A word for fixing one of two independent variables to ___ a function of two variables into a function of one variable.

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I vaguely remember that a joint probability density $f(x,y)$ can be marginalized into a function of one variable $\int f(x,y)dx=F(y)$.

Is there a corresponding word for "collapsing" a function $f(x,y)$ of two variables into a function $g(y)=f(x,y)$ of one variable by turning one of the variables into a known constant?