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定理     
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  theorem
    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
    Applications of Weil's Theorem in Combinatorial Designs
    Weil定理在组合设计中的应用
短句来源
    A THEOREM CONCERNING AN ASYMPTOTIC INTEGRATION
    关于渐近积分的一个定理
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    A THEOREM ON THE DENSITY OF SETS OF GAUSSIAN INTEGERS
    高氏整数集密度的一个定理
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  theorems
    Some Precise Limit Theorems of Random Variables
    随机序列的一些精确强极限定理
短句来源
    Positive Solutions for Nonlinear Boundary Value Problems and Random Fixed Points Theorems
    非线性边值问题的正解及随机不动点定理
短句来源
    Limit Theorems for Dependent Sequences of Random Variables
    相依随机变量序列的极限定理
短句来源
    Strong Limit Theorems for Some Dependent Random Variables
    几类相依随机变量的强极限定理
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    DISTORSION THEOREMS AND COEFFICIENTS OF SCHLICHT FUNCTIONS
    单叶函数之偏差定理及系数
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  theorm
    AN EXISTENCE THEORM FOR WEAK SOLUTION OF DIFFERENTIAL EQUATION IN BANACH SPACE
    BANACH空间微分方程一个弱解存在定理
短句来源
    AUXILIARY FUNCTION CREATION IN LAGRANGE'S MEAN VALUE THEOREM AND CAUCHY'S MEAN VALUE THEORM PROOF
    关于Lagrange中值定理Cauchy中值定理证明辅助函数的构作
短句来源
    The Application of Generalized Residue Theorm in Calculating a Certain Kind of Generalized Integral
    广义留数定理在计算某类广义积分中的应用
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    A Scalar Theorm In Vector Optimization Problem
    向量优化问题的一个标量化定理
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    THE GENERALIZATION OF MICHAEL THEORM TO FUZZY PARACOMPACT SPACES
    Michael定理在Fuzzy仿紧空间的推广
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  theorem a
    Fermat's Last Theorem:A Proof of Abel's Conjecture
    费马大定理:Abel猜想的一个证明(英文)
短句来源
    On a Generalized Taylor Theorem: a Rational Proof of the Validity of the So-Called Homotopy Analysis Method
    广义泰勒定理:“同伦分析方法”之有效性的一个数理逻辑证明
短句来源
    Differential Mean Value Theorem:A New Approach
    再证微分中值定理
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    (2) = The author discusses the above conjecture and proves the following Theorem A and Theorem B in Section 2 and Section 3:Theorem A Let G be a group and M(q) a Lie type simple group 2Dn(q), n 4 or Dt(q),l 5, l odd.
    作者在第二,三节对上述猜想进行讨论,得到下面的定理A,定理B: 定理A 设G为有限群,M(q)为Lie型单群~2D_n(q),n≥4或D_l(g),其中l为奇数,l≥5.则G(?)
短句来源
    Our results can be included in the following:Theorem A1.1 The first nontrivial Fu ik spectrum curve C in p exists, moreover C is continuous and strictly decreasing.
    定理A1.1 方程(A1.2)的第一条非平凡Puik谱曲线c存在,并且c是连续的、严格递减的。
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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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      theorems
    Along the way, we recover theorems of Steinberg [17] and E.
          
    Strong multiplicity one theorems for affine Hecke algebras of type A
          
    As the first application, we present the first and second fundamental theorems for ${\rm SO}_n(K)$-actions.
          
    The Hausdorff-Young Theorems of Fourier Analysis and Their Impact
          
    This paper is devoted to a study of the Hausdorff-Young theorems from a historical perspective, beginning with the F.
          
    更多          
      theorm
    The existence conditions and orbits' nature of modes are given by using the geometry theory of invariant manifolds that include stable manifold theorem, center maifold theorm and sub-center manifold theorem.
          
    Formulas about the stability of bifurcating periodic solution and the direction of Hopf bifurcation were exhibited by applying the normal form theory and the center manifold theorm.
          
    The well known sampling theorm (7 § 1) is obtained simply by application of a Parseval equality, under the assumption that the Fourier transformF(ω) off(t) is zero ontside a finite interval and is bounded and integrable.
          
    The basic theorm of (linear) complementarity was stated in a 1971 paper [6] by B.C.
          
    There is a suggestion that present day wide polymorphism at theORM1 locus may be influenced by selection.
          
    更多          
      theorem a
    In the present note a theorem about strong suitability of the space of algebraic polynomials of degree ≤n in C[a,b] (Theorem A in [1]) is generalized to the space of spline polynomials ?[a, b]n, k (n?2, κ?0) in C[a, b].
          
    In [1], a basic theorem (Theorem A below) concerning the weak consistency of is established.
          
    The main results are as follows:Theorem A.If p≥7, then
          
    A 21, 11 (2004)) we revisit the contribution of the Σ(1750) resonance, which does not saturate the low-energy theorem a00 +3a10 = 0, and replace it by the baryon background with properties of an SU(3) octet.
          
    According to Harnak theorem a number of connected components of satisfies by the inequality , where g is the genus of Y.
          
    更多          


    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。

    ~~

    本文的中心目的有二:第一找曲面是代数曲面的必要兼充分条件,第二建立整式的各次因式种类的决定法以及整式可分解的条件.在§1作者建立了直线和曲面的交点重复度交比积及交比积函数的概念.在§2找出了代数曲面的交比积公式,此式,在§3定理三的证明中将要引用,实际上§2可看成定理三的引理.§3是本文的中心之一,在这一节中作者证明了两个定理:前一个定理指出代数曲面和任一定向多边形的交比积恒等于1;后一个定理指出和任一定向多边形的交比积恒等于1的曲面必是代数曲面.§4是本文中心之二,在这一节中作者建立了整式的因式判別式概念,一方面说明这些判別式经过四则运算有限多次可以求得,另一方面证明了 l 次因式判别式恒等于零是 l 次因式存在的必要兼充分条件.于是在理论上解决了各次因式存在与不存在以及整式是否质整式的判定方法问题,无须进行因式分解。此节是上节定理的应用.在§5作者算出二次整式的判别式,获得了二次整式可分解的必要兼充分条件,并且说明了所得条件等价于代数学中已知的结果。

     
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