An improved upper bound on the maximum size of -primitive sets.

Hegarty, Peter

Displaying similar documents to “An improved upper bound on the maximum size of $k$ -primitive sets.”

On the largest $k$ -primitive subset of $[1, n]$ .

Vijay, Sujith (2006)

Integers

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Bounds and estimates on the effective properties for nonlinear composites

Peter Wall (2000)

Applications of Mathematics

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In this paper we derive lower bounds and upper bounds on the effective properties for nonlinear heterogeneous systems. The key result to obtain these bounds is to derive a variational principle, which generalizes the variational principle by P. Ponte Castaneda from 1992. In general, when the Ponte Castaneda variational principle is used one only gets either a lower or an upper bound depending on the growth conditions. In this paper we overcome this problem by using our new variational...

Continuous dependence of 2D large scale primitive equations on the boundary conditions in oceanic dynamics

Yuanfei Li, Shengzhong Xiao (2022)

Applications of Mathematics

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In this paper, we consider an initial boundary value problem for the two-dimensional primitive equations of large scale oceanic dynamics. Assuming that the depth of the ocean is a positive constant, we establish rigorous a priori bounds of the solution to problem. With the aid of these a priori bounds, the continuous dependence of the solution on changes in the boundary terms is obtained.