查询词典 corollaries

In this paper, the L(d,1)-labeling is studied and the upper bounds of λd of plane triangulation graph, solid tetrahedron subdivision graph, plane near quadrangle subdivision graph are derived, and as corollaries, the conjecture is proved to be true for the above several classes of graphs.

此文研究了作为L(2，1)-标号问题的推广的L(d，1)-标号问题，并得出了平面三角剖分图、立体四面体剖分图、平面近四边形剖分图的L(d，1)-标号的上界，作为推论证明了对上述几类图该猜想成立。

This unnatural spirit could not survive a period of calm deliberation; a leader was sure to rise from the Calvinistic ranks who should point out the baneful corollaries of the Genevan creed, and be listened to.

这种不正常的精神就无法生存一段时间的平静审议；领导肯定上升加尔文队伍谁应该指出的有害推论的Genevan信仰，并听取了。

And the generalized Schwarz inequality for complex Riesz homomorphism is obtained as well as some useful corollaries.

证明了复Riesz同态满足推广的Schwarz不等式，并得到相关的有用推论。

Secondly, we introduce the integral operator , where is an operator-valued functions, and derive some argument properties of the integral operator and some interesting corollaries as the special case.

二、将一类被积函数为复值函数的积分算子推广到被积函数为解析算子值函数的情况，并讨论了这类积分算子的辐角性质。

Theorem 4 it is not the path of integral but the points and in the locus L that affects the line integral of locus L of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral .several corollaries are derived from the theorems mentioned above.

定理4 势量场沿由坐标原点至圆柱螺线的切线所引垂线的垂足轨迹L的线积分与积分路径无关，只与轨迹L上的取的端点与有关。并由以上定理得到了几个推论。

I forget the first day when it made its appearance in a legislative bill; but with the advent of the New Deal in 1933 it had become a definitely established principle, enacted into law; and as year succeeded year, and its absurd corollaries made themselves manifest, they were enacted too.

我记不起平准价格第一次作为立法议案提出具体是哪一天，但是1933年新政实施时，它已经成为既定的原则，并作为法律颁布；而且，年复一年，平准价格的衍生论调也被陆续颁订为法律。

As corollaries, some existed results are obtained. A new method in the deduction of the strong limit theorem is adopted.

作为推论得到了已有的结果，在证明中采用了一种研究强极限定理的新方法。

Based on the existed theory of mareoids and fuzzy matroids, this thesis studies the closed regular fuzzy matroid and its fundamental sequence, the fuzzy base and its algorithm of closed fuzzy matroids, the fuzzy circuit and its algorithm of closed fuzzy matroids and so on. The main contributions of this thesis are as follows: 1 The necessary and sufficient condition of closed regular fuzzy matroid and a property of its fuzzy dual matroid are found by studying some properties of closed regular fuzzy matroid. 2 By studying some properties of fuzzt bases of closed fuzzy matroid, the necessary and sufficient condition of judging fuzzy bases of closed fuzzy matroids and some corollaries are found. In the end, an algorithm of obtaining a fuzzy base is given. 3 By studying some properties of fuzzt circuits of closed fuzzy matroid, some necessary and sufficient conditions of using its fundamental sequence to express fuzzy circuits are found. An algorithm of obtaining a fuzzy circuit is given. 4 By studying the fundamental sequence of closed regular fuzzy matroid, some necessary and sufficient conditions of fundamental sequence of closed regular fuzzy matroid are found.

本文在现有拟阵和模糊拟阵理论的基础上，研究了闭正规模糊拟阵及其基本序列，闭模糊拟阵的模糊基及算法、模糊圈及算法等内容，现分述如下： 1研究了闭正规模糊拟阵的一些性质，得到了闭正规模糊拟阵的充要条件及其模糊对偶拟阵的一个性质； 2研究了闭模糊拟阵模糊基的性质，找到了闭模糊拟阵模糊基的充要条件和几个推论，最后还给出了求模糊基的算法； 3研究了闭模糊拟阵模糊圈的性质，找到了用基本序列来表达模糊圈的几个充要条件，并给出了求模糊圈的算法； 4研究了闭正规模糊拟阵的基本序列，找到了闭正规模糊拟阵的基本序列的几个充要条件。

In order to simplify the process of solving dynamic programming equation, the lemmas and corollaries concerning properties of the optimal value function in up-peak of elevator are presented and proved; the structure of optimal dispatching policy in up-peak is constructed, and conclusion that the optimal dispatching policy in up-peak is a threshold policy is obtained.

为了简化求解动态规划方程，提出并证明了电梯上高峰优化值函数特性的相关引理和推论，构造了电梯上高峰最优调度策略的结构，得出了上高峰优化调度策略是基于阈值的策略的结论。

This paper introduces and investigates the filter theory of pseudo NM algebra. The notions of filters, generated filters, normal filters and prime filters etc. are defined. Their basic properties are investigated, with the structures of generated filters obtained. We show that prime filters and irreducible filters are equivalent, and that maximum filters must be prime filters. The prime filter theorem of pseudo NM algebra and its some corollaries are established.

引入了伪NM代数的滤子理论，定义了滤子、生成滤子、正规滤子和素滤子等概念，研究了它们的特征性质，给出了生成滤子的结构，证明了在伪NM代数中素滤子与不可约滤子等价以及极大滤子必是素滤子，建立了伪NM代数的素滤子定理及其推论。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。