# UK Data: Science formulas

> Physics, chemistry and biology formulas: velocity, electric field, resistance, growth, cell density

- name: uk.co.reliness/science-formulas
- version: 1.5.0
- connection class: R0 (autonomous)
- trust: 83/100 flags: no-repository
- quality: 89/100 (new)
- owner: not claimed
- descriptor: https://api.protogrid.dev/v1/servers/uk.co.reliness%2Fscience-formulas
- tools: https://api.protogrid.dev/v1/servers/uk.co.reliness%2Fscience-formulas/tools

**An agent can connect right now, no human step.** Remote endpoint, no authentication, reachable on the last probe.

## Connection (mcpServers)

```json
{
  "mcpServers": {
    "science-formulas": {
      "type": "http",
      "url": "https://ukdata.reliness.co.uk/mcp/science-formulas",
      "headers": {
        "Authorization": "Bearer ${SCIENCE_FORMULAS_TOKEN}"
      }
    }
  }
}
```

Placeholders to fill: `${SCIENCE_FORMULAS_TOKEN}`.

## Trust

- hygiene: 80
- liveness: 100
- freshness: 100
- provenance: 55
- drivers: +dns-namespace +website +reachable +uptime-100% +updated-7d-ago -no-repository
- Derived from observable signals (official registry feed and our own credential-free probes); no code audit performed.

## Quality 89/100 (new)

### protocol: 75 (weight 25)

- warn `protocol.modern`: newest supported version is 2025-11-25; 2026-07-28 not supported, older versions are deprecated until 2027-07-28
- n/a `protocol.stateless`: only applies to 2026-07-28 servers
- pass `protocol.transport`: streamable HTTP
- n/a `protocol.list_ttl`: only applies to 2026-07-28 servers

### authorization: n/a (weight 15)

- n/a `auth.prm`, `auth.as_metadata`, `auth.cimd`: no remote uses OAuth
- n/a `auth.secret_in_url`: no templated URL

### tool hygiene: 100 (weight 30)

- pass `tools.descriptions`: every tool has a description
- pass `tools.description_length`: descriptions are concise
- pass `tools.schemas`: every tool has an object input schema
- pass `tools.annotations`: 7 of 7 tools declare readOnlyHint or destructiveHint
- pass `tools.directory_hints`: every tool declares readOnlyHint, destructiveHint, idempotentHint and openWorldHint
- pass `tools.token_cost`: about 1,313 tokens to load every tool
- pass `tools.api_dump`: tools are not a one-to-one API dump
- pass `tools.hidden_text`: no hidden text in tool names, descriptions, schemas or annotations

### stability: n/a (weight 15)

- n/a `stability.changes`, `stability.rug_pull`, `stability.new_links`: tool history recorded for 6 of the 7 days needed

### dependencies: n/a (weight 15)

- n/a `deps.known_vulns`, `deps.mcp_sdk_version`, `deps.resolvable`: no npm or PyPI package

- tools: 7, about 1,313 tokens to load them all
- tool set hash: 32bd0f17f77b87691875733bf8b00149
- badge: [![protogrid quality](https://protogrid.dev/badge/uk.co.reliness/science-formulas.svg)](https://protogrid.dev/servers/uk.co.reliness/science-formulas)
- Checks run on what our credential-free, read-only probes observe; tools are never called and no code audit is performed.

### Tool changes

_No tool definition changes recorded._

## Remotes

- https://ukdata.reliness.co.uk/mcp/science-formulas (streamable-http, auth none, reachable true, uptime30d 1)

## Packages

_none_

## Tools (7)

- `calculate_bacterial_growth`: Calculates bacterial population after a given time using exponential growth formula: N(t) = N₀ × e^(rt) or N(t) = N₀ × 2^(t/doubling_time). (cost: 1 credit)
- `calculate_cell_density`: Calculates cell density (cells per mL) from optical density (OD) measurement and dilution factor. Formula: OD × dilution × factor (default 1e9 cells/mL per OD unit, organism-dependent). (cost: 1 credit)
- `calculate_electric_field`: Calculates the electric field strength produced by a point charge at a given distance using Coulomb's law: E = kQ/r². Uses permittivity parameter or defaults to vacuum permittivity. (cost: 1 credit)
- `calculate_final_velocity`: Calculates final velocity using the kinematic equation: v = v₀ + at, where v₀ is initial velocity, a is acceleration, and t is time. (cost: 1 credit)
- `potential_energy`: Calculates electrostatic potential energy using the formula U = qV, where U is energy, q is charge, and V is voltage. (cost: 1 credit)
- `project_population`: Projects future population size using exponential growth formula with a constant annual growth rate (percentage). (cost: 1 credit)
- `wire_resistance`: Calculates electrical resistance of a wire using the formula R = ρL/A, where R is resistance, ρ is material resistivity, L is length, and A is cross-sectional area. (cost: 1 credit)