Decomposition method related to saturated hyperball packings

Highly Saturated Packings and Reduced Coverings

We introduce and study certain notions which might serve as substitutes for maximum density packings and minimum density coverings. A body is a compact connected set which is the closure of its interior. A packing P with congruent replicas of a body K is n-saturated if no n− 1 members of it can be replaced with n replicas of K, and it is completely saturated if it is n-saturated for each n ≥ 1....

Decomposition of Multiple Packings with Subquadratic Union Complexity

Let k be a positive integer and let X be a k-fold packing of infinitely many simply connected compact sets in the plane, that is, assume that every point belongs to at most k sets. Suppose that there is a function f(n) = o(n) with the property that any n members of X surround at most f(n) holes, which means that the complement of their union has at most f(n) connected components. We use tools f...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media

An accurate General Method to Correlate Saturated Vapor Pressure of Pure Substances

In this study, a generalized equation is presented to calculate vapor pressure of pure substances as a function of reduced temperature, critical pressure, and acentric factor. With the presented model, vapor pressures have been calculated and evaluated with NIST data bank for 70 pure substances for about 14000 data points, and the overall average absolute percentage deviation has been only 0.78...

Application of the Boundary Element Method to two Dimensional Dynamic Problems of Saturated Porous Media