(Supplement of Page 5) Four techniques for finding lower bounds. (1) Comparison tree. (2) A particular problem instance. (3) State transition. (4) Problem reduction.

In the comparison tests the idea is to compare a given series with a series that is known to be convergent or divergent.. For instance,

Kim [ 5] gave a clever O(n) time algorithm based on a geometric interpretation of the problem, which transforms the finding of maximum-density segment into the finding of

Figure 3: Comparison of the partitioning of the hemisphere effected by a VQPCA-based model (left) and a PPCA mixture model (right). The illustrated boundaries delineate regions of

– Taking any node in the tree as the current state induces a binomial interest rate tree and, again, a term structure.... An Approximate

– Taking any node in the tree as the current state induces a binomial interest rate tree and, again, a term structure.... An Approximate Calibration

– Taking any node in the tree as the current state induces a binomial interest rate tree and, again, a term structure.... Binomial Interest Rate

function TREE-SEARCH(problem, strategy) return a solution or failure Initialize search tree to the initial state of the problem loop do. if no candidates for expansion then

In computer science, the treap and the randomized binary search tree are two closely related forms of binary search tree data structures that maintain a dynamic set of ordered keys