Geometric programming with (posy)monomials is known to be synonomous with linear programming, Ifais note reduces algebraic programming to geometric programming with (posy)binomials. Carnegie-Mellon University, Pittsburgh, Pennsylvania, 15213. Partially supported by the Army under research grant DA--AROD-31-124-71-G17. Northwestern University, Evanston, Illinois, 60201. Partially supported by th...

Problem: You have been asked to implement a new weapon that behaves something like a shot gun. It has a wide ange of effectiveness, but it is only effective at relatively small distances. Suppose that the end of the muzzle of the gun is located at a point p (in 3-dimensional space), and it has been aimed at a target point t (see Fig. 1(a)). The gun shoots a spray of pellets within angle θ the c...

Quadratic geometric programming as introduced by Hough and Goforth is an extension of posynomial geometric programming. By using the theory of generalized geometric programming, Jefferson and Scott defined its exact geometric dual. The fundamental relationship between the geometric dual and the original problem is that they assume a common value at their respective optima. This result formally ...

Profit maximization is an important issue to the firms that pursue the largest economic profit possible. In this paper, we consider the profit-maximization problem with the known CobbDouglas production function. Its equivalent geometric programming form is given. Then due to the presence of uncertainties in real world modeling, we have assumed interval uncertainties on the model parameters. The...

Problem: You have been asked to implement a new weapon that behaves something like a shot gun. It has a wide ange of effectiveness, but it is only effective at relatively small distances. Suppose that the end of the muzzle of the gun is located at a point p (in 3-dimensional space), and it has been aimed at a target point t (see Fig. 1(a)). The gun shoots a spray of pellets within angle θ the c...

We present a novel method for determining how the perceptual organisation of simple alternating tone sequences is likely to occur in human listeners. By training a tensor model representation using features which incorporate both low-frequency modulation rate and phase, a set of components is learned. Test patterns are modelled using these learned components, and the sum of component activation...