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The purpose of this Note is to give an extension to the Lagrange identity [1] and [2], and then an extension to the Cauchy-Bouniakovsky inequality, since the right hand side
In § 2 some basic facts about the complex Grassmann manifold are remembered. The Cauchy formula is still true for projectively induced analytic line bundles over homogeneous
When one create or modify a table, Visual FoxPro presents the Table Designer (Figure 3), where one can specify field characteristics, including basic data type and size,
Abstract Two Chung-type and Hirsch-type laws are established to describe the liminf asymp- totic behaviours of the Cauchy’s principal values related to Brownian local times..
We derive a precise link between series expansions of Gaussian random vectors in a Banach space and Parseval frames in their reproducing kernel Hilbert space.. The results are
After that we define a new particle process R on the initial lattice configuration of the BLIP model, and show how the DTASEP naturally arises from the process R.. 3.1 Discrete
for the existence of a recurrent extension, but Salisbury [ 20 , 21 ] discovered that if two of the conditions are strengthened, then the resulting set of conditions is sufficient
In Section 3, we show that the birth-and-assassination process is the scaling limit, as n goes to infin- ity, of the rumor scotching process when G is the complete graph over n