This paper presents an original approach to the kinematic synthesis of planar mechanisms for finitely separated positions. The technique, referred to here as geometric constraint programming, uses the sketching mode of commercial parametric computer-aided design software to create kinematic diagrams. The elements of these diagrams are parametrically related so that when a parameter is changed, ...

Many applications of constraint programming languages concern geometric domains. We propose incorporating strong algorithmic techniques from the study of geometric and algebraic algorithms into the implementation of constraint programming languages. Interesting new computational problems in computational geometry and computer algebra arises from such considerations. We look at what is known and...

A tutorial of the Mathematica1 package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the calculations of geometric, outer and inner products, as well as many other calculations related with geometric transformations. CGAlgebra is available from https:...

Big data knowledge discovery emerged as an important factor contributing to advancements in society at large. Still, researchers continuously seek to advance existing methods and provide novel ones for analysing vast data sets to make sense of the data, extract useful information, and build knowledge to inform decision making. In the last few years, a very promising variant of genetic programmi...

Geometric programming is an important class of optimization problems that enable practitioners to model a large variety of real-world applications, mostly in the field of engineering design. In many real life optimization problem multi-objective programming plays a vital role in socio economical and industrial optimizing problems. In this paper we have discussed the basic concepts and principle...

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 ...