Uncertainty Calculator

Evaluate mathematical expressions and propagate measurement uncertainty.

Should I use this

Quality & Safety

A
Description quality
100%
Schema completeness
80%
Naming quality
100%
Poisoning risk
100%
Permission match
100%
Protocol compliance
100%

Based on automated analysis of tool definitions and protocol compliance.

Context Cost

~991Tokens (tool definitions)
~10.8 KBTypical response size
Moderate attention impact (0.77% of 128k context)

This is the approximate number of tokens consumed each time the server's tools are loaded into a model's context. Higher counts reduce the attention available for other tasks.

Install

One-Click Install

Add this to your `claude_desktop_config.json` file:

{
  "mcpServers": {
    "uncertainty-calculator": {
      "url": "https://uncertaintycalculator.com/api/mcp"
    }
  }
}

Remote endpoints

https://uncertaintycalculator.com/api/mcpstreamable-http

What it can do

Tool inventory

Tools (1)

🟒 Read-only🟑 WriteπŸ”΄ Deleteβšͺ Unknown
🟒calculate_uncertainty(expression, variables)

Evaluate a mathematical expression and propagate measurement uncertainty. Use Β± for measurements, for example 2*x with variables {"x":"3Β±0.1"}. Variable names are single ASCII letters; lowercase e is reserved for Euler’s number. Pass variables: {} when no variables are needed. Results include raw and rounded values and human-readable and LaTeX expressions. Measurements are treated as independent; repeated uses of the same variable share its uncertainty.

Input Schema

{
  "type": "object",
  "properties": {
    "expression": {
      "type": "string",
      "pattern": "\\S"
    },
    "variables": {
      "type": "object",
      "properties": {
        "a": {
          "type": "string"
        },
        "b": {
          "type": "string"
        },
        "c": {
          "type": "string"
        },
        "d": {
          "type": "string"
        },
        "f": {
          "type": "string"
        },
        "g": {
          "type": "string"
        },
        "h": {
          "type": "string"
        },
        "i": {
          "type": "string"
        },
        "j": {
          "type": "string"
        },
        "k": {
          "type": "string"
        },
        "l": {
          "type": "string"
        },
        "m": {
          "type": "string"
        },
        "n": {
          "type": "string"
        },
        "o": {
          "type": "string"
        },
        "p": {
          "type": "string"
        },
        "q": {
          "type": "string"
        },
        "r": {
          "type": "string"
        },
        "s": {
          "type": "string"
        },
        "t": {
          "type": "string"
        },
        "u": {
          "type": "string"
        },
        "v": {
          "type": "string"
        },
        "w": {
          "type": "string"
        },
        "x": {
          "type": "string"
        },
        "y": {
          "type": "string"
        },
        "z": {
          "type": "string"
        },
        "A": {
          "type": "string"
        },
        "B": {
          "type": "string"
        },
        "C": {
          "type": "string"
        },
        "D": {
          "type": "string"
        },
        "E": {
          "type": "string"
        },
        "F": {
          "type": "string"
        },
        "G": {
          "type": "string"
        },
        "H": {
          "type": "string"
        },
        "I": {
          "type": "string"
        },
        "J": {
          "type": "string"
        },
        "K": {
          "type": "string"
        },
        "L": {
          "type": "string"
        },
        "M": {
          "type": "string"
        },
        "N": {
          "type": "string"
        },
        "O": {
          "type": "string"
        },
        "P": {
          "type": "string"
        },
        "Q": {
          "type": "string"
        },
        "R": {
          "type": "string"
        },
        "S": {
          "type": "string"
        },
        "T": {
          "type": "string"
        },
        "U": {
          "type": "string"
        },
        "V": {
          "type": "string"
        },
        "W": {
          "type": "string"
        },
        "X": {
          "type": "string"
        },
        "Y": {
          "type": "string"
        },
        "Z": {
          "type": "string"
        }
      },
      "additionalProperties": false
    }
  },
  "required": [
    "expression",
    "variables"
  ],
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "additionalProperties": false
}

Output Schema

{
  "type": "object",
  "$schema": "https://json-schema.org/draft/2020-12/schema",
  "anyOf": [
    {
      "type": "object",
      "properties": {
        "exact": {
          "type": "object",
          "properties": {
            "raw": {
              "type": "string"
            }
          },
          "required": [
            "raw"
          ],
          "additionalProperties": false
        }
      },
      "required": [
        "exact"
      ],
      "additionalProperties": false
    },
    {
      "type": "object",
      "properties": {
        "estimate": {
          "type": "object",
          "properties": {
            "value": {
              "type": "object",
              "properties": {
                "raw": {
                  "type": "string"
                },
                "rounded": {
                  "type": "string"
                }
              },
              "required": [
                "raw",
                "rounded"
              ],
              "additionalProperties": false
            },
            "expression": {
              "type": "object",
              "properties": {
                "symbolic": {
                  "type": "object",
                  "properties": {
                    "latex": {
                      "type": "string"
                    },
                    "human": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "latex",
                    "human"
                  ],
                  "additionalProperties": false
                },
                "asEntered": {
                  "type": "object",
                  "properties": {
                    "latex": {
                      "type": "string"
                    },
                    "human": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "latex",
                    "human"
                  ],
                  "additionalProperties": false
                }
              },
              "required": [
                "symbolic",
                "asEntered"
              ],
              "additionalProperties": false
            }
          },
          "required": [
            "value",
            "expression"
          ],
          "additionalProperties": false
        },
        "uncertainty": {
          "type": "object",
          "properties": {
            "value": {
              "type": "object",
              "properties": {
                "raw": {
                  "type": "string"
                },
                "rounded": {
                  "type": "string"
                }
              },
              "required": [
                "raw",
                "rounded"
              ],
              "additionalProperties": false
            },
            "relative": {
              "type": "object",
              "properties": {
                "raw": {
                  "type": "string"
                },
                "rounded": {
                  "type": "string"
                }
              },
              "required": [
                "raw",
                "rounded"
              ],
              "additionalProperties": false
            },
            "expression": {
              "type": "object",
              "properties": {
                "symbolic": {
                  "type": "object",
                  "properties": {
                    "latex": {
                      "type": "string"
                    },
                    "human": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "latex",
                    "human"
                  ],
                  "additionalProperties": false
                },
                "asEntered": {
                  "type": "object",
                  "properties": {
                    "latex": {
                      "type": "string"
                    },
                    "human": {
                      "type": "string"
                    }
                  },
                  "required": [
                    "latex",
                    "human"
                  ],
                  "additionalProperties": false
                }
              },
              "required": [
                "symbolic",
                "asEntered"
              ],
              "additionalProperties": false
            }
          },
          "required": [
            "value",
            "relative",
            "expression"
          ],
          "additionalProperties": false
        }
      },
      "required": [
        "estimate",
        "uncertainty"
      ],
      "additionalProperties": false
    },
    {
      "type": "object",
      "properties": {
        "error": {
          "type": "string",
          "minLength": 1
        },
        "issues": {
          "minItems": 1,
          "type": "array",
          "items": {
            "type": "object",
            "properties": {
              "code": {
                "type": "string"
              },
              "path": {
                "type": "array",
                "items": {
                  "type": [
                    "string",
                    "number"
                  ]
                }
              },
              "message": {
                "type": "string"
              }
            },
            "required": [
              "code",
              "path",
              "message"
            ],
            "additionalProperties": {}
          }
        }
      },
      "required": [
        "error"
      ],
      "additionalProperties": false
    }
  ]
}

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Evidence

Recent observations

verifiedversion not recorded1 tools