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 by decree is the sign of a "generalization of the state of exception". Rule by decree Rule by decree is a style of governance allowing quick, unchallenged creation of law by a single person or group, and is used primarily by dictators, absolute monarchs and military leaders. The expression is also sometimes used when describing actions of democratic governments that are perceived to unduly bypass parliamentarian or popular scrutiny. Rule by decree allows the ruler to arbitrarily create law, without approval by a legislative assembly. When states of emergency such as martial law are in place, rule by decree is common. While