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 law the fundamental principle of the rule of law. The event consisted of over 185 judges, lawyers, and law professors from 53 countries. This later became known as the Declaration of Delhi. During the declaration they declared what the rule of law implied. They included certain rights and freedoms, an independent judiciary and social, economic and cultural conditions conducive to human dignity. The one aspect not included in The Declaration of Delhi, was for rule of law requiring legislative power to be subject to judicial review. The Secretary-General of the United Nations defines the rule of law as: a principle of