A counterexample in $l\sb{2}$-manifold theory

A Counterexample in Sturm-Liouville Completeness Theory

We give an example of an indefinite weight Sturm-Liouville problem whose eigenfunctions form a Riesz basis under Dirichlet boundary conditions but not under anti-periodic boundary conditions.

A Counterexample in the Theory of Local Zeta Functions

A Counterexample to Richard von Mises’s Theory of Collectives

This document presents a translation from French into English of a passage from pp. 55–63 of Jean Ville’s Étude critique de la notion de collectif, which was published in 1939.

Reduced order model for doubly output induction generator in wind park using integral manifold theory

A dynamic reduced order model using integral manifold theory has been derived, which can be used to simulate the DOIG wind turbine using a double-winding representation of the generator rotor. The model is suitable for use in transient stability programs that can be used to investigate large power systems. The behavior of a wind farm and the network under various system disturbances was stu...

GROUPOID ASSOCIATED TO A SMOOTH MANIFOLD

‎In this paper‎, ‎we introduce the structure of a groupoid associated to a vector field‎ ‎on a smooth manifold‎. ‎We show that in the case of the $1$-dimensional manifolds‎, ‎our‎ ‎groupoid has a‎ ‎smooth structure such that makes it into a Lie groupoid‎. ‎Using this approach‎, ‎we associated to‎ ‎every vector field an equivalence‎ ‎relation on the Lie algebra of all vector fields on the smooth...