The direct theory for stability of motion in terms of vector Lyapunov functions and the general comparison method is well-developed and effectively applied for large scale dynamical systems. A generalized space where the norm is vector valued offers a more flexible mechanism than the one that is ...
摘要: In this paper, we study vector-valued Dp_~μ,q function and extend the results of scalar-valued Dp_~μ,q function by the technique of Banach space geometry.关键词:Dp_~μ q function Rademacher p-type space Lipschitz condition
An object moves in a path defined by the vector-valued functionr(t)=4ti+t2jr(t)=4ti+t2j, wherettmeasures time in seconds. FindaTaTandaNaNas functions oftt. FindaTaTandaNaNat timet=−3t=−3. Show Solution aT=2tt2+4,aN=2t2+4 ...
Find the unit tangent vector for the vector-valued function {eq}\displaystyle \mathbf r (t) = (x^2 - 3) \mathbf i + (2t + 1) \mathbf j + (t - 2) \mathbf k {/eq}. Vector Valued Function: All those functions are expressed using the vectors,...
Calculater′(t)for the vector-valued functionr(t)=19t2+5(3t,1,−2) Vector Function of a Scalar Argument: Vector functions of a scalar argument are of common use in physics; for example, the velocityv→(t)and the accelerationa→(t)are two vector quantities th...
Derivation of Vector-Valued Boolean Functions 来自 国家科技图书文献中心 喜欢 0 阅读量: 33 作者: F Bazsó 摘要: The notion of Jacobi matrix is introduced for B m → B n mappings. The chain rule, the inverse function theorem and the implicit function theorem are proved. The meaning o...
Mean-valuetheoremforvector-valuedfunctions MathematicaBohemica,Vol.137(2012),No.4,415--423 PersistentURL:http://dml.cz/dmlcz/142997 Termsofuse: ©InstituteofMathematicsASCR,2012 InstituteofMathematicsoftheAcademyofSciencesoftheCzechRepublicprovidesaccessto digitizeddocumentsstrictlyforpersonaluse.Eachcopyof...
we prove that the space spanned by the trace functions TrM qL(0)-c/24ζh(0) (M a V-module) is a vector-valued weak Jacobi form of weight 0... KRAUEL,MATTHEW - 《International Journal of Mathematics》 被引量: 27发表: 2012年 Vertex operator algebras and weak Jacobi forms we prove ...
We present an evolution equation approach in a Banach space Ep:=E×Lp(−1,0;E) proving that the solutions can be reformulated as Ep-valued Markov processes. Based on the Markovian representation we prove the existence and continuity of the solutions. The results are applied to stochastic ...
Ground motion selectionA vector-valued intensity measure is presented, which incorporates a relative measure represented by the normalized spectral area. The proposed intensity measure is intended to have high correlation with specific relative engineering demand parameters, which collectively can provide ...