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Minimality-preserving Ribaucour transformations
(2016-07-06)
The Ribaucour transformation classically relates surfaces via a sphere congruence
that preserves lines of curvature. In this report, we generalise the
concept to submanifolds of arbitrary dimension and codimension, and ...
Optimal Auxiliary Variable Assisted Two-Phase Sampling Designs.
(2016-06-22)
Two-phase sampling is a procedure in which sampling and data collection is conducted
in two phases, aiming at achieving increased precision in estimation at reduced cost. The
rst phase typically involves sampling a large ...
The noncommutative Shilov boundary
(2016-12-06)
We introduce Arveson's generalization of the Shilov boundary to the
noncommutative case and give a proof based on the work of Hamana
of the existence of the Shilov boundary ideal.
Moreover, we describe the Shilov boundary ...