Sentence examples for involve functions of from inspiring English sources

It is found that the elements of the Kalman estimator's steady state gain and error covariance matrices are functions of the golden ratio, and, under certain assumptions on the noise variance and the initial-state error covariance, that the recursion relations for the elements of the a priori error covariance matrix involve functions of the Fibonacci numbers.

Release of cytochrome c is regulated by various mechanisms, which involve function of several pro- and anti-apoptotic members from Bcl-2 family proteins.

We establish some new Opial-type inequalities involving functions of two and many independent variables.

Inequalities involving functions of two or more independent variables play fundamental role in the continuous development of the theory, methods and applications of differential and integral equations.

It is well known that the integral inequalities involving functions of one and more than one independent variables which provide explicit bounds on unknown functions play a fundamental role in the development of the theory of differential equations.

Note that Equation 95 is the well-known form of the solution of the integral equation (Equation 76), obtainable by using the theory of Riemann-Hilbert problems involving functions of a complex variable.

Inequalities involving functions of n independent variables, their partial derivatives, integrals play a fundamental role in establishing the existence and uniqueness of initial and boundary value problems for ordinary and partial differential equations as well as difference equations [1 10].

In this article, we establish some new generalized Ostrowski type inequalities on time scales involving functions of two independent variables for k2 points, which unify continuous and discrete analysis.

One consequence is that the CIFs are involved functions of all CSHs via P (T > u-).

PDEs are used to formulate problems involving functions of multiple variables.

Other examples involving functions F of the form (1.3) have been proved by Ando and Hiai [2].