Sentence examples for is a particular instance from inspiring English sources

Finally, we note that the construction of a minimal surface (with zero mean curvature) from a prescribed geodesic is a particular instance of a classical problem in differential geometry, already solved by Björling.

The Dziok-Srivastava linear operator is a particular instance of a linear operator defined by convolution.

Interesting enough, Theorem 1.2 possesses a proof in [12] that makes use of q-series transformations only, while Theorem 1.1 is a particular instance of a much more general result whose proof uses a machinery of mock theta functions [13].

There is a particular instance where (1.9) has a simpler expression: assume that there exists a family ((g_i)_{iin mathbb {I}}) in G(H) such that (delta (x_i) = g_i otimes x_i), for every (i in mathbb {I}).

It is a particular instance of d-privacy, an extension of differential privacy to arbitrary metric domains, obtained by replacing the Hamming distance, implicit in the definition of differential privacy with the intended distance namely the geographical distance in our case.

Traffic intensity for calls of particular classes is defined by Formula 4. The EIG group is a particular instance of a non-full-availability groups [14, 29] that was defined by Erlang for a single-service case as early as in the beginning of the twentieth century [30].

This was a particular instance of his broad emphasis on the urgency of considering questions of the economy, climate, health, and culture from the perspective of the impoverished global majority.

The concerns raised with the use of PVs appear to be a particular instance of a general problem treated by Meng (1994).

Although it is true that real social network structures must be a particular instance of all possible synthetic cases, instead of exploring the myriad of possibilities within the model space, it seems more convenient to use real social networks to get insight as to which structural features one should look at for advancing in the understanding of the evolution of cooperation.

Such methods become intractable even for small models, and since Boolean networks are a particular instance of Qualitative networks, our symbolic algorithm can be directly applied to this problem.

For instance, it is a particular case of Theorem 3.3 and [[26], Theorem 3].