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Cauchy–Schwarz Inequality
Cauchy–Schwarz Inequality
📜
The statement of the theorem
For any vectors
u
u
u
and
v
v
v
in an inner product space,
∣
⟨
u
,
v
⟩
∣
2
≤
⟨
u
,
u
⟩
⋅
⟨
v
,
v
⟩
|\langle u, v \rangle|^2 \le \langle u, u \rangle \cdot \langle v, v \rangle
∣
⟨
u
,
v
⟩
∣
2
≤
⟨
u
,
u
⟩
⋅
⟨
v
,
v
⟩
.
Source: Wikipedia