The weighted Tower of Hanoi is a new generalization the classical problem, where move disc between two pegs $i$ and $j$ by positive real $w_{ij}\geq 0$. This problem generalizes concept finding minimum number moves to solve Hanoi, find sequence with total cost. We present an optimal dynamic algorithm we also establish some properties this as well its relation variants that are based on restrict...

We integrate a number of new and recent advances in heuristic search, and apply them to the fourpeg Towers of Hanoi problem. These include frontier search, disk-based search, parallel processing, multiple, compressed, disjoint, and additive pattern database heuristics, and breadth-first heuristic search. New ideas include pattern database heuristics based on multiple goal states, a method to re...

In 2011, Beeler and Hoilman generalised the game of peg solitaire to arbitrary connected graphs. Since then, related games have been considered on many graph classes. this paper, we introduce a variant solitaire, called path-stick which is played with sticks in edges instead pegs vertices. We prove several analogues results for that game, mainly regarding different Furthermore, characterise, ve...

1. The initial transient state. One can get useful information of the behaviour of a top by observing the track of its peg on the floor. This may be obtained by making the top move on tracing paper such as is used in typewriting. Eleven years ago I could see that after letting down a top there was a transient initial adjustment leading to a steady state of rolling and precession 1). During this...

Increasingly, innovative medical products are creating a quandary for the Food and Drug Administration (“FDA”) because they often transcend the FDA’s traditional categorical approach to regulating medical products. In a recent attempt to simplify this process, the FDA has proposed a new rule for regulating "combination products." This iBrief discusses the FDA’s current approach and analyzes the...