Sentences with phrase «hyperbolic functions»

Data were normalized and plotted as percentage, and fit to a hyperbolic function using Sigma Plot software.

Including emission along a path (Schwarzchild's equation), a flux will approach saturation as the optical thickness becomes large over scales where the temperature variation is small; at smaller optical thicknesses, the temperature distribution may vary and larger temperature variations make the nonlinearity of the Planck function important, but over short distances, the temperature variation can be approximated as linear and the associated Planck function values can be approximated as linearly proportional to distance for small temperature changes, so the flux will approach an asymptotic value as a hyperbolic function (the difference between the flux and the saturation value of the flux will be proportional to 1 / optical thickness per unit distance (assuming isotropic optical properties (or even somewhat anisotropic properties), it will have that proportionality for all directions and thus for the whole flux across an area).

Not exact matches

«Tummy Trouble», «Rollercoaster Rabbit», and «Trail Mix - Up» are all included here, but while the opening of Who Framed Roger Rabbit functions as both wild cartoon slapstick and hyperbolic parody of same (as well as something of a precursor to the even more satiric Itchy and Scratchy of The Simpsons), the subsequent shorts, beyond lacking the deft, fluid touch of the movie's animation director Richard Williams, are less clever: orchestrations of mayhem that occasionally pause to wink at themselves.