Unsolved Problems
There are still simply-stated unsolved problems remaining in Diophantine approximation, for example the Littlewood conjecture. It is also unknown if there are algebraic numbers with unbounded coefficients in their continued fraction expansion.
Read more about this topic: Diophantine Approximation
Famous quotes related to unsolved problems:
“Play permits the child to resolve in symbolic form unsolved problems of the past and to cope directly or symbolically with present concerns. It is also his most significant tool for preparing himself for the future and its tasks.”
—Bruno Bettelheim (20th century)
“The child knows only that he engages in play because it is enjoyable. He isn’t aware of his need to play—a need which has its source in the pressure of unsolved problems. Nor does he know that his pleasure in playing comes from a deep sense of well-being that is the direct result of feeling in control of things, in contrast to the rest of his life, which is managed by his parents or other adults.”
—Bruno Bettelheim (20th century)