爯簋、酓章钟、酓章镈、公鼎“乍”新释

爯簋、遣伯盨的＂乍＂字应读为＂胙＂,其义为赏赐,与另一件爯簋的＂赐＂为同义词,酓章钟、酓章镈、公鼎的＂乍＂字也应如此解释。     

Partial standard quantum process tomography

With the general theory of standard quantum process tomography, we shall develop a scheme to decide an arbitrary matrix element of χ, which is in the Choi matrix representation, in a scalable way. Our observation is that: To decide the diagonal matrix element, one just needs a single measurement; To decide an arbitrary off-diagonal matrix element, we should carry out sixteen measurements. This result is independent of the actual dimension of the system. Compared with the known methods of partial QPT, our scheme does not require any additional resources. It can be applied for the case where a clean ancilla system is not available.     

An inexact hybrid projection-proximal point algorithm for solving generalized mixed variational inequalities

In this paper, we investigate an inexact hybrid projection-proximal method for solving a class of generalized mixed variational inequalities in Hilbert spaces. We construct a general inexact hybrid projection-proximal point algorithm, in which an inexact relaxed proximal point step is followed by a suitable orthogonal projection onto a hyperplane. Under some suitable conditions concerned with the pseudomonotone set-valued mapping T, the nonsmooth convex function f and the step size λ_k, we prove the convergence of the inexact hybrid projection-proximal point algorithm for solving generalized mixed variational inequalities in Hilbert spaces.     

Equilibria and their bifurcations in a recurrent neural network involving iterates of a transcendental function.

Some practical models contain so complicated mathematical expressions that it is hard to determine the number and distribution of all equilibria, not mentioning the qualitative properties and bifurcations of those equilibria. The three-node recurrent neural network system with two free weight parameters, originally introduced by Ruiz, Owens, and Townley in 1997, is such a system, for which the equation of equilibria involves transcendental function tanh(x) and its iterates. Not computing coordinates of its equilibria, in this paper, we display an effective technique to determine the number and distribution of its equilibria. Without full information about equilibria, our method enables to further study qualitative properties of those equilibria and discuss their saddle node, pitchfork, and Hopf bifurcations by approximating center manifolds.     

论唐寅《落花诗册》之反典而诗

唐寅在《落花诗册》中纵横使典,一气数典连用,而又不拘格俗,往往反典而用,以反典借古人景语言一己之情语,既不留行迹,又将自我多种复杂的心境展露无遗。同时,其化数家典故于一体,反典而不落陈套,手法不拘一格,表现了其极高的文学艺术修养。并且,其对于反典的偏爱,既是自我个性的张扬、不平的宣泄,也是对于"自性"的体悟和对"夺胎换骨"的继承,表现了其与禅宗之间甚深渊源。     

Antireflective coatings based on SiO<Subscript>2</Subscript> nanoparticles

Single-layer antireflective coatings, produced by sol-gel method on soda-lime glass substrates, were studied. Optimal parameters of the silica sols synthesis and coating procedure of the antireflective coatings based on SiO₂ nanoparticles on soda-lime glasses for producing composite glasses with high optical transmittance within the visible range of wavelengths were obtained.     

Highly (1 0 0)-oriented Pb(Zr0.20Ti0.80)O3/(Pb1−xLax)Ti1−x/4O3 multilayered thin films prepared by RF magnetron sputtering

The Pb(Zr_0.20Ti_0.80)O₃/(Pb_1−xLa_x)Ti_1−x/4O₃ (x = 0, 0.10, 0.15, 0.20) (PZT/PLT_x) multilayered thin films were in situ deposited on the Pt(1 1 1)/Ti/SiO₂/Si(1 0 0) substrates by RF magnetron sputtering technique with a PbO_x buffer layer. With this method, all PZT/PLT_x multilayered thin films possess highly (1 0 0) orientation. The PbO_x buffer layer leads to the (1 0 0) orientation of the multilayered thin films. The effect of the La content in PLT_x layers on the dielectric and ferroelectric properties of the PZT multilayered thin films was systematically investigated. The enhanced dielectric and ferroelectric properties are observed in the PZT/PLT_x (x = 0.15) multilayered thin films. The dielectric constant reaches maximum value of 365 at 1 KHz for x = 0.15 with a low loss tangent of 0.0301. Along with enhanced dielectric properties, the multilayered thin films also exhibit large remnant polarization value of 2P_r = 76.5 μC/cm², and low coercive field of 2E_c = 238 KV/cm.     

RC4的密钥碰撞

RC4加密算法是密码学家RonRivest在1987年设计的序列密码算法,其密钥长度可变,接受1字节至256字节。RC4在二十世纪八十年代得到了大力发展,广泛应用于商业密码产品中,包括LotusNotes,苹果计算机的AOCE和Oracle安全SQL数据库。RC4的核心部分为可变的S盒。研究了RC4的密钥编制算法,从密钥的碰撞层面研究了RC4的密钥脆弱性,描述了在S盒为256字节时,两组不同密钥KI、K2怎样经过密钥编制算法生成了相同的初始状态,即发生了“密钥碰撞”。