Semantic Graph — Visual Examination Report

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "Re = \\frac{\\rho v L}{\\mu}",
      "chartScript": {
        "script": "-L*rho*v/mu + e*R",
        "variables": [
          "L",
          "R",
          "mu",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "R e",
      "chartScript": {
        "script": "e*R",
        "variables": [
          "R"
        ]
      }
    },
    {
      "id": "R",
      "type": "scalar",
      "latex": "R",
      "subexpr": "R",
      "chartScript": {
        "script": "R",
        "variables": [
          "R"
        ]
      }
    },
    {
      "id": "e",
      "type": "scalar",
      "latex": "e",
      "subexpr": "e",
      "chartScript": {
        "script": "e",
        "variables": []
      }
    },
    {
      "id": "__multiply_3",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\frac{1}{\\mu} \\rho v L",
      "chartScript": {
        "script": "L*rho*v/mu",
        "variables": [
          "L",
          "mu",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__multiply_4",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\rho v L",
      "chartScript": {
        "script": "L*rho*v",
        "variables": [
          "L",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "rho",
      "type": "scalar",
      "latex": "\\rho",
      "subexpr": "\\rho",
      "chartScript": {
        "script": "rho",
        "variables": [
          "rho"
        ]
      }
    },
    {
      "id": "__multiply_5",
      "type": "operator",
      "op": "multiply",
      "subexpr": "v L",
      "chartScript": {
        "script": "L*v",
        "variables": [
          "L",
          "v"
        ]
      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "L",
      "type": "scalar",
      "latex": "L",
      "subexpr": "L",
      "chartScript": {
        "script": "L",
        "variables": [
          "L"
        ]
      }
    },
    {
      "id": "__power_6",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{\\mu}",
      "chartScript": {
        "script": "1/mu",
        "variables": [
          "mu"
        ]
      }
    },
    {
      "id": "mu",
      "type": "scalar",
      "latex": "\\mu",
      "subexpr": "\\mu",
      "chartScript": {
        "script": "mu",
        "variables": [
          "mu"
        ]
      }
    }
  ],
  "edges": [
    {
      "from": "R",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "e",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_2",
      "to": "__equals_1"
    },
    {
      "from": "rho",
      "to": "__multiply_4",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "v",
      "to": "__multiply_5",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "L",
      "to": "__multiply_5",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_5",
      "to": "__multiply_4",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_4",
      "to": "__multiply_3",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "mu",
      "to": "__power_6"
    },
    {
      "from": "__power_6",
      "to": "__multiply_3"
    },
    {
      "from": "__multiply_3",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef number fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef text fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef operator fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef relation fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef result fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  __multiply_2(("$\times$")):::operator
  R["$R$"]:::scalar
  e["$e$"]:::scalar
  __multiply_3(("$\times$")):::operator
  __multiply_4(("$\times$")):::operator
  rho["$\rho$"]:::scalar
  __multiply_5(("$\times$")):::operator
  v["$v$"]:::scalar
  L["$L$"]:::scalar
  __power_6(("$\dfrac{1}{(\cdot)}$")):::operator
  mu["$\mu$"]:::scalar
  R --> __multiply_2
  e --> __multiply_2
  __multiply_2 --> __equals_1
  rho --> __multiply_4
  v --> __multiply_5
  L --> __multiply_5
  __multiply_5 --> __multiply_4
  __multiply_4 --> __multiply_3
  mu --> __power_6
  __power_6 -.-> __multiply_3
  __multiply_3 --> __equals_1
  linkStyle 0 stroke:#ef5350,stroke-width:3px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#aaa,stroke-width:2px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#ef5350,stroke-width:3px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#ef5350,stroke-width:3px
  linkStyle 7 stroke:#ef5350,stroke-width:3px
  linkStyle 8 stroke:#aaa,stroke-width:2px
  linkStyle 9 stroke:#42a5f5,stroke-width:1px
  linkStyle 10 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "P = P_0 + \\rho g h",
      "chartScript": {
        "script": "P - P_0 - g*h*rho",
        "variables": [
          "P",
          "P_0",
          "g",
          "h",
          "rho"
        ]
      }
    },
    {
      "id": "P",
      "type": "scalar",
      "latex": "P",
      "subexpr": "P",
      "chartScript": {
        "script": "P",
        "variables": [
          "P"
        ]
      }
    },
    {
      "id": "__add_2",
      "type": "operator",
      "op": "add",
      "subexpr": "\\rho h g + P_{0}",
      "chartScript": {
        "script": "P_0 + g*h*rho",
        "variables": [
          "P_0",
          "g",
          "h",
          "rho"
        ]
      }
    },
    {
      "id": "P_0",
      "type": "scalar",
      "latex": "P_{0}",
      "subexpr": "P_{0}",
      "chartScript": {
        "script": "P_0",
        "variables": [
          "P_0"
        ]
      }
    },
    {
      "id": "__multiply_3",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\rho h g",
      "chartScript": {
        "script": "g*h*rho",
        "variables": [
          "g",
