Sentence examples for functions is established from inspiring English sources

In this paper, an affine Orlicz Pólya Szegö principle for log-concave functions is established by using functional Steiner symmetrizations.

In this paper, a theory of generalized functions is established on an arbitrary abstract Wiener space.

In addition, a brand-new mixed formalism (mixed use of displacements and stresses as basic functions) is established to compensate the displacement formalism.

In this paper, a general solution for three-dimensional transversely isotropic piezoelectricity in terms of four quasi-quadri-harmonic functions is established first.

The well-posedness of this problem in spaces of smooth functions is established.

Optimal solutions are derived and convexity of the cost functions is established.

According to the systemic functional theory, three social functions are established within any context of language use, known as field, tenor and mode.

Then, the nonlinear complex equations containing the coefficients for conformal mapping functions are established.

Cell clones with inducible expression of high liver functions were established.

A new integral algorithm for the integral of trigonometric functions was established.

The compressive strengths at certain curing temperatures were plotted against the curing age, and correlation functions were established.