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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。

In chapter 3, we discuss several problems on piecewise algebraic varieties.

第三章我们讨论了分片代数簇的某些问题。

on the research of primary cable routing, an automated primary routing algorithm based on Dijkstra algorithm is put forward, which can generate automatically the primary radiate distribution planning graph of the area to be planned.b In the research of secondary cable routing, a heuristic search algorithm—production system reasoning of artificial intelligence is put forward in this paper to solve the problem of load allocation in outlet cables of main supply sources.

在初级布线的研究中,本文提出基于最短路Dijkstra算法的自动初级布线算法,该算法能对一个待规划的城区分片自动形成初步的城区辐射配电网规划图。

At present, our company has two 30-ton crane line, able to store 8000 cubic meters blocks, five General processing plant, with an area of 12200m2, the use of production equipment have: disc saw 10 Units (4 Units one of a Computer Numerical Control piecewise), Italy sand saws (4 Units), cylinder sawing (2 Units), Italy continuous mill (2 Units), Italy fully automatic plate production line (1 sets), double-headed grinding (5 Units), fire machine ( 2 sets), infra-red four-post Hydraulic Cutting Machine (7 Units), CNC Wire Saw (2 Units), computer profiling cutting machine (5 Units), gantry profiling machine (3 Units), lap, Horizontal cylinder machine (6 Units), hand-cut machine (5 Units), Walk Mill (3 Units), special-shaped lines of milling machine (3 Units), plant 3-ton forklift (4 Units), an annual output of various granite marble and 380,000 square meters of imports of plate, sheet 100,000 square meters, producing cylindrical, cut axinite, machine planed stone, mushroom stone, step stone, paving stone plaza, special-shaped stone 100,000 square meters.

目前,本公司已拥有30吨行吊两部,能储存荒料8000立方米,综合加工车间五个,面积为12200m2,采用加工生产的设备有:圆盘锯10台(其中4台电脑数控分片)、意大利沙锯(4台)、筒锯(2台)、意大利连续磨机(2台)、意大利全自动薄板生产线(1台套)、双头磨(5台)、火烧机(2台套)、四柱液压红外线切机(7台)、数控绳锯(2台)、电脑仿形切机(5台)、龙门式仿形机(3台)、立、卧式圆柱机(6台)、手摇切机(5台)、手扶磨(3台)、异型线条磨边机(3台)、厂用3吨叉车(4台),年产各种花岗岩大理石及进口板材38万平方米、薄板10万平方米,生产圆柱、剁斧石、机刨石、蘑菇石、台阶石、铺地广场石、异型石材10万平方米。

Under some reasonable assumptions of the'Distribution Matrix', the Riemann Problem with piecewise constant initial data is proved to have a unique Riemann Solver; furthermore, using'Wave Front Tracking Method'and properties of the'Generalized Characteristics', we prove the existence of weak entropy solution to the Riemann Problem with arbitrary initial data of bounded Total Variation.

在"分布矩阵"满足合理的假设前提下,证明了具有分片常值初始条件的黎曼问题的黎曼解算子的存在唯一性;并进一步运用"波前追踪法"和"广义特征"等得到了具有任意有界全变差初值条件的广义黎曼问题的弱熵解的存在性。

V-system is a complete orthogonal system on L_2[0,1], which was constructed in 2005 by the author of this paper. V-system of degree k is composed of piecewise k-order polynomials, has multiresolution property, and is a generalization of Harr wavelet.

V系统是作者2005年构造的一类L_2[0,1]空间上的正交完备函数系。k次V系统由k次分片多项式组成,具有多分辨特性,是Haar小波函数的推广。

The V-system is a new class of complete orthogonal functions system in L2[0,1], which is composed of piecewise kth-order polynomials. There are continuous functions as well as discontinuous functions in V-system.

V-系统是一类由分片多项式构成的正交函数系,函数系中既有连续函数又有间断函数。

Conley index; prime isolated invariant set; bifurcation point; discontinuity dynamical systems; finite piecewise continuous map; coding; rigorous computer assisted proof; chaos; Ikeda map

基础科学,数学,动力系统理论Conley指标;素孤立不变集;分支点;间断动力系统;有限分片连续映射;编码;计算机严格辅助证明;混沌; Ikeda映射

To produce appropriate data format of ANFIS, the configuration of trusses is described as germ cluster, which can be compressed as decimal fraction by binary technology.

为使系统计算更加精确,还应用了基因分片的方法,将一个长基因串分成若干段相对较短的基因片段。

Furthermore, we propose a hybrid redundancy scheme of replication and erasure coding.

此外,我们提出了一种混合式的数据冗余策略,它兼具传统的复制策略和分片冗余策略的优点。

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