Sentence examples for manifold procedure from inspiring English sources
The bifurcation of the averaged system, obtained using the centre manifold procedure and averaging method, is analyzed.
Based on our recently proposed shape manifold identification procedure, we investigate the identifiability of material properties with instrumented indentation test using diverse indenter shapes (conical/spherical) and simulation setups (prescribed force/displacement).
As a response, manifold control procedures to handle these and other confounding factors have been developed which are widely used and well appreciated [ 32].
All coordinates were centered and oriented with respect to the NMR structure of TC5b (PDB model 1, see Methods) in order to simplify the calculated manifolds, though this procedure is not required, in contrast to PCA [59], [60].
This warrants some structural changes in the proposed manifold, but the solution procedure remains the same.
The outlet header is divided into four basic combining flow manifolds and an iterative procedure has been adopted to satisfy the flow and pressure conditions at each junction point between two successive manifolds by solving the pressure-flow equation set for each manifold.
To develop an effective procedure for describing manifold tangencies, an automative process for describing the invariant manifolds involved is required.
The model parameters learned by the MFA make this feasible by constraining the inversion procedure to the manifold.
Therefore, it is necessary to develop an new design procedure for subsea manifold piping systems with complicated shapes capable of sustaining erosion inside the piping system.
It was demonstrated that the designed manifold enabled to perform GCS procedure with very good precision, in short time and with very low standard, sample and reagent consumption.
This "direct" approach, combining the normal form theory with center manifold theory in one unified procedure, can be used to systematically compute the simplest (or unique) normal form.
