ComputeFirst

Dimension equation check

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

Check both sides of an equation have the same dimension (optionally a claimed one); returns the first bad node or side.

Use when you need to: check an equation for dimensional homogeneity · do both sides of this equation have the same units · dimensional analysis of a physics equation.

Decide before calling

Read the versioned contract and the supported scope below. Reuse dimension-equation-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-equation-check@1.0.0 for check an equation for dimensional homogeneity. 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:

{
  "equation": "E = m*v^2/2",
  "symbols": [
    {
      "symbol": "E",
      "dimension": "L^2 M T^-2"
    },
    {
      "symbol": "m",
      "dimension": "M"
    },
    {
      "symbol": "v",
      "dimension": "L T^-1"
    }
  ]
}

Response:

{
  "result": {
    "valid": true,
    "reason": null,
    "first_discrepancy": null,
    "dimension": "L^2 M T^-2",
    "node_count": 7,
    "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-equation-check",
  "version": "1.0.0",
  "input": {
    "equation": "E = m*v^2/2",
    "symbols": [
      {
        "symbol": "E",
        "dimension": "L^2 M T^-2"
      },
      {
        "symbol": "m",
        "dimension": "M"
      },
      {
        "symbol": "v",
        "dimension": "L T^-1"
      }
    ]
  }
}

HTTP (no key)

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

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

CLI

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

Get the client at /clients/cli/.