          "h",
          "rho"
        ]
      }
    },
    {
      "id": "rho",
      "type": "scalar",
      "latex": "\\rho",
      "subexpr": "\\rho",
      "chartScript": {
        "script": "rho",
        "variables": [
          "rho"
        ]
      }
    },
    {
      "id": "__multiply_4",
      "type": "operator",
      "op": "multiply",
      "subexpr": "h g",
      "chartScript": {
        "script": "g*h",
        "variables": [
          "g",
          "h"
        ]
      }
    },
    {
      "id": "g",
      "type": "scalar",
      "latex": "g",
      "subexpr": "g",
      "chartScript": {
        "script": "g",
        "variables": [
          "g"
        ]
      }
    },
    {
      "id": "h",
      "type": "scalar",
      "latex": "h",
      "subexpr": "h",
      "chartScript": {
        "script": "h",
        "variables": [
          "h"
        ]
      }
    }
  ],
  "edges": [
    {
      "from": "P",
      "to": "__equals_1"
    },
    {
      "from": "P_0",
      "to": "__add_2"
    },
    {
      "from": "rho",
      "to": "__multiply_3",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "g",
      "to": "__multiply_4",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "h",
      "to": "__multiply_4",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_4",
      "to": "__multiply_3",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_3",
      "to": "__add_2"
    },
    {
      "from": "__add_2",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef number fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef text fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef operator fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef relation fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef result fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  P["$P$"]:::scalar
  __add_2(("$+$")):::operator
  P_0["$P_{0}$"]:::scalar
  __multiply_3(("$\times$")):::operator
  rho["$\rho$"]:::scalar
  __multiply_4(("$\times$")):::operator
  g["$g$"]:::scalar
  h["$h$"]:::scalar
  P --> __equals_1
  P_0 --> __add_2
  rho --> __multiply_3
  g --> __multiply_4
  h --> __multiply_4
  __multiply_4 --> __multiply_3
  __multiply_3 --> __add_2
  __add_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#aaa,stroke-width:2px
  linkStyle 2 stroke:#ef5350,stroke-width:3px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#ef5350,stroke-width:3px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#aaa,stroke-width:2px
  linkStyle 7 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "F_D = \\frac{1}{2} \\rho v^2 C_D A",
      "chartScript": {
        "script": "-1/2*A*C_D*rho*pow(v, 2) + F_D",
        "variables": [
          "A",
          "C_D",
          "F_D",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "F_D",
      "type": "scalar",
      "latex": "F_{D}",
      "subexpr": "F_{D}",
      "chartScript": {
        "script": "F_D",
        "variables": [
          "F_D"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\frac{1}{2} \\rho v^{2} A C_{D}",
      "chartScript": {
        "script": "(1/2)*A*C_D*rho*pow(v, 2)",
        "variables": [
          "A",
          "C_D",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__power_3",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{2}",
      "chartScript": {
        "script": "1/2",
        "variables": []
      }
    },
    {
      "id": "__num_4",
      "type": "number",
      "label": "2",
      "subexpr": "2",
      "chartScript": {
        "script": "2",
        "variables": []
      }
    },
    {
      "id": "__multiply_5",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\rho v^{2} A C_{D}",
      "chartScript": {
        "script": "A*C_D*rho*pow(v, 2)",
        "variables": [
          "A",
          "C_D",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "rho",
      "type": "scalar",
      "latex": "\\rho",
      "subexpr": "\\rho",
      "chartScript": {
        "script": "rho",
        "variables": [
          "rho"
        ]
      }
    },
    {
      "id": "__multiply_6",
      "type": "operator",
      "op": "multiply",
      "subexpr": "v^{2} A C_{D}",
      "chartScript": {
        "script": "A*C_D*pow(v, 2)",
        "variables": [
          "A",
          "C_D",
          "v"
        ]
      }
    },
    {
      "id": "__power_7",
      "type": "operator",
      "op": "power",
      "exponent": "2",
      "subexpr": "v^{2}",
      "chartScript": {
        "script": "pow(v, 2)",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "__multiply_8",
      "type": "operator",
      "op": "multiply",
      "subexpr": "A C_{D}",
      "chartScript": {
        "script": "A*C_D",
        "variables": [
          "A",
          "C_D"
        ]
      }
    },
    {
      "id": "C_D",
      "type": "scalar",
      "latex": "C_{D}",
      "subexpr": "C_{D}",
      "chartScript": {
        "script": "C_D",
        "variables": [
          "C_D"
        ]
      }
    },
    {
      "id": "A",
      "type": "scalar",
      "latex": "A",
      "subexpr": "A",
      "chartScript": {
        "script": "A",
        "variables": [
          "A"
        ]
      }
    }
  ],
  "edges": [
    {
      "from": "F_D",
      "to": "__equals_1"
    },
    {
      "from": "__num_4",
      "to": "__power_3"
    },
    {
      "from": "__power_3",
      "to": "__multiply_2"
    },
    {
      "from": "rho",
      "to": "__multiply_5",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "v",
      "to": "__power_7"
    },
    {
      "from": "__power_7",
      "to": "__multiply_6",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "C_D",
      "to": "__multiply_8",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "A",
