditions such as pseudo-convexity and continuous differentiability of objective function. In section 2, two new classes of methods, called gradient-type method with perturbations and hybrid projection method with perturbations, are proposed. In these methods, non-monotone line search technique is employed, which makes them easily executed in computer.

第3章研究了无约束优化问题的梯度型算法，第1节提出了一类新的三项记忆梯度算法，讨论了算法的全局收敛性，进一步提出了一类新的具有更好收敛性质的记忆梯度投影算法，并证明了该算法在函数伪凸的情况下具有整体收敛性，第2节在非单调步长搜索下提出了带扰动项的梯度型算法及其混合投影算法，这两类算法的一个重要特征就是步长采用线搜索确定而不象许多文献中那样要求步长趋于零，这样更容易在计算机上实现，在较弱的条件下证明了这些算法的全局收敛性，数值算例表明了算法的有效性。

Firstly, we prove that if we select nodes properly, and let the distance between these nodes sufficiently small, cubic polynomial spline can approximate a continuously differentiable function, which with continuous derivatives of second order and discontinuity of the first kind in the derivatives of fourth order, to any desirable accuracy. This result lays a theoretical foundation for representing trajectories by splines and double orthogonal basis.

一是证明了适当选取节点并使节点距充分小时，三次多项式样条可以逼近具有二次连续导数的分段四次连续可微函数到足够的精度，这一结论为用样条和双正交基表示弹道打下了理论基础。

Spatial white noise is considered first then the spatial colored noise. Two method based on 1st and 2nd order cyclic moments, CERA, and then 3rd order cyclic moment, MCERA, are proposed separately.

分白噪声及有色噪声两种情况，分别提出了基于一、二阶循环矩的CERA方法和基于三阶循环矩的MCERA方法。

Many. I first analyze what is simulacra of the third order, and then indicates the laxity of the third order through a discussion of the relationship among simulacra, idea and mimesis. Based on a reinterpretation of the metaphor of cave, I demonstrate the generation and nature of simulacra, their relationship with humans and cognitive functions, thus defining a basic theoretical field for the discussion of simulacra.

论文首先分析什么是第三秩序的仿像，在此基础上通过仿像与理念、模仿之间关系的论述表明第三秩序的松动性，进而重新解读洞穴隐喻，展现仿像的制作、仿像的性质、仿像与人的关系、仿像的认识功能等，划定了仿像探讨的基本论域。

Yet for thickness shear actuators, due to the shear deformation dominates the plate deflection for shear actuation mechanism, the higher order shear theory can provide more accurate evaluation of the shear strain energy of the plate than the first-order o

但对于厚度剪切型激励器而言，由于激励器主要是引起板的剪切变形，而高阶剪切变形理论比一阶剪切变形理论能更好地反映结构的剪切应变能，因此高阶剪切变形理论可以提供板变形的更为精确的解。

The governing equations of laminate-faced sandwich cylindrical shallow shells based on the first-order shear theory with large deflection are high-order partial differential equations. Four dependent functions are involved.

大挠度剪切理论下复合材料夹层圆柱扁壳的稳定性控制方程是一组非线性高阶常系数偏微分方程，其中包含四个独立的函数，它们分别为横向挠度w、参考曲面的法线转角Φx、Φy和应力函数F。

The type of magnetic phase transition in Dy(subscript 1-xGd Co2 compounds is found shifting from first order to second order as Dy is substituted by Gd, which is supposed to be the main reason for the detraction of MEC.

磁熵变下降的主要原因是Gd替代Dy后化合物的磁相变由一级相变转变为二级相变。

First of all the construction created a strategic base to earn," out CPC"s revolutionary war, stood the CPC "s protracted fight against Japanese aggression, dius laid a strong foundation for the CPC"s \ictories in the war against Japanese invasion and Guomindang"s reactionary rule. Secondly, die construction, once and for all, began to break die old order dial hindered this country"s development and created a new order that suited Chinas modernization.

首先，这种建设为中国共产党创造了一个进行民族革命战争的战略基地，为中共坚持持久抗战提供了依托之所，为抗日战争和随后解放战争的胜利打下了坚实基础；其次，这种建设开始从根本上打破阻碍中国社会发展的旧秩序，又逐渐营造了一个适应中国走向现代化的新秩序；再次，这种建设在实践中积累了丰富的历史经验和教训，给我们当代的村民民主自治提供了宝贵的借鉴。

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。