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
Flemming Rule from its welfare program in what became known as the "Louisiana Incident." This was done because the children had been born outside of wedlock, and were considered illegitimate by the state. Similar types of welfare denial had occurred in other states. In response to this, the Louisiana Department of Health, Education and Welfare, administrator of the income assistance program, implemented the Fleming Rule. A 1997 article by Claudia Lawrence-Webb claimed that the child welfare system had problems fairly representing children of color and signified this problem was due to the Fleming Rule. Webb suggested that the rule was implemented poorly,