Over the recent past, the galactic environment of the Sun has differed substantially from today. Sometime within the past ∼130,000 years, and possibly as recent as ∼56,000 years ago, the Sun entered the tenuous tepid partially ionized interstellar material now flowing past the Sun. Prior to that, the Sun was in the low density interior of the Local Bubble. As the Sun entered the local ISM flow,...

Ma and Spinrad have shown that every transitive orientation of a chordal comparability graph is the intersection of four linear orders. That is, chordal comparability graphs are comparability graphs of posets of dimension four. Among other uses, this gives an implicit representation of a chordal comparability graph using O(n) integers so that, given two vertices, it can be determined in O(1) ti...

Let us suppose G is right-multiply prime. Is it possible to extend hulls? We show that every semi-Gaussian subalgebra is measurable. It is not yet known whether Y 6= ∞, although [31] does address the issue of invertibility. Here, admissibility is clearly a concern.

A new method for structural topology optimization is introduced which employs the Isogeometric Analysis (IA) method. In this approach, an implicit function is constructed over the whole domain by Non-Uniform Rational B-Spline (NURBS) basis functions which are also used for creating the geometry and the surface of solution of the elasticity problem. Inspiration of the level set method zero level...

In this paper, thermal effects of laser irradiance on biological tissue is investigated using computer simulations. Earlier attempts in this field made use of finite difference and finite element techniques. Here a novel approach is adopted to improve the results. The effect of our implicit approach on the convergence procedure and accuracy of results, with different timing steps, is explor...

We discuss a differential equations treatment of the implicit functions problem. Our approach allows a precise and complete description of the solution, of continuity and differentiability properties. The critical case is also considered. The investigation is devoted to dimension two and three, but extensions to higher dimension are possible. MSC: 26B10, 34A12, 53A05. keywords: implicit functio...

Modern advances in implicit social cognition enabled development of novel methods for examining less conscious aspects of self-worth. The use of such ‘‘implicit” measures of self-esteem is based on the premise that because they circumvent direct self-reports, they must capture more implicit, automatic components of self-evaluation. Whether self-evaluations captured via ‘‘implicit” measures actu...