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This paper presents a method to estimate the bounds of the radius of the feasible space for a class of constrained nonconvex quadratic programmings. Results show that one may compute a bound of the radius of the feasible space by a linear programming which is known to be a PP-problem [N. Karmarkar, A new polynomial-time algorithm for linear programming, Combinatorica 4 (1984) 373–395]. It is proposed that one applies this method for using the canonical dual transformation [D.Y. Gao, Air Jordan 1 Black Toe Canonical duality theory and solutions to constrained nonconvex quadratic programming, J. Global Air Jordan Retro 1 Optimization 29 (2004) 377–399] for solving a standard quadratic programming problem.
The increasing use of token economies has been warranted by its impressive results in altering a wide range of behaviors with diverse treatment populations. However, a close examination of the literature reveals a relatively consistent percentage of treatment failures. Evidence is reviewed which demonstrates that the failure of some patients to respond to the token economy has laboratory precedents. Possible explanations for unresponsiveness of patients to token reinforcement are entertained. The implications for the operant paradigm represented by these failures are discussed. Finally, several solutions are suggested to decrease the Jordans Shoes number of patients who fail to respond.