We introduce a generalized cake-cutting problem in which we seek to divide multiple cakes so that two players may get their most-preferred piece selections: a choice of one piece from each cake, allowing for the possibility of linked preferences over the cakes. For two players, we show that disjoint envy-free piece selections may not exist for two cakes cut into two pieces each, and they may no...

Suppose we are given three goods, X,Y , and Z. They are not homogeneous, but come in different qualities, x ∈ X , y ∈ Y and z ∈ Z. Goods X and Y are used for the sole purpose of producing good Z, which we are interested in. To obtain one piece of good Z, one has to assemble one piece of good X and one piece of good Y . More precisely, one can obtain a piece of quality z by assembling one piece ...

Purpose: To substantiate the circuit design and algorithms for individual smooth automatic control of single-phase direct current electric locomotives according to laws constant traction force power without breaking locomotive circuits in order increase efficiency its drive with controllable motor excitation converters. As a solution, it is proposed apply electrical two rectifier-inverter conve...

My time as interim editor is over. I hand over the reins to Dr George Larcos. As of this issue, the ASUM Ultrasound Bulletin will be no longer. It will be replaced with Australasian Journal of Ultrasound in Medicine. In keeping with an increase in the number of quality peer reviewed articles, this is a positive step. WFUMB 2009 has about 700 online submitted abstracts. This huge number of abstr...