The first is based on the gain of the previous accumulate value, We can get the total gain at the stage of n, and from gained accumulate value of the stochastic variable set, and from the aggregate set of the past value, An enlarged state space is formed if we use the aggregate of the past value in the state space X, in which we use Markov Optimum Strategy.
These techniques that are stated in the paragraphs §2-§7 of this paper include the organization of locations, the assemblage process of the element matrices to the structure matrices, the generation of the unit pivot lows, the reduction of the stiffness matrices of wavefront, the elimination and the management of wavefront variables.
The assemblage A_k formed by the combina-tion of all the minimum k-degree different-markers in the logical infor-mation method can be obtained based on given the sets B_1, B_2, …, B_nformed by the markers which can distinguish the objects of n pairs: number1, number 2, …, number n through the new way of drawing branch-shaped charts.
In particular, we give a detailed description of these sets in terms of cross-sections inside maximal R-tori ofH.
In some of the examples the limit sets are wildly knotted 2-spheres.
LetRo andR1 be two Kempf-Ness sets arising from moment maps induced by strictly plurisubharmonic,K-invariant, proper functions.
We investigate the sets C(S) of such x for various orbits S and their relations with each other.
Using these generating sets, we shall determine the Hilbert series of the above Freudenburg's and Daigle and Freudenburg's nonfinitely generated Ga-invariant rings, and find that these Hilbert series are rational functions.
The soil structure was expressed with fractal dimensions of particle size distribution (PSD), aggregate size distribution (ASD), and soil pore size distribution (SPD).
Results showed that the fractal dimension of particle size distribution (PSD), the micro-aggregate size distribution (ASD) and the soil pore size distribution (SPD) can be used as the indices to evaluate the soil structure.
This paper describes a preliminary study on the synthesis of glycopeptide-based triblock copolymers and their aggregate behavior in water.
These curves were compared with the ones from flat aggregate surface on which mono-size spherical particles were packed.
The shape of the curve of solid volume fraction versus the distance from the surface of the fiber is similar to that around a flat aggregate surface.
These Buchia assemblages first demonstrate that not only the Upper Jurassic strata but also the highest Buchia assemblage-Buchia subokensis, which appeared in Lower Cretaceous strata all over the world are present in Lanongla area.
This first records the highest Buchia assemblage in Lanongla area.
In this paper, the relationships between richness, assemblage, and abundance of bird communities with respect to island features were analyzed in 20 urban woodlots in Hangzhou, China.
Also, bird communities among urban woodlots showed a nestedness pattern in assemblage.
A morphologically more diverse assemblage of Longfengshaniaceae has been found in the uppermost Ediacaran (Sinian) Jiucheng Member, Yuhucun Formation at Jinning and Jiangchuan, eastern Yunnan, South China.