In this paper, invariant submanifolds of a nearly trans-Sasakian manifold are studied. Necessary and sufficient conditions are given to make a submanifold of a nearly trans-Sasakian manifold an ...invariant submanifold. Moreover, further properties of an invariant submanifolds of a nearly trans-Sasakian manifold are given.
In this paper, we correct the example in the paper “Some classes of Kenmotsu manifolds with respect to semisymmetric metric connection" Acta Mathematica Sinica, English Series, Vol.29 ,No.7, ...1311-1322, July 2013.
In capital intensive semiconductor manufacturing processes it is often impractical to run large designed experiments and the amount of experimental data available is often not adequate to build ...sufficiently accurate statistical models or reliably estimating optimal conditions. This paper presents a new Bayesian predictive approach, referred to as the Bayesian adaptive design of experiments, for sequential design of experiments that aims to combine experimentation and optimization stages in order to start production more quickly with a small amount of process data. A dual control approach that simultaneously considers model estimation and optimization objectives is adopted and an adaptive Bayesian response surface model is used. It is shown that the optimal solution of the experimental settings can be determined either numerically for the case of a general second-order model or in analytical closed-form for the case of a first-order model. The effectiveness of the approach is illustrated with a simulation example and a real semiconductor process data taken from the literature. It is shown that by employing the proposed adaptive Bayesian approach one can simultaneously learn the process while not requiring excessive perturbations away from the target level and can achieve faster model estimation than central composite experimental designs. The learning weight used in the dual cost function allows one to tune the relative weights of learning and control goals depending on the uncertainty about the process model.
Model Context Selection for Run-to-Run Control Vanli, O.A.; Patel, N.S.; Janakiram, M. ...
IEEE transactions on semiconductor manufacturing,
11/2007, Letnik:
20, Številka:
4
Journal Article
Recenzirano
In the design of run-to-run controllers one is usually faced with the problem of selecting a model structure that best explains the variability in the data. The variable selection problem often ...becomes more complex when there are large numbers of candidate variables and the usual regression modeling assumptions are not satisfied. This paper proposes a model selection approach that uses ideas from the statistical linear models and stepwise regression literature to identify the context variables that contribute most to the autocorrelation and to the offsets in the data. A simulation example and an application to lithography alignment control are presented to illustrate the approach.
In this paper we show that the natural fibrations on 3-Sasakian
manifolds and on normal complex contact metric manifolds are
minima of the corrected energy of the corresponding distributions.
In this paper, we study conharmonic curvature tensor in Kenmotsu manifolds with respect to semi-symmetric metric connection and also characterize conharmonically flat, conharmonically semisymmetric ...and Ф-conharmonically flat Kenmotsu manifolds with respect to semi-symmetric metric connection.
In the present paper we study the properties of α-cosymplectic manifolds endowed with *-conformal η-Ricci solitons and gradient *-conformal η-Ricci solitons.
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