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For values of DAV below that of the maximum number of hole clusters, the diffusion coefficient becomes smaller than that predicted by the quadratic ratio D="γ|DAV|2 The differences in the dynamics of individual molecules and polymer chain systems are studied.
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Degradation kinetics was described by the quadratic polynomial model.
Substitution of these formulae into one of the initial three equations gives a quadratic equation for rs, which can be solved by the quadratic formula.
Likelihood ratio tests (LRTs) were used to assess whether there was any evidence of non-linear effects, by including the quadratic terms for the z-scores of birth weight and ponderal index in the models.
The estimated state x ^ was computed by solving the quadratic programming sub-problem A1.
We also calculated univariate nonlinear selection gradients by incorporating the quadratic and correlational terms.
Likewise, LINE-1 hypomethylation was inversely linearly associated with CIMP-high (p for trend <0.0001), and there was no significant non-linearity by the likelihood ratio test, using a quadratic (or cubic) term (p≥0.078).
We did not show significant non-linearity by the likelihood ratio test that compared a model including a quadratic (or cubic) term with a model excluding it (p>0.85).
For age and LINE-1, we assessed non-linearity by the likelihood ratio test that compared a regression model including a quadratic (or cubic) term with a model excluding it.
In some places, however, the Babylonian scribes solved quadratic problems in terms of a single unknown, just as would now be done by means of the quadratic formula.
The quadratic scaling takes into account that the ratio distribution is not symmetrical around ratio 1.
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