      "to": "__multiply_8",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_8",
      "to": "__multiply_6",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_6",
      "to": "__multiply_5",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_5",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_2",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef number fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef text fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef operator fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef relation fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef result fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  F_D["$F_{D}$"]:::scalar
  __multiply_2(("$\times$")):::operator
  __power_3(("$\dfrac{1}{(\cdot)}$")):::operator
  __num_4["$2$"]:::number
  __multiply_5(("$\times$")):::operator
  rho["$\rho$"]:::scalar
  __multiply_6(("$\times$")):::operator
  __power_7(("${(\cdot)}^{2}$")):::operator
  v["$v$"]:::scalar
  __multiply_8(("$\times$")):::operator
  C_D["$C_{D}$"]:::scalar
  A["$A$"]:::scalar
  F_D --> __equals_1
  __num_4 --> __power_3
  __power_3 -.-> __multiply_2
  rho --> __multiply_5
  v --> __power_7
  __power_7 --> __multiply_6
  C_D --> __multiply_8
  A --> __multiply_8
  __multiply_8 --> __multiply_6
  __multiply_6 --> __multiply_5
  __multiply_5 --> __multiply_2
  __multiply_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#aaa,stroke-width:2px
  linkStyle 2 stroke:#42a5f5,stroke-width:1px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#aaa,stroke-width:2px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#ef5350,stroke-width:3px
  linkStyle 7 stroke:#ef5350,stroke-width:3px
  linkStyle 8 stroke:#ef5350,stroke-width:3px
  linkStyle 9 stroke:#ef5350,stroke-width:3px
  linkStyle 10 stroke:#ef5350,stroke-width:3px
  linkStyle 11 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "F = 6 \\pi \\mu r v",
      "chartScript": {
        "script": "F - 6*pi*mu*r*v",
        "variables": [
          "F",
          "mu",
          "r",
          "v"
        ]
      }
    },
    {
      "id": "F",
      "type": "scalar",
      "latex": "F",
      "subexpr": "F",
      "chartScript": {
        "script": "F",
        "variables": [
          "F"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "6 \\pi \\mu r v",
      "chartScript": {
        "script": "6*pi*mu*r*v",
        "variables": [
          "mu",
          "r",
          "v"
        ]
      }
    },
    {
      "id": "__num_3",
      "type": "number",
      "label": "6",
      "subexpr": "6",
      "chartScript": {
        "script": "6",
        "variables": []
      }
    },
    {
      "id": "__multiply_4",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\pi \\mu r v",
      "chartScript": {
        "script": "pi*mu*r*v",
        "variables": [
          "mu",
          "r",
          "v"
        ]
      }
    },
    {
      "id": "pi",
      "type": "constant",
      "latex": "\\pi",
      "subexpr": "\\pi",
      "chartScript": {
        "script": "pi",
        "variables": []
      }
    },
    {
      "id": "__multiply_5",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\mu r v",
      "chartScript": {
        "script": "mu*r*v",
        "variables": [
          "mu",
          "r",
          "v"
        ]
      }
    },
    {
      "id": "mu",
      "type": "scalar",
      "latex": "\\mu",
      "subexpr": "\\mu",
      "chartScript": {
        "script": "mu",
        "variables": [
          "mu"
        ]
      }
    },
    {
      "id": "__multiply_6",
      "type": "operator",
      "op": "multiply",
      "subexpr": "r v",
      "chartScript": {
        "script": "r*v",
        "variables": [
          "r",
          "v"
        ]
      }
    },
    {
      "id": "r",
      "type": "scalar",
      "latex": "r",
      "subexpr": "r",
      "chartScript": {
        "script": "r",
        "variables": [
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    },
    {
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      "latex": "v",
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      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
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    }
  ],
  "edges": [
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      "to": "__equals_1"
    },
    {
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      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "mu",
      "to": "__multiply_5",
      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "semantic": "direct",
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    },
    {
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      "weight": 1.0
    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_4",
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      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
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  __equals_1{"="}:::relation
  F["$F$"]:::scalar
  __multiply_2(("$\times$")):::operator
  __num_3["$6$"]:::number
  __multiply_4(("$\times$")):::operator
  pi["$\pi$"]:::constant
  __multiply_5(("$\times$")):::operator
  mu["$\mu$"]:::scalar
  __multiply_6(("$\times$")):::operator
  r["$r$"]:::scalar
  v["$v$"]:::scalar
  F --> __equals_1
  __num_3 --> __multiply_2
  pi --> __multiply_4
  mu --> __multiply_5
  r --> __multiply_6
  v --> __multiply_6
  __multiply_6 --> __multiply_5
  __multiply_5 --> __multiply_4
  __multiply_4 --> __multiply_2
  __multiply_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#ef5350,stroke-width:3px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#ef5350,stroke-width:3px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#ef5350,stroke-width:3px
  linkStyle 7 stroke:#ef5350,stroke-width:3px
