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This
basis is dened 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...
Boundary Effects in Confined Copolymer System and Compressible SCFT Model
Compressible Model Boundary Layer Boundary Effect
2015/5/4
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...
Random Conley-Markov Connection Matrix for Gradient Flows
Gradient Flows Random Conley-Markov Connection Matrix
2015/4/3
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...
Generalized word type pattern for nonregular factorial designs with multiple groups of factors
type pattern Generalized word
2015/3/18
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone
sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level
factors.
A General Minimum Lower-Order Confounding Criterion for Two-Level Regular Designs
Clear effects criterion Estimation ability
2015/3/18
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 ...
MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD
Response surface designs modified slope rotatable central composite designs
2015/3/18
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...
Multistage Evaluation of Measure ment Error in a Reliability Study
nterim analysis Intraclass correlation
2015/3/18
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...
An approach to joint analysis of longitudinal measurements and competing risks failure time data
longitudinal measurements risks failure time data
2015/3/18
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.
Stam’s Conjecture and Threshold Phenomena in Collision Resistance
Stam’s Threshold Phenomena Collision Resistance
2012/12/4
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) ...
A Fast Classification Method for Single-Particle Projections with a Translation and Rotation Invariant
Classification Fourier transform Translationand rotation invariant Secondary-class.
2012/8/7
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...
A note on Freiman models in Heisenberg groups
Freiman models Heisenberg groups Number Theory
2012/7/11
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|
Semi-ordinary p-stabilization of the Siegel Eisenstein series of arbitrary genus
Siegel modular forms Eisenstein series p-adic analytic family
2012/7/11
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...
Strong pseudoprimes to the first 9 prime bases
Strong Pseudoprimes Chinese Remainder Theorem
2012/7/9
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\...