While at SUNY Buffalo, I saw how starkly neighborhoods could
change over a short distance, from the college section to a dangerous area, say, or a wealthy neighborhood.
Not exact matches
To be sufficiently abrupt, the
distance over which conditions
change must be
shorter than the wavelength (which for a particle is related to momentum).
The fact that Neanderthals — typically associated with hunting large prey
over short distances in woodland settings — were seemingly unable to catch and kill such creatures is compounded by rapid
changes in the environment.
This allowed the photons to interact more strongly
over a
short distance,
changing the property of the light that emerged from the other end of the one - micrometre - long channel.
A small number of studies have found that performance in an Olympic lift or a weightlifting derivative is moderate - to - strongly associated with sprint running speed
over short distances (Hori et al. 2008; Loturco et al. 2015) and some investigations have also found an association with
change of direction (COD) ability (Hori et al. 2008), although others have not (Loturco et al. 2015).
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).
The constraining of the atmospheric model affect the predictions where there are no observations because most of the weather elements — except for precipitation — do not
change abruptly
over short distance (mathematically, we say that they are described by «spatially smooth and slowly
changing functions»).
I studied chemical oceanography several decades ago, but I recall that reef species adapt to
changes in water temperature and pH quite rapidly
over a very
short distance.
«I recall that reef species adapt to
changes in water temperature and pH quite rapidly
over a very
short distance»
It's actually somewhat difficult to define the average temperature of a region, because of things like the
changes in temperature with elevation
over even
short distances.
Average temperature can
change markedly
over relatively
short distances.