Sentence examples for intermediate derivative from inspiring English sources

These findings are in agreement with the observed disappearance of intact prodrug and concomitant appearance of the corresponding phosphoramidate intermediate derivative in CEM cell extracts without measurable formation of araU monophosphate.

Next, the nitro groups were electrochemically reduced to amines followed by activation with glutaraldehyde to give a stable intermediate derivative that covalently binds antibodies against OTA during the second step, thereby tailoring an immunosensor for ochratoxin A. The utility of the electrochemical immunosensor for a competitive immunoassay was demonstrated.

Besides, the estimates for the norms of intermediate derivative operators in a Sobolev-type space are obtained, and their close relationship with the solvability conditions is established.

Note that the method offered in [23, 36] and later developed in [31] to calculate the exact values of the norms of intermediate derivative operators is not directly applicable in our case.

To achieve this purpose, we use the estimates for the norms of intermediate derivative operators by the norm of an operator generated by the principal part of the considered equation and the given boundary conditions.

Inequalities estimating the norm of an intermediate derivative of a function in terms of the norm of the function itself and the norm of its higher-order derivative (inequalities of Kolmogorov type) are important in many areas of mathematics and its applications.

Because the operators of the intermediate derivatives (237).

then, from the theorem on intermediate derivatives [3 5], and from (2.16), we get (217).

The theorem on intermediate derivatives [3 5] can be used to obtain the last inequality, with the inequality (213).

An interesting fact concerning the two cases α = 0, 1 of (40) is that when looking for bounds on intermediate derivatives, potentials can be replaced by maximal operators.

Consider the following subspaces of W 2 3 ( R + ; H ) : By the theorem on intermediate derivatives, both of these spaces are complete [3].