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The only information is given by the ratios between components, so the information of a composition is preserved under multiplication by any positive constant. Therefore, the sample space of compositional data can always be assumed to be a standard simplex, i.e. κ = 1 {\displaystyle \kappa =1} .
Fragrance pyramid. Notes in perfumery are descriptors of scents that can be sensed upon the application of a perfume. Notes are separated into three classes: top/head notes, middle/heart notes, and base/soul notes; which denote groups of scents which can be sensed with respect to the time after the application of a perfume.
The ratios are all expressed relative to C in the centre of this diagram (the base note for this scale). They are computed in two steps: For each cell of the table, a base ratio is obtained by multiplying the corresponding factors. For instance, the base ratio for the lower-left cell is 1 / 9 × 1 / 5 = 1 / 45 .
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For instance, the Laplace distribution has a kurtosis of 6 and weak exponential tails, but a larger 4th L-moment ratio than e.g. the student-t distribution with d.f.=3, which has an infinite kurtosis and much heavier tails. As an example consider a dataset with a few data points and one outlying data value.
Unlike a linear scale where each unit of distance corresponds to the same increment, on a logarithmic scale each unit of length is a multiple of some base value raised to a power, and corresponds to the multiplication of the previous value in the scale by the base value. In common use, logarithmic scales are in base 10 (unless otherwise specified).
Note: When comparing N50 values from different assemblies, the assembly sizes must be the same size in order for N50 to be meaningful. N50 can be described as a weighted median statistic such that 50% of the entire assembly is contained in contigs or scaffolds equal to or larger than this value.
In music, an interval ratio is a ratio of the frequencies of the pitches in a musical interval. For example, a just perfect fifth (for example C to G) is 3:2 ( Play ⓘ ), 1.5, and may be approximated by an equal tempered perfect fifth ( Play ⓘ ) which is 2 7/12 (about 1.498).