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But on her desk was a secret weapon: a stack of worksheets -- the antithesis of constructivist math -- pages of classic problems in long division, the addition of fractions and reducing the sum of fractions to its simplest terms.
Obviously, it seems, the sum can be rewritten (1 − 1) + (1 − 1) + … = 0 + 0 + … = 0. Surely this answer seems as intuitive as the sum of fractions.
The non-mobile fraction was in the range 0.003 – 20.2 mg/kg corresponding to 1.2 – 48.5% of the sum of fractions.
Figure 6 Spatial distribution in weight of mobile (a), semi-mobile (b) and non-mobile Hg species (c) related to the sum of fractions.
Therefore, the unit of the sum of fractions is, that is, every fraction signifies a frequency at which slots are scheduled.
When two (or more) methods tie for the same position in the ranking, they obtain the same label; thus the sum of fractions at certain rankings may exceed 100%.
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Fig. 9 Sum of fraction of interference leakage to received signal for two interference networks with σ 2 = 0.1, and ( frac{P}{N_0}=10 dB ).
Because their methods of calculation could not handle most fractions with a numerator greater than one, they had to write fractions as the sum of several fractions.
The quantification of samples from the buoyant density gradient was calculated as the ratio of chemiluminescence in the first two fractions to the sum of all fractions.
Figure 3 presents the correlation between transcript abundance and the four DNA methylation scores proposed in this study (sum of methylation fractions by site (SMFS), mean methylation fraction by site (MMFS), mean methylation fraction by region (MMFR) and sum of scaled methylation reads by region (SMRR)) for all replicate combinations.
Rare earth elements dominate in the residual fraction (73.5%), followed by reducible (19.6%), oxidisable (6.6%), and water soluble, exchangeable (0.4%) fraction (calculated from the sum of the fractions and mean of both soil profiles).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com