Thermal Fractionation of Polyolefins: Brief History, New Developments and Future Perspective

Complex geometry: Its brief history and its future Personal perspective

There are surprisingly rich properties of these holomorphic functions. The possibility of holomorphic continuation of holomorphic functions forces us to consider multi-valued holomorphic functions. The concept of Riemann Surfaces was introduced to understand such phenomena. The ideas of branch cuts and branch points immediately relate topology of these surfaces to complex variables. The possibi...

Recent Children's Policy and Legislative Developments in Virginia: A Brief History, A Bright Future

A brief history of Kovalevskaya exponents and modern developments

The Kovalevskaya exponents are sets of exponents that can be associated with a given nonlinear vector field. They correspond to the Fuch’s indices of the linearized vector field around particular scale invariant solutions. They were used by S. Kovalevskaya to prove the single-valuedness of the classical cases of integrability of the rigid body motion. In this paper, a history of the discovery a...

Industrial Perspective on Deep Brain Stimulation: History, Current State, and Future Developments

Deep brain stimulation (DBS) emerged in the late 1960s as a possible therapeutic alternative to lesioning in patients with severe, chronic, intractable pain. DBS devices in the era were based on cardiac pacing technology but were greatly modified in implementation due to the unique needs of DBS. Clinical studies in the 1970s and early 1980s have revealed a technique with modest results which di...

A Brief History of Networked Classrooms to 2013: Effects, Cases, Pedagogy, and Implications with New Developments

When the original work appeared (Abrahamson, 2006), it spoke of a huge burgeoning sense of excitement surrounding networked classrooms and their growing use throughout universities worldwide. Today, the picture is more complex and substantially more interesting. Driving forces, which include growing acceptance of the evolving nature of teaching and learning, high quality experiments showing wha...