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theorem     
相关语句
  定理
     The Bergman Kernel Function on the Hua Domain, the Comparison Theorem and Einstein-K(?)hler Metric on Super-Cartan Domain of the First Type
     华罗庚域上的Bergman核函数、比较定理和Einstein-k(?)hler度量
短句来源
     Riemann-Roch Theorem
     Riemann-Roch定理
短句来源
     The Research on the Extension Rule Based Theorem Proving
     基于扩展规则的定理证明的研究
短句来源
     iGeo: A Theorem Prover of the Intelligent Geometry Software
     iGeo:智能几何软件的定理证明器
短句来源
     Applications of Weil's Theorem in Combinatorial Designs
     Weil定理在组合设计中的应用
短句来源
更多       
  定理的
     Topological Structure of Gauss-Bonnet-Chern Theorem and φ-mapping Topological Field Theory of Higher-dimensional Knot-like Branes
     Gauss-Bonnet-Chern定理的拓扑结构和高维纽结膜的φ映射拓扑场论
短句来源
     A REMARK ON BOLTZMANN H THEOREM
     H定理的一个补充
短句来源
     A SIMPLE PROOF OF THE NORM THEOREM OF MAASS
     Maass模定理的一個簡單證明
短句来源
     On the Extension of the Theorem of the Relative Torsion of Bonnet
     关于彭莱相对挠率定理的推广
短句来源
     A NEW PROOF OF THE FUNDAMENTAL THEOREM OF ALGEBRA
     代数基本定理的一个新证明
短句来源
更多       
  原理
     APPLICATION OF NOETHER'S THEOREM IN CHEMISTRY(Ⅰ)——The Conservation of Pointy
     Noether原理在化学中的应用(Ⅰ)——点称守恒(英文)
短句来源
     THE APPLICATION OF NOETHER'S THEOREM IN CHEMISTRY(Ⅱ)
     Noether原理在化学中的应用(Ⅱ) 反应反演与空间称(英文)
短句来源
     The Weak Maximum Principle and Uniqueness Theorem for the Generalized Solutions of Uniformly Parabolic Equations
     一致抛物型方程广义解的弱最大值原理和唯一性定理
短句来源
     BASIC PRINCIPLES OF MECHANICAL THEOREM PROVING IN ELEMENTARY GEOMETRIES
     初等几何定理机器证明的基本原理(英文)
短句来源
     On Equivalents of the Reciprocal Theorem to Superposition Principles
     关于功的互等定理与叠加原理的等价性
短句来源
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  定理(
     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)
短句来源
     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)
短句来源
     Browder's Theorem and Weyl's Theorem
     Browder定理和Weyl定理(英文)
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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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    The present paper originates from an attempt to illustrate the usefulness of various ordered rings of n-dimensional rela vectors in representing abstract ordered rings. (The former rings were briefly discussed for the case n=2 in a previous noteIn an ordered abelian group G (with the group operation denoted by +), let a~b denote: "there exist positive integers h, k such that h|a|≥|b| and k|b|≥|a|."Let a<

    The present paper originates from an attempt to illustrate the usefulness of various ordered rings of n-dimensional rela vectors in representing abstract ordered rings. (The former rings were briefly discussed for the case n=2 in a previous noteIn an ordered abelian group G (with the group operation denoted by +), let a~b denote: "there exist positive integers h, k such that h|a|≥|b| and k|b|≥|a|."Let a<theorem Ⅱ) embeddable in an ordered ring of all n-dimensional real vectors? If this question has affirmative answer, then we will have a better represention theorem than theorem Ⅱ.

    在另一文中,我们讨论了由全体2维實向量所成的有序环,在该文最後並说當维数n>2时(n为有限)也可类似地作初步讨论.为了显示这种向量环的用途,我们考虑用向量环来表现一般有序环的问题.在本文中我们证明:任一“n级的”(见以下定义)有序环都能与一个由若干n维實向量所组成的有序环同构.(主要在於证出关於n级有序加羣的类似结果.)我们希望有较好的结果,即:任一n级有序环都能与由全体n维實向量所成的一个有序环的一个子环同构,但未能证明或否定.

    Since the year 1886, the Dupuit-Forchheimer theory and formulas for gravityflows toward wells and galleries have been broadly used in all nations of theworld. In these formulas, assumptions are made for underground flows fromfarther distances in horizontal directions at a constant rate toward wells andgalleries. According to the author's analysis, these assumptions are not consistentwith the actual conditions of flow, hence the formulas obtained therefrom are notrational, and the employment of these formulas...

    Since the year 1886, the Dupuit-Forchheimer theory and formulas for gravityflows toward wells and galleries have been broadly used in all nations of theworld. In these formulas, assumptions are made for underground flows fromfarther distances in horizontal directions at a constant rate toward wells andgalleries. According to the author's analysis, these assumptions are not consistentwith the actual conditions of flow, hence the formulas obtained therefrom are notrational, and the employment of these formulas to investigate the general effectof surface drop or well diametre upon yield is devoid of rational foundations. According to the author's analysis, the flows toward wells or galleries areactually supplied vertically by draining the stored water above the free surface inthe course of its descending and enlarging. As the drainage of gravity water fromthe pores of soil particles in order to reduce the water content to that of filmshells takes one to two days, as the capillary water columns are interconnectedand mutually supplied sidewise, this vertical supply of water may maintain quite along time, yet the flow may not be absolutely steady. As regards vertical supply of water with unsteady regimen, equations of freesurface for flow pattern near galleries are deduced, corresponding to the Boussinesqpartial differential equation. Besides, the author has derived simplified equationsfor computing flows into wells and galleries. The latter, in comparison with theDupuit-Forchheimer formulas, gives a higher yield, while the free surface curve isreasonably tangent to the horizontal water table at a point which moves fartheraway as time goes on. J. Kozeny first pointed out the phenomenon that the water depth in the groundon the wall will not be further lowered when it reaches one half of the depthbefore pumping. The author hereby proposes a theoretical proof of it on the basisof theorem of least work. Based upon these theories, formulas are proposed for maximum possible yieldof wells and galleries dug to horizontal impervious strata, to be used in prelimi-nary estimations for hydro-geological workers.

    1886年以来,杜布义-福熙罕默(Dupuit-Forchheimer)的井流及沟流的理论与计算用公式被世界各国广泛地应用着。公式假设地下水从远处沿着水平方向以定率流向井内或沟内,按作者分析这种假设并不符合实际情况,因之所得公式也不合理,用这些公式来推论水位降落或井径对於出水率的影响也没有合理的凭据。作者推论,井流或沟流的水实际上是从水面线以上,在其降落并扩大的过程中,排除了存积的水,沿着直垂方向所供应着的。因为从土壤颗粒的空隙间排除重力水,使减为薄膜水,每需时一两天,而水面上的毛细管水又是横向贯通并互相接济着,所以垂直供水可以维持很久,而潜流也决不会绝对稳定。根据这垂直供水的不定汉条件引出了沟流的水面线公式,结果符合蒲薪奈斯克的偏微分方程式。另外,作者又拟具了简化的井流及沟流计算用公式。这些公式和杜氏-福氏公式比较,所得出水率较大,而水面线则合理地切於静水线,切点随着时程向远处移动。柯臣尼(J.Kozeny)最早指出井边地内水深不会低於静水深一半的现象,本文中作者根据最小工作定律试拟了理论的证明以支持之。根据这些理论,引出了从静水中抽水时井流、沟流最大可能出水率的公式,以供水文地质工作者初步估算之用。

    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。

     
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