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About
References to 'irrational'
1.
$e^r$ is irrational for $r\in\mathbb{Q}\setminus\{0\}$
by
Cosmin
2.
$\pi$ and $\pi^2$ are irrational
by
mathcam
3.
$\sqrt[n]{2}$ is irrational for $n\ge 3$ (proof using Fermat's last theorem)
by
matte
4.
a Lebesgue measurable but non-Borel set
by
gel
5.
a pathological function of Riemann
by
pahio
6.
addition
by
PrimeFan
7.
All unnatural square roots are irrational
by
ubershmekel
8.
alternative proof that $\sqrt{2}$ is irrational
by
Wkbj79
9.
another proof of the non-existence of a continuous function that switches the rational and the irrational numbers
by
neapol1s
10.
Ap\'ery's constant
by
bbukh
11.
axiom of determinacy
by
CWoo
12.
Beatty's theorem
by
drini
13.
Briggsian logarithms
by
pahio
14.
classification of complex numbers
by
pahio
15.
commensurable numbers
by
pahio
16.
comparison between Lebesgue and Riemann Integration
by
Mathprof
17.
continued fraction
by
PrimeFan
18.
continuity of composition of functions
by
bbukh
19.
Davenport-Schmidt theorem
by
Daume
20.
decimal expansion
by
pahio
21.
Dedekind cuts
by
rmilson
22.
dense in-itself
by
rspuzio
23.
dense set
by
yark
24.
dense total order
by
mps
25.
Dirichlet's approximation theorem
by
Koro
26.
Dirichlet's function
by
mathcam
27.
Donald Knuth
by
PrimeFan
28.
e is irrational
by
mathwizard
29.
e is not a quadratic irrational
by
mathcam
30.
Euler product
by
bbukh
31.
Euler's constant
by
akrowne
32.
Farey sequence
by
ariels
33.
Fraenkel's partition theorem
by
Kevin OBryant
34.
function continuous at only one point
by
Andrea Ambrosio
35.
Gelfond's theorem
by
mathcam
36.
high school mathematics
by
matte
37.
if $a^n$ is irrational then ${a}$ is irrational
by
Wkbj79
38.
index of important irrational constants
by
PrimeFan
39.
integer contraharmonic means
by
pahio
40.
irrational to an irrational power can be rational
by
Koro
41.
Joseph Liouville
by
PrimeFan
42.
Liouville approximation theorem
by
KimJ
43.
Liouville number
by
PrimeFan
44.
mathematics vocabulary
by
matte
45.
MatheRealism
by
WM
46.
method for computing simple continued fractions with the aid of calculator and pencil and paper
by
PrimeFan
47.
no continuous function switches the rational and the irrational numbers
by
yark
48.
non-isomorphic completions of $\mathbb{Q}$
by
pahio
49.
nonempty perfect subset of $\mathbb{R}$ that contains no rational number, a
by
Gorkem
50.
normal number
by
AxelBoldt
51.
number
by
pahio
52.
number theory
by
olivierfouquetx
53.
p-adic canonical form
by
pahio
54.
pathological
by
CWoo
55.
periodic continued fractions represent quadratic irrationals
by
rm50
56.
Pi-Search Page
by
PrimeFan
57.
prime constant
by
mathcam
58.
proof
by
PrimeFan
59.
proof of Beatty's theorem
by
lieven
60.
proof of Dehn's theorem
by
paolini
61.
proof of Lindemann-Weierstrass theorem and that e and $\pi$ are transcendental
by
rm50
62.
proof of the power rule
by
mathcam
63.
proof that $\sqrt{2}$ is irrational
by
Wkbj79
64.
proof that the rationals are countable
by
alozano
65.
purely periodic continued fractions
by
rm50
66.
rational and irrational
by
pahio
67.
rational Briggsian logarithms of integers
by
pahio
68.
reductio ad absurdum
by
gribskoff
69.
regular space
by
drini
70.
ruler function
by
yesitis
71.
scattered space
by
CWoo
72.
sets where sequence of continuous functions diverge
by
yotam
73.
Smarandache function
by
dankomed
74.
spaces homeomorphic to Baire space
by
gel
75.
square root
by
Wkbj79
76.
square root of 2
by
MathNerd
77.
square root of 3
by
PrimeFan
78.
square root of 5
by
MathNerd
79.
square roots of rationals
by
pahio
80.
Stern-Brocot tree
by
bbukh
81.
surd
by
mathwizard
82.
temporary index 3 of number theory topics
by
PrimeFan
83.
test for hexagonal numbers
by
PrimeFan
84.
the top 10 most beautiful theorems
by
PrimeFan
85.
theory of algebraic and transcendental numbers
by
alozano
86.
theory of rational and irrational numbers
by
alozano
87.
topic entry on real numbers
by
matte
88.
totally disconnected space
by
Dr_Absentius
89.
using the primitive element of biquadratic field
by
pahio
90.
values of $\frac{F_n}{F_{n - 1}}$ for $1 < n < 26$
by
PrimeFan
91.
Wac\l{}aw Sierpi\'nski
by
PrimeFan
92.
Weyl's criterion
by
bbukh