Quadratic terms, when included, can be expressed in terms of ( multi-variate ) bond convexity.
12.
The equipartition of kT / 2 requires that the degree of freedom appears only as a quadratic term in the energy.
13.
For instance, the change in \ phi _ B could be parameterized as ( with only up to quadratic terms shown)
14.
This translates to a correction of + 14.622N 2 days to the time of conjunction; the quadratic term now is:
15.
The addition of the quadratic term caffeine ^ 2 to the regression model would allow for the increasing and then decreasing relationship of grade to caffeine dose.
16.
:Using my formula above, the cube of a linear factor Ax + a has 3a A ^ 2 as the coefficient of the quadratic term.
17.
Similarly the quadratic terms of the eccentricity vector components in ( ) can be ignored for almost circular orbits, i . e . ( ) can be approximated with
18.
In 1853, Adams published a paper showing that, while tangential terms vanish in the first-order theory of Laplace, they become substantial when quadratic terms are admitted.
19.
The frequent computations of trigonometric expressions and square roots can again be avoided by dissolving everything into single steps and using recursive computation of the quadratic terms from the preceding iterations.
20.
By the equipartition theorem, the average of each quadratic term is " kT ", or " RT " per mole ( see derivation below ).
