Creating An Information Technology Security Program for Educators

Information Technology (IT) Security education has become a critical component to college curriculum within the past few years. Along with developing security courses and degrees, there is a need to train college educators and disseminate the security curriculum and best-practices to other colleges. St. Petersburg College implemented a project entitled Information Technology Security and Education for Educators (ITSCEE) designed to address Priority III of the “National Strategy to Secure Cyberspace”, establishment of a “national cyberspace training program.” The project was designed to produce three nationally relevant IT Security degree and certificate programs at the associate, advanced technical certificate, and baccalaureate levels. Also, the project was designed to provide training and an opportunity for the Florida Community College Faculty to obtain certification in the IT Security arena to assist their institutions in deploying relevant IT Security degree programs. This paper will describe the evolution of this project, the success in meeting goals, lessons learned and techniques and best practices other colleges may use to enhance their programs

Inextensible domains

We develop a theory of planar, origin-symmetric, convex domains that are inextensible with respect to lattice covering, that is, domains such that augmenting them in any way allows fewer domains to cover the same area. We show that origin-symmetric inextensible domains are exactly the origin-symmetric convex domains with a circle of outer billiard triangles. We address a conjecture by Genin and Tabachnikov about convex domains, not necessarily symmetric, with a circle of outer billiard triangles, and show that it follows immediately from a result of Sas.Comment: Final submitted manuscript. Geometriae Dedicata, 201

The Evolution of Our Local Cosmic Domain: Effective Causal Limits

The causal limit usually considered in cosmology is the particle horizon, delimiting the possibilities of causal connection in the expanding universe. However it is not a realistic indicator of the effective local limits of important interactions in spacetime. We consider here the matter horizon for the Solar System, that is,the comoving region which has contributed matter to our local physical environment. This lies inside the effective domain of dependence, which (assuming the universe is dominated by dark matter along with baryonic matter and vacuum-energy-like dark energy) consists of those regions that have had a significant active physical influence on this environment through effects such as matter accretion and acoustic waves. It is not determined by the velocity of light c, but by the flow of matter perturbations along their world lines and associated gravitational effects. We emphasize how small a region the perturbations which became our Galaxy occupied, relative to the observable universe -- even relative to the smallest-scale perturbations detectable in the cosmic microwave background radiation. Finally, looking to the future of our cosmic domain, we suggest simple dynamical criteria for determining the present domain of influence and the future matter horizon. The former is the radial distance at which our local region is just now separating from the cosmic expansion. The latter represents the limits of growth of the matter horizon in the far future.Comment: 18 pages and 2 figure

Lipschitz domains, domains with corners and the Hodge Laplacian

We define self-adjoint extensions of the Hodge Laplacian on Lipschitz domains in Riemannian manifolds, corresponding to either the absolute or the relative boundary condition, and examine regularity properties of these operators' domains and form domains. We obtain results valid for general Lipschitz domains, and stronger results for a special class of ``almost convex'' domains, which apply to domains with corners.Comment: 20 pages; amste

Dark quark domains

Formation of stable domains filled with strongly correlated coherent quark matter is discussed in general terms and is exemplified further in the framework of the Generalised Nambu-Jona-Lasinio model. It is argued that such domains, if exist in the Universe, appear dark to an external observer.Comment: LaTeX2e, 5 pages, uses jetpl.cls (included), to appear in JETP Let

Random Dictatorship Domains

Published in Games and Economic Behavior https://doi.org/10.1016/j.geb.2014.03.017</p

Excellent Normal Local Domains and Extensions of Krull Domains

We consider properties of extensions of Krull domains such as flatness that involve behavior of extensions and contractions of prime ideals. Let (R,m) be an excellent normal local domain with field of fractions K, let y be a nonzero element in m, and let R* denote the (y)-adic completion of R. For a finite set w of elements of yR* that are algebraically independent over R, we construct two Krull domains: an intersection domain A that is the intersection of R* with the field of fractions of K[w], and an approximation domain B to A. If R is countable with dim R at least 2, we prove that there exist sets w as above such that the extension R[w] to R*[1/y] is flat. In this case B = A is Noetherian, but may fail to be excellent as we demonstrate with examples. We present several theorems involving the construction. These theorems yield examples where B is properly contained in A and A is Noetherian while B is not Noetherian, and other examples where B = A is not Noetherian.Comment: 24 pages to appear in JPA