(

*a*) Raster display of the eigenvectors

of ) of the human global set, i.e.,

patterns of mRNA abundance level variation across the 50 human DNA microarrays, with overabundance (red), no change in abundance (black) and underabundance (green) around the “ground state” of abundance, which is captured by the first, most significant eigenvector. The inflection points of the

th eigenvector approximately sample the asymmetric parabola

(blue), where

is the generalized Hooke's constant of ). (

*b*) Bar chart of the corresponding eigenvalue fractions

, with the normalized Shannon entropy

. The

eigenvalues

and eigenvalue fractions approximately fit the geometric series

(blue), with

. (

*c*) Line-joined graphs of the first (red), second (orange), third (green), fourth (blue) and fifth (violet) most significant eigenvectors of the human global set. The

th eigenvector is approximately proportional to the

*q*th asymmetric Hermite function

of ), where the correlation is in the range of 0.75 to 0.84. The equilibrium

of the asymmetric parabola (dashed and shaded), and therefore also of the corresponding transcript length distribution function, is at the gel migration distance of 84 mm, corresponding to a transcript length of

1,700±100 nt. The asymmetry is

. (

*d*) Graphs of the first (red) through fifth (violet) eigenvectors of the human translation (GO:0006412) subset. The equilibrium is shifted from that of the human global set to the greater migration distance of 96 mm and lesser transcript length of 1,125±75 nt. The width is lesser than that of the human global set, where the magnitude

*k* of the generalized Hooke's constant

is twice that of the global set, while the asymmetry

*s* is similar. (

*e*) Eigenvectors of the human ribosome (GO:0005840) subset. The equilibrium is shifted from those of the global set and translation subset to the greater migration distance of 100 mm and lesser transcript length of 975±75 nt. The width is lesser than those of the global set or translation subset, where

*k* is three times that of the global set, while

*s* is similar. (

*f*) Raster display of the

eigenvectors of the yeast global set. (

*g*) Bar chart of the corresponding eigenvalue fractions. The

eigenvalues and eigenvalue fractions approximately fit the geometric series

(blue), with

for the yeast global set. (

*h*) Line-joined graphs of the first (red) through fifth (violet) eigenvectors of the yeast global set. The

th eigenvector is approximately proportional to the

*q*th asymmetric Hermite function, where the correlation is in the range of 0.85 to 0.92. The equilibrium of the transcript length distribution function of the global yeast set is at the gel migration distance of 78 mm and the transcript length of

1,025±100 nt. The asymmetry

is similar to that of the human global set. (

*i*) Eigenvectors of the yeast translation subset. The equilibrium is shifted from that of the yeast global set to the greater migration distance of 84 mm and lesser transcript length of 775±75 nt. The width is lesser than that of the yeast global set, where the magnitude

*k* of the generalized Hooke's constant is twice that of the global set, while the asymmetry

*s* is similar. (

*j*) Eigenvectors of the yeast ribosome subset. The equilibrium is similar to that of the yeast translation subset. The width is lesser than those of the global set or translation subset, where

*k* is three times that of the global set, while

*s* is similar.

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