Solving Triangular Peg Solitaire

We consider the one-person game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at a specified board location. We develop necessary and sufficient conditions for this game to be solvable. For all solvable problems, we give an explicit solution algorithm. On the 15-hole board, we compare three simple solution strategies. We then consider the problem of finding solutions that minimize the number of moves (where a move is one or more consecutive jumps by the same peg), and find the shortest solution to the basic game on all triangular boards with up to 55 holes (10 holes on a side).Comment: 23 pages, 14 figures; published version including comments by John Beasle

Dynamic co-movements of stock market returns, implied volatility and policy uncertainty

We examine time-varying correlations among stock market returns, implied volatility and policy uncertainty. Our findings suggest that correlations are indeed time-varying and sensitive to oil demand shocks and US recessions. Highlights: We examine dynamic correlations of stock market returns, implied volatility and policy uncertainty. Dynamic correlations reveal heterogeneous patterns during US recessions. Aggregate demand oil price shocks and US recessions affect dynamic correlations. A rise in the volatility of policy uncertainty dampens stock market returns and increases uncertainty. Increases in stock market volatility reduce stock market returns and increase uncertainty

A parents group and its relation to the problem of mental retardation

Thesis (Ed.M.)--Boston Universit