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By introducing the dimensionless variables, Eqs.
By introducing the dimensionless parameters x = X/L, and substituting Eq. 2 into Eq. 1, one obtain (3).
By introducing the dimensionless coupling torques and the characteristics of the corresponding limited functions, the synchronization criterion for three exciters is obtained.
The effects of these operating parameters on the measured global parameters have been taken into account by introducing the dimensionless modified Froude number and correlations have been proposed for this type of impeller.
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The analytical solution to the problem using the eigenvectors method is obtained following the transformation of the equations into a dimensionless form by introducing the following dimensionless variables: q = q * q 0, θ i = ( T i − T C ) k f q 0 r 0 *, r = r * r 0 *, t = α e t * r 0 * 2 (22).
We begin by introducing the replicator dynamics.
Now, we introduce the dimensionless cross section, σ̃=σ i /πa2.
For convenience we introduce the dimensionless acceleration Γ = γ/g with g being the gravitational acceleration.
This section introduces the dimensionless Schrödinger equation, and the basic notions of quantum and classical evolution of mean values of physical observables needed to estimate their difference by the Egorov theorem.
The strain bursts are separated from the loading stage (nearly elastic loading) by introducing a dimensionless constant in the continuum model, and are detected by load serrations.
A criterion to identify the above-mentioned frequency ranges is also proposed by introducing a dimensionless representation of the frequency.
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Justyna Jupowicz-Kozak
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