Working Without Chevron: The PTO as Prime Mover

Through a proliferation of post-issuance administrative proceedings, the U.S. Patent and Trademark Office (PTO) has become a major player in the fate of patents after their initial examination and grant. In combination with the PTO’s more traditional roles in initial examination and general guidance, new post-issuance proceedings enable the PTO to help steer the development of substantive patent law even without general provision of high-level Chevron deference for the agency’s interpretations of substantive aspects of the U.S. Patent Act. Contrary to some commentators’ suggestions, congressional authorization for new post-issuance proceedings does not appear to have included an implicit delegation of interpretive authority generally warranting Chevron deference on such matters. But the PTO can still accomplish much with lower-level deference and the advantages that its common “first mover” position provides

A Cluster Bootstrap for Two-Loop MHV Amplitudes

We apply a bootstrap procedure to two-loop MHV amplitudes in planar N=4 super-Yang-Mills theory. We argue that the mathematically most complicated part (the $\Lambda^2 B_2$ coproduct component) of the n-particle amplitude is uniquely determined by a simple cluster algebra property together with a few physical constraints (dihedral symmetry, analytic structure, supersymmetry, and well-defined collinear limits). We present a concise, closed-form expression which manifests these properties for all n.Comment: v2: a few comments adde

An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM

We describe a general algorithm which builds on several pieces of data available in the literature to construct explicit analytic formulas for two-loop MHV amplitudes in N=4 super-Yang-Mills theory. The non-classical part of an amplitude is built from $A_3$ cluster polylogarithm functions; classical polylogarithms with (negative) cluster X-coordinate arguments are added to complete the symbol of the amplitude; beyond-the-symbol terms proportional to $\pi^2$ are determined by comparison with the differential of the amplitude; and the overall additive constant is fixed by the collinear limit. We present an explicit formula for the seven-point amplitude $R_7^{(2)}$ as a sample application.Comment: 17 pages, 1 figure; v2: minor changes; v3: added a section with some background materia

Cluster Algebras and the Subalgebra Constructibility of the Seven-Particle Remainder Function

We review various aspects of cluster algebras and the ways in which they appear in the study of loop-level amplitudes in planar ${\cal N} = 4$ supersymmetric Yang-Mills theory. In particular, we highlight the different forms of cluster-algebraic structure that appear in this theory's two-loop MHV amplitudes---considered as functions, symbols, and at the level of their Lie cobracket---and recount how the `nonclassical' part of these amplitudes can be decomposed into specific functions evaluated on the $A_2$ or $A_3$ subalgebras of Gr$(4,n)$. We then extend this line of inquiry by searching for other subalgebras over which these amplitudes can be decomposed. We focus on the case of seven-particle kinematics, where we show that the nonclassical part of the two-loop MHV amplitude is also constructible out of functions evaluated on the $D_5$ and $A_5$ subalgebras of Gr$(4,7)$, and that these decompositions are themselves decomposable in terms of the same $A_4$ function. These nested decompositions take an especially canonical form, which is dictated in each case by constraints arising from the automorphism group of the parent algebra.Comment: 68 pages, 7 figures, 6 table

Mellin Bootstrap for Scalars in Generic Dimension

We use the recently developed framework of the Mellin bootstrap to study perturbatively free scalar CFTs in arbitrary dimensions. This approach uses the crossing-symmetric Mellin space formulation of correlation functions to generate algebraic bootstrap equations by demanding that only physical operators contribute to the OPE. We find that there are no perturbatively interacting CFTs with only fundamental scalars in $d>6$ dimensions (to at least second order in the perturbation). Our results can be seen as a modest step towards understanding the space of interacting CFTs in $d>6$ and are consistent with the intuition that no such CFTs exist.Comment: 11 pages + appendices. v2: references added, few minor revisions; published versio

Working Effectively With Employees who Have Sustained a Brain Injury

This brochure on individuals who have sustained a brain injury and the Americans with Disabilities Act (ADA) is one of a series on human resources practices and workplace accommodations for persons with disabilities edited by Susanne M. Bruyère, Ph.D., CRC, SPHR, Director, Program on Employment and Disability, School of Industrial and Labor Relations – Extension Division, Cornell University. It was updated in June, 2000 by Stephanie Hanson, Ph.D., College of Health Professions, University of Florida. The original as written by Thomas P. Golden, M.S., Program on Employment and Disability, Cornell Universit

That\u27s Why I Never Married

https://digitalcommons.library.umaine.edu/mmb-vp/6460/thumbnail.jp

Studies on the radioactivity of terrestrial minerals and meteorites

Not availabl

Understanding the Outcomes of Leadership Development - a Contextual Approach

The purpose of this thesis is to investigate the outcomes of leadership development in the context of a global building materials company. The study utilises a contextual approach to more fully understand the outcomes of leadership development. The value of a contextual approach is highlighted in the literature