搜索结果: 1-15 共查到“知识库 代数数论”相关记录26条 . 查询时间(2.553 秒)
We prove that every rigid C*-bicategory with finite -dimensional centers (finitely decomposable horizontal units) can be realized as Connes' bimodules over finite direct sums of II_1 factors. In parti...
The first extended greatest common right divisor (GCRD) algorithm for parametric univariate polynomial matrices is presented. The starting point of this GCRD algorithm is the free property of submodul...
秦厚荣教授首次发现并建立了同余数和K2群之间的联系（图）
同余数问题 数论 代数K-理论 米尔诺群
2022/7/20
同余数问题是一个有着一千多年历史的数论问题,米尔诺群（K2群）是由著名数学家米尔诺于1970年代定义的新的代数结构，是代数K-理论中的研究课题。最近秦厚荣教授在国际上首次发现同余数和米尔诺群之间有着深刻的联系，并利用二次型在二者之间搭建了一个桥梁，展示了一个崭新的研究领域，并取得了重要的成果，相关论文于顶级数学刊物《Mathematische Annalen》在线发表。
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 ...
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...
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) ...
Algebraic proofs over noncommutative formulas
Proof complexity Algebraic proof systems Frege proofs Lower bounds Polynomial calculus
2012/12/4
We study possible formulations of algebraic propositional proof systems operating with noncommutative formulas. We observe that a simple formulation gives rise to systems at least as strong as Frege, ...
An invariant in shock clustering and Burgers turbulence
Shock clustering stochastic coalescence kinetic theory Burgers turbulence integrable systems Loitsiansky invariant
2011/7/6
1-D scalar conservation laws with convex flux and Markov initial data
are now known to yield a completely integrable Hamiltonian system. In
this article, we rederive the analogue of Loitsiansky’s in...
Max-plus analysis on some binary particle systems
Max-plus analysis binary particle systems
2010/12/28
We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors.
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbation
Dirichlet heat kernel fractional Laplacian gradient perturbation
2010/11/19
Suppose $d\geq 2$ and $\alpha \in (1, 2)$. Let $D$ be a bounded $C^{1,1}$ open set in $R^d$ and $b$ an $R^d$-valued function on $R^d$ whose components are in a certain Kato class of the rotationally ...
We study the dependence of graded Betti numbers of monomial ideals on the characteristic of the
base field. The examples we describe include bipartite ideals, Stanley–Reisner ideals of vertex-decompo...
Mathematical Structures Defined by Identities II
Mathematical Structures Defined Identities II
2010/11/30
In our paper arXiv: math.RA/0110333 v1 Oct 2001 we showed that the number of algebras defined by a binary operation satisfying a formally irreducible identity between two n-iterates is O
e−n/16...
特殊n-Coherent函子的性质
可表示 n-Coherent函子 余核 核
2009/11/20
定义了n-Coherent函子, 并研究了特殊的n-Coherent函子间的余核和核，并给出了一些性质。