Sentence examples similar to three dimensional function from inspiring English sources

Plenoptic function is a seven dimensional function.

A projection of the two dimensional function f x, y) was a set of line integrals as shown in Fig. 5.

For obtaining the above upper bound, the mean value theorem is used as explained below for a two dimensional function, which can easily be generalized to any n-dimensional function.

Three-dimensional diffraction potential and radiation potential associating with the motion of the floating body are utilized, and an efficient three dimensional Green function is implemented to solve the radiation-diffraction problem.

This leads to the definition of a three dimensional membership function (MF), a T2 MF, which characterizes a T2 fuzzy set (FS).

Moreover, the realistic three dimensional scattering functions S contain energy and momentum conserving delta functions which greatly reduce the relevant momentum space to a subdomain of the Brillouin zone, and prefactors which are usually rational or with 'good' properties as functions of the momenta.

For example, in canonical quantizations of gravity one isolates and then quantizes geometrical quantities (roughly the intrinsic and extrinsic curvature of three dimensional space) functioning as the position and momentum variables.

Hence modification of model via the removal of this interaction using backward elimination strategy improved the model (Equation 1). Figure 3A represents the three dimensional plot as function of temperature and inoculum size on lipase activity.

Figure 3 shows the three dimensional plots as function of time, temperature and interaction on wax ester synthesis at substrate molar ratio 1 3 and amount of enzyme of 1.50%.

We show that the natural quadrature approach with usual discrete delta functions and support size formulas to the two dimensional delta function integrals suffer from nonconvergence.

The non-linear strain displacement relations of the model are derived based on the general thin shell theory, and a numerical method for analysing the free vibrations of curved and twisted cylindrical thin panels is presented by means of the principle of virtual work for the free vibration using the Rayleigh Ritz method, assuming two dimensional polynomial functions as displacement functions.