查询词典 necessary condition

Hence, a necessary and sufficient condition for the positivity of polynomials of arbitrary degree is presented in this paper. A practical algorithm to express this condition in terms of the coefficients of the polynomials is also given.

由此提出了任意阶多项式为正的一个充要条件，也提出了一个实用的算法，从而可以只用此多项式的系数来表示得到的充要条件。

We see the same thing, watching moment by moment the movement of historical personages (that is, restoring the inevitable condition under which all action takes place—the condition of the continuity of motion in time), and not losing sight of the necessary connection of historical figures with the masses.

假如我们每时每刻注视历史人物的运动（就是恢复所发生一切的必要条件——运动在时间上的连续性），不疏忽历史人物和群众的必要联系，我们就会看见同样的情况。

Another Two Forms of Necessary and Sufficient Condition of Differentiable Complex Function;2. The paper introduces a kind of differentiable fractal interpolation function,discusses its generating mechanismas well as the sufficient condition that generates its IFS.

文章介绍一类可微的分形插值函数，探讨了它的产生机理以及生成它的迭代函数系所满足的充要条件，在此基础上给出样条分形插值函数的定义，并讨论它所具有的部分收敛性质。

We attain a sufficientcondition realizing ideal disentanglement by manipulating only one part of the states.Under the condition that one only knows partial information on the set of states weput forward the necessary and sufficient condition for ideal disentangling operations.

我们获得了，为了达到理想的消纠缠，量子态集合所应满足的充分条件；在仅知态集合中量子态的部分信息的限制下，我们得到了理想消纠缠的充分必要条件。

On ideal boundary condition, a necessary and sufficient condition for conformal equivalence of an open Riemman surface and its smooth covering surface are given in this paper.

给出了理想边界条件下开Riemman曲面与其光滑覆盖曲面为共形同胚映照的充要条件，并将其推广应用

From the matrix theory and the general principle of the iterative convergence of the linear coupled equations, this dissertation firstly proved the sufficient necessary convergent conditions for CMAC batch learning as well as the necessary convergent conditions for CMAC incremental learning, in which no additive conditions were needed. The past researchers'conclusions under the special condition of the positive articulation matrix are generalized and improved.

从矩阵理论和线性方程组迭代收敛的一般性原理出发，首次在不附加特殊条件的情况下，证明了CMAC学习算法在批量和增量两种学习方式下收敛的一般性定理，给出CMAC算法在批量学习方式下收敛的充要条件，以及在增量学习方式下收敛的必要条件，对前人在关联矩阵正定的特殊条件下得出的结论进行了推广和改进。

It should be pointed out that this necessary and sufficient condition isessentially one of the main results in author's doctoral thesis, but, here weonly need the weaker locally Lipschitz condition for both system vectorfield and control vector field.

另外，我们应该指出的是此充要条件本质上是作者博士论文中的主要结果之一，但本文中对系统向量和控制向量都只需要更弱的局部Lipschitz条件。

Ammonifiers in Suzhou Creek can not use inorganic nitrogen and carbamide as nitrogen source; additional carbon source and garbage lixivium have little influence on ammonifiers growth; high content of salt and low temperature restrain ammonifiers growth; alkalescent condition has little influence on ammonifiers, but acidic condition restrain ammonifiers growth; the biomass of ammonifiers are not necessary correlated with the function of ammonifiers, adding glucose with 1g/l content into the water sample obviously promote the growth and function of ammonifiers.

苏州河的氨化菌无法利用无机氮和尿素作为氮源；在营养条件充足时添加额外C源和富含有机物的垃圾浸出液对氨化菌的生长基本无影响；高盐度和低温抑制氨化菌生长；碱性条件对氨化菌的生长影响不大，酸性条件对氨化菌生长具有抑制作用；氨化菌生物量的消长与转氨活性之间不存在必然联系，1g/L的葡萄糖对苏州河水样中氨化菌的数量和转氨功能具有明显的促进作用。

This paper is divided into two parts: The first part, mainly discussed the properties of unitary equivalence and the relation between unitary equivalence and similarity, introduced a unitary equivalent of the necessary and sufficient condition: Specht theorem; The second part of a major demonstration of the 11 normal matrix's necessary and sufficient conditions, given some important properties of normal matrix such as simultaneous diagonalization.

本文主要分为两部分：第一部分，主要讨论了酉等价的性质及酉等价与相似的关系，介绍了酉等价的充分必要条件Specht定理；第二部分，主要论证了正规矩阵的11条充分必要条件，给出了正规矩阵的一些重要性质

In this paper,we discuss the extension of the Dω-order and D*ω-order in partiany or-dered group,obtain the necessary and sufficient condition for an extension of the partial-or-der in partially ordered group to Dω-order and D*ω-order, and the condition for the exten-sion of every partial order in a group to Dω-order.

讨论了偏序群的Dω－序扩展，得到了偏序群的偏序可扩展成为Dω－序的充要条件，以及每一偏序均可扩展成为Dω－序的条件，同时刻划了Dω－序群。

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％。