I was a graduate student at the Mas-sachusetts Institute of Technology. The rst three years of these studies were supported by an NSF Graduate Student Fellowship. My research there led to a Ph.D. thesis entitled \Noncommutative ruled surfaces." My thesis research describes certain classes of graded rings which arise as homogeneous coordinate rings of noncommutative quantizations of algebraicall...

A Laguerre minimal surface is an immersed surface in R being an extremal of the functional ∫ (H/K− 1)dA. In the present paper, we prove that any ruled Laguerre minimal surface distinct from a plane is up to motion a convolution of the helicoid x = y tan z, the cycloid r(t) = (t− sin t, 1−cos t, 0) and the Plücker conoid (ax+ by) = z(x+y) for some a, b ∈ R. To achieve invariance under Laguerre t...

Circadian Rhythms Govern Cardiac Repolarization and Arrhythmogenesis Jeyaraj et al Nature. 2012;483:96–99. The ability of organisms to respond to time allows for anticipation of cyclic changes in the environment that provide a survival advantage. The time variance of environmental influences on an organism may occur over years, months, or days. Biological clocks are ubiquitous and hierarchical ...

This chapter covers the various free-form surface flank milling strategies available, focusing in particular on those for ruled surfaces as widely used in defining turbomachine parts. All these positionings seek to reduce interference between the cutting tool and the surface to be milled so as to respect the tolerances dictated by the Design Office. The range of strategies presented goes from t...

This paper uses new micro-level US data to re-examine productivity leadership in cotton spinning c. 1900. We find that output aggregation problems make the Census unreliable in this industry, and that Lancashire, not New England was the productivity leader for almost every type of yarn. This is true both for the operation of a given machinery type, and when comparing machinery typical in each c...

At the beginning of this study, a new ruled surface was created using modified frame. Then, distribution parameter surface, striction line, normal vector field were calculated and differential geometric properties examined. In last part examples related to are given.