Laughing Gas (instrumental) Laughing Gas (instrumental) "Laughing Gas" was a song performed by Quiet Riot at all the live performances while Randy Rhoads played with the band. It was never recorded onto an album until a live bootleg performance was enhanced (with rerecorded vocals) and placed on "The Randy Rhoads Years". The improvised solo was just over 6 minutes long and contained clips from future songs of Ozzy Osbourne including, "Goodbye to Romance", "Mr. Crowley", "Dee", and "Crazy Train". The solo outlined Randy's talent and productivity level at such a young age. This solo also contained a reference to William Tell Overture and
Algebraic formula for the variance for the "n" by "m" cross-covariance matrix "between" two random vectors of length "n" and "m": where expectations are taken element-wise and formula_8 and formula_9 are random vectors of respective lengths "n" and "m". Note that this formula suffers from the same loss of significance as the formula for variance if used for calculating estimates of the covariance, and alternative algorithms should be used instead. Algebraic formula for the variance In probability theory and statistics, there are several algebraic formulae for the variance available for deriving the variance of a random variable. The usefulness of these depends on what is