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About
References to 'extended real numbers'
1.
$0\ne 1$ as real numbers
by
mps
2.
$L^p$-space
by
Mathprof
3.
$\ell^p(X)$ space
by
asteroid
4.
$\mathbb{L}^p$ vs $\mathbb{L}^q$
by
yark
5.
$\sigma$-algebra
by
drini
6.
$\sigma$-algebra
by
yark
7.
a Lebesgue measurable but non-Borel set
by
gel
8.
absolutely continuous
by
Koro
9.
algebraic sum and product
by
pahio
10.
Bolyai-Gerwien theorem
by
CWoo
11.
bounded linear functionals on $L^\infty(\mu)$
by
gel
12.
centre of mass
by
stevecheng
13.
characterizing CM-fields using Dirichlet's unit theorem
by
rm50
14.
classical problems of constructibility
by
Wkbj79
15.
closure and interior of Cantor set
by
rspuzio
16.
compact pavings are closed subsets of a compact space
by
gel
17.
compactly supported continuous functions are dense in $L^p$
by
asteroid
18.
comparison between Lebesgue and Riemann Integration
by
Mathprof
19.
continuous epimorphism of compact groups preserves Haar measure
by
asteroid
20.
continuous functions on the extended real numbers
by
Wkbj79
21.
continuous poset
by
CWoo
22.
convergence of a sequence with finite upcrossings
by
gel
23.
copula
by
CWoo
24.
counter-example of Fubini's theorem for the Lebesgue integral
by
rmilson
25.
differentiation under the integral sign
by
stevecheng
26.
Dirac measure
by
Wkbj79
27.
Egorov's theorem
by
Koro
28.
entropy of a partition
by
Koro
29.
equation
by
pahio
30.
equivalent conditions for uniform integrability
by
gel
31.
essential supremum
by
gel
32.
examples of continuous functions on the extended real numbers
by
Wkbj79
33.
extended norm
by
rspuzio
34.
filtration of $\sigma$-algebras
by
gel
35.
fixed point property
by
yark
36.
Haar integral
by
rspuzio
37.
Haar measure
by
djao
38.
Hausdorff measure
by
paolini
39.
improper limits
by
pahio
40.
infinite product measure
by
CWoo
41.
intermediate value theorem for extended real numbers
by
matte
42.
interval
by
PrimeFan
43.
Jordan decomposition
by
Koro
44.
Koch curve
by
akrowne
45.
Kolmogorov zero-one law
by
fernsanz
46.
Lebesgue integral
by
djao
47.
Lebesgue integral over a subset of the measure space
by
Wkbj79
48.
limit of nth root of n
by
pahio
49.
locally integrable function
by
matte
50.
MacNeille completion
by
CWoo
51.
Mandelbrot set
by
PrimeFan
52.
martingale proof of the Radon-Nikodym theorem
by
gel
53.
measurable function
by
CWoo
54.
measure
by
djao
55.
metric entropy
by
Koro
56.
monotone class theorem
by
fernsanz
57.
operator induced by a measure preserving map
by
asteroid
58.
outer measure
by
mathcam
59.
polynomial function is a proper map
by
joking
60.
predictable process
by
gel
61.
proof of $L^p$-norm is dual to $L^q$
by
gel
62.
proof of bounded linear functionals on $L^p(\mu)$
by
gel
63.
proof of Carath\'eodory's lemma
by
gel
64.
proof of compact pavings are closed subsets of a compact space
by
gel
65.
proof of convergence of a sequence with finite upcrossings
by
gel
66.
proof of Egorov's theorem
by
Koro
67.
proof of Radon-Nikodym theorem
by
Ziosilvio
68.
proof of Vitali convergence theorem
by
stevecheng
69.
proof that $L^p$ spaces are complete
by
Simone
70.
proof that the outer (Lebesgue) measure of an interval is its length
by
Simone
71.
properties for measure
by
matte
72.
pseudoparadox in measure theory
by
rspuzio
73.
Pythagorean field
by
CWoo
74.
quadratic Julia set
by
PrimeFan
75.
Radon measure
by
ptr
76.
Radon-Nikodym theorem
by
Koro
77.
real and complex embeddings
by
alozano
78.
real closed fields
by
mathcam
79.
real number
by
djao
80.
Riemann integral
by
bbukh
81.
Riesz representation theorem (of linear functionals on function spaces)
by
asteroid
82.
self-similar fractals
by
paolini
83.
semicontinuous
by
bwebste
84.
signed measure
by
Koro
85.
signum function
by
yark
86.
simple function
by
mps
87.
stufe of a field
by
CWoo
88.
summable function
by
ehremo
89.
support of integrable function with respect to counting measure is countable
by
Wkbj79
90.
tail event
by
fernsanz
91.
Tonelli's theorem
by
jirka
92.
topic entry on real numbers
by
matte
93.
uniformly integrable
by
stevecheng
94.
uniqueness of measures extended from a $\pi$-system
by
gel
95.
Vitali convergence theorem
by
stevecheng
96.
weak-* topology of the space of Radon measures
by
stevecheng
97.
zero polynomial
by
pahio