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Find the original argument.

Search the paper sections, open their original context and follow the checks they actually cite. The knowledge atlas explains the result; this library locates its source.

Validated Fourier core and the missing finite-grid aliases.

tfpt research contracts

Use the sigma- [formula in source] basis [formula in source] , [formula in source] , [formula in source] . The jump is [formula in source] (zero-based indices), and [formula in source] for [formula in source] . At the 512 midpoint nodes, 256-bit Acb validated eigensystems strictly separate eight occupied and eight unoccupied eigenvalues. The outward matrix DFT [formula in source] obeys the exact midpoint alias formul

Opening source excerpt. Formulas and the full argument remain in the original document.

Source location and explicit evidence links

experiments/theory-contracts/universalraum-fable-kernfragen-20260910/context/fortsetzung/source-snapshots/tfpt/tex-artefacts/toe_round4_proofs.tex · lines 175 to 242

These are recorded citation relations. A source citation or topic match does not establish a mathematical or physical result.

What this source index covers

The public registry includes 116 document views, 6,693 section records and 985 physical LaTeX sources. Active publication documents, research material and archives retain their recorded roles. This is source navigation, not a new semantic review or proof run.