in this quasi-experimental study, we assess the effect of sodium bicarbonate solution on onset and duration of anesthesia with the use of lidocaine and adrenaline solution in surgical patients undergoing epidural anesthesia

Motivated by the structure of the Dynamics Programming Equations relative to Controlled Diffusions we study the Dirichlet value boundary problem governed by quasi–degenerate elliptic partial differential equations of second order. Interior properties of the solution involved to the Maximum Principle are also considered in the paper. 2000 Mathematics Subject Classification: 35B50, 35B37, 49L25

For efficient use of limited electromagnetic wave resource, the assignment of communication channels to call requests is very important in a cellular network. This task has been formulated as an NP-hard combinatorial optimization problem named the channel assignment problem (CAP). Given a cellular network and a set of call requests, CAP requires to find a channel assignment to the call requests...

We present a KAM theory for some dissipative systems (geometrically, these are conformally symplectic systems, i.e. systems that transform a symplectic form into a multiple of itself). For systems with n degrees of freedom depending on n parameters we show that it is possible to find solutions with n-dimensional (Diophantine) frequencies by adjusting the parameters. We do not assume that the sy...

We study the efficient numerical solution of infinite matrix equations Au = f for a matrix A in the Jaffard algebra. These matrices appear naturally via frame discretizations in many applications such as Gabor analysis, sampling theory, and quasi-diagonalization of pseudo-differential operators in the weighted Sjöstrand class. The proposed algorithm has two main features: firstly, it converges ...