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(35) can be conveniently written in matrix form as: (36).
The source term, modeling the injected laser light, can be conveniently written, in the case at hand, as.
In the case of equilibria involving carbonate, due to the near constancy of HCO3- concentrations in seawater, equilibria can be conveniently written in the following form.
Water flow propelled by various types of pumps, centrifugal or progressive cavity displacement, for example, can be conveniently written as a second degree polynomial of the collected solar radiation.
However, if values are too small or too large to be conveniently written in decimal form, they have been placed in standard scientific notation (magnetization and susceptibility may span many orders of magnitude).
A (2mbox3sigma) peak typically forms at (zsim20), and their virial radius may be conveniently written as: R_{mathrm{vir}}simeq100mbox { pc} biggl(frac{M_{mathrm{vir}}}{10^{6}mbox { M}_{odot}} biggr)^{1/3} biggl(frac{1+z}{20} biggr)^{-1}.
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He owed her Florentine family a considerable debt, which was conveniently written off when the couple wed, leading his mistress to nickname her "the fat banker".
The hydrogen ion concentration in a buffer solution is, of course, still given by the usual equation, which is conveniently written as Since hydrogen ion concentrations are usually less than unity and cover an extremely wide range, it is often convenient to use instead the negative logarithm of the actual concentration, a figure that varies usually only in the range 1 13.
The Hamiltonian operator for phonon subsystem is conveniently written in terms of the phonon creation and annihilation operators: (4).
For a circular solution of radius R ψ is conveniently written as ψ ( r ) = ∫ 0 2 π ∫ 0 R w ( | r − r ′ | ) r ′ d r ′ d θ, r = ( r, θ ).
Therefore, for each value of p (or equivalently m p ), we have K+1 independent equations which can be more conveniently written in the matrix/vector form as follows: boldsymbol{S}_{p}^{(l)}(boldsymbol{theta} boldsymbol{g} = boldsymbol{0}, (17).
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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