Sentence examples for by performing a dimensional from inspiring English sources

We derive a large-strain plate model that allows to describe transient, coupled processes involving elasticity and solvent migration, by performing a dimensional reduction of a three-dimensional poroelastic theory.

The application feasibility of the simplified model is verified by performing a two-dimensional finite element analysis.

Combustion-driven acoustic oscillations are investigated by performing a one-dimensional stability analysis of a burner-stabilized premixed flame.

By performing a one-dimensional search over [τ lb,τ ub ], the optimal τ ⋆ which maximizes the objective function in (31) could be found.

By performing a three-dimensional (3D) particle-in-cell (PIC) simulation, Pritchett (2005) demonstrated that the convective electric field locally induced as a boundary condition decrements the normal field as well as the thickness of the CS locally, and once the location satisfies the growth condition kρ e>1, tearing instability appears and develops into magnetic reconnection.

After that, we are able to find the optimal solution by performing a one-dimensional search on T. Defining y i ≜ 1 + T − x i 1 + T, the corresponding problem becomes min y ∏ i = 1 M y i = min y f ( y ), subject to : ∀ i, max 1 + T − l i 1 + T, 0 ≤ y i ≤ 1 − φ ∑ i = 1 M y i = M − T 1 + T, 0 ≤ T ≤ X max (8).

In addition, SST gradients were calculated by performing a two-dimensional convolution on the GOM bathymetry grid with a 3×3 Sobel filter [23], [24].

We can describe the motion energy used as an input to these models by performing a three-dimensional Fourier analysis (i.e., a Fourier analysis in x, y, t space) of the image cube, created by decomposing the movie in Figure S1 into a stack of still images (we extracted the still images from the movie with the aid of a Flash-Video converter, MacVide).

A 3D image can be reconstructed by performing a one-dimensional depth scan using the processing interferometer.

Tumour volumes were measured by performing a three-dimensional thresholding based VOI analysis in all patients for MET-PET uptake and contrast-enhanced lesions on MRI, respectively, using the VINCI tool, developed in-house [ 23].

Phase scrambling was achieved by performing a two-dimensional (2D) Fourier transform of each of the images, removing the phase information and replacing it with the corresponding phases taken from a white noise image of equal size to the original stimulus, and then performing the inverse Fourier transform to create the scrambled image.