The Connes–Consani plane connection

The K -Connection Location Problem in a Plane

This paper determines the optimal location of K connections in the plane, where a connection links pairs of existing facilities. Both uncapacitated and capacitated versions of the problem are considered. Discretization results for general polyhedral gauges and other properties are established. Two heuristic algorithms are developed for each case using the concept of a shortest path flow set cou...

P6: The Connection Between Epilepsy and Depression

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Architecture, City and Mathematics: The Lost Connection

The connection between architecture and science and sound based on mathematical relations has continued to develop[ since the rise of the Western classical civilization that originated in Ancient Greece. The mysterious Pythagorean cosmology pursued as secret esoteric knowledge was related to the search of rhythm, proportionality and harmony. Even somewhat earlier, Greek mysteries were based on ...

A connection between cutting plane theory and the geometry of numbers

Flow on the symmetry plane of a total cavo-pulmonary connection.

The flow inside a total cavo-pulmonary connection, a bypass operation of the right heart adopted in the presence of congenital malformation, is here studied for a specific geometry which has been recently introduced in clinics. The analysis has been performed by preliminary experimental observation and a novel Navier-Stokes formulation on the symmetry plane. This method, once some basic hypothe...