  linkStyle 8 stroke:#ef5350,stroke-width:3px
  linkStyle 9 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "Ma = \\frac{v}{c}",
      "chartScript": {
        "script": "M*a - v/c",
        "variables": [
          "M",
          "a",
          "c",
          "v"
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      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "M a",
      "chartScript": {
        "script": "M*a",
        "variables": [
          "M",
          "a"
        ]
      }
    },
    {
      "id": "M",
      "type": "scalar",
      "latex": "M",
      "subexpr": "M",
      "chartScript": {
        "script": "M",
        "variables": [
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      }
    },
    {
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      "latex": "a",
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      "chartScript": {
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    },
    {
      "id": "__multiply_3",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\frac{1}{c} v",
      "chartScript": {
        "script": "v/c",
        "variables": [
          "c",
          "v"
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      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "__power_4",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{c}",
      "chartScript": {
        "script": "1/c",
        "variables": [
          "c"
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      }
    },
    {
      "id": "c",
      "type": "scalar",
      "latex": "c",
      "subexpr": "c",
      "chartScript": {
        "script": "c",
        "variables": [
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  "edges": [
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    },
    {
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    },
    {
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    },
    {
      "from": "__power_4",
      "to": "__multiply_3"
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    {
      "from": "__multiply_3",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  __multiply_2(("$\times$")):::operator
  M["$M$"]:::scalar
  a["$a$"]:::scalar
  __multiply_3(("$\times$")):::operator
  v["$v$"]:::scalar
  __power_4(("$\dfrac{1}{(\cdot)}$")):::operator
  c["$c$"]:::scalar
  M --> __multiply_2
  a --> __multiply_2
  __multiply_2 --> __equals_1
  v --> __multiply_3
  c --> __power_4
  __power_4 -.-> __multiply_3
  __multiply_3 --> __equals_1
  linkStyle 0 stroke:#ef5350,stroke-width:3px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#aaa,stroke-width:2px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#aaa,stroke-width:2px
  linkStyle 5 stroke:#42a5f5,stroke-width:1px
  linkStyle 6 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "\\nabla \\cdot \\vec{v} = 0",
      "chartScript": {
        "script": "nabla*v*vec",
        "variables": [
          "nabla",
          "v",
          "vec"
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      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\nabla \\cdot \\vec{v}",
      "chartScript": {
        "script": "nabla*v*vec",
        "variables": [
          "nabla",
          "v",
          "vec"
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      }
    },
    {
      "id": "nabla",
      "type": "scalar",
      "latex": "\\nabla",
      "subexpr": "\\nabla",
      "chartScript": {
        "script": "nabla",
        "variables": [
          "nabla"
        ]
      }
    },
    {
      "id": "v",
      "type": "vector",
      "latex": "\\vec{v}",
      "subexpr": "\\vec{v}",
      "chartScript": {
        "script": "v*vec",
        "variables": [
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          "vec"
        ]
      }
    },
    {
      "id": "__num_3",
      "type": "number",
      "label": "0",
      "subexpr": "0",
      "chartScript": {
        "script": "0",
        "variables": []
      }
    }
  ],
  "edges": [
    {
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    },
    {
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      "to": "__multiply_2",
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      "weight": 1.0
    },
    {
      "from": "__multiply_2",
      "to": "__equals_1"
    },
    {
      "from": "__num_3",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  __multiply_2(("$\times$")):::operator
  nabla["$\nabla$"]:::scalar
  v["$\vec{v}$"]:::vector
  __num_3["$0$"]:::number
  nabla --> __multiply_2
  v --> __multiply_2
  __multiply_2 --> __equals_1
  __num_3 --> __equals_1
  linkStyle 0 stroke:#ef5350,stroke-width:3px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#aaa,stroke-width:2px
  linkStyle 3 stroke:#aaa,stroke-width:2px

{
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      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "\\omega = \\nabla \\times \\vec{v}",
      "chartScript": {
        "script": "-nabla*v*vec + omega",
        "variables": [
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          "vec"
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      }
    },
    {
      "id": "omega",
      "type": "scalar",
      "latex": "\\omega",
      "subexpr": "\\omega",
      "chartScript": {
        "script": "omega",
        "variables": [
          "omega"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\nabla \\times \\vec{v}",
      "chartScript": {
        "script": "nabla*v*vec",
        "variables": [
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          "vec"
