{
  "generated_at": "2026-04-29",
  "quality_note": "Notation ledger for review. It maps source and modern symbols but does not certify typography until scan verification is complete.",
  "record_count": 12,
  "symbol_count": 31,
  "symbol_index": [
    {
      "symbol": "b",
      "meaning_note": "Susceptance component of admittance.",
      "equation_ids": [
        "ac-admittance-components",
        "ac-dielectric-capacity-susceptance"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "B",
      "meaning_note": "Modern susceptance symbol.",
      "equation_ids": [
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "B_C",
      "meaning_note": "Modern capacity susceptance notation used in the archive translation.",
      "equation_ids": [
        "ac-dielectric-capacity-susceptance"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "C",
      "meaning_note": "Capacity or capacitance. Preserve Steinmetz's capacity language before modernizing it.",
      "equation_ids": [
        "ac-condensive-reactance",
        "ac-dielectric-capacity-susceptance"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "cos",
      "meaning_note": "Cosine function used in power-factor relations.",
      "equation_ids": [
        "ac-power-factor-equation"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "e",
      "meaning_note": "Electromotive force or voltage in older notation; verify whether RMS or instantaneous value is meant.",
      "equation_ids": [
        "ac-power-factor-equation"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "f",
      "meaning_note": "Frequency. Check whether Steinmetz is using cycles per second or angular frequency in the surrounding text.",
      "equation_ids": [
        "rli-velocity-frequency-wavelength",
        "ac-inductive-reactance",
        "ac-condensive-reactance",
        "ac-dielectric-capacity-susceptance"
      ],
      "source_ids": [
        "radiation-light-and-illumination",
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "g",
      "meaning_note": "Conductance component of admittance.",
      "equation_ids": [
        "ac-admittance-reciprocal",
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "G",
      "meaning_note": "Modern conductance symbol.",
      "equation_ids": [
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "I",
      "meaning_note": "Alternating current quantity or complex current, depending on chapter context.",
      "equation_ids": [
        "ac-symbolic-rectangular-form",
        "ac-symbolic-ohms-law",
        "ac-power-factor-equation",
        "ac-effective-resistance-power"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "i",
      "meaning_note": "Current component or instantaneous/current magnitude in Steinmetz-era notation. Needs local context.",
      "equation_ids": [
        "ac-symbolic-rectangular-form",
        "ac-power-factor-equation",
        "ac-effective-resistance-power"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "i'",
      "meaning_note": "Quadrature current component in the symbolic-method passage.",
      "equation_ids": [
        "ac-symbolic-rectangular-form"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "j",
      "meaning_note": "Imaginary operator used by Steinmetz as a quarter-period or 90-degree rotation.",
      "equation_ids": [
        "ac-symbolic-rectangular-form",
        "ac-symbolic-operator-j",
        "ac-impedance-complex-form"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "L",
      "meaning_note": "Inductance.",
      "equation_ids": [
        "ac-inductive-reactance"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "lambda",
      "meaning_note": "Wave length in the source relation; modern notation usually uses lambda.",
      "equation_ids": [
        "rli-velocity-frequency-wavelength"
      ],
      "source_ids": [
        "radiation-light-and-illumination"
      ]
    },
    {
      "symbol": "omega",
      "meaning_note": "Modern angular frequency notation used in archive translations.",
      "equation_ids": [
        "ac-inductive-reactance",
        "ac-condensive-reactance",
        "ac-dielectric-capacity-susceptance"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "P",
      "meaning_note": "Power.",
      "equation_ids": [
        "ac-power-factor-equation",
        "ac-effective-resistance-power"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "P_o",
      "meaning_note": "Real or output power notation in the source record; verify typography against scan.",
      "equation_ids": [
        "ac-power-factor-equation"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "phi",
      "meaning_note": "Modern phase-angle notation.",
      "equation_ids": [
        "ac-power-factor-equation"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "pi",
      "meaning_note": "Circle constant in frequency/reactance relations; verify whether source writes pi as a symbol or text.",
      "equation_ids": [
        "ac-inductive-reactance",
        "ac-condensive-reactance",
        "ac-dielectric-capacity-susceptance"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "r",
      "meaning_note": "Resistance or effective resistance in Steinmetz notation, depending on source context.",
      "equation_ids": [
        "ac-impedance-complex-form",
        "ac-admittance-components",
        "ac-effective-resistance-power"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "R",
      "meaning_note": "Modern resistance symbol.",
      "equation_ids": [
        "ac-impedance-complex-form",
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "R_eff",
