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
Golden Rule the view of Greg M. Epstein, a Humanist chaplain at Harvard University, " 'do unto others' ... is a concept that essentially no religion misses entirely. "But not a single one of these versions of the golden rule requires a God"". Various sources identify the Golden Rule as a humanist principle: According to Marc H. Bornstein, and William E. Paden, the Golden Rule is arguably the most essential basis for the modern concept of human rights, in which each individual has a right to just treatment, and a reciprocal responsibility to ensure justice for others. However Leo Damrosch argued that