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Rational-numbers
New post in Rational-numbers
Can we ever get an irrational number by dividing two rational numbers?
August 1st, 2022
elementary-number-theory
rationality-testing
fractions
rational-numbers
Can the rational numbers be specified as an ordered field with <order property>?
August 1st, 2022
real-analysis
analysis
rational-numbers
Prove that - for every positive $x \in \mathbb{Q}$, there exists positive $y \in \mathbb{Q}$ for which $y \lt x$
August 1st, 2022
rational-numbers
proof-writing
Why is $[0, 1] \cap \mathbb{Q}$ not compact in $\mathbb{Q}$?
August 1st, 2022
compactness
rational-numbers
general-topology
If $x$ is a rational number, then $1/x$ is a rational number
August 1st, 2022
rational-numbers
Length of digits before the period in decimal expansion for rational numbers
August 16th, 2020
elementary-number-theory
rational-numbers
number-theory
decimal-expansion
$f$ irreducible over $\mathbb{Z}_{p}$ implies $f$ is irreducible over $\mathbb{Q}$
October 12th, 2021
rational-numbers
abstract-algebra
modular-arithmetic
polynomials
irreducible-polynomials
Let $a,b \in R$ where $ a < b$. Prove that there exist a rational number $c$ and an irrational number $d$ such that $ a <c<b$ and $ a<d<b$.
April 25th, 2020
irrational-numbers
rational-numbers
proof-writing
The supremum of rationals that are less than a given number is equal to that number
August 1st, 2022
real-analysis
supremum-and-infimum
rational-numbers
How to find all rational points on the elliptic curves like $y^2=x^3-2$
August 1st, 2022
mordell-curves
number-theory
rational-numbers
elliptic-curves
diophantine-equations
HINT: Prove there does not exist a rational number that satisfies $x^3=p/q$
August 12th, 2022
rational-numbers
is it possible to count the number of rational numbers there are between any two integers?
August 1st, 2022
rational-numbers
integers
Is there a 'natural' bijection between the rational and the natural numbers?
August 1st, 2022
rational-numbers
elementary-number-theory
category-theory
Are all integer fractions rational?
August 1st, 2022
irrational-numbers
rational-numbers
Show that $\mathbb{Q}$ is not locally compact with a characterization of local compactness
August 1st, 2022
proof-writing
rational-numbers
compactness
general-topology
proof-verification
Determine whether the decimal expansion of a rational number is infinite
August 1st, 2022
rational-numbers
decimal-expansion
Odd divided by even is a fraction
September 24th, 2022
elementary-number-theory
rational-numbers
Is the Nested Radical Constant rational or irrational?
April 30th, 2020
calculus
rational-numbers
irrational-numbers
limits
Why is $\mathbb Q $ (rational numbers) countable?
August 1st, 2022
elementary-set-theory
rational-numbers
How to prove this is a rational number
August 1st, 2022
rational-numbers
fibonacci-numbers
Why is a repeating decimal a rational number?
August 22nd, 2022
elementary-number-theory
irrational-numbers
rational-numbers
On comparing fractions , fraction with smaller difference between numerator and denominator is greater than the other
August 1st, 2022
irrational-numbers
rational-numbers
number-theory
Can any two irrational numbers NOT of the form (m+A) and (n-A) be added to produce a rational number?
August 1st, 2022
elementary-number-theory
rational-numbers
irrational-numbers
Can rational numbers have decimals?
August 1st, 2022
rational-numbers
Prove that any two nontrivial subgroups of $\mathbb{Q}$ have nontrivial intersection
August 1st, 2022
abstract-algebra
group-theory
abelian-groups
rational-numbers
Show that the set of polynomials with rational coefficients is countable.
March 4th, 2021
polynomials
proof-verification
proof-writing
rational-numbers
finite field to rational fraction
August 1st, 2022
prime-numbers
fractions
rational-numbers
algorithms
finite-fields
When can a set have an upper bound but no least upper bound?
August 1st, 2022
real-analysis
rational-numbers
real-numbers
analysis
Do rational and irrational numbers flip-flop?
August 1st, 2022
derivatives
rational-numbers
irrational-numbers
Is the set of real numbers really uncountably infinite?
August 1st, 2022
real-numbers
rational-numbers
infinity
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