Sentence examples for existing bound from inspiring English sources

The example shows that the bound in Theorem 3.1 is better than the existing bound in Theorem 2 in [6].

In particular, we take advantage of an existing bound on the energy index (see [24]) depending on additional information on the first eigenvalue of the adjacency matrix.

In Section 3.2 we find a tighter alternative upper bound for the HL-index by using the relation with energy index provided in [14] and an existing bound on energy index proposed in [24].

In addition, the performance of the lower bound approaches to that of the existing upper bound, especially at the high SNR.

The most straightforward of these is via "tethering" new functional moieties onto the existing covalently bound compound(s) and keeping the covalent bond in place.

The upper bound frequency solutions derived from the present analysis are shown to improve upon the existing upper bound results in the published literature.

We compare the SOS approach with existing upper bound and rounding techniques for the MAX-2-SAT case of Goemans and Williamson [Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, J. Assoc. Comput. Mach.

The 'integrational' transglycosylation is a wall strengthening function of XTH where a newly synthesized and secreted xyloglucan chain is grafted to existing wall bound xyloglucan.

Stitching these genes into a standard lab strain called PR8 gives researchers an approximation of the actual virus and allows preliminary experiments, for instance to test if existing antibodies bind to the virus.

This is because an ascertainment of the lack of true existence is held to be necessary to counteract the directly opposed notion – the apprehension of true existence which is the misinterpretation of reality (as more than simply conventionally existing) that binds one to suffering.

Can separate existing individuals be bound to each other?