查询词典 numbers

This paper discusses the strong laws of large numbers for random variable functions, and proves a strong law of large numbers for random variable functions by the analytical method.

文章主要讨论了任意随机变量序列泛函的强大数定律，并采用分析的方法证明了任意随机变量序列泛函的强大数定律，作为推论，得到了有关非齐次马尔可夫链函数的一个强大数定律。

Whereas people often proved indecipherable to him, numbers were far less tricky for Tammet, who also has synesthesia, a rare condition that causes him to ascribe colors, sizes and emotions to numbers.

然而，对于人群，通常他无法理解；而个别人对于同时患有联觉的 Tammet 来说远非不易处理之事（联觉是一种罕见的病症，使他将颜色、大小和情绪转化为数字）。

In order to avoid being unable to select those residences with unlisted telephone numbers, we first took a systematic random sample of telephone numbers, and then added one to the last digit.

首先先依等比例的原则计算各县市应抽取出的样本数，其次依等距抽样的原则抽出电话号码。为避免未登录电话号码的用户无法被抽中，遂在抽出的电话号码尾数加 1，作为受访的样本户。

The frame adopted for this survey was the telephone listings for the Taiwan Area. In order to avoid being unable to select those residences with unlisted telephone numbers, we first took a systematic random sample of telephone numbers, and then replaced the last digit with a random number. Respondents were chosen from within the selected household according to a set intra-household sampling procedure. The target for this survey was 1200 successful interviews.

本研究以台湾地区住宅电话簿作为抽样的母体清册，为避免未在电话号码簿上登记的用户无法被抽中进行访问的情形，抽样时首先依系统抽样的原则抽出某一电话号码，再以随机乱数取代此号码的尾数，作为访问的样本户，访问时再由访员依户中抽样的原则，抽出应受访的对象进行访问。

The frame adopted for this survey was the telephone listings for Tainan City. In order to avoid being unable to select those residences with unlisted telephone numbers, we first took a systematic random sample of telephone numbers, and then added one to the last digit. Respondents were chosen from within the selected household according to a set intra-household sampling procedure.

电话访问以台南市的住宅用电话用户作为抽样之母体清册，首先以等距抽样的原则抽出电话号码，为避免未在电话号码簿上登记的用户无法被抽中的情形发生，遂在抽出的电话号码的尾数加1，作为受访的样本户，实际访问时，访员再按洪永泰所设计的户中抽样原则抽出受访对象。

The frame adopted for this survey was the telephone listings for Taipei County. In order to avoid being unable to select those residences with unlisted telephone numbers, we first took a systematic random sample of telephone numbers, and then added one to the last digit. Respondents were chosen from within the selected household according to a set intra-household sampling procedure.

电话访问以台北县的住宅用电话用户作为抽样之母体清册，首先以等距抽样的原则抽出电话号码，为避免未在电话号码簿上登记的用户无法被抽中的情形发生，遂在抽出的电话号码的尾数加1 ，作为受访的样本户，实际访问时，访员再按洪永泰所设计的户中抽样原则抽出受访对象。

Throughout his life Euler was much absorbed by problems dealing with the theory of numbers , which treats of the properties and relationships of integers, or whole numbers 0,±1,±2, etc.

没有一个人能像他那样多产和那样高超地掌握数学的技巧，在数学的许多分支中都有以他命名的公式、常数等等。

In addition, by utilizing Jacobi two square numbers theorem and Lagrange four square numbers theorem and some theta function identities, we also prove the known results of number theory: two triangular number theorem, four triangular number theorem, and the number of representations of a positive integer by various quadratic forms in terms of divisor functions

包括Jacobi二平方数定理，Lagrange四平方数定理等，然后利用这些结果结合几个theta函数恒等式，我们获得了把任意一个正整数表示成两个三角数或四个三角数的和以及其他的二次形式的方法数，这些方法数都是用因子函数来表示的。

Under the condition of the following factors concerning the optimization models:the investment cost, operating cost, unfair cost, payment evade cost, drivers' extra cost and environmental pollution cost, this paper raises the optimized models of multi-modes payment of toll collection system and its algorithm is proposed by SAGA hybrid optimization strategy, which can simultaneously optimize the following results: the optimum locations of toll stations, numbers of toll stations, the numbers of different tolling modes' tollgates of every toll station, ETC users' discount rate, and can estimate the installation rate of TAG of every toll station, the actual traffic flow capacity of different tollgate, can obtain the best toll collection system under the different simulated decision conditions.

本文充分考虑了驾驶员缴费技术选择与缴费车道选择的特性，提出了驾驶员缴费方式随机选择模型；在考虑了收费系统的投资成本、营运成本、不公平成本、漏收成本、驾驶员的额外成本和环境污染成本等因素的基础上，提出了多收费方式收费系统的优化模型，提出采用模拟退火遗传算法进行收费系统寻优的算法，可同时优化出一个收费系统的收费站位置与数量、不同收费站不同收费方式的收费车道数和ETC用户的折扣率等参数，可估算不同收费站TAG的安装率、不同收费车道实际使用量，可模拟不同决策情境下的最佳系统资源配置方案。

The total cell numbers and differential cell numbers in BALF were counted.

哮喘组BALF中PMN和嗜酸性粒细胞计数显著高于对照组(P.01)。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。