ExpandAll

Description

  • ExpandAll expands out all products and integer powers in any parts of expressions.
  • ExpandAll[transformations] expands out products and positive integer powers in any parts of expressions and applies transformations at each level of expand procedure.

Examples

Expand polynomials anywhere inside an expression:

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println ExpandAll >> '1/(1 + x)**3 + Sin[(1 + x)**3]'.t
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> 1/(x**3 + 3*x**2+3*x+1) + Sin[x**3 + 3*x**2+3*x+1]
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println Expand >> '1/(1 + x)**3 + Sin[(1 + x)**3]'.t
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> 1/(1 + x)**3 + Sin[(1 + x)**3]'

Details

ExpanAll[transformations] will additionally apply transformations during expand procedure (same as Expand):

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def t = ''' 1/((g_mn + t_mn)*(g^mn + t^mn))  +
            + Sin[((g_mn + t_mn)*(g^mn + t^mn))]'''.t
//expand all and eliminate metrics in 4 dimensions
println ExpandAll[EliminateMetrics & 'd^i_i = 4'.t] >> t
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> 1/(t^{mn}*t_{mn}+4+2*t_{n}^{n}) + Sin[t^{mn}*t_{mn}+4+2*t_{n}^{n}]

For examples see also Expand.

See also