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Information entropy being fused in residual correlation analysis of dynamic model, this paper constructs a general diagnostic quantity named "residual entropy", which means the of information left in residual series, and indicates the approximation degree of residual to white noise.

残差熵,它的直观物理意义是残差序列中所残留的信息量,可以定量地反映残差序列逼近白噪声的程度。

Since we adopt Newton interpolation of difference quotient from the discrete data pool of unequal distance node among the scaled temperature (20℃, 1000℃), aluminum purity and aluminum density, it can greatly be approached.

我们从刻画的温度( 2 0℃、1 0 0 0℃)、铝纯度与铝密度间不等距结点的离散数据集中、采用了Newton差商插值、能极好地加以逼近、从而建立了高精度的四阶非线性数学表达式、由此从该模型中给出了 2 0℃时的高纯度铝( 99 999%~ 99.99999%)的密度值,其结果令人满意。

Numerical differentiation is that derivative value of a function at a certain point is approximately solved in discrete method.

中文摘要:数值微分就是用离散方法近似地求出函数在某点的导数值,关于数值微分已有许多求解方法,但这些方法都有各自的局限性,并且关于高阶导数近似逼近的方法研究相对较少。

The artist herself describes how to approach her work:"The more every single recipient intrudes into this picture world - consciously and subconsciously - the clearer it gets that terms like discrepance, ambivalence and ambiguity match the work more than consistent interpretation."

艺术家是这样描述她作品的欣赏方法的:当受众越逼近这个图片世界时,无论是有意识的还是无意识的,他会更清晰地感受到'差异'、'矛盾心理'、'含糊不清'这些词比持续不断的分析解释更适合该作品。

Cybermen advances over the years have been rightly accorded iconic status in the show's history. Their emergence from the sewers in 1968's 'The Invasion' gave us the memorable imagery of the Mondasian monsters stomping down the steps of St Paul's Cathedral, while 1981's 'Earthshock' featured the Cybermen bursting free from their hiding places to march in formation towards The Doctor on the bridge of a space freighter.

这些年来Cybermen的改进,使其有了此剧历史上的标志性地位。1968年的《入侵》中他们在下水道的出现给了我们值得纪念的,Mondasian怪物重重踏下圣保罗大教堂楼梯的形象,而在1981年的《地震》中有Cybermen从藏身之地涌现,列队逼近在一艘太空货船上的博士的景象。

In addition, the ring current is driven earthward (which energizes its particles further), temporarily modifying the field around the Earth and thus shifting the aurora closer to the equator.

此外环电流被逼近地球,进一步加强了其粒子能量,暂时地改变地球附近的磁场,使得极光向赤道靠近。

Also the constructed curve is a shape-preserving curve for the original curve. We can also adjust the shape of curves by parameters of trigonometric uniform polynomial curve to approach the polygon closer. The general trigonometric polynomial curves with m degree and C(superscript 2m-1)(m=1, 2, 3) continuity are further presented.

除了通过切点参数,还可以通过三角均匀多项式曲线参数来调整曲线形状,使所得曲线更加逼近多边形,并可进一步、类似地可构造与给定多边形相切的C(上标 2m-1)(m=1, 2, 3)连续的m次三角多项式曲线。

Secondly, geodesic Gaussian basis functions are defined on the graph. A shortest path obtained by a shortest path faster algorithm is used to approximate a geodesic distance.

其次,在图上定义测地高斯基函数,并用基于最短路径快速算法得到的最短路径来逼近测地线距离。

In sphere approximate, GPS/Gravity-BVP is Neumann problem over exterior spherical domains. Then the natural boundary reduction, suggested by Feng and Yu, is applied to deal with the three dimensional problems. By expansion in spherical harmonics, the natural integral equations of harmonic problems over exterior spherical domains are obtained. Meanwhile, a numerical method for solving geodetic BVP is developed.

在球近似下将GPS-边值问题转化为Neumann外问题,用自然边界元法进行自然边界归化,得到自然边界积分方程,再求自然边界积分方程的数值解,与其他边界元方法相比,自然边界元法的计算量大大减小,并且具有很好的逼近性质,能有效地处理奇异积分,是求解GPS-边值问题有效方法。

The main procedures are as following: to generate small increment of parameters automatically and to calculate the FE several times and obtain the sensitivity of objective function to the parameters, and then form a Hermite polynomial approximation, the calculation of FE solutions are substitute by the calculation of polynomial approximation, so time cost decreases dramatically.

用n维埃尔米特插值技术建立设计变量在可行域上的目标函数的逼近函数;将局部寻优的梯度算法和全局寻优的随机算法结合起来,大幅度地降低寻优过程中电磁场的计算次数。

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