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
President's rule obtaining the consent of the President of India. If it is not possible to revoke Governor's rule within six months of imposition, the President's Rule under Article 356 of the Indian Constitution is imposed. There is little practical difference between the two provisions. Following its landmark judgment in the 1994 "Bommai" case, the Supreme Court of India has restricted arbitrary impositions of President's rule. Chhattisgarh and Telangana are the only states where President's rule has yet to be imposed. In practice, president's rule has been imposed under different circumstances: If approved by both houses, President's Rule can continue for 6