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The application of an adequate coordinate changing transforms these BMI's into a set of LMI's (linear matrix inequalities) that permits to use directly the standard MATLAB-toolbox.
By considering the coordinate changing idea presented in Theorem 5, we can express Γ in terms of coordinates Γ ˜ = φ − 1 ∘ Γ : [ a, b ] ⊂ T ˜ → U, Γ ˜ ( x ) = ( t ′ ( x ), s ′ ( x ) ).
While the genome of A. queenslandica contains an extensive repertoire of genes very similar to that of complex bilaterians, it is as yet unclear how this is drawn upon to coordinate changing morphological features and ecological demands throughout the sponge life cycle.
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Tensor G klmn Open image in new window does not possess this property; it forms a pseudo-tensor, inversion of the coordinate system changing its sign.
However, it is yet unknown which sets of genes are expressed at each developmental stage to coordinate the changing morphological features and ecological demands throughout the sponge life cycle.
For example, the subfamily of JFP6-like proteins has a substitution in the Fe(II) coordinating residues changing the Fe(II) binding motif.
On changing coordinate variables, using the Hooke and Jevees pattern search algorithm, the member areas are treated as dependent design variables.
More mathematically, the viewpoint that "distant galaxies are receding" and the viewpoint that "the space between galaxies is expanding" are related by changing coordinate systems.
Honey bee colonies are composed of tens of thousands of individuals and rely on diverse chemical, visual and mechanosensory communication signals to coordinate activity to changing conditions.
From an evolutionary perspective it has been argued that the re-centering bias subserves the fast reorientation of the gaze towards the most convenient gaze coordinate in a changing visual environment with respect to both muscular and attentional efficiency [73], [74].
Changing coordinate systems is fine, but calling the two measures "independent" is not, especially because of the logic used: "According to the Chargaff's rules again, S varies broadly whereas R always centers at 50%, implying the independence between S and R".
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Justyna Jupowicz-Kozak
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