2,109,698 A 3/1938 Harman ......................... 18/53 2,186,769 A 1/1940 Schirm ......... ... 260/377 4,123,530 A 10/1978 Corvi-Mora ......... ... 424/250 5,506.258 A 4/1996 Christophe et al. ......... 514/423 5,552,411 A 9/1996 Downing et al. ........... 514/312 5,554,621 A 9/1996 Poindexter et al. ......... 514/278 5,571,921 A 11/1996 Bender et al. .............. 546/199 5,602,024 A 2/199...

The quantum mechanical brachistochrone system with a PT-symmetric Hamiltonian is Naimark-dilated and reinterpreted as a subsystem of a Hermitian system in a higher-dimensional Hilbert space. This opens a way to a direct experimental implementation of the recently hypothesized PT-symmetric ultrafast brachistochrone regime of Bender et al. [Phys. Rev. Lett. 98, 040403 (2007)] in an entangled two-...

The authors have been developing a pipe bender which fabricates pipes of three-dimensional complex shapes from straight pipes based on the penetration bending method. This bender is composed of a movable die supported by a drive mechanism, a fixed die and a pipe feeder. A 3-RPSR parallel mechanism was employed as the movable-die drive mechanism, and its kinematic design was figured out under th...

In determining the prime cause of a physical event, people often weight one of two entities in a symmetric physical relation as more important for bringing about the causal effect than the other. In a broad survey (Bender and Beller, 2011), we documented such weighting effects for different kinds of physical events and found that their direction and strength depended on a variety of factors. He...

The notion of a neuron that responds selectively to the image of a particular complex object has been controversial ever since Gross and his colleagues reported neurons in the temporal cortex of monkeys that were selective for the sight of a monkey's hand (Gross, Rocha-Miranda, & Bender, 1972). Since that time, evidence has mounted for neurons in the temporal lobe that respond selectively to fa...

D. Lacroix, 2, ∗ T. Duguet, 3, 4, † and M. Bender 6, ‡ National Superconducting Cyclotron Laboratory, 1 Cyclotron Laboratory, East-Lansing, MI 48824, USA GANIL, CEA et IN2P3, BP 5027, 14076 Caen Cedex, France Department of Physics and Astronomy, Michigan State University, East Lansing, MI 48824, USA CEA, Centre de Saclay, IRFU/Service de Physique Nucléaire, F-91191 Gif-sur-Yvette, France Univer...

We first give a combinatorial interpretation of Everitt, Littlejohn, and Wellman’s Legendre-Stirling numbers of the first kind. We then give a combinatorial interpretation of the coefficients of the polynomial (1 − x) ∑∞ n=0 { n+k n } x analogous to that of the Eulerian numbers, where { n k } are Everitt, Littlejohn, and Wellman’s Legendre-Stirling numbers of the second kind. Finally we use a r...

A theory of counting nonintersecting lattice paths by the major index and generalizations of it is developed. We obtain determinantal expressions for the corresponding generating functions for families of nonintersecting lattice paths with given starting points and given final points, where the starting points lie on a line parallel to x+y = 0. In some cases these determinants can be evaluated ...