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      }
    },
    {
      "id": "nabla",
      "type": "scalar",
      "latex": "\\nabla",
      "subexpr": "\\nabla",
      "chartScript": {
        "script": "nabla",
        "variables": [
          "nabla"
        ]
      }
    },
    {
      "id": "v",
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      "subexpr": "\\vec{v}",
      "chartScript": {
        "script": "v*vec",
        "variables": [
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          "vec"
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      }
    }
  ],
  "edges": [
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    {
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  ],
  "classification": {
    "kind": "algebraic"
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  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  omega["$\omega$"]:::scalar
  __multiply_2(("$\times$")):::operator
  nabla["$\nabla$"]:::scalar
  v["$\vec{v}$"]:::vector
  omega --> __equals_1
  nabla --> __multiply_2
  v --> __multiply_2
  __multiply_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#ef5350,stroke-width:3px
  linkStyle 3 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "A_1 v_1 = A_2 v_2",
      "chartScript": {
        "script": "A_1*v_1 - A_2*v_2",
        "variables": [
          "A_1",
          "A_2",
          "v_1",
          "v_2"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "A_{1} v_{1}",
      "chartScript": {
        "script": "A_1*v_1",
        "variables": [
          "A_1",
          "v_1"
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      }
    },
    {
      "id": "A_1",
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      "latex": "A_{1}",
      "subexpr": "A_{1}",
      "chartScript": {
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    },
    {
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      "subexpr": "v_{1}",
      "chartScript": {
        "script": "v_1",
        "variables": [
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      }
    },
    {
      "id": "__multiply_3",
      "type": "operator",
      "op": "multiply",
      "subexpr": "A_{2} v_{2}",
      "chartScript": {
        "script": "A_2*v_2",
        "variables": [
          "A_2",
          "v_2"
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      }
    },
    {
      "id": "A_2",
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      "subexpr": "A_{2}",
      "chartScript": {
        "script": "A_2",
        "variables": [
          "A_2"
        ]
      }
    },
    {
      "id": "v_2",
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      "subexpr": "v_{2}",
      "chartScript": {
        "script": "v_2",
        "variables": [
          "v_2"
        ]
      }
    }
  ],
  "edges": [
    {
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    {
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  ],
  "classification": {
    "kind": "algebraic"
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  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  __multiply_2(("$\times$")):::operator
  A_1["$A_{1}$"]:::scalar
  v_1["$v_{1}$"]:::scalar
  __multiply_3(("$\times$")):::operator
  A_2["$A_{2}$"]:::scalar
  v_2["$v_{2}$"]:::scalar
  A_1 --> __multiply_2
  v_1 --> __multiply_2
  __multiply_2 --> __equals_1
  A_2 --> __multiply_3
  v_2 --> __multiply_3
  __multiply_3 --> __equals_1
  linkStyle 0 stroke:#ef5350,stroke-width:3px
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  linkStyle 2 stroke:#aaa,stroke-width:2px
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  linkStyle 4 stroke:#ef5350,stroke-width:3px
  linkStyle 5 stroke:#aaa,stroke-width:2px

{
  "nodes": [
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      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "Q = A v",
      "chartScript": {
        "script": "-A*v + Q",
        "variables": [
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          "Q",
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      }
    },
    {
      "id": "Q",
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      "latex": "Q",
      "subexpr": "Q",
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        "script": "Q",
        "variables": [
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      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "A v",
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        "script": "A*v",
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    },
    {
      "id": "A",
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      "latex": "A",
      "subexpr": "A",
      "chartScript": {
        "script": "A",
        "variables": [
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        ]
      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    }
  ],
  "edges": [
    {
      "from": "Q",
      "to": "__equals_1"
    },
    {
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      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "v",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_2",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
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  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  Q["$Q$"]:::scalar
  __multiply_2(("$\times$")):::operator
  A["$A$"]:::scalar
  v["$v$"]:::scalar
  Q --> __equals_1
  A --> __multiply_2
  v --> __multiply_2
  __multiply_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#ef5350,stroke-width:3px
  linkStyle 3 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "P = \\frac{F}{A}",
      "chartScript": {
        "script": "P - F/A",
        "variables": [
