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Discover LudwigThe phrase "the equations" is correct and usable in written English
You can use it when referring to specific mathematical statements or formulas that express relationships between variables.
Example: "To solve the problem, we need to analyze the equations provided in the textbook."
Alternatives: "the formulas" or "the mathematical expressions"
Dictionary
the equations
noun
The act or process of equating two or more things, or the state of those things being equal (that is, identical).
synonyms
Exact(58)
The equations went unsolved.
The equations of life no longer worked.
The equations may not be independent, however.
And the equations themselves are beautiful.
But how to account for the equations?
Different numerical inputs into the equations generate different pictures.
The equations are a type known as a hypergeometric series.
This makes a symmetry of the equations apparent.
The equations remain true even when time flowed backward.
As he worked through the equations, one step stood out.
I would want the beauty and power of the equations.
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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