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1)  smallest closed area
最小闭域
1.
Based on topologic invariability and calculability of tangent angle of Gauss parabolic lines end-point,an algorithm of computing smallest closed area in the free-form surface s Gauss map is designed.
基于拓扑不变性和抛物线端点处可求切线,设计了一个高斯图闭域网中最小闭域计算算法,利用多边形逼近抛物线段的特点,改进多边形包含测试算法来实现闭域包含测试,可将高斯图闭域网分解成最小闭域集———单类型区域。
2)  Minimum Closed Loops
最小闭环
1.
An Algorithm for Picking up Minimum Closed Loops from Parameterized Curve Set;
参数曲线集最小闭环的提取算法
3)  minimal closed set
最小闭集
1.
The minimal closed sets of Markov chains in random environments;
随机环境中马氏链的最小闭集
2.
In this paper,we draw on(X_n,T~nξ) Markov bichains to study the State of Markov chains in random environments,at the same time point out that if F is minimal closed set,the point in F can arrive to positive measure subset of F.
利用双链(Xn,Tn→ξ)的马氏性对随机环境中马氏链的状态进行了研究,并指出当集合F是最小闭集时,则该集合中几乎所有的点都可达F的任意一个非零测度子集。
3.
The necessary and sufficient conditions for invariant measure,the decompsition of invariant measure and the structure of minimal closed sets and the ergodic results for skew product Markov chains are investigated in this paper.
对绕积Markov链的不变测度的存在唯一性条件、不变测度的分解、最小闭集的结构和绕积Markov链的遍历极限用HopfMarkov链的方法作了进一步的研究 ,获得了一些与经典Markov链类似的结果 。
4)  minimum zone
最小区域
1.
Computational Geometric Evaluation Algorithms for Minimum Zone Flatness
最小区域平面度的计算几何评定算法研究
2.
Sphericity Error of minimum zone applies to the criterion of Sphericity Error of minimum condition principle.
"最小区域球"意义上的球度误差,是符合"最小条件原则"的球度误差评定标准。
3.
A algorithm for using the minimum zone to evaluate the space linearity error based on the principle of coordinate transformation is introduced,and the mathematical model and calculation example are given in this paper.
介绍了一种用基于坐标变换原理的最小区域法评定空间直线度误差的算法,并且给出了数学模型和计算实例。
5)  minimum area
最小区域
1.
A fast and accurate arithmetic method by using the judgement standard of minimum area method to evaluate the roundness error is introduced.
介绍了最小区域判别准则评定圆度误差值的快速精确算法,研究了按最小区域判别准则求解圆度误差的过程和步骤,设计了程序流程图,并用C程序对实际零件进行数据处理。
2.
This paper seeks another solution to the algorithm of the linear parallelism error and makes the algorithm of the linear parallelism error converge toward minimum area by moving outer cylinder axis to shorten its diameter constantly.
在空间直线平行度误差计算中另辟途径,通过移动包容小圆柱的中轴线,不断将包容柱的直径下降,从而使空间直线平行度误差的计算向"最小区域"收敛。
6)  minimum neighbourhood
最小领域
1.
In this paper,the concept of minimum neighbourhood of topological space,as well as the con-cept of minimum basis,is introduced,and some concerned properties and conclusions are attained.
本文通过引入拓扑空间的最小邻域这一概念,同时引入最小基的概念,得到最小领域的一些有关性质和结论,并将其用于实际解题之中。
补充资料:代数闭域


代数闭域
algebraically closed field

代数闭域【aigeb面回lyd姗d云eld“别.‘钾坪长。.3洲-幻乃7T此助月e] 域k.其l二的任何非零次多项式在丸中至少有个根.事实上,由此可推出一个代数闭域k上的任何。次多项式在k中恰有n个根,也即多项式环k【习中任不可约多项式都是一次的.域人是代数闭的,当且仅当它没有真的代数扩张(见域的扩张(extens,on of a field))·任何域k都有唯一的(仅差一同构)代数闭的代数.扩张;称之为k的华攀甲粤(al罗bra,e dosure),通常用k表示.包含人的任何代数闭域都包含一个与万同构的子域. 复数域是实数域的代数闭包.这就是代数学基本定理(algebra,fundamental重heorem of).
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