Note that the mixer power is strongly dependent upon the rotational speed and impeller diameter, and linearly dependent upon either the density or viscosity of the fluid, depending on which flow regime is present.
32.
Characteristic of the distortion is the symmetrical nature, which produces mainly first-order high-pass shelving filter that " is linearly dependent on its gain ", an approach called " progressivity ".
33.
The brightness of one is linearly dependent on electron flux, while the other one's brightness saturates at higher fluxes; the phosphor does not emit any more light regardless how much more electrons impact it.
34.
Given that \ { \ mathbf { e } _ k \ } spans V and is linearly dependent, one strategy is to remove vectors from the set until it becomes linearly independent and forms a basis.
35.
There will be an infinitude of other solutions only when the system of equations has enough dependencies ( linearly dependent equations ) that the number of independent equations is at most " N " & minus; 1.
36.
Then, the quantity q = 1-s _ 2 / s _ 1 is 1 if the columns of M are linearly dependent, i . e . if the data in M is purely one-dimensional.
37.
Which are unusual in that they are not invertible to the velocities; instead, they are constrained to be functions of the coordinates : the four phase-space variables are linearly dependent, so the variable basis is overcomplete.
38.
The third " 5 miles northeast " vector is a linear combination of the other two vectors, and it makes the set of vectors " linearly dependent ", that is, one of the three vectors is unnecessary.
39.
Any set of vectors that spans " V " can be reduced to a basis for " V " by discarding vectors if necessary ( i . e . if there are linearly dependent vectors in the set ).
40.
A nice set of figures depicting the distribution of streamlines and height contours for the cases of a uniformly-rotating ocean and an ocean where the Coriolis force is linearly dependent on latitude can be found in Stommel's 1948 paper.
