Sentence examples for behavior of the operator from inspiring English sources

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.

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.

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.

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.

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 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.

Needless to say, the behavior of this operator is to a large degree governed by the decay rate of its eigenvalues.

The main idea in obtaining our bifurcation result is to study the asymptotic behavior of the integral operator J and then to deduce a spectral result for operators that are not necessarily homogeneous.