Sentence examples for determined a theorem from inspiring English sources

In 2016, Sonker and Munjal [12] determined a theorem on generalized absolute Cesáro summability with the sufficient conditions for an infinite series and in [13], they used the concept of triangle matrices for obtaining the minimal set of sufficient conditions of an infinite series to be bounded.

Now, we are ready to determine a coupled coincidence theorem for compatible mappings in partially ordered intuitionistic generalized fuzzy metric spaces.

The Hajós' Theorem determines a set of operations that we can use to obtain, from a complete graph with (k) vertices, all (k -chromatic graphs, including the (k -chromaticones.

In this theory, complex structures correspond to closed such forms which, by Dolbeault's theorem, determine a cohomology class in (H^1 ( Theta _Y)), where ( Theta _Y) is the sheaf of holomorphic sections of the holomorphic tangent bundle (TY^{1,0}).

Theorem 9 (Determining a zero).

Online lists of Carmichael numbers can be extremely useful when using Fermat's Little Theorem to determine a number's primality.

Now it is sufficient to replace K by its value determined by Theorem 2 (Equation (13)).

This is equivalent to optimally allocating the available transmit power over the optimized transmit eigen-directions that are determined by Theorem 1.

Similarly, we can choose another presupposed initial error tolerance (delta=0.011) such that (s'=-35) and (x_{0}=0.15) are determined, which satisfy Theorem 3.3, too.

The different conditions for eigenvalues to have zero real part, as determined in Theorems 5 and 6, are displayed in the ( k 1, k 2 ) -plane in Figure 2. Due to the sine terms in the denominators of h + and h −, these functions consist of numerous branches separated by asymptotes.

Theorem 2 helps in determining an effective lower bound for an arbitrary wireless network with constraints of co-channel interference and energy replenishment.