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(A_{i}) is functions of bounded variation satisfying (mathcal{G}_{A_{i}}(s ge0) for (sin[0, 1]) and (0lemathcal{A}_{i}<1).
That is, \ dv^{i}_{p}\) must be bilinear in \ v^{i}_{p}\) and in \(dx^{i}_{p}\); that is, where the \(n^{3}\) coefficients \ \Gamma^{i}_{jk}\)(x) are coordinate functions, that is functions of \(x^{i}\) \((i = 1, \ldots,n)\), and the minus sign is introduced to agree with convention.
Consequently, \ dv^{\,i}_p\) is bi-linear in \ v^{\,i}_p\) and \(dx^{\,i}_p\); that is, where, in the case of four dimensions, the \(4^{3} = 64\) coefficients \ \Gamma^{\,i}_{jk} (x^{i}(p))\) are coordinate functions, that is, functions of \(x^{i}(p)\) \((i = 1, \ldots, 4 \), and the minus sign is introduced to agree with convention.
Optimal kinematic parameters of mobile robots with three active joint variables and with four active joint variables are obtained and compared with respect to kinematic isotropic index of the Jacobian matrix of the mobile robot which is functions of the wheel radius and the length of steering link.
Because it is well established that patients' lungs are well correlated with their height [3], accurate tidal volume setting should be based on ideal or predicted body weight that is functions of height and gender, rather than on actual weight to avoid acquired acute lung injury and ARDS [4 6] and to improve outcome [7].
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Barroso: The 27% of renewables is function of 40% greenhouse gas reduction.
NO formation is function of temperature.
But perhaps that is function of the fact that not many funds actually raised money.
Q from Brian: Significant decline is function of clicks going through mobile or other factors?
Distribution of space is function of utility.
Scale and form are functions of our capacity to perceive them.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com