We consider the task of numerically approximating the solution of an ordinary differential equation initial value problem. A methodology is given for determining the computational complexity of finding an approximate solution with error not exceeding t . In addition, we determine the method of optimal order within a given class of methods, and show that under reasonable hypotheses, the optimal ...

We give an elementary new method for obtaining rigorous lower bounds on the connective constant for self-avoiding walks on the hypercubic lattice Zd. The method is based on loop erasure and restoration, and does not require exact enumeration data. Our bounds are best for high d, and in fact agree with the rst four terms of the 1=d expansion for the connective constant. The bounds are the best t...

In order to improve our understanding of the mineral potential of northern Vancouver Island beyond the wellknown intrusion-related Cu-Au-Ag(-Mo) porphyry deposits (e.g., Hushamu, MINFILE 092L 240 and the former Island Copper mine, MINFILE 092L 158) and base and precious-metal skarns (e.g., Merry Widow, MINFILE 092L 044), we need a better understanding of the stratigraphy of the Bonanza island a...

Painful left bundle branch block (LBBB) is characterized by chest pain in setting of transient LBBB, the absence ischemia. Management has focused on pharmacological suppression sinus rate to prevent or invasive therapy with permanent pacing. To determine feasibility using oral theophylline for treatment painful LBBB. N/A A 71-year-old man presented evaluation exertional left-sided that resolved...