a slowly varying function. For any β ∈ R, the function L(x) = log β x is slowly varying. The function L(x) = x is not slowly varying, nor is L(x) = x β...

Arrhenius exponential (of enthalpy rather than energy) multiplied by a slowly varying function of T. The precise form of the temperature dependence depends upon...

proportional to nc, for any c ≥ ⁠1/2⁠; it may also be multiplied by a slowly varying function of n. The law of the iterated logarithm specifies what is happening...

approximation is valid is that the z derivative of the amplitude function u is a slowly varying function of z: | ∂ 2 u ∂ z 2 | ≪ | k ∂ u ∂ z | . {\displaystyle...

( x ) = L ( x ) ⋅ x − 1 / ξ , for some  ξ > 0 , where  L  is a slowly varying function. {\displaystyle {\bar {F}}(x)=1-F(x)=L(x)\cdot x^{-1/\xi },\,\...

\alpha >1} , and L ( x ) {\displaystyle L(x)} is a slowly varying function, which is any function that satisfies lim x → ∞ L ( r x ) / L ( x ) = 1 {\displaystyle...

{\displaystyle n!} , one considers its natural logarithm, as this is a slowly varying function: ln ⁡ ( n ! ) = ln ⁡ 1 + ln ⁡ 2 + ⋯ + ln ⁡ n . {\displaystyle \ln(n...

longitude) is considered to be a slowly varying function, modeled with a Maclaurin series, rather than a simple linear function of time. Mean longitude, like...

components are no longer completely orthogonal functions. But when A(t) and φ(t) are slowly varying functions compared to 2πft, the assumption of orthogonality...

where σ > 0 {\displaystyle \sigma >0} and L {\displaystyle L} is a slowly varying function, then [ z n ] f ( z ) ∼ n σ − 1 Γ ( σ ) L ( n ) {\displaystyle...