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"defined by equation" is a correct and usable phrase in written English.
It can be used when describing a concept or idea that has a specific mathematical or scientific definition through an equation. Example: The trajectory of the projectile was defined by the equation V = u + gt, where V represents the final velocity, u the initial velocity, and g the acceleration due to gravity.
Exact(58)
This velocity gradient-defined lid base is then used to find the thermal lid base defined by Equation 35.
In the further analysis we will use value of B = 0.5. Figure 4: The map of the TES defined by Equation (5) for B = 0.5.
This can then be combined with the radiative forcing from the increase in solar output defined by equation (3) (Fig. 2a); the temporal evolution of the simple sum of these terms (ΔFCO2,sol) is shown in Fig. 2b.
On the other hand, at low temperatures (σT < 0.25) the thermal fluctuations are not able to randomize the drift towards the minimum at M1. Figure 5: Map of the TES defined by Equation (11).
Parameter defined by equation (13).
C is defined by Equation (5).
where b is defined by Equation 4.
where Φ is defined by equation (3.2).
where X P is defined by Equation 17.
Similar(2)
The sequence of frequencies defined by equation (25), known as the overtone series, plays an important part in the analysis of musical instruments and musical tone quality.
Note that in general, as defined by equation (3), is not zero because of the existence of these looped trajectories.
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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