      "meaning_note": "Modern effective-resistance notation used in the archive translation.",
      "equation_ids": [
        "ac-effective-resistance-power"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "S",
      "meaning_note": "Velocity of propagation in Steinmetz's radiation notation.",
      "equation_ids": [
        "rli-velocity-frequency-wavelength"
      ],
      "source_ids": [
        "radiation-light-and-illumination"
      ]
    },
    {
      "symbol": "theta",
      "meaning_note": "Phase angle in source notation.",
      "equation_ids": [
        "ac-power-factor-equation"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "v",
      "meaning_note": "Modern velocity symbol used when translating Steinmetz's S.",
      "equation_ids": [
        "rli-velocity-frequency-wavelength"
      ],
      "source_ids": [
        "radiation-light-and-illumination"
      ]
    },
    {
      "symbol": "V",
      "meaning_note": "Modern voltage symbol.",
      "equation_ids": [
        "ac-symbolic-ohms-law",
        "ac-power-factor-equation"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "x",
      "meaning_note": "Reactance in Steinmetz AC notation.",
      "equation_ids": [
        "ac-inductive-reactance",
        "ac-condensive-reactance",
        "ac-impedance-complex-form",
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "X",
      "meaning_note": "Modern reactance symbol.",
      "equation_ids": [
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "Y",
      "meaning_note": "Admittance.",
      "equation_ids": [
        "ac-admittance-reciprocal",
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    },
    {
      "symbol": "Z",
      "meaning_note": "Impedance as a complex AC quantity.",
      "equation_ids": [
        "ac-impedance-complex-form",
        "ac-symbolic-ohms-law",
        "ac-admittance-reciprocal",
        "ac-admittance-components"
      ],
      "source_ids": [
        "theory-calculation-alternating-current-phenomena"
      ]
    }
  ],
  "records": [
    {
      "equation_id": "rli-velocity-frequency-wavelength",
      "title": "Velocity, Frequency, and Wave Length",
      "source_id": "radiation-light-and-illumination",
      "source_title": "Radiation, Light and Illumination",
      "original_form": "f = S / lambda; equivalently S = f lambda",
      "modern_form": "v = f lambda",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Lecture I, cleaned OCR lines 248-259 and 697-703",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/velocity-frequency-wavelength/",
      "symbols": [
        {
          "symbol": "f",
          "meaning_note": "Frequency. Check whether Steinmetz is using cycles per second or angular frequency in the surrounding text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "S",
          "meaning_note": "Velocity of propagation in Steinmetz's radiation notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "lambda",
          "meaning_note": "Wave length in the source relation; modern notation usually uses lambda.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "v",
          "meaning_note": "Modern velocity symbol used when translating Steinmetz's S.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-symbolic-rectangular-form",
      "title": "Rectangular Complex Quantity",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "I = i + ji'",
      "modern_form": "I = I_real + j I_quadrature",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter V, Symbolic Method, cleaned OCR lines 285-290",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/symbolic-rectangular-components/",
      "symbols": [
        {
          "symbol": "I",
          "meaning_note": "Alternating current quantity or complex current, depending on chapter context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "i",
          "meaning_note": "Current component or instantaneous/current magnitude in Steinmetz-era notation. Needs local context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "i'",
          "meaning_note": "Quadrature current component in the symbolic-method passage.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "j",
          "meaning_note": "Imaginary operator used by Steinmetz as a quarter-period or 90-degree rotation.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-symbolic-operator-j",
      "title": "The Operator j",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "j^2 = -1",
      "modern_form": "j = sqrt(-1), used as a 90 degree rotation operator in phasor analysis",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter V, Symbolic Method, cleaned OCR lines 317-333 and promoted Fig. 24 crop",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/symbolic-operator-j/",
      "symbols": [
        {
          "symbol": "j",
          "meaning_note": "Imaginary operator used by Steinmetz as a quarter-period or 90-degree rotation.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-inductive-reactance",
      "title": "Inductive Reactance",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "x = 2 pi f L",
      "modern_form": "X_L = omega L = 2 pi f L",
      "status": "source-located candidate; OCR symbol defects present",
      "source_ref": {
        "location": "Chapter V, Symbolic Method, cleaned OCR lines 292-315 and 373-376",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/reactance-forms/",
      "symbols": [
        {
          "symbol": "f",
          "meaning_note": "Frequency. Check whether Steinmetz is using cycles per second or angular frequency in the surrounding text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "x",
