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I want to make a list with two columns in it. I know how to use
\begin{enumerate} \item question 1 \item question 2 \end{enumerate}
But, like I said, I'd like questions 1 and 2 to be on the same line, then 3 and 4 on the next, etc. — Fly by Night (talk) 15:46, 15 November 2011 (UTC)
\begin{multicols}{2} \begin{enumerate} \item a \item b \item c \end{enumerate} \end{multicols}
To prove the differentiability of a multivariate function, it is a sufficient condition that the partial derivatives are continuous. This is not a necessary condition however, a function can be differentiable at a point even if the partial derivatives are not continuous. How does one show the differentiability of a function in this case? Consider the following function:
This function is differentiable at (0,0) even though the partial derivatives are not continuous there. How does one show this?Widener (talk) 15:49, 15 November 2011 (UTC)
If I take the Weierstrass function and consider only the interval [-1,1] (or for those who anally insist on generality, [a,b] where it is not at its global maximum or minimum), can either endpoint be considered a local max or min? The professor says that the endpoints of any continuous (but not necessarily differentiable) function will be a local minimum or maximum unless it is a constant function, but in the Weierstrass function somewhere in the middle isn't it always possible to find a value for the function in any arbitrary given interval that is smaller and larger than the value at the endpoint, due to its fractal nature? Thanks. 122.72.0.41 (talk) 23:54, 15 November 2011 (UTC)