We study the problem of properly learning unions of two axis parallel rectangles over the domain f n g in the on line model with equivalence queries When only O log n equivalence queries are allowed this problem is one of the ve interesting open problems proposed in regarding learning geometric concepts In this paper we design an e cient algorithm that properly learns unions of two rectangles o...

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f satisfying the conditions that zf (z)/f(z) and zg(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known ...

The vertebrate hypothalamus–pituitary–adrenal (HPA; or interrenal) axis plays pivotal roles in animal development and in physiological and behavioral adaptation to environmental change. The HPA, or stress axis, is organized in a hierarchical manner, with feedback operating at several points along the axis. Recent findings suggest that the proteins, gene structures, and signaling pathways of the...

The vertebrate hypothalamus-pituitary-adrenal (HPA; or interrenal) axis plays pivotal roles in animal development and in physiological and behavioral adaptation to environmental change. The HPA, or stress axis, is organized in a hierarchical manner, with feedback operating at several points along the axis. Recent findings suggest that the proteins, gene structures, and signaling pathways of the...

Pair microstructure of concentrated Brownian suspensions in simple-shear flow is studied by sampling of configurations from dynamic simulations by the Stokesian Dynamics technique. Simulated motions are three dimensional with periodic boundary conditions to mimic an infinitely extended suspension. Hydrodynamic interactions through Newtonian fluid and Brownian motion are the only physical influe...

We study the 2-loop resummed propagator in hot g 2 φ 4 theory. The propa-gator has a cut along the whole real axis in the complex energy plane, but for small g, the spectral density is sharply peaked around the plasmon. The dispersion relation and the width of the plasmon are calculated at zero and finite momentum. At large momenta the spectral width vanishes, and the plasmon looses its collect...

The boxicity of a graph G is defined as the minimum integer k such that G is an intersection graph of axis-parallel k-dimensional boxes. Chordal bipartite graphs are bipartite graphs that do not contain an induced cycle of length greater than 4. It was conjectured by Otachi, Okamoto and Yamazaki that chordal bipartite graphs have boxicity at most 2. We disprove this conjecture by exhibiting an ...

Gastrin-secreting enteroendocrine cells (G cells) in the antrum play an important role in the regulation of gastric secretion, gastric motility and mucosal cell proliferation. Recently we have uncovered the existence of two subpopulations of G cells with pivotally different morphology and a distinct localization in the antral invaginations; the functional implications of the different G cell ty...

Centrifugal-like potentials V (r) ∼ G/r 2 + O(1) may be regularized by a small shift r = x − i ε of the real axis. This enables us to study the (real) energy levels in the potentials V (r) = r 10 + a r 8 + b r 6 + c r 4 + d r 2 + G/r 2. We show that for certain couplings the exact and elementary N−plets of bound states may be constructed at any predetermined N.

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f−1 satisfying the conditions that zf ′(z)/f(z) and zg′(z)/g(z) are both subordinate to a starlike univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier kn...