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
Equal authenticity rule Equal authenticity rule The equal authenticity rule is a rule of judicial interpretation developed by Canadian courts as a way of interpreting laws which are written in two parallel texts in English and French. The constitution of Canada requires that both versions of each Canadian law be treated as equally authoritative, which can result in problems when the English and French versions do not say exactly the same thing. The equal authenticity rule is derived from section 133 of the "Constitution Act, 1867", which states, "inter alia", "The Acts of the Parliament of Canada and the Legislature of Quebec shall