We examine questions about surgery on links which arise naturally from the trisection decomposition of 4-manifolds developed by Gay and Kirby \cite{G-K3}. These lie Heegaard surfaces in $\#^j S^1 \times S^2$ have surgeries yielding $\#^k S^2$. describe families such surgeries. One can ask whether all with these families; answer is almost certainly no. nevertheless give a small piece evidence fa...

Wide acceptance of inexpensive writing tablets with high functionality motivates the development of individualized, adaptive on-line recognition of cursive script. We demonstrate a lexical algorithm based on bigram matches. The solution we propose is to (i) Generate a match list by partial-word matching against a reference list in the owner's script. (ii) Identify each unknown word by eliminati...

Google uses the PageRank algorithm to compute an estimate of the popularity of each page based solely on the link structure of the web graph – these estimates are the so-called PageRank values. A page will achieve one of the top spots of a search result if it has a high PageRank value and matches the search criteria for the actual Google search. For a given page t and k ∈ Z+ we study the proble...

Are your processes repeatable? Can you get out the next release without having to rewrite most of the code base? As an industry, we obsess about answering “yes” to these questions because at one point we could only respond with “no”. That “no” carried with it implications of poor stewardship. Reinventing the wheel costs money, writing nonmaintainable code costs money. In reality, it often took ...