原像

同时当y是f的广义正则值时，获得原像f-1（y）中含x0的连通分支是M中一个具有维数为M（x0）的C1Banach子流形。

Moreover , when y is a generalized regular value of f , the authors obtain that the connected component containing x0 of the preimage f-1 ( y ) is a C1 Banach submanifold of M with dimension M ( x0 ) .

非自治动力系统原像熵的开覆盖定义及性质

Several Properties for Preimage Entropy of Nonautonomous Dynamical Systems

把关系结构P映射为关系结构GA，经过GA过程确定目标映像，最后通过求反演求目标原像。

We consider the application of Relationship Mapping Inversion ( RMI ) principle in Genetic Algorithms ( GA ) . Through letting the relational structure P map onto relational structure GA and determining the objective mapping by GA process , we obtain the objective primary image by inversion .

利用Banach流形上的正侧值原像定理及元限维型唱片引理，证明了具有可定向Fredholm结构的实Banach流形上映射度的同伦不变性，从而推广了存限维流形上的情形。

The homotopic invariant property of mapping degrees on Banach manifolds with orientable Fredholm structures is proved using the inverse image theorem of regular value and the stack of records lemma in infinite-dimensional manifold , thus the finite case is generalized .

带RGB-LED背光系统的32InAs-IPS液晶电视被开发出来了，它可以调节每个主背光源的亮度，并可以对每帧中的原像数据进行转换。

32-inch AS-IPS LCDs TV with RGB-LED backlight system was developed , which modulates each primary backlight 's brightness and converts each primary image data in every frame .

有限图上等度连续的自映射序列，有零原像分枝熵。

A sequence of equicontinuous maps defined on a finite graph , have zero preimage branch entropy .

从重现结果来看，原像波的振幅和相位均得到了较为清晰的重现。

The reconstruction results show that the amplitude and phase of the image wave are well reconstructed .

原像熵的一个推广

An Extension of Preimage Entropy

作为应用，证明了连续映射的拓扑熵和原像熵具有一定程度的扭扩不变性。

As applications , the relation between the entropies for a continuous map and for its suspension is given .

还证明了连续半流与其时刻1映射具有相同的拓扑熵和原像熵。

We also show that most of these entropies for semi-flow are consistent with that for its time-1 mapping .

除了利用原像计算避免误判之外，该算法还将可达状态和不可达状态引入到验证过程中。

It not only used pre-image computation to avoid false negative , but also incorporated reachable states and unreachable states in the verification process .

据此，可以由正多边形物体的正投影像提取原像的尺寸，实现物像关系的标定。

Therefore , the size of the equilateral polygon can be uniquely extracted by its front-projection image and the photogrammetric calibration can be done accordingly .

对紧致度量空间的情形证明了这几类原像熵的开覆盖形式的定义与生成集、分离集形式的定义是等价的.原像熵的一个推广

In particular , when the space is metrizable , these definitions are equivalent to those using spanning or separated sets . An Extension of Preimage Entropy

分别应用开覆盖和分离集、生成集给出了紧致空间上的连续自映射序列的原像熵的定义。

In this paper , the structures of the unstable manifold of a continuous self-mapping on a completely densely ordered linear ordered topological space is discussed .

隐性全球化理论的哲学确证&对《德意志意识形态》中全球化思想的原像探索

The Conclusive Philosophical Proof of the Recessive Theory of Globalization & An Exploration of the " Original Model " of the Idea of Globalization in the German Ideology

半无限边界处的应力自由条件通过镜像法来满足，采用柱波函数展开法给出了原像和各镜像波场的解析表达式。

Semi-infinite border through the mirror image method to meet the stress free condition , using the cylindrical wave function expansion method shows the original image and the mirror image of the wave field analytical expression .

文中对所求解的算子方程的算子要求进行了改进，利用空间中再生核函数的性质，直接构造了原像空间中的一组完全系，进而以级数的形式给出了奇异积分方程的精确解。

In this paper , improving the requirements of the operator , we construct a complete system of the reproducing kernel space directly by employing the property of the reproducing kernel function . Then the exact solution of the singular integral equation is given in the form of series .