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It is also proved that the class of monotone increase functions is PAC solvable under a GA with reproduction and random mutation.

本文还证明了对于由复制和一个按顺序的变异构成的遗传算法,严格单增的函数是PAC可解的,单峰函数是非PAC可解的;对于由复制和随机变异构成的遗传算法,严格单增函数是PAC可解的。

In this paper, we manily discuss the solvable problems including existence and continuity on a class of monotone type input-output equation in R~n.

Leontief所提出的"投入产出分析",本文主要讨论和研究了R n空间中消耗为单调型的投入产出方程的可解性问题。

As two important tools, the weight space decomposition of modules of a nilpotent Lie algebra (Section 1) and irreducible finite dimensional representations of solvable Lie superalgebras (Section 2.3) are presented in detail.

讨论过程中,作为两个重要的工具,对幂零李代数其模的权空间分解(第1节),以及可解李超代数的有限维不可约表示(第2.3节)也作了详细的介绍。

The reader will need to know some basic finite group theory: the Sylow theorems and how to use them and some elementary properties of permutation groups and solvable and nilpotent groups.

读这本书之前,读者需要一些有限群论的基本知识,如Sylow定理及其应用,置换群,可解群和幂零群的基本性质等等。

In the present paper,we investigate solvable radicals and Hopkins nilpotent radicals for Lie triple systems and prove that both radicals are invariant under actions of deriva- tions.

本文讨论李三系的可解根基和Hopking幂零的某些性质及导子作用下的不变性,讨论了李三系次理想的某些性质,证明了李三系为幂零的当且仅当每个子系都是次理想。

One of the cases was showed in theorem 4.18: finite group G is solvable if and only if Sec is nilpotent for every maximal subgroup At without prime index in G.

在本文中作者将要证明:G可解当且仅当对G中的任意极大子群M,或者I中存在极大元C使C/K幂零并且其Sylow2-子群的幂零类≤2,或者Sec为2-闭。

Nilpotent and solvable Lie groups with left-invariant Riemannian metrics play aremarkable role in Riemannian geometry.

在黎曼几何中,带有左不变黎曼度量的幂零和可解李群具有重要作用。

Every thing is obtainable or solvable no matter what it is.

任何事都是可以解决的。

Each Team Challenge is designed to be open-ended and solvable in many ways and on many levels.

每一队的挑战都是开放性的而且是可以用不同的方法和从不用的层面来解决的。

Theorem3 G is a formal set p~n q of p -order subgroup of solvable simple group meeting, P is Sylowp -subgroup of G .

定理3设G是有正规p -子群的p~n q阶可解次单群, P是G的Sylowp -子群。

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I had a lovely dog named PiPi, he was one of my best friends.

我曾经有过一只小狗,它的名字叫皮皮,它很善良,它是我最忠实的朋友。

Newly ovulated mouse oocytes were cultured in the CZB medium supplemented with different concentrations of pyruvate before treated for activation or assayed for MPF activity.

我们猜测卵母细胞在不含丙酮酸的条件下老化的更快,并且卵丘细胞可能通过消耗不含葡萄糖的CZB中的丙酮酸从而促进卵母细胞老化。

At least now there are trappings of progress.

至少到现在已经有前进的迹象。