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Mixed-number arithmetic can be performed either by converting each mixed number to an improper fraction, or by treating each as a sum of integer and fractional parts. Equivalent fractions Multiplying the numerator and denominator of a fraction by the same (non-zero) number results in a fraction that is equivalent to the original fraction.
In either approach, though, the two added numbers must be scaled the same. [3] For other operations, the scaling is very important. Multiplication, for instance, needs to take into account that both numbers are scaled. As an example, consider two real world values A and B. The real world multiplication of these real world values is: A * B = P
In general, these series with =, =, =, and = give the expectations of "the number of trials until first success" in Bernoulli processes with "success probability" . The probabilities of each outcome follow a geometric distribution and provide the geometric sequence factors in the terms of the series, while the number of trials per outcome ...
For images of fractal patterns, this has been expressed by phrases such as "smoothly piling up surfaces" and "swirls upon swirls"; [6] see Common techniques for generating fractals. As a group, these criteria form guidelines for excluding certain cases, such as those that may be self-similar without having other typically fractal features.
A visual representation of the sampling process. In statistics, quality assurance, and survey methodology, sampling is the selection of a subset or a statistical sample (termed sample for short) of individuals from within a statistical population to estimate characteristics of the whole population.
However, no single phosphate material has the ability to accommodate all of the radioactive products so phosphate storage requires more reprocessing to separate the waste into distinct fractions. [33] Both glasses have to be processed at elevated temperatures making them unusable for some of the more volatile radiotoxic elements.
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