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Expand file tree Collapse file tree Original file line number Diff line number Diff line change @@ -56,7 +56,7 @@ as large, evolving software systems. In many modern applications—remote
5656sensing retrieval chains, satellite calibration pipelines, high‑resolution
5757climate data processing—the “measurement device” is not a static laboratory
5858instrument with a simple response model, but a complex codebase that changes
59- as algorithms, parameterisations , and dependencies are updated. The genuine
59+ as algorithms, parameterization , and dependencies are updated. The genuine
6060forward map from inputs to outputs is whatever the current version of the
6161code computes. Maintaining an analytical model and its hand‑derived Jacobians
6262in sync with such a code is labour‑intensive and error‑prone, and often not
Original file line number Diff line number Diff line change @@ -19,7 +19,7 @@ objects rather than forcing the uncertainty calculus into a fixed set of
1919closed‑form formulas.
2020
2121The ideas presented here grew out of earlier project-specific implementations
22- of AD-based uncertainty propagation for harmonised satellite calibration
22+ of AD-based uncertainty propagation for harmonized satellite calibration
2323workflows underpinning fundamental climate data records.
2424
2525## Synopsis
@@ -37,7 +37,7 @@ deliver 3D data, and Earth climate records form 4D datasets—with ocean
3737and atmosphere data reaching up to 5D. Applying standard matrix-based
3838uncertainty propagation requires flattening these N-D arrays into 1D
3939vectors, which obscures the vital spatiotemporal structure of both the
40- data and the algorithms designed to analyze it. Tensors are the ideal
40+ data and the algorithms designed to analyse it. Tensors are the ideal
4141solution, and the law of propagation of uncertainty, when formulated
4242and coded in general tensor form, is elegantly beautiful. If you’re curious,
4343compare [ NIST TN 1297] ( https://www.nist.gov/pml/nist-technical-note-1297/nist-tn-1297-appendix-law-propagation-uncertainty ) (Equation A-3)
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