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This basis is de ned as being dual to the standard intertwining operators. He remarked (p.402) that it was an unsolved and apparently dicult problem to compute this basis explicitly. For his appli...
The conventionally used Modified Self-consistent Field Theory (MSCFT) for confined system is known to have two major difficulties: numerical instability and too many artificial constrains. Here we pro...
Morse Decomposition for Dynamical Systems on compact metric spaces : φ : R × X → X, initiated by Morse, was established by Morse, Smale, ect by using the gradient–like flows for Morse decomposition...
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level factors.
Based on the hierarchical ordering principle of factorial effects in experimental design, we propose an aliased effect-number pattern (AENP) as a criterion to judge a two-level regular design; such ...
In this paper, a new method of modified second order slope rotatable designs (SOSRD) using balanced incomplete block designs (BIBD) for 4≤v≤16 is presented. In this method the number of design point...
We introduce sequential testing procedures for the planning and analysis of reliability studies to assess an exposure’s measurement error. The designs allow repeated evaluation of reliability of the...
Joint analysis of longitudinal measurements and survival data has received much attention in recent years. However, previous work has primarily focused on a single failure type for the event time. In...
借鉴自然界群居生物的搜索行为模式, 提出一种群体区域搜索算法. 该算法在优化过程中逐步收缩个体搜索半径并进行适度随机调整, 引入巡游追随机制, 以一种简单而自然的方式有效地实现了算法广域探索能力与局部开发能力之间的平衡. 算法结构简单、易实现, 易与其他算法相结合. 通过6 个典型测试函数的实验结果表明, 该算法全局优化能力强、收敛精度高、稳定性好、总体性能优, 适用于复杂函数优化问题的处理.
At CRYPTO 2008 Stam [8] conjectured that if an (m+s)- bit to s-bit compression function F makes r calls to a primitive f of n-bit input, then a collision for F can be obtained (with high probability) ...
The aim of the electron microscopy image classification is to categorize the projection images into different classes according to their similarities. Distinguishing images usually requires that the...
Green and Ruzsa recently proved that for any $s\ge2$, any small squaring set $A$ in a (multiplicative) abelian group, i.e. $|A\cdot A|
For a given odd prime p, we define a certain p-stabilization of the Siegel Eisenstein series of arbitrary genus so that the resulting eigenvalue of a generalized Atkin operator at p is a p-adic unit (...
In this paper we bring into attention an old subject in number theory. Fermat showed that a prime can be written as a sum of two squares if and only if it is a multiple of four plus one and the decomp...
Define $\psi_m$ to be the smallest strong pseudoprime to the first $m$ prime bases. The exact value of $\psi_m$ is known for $1\le m \le 8$. Z. Zhang have found a 19-decimal-digit number $Q_{11}=3825\...

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