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  • Corrected typos in the OT primal constraints where the marginal-sum equalities were miswritten (fixed the summation/indexing so row/column sums match the intended marginals).

  • Fixed a formula error in the proof for the ordering case (x < x' < y' < y) (corrected the displayed inequality/derivation to match the intended argument).

  • Replaced (\psi_{x_0}) with (\phi_{x_0}) to keep notation consistent with the rest of the lecture.

  • Corrected the adjustment term definition from (\Delta_i = \sum_{k=i+1}^p \beta_k + \phi_{x_p} - \phi_{x_1}) to (\Delta_i = \sum_{k=i+1}^p \beta_k + \phi_{x_p} - \phi_{x_i}).

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netlify bot commented Jan 19, 2026

Deploy Preview for lustrous-melomakarona-3ee73e ready!

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