منابع مشابه
synthesis and characterization of some macrocyclic schiff bases
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15 صفحه اولExtremal Bases, Geometrically Separated Domains and Applications
In this paper we introduce the notion of extremal basis of tangent vector fields at a boundary point of finite type of a pseudo-convex domain in C, n ≥ 3. Using this notion we define the class of geometrically separated domains at a boundary point and we give a description of their complex geometry. Examples of such domains are given, for instance, by locally lineally convex domains, domains wi...
متن کاملSome Extremal Problems in Geometry
Continuing our work of [3] we obtain lower bounds on the number of simplices of different volumes and on the number of hyperplanes determined by n points in Ek , not all of which lie on an Ek-1 and no k of which lie on an Ek-2 . We also determine the minimum number of triangles t determined by n noncollinear points in the plane and discuss what values of t can be achieved . L . M . Kelly and 14...
متن کاملSome Hilbert Space Extremal Problems
is achieved. This is given by e¡ = (1 -\-'Kkj)~1hj, where X is the unique positive root of £"-0 kj(l +\k])-1\hj\2 = M2. Davis proved the result by first considering the extremal problem for ra dimensional Euclidean space Rn. In this case the problem has the following geometric interpretation : (a") Let E be the hyperellipse {(oi, • • • , an): ]£?„„ kjOJ^M2} in Rn and suppose that h = (hi, • ■ ■...
متن کاملAdditive Bases and Extremal Problems in Groups, Graphs and Networks
Bases in sets and groups and their extremal problems have been studied in additive number theory such as the postage stamp problem. On the other hand, Cayley graphs based on specific finite groups have been studied in algebraic graph theory and applied to construct efficient communication networks such as circulant networks with minimum diameter (or transmission delay). In this paper we establi...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1978
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1978-0476685-7