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
Offshore Racing Congress Rule produce the extreme and often unsafe designs which became the hallmark of the IOR rule. To encourage the growth of the rule, two versions have been developed. The ORC-International rule (ORCi) is the full complexity, highly developed version for top level championship racing. An ORC-Club rule has also been developed, which is a simplified version more easily used by smaller clubs who have less resources. Offshore Racing Congress Rule The Offshore Racing Congress Rule is a system of handicapping sailboats for the purpose of racing. It is managed by the Offshore Racing Congress (ORC) and is usually referred to in