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The inclusion-exclusion formula (IEF) is a fundamental tool for evaluating network reliability with known minimal paths or minimal cuts. However, the formula contains many pairs of terms which cancel....
An expository summary of properties of the poset of Dyck paths ordered by inclusion.
We study condensation in several particle systems related to the inclusion process. For an asymmetric one-dimensional version with closed boundary conditions and drift to the right, we show that all b...
The inclusion relations between the Lp-Sobolev spaces and the modulation spaces is determined explicitly. As an application,mapping properties of unimodular Fourier multiplier ei|D| between Lp-Sobol...
Improved inclusion-exclusion inequalities for unions of sets are available wherein terms usually included in the alternating sum formula can be left out. This is the case when a key abstract tube con...
Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the va...
In the present paper, the authors prove several inclusion relations associated with the -neighborhoods of certain subclasses of -valently analytic functions of complex order, which are introduced here...
Epi-differentiability and Optimality Conditions for an Extremal Problem Under Inclusion Constraints.
By means of a certain extended derivative operator of Ruscheweyh type, the authors introduce and investigate two new subclasses of p-valently analytic functions of complex order. The various results o...
In this paper we have proved two theorems concerning an inclusion between two absolute summability methods by using any absolute summability factor.
The purpose of this paper is to introduce and study a new kind of generalized strongly nonlinear operator inclusion problems involving generalized m-accretive mapping in Banach spaces. By using the re...
A complex matrix A is said to be a matrix realization of the digraph D if D is the associated digraph of A, and A is said to have the property B if every singular value of A is contained in the union ...

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