By employing the method of dimensional expanding, the non-homogeneous ordinary differential equations (ODEs) can be transformed into homogeneous ones and then the original PTI algorithms can be applied directly to the TPBVP.
This paper describes a new design and fabrication concept that each gore forms three-dimensional expanded shape with a small circumferential radius without elongation of the film by pressure.
Although the pulse volume evolution does not necessarily correlate linearly with the expansion of the gas volume, we hypothesized that the projected area A in a vertical plane at right angles to the viewing angle of a three-dimensional expanding ash column can be used to follow the initial expansion dynamics of the pulse.
If quantum transactions are multi-dimensional, expanding beyond linear time, they also expand the usual notions of cause and effect, not to mention space and everything that interacts in space.
In the well-designed three dimensional structure, expanded graphite works as a conductive matrix to support Al particles coated by carbon.
Our procedure for representing input variables on the two-dimensional subspace expanded by the two main eigenvectors of C ˜, displays the variables as vectors whose direction is the direction of maximum growth of the variable at a given point; in particular, at the sample points.
To obtain two dimensional images, expanding spiral scanning patterns are imposed on the fiber cantilever by using sinusoidal driving voltages with linearly varying amplitudes, which are generated by an arbitrary function generator (AFG3022B, Tektronics) and amplified by piezo driver modules (E-835, Physik Instrumente).
To investigate the effect of liner hard-splices on acoustic radiation and propagation, a boundary integral equation method (BIEM) in two-dimensional (2D) is expanded into a three-dimensional form.
To address these effects, the methods of prior one-dimensional models are expanded to capture the stress intensification associated with multi-dimensional behavior.
Three-dimensional printing has expanded the possibilities of biomedical engineering and has enabled the fabrication of a myriad of platforms for an extensive variety of applications.
Recent development of improved tools and methods to analyse tissues at the three-dimensional level has expanded our capacity to investigate morphogenesis of foetal liver.
