Refine
Usage
• Refine[expr, assum] gives the form of expr that would be obtained if symbols in it were replaced by explicit numerical expressions satisfying the assumptions assum. • Refine[expr] uses default assumptions specified by any enclosing Assuming constructs.
Notes
• Example: Refine[Sqrt[x^2], x > 0]  . • Assumptions can consist of equations, inequalities, domain specifications such as x Integers, and logical combinations of these. • Example: Refine[Sqrt[x^2], x Reals]  . • Refine can be used on equations, inequalities and domain specifications. • Quantities that appear algebraically in inequalities are always assumed to be real. • Refine is one of the transformations tried by Simplify. • Refine[expr, a, Assumptions->b] uses assumptions a && b. • New in Version 5.
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