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
Break Every Rule or both; "Typical Male" (U.S. #2) featuring Phil Collins on drums, "What You Get Is What You See" (U.S. #13) with Eric Clapton on guitars, "Two People" (Spain #1, U.S. R&B #18), David Bowie's "Girls" (Poland #11), "Back Where You Started" (U.S. Rock #18) co-written and produced by Bryan Adams, "Afterglow" (U.S. Dance #2) featuring Steve Winwood on keyboards, "Break Every Rule" (Poland #15) co-written and produced by Rupert Hine and "Paradise Is Here" (Ireland #24). Most of the 12" singles that were released from the album included extended or alternate mixes, live versions and/or non-album tracks, the majority of