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Re: Are there applications with functions of one variable composed of at least two different transcendental functions?

From Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com>
Newsgroups sci.physics
Subject Re: Are there applications with functions of one variable composed of at least two different transcendental functions?
Date 2018-07-25 19:35 +0200
Organization news.eternal-september.org
Message-ID <pjaccm$937$1@dont-email.me> (permalink)
References <pj9o7m$5kt$1@news.albasani.net> <pja272$16n3$1@gioia.aioe.org> <pja4ea$9il$1@news.albasani.net>

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"IV" <ivgroups@onlinehome.de> Wrote in message:

>> try   e^(i*x)
> Clearly, but this function term contains only one transcendental function: x 
> \mapsto e^x. x \mapsto i*x is algebraic, not transcendental.
> 
As e^(i*x)= cos(x) + i*sin(x),
It implicitly  contains 2 transcendental functions.

Another example is an attenuating oscillation.

y(t)=A*exp(-B*t)*sin(omega*t+file)


But I like to know, what is the background  of your question ?
It looks quite abstract, like solving a homework or an exam question.

-- 
Libor Striz aka Poutnik ( a pilgrim/wanderer/wayfarer)

"Humour is the only effective weapon against stupidity."
Miloš Forman


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Thread

Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 13:51 +0200
  Re: Are there applications with functions of one variable composed of at least two different transcendental functions? Sergio <invalid@invalid.com> - 2018-07-25 09:41 -0500
    Re: Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 17:19 +0200
      Re: Are there applications with functions of one variable composed of at least two different transcendental functions? benj <benj.fake@gmail.com> - 2018-07-25 12:24 -0400
        Re: Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 19:00 +0200
        Re: Are there applications with functions of one variable composed of at least two different transcendental functions? Sergio <invalid@invalid.com> - 2018-07-25 15:30 -0500
          Re: Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 22:46 +0200
          Re: Are there applications with functions of one variable composed of at least two different transcendental functions? benj <benj.fake@gmail.com> - 2018-07-25 20:05 -0400
      Re: Are there applications with functions of one variable composed of at least two different transcendental functions? Libor Striz <poutnik4REMOVEnntp@CAPITALSgmail.com> - 2018-07-25 19:35 +0200
        Re: Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 21:32 +0200
    Re: Are there applications with functions of one variable composed of at least two different transcendental functions? benj <benj.fake@gmail.com> - 2018-07-25 11:53 -0400
      Re: Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 18:54 +0200
        Re: Are there applications with functions of one variable composed of at least two different transcendental functions? Sergio <invalid@invalid.com> - 2018-07-25 14:41 -0500
          Re: Are there applications with functions of one variable composed of at least two different transcendental functions? "IV" <ivgroups@onlinehome.de> - 2018-07-25 22:12 +0200
            Re: Are there applications with functions of one variable composed of at least two different transcendental functions? Sergio <invalid@invalid.com> - 2018-07-25 16:46 -0500
              Re: Are there applications with functions of one variable composed of at least two different transcendental functions? benj <benj.fake@gmail.com> - 2018-07-25 20:12 -0400

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