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From a model-selection perspective, the origin of the substitution matrices is irrelevant — the likelihood function does not know where the matrices came from, and the likelihood is the final judge.
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The rectangularity of the regional matrices comes from the fact that each one has exactly n rows but may have a smaller or larger number of columns.
The majority of missing data in our matrix came from the two pyraloid outgroups and taxa that were included from EST data.
In general, it can be established for the studied composites that the spherulitic development of the polymer matrix comes from an instantaneous and athermal nucleation whose growth is not constant.
Their acrimonious relationship is unfortunate as it is increasingly clear that when it comes to Iran and the threat matrix coming from the Middle East, the two leaders aren't merely striking discordant notes on versions of the same song, but are singing entirely different tunes altogether.
The elements of co-occurrence matrix come from (5).
The T matrix comes from a weighted sum of a realized / averaged information matrix (G) and a trait specific genetic architecture matrix (S) (defined in equation 4).
The process of capillaries invasion of the dermal matrix comes from the bed and from the margins of the wound; without periosteum the healing process comes only from the margins of the wound [ 30].
In the rational case the new expressions are given in terms of finite matrices which come from special representations of the matrix functions.
The coupling matrices Q come from a 3D mantle conductivity model (Kuvshinov, 2011).
are spin matrices that come from the curl operator and are only two-dimensional because we have invoked the plane-wave approximation.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com