query: Find every possible function that fits the criteria
positive_passages.docid: 19019
positive_passages.text: Find all functions $f:\Bbb{Q}\rightarrow \Bbb{Q}$ such that $f(x)+f(t)=f(y)+f(z)$ for all rational numbers $x<y<z<t$ that form an AP
negative_passages.docid: 141938
negative_passages.text: Find all continuous functions from positive reals to positive reals such that $f(x)^2=f(x^2)$
negative_passages.docid: 17624
negative_passages.text: Axiom of Choice iff Every set has a choice function
negative_passages.docid: 132488
negative_passages.text: Find all entire functions $f(z)$ such that $|f(z)|=1$ for $|z|=1$
negative_passages.docid: 104278
negative_passages.text: Finding function $f(x)$ which satisfy given functional equation
negative_passages.docid: 26754
negative_passages.text: Find all continuous functions satisfying $\int_0^xf=(f(x))^2+C$ for some constant $C \neq 0$.
negative_passages.docid: 144742
negative_passages.text: Print out all functions in Mathematica
negative_passages.docid: 67683
negative_passages.text: Building logical criteria (with AND , OR, etc)
negative_passages.docid: 82597
negative_passages.text: How to find $ f(x)$ if $f(1-f(x))=x$ for all $x$ $\in \mathbb{R}$
negative_passages.docid: 84143
negative_passages.text: Given any function $g(x): \mathbb{R} \rightarrow \mathbb{R}$, find a function $f(x)$ such that $f(f(x)) = g(x)$.
negative_passages.docid: 86473
negative_passages.text: Find all entire functions such that $|f(z)|\leq |\sin(z)|$ for all $z\in\mathbb C$.
negative_passages.docid: 110142
negative_passages.text: 1-1 Function Composition
negative_passages.docid: 109942
negative_passages.text: Find continuous functions such that $f(x+y)+f(x-y)=2[f(x)+f(y)]$
negative_passages.docid: 129599
negative_passages.text: Functional Equation: Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $(x+y)(f(x)-f(y))=(x-y)f(x+y)$
negative_passages.docid: 36287
negative_passages.text: How to create all possible permutations?
negative_passages.docid: 17406
negative_passages.text: Determine all the extrema of a function subject to a non-linear constraint.
negative_passages.docid: 75448
negative_passages.text: Find all function satisfying $f(f(n))+f(n)=2n+3k$