linear (preserving linear combination) in each variable

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bilinear

The function f(x,y)=xy is bilinear, because f(ax+bu,y)=a·f(x,y)+b·f(u,y) and f(x,ay+bv)=a⋅f(x,y)+b·f(x,v) for all values.

linear (preserving linear combination) in each variable
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