The vanishing of Tor_1^R(R^+,k) implies that R is regular

Let (R,m,k) be an excellent local ring of positive prime characteristic. We show that if Tor_1^R(R^+,k) = 0 then R is regular. This improves a result of Schoutens, in which the additional hypothesis that R was an isolated singularity was required for the proof.Comment: 3 pages, to appear in Proceedings of the AM

O/R

A woman crushes a stick of black chalk with a pestle and mortar, pinches the ground dust into a pile on the floor, leans down, inhales, exhales and blows the dust across the floor. The process is repeated through a grading spectrum of black to white. A second woman kneels beside her and writes on the floor in matching tones a record of the action taking place. They work in synch and in rhythm: one creates a physical action that the other interprets in words. Once the charcoal set is crushed to exhaustion the woman with the now blackened face sits up. Her documenter follows. The documentation of ‘O / R’ is as live as the performance itself. Each mode informs the other and benefits from the particular requirement imposed by a ‘site’. The site here is not just the physical location, but includes the artist's body, the anticipated audience, the environment, and the atmosphere. Rather than prioritising one form over another, each manifestation is seen as having generative potential for further creative responses. This reflexivity relies on the observation of each other’s movements and decisions throughout, and it is this construct that allows the problem of documentation to be analyzed. With no time to reflect, to square up a shot or rephrase a sentence after the event, the integral nature of the work’s document is exposed to complication and chance; it becomes as influential as the action it is intended to record. The ‘live’ context the work represents becomes threefold when exhibited by networked stream: through action, observation and record, and the mediation of these acts across digital terrain. 'O / R' is a five-minute adaption of 'Oral / Response’ produced as a new work exclusively for Low Lives 4 and performed and streamed 27th April 2012

Instanton Calculus With R-R Background And Topological Strings

The non-perturbative low energy effective action of N=2 SYM is studied within a microscopic string realization via D3/D-instanton systems. The localization deformation of instanton moduli space which has allowed the exact computation of multi-instanton contributions is, in this setting, due to a RR graviphoton background. The relation of deformed instanton contributions to topological string amplitudes on CY, argued by Nekrasov, appears quite natural in this framework. Based on arXiv:hep-th/0606013.Comment: 5 pages, 3 fig.s, Latex, uses w-art class (included). To appear in the proceedings of the RTN workshop "ForcesUniverse", Naples, October 9-13, 200

Database integrated analytics using R : initial experiences with SQL-Server + R

© 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.Most data scientists use nowadays functional or semi-functional languages like SQL, Scala or R to treat data, obtained directly from databases. Such process requires to fetch data, process it, then store again, and such process tends to be done outside the DB, in often complex data-flows. Recently, database service providers have decided to integrate “R-as-a-Service” in their DB solutions. The analytics engine is called directly from the SQL query tree, and results are returned as part of the same query. Here we show a first taste of such technology by testing the portability of our ALOJA-ML analytics framework, coded in R, to Microsoft SQL-Server 2016, one of the SQL+R solutions released recently. In this work we discuss some data-flow schemes for porting a local DB + analytics engine architecture towards Big Data, focusing specially on the new DB Integrated Analytics approach, and commenting the first experiences in usability and performance obtained from such new services and capabilities.Peer ReviewedPostprint (author's final draft

John R. Wooden, Stephen R. Covey and Servant Leadership: A Commentary

Ralph Waldo Emerson observed that consistency was the hobgoblin of little minds and that insight well underscores the challenges associated with accurately describing the leadership philosophy (and actions) of anyone - from coaches like John Wooden, leadership gurus like Steve Covey and Peter Drucker, philosophers like Aristotle and Socrates, or you and me. They are not always perfectly consistent, evolving, and even changing as situations and setting shift in both anticipated and unpredictable ways