查询词典 smallest element

Applying the De Caen"s inequality of sum of the squares of the degree and Cauchy"s inequality, we obtain a strict lower bound and a strict upper bound of the largest Laplace eigenvalues only in terms of vertex number of a unicycle graph. Applying the Laplace matrix theorem of trees, we obtain an upper bound of the second smallest Laplace eigenvalues of a unicycle. Extremal graph whose second smallest Laplace eigenvalues reach the obtained upper bound is determined. We also obtain an upper bound of the second largest Laplace eigenvalues in terms of vertex number of the largest connected branch of unicycle graph, and obtain a theoretical method to calculate the second largest Laplace eigenvalues of unicycle graph. We obtain an upper bound of any Laplace eigenvalues in terms of vertex number of a unicycle graph. We also obtain the distribution of Laplace eigenvalues in the inter [0,n] in terms of the matching number.

本文得到了以下几个方面的结果： 1、利用图度平方和的De Caen不等式和Cauchy不等式给出单圈图的最大Laplace特征值仅依赖于顶点数的严格的上下界；利用树的Laplace理论给出了单圈图次小Laplace特征值的一个上界，并刻画了达到该上界的极图；利用子图的连通分支的顶点个数给出了单圈图次大Laplace特征值的一个上界，并给出了单圈图次大Laplace特征值一个理论上的一个求法；利用单圈图的阶数给出了其一般Laplace特征值的一个上界；利用单圈图的匹配数给出其Laplace矩阵谱在区间[0，n]上的分布情况。

6Although common prejudice still believes that the sole essential basis of our knowledge is given exclusively from outside and that "nihil est in intellectu quod non antea fuerit in sensu, it nevertheless remains true that the thoroughly respectable atomic theory of Leucippus and Democritus was not based 0 any observations of atomic fission but on a "mythological" conception of smallest particles, which, as the smallest animate parts, the soul-atoms, are known even to the still palaeolithi inhabitants of central Australia.9 How much "soul is projected into the unknown in the world of external appearance is, of course, familiar to anyone acquainted with the natural science and natural philosophy of the ancients.

虽然普通的偏见依然相信我们知识的唯一的本质的基础是来自外部世界，and that "nihil est in intellectu quod non antea fuerit in sensu，路斯帕和德谟克利特令人敬佩的原子理论并不基于任何对原子裂变的观察，而是基于"神话的"最小粒子的概念，这是作为最小的有生气的部分，灵魂的原子，这些也为中澳大利亚旧石器时代的居民所知。有多少"灵魂投射进世界外观的未知中，当然，也和任何人所熟知的古代人的自然科学、自然哲学相似。

Registers are always the most efficient way to store immediate values, and using them always generates the fastest and smallest code (smallest because most instructions have short preassigned codes for accessing registers).

寄存器是存放马上要使用的变量的最有效的方式，因为只有这样才能产生最快最小的代码(产生最小的代码是因为大多数指令都有用于访问寄存器的较短的预处理指令)。

Alaska is the smallest in population and Rhode Island is the smallest in size.

最大的国家在人口，是美国加州，而最大的地区是阿拉斯加。

The article elaborated the seismic sedimentology's concept and the discipline characteristic, thought the earthquake sedimentology may divide into the seismic geomorphology and the reservoir seismography according to the research criterion, propose research method from the application aspects. The article proposed the smallest isochronal strata unit concept at the first time, namely three-phase (seismic, oil well logging, core) unifies the unification when the research the well and seismic, is smallest geology chart unit with depositional analysis.

文章阐述了地震沉积学的概念和学科特点，认为地震沉积学可以按研究尺度分为地震地貌学和储层地震学，从应用角度提出了地震沉积学的研究思路，并首次提出最小等时研究单元的概念，即三相（地震相，测井相，岩芯相）结合研究时井震统一的尺度，是沉积分析时一个最小的地质成图单元。

The results show that:①The mean length of Ligularia is the biggest, and the mean length of Ajania, Anaphalis and Artemisia is the smallest; the mean width of Aster and Ligularia is bigger than that of others; the mean length/width have lots of differences, the biggest being Senecio, and the smallest Artemisia.

①橐吾属连萼瘦果平均长度最大，亚菊属、香青属和蒿属连萼瘦果平均长度较小；紫菀属和橐吾属的平均宽度相对较大；长／宽的平均值在各属间相差很大，最大的为千里光属，蒿属最小。

In other words, Selection Sort first finds the smallest key in an unsorted list, then the second smallest, and so on.

也就是说，选择排序首先在没有排序的队列中找出最小的一个，然后是第二小的一个，等等。

Pit formed in stamper molding, is the smallest thing on the stamper. It's as small as smog particle, which means that even the smallest impurity can damage large amounts of data.

在制主片过程中形成的 pit，是所有制作形成物中最微小的，每一个只有烟雾的颗粒大小，这就意味着最微小的杂质也会损坏大量资料。

In Chapter 4, we characterize bicyclic graphs with the smallest values of the second Zagreb index, and if α≥ 1, unicyclic graphs with the smallest value of the general Randic index.

在论文的第四章里，我们给出了双圈图的第二Zagreb指标的最小值和在α≥1时，单圈图的广义Randi指标的最小值。

The biggest men and women with the biggest ideas can be shot downby the smallest men and women with the smallest minds.

胸怀大志的男人和女人，可能会被心胸最狭隘的小人击倒。

For every one of my New Year resolutions, I have been a backslider for years.

说到我的新年决心，我每年都做

With empathy and focus on a feeling level, we can all relate to the common ground of mutuality of emotions.

有了同情心和感觉上一级的重点，我们都可以涉及到相互的情感共同点。