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We say a sequence ({z_{n}}_{n= 0}^{infty}) is (strictly) ratio monotonic if its ratio sequence ({frac{z_{n+1}}{z_{n}}}_{n=0}^{infty}) is (strictly) monotonically increasing or (strictly) decreasing as n increases.
Transition/transversion ratio, sequence length and substitution rate difference between annuals and perennials were averaged over all independent annual/perennial pairs.
Next, intensity summaries of identical sequence peptides were integrated with annotations retained from the diffset with the least number of missing values (including retention time, charge/mass ratio, sequence, score, and protein annotation).
The ordinary least squares estimator of β found using the generalized Moore-Penrose inverse method is β * = ∑ i = 1 n d i s i V i (6 Thus, β * depends on the ratios d i s i, i = 1, …, n, between transformed data points and the decaying singular values, which could be interpreted as representing a decreasing signal-noise ratio sequence.
The progressive-ratio schedule was based on the exponential progression: 1, 2, 4, 6, 9, 12, 15, 20, 25, 32, 40, …, derived from the formula (5 × e0.2 n ) − 5, rounded to the nearest integer, where n is the position in the ratio sequence (Roberts and Richardson, 1992).
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The normalized binwise correlation coefficient between two power ratio sequences and is defined as (18).
For example, the ratio sequences of Fibonacci numbers converge to the golden ratio which is important in sciences and arts.
The results showed that reasonable organic loading rate, high H/D ratio, sequencing batch operation and settling time still could be necessary factors.
It is not yet possible to follow remyelination reliably in humans, although some progress is being made into obtaining magnetic resonance (MR) sequences which correlate with remyelination, particularly with the use of Magnetisation Transfer Ratio sequences.
The effect of significant parameters such as orthotropic ratio, stacking sequence, aspect ratio, lamination angle, length-to-thickness and radius-to-length ratios as well as volume fraction index on the dimensionless frequency parameters is discussed.
We have shown a consistent linear relationship between hybridization ratio and sequence divergence.
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