          "meaning_note": "Reactance in Steinmetz AC notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "L",
          "meaning_note": "Inductance.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "pi",
          "meaning_note": "Circle constant in frequency/reactance relations; verify whether source writes pi as a symbol or text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "omega",
          "meaning_note": "Modern angular frequency notation used in archive translations.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-condensive-reactance",
      "title": "Condensive Reactance",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "x_1 = 1 / (2 pi f C)",
      "modern_form": "X_C = 1 / (omega C) = 1 / (2 pi f C)",
      "status": "source-located candidate; OCR symbol defects present",
      "source_ref": {
        "location": "Chapter V, Symbolic Method, cleaned OCR lines 351-380",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/reactance-forms/",
      "symbols": [
        {
          "symbol": "f",
          "meaning_note": "Frequency. Check whether Steinmetz is using cycles per second or angular frequency in the surrounding text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "x",
          "meaning_note": "Reactance in Steinmetz AC notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "C",
          "meaning_note": "Capacity or capacitance. Preserve Steinmetz's capacity language before modernizing it.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "pi",
          "meaning_note": "Circle constant in frequency/reactance relations; verify whether source writes pi as a symbol or text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "omega",
          "meaning_note": "Modern angular frequency notation used in archive translations.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-impedance-complex-form",
      "title": "Complex Impedance",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "Z = r + jx",
      "modern_form": "Z = R + jX",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter V, Symbolic Method, cleaned OCR lines 317-333",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/impedance-reactance/",
      "symbols": [
        {
          "symbol": "j",
          "meaning_note": "Imaginary operator used by Steinmetz as a quarter-period or 90-degree rotation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "x",
          "meaning_note": "Reactance in Steinmetz AC notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "Z",
          "meaning_note": "Impedance as a complex AC quantity.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "r",
          "meaning_note": "Resistance or effective resistance in Steinmetz notation, depending on source context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "R",
          "meaning_note": "Modern resistance symbol.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-symbolic-ohms-law",
      "title": "Symbolic Ohm's Law",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "E = ZI, I = E / Z, Z = E / I",
      "modern_form": "V = ZI",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter V, Symbolic Method, cleaned OCR lines 326-383",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/impedance-reactance/",
      "symbols": [
        {
          "symbol": "I",
          "meaning_note": "Alternating current quantity or complex current, depending on chapter context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "Z",
          "meaning_note": "Impedance as a complex AC quantity.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "V",
          "meaning_note": "Modern voltage symbol.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-admittance-reciprocal",
      "title": "Admittance As Reciprocal Impedance",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "Y = 1 / Z = g - jb",
      "modern_form": "Y = 1 / Z; sign convention depends on reactance convention",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter VIII, Admittance, Conductance, Susceptance, cleaned OCR lines 48-222",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/admittance-conductance-susceptance/",
      "symbols": [
        {
          "symbol": "Z",
          "meaning_note": "Impedance as a complex AC quantity.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "Y",
          "meaning_note": "Admittance.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "g",
          "meaning_note": "Conductance component of admittance.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-admittance-components",
      "title": "Conductance and Susceptance From Impedance",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "g = r / (r^2 + x^2), b = x / (r^2 + x^2)",
      "modern_form": "For Z = R + jX and Y = G - jB: G = R/(R^2+X^2), B = X/(R^2+X^2)",
      "status": "mathematical reconstruction from source relation",
      "source_ref": {
        "location": "Chapter VIII relation plus algebraic reciprocal; existing public derivation",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/admittance-conductance-susceptance/",
      "symbols": [
        {
          "symbol": "x",
          "meaning_note": "Reactance in Steinmetz AC notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "Z",
          "meaning_note": "Impedance as a complex AC quantity.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "r",
          "meaning_note": "Resistance or effective resistance in Steinmetz notation, depending on source context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "Y",
          "meaning_note": "Admittance.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "g",
