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
Mischief rule they are interpreting. Driedger puts it this way: "[T]o this day, "Heydon's Case" is frequently cited. The courts still look for the 'mischief' and 'remedy', but now use what they find as aids to discover the meaning of what the legislature has said rather than to change it." Driedger goes on to argue that this modern use of the mischief rule ought to be understood as one of the components of what he characterized as the "modern" method of statutory construction, rather than a stand-alone rule serving (as it formerly had), as an alternative to the methods of construction proposed