41. The primary goal of a convolution reverb is to sample real spaces, in order to simulate the acoustics of the sampled space . 42. This mathematical definition of probability can extend to infinite sample spaces, and even uncountable sample spaces , using the concept of a measure. 43. So, when defining a probability space it is possible, and often necessary, to exclude certain subsets of the sample space from being events. 44. Generally, a minimum tip-sample spacing is specified to prevent the tip from crashing into the sample surface at the 0 V tip-sample bias. 45. The logic behind this equation is that if the outcomes are restricted to " B ", this set serves as the new sample space . 46. This is the reason why \ scriptstyle \ mathcal { S } ^ D is considered to be the sample space of compositional data. 47. In fact these properties imply that the covariance defines an inner product over the L 2 inner product of real-valued functions on the sample space . 48. In more formal probability theory, a random variable is a mapping that assigns numbers between zero and one to certain subsets of the sample space . 49. This contrasts with the idea of randomness in probability; in that theory, no particular element of a sample space can be said to be random. 50. The two year time gap between the completion of the album and its release was explained by the search for a suitable sample space and new members.