          "meaning_note": "Conductance component of admittance.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "b",
          "meaning_note": "Susceptance component of admittance.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "R",
          "meaning_note": "Modern resistance symbol.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "X",
          "meaning_note": "Modern reactance symbol.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "G",
          "meaning_note": "Modern conductance symbol.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "B",
          "meaning_note": "Modern susceptance symbol.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-power-factor-equation",
      "title": "AC Power Equation",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "P_o = ei cos theta",
      "modern_form": "P = VI cos phi",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter I, Introduction, cleaned OCR lines 248-254",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/power-effective-resistance/",
      "symbols": [
        {
          "symbol": "I",
          "meaning_note": "Alternating current quantity or complex current, depending on chapter context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "i",
          "meaning_note": "Current component or instantaneous/current magnitude in Steinmetz-era notation. Needs local context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "P_o",
          "meaning_note": "Real or output power notation in the source record; verify typography against scan.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "P",
          "meaning_note": "Power.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "e",
          "meaning_note": "Electromotive force or voltage in older notation; verify whether RMS or instantaneous value is meant.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "V",
          "meaning_note": "Modern voltage symbol.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "theta",
          "meaning_note": "Phase angle in source notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "phi",
          "meaning_note": "Modern phase-angle notation.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "cos",
          "meaning_note": "Cosine function used in power-factor relations.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-effective-resistance-power",
      "title": "Effective Resistance From Real Power",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "P = i^2 r",
      "modern_form": "R_eff = P / I^2",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter I, Introduction, cleaned OCR lines 236-246 and Chapter XII lines 64-85",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/power-effective-resistance/",
      "symbols": [
        {
          "symbol": "I",
          "meaning_note": "Alternating current quantity or complex current, depending on chapter context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "i",
          "meaning_note": "Current component or instantaneous/current magnitude in Steinmetz-era notation. Needs local context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "r",
          "meaning_note": "Resistance or effective resistance in Steinmetz notation, depending on source context.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "P",
          "meaning_note": "Power.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "R_eff",
          "meaning_note": "Modern effective-resistance notation used in the archive translation.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    },
    {
      "equation_id": "ac-dielectric-capacity-susceptance",
      "title": "Capacity Susceptance",
      "source_id": "theory-calculation-alternating-current-phenomena",
      "source_title": "Theory and Calculation of Alternating Current Phenomena",
      "original_form": "b = 2 pi f C",
      "modern_form": "B_C = omega C = 2 pi f C",
      "status": "source-located candidate",
      "source_ref": {
        "location": "Chapter XIV, Dielectric Losses, cleaned OCR lines 209-221 and 595-599",
        "verification": "needs scan verification"
      },
      "site_path": "/mathematics/equations/capacity-susceptance/",
      "symbols": [
        {
          "symbol": "f",
          "meaning_note": "Frequency. Check whether Steinmetz is using cycles per second or angular frequency in the surrounding text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "C",
          "meaning_note": "Capacity or capacitance. Preserve Steinmetz's capacity language before modernizing it.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "b",
          "meaning_note": "Susceptance component of admittance.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "pi",
          "meaning_note": "Circle constant in frequency/reactance relations; verify whether source writes pi as a symbol or text.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "omega",
          "meaning_note": "Modern angular frequency notation used in archive translations.",
          "review_state": "needs source-context verification"
        },
        {
          "symbol": "B_C",
          "meaning_note": "Modern capacity susceptance notation used in the archive translation.",
          "review_state": "needs source-context verification"
        }
      ],
      "review_actions": [
        "Check original typography and subscripts against scan.",
        "Confirm whether quantities are RMS, maximum, instantaneous, or symbolic.",
        "Record unit conventions and edition differences if found."
      ]
    }
  ]
}