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New posts in rational-numbers
Enumeration of rationals from Stein-Shakarchi's Real Analysis (Chapter 1, Exercise 24)
real-analysis
real-numbers
rational-numbers
The "guess the number" game for arbitrary rational numbers?
algorithm
math
puzzle
rational-numbers
Let $x^3+\frac{1}{x^3}$ and $x^4+\frac{1}{x^4}$ are rational numbers. Show that $x+\frac{1}{x}$ is rational.
solution-verification
rational-numbers
rationality-testing
Show that the numerator of $1+\frac12 +\frac13 +\cdots +\frac1{96}$ is divisible by $97$
algebra-precalculus
elementary-number-theory
summation
divisibility
rational-numbers
Proving that $\sqrt{13+\sqrt{52}} - \sqrt{13}$ is irrational.
proof-writing
radicals
irrational-numbers
rational-numbers
Are there infinitely many rational outputs for sin(x) and cos(x)?
trigonometry
rational-numbers
Is it true that $\left(-\frac{1}{64}\right)^{-\frac 43}=256$? [duplicate]
algebra-precalculus
exponentiation
rational-numbers
fake-proofs
paradoxes
Representation of positive rational numbers as series. [duplicate]
elementary-number-theory
rational-numbers
Convergence of $\sum_{n}\frac{q_n}{n}$, where $(q_n)$ enumerates $\mathbb{Q}\cap[0,1]$?
sequences-and-series
rational-numbers
Why is $x^3-5x$ injective on the rationals?
number-theory
polynomials
rational-numbers
Show that the set of polynomials with rational coefficients is countable.
polynomials
proof-verification
proof-writing
rational-numbers
Minimal $ab$ for Rational Number $a/b$ in an Interval
elementary-number-theory
rational-numbers
continued-fractions
farey-sequences
About the continuity of the function $f(x) = \sum\limits_k2^{-k}\mathbf 1_{q_k \leq x}$
real-analysis
continuity
irrational-numbers
rational-numbers
Rational values of trigonometric functions
trigonometry
rational-numbers
The set of rationals has the same cardinality as the set of integers
elementary-set-theory
integers
rational-numbers
Niven’s theorem proof.
trigonometry
rational-numbers
rational-functions
Remarkable/unexpected rational numbers
soft-question
math-history
irrational-numbers
big-list
rational-numbers
Orbits of vectors under the action of $\mathrm{GL}_n(\mathbb Q)$
linear-algebra
geometry
linear-transformations
group-actions
rational-numbers
Infinite number of rationals between any two reals.
rational-numbers
Determine all functions satisfying $f\left ( f(x)^{2}y \right )=x^{3}f(xy)$
algebra-precalculus
contest-math
functional-equations
rational-numbers
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