We consider two natural problems arising in geometry which are equivalent to the local solvability of specific equations of Monge-Ampère type. These two problems are: the local isometric embedding problem for two-dimensional Riemannian manifolds, and the problem of locally prescribed Gaussian curvature for surfaces in R3 . We prove a general local existence result for a large class of Monge-Amp...

In this paper, an algorithm for detecting and attenuating puff noises frequently generated under the mobile environment is proposed. As a baseline system, puff detection system is designed based on Gaussian Mixture Model (GMM), and 39th Mel Frequency Cepstral Coefficient (MFCC) is extracted as feature parameters. To improve the detection performance, effective acoustic features for puff detecti...

-The detection of dominant points is an important preprocessing step for shape recognition. An effective method of scale-space filtering with a Gaussian kernel is introduced to detect dominant points on digital curves. The conventional polygonal approximation algorithms are time-consuming and need input parameter tuning for Gaussian smoothing the noise and quantization error, also they are sens...

We apply Bayesian inference to analyze three-bond scalar coupling constants in an objective and consistent way. The Karplus curve and a Gaussian error law are used to model scalar coupling measurements. By applying Bayes' theorem, we obtain a probability distribution for all unknowns, i.e., the torsion angles, the Karplus parameters, and the standard deviation of the Gaussian. We infer all thes...

Making suitable generalizations of known results we prove some general facts about Gaussian maps. The above are then used, in the second part of the article, to give a set of conditions that insure the surjectivity of Gaussian maps for curves on Enriques surfaces. To do this we also solve a problem of independent interest: a tetragonal curve of genus g ≥ 7 lying on an Enriques surface and gener...

Except for a few simple digital modulation techniques, derivation of average bit error probability over fading channels is difficult and is an involved process. In this letter, curve fitting technique has been employed to express bit error probability over AWGN of any digital modulation scheme in terms of a simple Gaussian function. Using this Gaussian function, a generalized closed form expres...

We extend the l2(Lp) decoupling theorem of Bourgain-Demeter to full class developable surfaces in R3. This completes l2 theory zero Gaussian curvature that lack planar (or umbilic) points. Of central interest our study is tangent surface associated moment curve.

This paper proposes three tests to determine whether a given nonlinear device noise model is in agreement with accepted thermodynamic principles. These tests are applied to several models. One conclusion is that the standard Gaussian noise models for nonlinear devices predict thermodynamically impossible circuit behavior: those models should be abandoned. But the nonlinear shot-noise model pred...

Under the assumption that we have defining equations of an affine algebraic curve in special position with respect to a rational place Q, we propose an algorithm computing a basis of L(D) of a divisor D from an ideal basis of the ideal L(D +∞Q) of the affine coordinate ring L(∞Q) of the given algebraic curve, where L(D+∞Q) := S∞ i=1 L(D+ iQ). Elements in the basis produced by our algorithm have...