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convert/signum

convert an expression with abs to signum

convert/abs

convert an expression with signum to abs

 Calling Sequence convert(expr, signum) convert(expr, abs)

Parameters

 expr - expression

Description

 • The convert/signum function converts all abs functions appearing in the expression to signum.
 • The convert/abs function converts all signum functions appearing in the expression to abs.
 • The signum(x) calling sequence is defined as abs(x)/conjugate(x) if x is not 0, and undefined if x is 0.

Examples

 > $\mathrm{convert}\left(\mathrm{signum}\left(x\right),\mathrm{abs}\right)$
 $\frac{{x}}{\left|{x}\right|}$ (1)
 > $\mathrm{assume}\left(x,\mathrm{real}\right)$
 > $\mathrm{convert}\left(\left|x\right|,\mathrm{signum}\right)$
 $\frac{{\mathrm{x~}}}{{\mathrm{signum}}{}\left({\mathrm{x~}}\right)}$ (2)

 See Also