Necessary conditions for an AdS-type instability

The Necessary Conditions for Clos-Type Nonblocking Multicast Networks

Efficient interconnection networks are critical to the performance of large communication systems and parallel and distributed computing systems with hundreds or thousands of communication components. The well-known Clos network or v(m;n; r) network can be extended to provide full one-to-many or multicast capability. In this paper, we consider several typical routing control strategies for Clos...

Some Results on Necessary Conditions for Tow Quasidifferentiable Optimization Problems

New Necessary Conditions for

In this paper, we obtain several nonexistence results for abelian Hadamard diier-ence sets. In particular, we prove that there are no Hadamard diierence sets in abelian groups G = Z 2 Z 2 P , where jPj = p 2 , is odd and p is a prime congruent to 1(mod 4). Also we give a detailed proof for a connection between certain reversible Hadamard diierence sets and projective three-weight codes which wa...

Necessary Conditions for Subdivision Surfaces

Subdivision surfaces are considered which consist of tri-or quadrilateral patches in a mostly regular arrangement with nitely many irregularities. A sharp estimate on the lowest possible degree of the patches is given. It depends on the smoothness and exibility of the underlying subdivision scheme.

Necessary Conditions for the CAPM

The general restrictions on all economic primitives (i.e., (a) endowments, (b) preferences, and (c) asset return distributions) that yield the CAPM under the expected utility paradigm are provided. These results are then used to derive the class of restrictions on preferences and the distribution of asset returns alone that provides the CAPM. We also show that the conditions that provide the CA...