منابع مشابه
Loops and the Lagrange Property
Let F be a family of finite loops closed under subloops and factor loops. Then every loop in F has the strong Lagrange property if and only if every simple loop in F has the weak Lagrange property. We exhibit several such families, and indicate how the Lagrange property enters into the problem of existence of finite simple loops. The two most important open problems in loop theory, namely the e...
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Let {St} be a sequence of interpolation schemes in Rn of degree d (i.e. for each St one has unique interpolation by a polynomial of total degree ≤ d) and total order ≤ l. Suppose that the points of St tend to 0 ∈ Rn as t→ ∞ and the Lagrange-Hermite interpolants, HSt , satisfy limt→∞HSt(x) = 0 for all monomials xα with |α| = d + 1. Theorem: limt→∞HSt (f) = T d(f) for all functions f of class Cl−...
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usual theorem of Lagrange multipliers says that a = (a1, . . . , an) ∈ Y is a critical point of f |Y if and only if there exists b = (b1, . . . , br) ∈ R such that (a;b) ∈ U×R is a critical point of the auxiliary function F = f+ ∑r i=1 yifi : U×R r → R. The point b is unique when it exists. We establish a closer relation between f and F for algebraic varieties over an arbitrary field K. Let X =...
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This is an investigation in the tradition of Fujita et al (IJCAI 1993), Zhang et al (JSC 1996), Dubois and Dequen (CP 2001) in which CP or SAT techniques are used to answer existence questions concerning small algebras. In this paper, we open the attack on IP loops, an interesting and underinvestigated variety intermediate between loops and groups.
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In this note, we revisit the classical first order necessary condition in mathematical programming in infinite dimension. The constraint set being defined by C = g−1(K) where g is a smooth map between Banach spaces, and K a closed convex cone, we show that existence of Lagrange-Karush-Kuhn-Tucker multipliers is equivalent to metric subregularity of the multifunction defining the constraint, and...
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ژورنال
عنوان ژورنال: Results in Mathematics
سال: 2003
ISSN: 0378-6218,1420-9012
DOI: 10.1007/bf03322722