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a nondegenerate
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  非退化
     Suppose that (λ0,u0) is a nondegenerate turning point of the Navier-Stokes equations.
     设(λ0,u0)是Navier-Stokes方程的非退化转向点,其中λ0=1/Re0。 Re0为雷诺数.
短句来源
     (2) Let Mn(n≥2) be a nondegenerate affine hypersurfacein An+1,then K is covarant-Symmetric if and only if M is an affine hypersphere;
     (2)若Mn(n≥2)是An+1中非退化的仿射起曲面,则K共变对称当且仅当M是仿射球;
短句来源
     With the method of Moving Frames this paper has proved: If Mn (n ≥2) is a nondegenerate affine hypersurface in An+1, (1) Suppose ■K = 0 (The difference tensor K is parallel), then M is an affine hypersphere with J = 0 and G is an Einstein's affine metric, Here J is Pick invariant of M and G is the Blaschke metric.
     本文用活动标架法证明了:若 Mn(n≥2)是 n+1维仿射空间 An+1中非退化的仿射超曲面,(1)若■K=0(即差异张量平行),则M是仿射球,且J=0和G是一个Einstein度量,这里J是M的 Pick不变量,G是Blaschke度量;
短句来源
     Using the mathod of Moving Frames,this paper has proved the following theorems: (1)Let Mn (u≥2) be a nondegenerate affine hypersurface in the affine spare An+1, then 2S is covariant-Symmetric (orR. S=0) if and only if M is an affine hypersphere;
     用活动标架法从不同方面证明并推广了文[2]的结果:(1)若Mn(n≥2)是n+1维仿射空间An+1中非退化的仿射超曲面,则2S共变对称(或R·S=0),当且仅当M是仿射球;
短句来源
     (c) A generates a nondegenerate fc-times integrated C-semigroup.
     (c)A生成一非退化的k一次积分C-半群.
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  “a nondegenerate”译为未确定词的双语例句
     Velocity-selective coherent population trapping of a nondegenerate Λ three_level atom
     非简并Λ型三能级原子的速度选择相干布居俘获
短句来源
     In this case, the fc-times integrated C-semigroup is given byW(t) = Sk(t)C,where Sk(t) is defined as in Definition 1.3.4.Finally, when A generates a nondegenerate k-times integrated C-semigroup, we may useit to characterize Zk+1 and Zn(n N).
     此时,所求的k一次积分C-半群由下式给出:W(亡)三乓(t)c,其中凡(t)的意义见定义1.3.4. 最后,如果A生成一今次积分C-半群,我们可以用它描述几+;
短句来源
     By a theoretical model consisting of SSH ( Su-Schrieffer-Heeger ) Hamiltonian and a Hubbard term,the result exhibits that as the electron-phonon coupling A increases,there is a structure phase transition from a nondegenerate symmetric phase to a twofold degenerate symmetry-breaking phase.
     在SSH模型基础上,考虑Hubbard库仑排斥作用U,结果表明随着电声耦合常数λ增加到一个临界值λ_c,系统存在一个从非简并对称相到二重简并的对称破缺相的结构相变。
短句来源
     On the basis of this theorem, it is fuvther proved that if the system possessina space inversion invariance, in a nondegenerate case the energy eigenstate possesses a definite parity, in a degenerate case they may not possess a definite parity, but some linear combination of such eigenfunc-tion can be found, so that it has a definite even or odd parity.
     其次,在这个定理的基础上,进一步证明了:具有空间反演不变性的体系,在非简并情况下,其能量本征态具有确定的宇称,在简并情况下,其能量本征态,并不一定具有确定的宇称,但可以找到这类本征函数的一些线性组合,使其具有确定的偶宇称或奇宇称。
短句来源
     Let {ξ_n} be a stationary sequence of random variables and ξ_1~((n))≤…≤ξ_(n)~((n))be the order statistics of{ξ_(k_n)~(n)).Let {k_n} be a random central rank sequence,i,e.{K_n} be a sequence of integer-valued random variables such that 1≤K_n≤n and A_s=K_n/n■λ, for some λ∈(0,1).In this paper,the conditions for the normalized sequence{{[ξ_(k_n)~(n)]-b_n}/a_n} to converge weakly to a nondegenerate distrbution function are considered,The related result of Smirnov and Cheng is extended to the random central rank case.
     设{ξ_n}是平稳序列,ξ_1~((n))≤…≤ξ_(n)~((n))是ξ_1,…,ξ_(n)的顺序统计量。 本文在适当条件下确定了标准化后的{ξ_(k_n)~(n))的极限分市,其中的{k_n}是中心秩序列,即对某λ∈(0,1),满足λ_n=k_n/n→λ。进一步,设{K_n}是随机中心秩序列,即{K_n)是整值随机变量序列,1≤K_n≤n,且对某λ∈(0,1),满足A_s=K_n/n■λ,本文也讨论了{ξ_(k_n)~(n)}的有关问题。
短句来源
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  相似匹配句对
     A.
     和A.
短句来源
     A.
     化合物A_1-A_9 化合物B_1-B_8
短句来源
     Bifurcation from k-nondegenerate Simple Eigenvalues
     k-非退化简单固有值的分歧
短句来源
     The Nondegenerate Condition of BifurcationProblem with Corank-N
     N阶分歧问题的非退化条件
短句来源
     THEORY OF NONDEGENERATE TWO-PHOTON LASERS
     非简并双光子激光理论
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  a nondegenerate
The present paper contains a systematic study of the structure of metric Lie algebras, i.e., finite-dimensional real Lie algebras equipped with a nondegenerate invariant
      
Let K be a field of nonzero characteristic p≠2, let G be a finite p-group, and let M be a nondegenerate finite-dimensional symplectic space over K with the matching structure of a Gmodule.
      
