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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]LongRightArrow .
• Assumptions can consist of equations, inequalities, domain specifications such as x  Integers, and logical combinations of these.
• Example: Refine[Sqrt[x^2], x  Reals]LongRightArrow .
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 has the option Assumptions, with default setting $Assumptions.
Refine[expr, a, Assumptions->b] uses assumptions a && b.
• See also: Simplify, PowerExpand, Assuming.
• New in Version 5.


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