Re: Exponent function question
- To: mathgroup at smc.vnet.net
- Subject: [mg94436] Re: [mg94362] Exponent function question
- From: Sseziwa Mukasa <mukasa at jeol.com>
- Date: Fri, 12 Dec 2008 06:59:39 -0500 (EST)
- References: <200812110844.DAA01122@smc.vnet.net>
On Dec 11, 2008, at 3:44 AM, Tuesday Shopping wrote: > Reposting the question (previous post did not make it for some reason) > > Consider a simple example: "Exponent[Sqrt[x^2+1], x]". This gives > "0" as output. > > I am trying to determine the maximum exponent of a given variable > in an expression. Is there any way to do this? I would like to get > "2" as output for the above example. > > Note that the input expression could be quite complex involving > many functions, such as trigonametric, logarithms and other > functions. However, the exponent itself (2 in the above example) is > always going to be an integer. I don't use Exponent regularly, but it seems it only works on polynomials, so you need to find the polynomials in your expression, apply exponent to each individually, and then do something with all the results such as taking the maximum exponent found. Here's a hastily contrived example: maxExponentInExpression[expr_,var_]:=Max[Most[Reap[Scan[If[PolynomialQ [#, var], Sow[Exponent[#,var]]] &, expr, Depth[expr] - 1]]]] Regards, Ssezi
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- From: Tuesday Shopping <tuesdayshopping@yahoo.com>
- Exponent function question