At present there are two common types of integrated circuit inductor simulation tools.The first type is based on the Greenhouse methods [1], and obtains a solution in a fraction of a second; however, because it does not use solutions of the inductor charge and current distributions, it has limited accuracy.The second type, method of moments (MoM) solvers, determines the charge and current variations by decomposing the inductor into thousands of sub elements and solving a matrix.However, this process takes between minutes and hours to obtain a reasonably accurate solution.In this paper, we present a series of algorithms for solving inductors, of radius small compared to the wave length of the electrical signal, that equal or exceed the accuracy of MoM solvers, but obtain those solutions in roughly 1 second.( ) [ ] r O 1 and will complicate the accurate evaluation DAC 99, New Orleans, Louisiana: (c) 1999 ACM 1-58113-109-7/99/06..$5.00

Broadly speaking, the regional structure of a manipulator, which consists of the inboard three joints and the members associated with them, determines the workspace shape and volume. The orientation structure, which, for a six degree of freedom manipulator, consists of the three furthest outboard joints and members, determines the geometric dexterity or orientation potential of the manipulator. It is possible, using straightforward geometric arguments, to determine the optimal dimensions of the regional structure for a given total length. By the use of the spherical counterpart of Grashof's theorem formulated by Freudenstein, it is possible also to show that there is an optimum geometry of the orientation structure.