查询词典 combinatorial geometry

The performance function was decomposed into disjoint sets of variables to address the combinatorial explosion challenge caused by configuration variations.

该方法通过將性能函数分解为互不相交的变量子集，解决了因配置多样性產生的组合问题。

Along with the rapid development of computer technology, artificial intelligent methods are widely applied in dynamic combinatorial optimization problems.

随着计算机技术的迅速发展，人工智能方法在动态组合优化问题中得到了广泛应用。

A new method to solve the combinatorial optimization problems with mixed evolutionary algorithm based on natural scale enumerative system coding was proposed in this paper. Elitism strategy, one-point crossover and Gaussian mutation were used in the algorithm. An ingenious method for operation among big parameters was designed, which can avoid overflow and simplify the operation.

在自然进位制编码的基础上，算法采用了遗传算法的单点交叉算子和进化规划的高斯扰动算子，并运用了精英保留策略；算法实现时采用逐位运算法实现大数值运算，避免了运算溢出，减少了运算量。

These sets are interesting subsets of natural number in combinatorial number theory, ergodic theory and topological group.

这些集合是人们在组合数论、遍历理论以及拓扑群中感兴趣的重要的自然数子集。

The overexpression and combinatorial expression of genes involved in ergosterol biosynthesis are not only useful to construct strains with high ergosterol content, but also present a putative technical process that can be used to microbiology breeding.

上述研究不但获得了高麦角甾醇和较高生物量的酵母菌株，同时也为具有重要应用价值的微生物育种探索了可以借鉴的新方法和新技术。

These results indicated that the presented method could be applied efficiently to the solution-phase combinatorial chemistry based on Williamson etherification.

结果表明该方法可高效率地用于基于Williamson醚化反应的液相组合化学合成。

Then combined with the concept of solution backboens of combinatorial optimization problems, we design a bacbkone-based extremal evolutionary algorithm.

应用新的变量适应度定义，设计了基于模式的极值进化算法。

A combinatorial identity is obtained:=:~z 2r扟32-rn-iJ As main result of this paper, in section two, the convolution梩ype identities emerge from our discussion about Lagrange formula whom in author 憇 view can be taken as the inherent characteristic of Lagrange formula but have been ignored fOi so long time.

第一章对拉格朗日反演在Riordan群理论中的应用进行了介绍，证明了一个组合等式：第二章通过对拉格朗日反演定理本身的分析，得到一个对任意的形式幂级数都适用的三个拟卷积公式，这些公式体现了任意能在零点解析的函数的内在性质。

We demonstrate that coexpression of the Forkhead protein FoxC2 and the Ets protein Etv2 induces ectopic expression of vascular genes in Xenopus embryos, and that combinatorial knockdown of the orthologous genes in zebrafish embryos disrupts vascular development.

实验显示，Forkhead蛋白FoxC2和Ets蛋白Etv2的共同表达，能够诱使非洲爪蟾胚胎血管基因的易位表达。

Our studies mainly focus on the free groups with finite ranks . Free groups with finite ranks are the fundamental subjects of combinatorial group theory, and they have central importance for the studies of both topology and algebra.

我们研究比较多的是有限秩的自由群，有限秩自由群是组合群论的中心课题，是一个在拓扑学及代数学上都具有重要意义的研究对象，获取有关这些自由群的结构的信息的一个主要方法是研究其上的各种自同构作用。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。