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New posts in irrational-numbers
Can you raise a Matrix to a non integer number? [duplicate]
matrices
irrational-numbers
exponentiation
Is it possible to prove the positive root of the equation ${^4}x=2$, $x=1.4466014324...$ is irrational?
irrational-numbers
exponentiation
tetration
transcendental-equations
Proving that for each prime number $p$, the number $\sqrt{p}$ is irrational [duplicate]
elementary-number-theory
radicals
irrational-numbers
rationality-testing
Are irrational numbers completely random?
probability
sequences-and-series
random
infinity
irrational-numbers
Show that if m/n is a good approximation of $\sqrt{2}$ then $(m+2n)/(m+n)$ is better
approximation
irrational-numbers
rational-numbers
Sum of two irrational radicals is irrational?
abstract-algebra
number-theory
elementary-number-theory
radicals
irrational-numbers
Visual representation of the fact that there are more irrational than rational numbers.
irrational-numbers
rational-numbers
visualization
Why does this iterative way of solving an equation work?
real-analysis
sequences-and-series
recurrence-relations
irrational-numbers
Cubic polynomial with three (distinct) irrational roots
polynomials
roots
irrational-numbers
cubics
Is every irrational number containing only $2$ distinct digits, transcendental?
number-theory
irrational-numbers
decimal-expansion
transcendental-numbers
Is this known about $\pi$?
irrational-numbers
pi
conjectures
Successive records in mathematical sequences: surprising result
sequences-and-series
number-theory
probability-theory
irrational-numbers
continued-fractions
Which irrationals are contained in the Cantor set?
irrational-numbers
real-numbers
cantor-set
Non standard solution to $f(x) = \frac{1}{2}\Big(f(\frac{x}{2}) + f(\frac{1+x}{2})\Big)$
real-analysis
sequences-and-series
irrational-numbers
density-function
Non-existence of irrational numbers?
infinity
irrational-numbers
transcendental-numbers
prove that $2\sqrt5 +\sqrt{11}$ is irrational
algebra-precalculus
proof-writing
irrational-numbers
rational-numbers
For each irrational number $b$, does there exist an irrational number $a$ such that $a^b$ is rational?
number-theory
exponentiation
irrational-numbers
rational-numbers
If $(a_n)$ is increasing and $\lim_{n\to\infty}\frac{a_{n+1}}{a_1\dotsb a_n}=+\infty$ then $\sum\limits_{n=1}^\infty\frac1{a_n}$ is irrational
number-theory
irrational-numbers
The proportion of binary digits of $\sum_{k=1}^\infty \Big\lfloor{\frac{k}{2}\sqrt{p}\Big\rfloor}\cdot2^{-k}$ equal to one, is $> 0.978$ if $p=143$.
number-theory
probability-theory
irrational-numbers
binary
why is PI considered irrational if it can be expressed as ratio of circumference to diameter? [duplicate]
irrational-numbers
fractions
pi
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