Online Tracking of Linear Subspaces

2006 ◽  
pp. 438-452 ◽  
Author(s):  
Koby Crammer
Keyword(s):  
Linear Subspaces ◽  
Online Tracking

The Development of an Online Tobacco Tracker Tool to Crowdsource Campus Environmental Reports for Smoke and Tobacco Free College Policies: A Mixed Methods Study (Preprint)

2020 ◽  
Author(s):  
Sabrina F. Loureiro ◽  
Kim M. Pulvers ◽  
Melissa M. Gosdin ◽  
Keavagh R. Clift ◽  
Myra J. Rice ◽  
...  
Keyword(s):  
Mixed Methods ◽  
Focus Groups ◽  
Positive Reinforcement ◽  
The United States ◽  
College Campuses ◽  
Policy Enforcement ◽  
Sequential Mixed Methods ◽  
Effective Policy ◽  
Online Tracking ◽  
One Year

BACKGROUND College campuses in the United States have begun implementing Smoke and Tobacco-Free policies to discourage the use of tobacco. Smoke and Tobacco-Free policies, however, are contingent upon effective policy enforcement. OBJECTIVE To develop an empirically-derived online tracking tool (Tracker) for crowdsourcing campus environmental reports of tobacco use and waste to support smoke and tobacco-free college policies. METHODS An exploratory sequential mixed methods approach was utilized to inform the development and evaluation of the Tracker. In October 2018, three focus groups across two California universities were conducted and themes were analyzed, guiding Tracker development. After one year of implementation, users were asked in April 2020 to complete a survey about their experience. RESULTS In the focus groups, two major themes emerged: barriers and facilitators to tool utilization. Further Tracker development was guided by focus group input to address these barriers (e.g. information, policing, and logistical concerns) and facilitators (e.g. environmental motivators, positive reinforcement). Amongst 1,163 Tracker reports, those who completed the user survey (n=316) reported the top motivations to using the tool were having a cleaner environment (79%) and health concerns (69%). CONCLUSIONS Environmental concerns, a motivator which emerged in focus groups, shaped the Tracker’s development and was cited by the majority of users surveyed as a top motivator for utilization.

scholarly journals EULER CLASSES: SIX-FUNCTORS FORMALISM, DUALITIES, INTEGRALITY AND LINEAR SUBSPACES OF COMPLETE INTERSECTIONS

2021 ◽  
pp. 1-66
Author(s):  
Tom Bachmann ◽  
Kirsten Wickelgren
Keyword(s):  
Commutative Algebra ◽  
Vector Bundles ◽  
Euler Class ◽  
Complete Intersections ◽  
Bilinear Forms ◽  
Euler Numbers ◽  
Coherent Sheaves ◽  
Linear Subspaces ◽  
Algebraic Vector

Abstract We equate various Euler classes of algebraic vector bundles, including those of [12] and one suggested by M. J. Hopkins, A. Raksit, and J.-P. Serre. We establish integrality results for this Euler class and give formulas for local indices at isolated zeros, both in terms of the six-functors formalism of coherent sheaves and as an explicit recipe in the commutative algebra of Scheja and Storch. As an application, we compute the Euler classes enriched in bilinear forms associated to arithmetic counts of d-planes on complete intersections in $\mathbb P^n$ in terms of topological Euler numbers over $\mathbb {R}$ and $\mathbb {C}$ .

scholarly journals Entire Analytic Functions of Unbounded Type on Banach Spaces and Their Lineability

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 150
Author(s):  
Andriy Zagorodnyuk ◽  
Anna Hihliuk
Keyword(s):  
Banach Space ◽  
Banach Spaces ◽  
Analytic Functions ◽  
Entire Functions ◽  
Dimensional Algebra ◽  
Dimensional Banach Space ◽  
Infinite Dimensional ◽  
Linear Subspaces ◽  
Infinite Dimensional Banach Space

In the paper we establish some conditions under which a given sequence of polynomials on a Banach space X supports entire functions of unbounded type, and construct some counter examples. We show that if X is an infinite dimensional Banach space, then the set of entire functions of unbounded type can be represented as a union of infinite dimensional linear subspaces (without the origin). Moreover, we show that for some cases, the set of entire functions of unbounded type generated by a given sequence of polynomials contains an infinite dimensional algebra (without the origin). Some applications for symmetric analytic functions on Banach spaces are obtained.

scholarly journals Online tracking of the contents of conscious perception using real-time fMRI

2014 ◽  
Vol 8 ◽  
Author(s):  
Christoph Reichert ◽  
Robert Fendrich ◽  
Johannes Bernarding ◽  
Claus Tempelmann ◽  
Hermann Hinrichs ◽  
...  
Keyword(s):  
Real Time ◽  
Conscious Perception ◽  
Online Tracking

The volume of an isotropic random parallelotope

1979 ◽  
Vol 16 (1) ◽  
pp. 84-94 ◽  
Author(s):  
Harold Ruben
Keyword(s):  
Multivariate Statistics ◽  
Orthogonal Projection ◽  
Actual Distribution ◽  
Linear Subspaces ◽  
Radial Projection ◽  
Isotropic Random

The p-content of the p-parallelotope ∇p, n determined by p independent isotropic random points z1, …, zp in ℝn (1 < p ≦ n) can be expressed as a product of independent variates in two ways, by successive orthogonal projection onto linear subspaces and by radial projection of the points, enabling calculation of the actual distribution as well as the moments of ∇p, n. This is done explicitly in several cases. The results also have interest in multivariate statistics.

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