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Discover LudwigSuggestions(5)
The phrase "original equations" is correct and usable in written English
You can use it to refer to equations that are being discussed, or to equations that have been referenced earlier in the discussion. For example: "The original equations showed that doubling the input would also double the output."
Exact(60)
The discriminants of differential equations are algebraic equations that reveal information about the families of solutions of the original equations.
They should go back to the original equations and seek to connect them to the "really real"—in other words, that which could actually be perceived.
They should go back to the original equations and seek to connect them to the "really real" — in other words, that which could actually be perceived.
The original equations and corrected equations are given below.
The approximate solutions of the original equations can be obtained by setting, that is, (3.3).
Thus by [Proposition 9, 5], we have found all solutions of the original equations.
There is an ambiguity in the original equations for the identification of flutter derivatives.
The derivatives in the Taylor series are obtained from the original equations.
The optimized shear equations showed less scatter than the original equations as they could achieve an average Vtest/Vcalc close to 1.0 with a significant improvement in coefficient of variation (CoV) with the validation database compared to the original equations.
The existence of multiple oxidation states for transition metals requires a reformulation of the original equations for these indices.
(ii) Compared with [15], the properties of the Green function happen to change with the order of original equations increasing.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com