The Carpenter’s Rule Theorem states that any chain linkage in the plane can be folded continuously between any two configurations while preserving the bar lengths and without the bars crossing. However, this theorem applies only to strictly simple configurations, where bars intersect only at their common endpoints. We generalize the theorem to self-touching configurations, where bars can touch ...

I study monotonicity of equilibrium strategies in first-price auctions with asymmetric bidders, risk-aversion, affiliated types, and interdependent values. I prove that every mixed-strategy equilibrium is outcome equivalent to a monotone pure strategy equilibrium under the “priority rule” for breaking ties. This provides a missing link to establish uniqueness in Milgrom and Weber (1982)’s “gene...

Statistical metrology is the body of methods for understanding variation in microfabricated structures, devices, and circuits. The goal of this paper is to describe key features of statistical metrology, to review the tools and methods developed to date, and present an application of statistical metrology to advanced technology and design rule development. A running application example will be ...

<p>This work presents an adjustment mechanism with the sliding modes technique to design a proportional derivative (PD) controller adaptive gains. The objective and contribution are robust in presence of unknown not modeled perturbations system; this perturbation can be considered wind gusts. is designed MIT rule gradient method mode theory. PD obtained applied regulate unmanned fixed-win...

In this paper we present the results of comparing a statistical tagger for German based on decision trees and a rule-based Brill-Tagger for German. We used the same training corpus (and therefore the same tag-set) to train both taggers. We then applied the taggers to the same test corpus and compared their respective behavior and in particular their error rates. Both taggers perform similarly w...