          "A",
          "F",
          "P"
        ]
      }
    },
    {
      "id": "P",
      "type": "scalar",
      "latex": "P",
      "subexpr": "P",
      "chartScript": {
        "script": "P",
        "variables": [
          "P"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "F \\frac{1}{A}",
      "chartScript": {
        "script": "F/A",
        "variables": [
          "A",
          "F"
        ]
      }
    },
    {
      "id": "F",
      "type": "scalar",
      "latex": "F",
      "subexpr": "F",
      "chartScript": {
        "script": "F",
        "variables": [
          "F"
        ]
      }
    },
    {
      "id": "__power_3",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{A}",
      "chartScript": {
        "script": "1/A",
        "variables": [
          "A"
        ]
      }
    },
    {
      "id": "A",
      "type": "scalar",
      "latex": "A",
      "subexpr": "A",
      "chartScript": {
        "script": "A",
        "variables": [
          "A"
        ]
      }
    }
  ],
  "edges": [
    {
      "from": "P",
      "to": "__equals_1"
    },
    {
      "from": "F",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "A",
      "to": "__power_3"
    },
    {
      "from": "__power_3",
      "to": "__multiply_2"
    },
    {
      "from": "__multiply_2",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef number fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
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  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  P["$P$"]:::scalar
  __multiply_2(("$\times$")):::operator
  F["$F$"]:::scalar
  __power_3(("$\dfrac{1}{(\cdot)}$")):::operator
  A["$A$"]:::scalar
  P --> __equals_1
  F --> __multiply_2
  A --> __power_3
  __power_3 -.-> __multiply_2
  __multiply_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#aaa,stroke-width:2px
  linkStyle 3 stroke:#42a5f5,stroke-width:1px
  linkStyle 4 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "q = \\frac{1}{2} \\rho v^2",
      "chartScript": {
        "script": "q - 1/2*rho*pow(v, 2)",
        "variables": [
          "q",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "q",
      "type": "scalar",
      "latex": "q",
      "subexpr": "q",
      "chartScript": {
        "script": "q",
        "variables": [
          "q"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\frac{1}{2} \\rho v^{2}",
      "chartScript": {
        "script": "(1/2)*rho*pow(v, 2)",
        "variables": [
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__power_3",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{2}",
      "chartScript": {
        "script": "1/2",
        "variables": []
      }
    },
    {
      "id": "__num_4",
      "type": "number",
      "label": "2",
      "subexpr": "2",
      "chartScript": {
        "script": "2",
        "variables": []
      }
    },
    {
      "id": "__multiply_5",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\rho v^{2}",
      "chartScript": {
        "script": "rho*pow(v, 2)",
        "variables": [
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "rho",
      "type": "scalar",
      "latex": "\\rho",
      "subexpr": "\\rho",
      "chartScript": {
        "script": "rho",
        "variables": [
          "rho"
        ]
      }
    },
    {
      "id": "__power_6",
      "type": "operator",
      "op": "power",
      "exponent": "2",
      "subexpr": "v^{2}",
      "chartScript": {
        "script": "pow(v, 2)",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    }
  ],
  "edges": [
    {
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      "to": "__equals_1"
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    },
    {
      "from": "__power_3",
      "to": "__multiply_2"
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    {
      "from": "rho",
      "to": "__multiply_5",
      "semantic": "direct",
      "weight": 1.0
    },
    {
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    },
    {
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      "semantic": "direct",
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    },
    {
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      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef number fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef relation fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef result fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  q["$q$"]:::scalar
  __multiply_2(("$\times$")):::operator
  __power_3(("$\dfrac{1}{(\cdot)}$")):::operator
  __num_4["$2$"]:::number
  __multiply_5(("$\times$")):::operator
  rho["$\rho$"]:::scalar
  __power_6(("${(\cdot)}^{2}$")):::operator
  v["$v$"]:::scalar
  q --> __equals_1
  __num_4 --> __power_3
  __power_3 -.-> __multiply_2
  rho --> __multiply_5
  v --> __power_6
  __power_6 --> __multiply_5
  __multiply_5 --> __multiply_2
  __multiply_2 --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#aaa,stroke-width:2px
  linkStyle 2 stroke:#42a5f5,stroke-width:1px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#aaa,stroke-width:2px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#ef5350,stroke-width:3px
  linkStyle 7 stroke:#aaa,stroke-width:2px

{
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    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "P + \\frac{1}{2} \\rho v^2 + \\rho g h = C",
      "chartScript": {
        "script": "-C + P + g*h*rho + (1/2)*rho*pow(v, 2)",
        "variables": [
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          "g",
          "h",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__add_2",
      "type": "operator",
      "op": "add",
