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This happens thanks to the associative behavior of the operators X, R, L in basic adaptive discretizations.
The following lemma describes the behavior of the operators A ϵ ( t ) − 1 as ϵ → 0. Lemma 3.2 Let { f ϵ } be a bounded family in L 2.
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Let Dλ:f(t)↦f λt) be the dilation operator, and we consider the behavior of the operator norm ∥Dλ∥Mp,q→Mp,q with respect to λ.
The performance and behavior of the operator-split scheme are assessed based on simulations of two industrial chemical processes (i.e. the synthesis gas and methanol production processes) performed in multi-tube fixed bed reactors.
In this work, a novel attempt is made to understand the behavior of the operator in a typical chemical plant control room using the information obtained from eye tracker.
Comparisons are made between the behavior of the operator in the frequency and physical domains; and the amplification in the frequency domain matches the value of extrema generated by the interpolation.
The performance and behavior of the operator-split scheme are first analyzed based on tests for a nonlinear reaction diffusion equation in one space dimension, followed by computations with a detailed C1C2 methane air mechanism in one and two dimensions.
This is usually the result of poor behavior of the operator or the AV technology.
It is shown in [3] that two conditions about the weak closure of a certain set consisting of normalized vectors and the asymptotic behavior of the operator C at infinity of λ, called normalized conditions, are main ingredients in solving an eigenvalue problem.
As already noticed when commenting on the definition of the Z-conjunction operator, the underlying logic governing the behavior of the above operators is not classical, but belongs to a family of non-classical resource-aware systems, called "substructural logics", which have received a good deal of attention in the field of computational logic [24], [25].
In the end, we develop two approaches for multiple attribute group decision making with dual hesitant fuzzy information, and illustrate a real world example to show the behavior of the proposed operators.
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