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81.
Mei-Feng Dai Ting-Ting Ju Yong-Bo Hou Fang Huang Dong-Lei Tang Wei-Yi Su 《理论物理通讯》2020,72(5):55602-112
The weighted self-similar network is introduced in an iterative way. In order to understand the topological properties of the self-similar network, we have done a lot of research in this field.Firstly, according to the symmetry feature of the self-similar network, we deduce the recursive relationship of its eigenvalues at two successive generations of the transition-weighted matrix.Then, we obtain eigenvalues of the Laplacian matrix from these two successive generations.Finally, we calculate an accurate expression for the eigentime identity and Kirchhoff index from the spectrum of the Laplacian matrix. 相似文献
82.
Xiang-Guo Meng Kai-Cai Li Ji-Suo Wang Zhen-Shan Yang Xiao-Yan Zhang Zhen-Tao Zhang Bao-Long Liang 《Frontiers of Physics》2020,15(5):52501
Using an operator ordering method for some commutative superposition operators, we introduce two new multi-variable special polynomials and their generating functions, and present some new operator identities and integral formulas involving the two special polynomials. Instead of calculating complicated partial differential, we use the special polynomials and their generating functions to concisely address the normalization, photocount distributions and Wigner distributions of several quantum states that can be realized physically, the results of which provide real convenience for further investigating the properties and applications of these states. 相似文献
83.
84.
Based on fractional isospectral problems and general bilinear forms, the gener-alized fractional trace identity is presented. Then, a new explicit Lie algebra is introduced for which the new fractional integrable couplings of a fractional soliton hierarchy are derived from a fractional zero-curvature equation. Finally, we obtain the fractional Hamiltonian structures of the fractional integrable couplings of the soliton hierarchy. 相似文献
85.
86.
关于正、余弦函数的一组恒等式 总被引:5,自引:0,他引:5
:利用第二类契贝谢夫多项式的性质得到了关于正余弦函数的一组有趣的恒等式 . 相似文献
87.
Alexey Sergeevich Gordienko 《代数通讯》2018,46(7):3014-3032
We show that if A is a finite-dimensional associative H-module algebra for an arbitrary Hopf algebra H, then the proof of the analog of Amitsur’s conjecture for H-codimensions of A can be reduced to the case when A is H-simple. (Here we do not require that the Jacobson radical of A is an H-submodule.) As an application, we prove that if A is a finite-dimensional associative H-module algebra where H is a Hopf algebra H over a field of characteristic 0 such that H is constructed by an iterated Ore extension of a finite-dimensional semisimple Hopf algebra by skew-primitive elements (e.g., H is a Taft algebra), then there exists integer PIexpH(A). In order to prove this, we study the structure of algebras simple with respect to an action of an Ore extension. 相似文献
88.
复合二项风险模型的破产概率 总被引:21,自引:2,他引:19
本文讨论了一般情形的复合二项风险模型,得出了初始资本为0时的破产概率以及初始资本为u≥0的情况下的破产概率的一般公式. 相似文献
89.
该文研究满足置换恒等式的wrpp半群.证明了wrpp半群满足置换恒等式当且仅当它满足恒等式xyzw=xzyw.特别地,建立了一个wrpp半群满足置换恒等式的弱织积结构. 相似文献
90.
An efficient deterministic secure quantum communication scheme based on cluster states and identity authentication 下载免费PDF全文
A novel efficient deterministic secure quantum communication scheme
based on four-qubit cluster states and single-photon identity
authentication is proposed. In this scheme, the two authenticated
users can transmit two bits of classical information per cluster
state, and its efficiency of the quantum communication is 1/3, which
is approximately 1.67 times that of the previous protocol presented
by Wang et al [Chin. Phys. Lett. 23 (2006) 2658].
Security analysis shows the present scheme is secure against
intercept-resend attack and the impersonator's attack. Furthermore,
it is more economic with present-day techniques and easily processed
by a one-way quantum computer. 相似文献