the compressibility factor of nonassociated chain molecules composed of hard convex core yukawa segments was derived with saft-vr and an extension of the barker-henderson perturbation theory for convex bodies. the temperature-dependent chain and dispersion compressibility factors were derived using the yukawa potential. the effects of temperature, packing fraction, and segment number on the com...

A player moving in the plane is given a sequence of instructions of the following type: at step i a planar convex set Fi is specified, and the player has to move to a point in Fi. The player is charged for the distance traveled. We provide a strategy for the player which is competitive, i.e., for any sequence Fi the cost to the player is within a constant (multiplicative) factor of the "off-lin...