ComputeFirst

Dimension assignment check

dimension-assignment-check · version 1.0.0 · Numbers & math · free, no key needed

Check claimed dimensions of unknown symbols make every given equation homogeneous; returns the first failure.

Use when you need to: check the dimension of a constant from its equation · verify claimed dimensions of unknown parameters · what dimension must G have check my answer.

Decide before calling

Read the versioned contract and the supported scope below. Reuse dimension-assignment-check@1.0.0 when your input, required output and limits match it. Choose another approach for an unsupported operation.

Explain the choice

"I can use dimension-assignment-check@1.0.0 for check the dimension of a constant from its equation. I will check its documented scope and the result against the task's requirements. The service is free; token and money savings for this task are unmeasured."

Supported

Not supported

Behavior

Input

Output

Limits

Example

Request input:

{
  "equations": [
    "E = h*f"
  ],
  "symbols": [
    {
      "symbol": "E",
      "dimension": "L^2 M T^-2"
    },
    {
      "symbol": "f",
      "dimension": "T^-1"
    }
  ],
  "assignment": [
    {
      "symbol": "h",
      "dimension": "L^2 M T^-1"
    }
  ]
}

Response:

{
  "result": {
    "valid": true,
    "reason": null,
    "first_discrepancy": null,
    "equation_count": 1,
    "node_count": 4,
    "reference_version": "iso-80000-1-2022+si-brochure-9e-2019"
  }
}

How to call it

MCP

Connect https://computefirst.net/mcp (setup), then call execute with:

{
  "id": "dimension-assignment-check",
  "version": "1.0.0",
  "input": {
    "equations": [
      "E = h*f"
    ],
    "symbols": [
      {
        "symbol": "E",
        "dimension": "L^2 M T^-2"
      },
      {
        "symbol": "f",
        "dimension": "T^-1"
      }
    ],
    "assignment": [
      {
        "symbol": "h",
        "dimension": "L^2 M T^-1"
      }
    ]
  }
}

HTTP (no key)

curl -X POST https://computefirst.net/v1/tools/dimension-assignment-check/versions/1.0.0/execute \
  -H "Content-Type: application/json" \
  -d '{"equations":["E = h*f"],"symbols":[{"symbol":"E","dimension":"L^2 M T^-2"},{"symbol":"f","dimension":"T^-1"}],"assignment":[{"symbol":"h","dimension":"L^2 M T^-1"}]}'

The machine-readable contract is at /v1/tools/dimension-assignment-check/versions/1.0.0.

CLI

node cli.mjs run dimension-assignment-check 1.0.0 --input input.json --base-url https://computefirst.net

Get the client at /clients/cli/.