Sentence examples for functions is obtained from inspiring English sources
A parameterization of the minimal weak unitary Hilbert space dilations of a given continuous bicontractive operator on a Kreĭn space by means of operator-valued Schur functions is obtained from the Arov Grossman functional model.
Explicit form of these functions is obtained after calculating an explicit action of functionals on a given family.
An accurate approximated explicit decision functions is obtained with a reduced number of function evaluations.
First, an analytical solution for frequency response functions is obtained using a direct method.
To quantify the violacein production, a division of functions is obtained.
Consequently, a second-order characterization for convex vector functions is obtained.
Three biorthogonality formulas concerning the wave wrap functions are obtained.
The mobility functions were obtained in the following sequence.
Other integral inequalities for two functions are obtained as well.
These six functions are obtained from fits with experimental data.
The other derivatives (and the functions) are obtained through integrations.
