The frequency response in the transform domain is derived as an analog to linear systems, with the resulting amplitude ratio and phase expressions being time dependent.
In the framework of the generalized Lorenz Mie theory, the beam shape coefficients which describe such beams are evaluated in exact and analytic form, the resulting expressions being then applied in light scattering problems.
The vertical Te profiles at fixed geomagnetic latitudes are approximated by second order polynomials and then the three constants of these polynomials are approximated by another set of analytical expressions, being explicit functions of altitude, geomagnetic latitude and local time.
Chardonnay was done poorly initially, too much telling, not enough listening, but there are some absolutely gorgeous expressions being made today.
It would actually be sufficient to restrict contraction by forbidding only those cases in which the two expressions being contracted have been introduced in semantically different ways.
"It will be crucial to test whether this pattern of 'fear' expressions being associated with anger/threat is found in the production of facial expressions, since the universality thesis is primarily focused on production rather than perception".