      "subexpr": "\\rho h g + P + \\frac{1}{2} \\rho v^{2}",
      "chartScript": {
        "script": "P + g*h*rho + (1/2)*rho*pow(v, 2)",
        "variables": [
          "P",
          "g",
          "h",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__add_3",
      "type": "operator",
      "op": "add",
      "subexpr": "P + \\frac{1}{2} \\rho v^{2}",
      "chartScript": {
        "script": "P + (1/2)*rho*pow(v, 2)",
        "variables": [
          "P",
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "P",
      "type": "scalar",
      "latex": "P",
      "subexpr": "P",
      "chartScript": {
        "script": "P",
        "variables": [
          "P"
        ]
      }
    },
    {
      "id": "__multiply_4",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\frac{1}{2} \\rho v^{2}",
      "chartScript": {
        "script": "(1/2)*rho*pow(v, 2)",
        "variables": [
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "__power_5",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{2}",
      "chartScript": {
        "script": "1/2",
        "variables": []
      }
    },
    {
      "id": "__num_6",
      "type": "number",
      "label": "2",
      "subexpr": "2",
      "chartScript": {
        "script": "2",
        "variables": []
      }
    },
    {
      "id": "__multiply_7",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\rho v^{2}",
      "chartScript": {
        "script": "rho*pow(v, 2)",
        "variables": [
          "rho",
          "v"
        ]
      }
    },
    {
      "id": "rho",
      "type": "scalar",
      "latex": "\\rho",
      "subexpr": "\\rho",
      "chartScript": {
        "script": "rho",
        "variables": [
          "rho"
        ]
      }
    },
    {
      "id": "__power_8",
      "type": "operator",
      "op": "power",
      "exponent": "2",
      "subexpr": "v^{2}",
      "chartScript": {
        "script": "pow(v, 2)",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "__multiply_9",
      "type": "operator",
      "op": "multiply",
      "subexpr": "\\rho h g",
      "chartScript": {
        "script": "g*h*rho",
        "variables": [
          "g",
          "h",
          "rho"
        ]
      }
    },
    {
      "id": "__multiply_10",
      "type": "operator",
      "op": "multiply",
      "subexpr": "h g",
      "chartScript": {
        "script": "g*h",
        "variables": [
          "g",
          "h"
        ]
      }
    },
    {
      "id": "g",
      "type": "scalar",
      "latex": "g",
      "subexpr": "g",
      "chartScript": {
        "script": "g",
        "variables": [
          "g"
        ]
      }
    },
    {
      "id": "h",
      "type": "scalar",
      "latex": "h",
      "subexpr": "h",
      "chartScript": {
        "script": "h",
        "variables": [
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      }
    },
    {
      "id": "C",
      "type": "scalar",
      "latex": "C",
      "subexpr": "C",
      "chartScript": {
        "script": "C",
        "variables": [
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      }
    }
  ],
  "edges": [
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    },
    {
      "from": "__power_5",
      "to": "__multiply_4"
    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
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    },
    {
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      "semantic": "direct",
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    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
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    },
    {
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      "to": "__add_2"
    },
    {
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      "to": "__multiply_9",
      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "to": "__multiply_10",
      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "semantic": "direct",
      "weight": 1.0
    },
    {
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      "to": "__add_2"
    },
    {
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      "to": "__equals_1"
    },
    {
      "from": "C",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
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  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef relation fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef result fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
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  __add_2(("$+$")):::operator
  __add_3(("$+$")):::operator
  P["$P$"]:::scalar
  __multiply_4(("$\times$")):::operator
  __power_5(("$\dfrac{1}{(\cdot)}$")):::operator
  __num_6["$2$"]:::number
  __multiply_7(("$\times$")):::operator
  rho["$\rho$"]:::scalar
  __power_8(("${(\cdot)}^{2}$")):::operator
  v["$v$"]:::scalar
  __multiply_9(("$\times$")):::operator
  __multiply_10(("$\times$")):::operator
  g["$g$"]:::scalar
  h["$h$"]:::scalar
  C["$C$"]:::scalar
  P --> __add_3
  __num_6 --> __power_5
  __power_5 -.-> __multiply_4
  rho --> __multiply_7
  v --> __power_8
  __power_8 --> __multiply_7
  __multiply_7 --> __multiply_4
  __multiply_4 --> __add_3
  __add_3 --> __add_2
  rho --> __multiply_9
  g --> __multiply_10
  h --> __multiply_10
  __multiply_10 --> __multiply_9
  __multiply_9 --> __add_2
  __add_2 --> __equals_1
  C --> __equals_1
  linkStyle 0 stroke:#aaa,stroke-width:2px
  linkStyle 1 stroke:#aaa,stroke-width:2px
  linkStyle 2 stroke:#42a5f5,stroke-width:1px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#aaa,stroke-width:2px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#ef5350,stroke-width:3px
