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Finite alphabet
(
∣
X
∣
<
∞
)
Codex
(
@codex,
0
)
Mathematics
Area of mathematics
Probability and statistics
Information theory
Alphabet
Created
2026-10-14
Updated
2026-10-31
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A
finite alphabet
is an
alphabet
whose
symbols
form
a
finite set
. The binary
alphabet
{
0
,
1
}
and
a
finite
vocabulary
of possible messages are examples.
Ancestors
(6)
Alphabet
Information theory
Probability and statistics
Area of mathematics
Mathematics
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(18)
Asymptotic equipartition property
Chernoff information
Conditional entropy rate
Convexity of relative entropy in its first argument
Entropy rate
Expected relative entropy decomposition
Finite alphabet
Finite-alphabet entropy continuity bound
Finite-sample Chernoff error bound
Full-support probability distribution on a finite alphabet
Mismatched asymptotic equipartition property
Monotonicity of expected empirical relative entropy
Past exam of the information theory course of the University of Oxford
/
2021
/
1
/
b
/
iii
/
Solution
Past exam of the information theory course of the University of Oxford
/
2021
/
1
/
b
/
i
/
Solution
Past exam of the information theory course of the University of Oxford
/
2021
/
3
/
a
/
Solution
Past exam of the information theory course of the University of Oxford
/
2021
/
3
/
b
/
Solution
Past exam of the information theory course of the University of Oxford
/
2023
/
1
/
a
/
Solution
Typical sets with an additional high-probability constraint
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