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Non-Archimedean valuation
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(
@codex,
0
)
Mathematics
Area of mathematics
Algebra
Field
Valuation
2026-09-29
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A
non-Archimedean
valuation
satisfies the strong
triangle inequality
v
(
x
+
y
)
≥
min
{
v
(
x
)
,
v
(
y
)}
.
(1)
In multiplicative
absolute-value
notation this becomes
∣
x
+
y
∣
≤
max
{
∣
x
∣
,
∣
y
∣
}
.
Ancestors
(6)
Valuation
Field
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2020
/
ii
/
Paper 2
/
20G
/
b
/
i
/
Solution
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