The phrase "analysis of the three dimensional" is correct and usable in written English.
It can be used in contexts where you are discussing the examination or study of three-dimensional objects, concepts, or data.
Example: "The analysis of the three dimensional aspects of the sculpture revealed intricate details that were not visible from a single viewpoint."
Alternatives: "examination of the three-dimensional" or "study of the three-dimensional".
This paper presents an analysis of the two dimensional flow using commercial CFD software over a marine current turbine blade.
It follows from an analysis of the two dimensional model for an empty tubular reactor that the dimensionless temperature gradient at the wall in the presence of reaction differs from that without reaction.
Therefore, in this work we investigate the scaling capability of Double Gate (DG) and Gate All Around (GAA) MOSFETs using an analytical analysis of the two dimensional Poisson equation in which the hot-carrier induced interface charge effects have been considered.
In Section 2, we give an analysis of the two dimensional problem and prove the Fréchet-differentiability of (J omega)).
A simplified numerical analysis of the two dimensional cluster is depicted in Figure 3D.
XRD Data Analysis: FIT2D[ 36] and custom written Python based codes were used for the analysis of the two dimensional XRD patterns.
The novelty of the present analysis is that the three dimensional fractional derivative model (FDM) of the constrained viscoelastic layer has been derived in time domain.
In this study, a computer program has been developed using the rigid diaphragm model for the three dimensional analysis of reinforced concrete frames with cracked beam and column elements.
It has been successfully used in the three dimensional analysis of a long-span cable-stayed bridge with thousands of degrees of freedom and dozens of supports, to give numerical results which are compared with those computed by the response spectrum and time history methods.
Alternatively, PS-OCT enables the three dimensional analysis of birefringence due to collagen fibers and has a wide transversal measurement area.
