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resolvent     
相关语句
  预解式
     It was introduced the concepts of resolvent operator associated with(H,η)-monotone operators.
     在H ilbert空间中引进(H,η)-单调算子的概念,以及与此相关的预解式算子RH,ηM,λ.
短句来源
     On the Resolvent of the Two-parameter Semigroup (1)
     关于双参数半群的预解式(1)(英文)
短句来源
     On the Resolvent of the Two-parameter Semigroup (2)
     关于双参数半群的预解式(2)(英文)
短句来源
     The last depart we have given the proof of Ito synthesis theory and structured resolvent of one set Markov chains ,so we gained excurtion which is satisfied finited condition,make excurtion of Markov chains {X_t}_(t≥0) opposited to state 0 exactly is
     第三部分我们给出了Ito复合定理的证明并构造了一类Markobv链的预解式,从而得到了满足给定有限性条件的游程系(?) _(ij)(t),π_*(dx),q01,q02,…,使得Markov链{X_t}t≥0。
短句来源
     In 1983, Pazy in [1] pointed out. " that so far there are no known necessary and sufficient conditions in term of A or the resolvent R(λ, 4), which assure the continuity for t > 0 of T(t) in the uniform operator topology."
     1983年,Pazy在文[1]中指出“到目前还没有已知的通过算子A或A的预解式R(λ,A)表达的充要条件保证T(t)当t>0时按一只算子拓扑连续”。
短句来源
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  解决方法
     Finally is the debugging process and testing result, listing the problem and the resolvent about designing.
     最后详细讨论了射频收发信机的调试过程,并给出了测试结果,以及设计、调试过程中所遇到的问题和解决方法
短句来源
     2. The recognition and resolvent of conflicts.
     2.冲突识别与解决方法
短句来源
     The Quality Problems in Road Construction and Its Resolvent
     浅谈道路施工的质量问题及解决方法
短句来源
     Leakage Analysis of FRP Products and its Resolvent
     FRP制品渗漏问题分析及解决方法
短句来源
     This paper mainly introduces the system structure,implementing scheme and the resolvent to the technological problems of the Wireless Distance Education Management System,and puts forward three resolvent schemes to the video quality control.
     文章主要介绍了无线远程教学管理系统的主要框架结构,实现方案,以及主要技术问题的解决方法,并针对视频质量控制提出了三种解决方案。
短句来源
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  预解
     For every complex number λ,|λ|>‖A‖, the representation of the resolvent operator (λI-A) -1 is given in the end.
     从而对复数λ ,|λ| >‖A‖ ,给出预解算子 (λI -A) - 1 的表达式
短句来源
     Finding Resolvent of Square Matrix by Cayley-Hamilton Theorem Directlly
     用Cayley-Hamilton定理直接求方阵的预解矩阵
短句来源
     The author proves that if A generates an exponentially bounded k-regularized resolvent operator family, then BA, AB or A(I+B), (I+B)A also generate an exponentially bounded k-regularized resolvent operator family.
     作者证明如果A生成一个指数有界的k-正则预解算子族,那么BA,AB或A(I+B),(I+B)A也生成一个指数有界的k-正则预解算子族.
短句来源
     Let k∈C(R +), A be a closed linear densely defined operator in the Banach space X and {R(t)} t≥0 be an exponentially bounded k-regularized resolvent operator family generated by A.
     设 k∈ C( R+ ) ,A是 Banach空间 X中的闭稠定线性算子 ,且 A生成一个指数有界的 k -正则预解算子族 R( t) .
短句来源
     [1], this problem was studied further, and corresponding results were stated in style of the resolvent operator Ψ(λ) corresponding to Q process-P(t).
     文献 [1]对此课题作了深入研究 ,其结果是以Q过程P(t)所对应的预解算子Ψ(λ)表述的 .
短句来源
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  归结式
     Based on these work, discussed a - resolution principle of lattice-valued modal propositional logic system LMP(X), gave out the rules of computing a - direct resolvent and a - self resolvent, and proposed detailed resolution method.
     在此基础上,进一步研究了基于格值模态命题逻辑系统LMP(X)的α-归结原理,给出了计算α-直接归结式和α-自归结式的规则,并总结出具体的归结方法。
短句来源
     Furthermore, studied (a,t)-resolution principle which is related to time, gave some rules of computing tense resolvent, and put forward the method of tense resolution.
     此外,研究了与时间有关的(α,t)-归结原理,给出了计算时态归结式的规则,并提出了时态归结的具体方法。
短句来源
     resolution either one of parents is a positive unit which is false in I or a parent is a positive unit and the remaining clauses from another parent and the resolvent by deleting their positive literals are both false in I, where I is any interpretation of S.
     或者一个祖先子句是正单元,而且从另一个祖先子句和这个归结式中删去他们的正义字后剩下的子句在 I上都是假的.其中 I是 S的任何一个解释。
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  resolvent
Resolvent Estimates Related with a Class of?Dispersive?Equations
      
We present a simple proof of the resolvent estimates of elliptic Fourier multipliers on the Euclidean space, and apply them to the analysis of time-global and spatially-local smoothing estimates of a class of dispersive equations.
      
