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Theorem(Stokes's Theorem) Let be a piecewise smooth oriented curve in three-space, be a piecewise smooth oriented surface with boundary curve .The surface and the curve are related by a right-hand relationship, i.e., if the fingers of the right hand are cupped in the direction of ,then the thumbpoints in the direction of orientation of .,, have continuous first partial derivatives on and ,then

定理 设为分段光滑的空间有向闭曲线,是以为边界的分片光滑的有向曲面,的正向与的侧符合右手规则(即如果右手大拇指表示曲面的方向,则弯曲四指表示曲线的方向),函数,,在曲面上具有一阶连续偏导数,则有下述公式成立

And Reyes backed up his manager's attack on the champions by insisting Chelsea's policy of splashing their cash on over-priced players does not guarantee titles.

而雷耶斯也对自己的恩师表示了支持,他表示,切尔西在在转会市场上的挥金如土,并不能保证他们能够获得冠军。

Support and related doubles and redoubles : After a major-suit one-level response and a sandwich double or overcall below two of responder's suit, opener's redouble or double (even of a natural or artificial one notrump) shows a three-card fit for responder's suit. After a one-diamond response, opener's double of a sandwich one-spade overcall shows four hearts.

支持性及相关加倍及再加倍:一阶高花应叫且敌方在夹挤位置加倍或插叫新花但未超过二阶应叫者花色之后,开叫者的再加倍或加倍(甚至是自然或人为的1NT)皆为表示对应叫者花色有3张支持。1 应叫之后,敌方在夹挤位置插叫1 后开叫者的加倍表示有4张。

The main contributions include:(1) Energy conservation law of Haar wavelets transform is proved to compress data streams.(2) The relation between the coincidence measure and trend of streams is revealed as along with the invariability under parallel shift and the equivalence law over coincidence measure to approximately express data-streams by the wavelet coefficient of the characteristic stream and its energy.(3) Multi-Scales energy decomposition model is proposed to improve the compression precision.(4) The multi-scales compression algorithm and the energy conservation reconstruction algorithm are designed.(5) Extended experiments show that the compression ratio of the new methods is 2~4 times as the traditional method.

主要研究成果包括:(1)证明了Haar小波变换服从能量守恒规律,并用于压缩数据流;(2)揭示了数据流的偶合度与变化趋势的相关性、偶合度的平移不变性及等价规律,采用特征流序列的小波系数和流能量近似表示流的趋势,达到压缩的目的;(3)提出了多尺度能量分解模型,提高了表示精度;(4)设计了多尺度能量分解压缩算法以及多尺度重构算法;(5)在真实数据集上的实验表明,新方法的压缩比是传统小波方法的2~4倍。

In contrast with the Lax representation for soliton equation, there are singu-larities related to spectral parameter in the Lax representation for soliton equationwith self-consistent sources.

与孤立子方程的Lax表示相比,带附加项的孤立子方程的Lax表示中含有谱参数的极点。

Based on the above work, a method is presented for translating LFC function definitions into the intermediate representation, which includes analyses of recursive parameters and definition forms of functions, parameter substitution, representation translation of patterns and expressions, transformation of function definitions from incomplete construction forms to complete construction forms, and pattern-matching translation.

在此基础上,设计了LFC函数定义到中间表示形式的翻译和变换方法,包括对函数递归参数和定义形式的分析,参数一致化,模式和表达式表示形式的翻译,部分构造式到完全构造式的变换,和模式匹配翻译等。

Feature parameters are achieved by comparing the coefficient of standard representation and general representation. As for cone, parameter of general representation has no explicit geometric meaning and can not reflect design intent.

基于二次曲面的统一表示方程,采用最小二乘法进行参数拟合,通过对比其标准形式和二次曲面的统一表示方程,确定圆柱曲面特征带有明显几何意义的参数圆柱轴线法矢量、圆柱的中心和半径。

The resulting surface has a degree 4 parametric polynomial representation and is represented as a network of tangent plane continuous triangular Bézier patches.

生成的曲面有一个4次参数多项式表示并且被表示成一个切平面连续的三角形Bézier片网。

Simultaneously, we study the existence problem of a special Weingarten rotation surface s in H_1~3(-1) and give all spacelike and timelike Weingarten rotation surface sin H_1~3(-1) using the parametric representation of rotation surfaces.

同时研究了H_1~3(-1)中一类特殊的Weingarten 旋转曲面的存在性问题,并利用曲面的参数表示,给出了H_1~3(-1)中所有的类空和类时Weingarten 旋转曲面的表示

Simultaneously, we study the existence problem of a special Weingarten rotation surfaces in H_1~3(-1) and give all spacelike and timelike Weingarten rotation surfacesin H_1~3(-1) using the parametric representation of rotation surfaces.

同时研究了H_1~3(-1)中一类特殊的Weingarten旋转曲面的存在性问题,并利用曲面的参数表示,给出了H_1~3(-1)中所有的类空和类时Weingarten旋转曲面的表示

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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%。

However, to get a true quote, you will need to provide detailed personal and financial information.

然而,要让一个真正的引用,你需要提供详细的个人和财务信息。