查询词典 normal basis theorem

One will reach a best cut order and the minmum if he incises these edges by means of methods of theorem 1 and theorem 3 in this paper.

文中的定理 1 和定理 3 给出了求最优切割顺序和最小值的方法。

This chapter proposes three conceptions, i.e., Kernelled quasidiferential, star-kernel and star-diferential, and establishes their operational properties. A sufficient theorem and a sufficent and necessity theorem for a quasi-kernel being a kernelled quasidiferential are proven. Both the existence of star-kernel for a quasidiferentiable function and the existence of star-differential for a direnction-ally diferentiable function are established.

在这一章里，首先给出核拟微分，星核与星微分的定义及其它们的运算性质；然后证明了拟核微分的一个充分条件定理及一个充要条件定理；最后讨(来源：A27BC论文网www.abclunwen.com)论拟可微函数星核的存在性及方向可微函数星微分的存在性以及Penot-微分与上下导数之间的关系。

The fundamental properties of the system K are studied,and it is pointed out that All theorems of the system L are theorems of the system K.Some important theorems about quantifiers are obtained.Moreover,the following results also are proved that all instances of substitution in the system K of tautologies of the system L are logically valid for any R0 chain,the soundness theorem and strong soundness theorem hold in the system K,i.e.,all theorems ofthe system K also logically valid for any R0 chain.

其次，研究了系统K*的基本性质，指出了系统L*的定理都是系统K*的定理，给出了系统K*与量词有关的一些重要定理，证明了系统L*的重言式在系统K*中的代换实例都是系统K*中关于任何R0链的逻辑有效公式；系统K*的可靠性定理成立，即系统K*中的定理关于任何R0链也是逻辑有效的；系统K*的强可靠性定理也成立，即系统K*在任何理论T下的定理关于任何R0链也是逻辑有效的。

This paper mainly introduces several different methods to prove the mid-value theorem, at the same time the mid-value theorem is applied in the mathematical theory, such as the application and mathematical modeling.

本文主要推荐几种不同的方法证明微分中值定理，同时对微分中值定理加以应用，如在数学理论中和数学建模中的应用。

When proving the differential mid-value theorem,"Higher Mathematics" does know to make the auxiliary function ф in order to apply Rolle Theorem.

在证明微分中值定理时，《高等数学》作辅助函数ф的目的是为了应用罗尔定理。

In chapter II,an extended strongly equivalent theorem forgerms with parameters is proved.The theorem is useful to constructthe factoring map between any unfoldings and universal unfolding.

在第二章中，对带有参数的核证明了一个推广的强等价性定理，这个定理在构造任意开折和普适开折因式相通的变换中有一定的应用。

Chapter 4 is devoted to the existence and multiplicity of homoclinic for self-adjoint nonlinear second order difference equations by using "Mountain Pass " theorem and "Symmetry Mountain Pass "theorem in critical point theory.

第四章应用临界点理论中的山路引理与对称山路引理研究了一类自共轭非线性二阶差分方程的同宿轨的存在性与多重性。

Based on the tree martingale decomposition theorem and the con-vergence of locally finite tree martingales,a tree martingale convergence theorem isverified.

再基于树鞅分解定理和局部有限树鞅收敛定理，证明了一个树鞅收敛定理。

In this paper, a fixed value theorem for direct areas of height triangle s in circular inscribed polygons is obtained, and some results, including the famous height theorem in a triangle, are deduced.

给出圆内接 2n +1边形中高线三角形有向面积的定值定理及其推论，其中包括著名的三角形的高线定

Results:(1) Progesterone-treated models showed intact nasal mucosa, regular ciliary lining and inactive glands;(2) Untreated or normal saline treated models showed disrupted mucosa, inverted cilia and massive mucosal infiltration of neutrophils;(3) Smearing of nasal discharge revealed limited vs abundant number of neutrophils in SD models treated with progesterone vs untreated or treated with normal saline.(4) Hoechst stain: significantly fewer apoptotic cells per field were found in progesterone-treated models (1.583 ± 0.28) compared with untreated or normal saline treated models (2.85 ± 0.285 and 4.8 ± 0.715, respectively).

结果：(1)用黄体酮滴鼻液治疗的SD大鼠鼻腔黏膜上皮完整，纤毛整齐，腺体开放不多；(2)用或不用生理盐水滴鼻液治疗的SD大鼠鼻腔黏膜上皮纤毛倒伏，上皮结构散乱，上皮层大量中性粒细胞浸润；(3)鼻腔分泌物涂片示黄体酮滴鼻液治疗的SD大鼠有少许中性粒细胞，而用或不用生理盐水滴鼻液治疗的SD大鼠鼻腔分泌物含有大量中性粒细胞；(4)Hoechst染色：用黄体酮滴鼻液治疗的SD大鼠鼻腔黏膜上皮凋亡细胞数［(1.583±0.28)/视野］明显少于用或不用生理盐水滴鼻液治疗的SD大鼠［分别是(2.85±0.285)/视野和(4.8±0.715)/视野］。

If you were not , and OS X just booted normally, have no fear.

如果你没有，和OS X刚刚启动通常，没有恐惧。

I only want to preserve our all .

我只想保存好我们的一切