Abstract: The behavior of certain interference-coupled multiuser systems can be modeled by means of logarithmically convex (log-convex) interference functions. In this paper, we show fundamental ...

In particular, it is proved that a convex, positive definite function is a Lyapunov function for an LDI if and only if its convex conjugate is a Lyapunov function for the LDIs dual. Examples show how ...

Department of Mathematics, COMSATS University Islamabad Park Road, Islamabad 44000, Pakistan Department of Mathematics, Yusuf Maitama Sule University Kano, Kofar Kabuga — Kofar Ruwa Road, PMB 3099, ...

For any densely defined, lower semi-continuous trace τ on a C*-algebra A with mutually commuting C*-subalgebras A 1, A 2, …A n, and a convex function f of n variables, we give a short proof of the ...

We estimate the slope of the Phillips curve in the cross section of U.S. states using newly constructed state-level price indexes for non-tradeable goods back to 1978. Our estimates indicate that the ...

What began with a focus on weather forecasting has evolved toward addressing errors in scientific modeling. In the collaborative environment of the Penn State Institute for Computational and Data ...

Demand rises as the product becomes more affordable. Changes in demand levels as a function of a product's price relative to buyers' income or resources are known as the income effect. But some ...

The exact slope of the isoquant curve on the graph shows ... An isoquant curve, because of the MRTS effect, is convex to its origin. This indicates that factors of production may be substituted ...