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空间分数阶扩散方程的多项式点插值配置法
空间分数阶微分方程 多项式基 配置法 Riemann-Liouville分数阶导数 形函数
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2022/3/30
Generalized word type pattern for nonregular factorial designs with multiple groups of factors
type pattern Generalized word
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2015/3/18
Consideran(sr )sn factorialdesignD= [D0,DT]inst runs,involvingone
sr -levelfactor (r≥2),groupedbytheLrs-levelfactors,andns-level
factors.
MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD
Response surface designs modified slope rotatable central composite designs
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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...
Optimal expansions in non-integer bases
non-integer bases math
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2010/11/24
For a given positive integer $m$, let $A=\set{0,1,\ldots,m}$ and $q \in (m,m+1)$. A sequence $(c_i)=c_1c_2 \ldots$ consisting of elements in $A$ is called an expansion of $x$ if $\sum_{i=1}^{\infty} c...
The homotopy limit problem and (etale) hermitian K-theory
The homotopy limit problem hermitian K-theory
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2010/11/24
Let X be a noetherian separated scheme with 2 invertible in the ring of regular functions. Assume further that $X$ has finite Krull dimension and there is a global bound on the virtual 2 cohomological...
Treatment of Incompatible Initial and Boundary Data for Parabolic Equations in Higher Dimension
Incompatible Initial Boundary Data
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2010/11/24
A new method is proposed to improve the numeri- cal simulation of time dependent problems when the initial and boundary data are not compatible. Unlike earlier methods limited to space dimension one,...
Higher-order Fourier analysis of $\mathbb{F}_p^n$ and the complexity of systems of linear forms
Higher-order Fourier analysis linear forms
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2010/11/24
Consider a subset $A$ of $\mathbb{F}_p^n$ and a decomposition of its indicator function as the sum of two bounded functions $1_A=f_1+f_2$. For every family of linear forms, we find the smallest degre...
In this paper, it is shown that if F(x , y) is an irreducible binary form with integral coefficients and degree $n \geq 3$, then provided that the absolute value of the discriminant of F is large enou...
Let $\chi$ be a non-principal Dirichlet character modulo a prime $p$. Let $q_1
Elliptic systems with measurable coefficients of the type of Lamé system in three dimensions
Elliptic systems measurable coefficients
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2010/11/22
We study the $3 \times 3$ elliptic systems $\nabla (a(x) \nabla\times u)-\nabla (b(x) \nabla \cdot u)=f$, where the coefficients $a(x)$ and $b(x)$ are positive scalar functions that are measurable an...
Given a graded sequence of ideals (a_m) on a smooth variety X, suppose that for every m we have a divisor E_m over X that computes the log canonical threshold of a_m, and such that the log discrepanc...
Enumeration of snakes and cycle-alternating permutations
snakes cycle-alternating permutations
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2010/11/9
Springer numbers are an analog of Euler numbers for the group of signed permutations. Arnol'd showed that they count some objects called snakes, that generalize alternating permutations. Hoffman estab...
Hardy inequality and heat semigroup estimates for Riemannian manifolds with singular data
semigroup Riemannian manifolds singular data
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2010/11/12
Upper bounds are obtained for the heat content of an open set D in a geodesically complete Riemannian manifold M with Dirichlet boundary condition on bd(D), and non-negative initial condition. We sho...
Pfaffian Stochastic Dynamics of Strict Partitions
Pfaffian Stochastic Dynamics Strict Partitions
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2010/11/19
We study a family of continuous-time Markov jump processes on strict partitions (partitions with distinct nonzero parts) preserving the distributions introduced by Borodin (1997) in connection with p...