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independent
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  独立
    Fractal Properties of Independent Increment Random Fields
    独立增量随机场的分形性质
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    An Empirical Study on the Relationship between Independent Director System and Accounting Transparency
    独立董事制度与会计透明度相关性的实证研究
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    An Empirical and Academic Study on the Quality of Independent Audit of Chinese Listed Companies
    中国上市公司独立审计质量的理论与实证研究
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    A Study on the Validation of Independent Director System in Chinese Listed Company
    我国上市公司独立董事制度有效性研究
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    THE CENTRAL LIMIT THEOREM FOR THE SUM OF A RANDOM NUMBER OF INDEPENDENT RANDOM VARIABLES AND ITS APPLICATIONS IN MARKOV CHAINS
    随机个数独立随机变量之和的中心极限定理及其在马尔可夫链上的应用
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  独立性
    Teaching Study On Independent Conception In Probability
    概率论中独立性概念教学探索
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    Independent Problem of Inference Rules of Medium Propositional System MP
    中介命题系统MP推理规则的独立性问题
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    Finally, the independent analyses and the connections of the two aspects of digraph is discussed.
    最后,对有向图的这两个方面进行了独立性分析以及对这两方面的联系进行了论述。
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    This paper gives the walsh characteristic function of χ 2 variable, T variable and F variable,and obtains respectively the walsh characteristic function and moment of dyadic addition of cross independent χ 2 variable, T variable and F variable on the basis of the independent feature of variable and the moment computational formula.
    本文给出了 χ2 变量、T变量、F变量的W特征函数 ,并且由变量的独立性和矩的计算公式 ,分别得到独立的 χ2 变量、T变量、F变量的二进和的W特征函数和矩
短句来源
    Let [X1, X2,…, Xn) be a simple random sample of size n chosen according to uniform distribution on the unit interval [0,1]. Then the interval is divided into (n + 1) sample spacing of lengths Y0, Y1,…, Yn respectively. In this paper, we attained asymptotic distribution of sample spacing length and asymptotic independent of Yi,Yj (i≠j) by discussing the behaviour of order statistics.
    设(X1,X2,…,Xn)为服从I=[0,1]上的均匀分布的简单随机样本,它们将 [0,1]分成(n+1)个样本区间,以Y0,Y1,…,Yn分别表示这些样本区间的长度.本文利用顺序统计量的性质讨论了Yi(0≤i≤n)的渐近分布以及Yi,Yj(i≠j)的渐近独立性
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  相互独立
    Large Number Law of Random Variable Sequence of Inter independent Identical Index in Distribution Laplace Transform
    相互独立同指数分布的随机变量序列在Laplace变换中的大数定律
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    One assumption of the models of traditional analysis of variance is that data are independent, which limits the application and power of the analysis of variance.
    传统方差分析模型的假设条件之一是试验数据相互独立,实际的试验数据未必能满足其条件,这使方差分析的应用范围和分析的效果受到限制。
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    Results It proposes the structure of second-order HMM(HMM2) on condition that observation noise is not independent of the Markov chain,and obtain the Baum-Welch algorithm of the model on condition that multiple observations is not independent.
    结果给出了在观测噪声和马尔可夫链不相互独立条件下二阶隐马尔可夫模型(second-or-der HMM:HMM2)的结构,获得了在多观测序列不相互独立的情况下HMM2的Baum-Welech学习算法。
短句来源
    Let X(y) and Y(k) be Erlang distribution with parameter (γ,/λ) and (κ,μ),X(r) and Y(k) are mutually independent.
    X(r)和Y(k)服从参数(γ,λ)和(κ,μ)的Erlang分布且相互独立
    Illustrating Independent Events and Its Probabilities by Using Venn Diagrams
    用Venn图表示相互独立事件及其概率
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  “independent”译为未确定词的双语例句
    ESTIMATIONS OF PARAMETERS OF HOMOGENEOUS PROCESS WITH INDEPENDENT INCREMENTS
    一类时齐的可加过程参量的估计
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    BOUNDARY VALUE PROBLEMS FOR SINGLE HYPERBOLIC DIFFERENTIAL EQUATIONS OF HIGHER ORDER IN TWO INDEPENDENT VARIABLES
    二自变量高阶双曲型方程的边值问题
短句来源
    On the Structure of Solutions of Linear Partial Differential Equation (sum from i+j≤n) a_(ij)p~iφ=0 With Two Independent Variables and Constant Coefficients
    论二个自变量常系数线性偏微分方程sum from i+j≤n a_(ij)p~iq~jφ=0的解的构造
短句来源
    The Distributions of Informational Redundancies of Random and Independent Sequences
    随机与无关联序列信息剩余度的分布
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    A Random Weighting Method for the Comparison of the Means of Two Independent Samples
    比较两组样本均值的随机加权法
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  independent
The least upper bound for the degrees of elements in a system of generators turns out to be independent of the number of vector variables.
      
