{
  "schemaVersion": 1,
  "lessonId": "science-02",
  "contentHash": "234d7211d2bf84a53616cb343de4501461839ddc5882b35fa1fe0f6f3f80225e",
  "executedAt": "2026-10-20T10:47:57.386723+00:00",
  "environment": {
    "backend": "cpu",
    "deviceCount": 1,
    "python": "3.14.3",
    "jax": "0.9.2",
    "numpy": "2.4.4",
    "matplotlib": "3.10.8"
  },
  "stdout": "Shape: (3, 41) endpoints: [0.12329848 0.24659697 0.49319394]\nscan(vectors) transposed equals vmap(scan)\nShape: (3, 41) endpoints: [0.12329848 0.24659697 0.49319394]\nscan(vectors) transposed equals vmap(scan)\nRK4 polynomial maximum difference: 1.4432899320127035e-15\nPaired-rate endpoints: [0.33516002 0.24659697 0.22160636]\nPermutation preserves trajectory identity\nOnly final states returned: [0.12329848 0.24659697 0.49319394]\nGrid axes: rate, initial condition, time (3, 3, 41)\nPASS: science-02\n",
  "notebookCells": [
    {
      "sourceHash": "7ddc589c0f66e631fbea63882c0255ffbf7bc5a5e992f2645e610657b0fa2126",
      "outputs": []
    },
    {
      "sourceHash": "c19cd08221bd4bec973f9a9c3e0f9f6dd66b5583031e63495b069591b6fbae68",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Shape: (3, 41) endpoints: [0.12329848 0.24659697 0.49319394]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ab130a6cd3a018c4f3292069a93f3e422c5c58d49d60d518fa1b82f91d8ff970",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "scan(vectors) transposed equals vmap(scan)\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "13728cb060687c1df2caf54021252b63803b0935853ca8e684bbb841fd4560f7",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Shape: (3, 41) endpoints: [0.12329848 0.24659697 0.49319394]\n",
            "scan(vectors) transposed equals vmap(scan)\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "41e737931aeb0861c0a5411eb9b98fc65f77690038855d313a485c90817c5e53",
      "outputs": []
    },
    {
      "sourceHash": "25df6d662f9d3f0c4e984c6a201f79fa0cfd7a2633dc4b0773dfba6c2dd4ee6c",
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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hdPnVF3br3wMAANAfEMAAAAAAAAAAAAQYesAAAAAAAAAAAAQYAhgAAAAAAAAAgABDAAMAAAAAAAAAEGAIYAAAAAAAAAAAAgwBDAAAAAAAAAAABdb/Ayb3509xxTukAAAAAElFTkSuQmCC",
            "text/plain": [
              "Executed Matplotlib figure"
            ]
          }
        }
      ]
    },
    {
      "sourceHash": "100d6d2730fb50344f1cf4b9d809740f51b3e07c0c37b4999a5a23d3b84a396d",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "RK4 polynomial maximum difference: 1.4432899320127035e-15\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "ea306c25e4a76a73b4bc3b5655284c59a53c7095f915acfc3cb3f62039928c03",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Paired-rate endpoints: [0.33516002 0.24659697 0.22160636]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "2eee6e63d23da2dddd31263bdbe61d89c25fe2f89301f2f0d7c7a2115792eaf7",
      "outputs": []
    },
    {
      "sourceHash": "f03412064cbc0b038febd51b570f3b6ff5a9f5e061a804b34d2b8ae8ffc0621d",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Permutation preserves trajectory identity\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "10f9dbd10d2b96d53d75d34c3f4d67fb1014e13aec31f2be96ba36fbbdcbaa38",
      "outputs": []
    },
    {
      "sourceHash": "6ded2160d67b0389ac12f549d40be34958b400c2fe47d61aa0afcc91054b4809",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Only final states returned: [0.12329848 0.24659697 0.49319394]\n"
          ]
        }
      ]
    },
    {
      "sourceHash": "4588053a04b66254b9b976c2aa9b5f45c232566837717368102fa90097aee90b",
      "outputs": []
    },
    {
      "sourceHash": "a844409d041e48914891de4ca298e56bfab6c5fac8af44105f2deaf48d5981b3",
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Grid axes: rate, initial condition, time (3, 3, 41)\n"
          ]
        }
      ]
    }
  ],
  "scope": "Recorded instructor reference run; all script assertions and notebook code cells passed. No accelerator performance claim."
}
