Finite unions of balls in C^n are rationally convex

It is shown that the rational convexity of any finite union of disjoint closed balls in C^n follows easily from the results of Duval and Sibony.Comment: V.2 - minor edits, 2 page

J Public Health Manag Pract

Since 2003, the National Association of County and City Health Officials (NACCHO) has administered the Model Practice Award Program to commemorate the outstanding work of local health departments that have demonstrated creative and dynamic action in addressing identified public health needs. This nationally recognized award has been bestowed to over 3,000 local health departments since its inception and provides local health departments with a shared database of hundreds of health departments and over 850 best practices that are immediately replicable in their communities without having to \u201creinvent the wheel.\u201d In 2022, five outstanding local health department programs were recognized as Model Practices and sixteen programs were recognized as Promising Practices. The following article highlights on of those Model Practices, which was submitted by the Florida Department of Health in Duval County and highlights what they were able to achieve within their community when it comes to overdose intervention. For additional information about the Model Practices Program or to search Model Practices Database, visit https://www.naccho.org/membership/awards/model-practices.NU17CE925022/ImCDC/Intramural CDC HHSUnited States

On the Status of the Geodesic Principle in Newtonian and Relativistic Physics

A theorem due to Bob Geroch and Pong Soo Jang ["Motion of a Body in General Relativity." Journal of Mathematical Physics 16(1), (1975)] provides a sense in which the geodesic principle has the status of a theorem in General Relativity (GR). I have recently shown that a similar theorem holds in the context of geometrized Newtonian gravitation (Newton-Cartan theory) [Weatherall, J. O. "The Motion of a Body in Newtonian Theories." Journal of Mathematical Physics 52(3), (2011)]. Here I compare the interpretations of these two theorems. I argue that despite some apparent differences between the theorems, the status of the geodesic principle in geometrized Newtonian gravitation is, mutatis mutandis, strikingly similar to the relativistic case.Comment: 16 page

Galilean Isometries

We introduce three nested Lie algebras of infinitesimal `isometries' of a Galilei space-time structure which play the r\^ole of the algebra of Killing vector fields of a relativistic Lorentz space-time. Non trivial extensions of these Lie algebras arise naturally from the consideration of Newton-Cartan-Bargmann automorphisms.Comment: Plain TeX, 8 page

A recollection of Souriau's derivation of the Weyl equation via geometric quantization

These notes merely intend to memorialize Souriau's overlooked achievements regarding geo\-metric quantization of Poincar\'e-elementary symplectic systems. Restricting attention to his model of massless, spin-\half, particles, we faithfully rephrase and expound here Sections (18.82)--(18.96) & (19.122)--(19.134) of his book \cite{SSD} edited in 1969. Missing details about the use of a preferred Poincar\'e-invariant polarizer are provided for completeness

New solutions to the Hurwitz problem on square identities

The Hurwitz problem of composition of quadratic forms, or of "sum of squares identity" is tackled with the help of a particular class of $(\mathbb{Z}_2)^n$-graded non-associative algebras generalizing the octonions. This method provides an explicit formula for the classical Hurwitz-Radon identity and leads to new solutions in a neighborhood of the Hurwitz-Radon identity.Comment: 13 pages, 2 figures, final version to appear in J. Pure Appl. Al

Bigraphical Arrangements

We define the bigraphical arrangement of a graph and show that the Pak-Stanley labels of its regions are the parking functions of a closely related graph, thus proving conjectures of Duval, Klivans, and Martin and of Hopkins and Perkinson. A consequence is a new proof of a bijection between labeled graphs and regions of the Shi arrangement first given by Stanley. We also give bounds on the number of regions of a bigraphical arrangement.Comment: Added Remark 19 addressing arbitrary G-parking functions; minor revision

The Theatre of the Athletic Nude: The teaching and study of anatomy at the École des Beaux-Arts, Paris, 1873-1940

Physicians Paul Richer, Henry Meige and Mathias Duval were colleagues of French neurologist, J.-M. Charcot. In 1873-1940 they consolidated within their teaching at the École des Beaux-Arts a model of aesthetics based on a dynamic construction of the human body in movement. The theatrical spectatorship of the athletic nude was marshalled in the service of medicine, aesthetics, and social and racial health. Associated with the new sciences of physiology and neurology, Richer, Meige and Duval restored to academic art its modernity by marrying anatomical dissection with those new medical disciplines whose focus was the body in action. This revived the artist’s “maternal language” of the performing body, found at the ancient Greek Olympics or amongst the strongmen of the fairground. This produced a distinctly modern, neo-Classical aesthetic; a progressive, realist iconography of the masculine athletic subject in performance. The modern sports stadium acted as a theatrical locus for the teaching and promulgation of healthy, embodied, Republican aesthetics.The conference was sponsored by A.D.S.A., the Department of Performance Studies, the School of Letters, Arts and Media, and the Faculty of Arts of the University of Sydney

Advertisement Card: Duval Jewelry Company; 1939

Duval Jewelry Company: Now Featuring a Complete line of CAMERAS (Candid...Folding....Movie). Convenient Terms. Duval Jewelry Company 111 Main St. Lynch Bldg. On Back: Phi Delta Sigma BACKWARD TEA DANCE. Silver Room--Hotel Seminole. Saturday, May 27th, 1939. 3-6. Stag 25 cents. Drag 35 cent