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
The Mirror (Ja Rule album) The Mirror (Ja Rule album) The Mirror is the first mixtape by rapper Ja Rule, originally planned to be released in 2007. Two singles, "Uh-Ohhh!" and "Body," were released in 2007 to poor chart performance. After tracks from the unreleased album were leaked online, Ja Rule decided to re-record the album, but later decided to release it as a mixtape on July 31, 2009 along with two bonus tracks, "Free" and "Style On 'Em." Prior to the start of recording for this album, Ja Rule's last original studio album was "R.U.L.E." in 2004; The Inc. released a greatest hits compilation,