Sentence examples for main result including from inspiring English sources

Several interesting special cases of our main result including (5) are also explicitly demonstrated.

Our main result includes the moderated version of Theorem 1.1.

Our main result includes many previously known results as special cases.

Our main result includes the Baum and Katz [3] complete convergence and the Marcinkiewicz and Zygmund strong law of large numbers.

The main results including global convergence property and local convergence rate will be discussed in Sect.

In this section, we state the main results, including existence and multiplicity results of positive periodic solutions for problem (1.1).

In this section, we state the main results, including existence and multiplicity of positive solutions for problem (1.1).

The main results, including temperature field, distribution of mass flow rate and coolant pressure drop, have been calculated simultaneously.

Section 4 contains the main results including the SLLN for a such blockwise α-martingale difference field taking values in a p-uniformly smooth Banach space, in which the results of [3, 6, 7] will be generalized.

Based on the cylindrically symmetrical power distribution, the comparisons of the two-dimensional calculations between ATTICA3D and THERMIX indicate, that the main results including pressure drop and temperature distribution show good agreement.

Section 2 is devoted to the introduction of the model and to a brief presentation of the main results, including an expression for the leading correction to the period for the LIF model, to provide evidence that it is typically of the fourth order.