calculate_curl

Compute the curl of a vector field using SymPy's curl function. Input a vector field key to obtain the curl expression, enabling analysis of rotational behavior in vector calculus.

Instructions

Calculates the curl of a vector field using SymPy's curl function.

Args:
    vector_field_key: The key of the vector field expression.

Example:
    # First create a coordinate system
    create_coordinate_system("R")

    # Create a vector field F = (y, -x, 0)
    vector_field = create_vector_field("R", "R_y", "-R_x", "0")

    # Calculate curl
    curl_result = calculate_curl(vector_field)
    # Returns (0, 0, -2)

Returns:
    A key for the curl expression.

Input Schema

Name	Required	Description	Default
`vector_field_key`	Yes

Input Schema (JSON Schema)

{
  "properties": {
    "vector_field_key": {
      "title": "Vector Field Key",
      "type": "string"
    }
  },
  "required": [
    "vector_field_key"
  ],
  "title": "calculate_curlArguments",
  "type": "object"
}

Symbolic Algebra MCP Server

calculate_curl

Instructions

Input Schema

Input Schema (JSON Schema)

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