The Many Faces of Degeneracy in Conic Optimization

The Many Faces of Degeneracy in Conic Optimization

Slater’s condition – existence of a “strictly feasible solution” – is a common assumption in conic optimization. Without strict feasibility, first-order optimality conditions may be meaningless, the dual problem may yield little information about the primal, and small changes in the data may render the problem infeasible. Hence, failure of strict feasibility can negatively impact off-the-shelf ...

the many faces of supplier induced demand in health care

health economists look towards health care sector as a market whereby there is a distinct demand and supply phenomenon exists. dearth of regulation of the doctors' practices lead to inappropriate and unjustifiable demand for health care among the patients. in developing and under-developed countries, this adverse practice may push a poor family into a vicious circle of poverty and illness, espe...

The many faces of superradiance

Inertial motion superradiance, the emission of radiation by an initially unexcited system moving inertially but superluminally through a medium, has long been known. Rotational superradiance, the amplification of radiation by a rotating rigid object, was recognized much later, principally in connection with black hole radiances. Here we review the principles of inertial motion superradiance and...

The Many Faces of Empathy

In 1872, Charles Darwin published The Expression of the Emotion in Man and Animals (1). In it, he sought to link certain movements, such as humans raising their eyebrows when surprised, to the concept of evolution and a link to common animal ancestry. Darwin’s impact on the psychology of the emotions continues to be felt to this day and his book is still considered a classic. One of the problem...

The Many Faces of Carbon