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The diffusivity D is given by the formula The leading minus sign is introduced because, when the gradient is positive, J is negative, and, by convention, D is a positive number.
We stick then to our original conception: a definition is an arbitrary stipulation by which a new sign is introduced to take the place of a complex expression whose sense we know from the way it is put together.
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.
The minus sign is introduced, because concentrations are positive and ΔL is a loss.
Similar(55)
Nowadays, when a star signing is introduced to the White Hart Lane crowd, the fans initiate him with a rapturous chant of "Yiddo!
The group says a third of smokers stopped smoking in the play parks where the signs were introduced.
Other distinctions regarding signs were introduced later by Peirce.
One set of distinctions among signs was introduced by Peirce in the early stages of his analysis.
Two variables relating to the severity of clinical signs were introduced into the database: grade of respiratory signs and grade of digestive signs.
Note that the sign factor is introduced by delays in the synthesis side.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com