We consider certain scalar product of symmetric functions which is parameterized by a function r and an integer n. One the one hand we have a fermionic representation of this scalar product. On the other hand we get a representation of this product with the help of multi-integrals. This gives links between a theory of symmetric functions, soliton theory and models of random matrices (such as a ...

The prosthetic leg (PL) is a typical human-machine system in which the dynamic interaction between the human body and PL (machine) determines a high requirement of ergonomics design for PL and consequently needs to consider an indicator of usability indicating the performance of gait biomechanics. How to evaluate the indexes of usability for PL products is critical to the design technology of P...

provided the original work is properly cited. CC Patients, especially pediatric patients, with a recent history of an upper respiratory tract infection (URI) are at a significantly increased risk for the development of intraoperative airway complications due to airway hyperreactivity. For these patients, the incidence for bronchospasm can be 10 times the incidence for those patients who did not...

Invariants of quivers under the action of classical groups. Abstract We consider a generalization of representations of quivers that can be derived from the ordinary representations of quivers by considering a product of arbitrary classical groups instead of a product of the general linear groups and by considering the dual action of groups on " vertex " vector spaces together with the usual ac...

The field theoretic renormalization group and operator product expansion are applied to the problem of a passive scalar advected by the Gaussian nonsolenoidal velocity field with finite correlation time, in the presence of largescale anisotropy. The energy spectrum of the velocity in the inertial range has the form E(k) ∝ k1−ε, and the correlation time at the wavenumber k scales as k−2+η. It is...

Invariants of quivers under the action of classical groups. Abstract We consider a generalization of representations of quivers that can be derived from the ordinary representations of quivers by considering a product of arbitrary classical groups, instead of a product of the general linear groups, and by considering the dual action of groups on " vertex " vector spaces together with the usual ...