Due to the existing of various kinds of uncertainties, predicting structural performance is always a great challenge in practical applications. The reliability of structure under the probabilistic uncertainty has been well studied in the past decade. However, the randomness is not the only attribute of reality. This paper attempts to investigate approach for the structural reliability analysis ...

The probability distribution of a Markov chain is viewed as the information state of an additive optimization problem. This optimization problem is then generalized to a product form whose information state gives rise to a generalized notion of probability distribution for Markov chains. The evolution and the asymptotic behavior of this generalized or “risk-sensitive” probability distribution i...

This paper gives necessary and sufficient conditions for the (n-dimensional) generalized free rigid body to be in a state of relative equilibrium. The conditions generalize those for the case of the three-dimensional free rigid body, namely that the body is in relative equilibrium if and only if its angular velocity and angular momentum align, that is, if the body rotates about one of its princ...

In this paper, we generalize a boundary state to the one incorporating nonconstant gauge field strength as an external background coupled to the boundary of a string worldsheet in bosonic string theory. This newly defined boundary state satisfies generalized nonlinear boundary conditions with non-constant gauge field strength, and is BRST invariant. The divergence immanent in this boundary stat...

In this paper, based on the switching-cell approach, a generalized steady state analysis for families of soft-switching dc-todc converters will be presented. Complete generalized design equations will also be given. The concept of generalization and step by step procedure for the generalized process are discussed and applied to selected soft-switching families such as ZVS-QRC, ZCSQRC, QSW-CC, Q...

The square-root information filter and smoother algorithms have been generalized to handle singular state transition matrices and perfect measurements. This has been done to allow the use of SRIF techniques for problems with delays and state constraints. The generalized algorithms use complete QR factorization to isolate deterministically known parts of the state and nonsingular parts of the st...

the present study examined the effect of grouped meta-cognitive therapy on meta-cognitive beliefs of patients' anxieties suffering from generalized anxiety disorder. this research is a quasi-experimental with pre-test and post-test design with control group in which two groups of experiment and control are used. the present study population includes all state universities, islamic azad uni...