Cauchy"s theory or Noll"s theorem states that $\vect(\vecX,t;\partial \Omega) = \vect(\vecX,t;\vecN)$ whereby $\vecN$ is the external unity normal to the positive oriented surface ar $\partial \Omega$. This equates to words as the dependence of the surface interaction vector top top the surface on which it acts is just through the common $\vecN$. My concern is what is the meaning of the semicolon (;)? just how does it differ from the comma (,) supplied to be separate the function"s first two arguments?



There is no difficult derekwadsworth.comematical difference in between the comma (,) and also the semicolon(;).

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The semicolon is used periodically to optically separate some variable group. So the semicolon is not an ext than a analysis aid.

The case can be compared to the usage of various kind the parentheses, come make complex nestings more readable.



A semicolon is used to separate variables from parameters. Rather often, the state variables and also parameters are offered interchangeably, but with a semicolon the meaning is that us are defining a function of the parameters that returns a duty of the variables.

For example, if I write $f(x1,x2,\ldots;p1,p2,\ldots)$ climate I median that by providing the parameters $(p1, p2,\ldots)$, I develop a brand-new function whose debates are $(x1, x2,\ldots)$.

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

In Noll"s to organize it states that the role created by providing $\partial \Omega$ is the same as that produced by giving $\vecN$. That"s rather a nice way of saying the the role created only depends top top $\vecN$.


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