Trapezoidal rule that Monte-Carlo integration is most likely a better choice, but for 2 and 3 dimensions, equispaced sampling is efficient. This is exploited in computational solid state physics where equispaced sampling over primitive cells in the reciprocal lattice is known as "Monkhorst-Pack integration". For various classes of functions that are not twice-differentiable, the trapezoidal rule has sharper bounds than Simpson's rule. The trapezoidal rule is one of a family of formulas for numerical integration called Newton–Cotes formulas, of which the midpoint rule is similar to the trapezoid rule. Simpson's rule is another member of the same family, and in general has
Rule Wynn and Rule the Canadian Architectural Archives in Calgary. Rule Wynn and Rule Rule Wynn and Rule was an Albertan architectural firm that had offices in Calgary and Edmonton. The firm is noted for its prominent role in bringing modern architecture to Alberta. Founded by John Ulric Rule (1904-1978) and Gordon K. Wynn (1910-1994) in Edmonton in 1938, they were joined a year later by Rule's brother, Peter Leitch Rule (1913-1964). The initial partnership came about as neither Rule nor Wynn could find work. All three partners were graduates of the school of architecture at the University of Alberta. During World War II