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
No-impeachment rule the law of 42 jurisdictions. The Iowa rule has been adopted in 9 jurisdictions. The United States Supreme Court created a racial bias exception to the rule in their decision in "Peña-Rodriguez v. Colorado" (2017). No-impeachment rule The no-impeachment rule (also known as the non-impeachment rule) is a rule in the procedural law of many jurisdictions. It says testimony from jurors about what occurred during jury deliberations may not be used to impeach a verdict during an appeal. The rule originated in common law and has been codified into statute in many jurisdictions. The United States Federal Rules of Evidence,