查询词典 necessary condition

So, a necessary and sufficient condition for the system to be stable is that the roots of the characteristic equation have negative real part.

因此，系统稳定的一个必要充分条件是特性方程的根有负的实部。

So, a necessary and sufficient condition for the system to be stable is that the roots of the characteristic equation have negative real parts.

所以，系统稳定的一个充要条件为：系统的特征根具有负实部。

Regional development occupies large land, develops lots of contents, relates to multifields including industry, construction, business and civicism, so it is necessary to identify its influence on nature environment such as air, groundwater quality, surface water quality and hydrological condition, sound, soil, plants, topographty and social environment such as population, traffic, economic structure. The countermeasures of carring through circular economy, controlling pollution sources, planning industrial structure scientifically, distributing reasonably, implementing cleaner production and total quantity control should be taken to promote regional sustainable development.

区域开发具有较大的不确定性，并且占地面积大、开发的内容广、性质复杂、建设周期长，通常的区域开发都有可能涉及到工业、城建、商业、人居、市政等多个领域的开发活动，所以区域开发必须结合区域开发的特征，准确识别其可能对区域内及其周边的空气环境、地下水质量、地表水水质及水文条件、声环境、土壤、植被、地形地貌等自然环境和人口、交通、经济结构等社会环境等产生的影响，并采取发展循环经济，减少污染生成的源头控制措施；科学规划产业结构，合理布局的预防性措施；源内达标、区域集中控制的污染治理措施；实施清洁生产、总量控制，推进区域环境与经济的持续发展。

We give some examples of BiFrobenius algebras based on the extensions of algebras and coalgebras . Let H be a bialgebra of finite dimension . Then T= H⊕H* has an algebra structure and a coalgebra structure also . We discuss the properties of T , and get the necessary and sufficient condition for T to be a BiFrobenius algebra .

然后根据代数余代数的平凡扩张给出一类BiFrobenius代数的例子，设H是有限维双代数， T= H⊕H*既有代数结构也有余代数结构，研究T的性质，给出了T成为BiFrobenius代数的充要条件，即定理3.9。

Acceptable coining dies are designed based on the detailed technical requests of coining and necessary equipment condition.

依据被精压件的具体技术要求和所需设备工况，设计出合理的精压模。

What's worse, they think that the temperature condition is not necessary for seeds to come into leaf and that plants can also grow well without fertilization.

学生对於植物生长的另有概念包括将根与茎的名词定义错误，认为植物是「先长茎再长根」或「先长果实，后开花」；并对植物器官的功能不熟悉；缺乏植物的「花」、「果实」具有传宗接代等繁殖概念；「温度」条件对种子发芽而言是非必要的；植物有「施肥」就长得更好，没有施肥也不会怎样；知道植物可以用种子繁殖，除了种子以外可以繁殖的器官学生多数只看过落地生根用叶子繁殖，缺乏更多的实际经验。

We establish a relation between μ and the stucture of the group G, and obtain the lower bound of the ratio by the mininal prime divisor of the order and commutator of the group G, and give a necessary and sufficient condition under which this lower bound is attained.

第一部分，记有限群G的阶与不可约特征标个数的比值为μ，我们研究了一般的非交换有限群G的结构和μ之间的关系，通过群G的阶的最小素因子和换位子群G′的最小素因子得到了μ的一个下界，同时给出了达到下界的一个充分必要条件。

According to the comparativeness, ten items of condition are necessary to realize the fiscal institutional transition, which are keeping political and social stability, dealing with the relations between the target and the course of reform properly, combining the foreign experience with actual fact of our own country, emphasizing on the role of public finance in economic transition, making the progress of institution transition in line with cognition, working out a good scheme, coordinating the fiscal system with political system, accelerating the construction of fiscal legal institutional, enhancing the investment for informal institutional, having the support from the top-rank decision-maker, and the not-being-afraid-of-difficulty spirit for the reform leader.

根据比较，要实现财政制度变迁的目标应具备10项条件：保持政局和社会稳定，正确处理改革目标与改革过程的关系，把国外经验同本国实际结合起来，重视发挥财政在经济转轨中的作用，制度变迁的进度要与认识水平相一致，要有一个好的改革方案，财政制度要与政治制度相协调，加快财政法制建设，加大对非正式制度的投资，最高决策者的支持和改革领导者勇往直前的精神。

Under the conditions of compatibility or sub-compatibility between a single-valued mapping and a set-valued mapping,a necessary and sufficient condition for set-valued mapping pair and single-valued mapping which have the common fixed point in complete convex metric space are given.

在单值映象与集值映象相容或次相容的条件下，给出了完备凸度量空间中集值映象对与单值映象存在公共不动点的一个充要条件，改进和推广了某些已知结果。

By defining restricted representation,we get the necessary andsufficient condition for all restricted representations of a restricted Liesuperalgebra to be completely reducible.

最后，通过定义限制表示，得到了一个限制李超代数的所有限制表示是完全可约的充要条件。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。