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定理
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  theorem
     LC3 = CUP, as well as extending the Harrington plus-cupping theorem in 1978.
     LC_3=CUP,同时也扩充了Harrington1978年的加杯定理(Plus Cupping Theorem)。
短句来源
     Limit theorem of Directly--Riemann integral(Ⅱ)
     Directly——Riemann积分极限定理(Ⅱ)
短句来源
     On Hardy-Littlewood-Polya's Theorem
     关于Hardy-Littlewood -Polya定理(英文)
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     Mathai-Quillen's Thom Form and the Gauss-Bonnet-Chern Theorem
     Mathai-Quillen之Thom形式和Gauss-Bonnet-陈省身定理(英文)
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     Browder's Theorem and Weyl's Theorem
     Browder定理和Weyl定理(英文)
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  “定理(”译为未确定词的双语例句
     Fixed Point Theorems for Mapping of D_c(α,β,γ)
     关于D_c(α,β,γ)类映象的不动点定理(英文)
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     In this Paper, we give the following theorems:(1) If (Ω,Σ,μ) is a Positive σ-finite measure space, then L_∞(μ,X) is a WCG space if and only if L_∞(μ) and X are WCG spaces.
     本文给出如下定理:(1)如果(Ω,Σ,μ)是σ~-有限的正测度空间,则L_∞(μ,X)是WCG空间当且仅当L_∞(μ)和X是WCG空间。
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     Rigidity Theorems of Riemannian Manifold with  2Ric=0
     ~2Ric=0的Riemann流形的刚性定理(英文)
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     Hsu-Robbins Type Theorems for Pairwise Products Sums of I.I.D. Random Variables (Ⅰ)
     I.I.D.随机变量两两乘积之和的Hsu-Robbins型定理(Ⅰ)
短句来源
     Hsu-Robbins Type Theorems for Pairwise Products Sums of I.I.D. Random Variables (Ⅱ)
     I.I.D.随机变量两两乘积之和的Hsu-Robbins型定理(Ⅱ)
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  相似匹配句对
     Theorem C.
     定理C.
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     Three Theories of S~n
     S~n的三个定理
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     Theorem.
     定理:设Ω(?)
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     (4) melization theorem.
     (4)度量化定理
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  theorem
In the case of 3-dimensional commutative algebras a new proof of a recent theorem of Katsylo and Mikhailov about the 28 bitangents to the associated plane quartic is given.
      
If the additive group of complex numbers acts algebraically on a normal affine variety, then the associated ring of invariants need not be finitely generated, but is an ideal transform of some normal affine algebra (Theorem 1).
      
If the variety is a complex affine space and the ring of invariants is isomorphic to a polynomial ring, then the action is conjugate to a translation (Theorem 3).
      
On the other hand, there is a locally trivialGa-action on a normal affine variety with nonfinitely generated ring of invariants (Theorem 2).
      
As an application of the results we prove a generalization of Chevalley's restriction theorem for the classical Lie algebras.
      
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Until now there is no universally accepted formulation of the third law of thermodynamics. In this paper, a formulation appeared more general to the author is presented, viz. the derivation of Nernst's heat theorem from the principle of the unattainability of the absolute zero of temperature. Some controversal points, like the absolute value of entropy and the proof of the unattainability of absolute zero by means of Carnot cycle, are discussed.

热力学第三定律的说法至今还没有一致。本文提出一种作者认为较普遍的说法:以绝对零度不能达到为基础导出能氏定理。本文还讨论了一般所争论的问题,如熵的绝对值问题,利用卡诺循环证明绝对零度不能达到问题。

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。

The present paper continues an earlier investigation of the application of Meyer's theory of a gas mixture of two components to a solid solution AB inhabiting a lattice of the type AB by considering the A. atoms inhabiting the two different sublattices as forming two different components. It is proved that the different irreducible cluster integrals are linear functions (and hence the free energy of the solid solution) of coordination numbers of the type

这篇论文是作者之一的某一篇论文的继续。论文分四节。在第一节中我们讨论的对象是应用二元混合气体的买厄理论至一个在AB型晶体上的二元固溶体而获得的不可约集团积分B(v_1,v_2)。我们严格地证明了它们是某一些晶体常数z_1,z_2,…的线性函数。这些常数的定义为 1/((1/2)N)∑λ_(ab)λ_(a′b′)… ,式中N代表晶点阵的点的总数,λ_(ab)为邻矩阵,定义为 λ_(ab)=1 如果ab为近邻, =0,如果ab不是近邻,a,a′,…互不相等,b,b′,…也互不相等,而乘积λ_(ab)…为全部下标的一个不可约乘积。证明共用了三个定理,同时也援用了一个所谓基本不可约集团的定义。 在第二节中,我们应用了第一节的讨论对B(2,3)作了计算。 在第三节中,我们应用第一节的结果,简化了求固溶体自由能的Kirkwood方法,同时也利用了简化的方法求得了自由能对(kT)~(-1)展开的幂级数中(kT)~(-7)的系数。比(kT)~(-7)更早的项的系数早已在作者之一的一篇论文中求得。 在第四节中,我们利用第一节的结果,证明了严格理论在忽略z_2,z_3,…时即成了Bethe理论的第一级近似。如果将自由...

这篇论文是作者之一的某一篇论文的继续。论文分四节。在第一节中我们讨论的对象是应用二元混合气体的买厄理论至一个在AB型晶体上的二元固溶体而获得的不可约集团积分B(v_1,v_2)。我们严格地证明了它们是某一些晶体常数z_1,z_2,…的线性函数。这些常数的定义为 1/((1/2)N)∑λ_(ab)λ_(a′b′)… ,式中N代表晶点阵的点的总数,λ_(ab)为邻矩阵,定义为 λ_(ab)=1 如果ab为近邻, =0,如果ab不是近邻,a,a′,…互不相等,b,b′,…也互不相等,而乘积λ_(ab)…为全部下标的一个不可约乘积。证明共用了三个定理,同时也援用了一个所谓基本不可约集团的定义。 在第二节中,我们应用了第一节的讨论对B(2,3)作了计算。 在第三节中,我们应用第一节的结果,简化了求固溶体自由能的Kirkwood方法,同时也利用了简化的方法求得了自由能对(kT)~(-1)展开的幂级数中(kT)~(-7)的系数。比(kT)~(-7)更早的项的系数早已在作者之一的一篇论文中求得。 在第四节中,我们利用第一节的结果,证明了严格理论在忽略z_2,z_3,…时即成了Bethe理论的第一级近似。如果将自由能表为z_1,z_2,…的函数而称它们的系数为f_1,f_2,…,那末我们指出:只消研究在某些赝点阵上的固溶体的配分函数,便可以求出f_1,f_2,…,同时我们也指出:在这些赝点阵上的固溶?

 
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