"DEDICATED TO THOMAS WALMSLEY." This statement alone will make many generations of medical men from Belfast consider that this book must be a model of original thought lucidly expressed. The principles are indeed set out with a clarity and in a logical sequence that fully justify the dedication. Nevertheless, it is not an "easy" book in the generally accepted sense of the term, for it is never ...

This paper presents a novel shooting algorithm for solving two-point boundary value problems (BVPs) for differential equations of one independent variable. This algorithm includes the following steps: First, a shooting step is performed, in which a guess for the initial condition is made and a forward numerical integration of the differential equation is performed so that an Initial Value Probl...

We show that nonlinear Liouville theorems does not hold in general for indefinite problems on half spaces. Thus, in order to use blow-up method to obtain a priori estimates of indefinite elliptic equations, one has to impose assumptions on the nodal set of nonlinearity. The counter example is constructed by shooting method in one-dimensional case and then extended to higher dimensions.

The Hong Kong Jubilee Sports Centre was established in 1981 as the National Training Centre for elite sportsmen and sportswomen in Hong Kong. There were 11 residential sports: soccer, badminton, table tennis, tennis, fencing, gymnastics, squash, rowing, windsurfing, track and field, and swimming, each with a system of professional coaches and supporting technical staff. A number of non-resident...

In the present study, field goal shooting skills of female basketball players were assessed in the background to their reasoning ability. The sample consists of 100 female intercollegiate basketball players (age = 21.05±1.67 yrs.). Shooting skills and reasoning ability were assessed by Johnson’s “Basketball Field Goal Speed Shooting Test” and Mixed Type Group Test of Intelligence prepared by Me...

We propose a sequential quadratic programming (SQP) method for the optimal control of large-scale dynamical systems. The method uses modified multiple shooting to discretize the dynamical constraints. When these systems have relatively few parameters, the computational complexity of the modified method is much less than that of standard multiple shooting. Moreover, the proposed method is demons...

Assumption 2 (Smoothness of the control problem) We assume that the function f : Rnx×nq 7→ Rx is sufficiently smooth. Note that Lipschitz continuity guarantees the unique existence of a solution x(·) of the differential equations for fixed q by virtue of the Picard-Lindelöf theorem. As we assume unique sensitivities in the following, also the partial derivative functions ∂f ∂x , ∂f ∂q , ∂f ∂x2 ...

The integration of the handicapped into full community life poses difficult problems which have so far been largely glossed over in simplistic debates. It is the quality of life which ultimately needs examining, and for the handicapped this cannot be divorced from close comparisons with the experiences of normal people. The full acceptance of the handicapped by their normal peers is probably an...