In this paper we consider the analytical foundations of numerical applications of the symmetric difference quotient for orbits correction. From these considerations it follows that the better results obtained in numerical calculations of values of derivatives at point, obtained by replacing the ordinary di...
Numerical analysissymmetric difference quotientNot Availabledoi:10.1007/BF02426674Adrian BruniniKluwer Academic PublishersCelestial Mechanics & Dynamical Astronomy
摘要: The quotient of alternants the denominator being the difference-product of the arguments a, β, γ, …, is an important symmetric function, introduced into algebra by Jacobi in 1841.DOI: 10.1017/S0080454100006312 被引量: 29 年份: 1943 ...
It is noteworthy that such kind of steps is the inverse of Rayleigh quotient and satisfies the form of Eq. (5). Like the previously described methods, we illustrate the parallel implementation of this variant in Algorithm 5, called cyclic s-SD (Cs-SD) method. We observe that a cycle ...
What is the symmetric difference quotient? Find all values of a, b, and c for which A is symmetric. A = (-6 a - 2 b + 2 c 2 a + b + c 7 -3 a + c -9 9 9) Prove that the divide operator | is transitive, and that a|b implies that a ≤ b provided that b >...
摘要: Suppose that q is not a root of unity, it is proved in this paper that the center of the quantum group U q (sl 4 ) is isomorphic to a quotient algebra of polynomial algebra with four variables and one relation.关键词:quantized enveloping algebra quantum group quantum symmetric ...
What is the symmetric difference quotient?What is the relationship between rotational symmetry and reflectional symmetry?What condition ensures that ab is symmetric?Let R be a relationship on Z x (Z- {0}) defined by (a, b)R(c, d) if and only if ad = bc. For example, (1, 2)R(5...
functionswasdefinedbyEllisandKhovanovasaquotientofthequantumnoncommutativesymmetricfunctions.In theq=−1(or”odd”)caseoftheseq-symmetricfunctions,theyandLaudaintroducedodddivideddifferenceoperators andanoddnilHeckealgebra,usedinthecategorificationofquantumgroups.Usingdiagrammatictechniques,we ...
1Introduction Quantum Markov semigroups are a versatile tool that has found applications not only in quantum statistical mechanics, where they were originally introduced in the description of certain open quantum systems [Ali76,GKS76,Kos72,Lin76], but also in various purely mathematical fields such...
Thus, in the quotient manifold with metric \(g=-f(r)\,dv^2+2\,dv\,dr\), we have $$\begin{aligned} \text{ Regular } \text{ region }, { R}= & {} \{(v,r): r >r_0\},\nonumber \\ \text{ Trapped } \text{ region }, { T}= & {} \{(v,r): r <r_0\},\no...