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
Community Rule 30% of the scrolls are classified as "sectarian". The most complete manuscript of the Community Rule was found in Cave 1, and was first called the Manual of Discipline by Millar Burrows. It is now designated 1QS (which stands for : "Cave 1 / Qumran / "Serekh" = 'rule'). Numerous other fragments of this document, containing variant readings, were found in caves 4 and 5 (4QS, 5Q11, 5Q13). Two other documents, known as the Rule of the Congregation (1QSa) and the Rule of the Blessing (1QSb), are found on the same scroll as 1QS and while they were originally thought