The application is a generalization of image correlation; we attempt to find the optimal gruence which matches two overlapping gray scale images corrupted with noise.
The second application is a generalization of the well-known Euler identity (e^{i,x} = cos x + i,sin x) and then an extension of hyperbolic functions.
As applications, we find a generalization of the Bol's lemma and we characterize the multiplication operators by the coordinate functions on the quotient space of the tensor product Hν1⊗Hν2 modulo the subspace of functions vanishing of certain degree on the diagonal.
Additional file 1: Table S1 shows the results of the application of the model generalization method to 269 metabolic models from Path2Model project [ 57].
This can be seen as an application of [19] and as a generalization of [20, 21].
An application of Theorem 3.1 gives a generalization of Bustoz and Ismail's Theorem C (see [18, Lemma 1]).
The proofs rely on Fefferman's expansion for the Bergman kernel in a certain Forelli Rudin type domain over Ω; as another application, they also yield a generalization of the cited Fefferman's expansion to a class of weighted Bergman kernels.
This has numerous applications one of which is a generalization of the Arnold conjecture for Hamiltonian homeomorphisms.
The application of generalizations about tributary junction angles, and of relevant theories, does not explain the unexpectedly high occurrence or the specific instances of barbed or straight junctions in the study area.
An important application of generalizations of the COP is physical mapping of chromosomes with probes.
