We introduce the notion of N-reduced dynamical cocycles and use these objects to define enhancements of the rack counting invariant for classical and virtual knots and links. We provide examples to show that the new invariants are not determined by the rack counting invariant, the Jones polynomial or the generalized Alexander polynomial.

As the technological advances lead to miniaturization of mechanical devices, engineers face new challenges that are brought about by the fundamentally different rules that apply at small scales. One of the biggest problems in small machines is the excessive wear of the many surfaces that work in contact with each other, which severely constrains the durability of such machine parts. Here, a for...

Datacenters have traditionally been designed and deployed as a collection of server racks, where each rack consists of approximately 42 units of servers connected to one or two edge switches. In this model, computation is generally localized within a single server, and the edge switches provide 10 or 40 Gbps of non-blocking bandwidth between servers in the same rack. Although the traditional mo...

objective: the role of vitamin d has soared to a pinnacle in recent years with functions affecting 229 human genes linked to cardiovascular, autoimmune, humoral, pulmonary and neurological diseases. relationship between obesity and vitamin d has not as yet been fully established. the objective of the study was to determine the possible relationship between vitamin d receptor (vdr) gene polymorp...

INTRODUCTION AND AIMS Knowledge of attention deficit hyperactivity disorder (ADHD) symptoms among patients in opioid maintenance treatment (OMT) is important for treatment optimization and yet limited. We investigated the prevalence of ADHD symptoms, and factors associated with high ADHD symptom burden in a group of Norwegian OMT patients. METHODS We interviewed individuals entering OMT acros...

Objective. To perform a survey of the American Society of Retina Specialists (ASRS) regarding the use of vitreous cavity fluorinated gas as an adjunct to pars plana vitrectomy for retinal detachment or macular hole repair. Methods. A multiple-choice online questionnaire was administered to members of ASRS. Physician experience, gas preference for vitrectomy, and categorical estimate of observat...

This document describes Macro-FF, an adaptive planning system developed on top of FF version 2.3. The original FF is a fully automatic planner that uses a heuristic search approach. In addition, Macro-FF can automatically learn and use macro-actions with the goal of reducing the number of expanded nodes in the search. Macro-FF also includes implementation enhancements for reducing space and CPU...

Objective: The role of vitamin D has soared to a pinnacle in recent years with functions affecting 229 human genes linked to cardiovascular, autoimmune, humoral, pulmonary and neurological diseases. Relationship between obesity and vitamin D has not as yet been fully established. The objective of the study was to determine the possible relationship between Vitamin D receptor (VDR) gene polymorp...

Objective: The role of vitamin D has soared to a pinnacle in recent years with functions affecting 229 human genes linked to cardiovascular, autoimmune, humoral, pulmonary and neurological diseases. Relationship between obesity and vitamin D has not as yet been fully established. The objective of the study was to determine the possible relationship between Vitamin D receptor (VDR) gene polymorp...