Results 281 to 290 of about 268,935 (316)

Boundary Points of Threshold Functions

IEEE Transactions on Computers, 1973
Boundary points of a threshold function fare those vertices of the n-cube that produce a minimal irredundant set of inequalities for the realization of f. In this paper they are shown to be those vertices that can be contained in separating hyperplanes.
Lawrence T. Fisher, Donald W. Dearholt
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International Boundaries: A Study of Boundary Functions and Problems.

Journal of the American Statistical Association, 1940
(1940). International Boundaries: A Study of Boundary Functions and Problems. Economic Geography: Vol. 16, No. 4, pp. 446-447.
Malcolm J. Proudfoot   +1 more
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On functions of bounded boundary rotation

1985
In this note, the authors consider the class \(V_ K\) of all functions f, holomorphic in the open unit disc E with f'(z)\(\neq 0\) there and \(f(0)=f'(0)-1=0\), with boundary rotation at most \(2\pi\) k, \(k\geq 1\). \(f\in V_ k\) satisfies \[ \int_{0}^{2\pi}| Re(1+(zf''(z)/f'(z)))| d\theta \leq 2\pi k,\quad z=re^{i\theta}, \] for all \(r\in [0,1 ...
Armstrong, T. E., Reade, Maxwell O.
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