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
Rule/Sparkle the Honda Zest Spark, while "Rule" was used as the international theme song for the 2009 adventure film "Dragonball Evolution". "Rule/Sparkle" was released on February 25, 2009 by Avex Trax and Avex Taiwan in three different versions: two different CD editions and a CD and DVD version. Both CD version features two remixes of "Rule" while the first version features two remixes of her single "Green" and the second features two remixes of her single "Days". Akira Toriyama, the creator and manga artist for the "Dragon Ball" series, was commissioned by Avex Trax to draw an illustration of Hamasaki, which