Cauchy"s theory or Noll"s theorem claims that $\vect(\vecX,t;\partial \Omega) = \vect(\vecX,t;\vecN)$ where $\vecN$ is the exterior unity normal to the positively oriented surface ar $\partial \Omega$. This translates to words together the dependence of the surface communication vector ~ above the surface on which the acts is just through the common $\vecN$. My concern is what is the definition of the semicolon (;)? exactly how does it different from the comma (,) used to be separated the function"s very first two arguments?  There is no hard 2175forals.comematical difference in between the comma (,) and also the semicolon(;).

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The semicolon is used occasionally to optically separate some variable group. For this reason the semicolon is not much more than a reading aid.

The situation can be compared to the consumption of different kind that parentheses, come make complex nestings much more readable.  A semicolon is supplied to different variables native parameters. Quite often, the terms variables and parameters are supplied interchangeably, but with a semicolon the meaning is that we are defining a duty of the parameters the returns a duty of the variables.

For example, if I write $f(x1,x2,\ldots;p1,p2,\ldots)$ then I typical that by offering the parameters $(p1, p2,\ldots)$, I create a new function whose debates are $(x1, x2,\ldots)$.

So the basic syntax is $functionname(variables;parameters)$.

In Noll"s theorem it claims that the role created by offering $\partial \Omega$ is the very same as that produced by giving $\vecN$. That"s quite a nice way of saying that the function created only depends on $\vecN$. Thanks because that contributing response to 2175forals.comematics stack Exchange!

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Asking for help, clarification, or responding to other answers.Making statements based upon opinion; earlier them increase with references or an individual experience.

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