We present a sharp boundary electrocardiac simulation model based on the finite volume embedded boundary method for the solution of voltage dynamics in irregular domains with anisotropy and a high degree of anatomical detail. This method is second order accurate uniformly up to boundaries and is able to resolve small features without the use of fine meshes. This capability is necessary to enabl...

We establish the descriptive set theoretic representation of the mouse M n , which is called 0(n+1)#. This part deals with the case n ≤ 3.

In this work, the optical absorption near the fundamental absorption edge of co-evaporated Ce0 -V20 films is studied. It is found that the fundamental optical absorption in these materials is sharp more like that expected for crystals. It is also found that as the V O content increases, the edge becomes less sharp and shifts towards higher wavelengths

For trigonometric polynomials on [− , ] ≡ T , the classical Jackson inequalityEn(f )p C r (f, 1/n)p was sharpened by M. Timan for 1<p<∞ to yield n−r { n ∑ k=1 ksr−1Ek(f )p }1/s C r (f, n−1)p where s =max(p, 2). In this paper a general result on the relations between systems or sequences of best approximation and appropriate measures of smoothness is given. Approximation by algebraic polynomials...

This paper describes the Sharp Intelligent Dictionary (SID), an English-Japanese glossing system for Japanese readers and learners of English. SID uses a variety of lightweight analysis techniques, a large bilingual dictionary and a prioritised model of collocations to present informed guesses about the best translations of words and expressions in their context.

We prove sharp Morawetz estimates – global in time with a singular weight in the spatial variables – for the linear wave, Klein–Gordon and Schrödinger equations, for which we can characterise the maximisers. We also prove refined inequalities with respect to the angular integrability.

This paper describes sharp inequalities for the trace of Sobolev functions on the boundary of a bounded region Ω ⊂ R . The inequalities bound (semi-)norms of the boundary trace by certain norms of the function and its gradient on the region and two specific constants kρ and kΩ associated with the domain and a weight function. These inequalities are sharp in that there are functions for which eq...

We establish the descriptive set theoretic representation of the mouse M n , which is called 0(n+1)#. This part deals with the case n > 3.

Measurement of discharge in open channels is one of the main concerns in hydraulic engineering. The structures used for this aim should be accurate, economical and easy to use. Weirs are among the oldest and most convenient hydraulic structures that have been used in both laboratory and field for flow measurement in open channels. Due to limitations of simple sharp crested weirs, recently compo...