A Bayesian belief network models a joint distribution with an directed acyclic graph representing dependencies among variables and network parameters characterizing conditional distributions. The parameters are viewed as random variables to quantify uncertainty about their values. Belief nets are used to compute responses to queries; i.e., conditional probabilities of interest. A query is a fun...

the effects of high temperature homogenization and low temperature annealing treatments on the microstructure and magnetic properties of sintered magnets of an nd17fe76.5b5cu1.5 type alloy have been investigated. the microstructure of the as-cast alloy, consisted of three phases including a nd2fe14b1 (2:14:1- type) matrix phase cu-containing nd-rich phase and free α-iron. the as-sintered magnet...

Erosion caused by sand transportation in flow changing devices is a serious concern in the hydrocarbon and mineral processing industry, which entail to failure and malfunction of flow devices. In this study, computational fluid dynamics (CFD) with discrete phase models (DPM) were employed for analysis of carbon steel long radius 90-Degree elbow erosion due to the sand concentration of 2, 5 and ...

The probable lack of some arcs and nodes in the stochastic networks is considered in this paper, and its effect is shown as the arrival probability from a given source node to a given sink node. A discrete time Markov chain with an absorbing state is established in a directed acyclic network. Then, the probability of transition from the initial state to the absorbing state is computed. It is as...

In 2001, Davies, Gladwell, Leydold, and Stadler proved discrete nodal domain theorems for eigenfunctions of generalized Laplacians, i.e., symmetric matrices with non-positive off-diagonal entries. this paper, we establish arbitrary by exploring the induced signed graph structure. Our concepts domains any function on a are switching invariant. When is balanced, our definitions upper bound estima...

In this paper we study a Geo/T-IPH/1 queue model, where T-IPH denotes the discrete time phase type distribution defined on a birth-and-death process with countably many states. The queue model can be described by a quasi-birth-anddeath (QBD) process with countably phases. Using the operator-geometric solution method, we first give the expression of the operator and the joint stationary distribu...

We propose algorithms that use Markov chain techniques to generate acyclic automata uniformly at random. We first consider deterministic, accessible and acyclic automata, then focus on the class of minimal acyclic automata. In each case we explain how to define random local transformations that describe an ergodic and symmetric Markov chain: the distribution of the automaton obtained after T ra...

Stanley, R.P., A combinatorial decomposition of acyclic simplicial complexes, Discrete Mathematics 120 (1993) 175-182. It is proved that if d is a finite acyclic simplicial complex, then there is a subcomplex d’ c d and a bijection q:d’+d-d’ such that Fcq(F) and /q(F)-FJ=l for all FEN’. This improves an earlier result of Kalai. An immediate corollary is a characterization (first due to Kalai) o...