We propose a well-posed Maxwell-type boundary condition for the linear moment system in half-space. As reduction of Boltzmann equation, equations are available to model Knudsen layers near solid wall, where proper conditions should be prescribed. Utilizing an orthogonal decomposition, we separate part with damping term from and then impose new class on it. Due condition, show that half-space va...

Moment invariants are invariant under shifting, scaling and rotation. They are widely used in pattern recognition because of their discrimination power and robustness. HMM method is a natural and highly reliable way of recognition. In this paper, we have proposed a method of using moment invariants as features and HMM as recognition method in facial expression recognition. Sequences of four uni...

This letter is concerned with solving continuous-discrete Gaussian smoothing problems by using the Taylor moment expansion (TME) scheme. In proposed method, we apply TME method to approximate transition density of stochastic differential equation in dynamic model. Furthermore, derive a theoretical error bound (in mean square sense) estimates showing that smoother stable under weak assumptions. ...

this paper is about discrete sensitivity analysis. a triangular bending element with constant moment and six degrees of freedom is used. the required derivatives for sensitivity analysis are calculated explicitly. these formulations, finite element method and sequential linear programming are utilized to find shape optimization of plate bending structures. the numerical examples, which show the...

A transparent argument is used to study the structure of the set of numbers representable as ax + by, with x, y ≥ 0. Moment sums of representable numbers are evaluated in terms of Bernoulli numbers.

Our work is motivated by the need for tractable stochastic models for complex network and system dynamics. With this motivation in mind, we develop a class of discrete-time Markov models, called moment-linear stochastic systems (MLSS), which are structured so that moments and cross-moments of the state variables can be computed efficiently, using linear recursions. We show that MLSS provide a c...