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?


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

You are watching: Semicolon in math

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.


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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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