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In this paper, we summarize the foundations of Algebraic function fields, algebraic curves over finite fields and algebraic geometry codes, then we focus on the dimensions of codes on the quotient of the hermitian curves, by using the theory of weierstrass semigroup and the idea of Ho...

我们在系统地总结了代数函数域,有限域上的代数曲线和代数几何码的基本知识的基础上,利用Weierstrass子半群理论,使用Homma和Kim的方法,讨论了Hermite曲线商域上码的维数问题,得到的主要结果如下: 1。

In order to better understand splinespace and to apply it, the first problem is to explicit its algebraic structure and itsdimension.

要了解样条空间并将其应用,最首要的问题是了解它的代数结构及维数

Applying the techniques of real radical ideal, P-radical ideal , decomposition of semi-algebraic set in ( [72] ), affine Hilbert polynomial and B-net form of polynomials on simplex, this paper obtains two theorems of real C〓 piecewise algebraic variety dimensions and the real Nullstellensatz in C〓 spline ring.

4:应用多项式在单纯形上的B-网形式以及文献([72])中的实根理想,锥根理想,半代数簇分解定理,本文得出了实C〓分片代数簇的二个维数定理和C〓样条空间的实零点定理。

Along with the increasing dimension of the ambient space and the number of hyperplanes, the arrangements will become more and more complicated.

随着空间维数的增大,超平面个数的增加,超平面构形的结构会变得非常复杂。

Aiming at the chaos complexity activities which may occur during the evolution process of mining area ecosystem, we emphatically analyze the application of associated dimention judgment method and Lyapunov factor analytic approach based on phase space restructuring technique. We can ascertain whether mining area ecosystem have chaos characteristic or not according to these methods. It has important theory value for complexity research of mining area ecosystem.

其次,针对矿区生态系统演变过程中可能出现的混沌复杂行为,基于相空间重构技术我们重点分析了关联维数判断法和Lyapunov指数分析法的应用,依据这些方法,我们可以定量的判断矿区生态系统是否具有混沌特性,这对于我们进行矿区生态系统的复杂性研究具有重要的理论价值。

With the help of catastrophe criterion, the anomalism criterions of the crossfeed between dam body and foundation are acquired from the real contact area or fractal dimension curve vs.

并基于突变性判据,利用互馈面实际接触面积或分形维数曲线随名义应变变化的特征,得到了坝体与坝基互馈的转异判据。

It is found that with time elapsing and economical development, changes in the indexes become complicated and anomalistic.

运用分形理论计算得到了各种景观的分维数,以此为依据探讨了各种景观形态的复杂性。

Taking landscape pattern fractal model and Landsat TM/ETM images in 1995 and 2000 as the basic data,the spatialtemporal database of land use in Chongqing City was established; and using fractal model of landscape pattern,fractal dimension and stability index of landscape pattern,landscape diversity index,landscape apartness index,landscape fragmentation index,landscape evenness index and landscape dominance index were obtained.

采用1995和2000年Landsat TM/ETM影像为基础数据,提取并建立土地利用空间数据库,应用景观空间格局分形模型,获取景观类型的分形维数和稳定性指数以及景观多样性指数、分离度指数、破碎度指数、均匀度指数和优势度等指标。

The method can not only overcome high probability of misrecognition due to numerous Tibetan characters, but also solve the low arithmetic speed owing to plenty feature vector dimensions.

该方法在一定程度上克服了藏文字丁极多而造成的误识率高的缺点,并且解决了由于特征向量维数较多造成的运算速度慢的问题。

It is done by a normal 2 dimensional array.

它是由正常的2维数组。

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