Expressions for the viscosity correction function, and hence bulk complex impedance, density, compressibility, and propagation constant, are obtained for a rigid frame porous medium whose pores are prismatic with fixed cross-sectional shape, but of variable pore size distribution. The lowand high-frequency behavior of the viscosity correction function is derived for the particular case of a log...

The hemisphere subdivision technique is an importancedriven technique using a triangular adaptive subdivision of a hemisphere in order to guide the rays shot from a patch [17]. The purpose of this technique is to take advantage of the knowledge of an environment in order to optimise the space distribution of rays shot in radiosity algorithms. In this paper, we present a new approach of the hemi...

Talker localization is indispensable in video conferencing. Statistical audio-visual (AV) talker localizers that fuse AV features based on prior statistical property are ideals. However, statistical property must be estimated prior to the AV feature fusion procedure. To overcome this problem, this paper proposes a novel robust and omnidirectional AV talker localizer that dynamically fuses AV fe...

While quantitative analysis of dynamic biological cell motions in vivo is of great biomedical interest, acquiring 3-D (plus time) information is difficult due to the lack of imaging tools with sufficient spatial and temporal resolution. A novel 3-D high-speed microscopic imaging system is developed to enable 3-D time series data acquisition, based on a defocusing technique (DDPIV). Depth coordi...

a r t i c l e i n f o Recent findings in protein structure prediction have revealed a new class of fibrous proteins called beta-solenoids. In stark resemblance to amyloid structures and prion proteins, these self-assembling peptides feature a triangular cross-sectional structure with non-specific biological significance. Using basic geometric and mechanical arguments and finite element simulati...

A set of hybrid microstrip patch and semi-circular cavity antennas is introduced. The semi-circular cavity is implemented using Half-mode Substrate Integrated Waveguide (HMSIW) technique. Different shapes of patch include rectangular, semi-circular and equilateral triangular are excited using proximity effect by the circular SIW cavity at its TM010 mode of operation. The whole structures have b...

It is well-known that the stability problem of relative equilibria in the N-body problem is one the most difficult and intricate one. The solution of such problem in the case of planar circular restricted three-body problem has been fully obtained only after 200 years while the triangular equilateral configuration was discovered in 1772 by Lagrange. Stability analysis in strict nonlinear formul...

A perfect dissection of a polygon P into a polygon P ′ is a decomposition of P into internally disjoint pairwise incongruent polygons all similar to P ′. It is known that there is no perfect dissection of an equilateral triangle into smaller equilateral triangles. On the other hand, an equilateral triangle has trivial perfect dissections into any number n of right triangles where n ≥ 3. We give...

Analytical expressions are demonstrated for fast calculations of time-harmonic and transient near-field pressures generated by triangular pistons. These fast expressions remove singularities from the impulse response, thereby reducing the computation time and the peak numerical error with a general formula that describes the near-field pressure produced by any triangular piston geometry. The ti...