The essential dimension is a numerical invariant of the group; it is often equal to the minimal number of independent parameters required to describe all algebraic objects of a certain type.
      
The constants obtained are independent of the dimension n and depend only on k,p, and the number of different eigenvalues of the matrix B.
      
Therefore, it should be an important step in developing a system for automated perspective-independent object recognition.
      
The low-frequency terms in the expansion involve an independent fractional Brownian motion evaluated at discrete times or, alternatively, partial sums of a stationary fractional ARIMA time series.
      
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The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions of equilibrium...

The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions of equilibrium and stability with the help of Lagrange's multipliers. The conditions of stability are expressed in several alternative forms. Next the equilibrium properties of a binary system arc considered, and some types of phase diagram are explained by means of equations. The theory is extended to the general heterogeneous equilibrium of a system consisting of any number of independent components. A system of equations for the change of temperature, pressure, and composition are obtained and are solved by means of determinants. Next Planck's theory of a binary solution is extended to a solution consisting of several solnte components, with the same conclusion regarding the lowering of freezing point as for a binary solution. Finally Planck's theory on the number of coexisting phases for aone-component system is extended to a system consisting of k components with the result that a state with, σ coexisting phases is more stable than one with σ-1 phases: where σ is an integer not greater than k + 2.

本文首述如何应用一半渗透之壁使一物体所包含各种分子之数改变,因之决定此物体之熵与其各种分子数之关系,由此关系极易推出一物体在改变其形态时,如汽化凝结等,所应适合之平衡条件。且若形态不变,而发生内部化学作用时,其平衡条件亦易推得。 次述如何由熵之增加原理推出能量最小之法则,然後应用此法则,辅以拉革兰氏之不定乘子,以求得一物体之普遍平衡与稳定之条件。其稳定之条件且以各种不同之形式表示之。 继讨论二元物体在平衡时之性质,随之以多元物体之性质,求得一组方程式以决定当此物体之性质改变时,其温度压力及各种分子之数如何改变。曾特别注意及溶液之性质,对於融点之降低与沸点之升高有一普遍之证明。 最後推广卜朗克氏关於并存形态之理论於多元物体,得与卜氏相似之结论。

The principal object of this paper is to present a direct method of finding the elevation of the exposuae station and conseqently the tilt and the swing, if desired, of an aerial photograph. Since the elevation of the exposure station is found, the plumb-line coordinate system can, in the sense of numerical calculation, be established however. The determination of the plumb-line coordinate system, relating to three ground control points and their cooresponding images on the photograph, means a determination...

The principal object of this paper is to present a direct method of finding the elevation of the exposuae station and conseqently the tilt and the swing, if desired, of an aerial photograph. Since the elevation of the exposure station is found, the plumb-line coordinate system can, in the sense of numerical calculation, be established however. The determination of the plumb-line coordinate system, relating to three ground control points and their cooresponding images on the photograph, means a determination of the position of the photograph in space. As can be seen the plumb-line coordinate system is definitely independent of the swing of an aerial photograph, the swing is not necessary in solving the space resection problem as the classical procedure done.The treetment in this problem involves only simple computations and produces exceptionally accurate results, as indecated in a numerical calculation during the preparation of this paper. Owing to the impossibility of publishing the numerical example in whole length, only the final results are referred here for comparing:

本文的目的,在於推導出一直接的算學方法,以求空中攝影的高度,進而求出其像片的倾角;如有必須時也求出像片的旋角來,但在本文的理論推導過程中,過去一般認為要先解决旋角的問題,而後才能解決空間定位問题的歷史看法,已經完全修正;旋角並不是解决空間定位問題所必須的。因為攝影高度既經决定,我們可以建立一垂綫坐標系,與像片在空間的轉動無關。每一像點在此垂綫坐標系上的關係完全可以藉攝影高度的得知而決定;此種關係的決定即相當於像片在攝影瞬間的空間位置的决定。這對於無論是像片的糾正、製圖、交會定點都是非常有幫助的。本文所論的方法,經數字計算的結果,表明精度是很高的,而計算手續也是簡便的。由於避免篇幅過長故未將全部計算例引出,只在此地列出一結果以相比較:

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...

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。

 
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