complete necessary and sufficient conditions
Sufficient and necessary conditions of complete convergence for asymptotically negatively associated random variables
... However, Peligrad and Gut [4] did not prove whether the result of Baum and Katz [3] for the case αp = 1 holds for ρ-mixing random variables. Recently, Cai [5] complemented ˜ the result of Peligrad and Gut [4] for the ...
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Necessary and sufficient conditions for global uniqueness of equilibria
... One of the first results that need to be established in modeling the structure of markets is the existence of an equilibrium price system for an economy. The classical works of Arrow and Debreu have shown that all ...
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Necessary and sufficient conditions for a class of functions and their reciprocals to be logarithmically completely monotonic
... many complete mono- tonicity and logarithmically complete monotonicity properties related to the gamma function, psi function, and polygamma function can be found in the literature ...
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{Ck, Pk, Sk} Decompositions of Balanced Complete Bipartite Multigraphs
... Recently, Lee [15] [16] established necessary and sufficient conditions for the existence of a {Ck , Sk } -decomposition of a complete bipartite graph and {Pk , Sk } -decomposition of a [r] ...
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The dual nature of causation : two necessary and jointly sufficient conditions
... with complete states – such as the complete state the world is in at the time t when the rock is just leaving Suzy’s ...This complete state is global – it includes everything that is happening at ...
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(P 5) Factorization of Complete Bipartite Symmetric Digraphs
... of complete bipartite graph was studied by ...of complete bipartite graph was studied by ...of complete bipartite symmetric digraphs and show that the necessary and sufficient ...
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P9 factorization of Symmetric Complete Bipartite Digraph
... The necessary and sufficient conditions for the existence of - factorization of symmetric complete bipartite digraph were given by Du B ...the necessary and sufficient ...
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P ⃗ (4k 1) Factorization of Symmetric Complete Bipartite Digraph
... The necessary and sufficient conditions for the existences of factorization of symmetric complete bipartite digraph were given by Du B ...the necessary and sufficient ...
5
On the Necessary and Sufficient Conditions for Legitimate Banking Contracts
... only necessary in a sharing situation, whereby at least two parties will collaborate and reach agreement on how to share a scarce ...to complete the task of paying ...
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On encoding symbol degrees of array BP XOR codes
... the necessary and sufficient conditions for MDS [k + 2, k] and [n, 2] array BP-XOR ...new necessary conditions for array BP-XOR codes. These new necessary conditions are ...
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Necessary and Sufficient Optimality Conditions for Optimization Problems in Function Spaces and Applications to Control Theory
... optimality conditions for optimal control problems of partial differential ...optimality conditions, only a few references deal with the second order conditions for ...the sufficient second ...
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Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
... In the previous sections we have shown that under certain conditions, the original non- autonomous equation (1.1) and the associated SDE (1.7) behave similarly in the sense that both have positive solutions which ...
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Sufficient and Necessary Conditions for Oscillation of th Order Differential Equation with Retarded Argument
... Some other related results can be found in 2, 4, 9–12 and the references cited therein. Due to some problems of theoretical and technical character in handling with higher-order nonlinear differential equations, there are ...
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Necessary and sufficient optimality conditions for scheduling unit time jobs on identical parallel machines
... the necessary and sufficient optimality conditions, they might be beneficial for solving other problems as ...optimality conditions may involve the development of new algorithms for finding ...
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Necessary and Sufficient Conditions for the Existence of Positive Solution for Singular Boundary Value Problems on Time Scales
... The organization of this paper is as follows. In Section 2, we provide some necessary background. In Section 3, the main results of problem 1.1 -1.2 will be stated and proved. In Section 4, the main results of ...
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Sufficient and necessary conditions on the existence of stationary distribution and extinction for stochastic generalized logistic system
... In this paper, we consider the existence of stationary distribution and extinction for a stochastic generalized logistic system. Sufficient and necessary conditions for the existence of a stationary ...
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On a Sufficient and Necessary Condition for Graph Coloring
... ABSTRACT Using the linear space over the binary field that related to a graph G, a sufficient and necessary condition for the chromatic number of G is obtained... KEYWORDS Vertex Colorin[r] ...
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Necessary and sufficient conditions for eventually vanishing oscillatory solutions of functional equations with small delays
... NECESSARY AND SUFFICIENT CONDITIONS FOR EVENTUALLY VANISHING OSCILLATORY SOLUTIONS OF FUNCTIONAL EQUATIONS WITH SMALL DELAYS BHAGAT SINGH Department of Mathematics University of Wisconsi[r] ...
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Necessary and sufficient conditions for oscillation of fourth order dynamic equations on time scales
... has been discussed by Onose [11], where g is superlinear (sublinear) and strongly superlin- ear (strongly sublinear); he has extended and improved some interesting results of Kusano and Naito [12]. Furthermore, Gopalsamy ...
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Necessary and sufficient conditions under which convergence follows from summability by weighted means
... prove necessary and sufficient Tauberian conditions for sequences sum- mable by weighted mean ...the conditions in our theorems are easy consequences of the slowly decreasing con- dition for real ...
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