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From the definitions of SR, the criterion value, which is to be maximized, is given as begin{aligned} J_{mathrm{SR}}=frac{trace(mathbf {S}_{b})}{trace(mathbf {S}_{w})} end{aligned}.
Mathematically, the objective function to be maximized is given by: rho(boldsymbol{w}_{x},boldsymbol{w}_{y}) = frac{text{cov}left(boldsymbol{w}_{x}^{T}boldsymbol{x},boldsymbol{w}_{y}^{T}boldsymbol{y}right)} {sqrt{text{var}left(boldsymbol{w}_{x}^{T}boldsymbol{x}right text{var}left(boldsymbol{w}_{y}^{T}boldsymbol{y}right)}}~.
Similar(58)
After the 2000 census, Republicans, who controlled the state legislature, used powerful computers to draw bizarrely shaped districts -- which were given names like "upside-down Chinese dragon" -- that maximized Republican voting strength.
For a given lattice, this ratio is maximized by choosing the largest possible R, known as the packing radius, which is defined as the in-radius of a Voronoi region containing the origin (Conway and Sloane, 1992).
This naturally leads to giving thought to the kind of environments which facilitate the journey, and in which positive rights are maximized"(p.290) [ 6].
BECAUSE of the area's tight quarters, "land use is maximized," said Laura O'Connell, another local real-estate broker.
Many experiments can be required to determine how best to hybridize any given labeled extract to a particular array and how to block, wash, and postprocess (e.g., stain) the array so that the signal‐to‐noise ratio is maximized.
In other words, the high-energy laser is correctly pointed to the aim point and the Strehl ratio is maximized.
The weighted uninterrupted energy is maximized in (6).
Therefore, the upper bound is maximized with maximum average power.
The ratio is maximized for Mississippi, which it is 11/4 = 2.75.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com