In this paper, existence and uniqueness of solution to two-point boundary value for two-sided fractional differential equations involving Caputo fractional derivative is discussed, by means of the Min-Max Theorem.

this presentation will cover, appearance of normal nerve versus tendon; anisotropy (advantage and disadvantage); special case carpal tunnel; tendinopathy; nerve impingement; special case cubital tunnel.

We introduce a new mechanism-design problem called fair imposition. In this setting a center wishes to fairly allocate tasks among a set of agents whose cost structures are known only to them, and thus will not reveal their true costs without appropriate incentives. The center, with the power to impose arbitrary tasks and payments on the agents, has the additional goal that his net payment to t...

In 1965, T. J. Willmore conjectured that the integral of the square of the mean curvature of a torus immersed in R is at least 2π. We prove this conjecture using the min-max theory of minimal surfaces.

We assess the behaviour of 5 different feature extraction methods for an acoustic event classification task—built using the same SVM underlying technology—by means of two different techniques: accuracy and the entropy triangle. The entropy triangle is able to find a classifier instance whose relatively high accuracy stems from an attempt to specialize in some classes to the detriment of the ove...