查询词典 basic point

In the first part of this paper, we give some basic concepts of regular Sturm-Liouville problems and some Sturm-Liouville problems with eigenparameter in the boundary conditions and the definition and properties of the Krein space. Using the Krein space, we describe a class of Sturm-Liouville problems with eigenparameter in two boundary conditions and prove that it can generate a self-adjoint operator in Krein space with only point spectrum.

第一部分我们介绍了一些基本概念如正则Sturm-Liouville问题、边界条件含参数的问题、Krein空间等，并利用Krein空间的定义和性质描述了一类参数边界条件的Sturm-Liouville问题，证明它可构造一Krein空间上的自伴算子，并且谱全为点谱。

It is a basic problem to determine whether a point is inside of a polygon in many fields.

判断点在多边形内是诸多领域的一个基本问题。

On one hand, aims at eliminating the wrong ideas on the origin of china crime prevention, wanting to point out that the ideas on crime prevention has long been existing, even the sprout of it can be dated back to as early as yao and shun periods in the primitive society . On the other hand, trying to find out its process of emerging and developing vertically, in order to expound its basic features and broad containing, and then, in a further sense, pointing out that the sprout and development of them has great effect on the late period, in addition to that society eventually. Theres much in their ideas that we can make use of today.

一方面，意在消除长期以来法史学界对中国古代预防犯罪思想起源的误解，指出早在距今约4000多年前原始社会末期的唐尧虞舜时代，就已经有关于预防犯罪的思想萌芽存在；另一方面，力求纵向探索先秦预防犯罪思想的发生、发展与嬗变历程，阐述其基本特色，揭示其丰厚内涵，并进一步指出萌生与发展于先秦时期的预防犯罪思想，不仅对整个先秦社会产生了重大影响，对后世所产生的影响也极其深远，值得我们今天加以分析批判和借鉴。

The projection gradient method will be a possible way to solve the problem that we just get. It has been shown that the projections of the every directions, of which is the boundary point in linear restraint problems, are the possible decent directions, and the projection of negative grads direction is a decent direction. In 1960, Rosen proposed the basic idea of projection gradient methods, and then lots of researchers have been tried to find the convergence of this method. But most of them get the convergence with the condition to amend the convergence itself.

在约束最优化问题的算法中怎样寻找有效的下降方向是构造算法的重要内容，在寻找下降方向方面可行方向法中的投影梯度法有效的解决了下降方向的寻找问题，利用线性约束问题边界点的任意方向在边界上的投影都是可行方向，而负梯度方向的投影就是一个下降方向。60年代初Rosen提出投影梯度法的基本思想，自从Rosen提出该方法以后，对它的收敛性问题不少人进行了研究，但一般都是对算法作出某些修正后才能证明其收敛的，直到最近对Rosen算法本身的收敛性的证明才予以解决。

I find a lot of folks who painstakingly memorize and study the 12 basic principles to the point that they can rattle them off the top of their heads at a moment's notice.

我发现很多人只是机械的学习这12条准则，疯狂的背诵它们而不是去真正理解其中真正的规律。

I find a lot of folks who painstakingly memorize and study the 12 basic principles to the point that they can rattle them off the top of their heads at a moments notice.

我发现很多人只是机械的学习这12条准则，疯狂的背诵它们而不是去真正理解其中真正的规律。

Some basic equations of dual beam scan are derived,such as,the position vector for the incident point,the scalar expression for reflected ray,scan pattern on observation plane ect.

文摘：应用几何光学理论研究了多光束转镜扫描场的非对称性，导出多光束扫描入射点位置矢量、反射线标量表达式、观察面上的扫描轨迹方程，并研究了扫描远场的非对称性。

Besides, we achieve a balance between them, which could be comprehended that the balance of basic competencies required for the protection and capacity development equality of conditions and rules are the equilibrium point of regular fairness and distributive fairness.

本文结合罗尔斯的正义两原则与阿马蒂亚·森的能力平等理论解决了分配公平与规则公平的矛盾，实现了分配公平与规则公平的平衡，即基本能力的保障和能力发展所需条件的平等是分配公平和规则公平的平衡点。

One of the innovations is that resurvey the problem of positive economics and normative economics in a whole frame of history, and combine some basic conceptions in philosophy of science, economics and ethics, via powerful reasoning and case study, discuss some radical measures to correspond contradiction, moreover, point out detailed harmony strategies.

创新之一就在于在一个历史的大框架之下，重新审视实证经济学与规范经济学的问题，并结合科学哲学、经济学与伦理学中的基本概念，通过有力的推理论证和实例分析，探讨协调矛盾的基本途径，进一步指出具体的协调策略。

The traditional definition of realism, rationalism and revolutionism provides the starting point and the framework for the basic philosophical paradigm of international security.

本文认为对现实主义、理性主义、革命主义三大国际关系思想传统的界定，提供了构设国际安全基本哲理范式的出发点或框架。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。