Sentence examples for transform with time from inspiring English sources

This suggests that the cartilage that forms initially is often more fibrocartilaginous but may transform with time to remodel to form hyaline cartilage, possibly in response to loading.

It was suggested that the outer, younger, early secretory enamel contained a transient disordered ACP phase, which transformed with time into the final apatitic crystalline mineral [17].

As a result, it is shown how a two-dimensional problem is transformed with time into a quasi-one-dimensional one and how a layer traps the source energy.

A signature is supposed to be proof of identity and yet it changes and transforms with time.

These transmitted signals are transformed into samples in time domain through the discrete inverse Fourier transform with sampling time.

The model equations are analytically solved by using the Laplace transform with respect to time.

Applying the Laplace transform with respect to time variable to (2.18), we find (2.21).

The initial boundary-value problem is transformed to a series of boundary-value problems for elliptic equations via the integral Laguerre transform with respect to time.

The Laplace transform with respect to time t and the finite sin-Fourier transform with respect to the spatial coordinate x have been used.

Governing equations are solved by applying the methods of the Laplace transform with respect to time and the Fourier transform with respect to a longitudinal space variable.

Taking inverse Laplace transform with respect to time and space variables, we obtain where the function is defined by formula (2.8).