The trend to reduce the size of electronic packages and develop increasingly sophisticated electronic devices with more, higher density inputs/outputs (I/Os), leads to the use of area array packages using chip scale packaging (CSP), flip chip (FC), and wafer level packaging (WLP) technologies. Greater attention has been paid to the reliability of solder joints and the assembly yield of the surf...

A three-dimensional analytical model of the knee-joint is presented, taking into account the geometry of the joint surfaces as well as the geometry and material properties of the ligaments and capsule. The position of a large number of points on the joint surfaces is measured and the geometry of these surfaces is then approximated by polynomials in space. The ligaments and capsule are represent...

Many sensorimotor neurons in the CNS encode global parameters of limb movement and posture rather than specific muscle or joint parameters. Our investigations of spinocerebellar activity have demonstrated that these second-order spinal neurons also may encode proprioceptive information in a limb-based rather than joint-based reference frame. However, our finding that each foot position was dete...

The goal of this paper is to give a simple proof of Deligne’s conjecture on the Lefschetz trace formula (proven by Fujiwara) and to generalize it to the situation appearing in the forthcoming joint paper with D. Kazhdan. Our proof holds in the realm of ordinary algebraic geometry and does not use rigid geometry.

There are different biometric modalities used to identify person which includes palmprint, face, fingerprint, iris and hand geometry. Apart from these biometric modalities, finger knuckle print also used as one of the cost effective biometric identifier. Finger knuckle print is defined by the back side of fingers. On the back side of fingers there are three joints named as Metacarpophalangeal (...

Contingency tables represent the joint distribution of categorical variables. In this chapter we use modern algebraic geometry to update the geometric representation of 2 × 2 contingency tables first explored in (Fienberg 1968) and (Fienberg and Gilbert 1970). Then we use this geometry for a series of new ends including various characterizations of the joint distribution in terms of combination...