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 of three (writing) is often paired with quick timing, ensuring that viewers have less time to catch on to the pattern before the punch line hits. As a whole, the comedic rule of threes relies on setting up a pattern of two items and then subverting viewer expectations by breaking that pattern with the third item. One particularly notable example comes from The Dick Van Dyke Show - "Can I get you anything? Cup of coffee? Doughnut? Toupee?". Just like most comedic writing, the rule of threes in comedy relies on building tension to a comedic release. In the case of the rule