Cauchy"s Hypothesis or Noll"s theorem says that $vect(vecX,t;partial Omega) = vect(vecX,t;vecN)$ where $vecN$ is the outward unity normal to the positively oriented surconfront $partial Omega$. This translates to words as the dependence of the surface interactivity vector on the surface on which it acts is only through the normal $vecN$. My question is what is the definition of the semicolon (;)? How does it differ from the comma (,) used to separated the function"s first two arguments?


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Tright here is no hard jiyuushikan.orgematical distinction between the comma (,) and also the semicolon(;).

You are watching: What does a semicolon mean in math

The semicolon is used sometimes to optically separate some variable team. So the semicolon is not even more than a reading aid.

The instance have the right to be compared to the usage of different sort of parentheses, to make complex nestings more readable.


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A semicolon is supplied to separate variables from parameters. Quite regularly, the terms variables and parameters are supplied interchangeably, yet with a semicolon the meaning is that we are specifying a function of the parameters that returns a role of the variables.

For example, if I compose $f(x1,x2,ldots;p1,p2,ldots)$ then I expect that by supplying the parameters $(p1, p2,ldots)$, I create a new feature whose debates are $(x1, x2,ldots)$.

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

In Noll"s theorem it says that the feature developed by providing $partial Omega$ is the same as that produced by offering $vecN$. That"s fairly a nice way of saying that the attribute developed only relies on $vecN$.


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