query: Can functions satisfying these criteria exist?
positive_passages.docid: 18493
positive_passages.text: Why is an empty function considered a function?
negative_passages.docid: 20801
negative_passages.text: Application of inverse function theorem for several variable functions
negative_passages.docid: 105497
negative_passages.text: A function satisfying a series equation
negative_passages.docid: 97772
negative_passages.text: An example of a function which satisfies $\sup_{y}\inf_{x}f(x,y)<\inf_{x}\sup_{y}f(x,y)$
negative_passages.docid: 124861
negative_passages.text: The extension of smooth function
negative_passages.docid: 4084
negative_passages.text: Does there exist a holomorphic function with the following property?
negative_passages.docid: 72254
negative_passages.text: Is that true that not every function $f(x,y)$ can be writen as $h(x) g(y)$?
negative_passages.docid: 31308
negative_passages.text: Does there exist some strictly positive function such that both the derivative and second derivative are strictly negative?
negative_passages.docid: 13506
negative_passages.text: Can an unbounded function have a finite integral?
negative_passages.docid: 20568
negative_passages.text: Does the following have a solution for f(x,y)?
negative_passages.docid: 124894
negative_passages.text: Looking for a function such that...
negative_passages.docid: 28315
negative_passages.text: Monotone functions and non-vanishing of derivative
negative_passages.docid: 17154
negative_passages.text: Does a non-trivial solution exist for $f'(x)=f(f(x))$?
negative_passages.docid: 81799
negative_passages.text: Examples of functions where $f(ab)=f(a)+f(b)$
negative_passages.docid: 44293
negative_passages.text: Functions satisfying $f\left( f(x)^2+f(y) \right)=xf(x)+y$
negative_passages.docid: 49769
negative_passages.text: A function for which one-sided limits are zero and infinity
negative_passages.docid: 92638
negative_passages.text: Approximation of measurable function by simple functions