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  linkStyle 8 stroke:#aaa,stroke-width:2px
  linkStyle 9 stroke:#ef5350,stroke-width:3px
  linkStyle 10 stroke:#ef5350,stroke-width:3px
  linkStyle 11 stroke:#ef5350,stroke-width:3px
  linkStyle 12 stroke:#ef5350,stroke-width:3px
  linkStyle 13 stroke:#aaa,stroke-width:2px
  linkStyle 14 stroke:#aaa,stroke-width:2px
  linkStyle 15 stroke:#aaa,stroke-width:2px

{
  "nodes": [
    {
      "id": "__equals_1",
      "type": "relation",
      "op": "equals",
      "subexpr": "Fr = \\frac{v}{\\sqrt{g L}}",
      "chartScript": {
        "script": "F*r - v/sqrt(L*g)",
        "variables": [
          "F",
          "L",
          "g",
          "r",
          "v"
        ]
      }
    },
    {
      "id": "__multiply_2",
      "type": "operator",
      "op": "multiply",
      "subexpr": "F r",
      "chartScript": {
        "script": "F*r",
        "variables": [
          "F",
          "r"
        ]
      }
    },
    {
      "id": "F",
      "type": "scalar",
      "latex": "F",
      "subexpr": "F",
      "chartScript": {
        "script": "F",
        "variables": [
          "F"
        ]
      }
    },
    {
      "id": "r",
      "type": "scalar",
      "latex": "r",
      "subexpr": "r",
      "chartScript": {
        "script": "r",
        "variables": [
          "r"
        ]
      }
    },
    {
      "id": "__multiply_3",
      "type": "operator",
      "op": "multiply",
      "subexpr": "v \\frac{1}{\\sqrt{L g}}",
      "chartScript": {
        "script": "v/sqrt(L*g)",
        "variables": [
          "L",
          "g",
          "v"
        ]
      }
    },
    {
      "id": "v",
      "type": "scalar",
      "latex": "v",
      "subexpr": "v",
      "chartScript": {
        "script": "v",
        "variables": [
          "v"
        ]
      }
    },
    {
      "id": "__power_4",
      "type": "operator",
      "latex": "\\dfrac{1}{(\\cdot)}",
      "op": "power",
      "exponent": "-1",
      "subexpr": "\\frac{1}{\\sqrt{L g}}",
      "chartScript": {
        "script": "pow(L*g, -1/2)",
        "variables": [
          "L",
          "g"
        ]
      }
    },
    {
      "id": "__power_5",
      "type": "operator",
      "op": "power",
      "exponent": "1/2",
      "subexpr": "\\sqrt{L g}",
      "chartScript": {
        "script": "sqrt(L*g)",
        "variables": [
          "L",
          "g"
        ]
      }
    },
    {
      "id": "__multiply_6",
      "type": "operator",
      "op": "multiply",
      "subexpr": "g L",
      "chartScript": {
        "script": "L*g",
        "variables": [
          "L",
          "g"
        ]
      }
    },
    {
      "id": "g",
      "type": "scalar",
      "latex": "g",
      "subexpr": "g",
      "chartScript": {
        "script": "g",
        "variables": [
          "g"
        ]
      }
    },
    {
      "id": "L",
      "type": "scalar",
      "latex": "L",
      "subexpr": "L",
      "chartScript": {
        "script": "L",
        "variables": [
          "L"
        ]
      }
    }
  ],
  "edges": [
    {
      "from": "F",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "r",
      "to": "__multiply_2",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_2",
      "to": "__equals_1"
    },
    {
      "from": "v",
      "to": "__multiply_3",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "g",
      "to": "__multiply_6",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "L",
      "to": "__multiply_6",
      "semantic": "direct",
      "weight": 1.0
    },
    {
      "from": "__multiply_6",
      "to": "__power_5"
    },
    {
      "from": "__power_5",
      "to": "__power_4"
    },
    {
      "from": "__power_4",
      "to": "__multiply_3"
    },
    {
      "from": "__multiply_3",
      "to": "__equals_1"
    }
  ],
  "classification": {
    "kind": "algebraic"
  },
  "domain": "mechanics"
}

flowchart RL
  classDef scalar fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef vector fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef constant fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef number fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef expression fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef text fill:#1b3a1e,stroke:#66bb6a,color:#c8e6c9,font-size:15px
  classDef operator fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef function fill:#1a2740,stroke:#42a5f5,color:#bbdefb,font-size:15px
  classDef relation fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef result fill:#332a0b,stroke:#ffa726,color:#ffe0b2,font-size:15px
  classDef annotation fill:#131a2c,stroke:#4a5580,color:#b0bcd0,font-size:15px
  __equals_1{"="}:::relation
  __multiply_2(("$\times$")):::operator
  F["$F$"]:::scalar
  r["$r$"]:::scalar
  __multiply_3(("$\times$")):::operator
  v["$v$"]:::scalar
  __power_4(("$\dfrac{1}{(\cdot)}$")):::operator
  __power_5(("${(\cdot)}^{1/2}$")):::operator
  __multiply_6(("$\times$")):::operator
  g["$g$"]:::scalar
  L["$L$"]:::scalar
  F --> __multiply_2
  r --> __multiply_2
  __multiply_2 --> __equals_1
  v --> __multiply_3
  g --> __multiply_6
  L --> __multiply_6
  __multiply_6 --> __power_5
  __power_5 --> __power_4
  __power_4 -.-> __multiply_3
  __multiply_3 --> __equals_1
  linkStyle 0 stroke:#ef5350,stroke-width:3px
  linkStyle 1 stroke:#ef5350,stroke-width:3px
  linkStyle 2 stroke:#aaa,stroke-width:2px
  linkStyle 3 stroke:#ef5350,stroke-width:3px
  linkStyle 4 stroke:#ef5350,stroke-width:3px
  linkStyle 5 stroke:#ef5350,stroke-width:3px
  linkStyle 6 stroke:#aaa,stroke-width:2px
  linkStyle 7 stroke:#aaa,stroke-width:2px
  linkStyle 8 stroke:#42a5f5,stroke-width:1px
  linkStyle 9 stroke:#aaa,stroke-width:2px