BACKGROUND Cardiac memory (CM) refers to persistent T-wave changes on resumption of normal conduction after a period of abnormal ventricular activation. Traditionally, to observe CM, normal ventricular activation had to be restored, limiting the exploration of this phenomenon in clinical practice. OBJECTIVE This study sought to prove that CM can be detected during continuous aberrant activati...

This note discusses the recent work of Huang-Schoen-Wang [13] on specifying total conserved quantities of a vacuum initial data set. 1 Conserved quantities in special relativity Conserved quantities in special relativity are associated with symmetry in the Minkowski space R. The isometry group of R consists of spacetime translations and Lorentz rotations. An infinitesimal isometry corresponds t...

By an appropriate discretization of control and state variables, a constrained optimal control problem is transformed into a nite dimensional nonlinear program which can be solved by standard SQP-methods 10]. Convergence properties of the discretization are derived. From a solution of this method known as direct collocation, these properties are used to obtain reliable estimates of adjoint vari...

and Applied Analysis 3 Remark 5. Assumption (13) holds if the system has a unique solution. For brevity, we rewrite system (2)∼(5) in the vector form by introducing W(x, t) = (u(x, t), n(x, t)) and Y(x, t) = (a(x, t), b(x, t)). We denote by E 0 = H 2 ⋂H 1 0 (Ω) × H 1 0 (Ω) the space of vector functionsW(x, t) = (u(x, t), n(x, t)) with norm E0 = {‖u‖ 2 H 2 + ‖n‖ 2 H 1} 1/2 . (14) Similarly, we d...

In 20], Yetter makes the following deenition: Fix a nite group, G. For any space X and a triangulation, T, a G-coloring of T is a map : T (1) ! G such that given any 2 T (2) , (e 1) " 1 (e 2) " 2 (e 3) " 3 = 1, whenever @ = e " 1 1 e " 2 2 e " 3 3 , for " i = 1 denoting in the rst expression non-inversion or inversion in the group G and in the second preservation or reversal of orientation. We ...

One of the important problems in active moving objects control system (AMO CS) is the evaluation of goal abilities, i.e., potential of the system to perform its missions in different situations. Thus, the preliminary analysis of information and technological and goal abilities (GA and ITA) of AMO CS is very important in practice and can be used to obtain reasonable means of the АМО exploitation...