Mercurial > repos > pointsource_algs / file comparison
comparison: src/transport.rs
src/transport.rs
- branch
- dev
- changeset 34
- efa60bc4f743
- parent 32
- 56c8adc32b09
equal
deleted
inserted
replaced
| 33:aec67cdd6b14 | 34:efa60bc4f743 |
|---|---|
| 9 /// Returns the transport Lipschitz factor of Self. | 9 /// Returns the transport Lipschitz factor of Self. |
| 10 /// | 10 /// |
| 11 /// If `Self` is a linear operator $A$ on $ℳ(Ω)$, and `Cost` represents the spatial | 11 /// If `Self` is a linear operator $A$ on $ℳ(Ω)$, and `Cost` represents the spatial |
| 12 /// cost function $c$, this factor $L$ is such that, for all $0 ≤ λ ∈ ℳ(Ω^2)$, | 12 /// cost function $c$, this factor $L$ is such that, for all $0 ≤ λ ∈ ℳ(Ω^2)$, |
| 13 /// $$ | 13 /// $$ |
| 14 /// \norm{A(π_\#^1-π_\#^0)λ}^2 ≤ L^2 \norm{λ}_{ℳ(Ω^2)} ∫ c(x, y) dλ(x, y). | 14 /// \norm{A(π_\#^1-π_\#^0)λ}^2 ≤ L \norm{λ}_{ℳ(Ω^2)} ∫ c(x, y) dλ(x, y). |
| 15 /// $$ | 15 /// $$ |
| 16 fn transport_lipschitz_factor(&self, cost : Cost) -> Self::FloatType; | 16 fn transport_lipschitz_factor(&self, cost : Cost) -> Self::FloatType; |
| 17 } | 17 } |
