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As a result, the concept of an optimal set of elementary siphons is proposed and also the algorithm which can be finished in polynomial time to find such a set. With the set of optimal elementary siphons, net supervisors can generally produce maximalreachable states.

但是上述理论虽然只需要控制基本信标即可以控制整个系统，但是由于从属信标满足一定的可控性条件才能完全受控，这意味着在控制算法的生成过程中所有的信标都要参与，从而大大增加了系统控制的复杂性。

Different from the case of strict minimal siphons in a net system, the number of elementary ones is bounded by the smaller of place count and transition count. Based on the ideas mentioned above, this thesis proves that the set of elementary siphons is not unique, while different ones may lead to different control results.

本文在此研究的基础上，论证了网系统中的基本信标的不唯一性，控制不同的基本信标可以得到不同的控制效果，进而提出了最优基本信标的概念并给出了相应的计算方法，应用这一计算方法可以在多项式时间内求得一组最优基本信标，也就是说，控制该组基本信标相对于其他的基本信标可以使得系统Petri网模型具有最多的可达状态，这在实际中，意味着系统具有更大的灵活性。

As a foundation, the definition of elementary integral transformation and the method to factorize an integral matrix with elementary integral transformation is proposed firstly. After that, the problem how to find identification vectors in Modular-S-invariants is solved.

文中首先给出初等整数变换的概念，之后借助初等整数变换对整数矩阵进行分解，并在此基础上给出从加模S-不变量中求取不可达见证向量的方法。

This paper discusses such problems which are easily solved incorrectly in limitedteaching as, segment function is uncertain not to be elementary function, elementary function is un-certain to be continuous in its field of definition, unlimited variable is uncertain to be infinity, theinfinitely many infinitesimal is uncertain to be infinitesimal, the multiplication of two non- infinitesi-mal is uncertain not to be infinitesimal.

1分段函数不一定不是初等函数我们知道初等函数的定义是：常数和基本初等函数经过有限次的四则运算或复合，用一个解析式表示的函数叫初等函数。教材中的定义强调的"有限次"和"一个解析式"，使很多同学产生"非有限次"和"非一个解析式"的函数就不是初等函数的误解。例1f=ceox，s xx！0为分段函数，但也可以表示为f=e12(x-x2")+cos12(x+x2#"$)-1，故为初等函数。

From the filter bed a desulfurized gas is withdrawn, whose content of elementary sulfur is not more than 30 percents of the content of elementary sulfur when entering the filter bed.

从过滤床排出脱过硫的气体，它们的元素硫含量不大于进入过滤床时的元素硫含量的30％。

The home says in Ms. Wang Zhen of Han Yang, her son is going up this year first 3, the achievement when original elementary school all the time pretty is good, go up namely game of online sth resembling a net is confused to bring about achievement to glide point-blank after junior high school, so she objects network game taking elementary school teaching material to the utmost,"Child cent is not clear right with the fault, once guide bad easy addiction ".

家在汉阳的汪珍女士说，她儿子今年正上初三，本来小学时成绩一直蛮好的，就是上初中后迷上网络游戏导致成绩直线下滑，所以她极力反对网络游戏进小学教材，"小孩分不清对与错，一旦引导不好就容易上瘾"。

The new class changes under the implementation, this article through carries on the investigation, the research to the Huaian Elementary school intermediate grade student homework situation, understood the nowadays elementary student homework the practical situation, proposed the following suggested:(1) transformation teaching idea, reduces the student to bear.

新课改实施下，本文通过对淮安市小学中年级学生家庭作业情况进行调查、研究，了解现今小学生家庭作业的切实情况，提出以下建议：（1）转变教学观念，减轻学生负担。

Precession and nutation of top and gyrosscope is discussed by elementary method,equations of motion are solved using simplified models, and an elementary analysis is made.

用初等方法讨论了陀螺与陀螺仪的进动及章动，用简化模型求解了运动方程，并给出了它们的初等分析。

By applying elementary transformation,this paper obtains a new method to search for a normal orthogonal basis in Euclid space, it also gives a procedure by which the fewer third elementary transformations are enough to realize this method.

导出用初等变换法求Euclid空间的标准正交基的方法，并进一步获得了只需进行较少次数的第三种类型的初等变换就能实现这一方法的结果。

The purpose is to discuss under the reform of Grade 1-9 Curriculum, the current pre-policy and actual performance of the development on teacher's profession in elementary schools, as well as the analysis and evaluate the current situation of the participance of professional activities from teachers in elementary schools, for further plan the need of future professional development activities.

本研究的主要目的，在於探讨九年一贯课程改革之下，国小教师专业发展的当前措施、实际成效与实施困难，同时分析与评估国小教师参与专业发展活动之现况，进一步规划其未来专业发展活动的需求。

It inculcates justification before God on the ground of human merits.

它说明在上帝灌输在地上人类优点。

TH Leaguer has excellent Quality Control and Management System.

本公司具有完善的品管部门。