Hubert's equation for the resolvent and the maximum principle for the equation Δu + V(x)u=0 is used to construct a self-adjoint extension of the operator Δ + V(x) with a positive singular potential V(x).
      
The complete projective resolvent of the ring Λ is constructed.
      
A formula for the generalized resolvent of an isometric operator for the exterior of the unit disk
      
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A new representation of (real and virtual) localized modes in the solid state problems is formulated by considering P(z), the modified resolvent operator. It has singularities on the real axis of the z plane only. The isolated poles correspond to real localized modes. When P(E+iη) is analytically continuated onto the second Riemann surface (η > 0), its complex poles correspond to virtual (or unstable) localized modes. The real part of the complex pole is the energy of an unstable localized mode, and the...

A new representation of (real and virtual) localized modes in the solid state problems is formulated by considering P(z), the modified resolvent operator. It has singularities on the real axis of the z plane only. The isolated poles correspond to real localized modes. When P(E+iη) is analytically continuated onto the second Riemann surface (η > 0), its complex poles correspond to virtual (or unstable) localized modes. The real part of the complex pole is the energy of an unstable localized mode, and the reciprocal of the imaginary part is its life-time. Naturally the life-time is positive. The energy and life-time derived in this way are in accordance with the energy and width of the corresponding resonance scattering. The relation between real and virtual localized modes is discussed. Finally, the singularities of P(z) are related with the change in density of state. The differences between solutions with positive life-times and that with negative life-times are further explained. It is pointed out that, in general, only solutions with positive life-times can change into localized modes when the interaction strength increases, while for solutions with a negative life-time this does not happen.

本文给出了一种新的表述局域模(实的及虚的)的方法。我们引入了变形豫解式的迹P(z).它仅在z平面的实轴上有奇异性,孤立极点对应于实局域模。将P(E+iη)向下解析延拓至第二黎曼面,则其复极点对应于虚的(或不稳定的)局域模。复极点的实部是不稳定局域模的能量,虚部是它寿命的倒数,自然地得到了寿命为正的限制。此能量与寿命符合于相应共振散射的能量与宽度。本文还讨论了实局域模与虚局域模之间的关系。最后,比较了P(z)的奇异性与态密度的变化,并进一步阐明了寿命为正的及负的解之间的差别。指出,一般说来,只有寿命为正的解当作用强度增加时会变成实的局域模,负寿命的解是不会的。

A quantum theory for pulse-train from the mode-looked laser has been developed. In the theory the author uses "coherent superposition" model, i. e. the atomic states are coherent after absorbed photons from different modes of a mode-locked laser. So the final atomic state should be coherently added. The resolvent operator and projector operation are used to derive the operator U. Considering the phase relationship between the modes, the light field are described by multi-mode coherent state. This method...

A quantum theory for pulse-train from the mode-looked laser has been developed. In the theory the author uses "coherent superposition" model, i. e. the atomic states are coherent after absorbed photons from different modes of a mode-locked laser. So the final atomic state should be coherently added. The resolvent operator and projector operation are used to derive the operator U. Considering the phase relationship between the modes, the light field are described by multi-mode coherent state. This method can be used to describe the resonant multi-photon processes that the pulse train from the mode locked laser interacting with atoms.

本文发展了一种描述锁模激光脉冲序列输出的全量子理论.采用“相干叠加”模型,即认为从多模相干态光场不同模吸收光子后的原子态是相干的,耦合形成相干组合态.考虑锁模激光各模式间相位关系.用多模相干态描述光场,应用预解算符和投影算符推导演化算符,使本方法可统一处理锁模激光脉冲序列输出及原子的共振多光子过程.

Antenna array pattern null-steering is one of the important current topics in array synthesis theory, because it is very effective in suppressing interfering signals. Thus the problem of forming nulls in the radiational pattern of three-dimentional arrays is discussed. This paper discusses the following aspects of the said arrays: The essential relations of forming multi-nulls are analysed by the method of vector space; The method of forming multi-null regions is presertted by the concept of null region in terms...

Antenna array pattern null-steering is one of the important current topics in array synthesis theory, because it is very effective in suppressing interfering signals. Thus the problem of forming nulls in the radiational pattern of three-dimentional arrays is discussed. This paper discusses the following aspects of the said arrays: The essential relations of forming multi-nulls are analysed by the method of vector space; The method of forming multi-null regions is presertted by the concept of null region in terms of the extended property of null itself the beam-resolvent formulation of radiational pattern of multi-null steering is derived; numerical results are included and discussed. The beam-resolvent formulation is analogous to the one of adaptive arrays.

天线阵辐射图型强制零点控制,由于对定向干扰抑制的有效性,已成为天线阵辐射图型综合理论中心课题之一。本文围绕着这个课题,对三维天线阵辐射圈的零点控制进行了研究,它包括:用矢量空间方法,分析了多重零点控制的基本关系;根据零点本身的扩展性,引入了零域的概念,提出了多重强制零域的生成方法;导出了多重零点控制辐射图型的分解公式;揭示了由主波束和多个零点强制波束合成多重强制零点辐射图型的基本规律;给出了数值结果并进行了讨论;把这一分解原理与自适应成零天线阵辐射图型进行了类比。

 
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