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More precisely, if : is a function which is analytic in each variable z i, 1 ≤ i ≤ n, while the other variables are held constant, then F is a continuous function. A corollary is that the function F is then in fact an analytic function in the n -variable sense (i.e. that locally it has a Taylor expansion ).
Robert Everist Greene (born 1943) is an American mathematician at UCLA.. Greene was an undergraduate at Michigan State University and a Putnam Fellow in 1963. [1] He completed his Ph.D. at the University of California, Berkeley in 1969.
He established and developed the theory of complex-analytic spaces in joint work with Hans Grauert. Until his retirement in 1995, he was a professor for complex analysis in Münster . Remmert wrote two books on number theory and complex analysis , which contain a huge amount of historical information together with references on important papers ...
The word ullage comes from the Latin word oculus, used by the Romans to refer to a barrel cork hole.This word was, in turn, taken in medieval French as oeil, from which a verb ouiller was created, meaning to fill a barrel to full capacity.
The frequency at which vortex shedding takes place for a cylinder is related to the Strouhal number by the following equation: = Where is the dimensionless Strouhal number, is the vortex shedding frequency (Hz), is the diameter of the cylinder (m), and is the flow velocity (m/s).
Any given transfer function which is strictly proper can easily be transferred into state-space by the following approach (this example is for a 4-dimensional, single-input, single-output system)): Given a transfer function, expand it to reveal all coefficients in both the numerator and denominator.
Let = + and let (,) = be a real-valued function defined in a bounded domain .If > and and are Hölder continuous, then is admissible in .Further, given a Riemann surface, if is admissible for some neighborhood at each point of , is admissible on .