Let f [epsilon] [S.sup.*.sub.S,[summation]] 2 (a, f) and g be the analytic extension of [f.sup.-1] to U.
Let f [epsilon] [l.sub.S,[summation]]([alpha], [phi]) and g be the analytic extension of [f.sup.-1] to U.
Section 2 is devoted to the case when D(w; *) is non vanishing and has an analytic extension across [T.sub.1].
Taking into account (1.3) we see that the first identity in (1.4) can be regarded as an analytic extension of the weight w.
Whitney, "Analytic extensions
of differentiable functions defined in closed sets," Transactions of the American Mathematical Society, vol.
Brand-new products like mobile GIS- SuperSurv 10 and SuperPad 10, desktop GIS - SuperGIS Desktop 10 and its analytic extensions
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These next generation analytic extensions
to Splunk applications can include high impact customized visualizations and intuitive filtering controls to help users quickly isolate outliers and anomalies in their data.