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?


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There is no hard 2175forals.comematical difference in between the comma (,) and also the semicolon(;).

You are watching: What does a semicolon mean in math

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.


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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 $\vecN$.


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