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  "assumptions": [
    "Rectangular specific force: M = Q²/(gA) + A ȳ with A=b y and ȳ=y/2; SI; default g=9.80665; M is m²",
    "Unknown is M (force mode) or y (depth invert, subcritical y>yc by default); conjugate y_alt is reported; Fr is reported not an input",
    "Not hydraulic jump y2 from Fr₁>1; not specific energy E=y+v²/(2g); not Froude as the product; not Manning n; not Q=Av; not critical slope Sc"
  ],
  "limitations": [
    "Rectangular specific force: M = Q²/(gA) + A ȳ with A=b y and ȳ=y/2; SI; default g=9.80665; M is m²",
    "Unknown is M (force mode) or y (depth invert, subcritical y>yc by default); conjugate y_alt is reported; Fr is reported not an input",
    "Not hydraulic jump y2 from Fr₁>1; not specific energy E=y+v²/(2g); not Froude as the product; not Manning n; not Q=Av; not critical slope Sc"
  ],
  "boundary_conditions": [
    "missing b, Q, y, or M when required → MISSING_REQUIRED_INPUT",
    "y, Q, b, M, or g ≤ 0 → VALUE_MUST_BE_POSITIVE",
    "A/v, y1/y2, E, Fr/L, n/C/S/R/Sc, yn/yc/q, z, H/Cd → MIXED_INPUT_ENCODING",
    "unknown mode → INVALID_MODE"
  ],
  "sources": [
    {
      "title": "ISO 80000-4 — Mechanics",
      "section": "Volume flow rate and force",
      "url": "https://www.iso.org/standard/31895.html",
      "supports": "Q is volume flow; specific force M is force per unit weight per unit width (m²)",
      "kind": "standard"
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    {
      "title": "Chow, V.T. Open-Channel Hydraulics",
      "section": "Specific force and sequent depths",
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      "kind": "reference"
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  ],
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  "fingerprint": "sha256:92aa004d123df3577218d7021b3154fc10a36af1c3f99d6d327c39e21e3a97bb",
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      "ok": true,
      "kind": "property",
      "detail": "M=Q²/(gA)+A y/2",
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      "ok": true,
      "kind": "property",
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      "ok": true,
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      "detail": "specific_force_rectangular",
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      "golden": 0,
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      "property": 5
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