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random
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  随机
    Some Precise Limit Theorems of Random Variables
    随机序列的一些精确强极限定理
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    Some Random Models and Their Application in the Risk Theory
    风险理论中的若干随机模型及其应用
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    On the Research of Limit Theorems for NA Random Variables
    关于NA随机变量列极限定理的研究
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    Limit Properties of Markov Chain in Random Environment
    随机环境中马氏链的极限性质
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    Random Recursive Sets and Random Walk in Random Environment
    随机递归集和随机环境中随机游动
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  “random”译为未确定词的双语例句
    On a Class of Methods for Solving Problems of Random Boundary Notches and/or Cracks
    关于任意边界缺口或裂纹群问题的一类解法(Ⅰ)解析方法
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    Combination of Random Error and Systematic Error
    偶然误差与系统误差的合成
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    The Quantization Errors of Statistical Characteristics of Discrete Stationary Random Data
    离散平稳随机数据统计特性的量化误差
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    A Method for Generating Uniform Random Number and Its Testing
    均匀随机数的一种产生方法及其检验
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    The estimation about the mean steps of random walk of Monte Carlo solutions for parabolic difference equations
    关于抛物型方程Monte Carlo解法的平均游动步数的估计
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  random
In this paper we investigate the pointwise Fourier decay of some selfsimilar random measures.
      
For example, our result shows that a "slight" random perturbation of the classical Cantor set becomes a "nice" set in the sense that its Fourier dimension equals its Hausdorff dimension.
      
This criterion implies several results concerning the problem of integrable solutions of n-scale refinement equations and the problem of absolutely continuity of distribution function of one random series.
      
The assumption that the temperature anisotropies of the CMB are a realisation of a statistically isotropic Gaussian random field on the sphere is questioned.
      
These decompositions have a multiscale structure, independent Gaussian random variables in high-frequency terms, and the random coefficients of low-frequency terms approximating the Gaussian stationary process itself.
      
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Two types of optimalizing control systems are analyzed and compared under random interferences. By means of approximation, the expectation values of hunting loss are calculated.

本文利用近似法求出两种极值調节系統在随机干扰影响下搜索損耗的数学期望,因而可以在具体条件下比較两种調节器的优缺点。在正态平稳随机干扰下,相关搜索法对較强的輸入端干扰是适宜的;反之,在較弱的輸入端干扰时,一般步进搜索法比較有利。計算結果也給出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅,这些都是調节器的重要参数。

The parametric methods of significance test commonly used in textile industries are based on the assumption that the parent population were distributed normally or in some other definite form. Yet in textile industries exact informations about the population distribution are hardly accessible to us. Hence a test independent of the nature of the population distribution is needed in these industries. In this paper we first discuss a non-parametric method of testing whether two samples of machine parts are from...

The parametric methods of significance test commonly used in textile industries are based on the assumption that the parent population were distributed normally or in some other definite form. Yet in textile industries exact informations about the population distribution are hardly accessible to us. Hence a test independent of the nature of the population distribution is needed in these industries. In this paper we first discuss a non-parametric method of testing whether two samples of machine parts are from populations with the same fraction defective. A table has been constructed giving the critical values of the defectives in a second sample after a first sample, both random, has been drawn in which the number of defectives is known. If the number of defectives in the second sample does not exceed the critical value corresponding to that of the first sample at prescribed significance level a, then we may conclude that in 1—a of the cases the fraction defective of the population from which the second sample is drawn is not greater than that of the first. Further, an extension of this method may be established for testing whether two samples are from populations with the same distribution function, for which the only assumption is the continuity of the distribution. A table has also been constructed giving the lower and upper critical values at preassigned confidence level a. If the number of observed values in the second sample, which are smaller than (or larger than) the median of the first, lies between the corresponding critical limits, then we may conclude that in l—a of the cases the two samples are from populations with the same distribution function. Power function of the test has been calculated and examples for testing rayon filament strength and lea strength have been given for illustrative purposes.

紡織工業常用的各種參數性檢定法都需要假定母體成為常態分佈或他種確定的分佈。但母體實在成為何種分佈往往並不能準確斷定。因此需要一種不論母體成为何種分佈都能適用的方法。本文討論一种检定兩子樣是否來自同一母體的方法,祇需要假定母體分佈為連續函數而可不問它是什麼樣的分佈。這種方法適合紡織工業之用,因其不仅適用範圍極為廣泛,且用法之简便還超過常用的參數性检定法。首先我们推導了拉潑拉斯的廣義貝斯定理。然後在這定理的基礎上建立了一種適合紡織机件製造工業用的檢定兩子樣來自的母體的次品率是否相同的方法。編製了一種表格以備工廠撿查,並計算了這種检定法的功效函數。然後闡明檢定兩子樣來自的母體的頻率分佈是否相同的非參數性檢定法可以看作上述方法的一種擴展。對於這種方法也編製了一張表格,並舉了縷紗强力試驗及人造絲單纖維强力試驗的兩個例題。

Two types of optimalizing control systems are analyzed and compared under random interferences.By means of approximation,the expectation values of hunting loss are calculated. In the case of Guassion stationary random interferences,when the interference at the input terminal is stronger than that at the output terminal,the hunting loss of the correlation type optimalizing system is smaller;but when the interference at the input terminal is weaker than that at the output terminal,the hunting loss...

Two types of optimalizing control systems are analyzed and compared under random interferences.By means of approximation,the expectation values of hunting loss are calculated. In the case of Guassion stationary random interferences,when the interference at the input terminal is stronger than that at the output terminal,the hunting loss of the correlation type optimalizing system is smaller;but when the interference at the input terminal is weaker than that at the output terminal,the hunting loss of the gradient type optimalizing system is smaller.These results can be used as a guide to choose the searching method in vatious interference levels.

本文利用近似法求出两种极值调节系统在随机干扰影响下搜索损耗的数学期望,因而可以在具体条件下比较两种调节器的优缺点.在正态平稳随机干扰下,相关搜索法对较强的输入端干扰是适宜的;反之,在较弱的输入端干扰时,一般步进搜索法比较有利.计算结果也给出了在各种干扰强度下步进法的最佳步长及相关法的最佳搜索信号振幅.这些都是调节器的重要参数.

 
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