6) without median tooth at apex; length relation between abscissae
of radial vein of fore wing (Fig.
Under some mild assumptions on the coefficients [a.sub.1](x, y), [a.sub.2](x, y), [a.sub.3](x, y) (defining L) and on the mesh refinement strategy it can be shown that, if the collocation abscissae
can be chosen to avoid a singular matrix W, then ||[W.sup.-1]|| will be uniformly bounded as h [right arrow] 0, where h = max([D.sub.1], [D.sub.2]).
By a generalization of the above expression for HBW, it can be shown that in a family of visual pigment spectra satisfying the aforementioned assumptions, any two spectra are related such that at equal ordinates, the abscissae
vary in proportion to [v.sub.max], i.e., v/[v.sub.max] = V[prime]/[v[prime].sub.max].
If the abscissae
[x.sub.i,j] were not subjected to any variation, we would get only a nonfinear amplitude variation of the waveform over time.(13) Since both the abscissae
[x.sub.i,j] and the ordinates [y.sub.i,j] of the segment endpoints vary, the polygonal waveform varies both in shape and in duration, leading to amplitude, timbre, and frequency variations of the sound.
show time which progresses from right to left (1 cm = 30 secs), while the ordinates indicate both temperature (1 cm = 25 [degrees] C) and power (1 cm = 200 kW).