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
Ja Rule with Ashanti, "Mesmerize" with Ashanti, and "Wonderful" with R. Kelly and Ashanti. During the 2000s, Ja Rule was signed to Murder Inc. Records, formerly known as The Inc. Records and led by Irv Gotti. Due to his hits with his collaborators, Ja Rule has earned four Grammy nominations, and has had six top-ten albums, two of which, "" (2000) and "Pain Is Love" (2001), topped the US "Billboard" 200. Ja Rule was born Jeffrey Bruce Atkins on February 29, 1976, to Debra and William Atkins in Hollis, a section of the Queens borough of New York City. Jeffrey's father left