Are two continues function equal, if they have same values for rational numbers?
2321
Can there be two distinct, continuous functions that are equal at all rationals?
53612
Same solution implying row equivalence?
63894
These two sequences have the same limit
22408
Jutifying: irrational + rational = irrational
9966
Range of a Rational Function
138977
Infinitely many rational numbers between two different real numbers
77074
If $ f(f(f(x)))=x$, does$ f(x)=x$ necessarily follow?
62947
If $f(x)$ is equal to $x$ or $1-x$ when $x$ is rational/irrational, then $f$ is continuous only at $x=1/2$
135458
When is a sum of consecutive squares equal to a square?
137534
For what ordinals does $1+\alpha=\alpha$ hold? For what ordinals does $2\alpha=\alpha$ hold?
1117
Is there a bijection between $(0,1)$ and $\mathbb{R}$ that preserves rationality?
31701
Check if two integers have the same sign
127848
Determine which Fibonacci numbers are even
80199
Do we have always $f(A \cap B) = f(A) \cap f(B)$?
36983
Does there exist a continuous function such that f(x) is rational for every irrational x, and f(x) is irrational for every rational x?
13688
Why are these numbers not equal?
6482
Why aren't the functions $f(x) = \frac{x-1}{x-1}$ and $f(x) = 1$ the same?