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
Funeral Rule that the funeral home purchases from a third-party vendor on behalf of their customer. Some examples of cash advance items include: - Flowers - obituary notice - Pallbearers - Officiating clergy - Organist or soloist The Funeral Rule stresses the importance of the consumer to clarify with the funeral home whether there is a premium charged for cash advance items. Some funeral homes pass through the exact expense to their customers, while others apply a mark-up, which is allowable under The Funeral Rule. According to The Funeral Rule, funeral homes that charge a mark-up must disclose this in writing to