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here are two fundamental concepts in deter ministic dynamical systems: fixed point (equilibr ium point) and per iodic solutions. For stochastic dynamical systems, they correspond to fundamental ideas...
Outline • Stochastic wave equations on Rn. • Random attractors theory. • Random absorbing sets for wave equations. • Pullback asymptotic compactness. • Existence of ...
Due to lack of knowledge: Missing mechanisms (ignored “too small" or “too fast" or “unimportant" processes) Unresolved scales (not represented in models) Model uncertainties
The Navier-Stoke s e quations are the fundame ntal m o de l of the fluids . De spite t he ir gre at physic al im p ortance , exist ence and uniquenes s res ults for the e quations in the three -dime...
A long-standing problem concerning the iterative analysis of orthogonal saturated designs has b een resolved. Consider an unreplicated factorial design yielding indep endent, normally distributed es...
Many clinical trials compare two or more treatment groups by using a binary outcome measure. For example, the goal could be to determine whether the frequency of pain episodes is significantly reduc...
Due to run size constraints, near-orthogonal arrays (near-OAs) and sup ersaturated designs, a sp ecial case of near-OA, are considered go o d alternatives to OAs. This pap er shows (i) a combinatoria...
对于二元语义环境下的多指标群决策问题,本文采用扩展Archimedean S-模定义二元语义的新运算法则,并基于新运算法则给出对权重进行自适应调整的二元语义扩展Archimedean S-模集成(TASTA)算子、二元语义扩展Archimedean S-模加权平均(TASTWA)算子和二元语义向量扩展Archimedean S-模加权平均(V-TASTWA)算子。以及提出一种基于TASTWA算子和...
给中学生讲好微积分基本知识     中学生  微积分       2014/12/22
给中学生讲好微积分基本知识。
“数学分析”是大学数学系的一门重要的基础课,也是其他各系数学课的重要部分。此课程历史悠久。在教学改革中有一种观点认为这门课已相当成熟,不宜做大的改动。 其实,正因为这门课程老,其中陈旧的概念、落后的叙述还是很多的。科学不会过时,但落后的陈述必须改进。
任意偶数内的自然数,平均分2排,对应项的和正好是该偶数,通过这些数对的性质和规律,发现由于素数分布越来越稀,两排数中的素数个数不同,从而使两排必有对应的1对素数和为该偶数,证明素数分布越来越稀是哥德巴赫猜想成立的一个必要条件。
Fix an integer d > 0. In 2008, Chantal David and Tom Weston showed that, on average, an elliptic curve over Q picks up a nontrivial p-torsion point defined over a finite extension K of the p-adics of ...
Intellectual disability (ID) is a highly heritable mental disease. Especially, the underlying molecular mechanism of non-syndromic intellectual disability (NSID), a subtype of ID with no ...
1. This paper provided the distributive law of odd primes in the natural numbers. 2. Given a mathematical model of two opposite directional sequences of natural numbers: ︳Omin ,…,…,…,Omax ︳ ︳Omax ,…, ...
In this article, we first give the representation of solutions for the oblique derivative boundary value problem of generalized Lavrent 0 ev-Bitsadze equations including the Lavrent 0 ev-Bitsadz...

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