Celebrated errors

New Perspectives and some Celebrated Quantum Inequalities

Some of the important inequalities associated with quantum entropy are immediate algebraic consequences of the Hansen-Pedersen-Jensen inequality. A general argument is given in terms of the matrix perspective of an operator convex function. A matrix analogue of Maréchal’s extended perspectives provides additional inequalities, including a p + q ≤ 1 result of Lieb.

On Hoffman's celebrated cycling LP example

In this short note we answer two questions that naturally arise while dealing with Hoffman’s celebrated 50-years-old cycling example for the primal simplex method to solve linear programs, where an angle θ and a scaling factor ω are adjustable parameters in his example. In particular, we determine what conditions have to be imposed on ω for cycling to occur with θ = 2π/5, and what on θ with |ω|...

The Gavarnie Cirque : a celebrated ”nature’s colossus

Dr. Isaac Thompson and his celebrated eye water.

For many years we have been fascinated by the methods of medical advertising. During the past decade advertising of ophthalmic products and services has burgeoned. A number of factors, including the emergence of"buccarteer surgeons" 1 as well as changes in laws and customs related to advertising induced by the "consumer movement" have contributed to this. One ophthalmic preparation that has bee...

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