Marcus formula shows a quadratic dependence of the Gibbs free energy of activation on the Gibbs free energy of reaction.
2.
That is, the momentum diffusion in the chaotic domain has somewhere between a linear and a quadratic dependence on the number of kicks.
3.
Daly who proposed the theory of stoping argued that it is an efficient process because large blocks can sink rapidly because of the quadratic dependence on sinking velocity.
4.
Sir Isaac Newton later became the first person to theoretically derive this quadratic dependence of air resistance in the early 18th century, making him one of the first theoretical aerodynamicists.
5.
Alon et al . use the Lov�sz local lemma to prove that the Thue number of any graph is at most quadratic in its maximum degree; they provide an example showing that for some graphs this quadratic dependence is necessary.
6.
Therefore, both the area and energy can be easily increased without the risk of optical damage if the peak intensity is kept low, and yet a gain in the amount of generated nonlinear photons can be obtained because of the quadratic dependence.
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