Modern 4DVarContent License: Creative Commons Attribution 4.0 International (CC-BY-4.0)Credit must be given to the creatorDownloadsContinuous RepresentationWhat do we actually want?J. Emmanuel JohnsonCNRS MEOM TLDR u⃗=u⃗(x⃗,t):RDs×R+→RDu \vec{\boldsymbol{u}} = \vec{\boldsymbol{u}}(\vec{\mathbf{x}},t): \mathbb{R}^{D_s}\times\mathbb{R}^+ \rightarrow \mathbb{R}^{D_u}u=u(x,t):RDs×R+→RDu(1)Data RepresentationsGeometryData RepresentationsDiscrete