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Re: Re: can anyone solve this equation?
*To*: mathgroup at smc.vnet.net
*Subject*: [mg58186] Re: [mg58159] Re: can anyone solve this equation?
*From*: Paul Abbott <paul at physics.uwa.edu.au>
*Date*: Tue, 21 Jun 2005 06:03:20 -0400 (EDT)
*References*: <d8rhj9$i7n$1@smc.vnet.net> <200506200952.FAA26966@smc.vnet.net> <acbec1a4050620141519a78e91@mail.gmail.com>
*Sender*: owner-wri-mathgroup at wolfram.com
>I agree that subscripted expressions look better. However, I run into
>many instances where Mathematica does not treat subscripted variables
>as symbols.
Symbolize in Utilities`Notation` is designed to do exactly that (and
in some display formats, such as InputForm, it automatically actually
uses \[UnderBracket] anyway).
>Notation commands with appropriate pattern matching can
>take care of converting the unbracketed expressions to more easily
>readable ones, but I didn't want to complicate the situation any more
>than it already was.
Indeed -- to even read and digest your expression I used
pattern-matching several times to reduce the expression to something
more manageable.
Cheers,
Paul
>Sincere thanks to both Paul and Pratik for the solutions; I will be
>testing them shortly.
>
>On 6/20/05, Paul Abbott <paul at physics.uwa.edu.au> wrote:
>> In article <d8rhj9$i7n$1 at smc.vnet.net>,
>> Chris Chiasson <chris.chiasson at gmail.com> wrote:
>>
>> > Can anyone solve the following equation (for theta_4)?
>>
>> Essentially, you are solving the equation
>>
>> FullSimplify[Solve[a - Cos[t] - Sqrt[R^2 - Sin[t]^2] == x, t]]
>>
>> where x = 2 n rhs/d is a constant multiple of your right-hand side, rhs,
>> t is theta_4, and a = R + 2/(c - 1) + 1. This is, of course, trivial. I
>> expect that Solve struggles with your expression because of the length
>> and/or complexity of rhs.
>>
>> To me, using \[UnderBracket] makes your input expression unreadable.
>> Only an engineer would work with such expressions!
>>
>> Personally, I like using subscripted expressions in Mathematica. They
>> are not without their difficulties and subtleties -- but are preferable
>> to using \[UnderBracket].
>>
>> Cheers,
>> Paul
>>
>> --
>> Paul Abbott Phone: +61 8 6488 2734
>> School of Physics, M013 Fax: +61 8 6488 1014
>> The University of Western Australia (CRICOS Provider No 00126G)
>> AUSTRALIA http://physics.uwa.edu.au/~paul
>> http://InternationalMathematicaSymposium.org/IMS2005/
>>
>>
>
>
>--
>Chris Chiasson
>http://chrischiasson.com/
>1 (810) 265-3161
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