A uniqueness theorem for automorphisms of a nondegenerate surface in a complex space
      
Test for C1-smooth linearization of an autonomous system in a neighborhood of a nondegenerate singular point
      
A nondegenerate null-pair of the real projective space consists of a point and of a hyperplane nonincident to this point.
      
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This paper discusses quite thoroughly the parity conservation problems of a physical system.A theorem is given and it is proved that the necessary and sufficient condition that the wave function (x,t) of describing the system state after the space inversion transformation will still be a possible state of the system is that Hamiltonilan remain unchanged by the space inversion.On the basis of this theorem, it is fuvther proved that if the system possessina space inversion invariance, in a nondegenerate...

This paper discusses quite thoroughly the parity conservation problems of a physical system.A theorem is given and it is proved that the necessary and sufficient condition that the wave function (x,t) of describing the system state after the space inversion transformation will still be a possible state of the system is that Hamiltonilan remain unchanged by the space inversion.On the basis of this theorem, it is fuvther proved that if the system possessina space inversion invariance, in a nondegenerate case the energy eigenstate possesses a definite parity, in a degenerate case they may not possess a definite parity, but some linear combination of such eigenfunc-tion can be found, so that it has a definite even or odd parity.

本文较为深入地讨论了物理系统的宇称守恒问题。特别是给出了一个定理,并作了证明:描写体系状态的波函数ψ(x,t),经过空间反演变换之后,仍是体系的可能状态,其必要和充分的条件,是哈密顿空间反演保持不变。其次,在这个定理的基础上,进一步证明了:具有空间反演不变性的体系,在非简并情况下,其能量本征态具有确定的宇称,在简并情况下,其能量本征态,并不一定具有确定的宇称,但可以找到这类本征函数的一些线性组合,使其具有确定的偶宇称或奇宇称。

By using quantum method the nondegenerated two-photon optical multistability equations applicable to arbitrary detunings with respect to the intermediate level have been deduced. We have put emphasis on the multistability characteristics of the pure absorption type, because this type has potentiality in pratical utility, umerical calculations have revealed some new features. It is pointed that the multistable characteristics of the two modes are different. This difference results from the difference between...

By using quantum method the nondegenerated two-photon optical multistability equations applicable to arbitrary detunings with respect to the intermediate level have been deduced. We have put emphasis on the multistability characteristics of the pure absorption type, because this type has potentiality in pratical utility, umerical calculations have revealed some new features. It is pointed that the multistable characteristics of the two modes are different. This difference results from the difference between the upper and lower levels. A nondegenerate two-photon multistability system can be used as multi logical elements. or such a system with small intermediate-level detuning, the operation intensity is about the same as that for the single-photon optical bistability. Therefore, it can be predicted that in the near future the nondegenerate two-photon multistability would be realized experimentally.

本文用量子的方法导出适用于任意中间偏调的非简并双光子双稳态方程.着重研究有实际意义的中间态偏调为零的纯吸收型双稳态.讨论了二模运转的不对称现象和三稳态双间隙的新现象.指出它们是由于原子能级的不对称引起的.还论证了如何利用一个模控制另一模的双稳特性.在中间态偏调小的情况下,非简并双光子多稳态运转要求的入射光强与单光子双稳运转时的一样.这就为多稳运动的实现指出一条可行的道路.

Let {ξ_n} be a stationary sequence of random variables and ξ_1~((n))≤…≤ξ_(n)~((n))be the order statistics of{ξ_(k_n)~(n)).Let {k_n} be a random central rank sequence,i,e.{K_n} be a sequence of integer-valued random variables such that 1≤K_n≤n and A_s=K_n/n■λ, for some λ∈(0,1).In this paper,the conditions for the normalized sequence{{[ξ_(k_n)~(n)]-b_n}/a_n} to converge weakly to a nondegenerate distrbution function are considered,The related result of Smirnov and Cheng is extended to the random central...

Let {ξ_n} be a stationary sequence of random variables and ξ_1~((n))≤…≤ξ_(n)~((n))be the order statistics of{ξ_(k_n)~(n)).Let {k_n} be a random central rank sequence,i,e.{K_n} be a sequence of integer-valued random variables such that 1≤K_n≤n and A_s=K_n/n■λ, for some λ∈(0,1).In this paper,the conditions for the normalized sequence{{[ξ_(k_n)~(n)]-b_n}/a_n} to converge weakly to a nondegenerate distrbution function are considered,The related result of Smirnov and Cheng is extended to the random central rank case.

设{ξ_n}是平稳序列,ξ_1~((n))≤…≤ξ_(n)~((n))是ξ_1,…,ξ_(n)的顺序统计量。本文在适当条件下确定了标准化后的{ξ_(k_n)~(n))的极限分市,其中的{k_n}是中心秩序列,即对某λ∈(0,1),满足λ_n=k_n/n→λ。进一步,设{K_n}是随机中心秩序列,即{K_n)是整值随机变量序列,1≤K_n≤n,且对某λ∈(0,1),满足A_s=K_n/n■λ,本文也讨论了{ξ_(k_n)~(n)}的有关问题。

 
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