We define and study partial correlation graphs (PCGs) with variables in a general Hilbert space and their connections to generalized neighborhood regression, without making any distributional assumptions. Using operator-theoretic arguments, and especially the properties of projection operators on Hilbert spaces, we show that these neighborhood regressions have the algebraic structure of a latti...

The literature on food stores, neighborhood poverty, and race/ethnicity is mixed and lacks methods of accounting for complex spatial and temporal clustering of food resources. We used quarterly data on supermarket and convenience store locations from Nielsen TDLinx (Nielsen Holdings N.V., New York, New York) spanning 7 years (2006-2012) and census tract-based neighborhood sociodemographic data ...

Urban cellular automata (CA) models are broadly used in quantitative analyses and predictions of urban land-use dynamics. However, most urban CA developed with neighborhood rules consider only a small neighborhood scope under a specific spatial resolution. Here, we quantify neighborhood effects in a relatively large cellular space and analyze their role in the performance of an urban land use m...

OBJECTIVE The purpose of this cross-sectional study was to establish neighborhood built environment correlates of adiposity as measured by dual x-ray absorptiometry (DXA). The utility and methodological gains of using this measure for built environment research was further investigated by comparing model fit across parallel models on BMI z-scores and waist circumference. METHODS Pre-existing ...

We prove that in a two-dimensional Sandpile automaton, embedded in a regular infinite planar cellular space, it is impossible to cross information, if the bit of information is the presence (or absence) of an avalanche. This proves that it is impossible to embed arbitrary logical circuits in a Sandpile through quiescent configurations. Our result applies also for the non-planar neighborhood of ...

Let f be an essential map of Sn−1 into itself (i.e., f is not homotopic to a constant mapping) admitting an extension mapping the closed unit ball B n into Rn. Then, for every interior point y of Bn, there exists a point x in f −1(y) such that the image of no neighborhood of x is contained in a coordinate half space with y on its boundary. Under additional conditions, the image of a neighborhoo...

The local positivity of solutions to logarithmically singular diffusion equations is investigated in some space-time domain E×(0, T ]. It is shown that if at some time level to ∈ (0, T ] and some point xo ∈ E the solution u(·, to) is not identically zero in a neighborhood of xo, in a measure-theoretical sense, then it is strictly positive in a neighborhood of (xo, to). The precise form of this ...

scheduling is to determine the priorities or arrange the activities to meet the needs, limitations and certain goals. because the time is always a limited resource, all activities should be scheduled to use optimally and certainly the resource. gravitational force algorithm, like other evolutionary algorithms, is inspired by nature. the effect of the gravity on the objects reciprocally and to a...

As WWW grows at an increasing speed, a classifier targeted at hypertext has become in high demand. While document categorization is quite a mature, the issue of utilizing hypertext structure and hyperlinks has been relatively unexplored. In this paper, we introduce tensor space model for representing hypertext documents. We exploit the local-structure and neighborhood recommendation encapsulate...

In subsequent papers I propose to investigate various properties of fibre spaces. The object of the fundamental Hurewicz-Steenrod definition is to state a minimum set of readily verifiable conditions under which the covering homotopy theorem holds. An apparent defect of their definition is that it is not topologically invariant. In fact, for topological space X and metrizable non-compact space ...