Sentence examples for corresponding existing from inspiring English sources

Now, we present a non-trivial example which shows the generality of Corollary 16 over the corresponding existing theorems.

We show how they are also guaranteed to asymptotically converge to the same solution as the corresponding existing centralized algorithms.

Moreover, we have constructed examples to show that our new condition is different from the corresponding existing conditions in the literature.

The proposed bit-parallel multiplier over GF(24m) is found to offer a saving of about 33% multiplications and 42.8% additions over the corresponding existing architectures.

Our multipliers save about 19% space complexity as compared to traditional multipliers, and involve nearly half of the time-complexity of the corresponding existing design.

Hence, all fixed point results in the context of multiplicative metric spaces can easily be concluded from the corresponding existing famous fixed point results in the context of the standard metric.

Our results improve and extend the corresponding results existing in the literature.

Those results obtained in this paper extend and generalize the corresponding results existing in previous literature.

Our work improves and generalizes the corresponding results existing in the literature for uniformly convex Banach spaces.

Some explicit and conclusive results are established, which are natural extension and generalization of the corresponding results existing in the literature.

Therefore, characteristic equations corresponding to existing state transitions are invariant under additional information in don't care condition.