This is more of a language question, but it seems backwards to me. How is it that the equations are in the variables? My intuition tells me that that the variables are in the equations. Is it the same thing?
2026-04-17 11:00:11.1776423611
Why is a set of $n$ equations in $k$ variables?
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The phrase is elliptic. The intent is to describe a set of $n$ equations, expressed in $k$ variables. In this context, the preposition in is synonymous with via or through.