let r be a fnite commutative ring and n(r) be the set of non unit elements of r. the non unit graph of r, denoted by gamma(r), is the graph obtained by setting all the elements of n(r) to be the vertices and defning distinct vertices x and y to be adjacent if and only if x - yin n(r). in this paper, the basic properties of gamma(r) are investigated and some characterization results regarding co...

UNLABELLED The objective of the present investigation was to determine the feasibility of assessing left ventricular systolic ejection and diastolic filling via the automatic edge detection method employing ECG-gated blood pool single-photon emission tomography (SPET GBP) data. METHODS Thirty-five patients, who had undergone both SPET GBP and ECG-gated equilibrium blood pool scintigraphy by t...

We present the first numerical analysis of causal, stable first-order relativistic hydrodynamics with ideal gas microphysics, based in formalism developed by Bemfica, Disconzi, Noronha, and Kovtun (BDNK theory). The BDNK approach provides definitions for conserved stress-energy tensor baryon current, rigorously proves causality, local well-posedness, strong hyperbolicity, linear stability (abou...

This paper presents a method for determining the six degrees-of-freedom transformation between a camera and a base frame of interest. A planar mirror is maneuvered so as to allow the camera to observe the environment from several viewing angles. Points, whose coordinates in the base frame are known, are observed by the camera via their reflections in the mirror. Exploiting these measurements, w...

Relative equilibria are special solutions of partial differential equations (PDEs), which are stationary in an appropriate comoving frame of reference. Such solutions occur frequently in biological and chemical models, e.g. when describing pattern formation of reaction-diffusion equations. Examples are traveling waves in 1d, planar and spiral waves in 2d and scroll waves in 3d. If the equation ...

In many vision applications the depth relief of an observed scene is small compared with the extent of the image. Beside man-made environments these scenes may be approximated by a plane. Due to environmental influences camera parameters can gradually change which motivates the need for a continuous self-calibration. Based on the theory of recursive parameter estimation we present an update sch...

We present a canonical frame construction for determining pro-jectively invariant indexing functions for non-algebraic smooth plane curves. These invariants are semi-local rather than global, which promotes tolerance to occlusion. Two applications are demonstrated. Firstly, we report preliminary work on building a model based recognition system for planar objects. We demonstrate that the invari...

an experimental study is conducted on three ½ scales, single-story, single-bay, frame specimens. the first specimen was a reinforced concrete frame with solid-brick infill. the second specimen was a reinforced concrete frame with hollow clay perforated-brick infill. the last specimen was a reinforced concrete frame without any infill. these three specimens were tested by pseudostatic method. di...

High-repetition-rate, burst-mode lasers can achieve higher energies per pulse compared with continuously pulsed systems, but the relatively few number of laser pulses in each burst has limited the temporal dynamic range of measurements in unsteady flames. A fivefold increase in the range of timescales that can be resolved by burst-mode laser-based imaging systems is reported in this work by ext...

We show that a convex body can pass through a triangular hole iff it can do so by a translation along a line perpendicular to the hole. As an application, we determine the minimum size of an equilateral triangular hole through which a regular tetrahedron with unit edge can pass. The minimum edge length of the hole is (1+ √ 2)/ √ 6 ≈ 0.9856. One of the key facts for the proof is that no triangul...