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Oct
10
comment I don't understand why we represent functions $f:I \subseteq \Bbb R \to \Bbb R^2$ the way we do.
Also note that for 1-argument functions the image is usually just an interval on the real line, not an interesting set. For this reason interesting images (such as parametric curves) usually appear for 2-argument (or more arguments) functions. This was the exact reason of your confusion, when you switched from 1-argument to 2-argument functions
Oct
10
answered I don't understand why we represent functions $f:I \subseteq \Bbb R \to \Bbb R^2$ the way we do.
Oct
10
asked Locally monotone function is monotone
Oct
9
answered Another conjecture about $C^1$ integral curves
Oct
8
comment Another conjecture about $C^1$ integral curves
Probably we can build a counter-example based on $f(x) = \begin{cases}x^2\sin{(\tfrac{1}{x})} & \mbox{if }x \neq 0, \\ 0 &\mbox{if }x = 0\end{cases}$ from en.wikipedia.org/wiki/Smoothness
Oct
8
comment Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
Another similar conjecture: math.stackexchange.com/questions/1470877/…
Oct
8
asked Another conjecture about $C^1$ integral curves
Oct
8
revised Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
edited body
Oct
8
answered Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
Oct
8
revised Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
edited tags
Oct
8
revised Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
added 7 characters in body
Oct
8
revised Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
added 92 characters in body
Oct
8
revised Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
[Edit removed during grace period]
Oct
8
revised Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
edited body
Oct
8
asked Prove (in an abstract setting) that a function is right differentiable and the right derivative is continuous
Oct
6
accepted Two ways to describe image of a filter under a function
Oct
6
comment Two ways to describe image of a filter under a function
"minus" -> "minutes" in my previous comment
Oct
6
comment Two ways to describe image of a filter under a function
Hm, I spent around ten minus trying to prove this, yet without success. I expected it to be easier. Any proof (not only the shortest one) would be helpful
Oct
6
comment Two ways to describe image of a filter under a function
I wonder that Google for ("filter image" | "image of filter") function set "filter base" does not find relevant enough results
Oct
6
asked Two ways to describe image of a filter under a function