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Connect Continued Fraction Expander to ChatGPT and Claude

Set it up once and it works in ChatGPT, Claude, Cursor, and any other client you love. It all runs safely in the background, so you can relax and focus on what really matters. Turn any real number into precise mathematical expansions.

Ask AI about this Connector

Developed, maintained, and hosted by Vinkius.

MCP VERIFIED · PRODUCTION READY · VINKIUS GUARANTEED

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Works with modern AI clients that support MCP, including ChatGPT, Claude, Cursor, and more.

ChatGPTClaudeCursorPerplexityGeminiMicrosoft CopilotRaycastMeta AI

Your AI does the work. We keep it safe and sound.

No other AI tool gives you this. Your workflow runs in the client you already love, your account stays protected, and you decide what the agent can and cannot do. It is the whole reason to make the switch.

Each Connector lives inside our infrastructure, the same place where your workflow runs. The three things below are already part of it, working quietly in the background so you never have to think about them. Nothing to add, nothing to set up, nothing to worry about.

A futuristic MCP client docking bay
V8 Isolate01

Each Connector runs inside its own sealed environment.

Each Connector runs inside its own sealed V8 runtime — no access to your files, your system, or other servers. A Connector never sees past its own request.

Kill Switch02

One switch stops every agent. Instantly.

One action deactivates every Connector, revokes every token, and ends every session at once. AI Governance keeps the record.

FinOps per User03

Spending limits that pause instead of surprise.

Every user keeps their own connections and credentials, isolated from everyone else. Anything that would cross your spending limit is held for your approval, not billed.

Three controls, built into the layer your AI connects through.

Curated set · 4 capabilities

We ship only the actions that matter.

Capability set01 / 01

01-04

4 capabilities in this set.

Part of 4 available through Continued Fraction Expander.

  1. 01

    Expand fraction

    This capability converts a specific value into a full continued fraction expansion sequence.

  2. 02

    Find optimal term count

    Use this to determine the minimum number of terms needed to meet a specific precision goal.

  3. 03

    Get convergent details

    This capability provides the mathematical context and details for a specific convergent.

  4. 04

    Validate expansion parameters

    This capability checks if your input parameters for an expansion are mathematically valid.

Real work

What teams actually run

01

Number Theory Research

Decompose irrational numbers into continued fraction sequences for study.

02

Precision Modeling

Find the minimum number of terms needed to reach a specific error tolerance.

03

Mathematical Validation

Check if expansion parameters are sound before running complex simulations.

04

Rational Approximation

Convert real numbers into sequences of convergents for easier handling.

One connector, every AI

Continued Fraction Expander works with the most popular AI clients.

These are the most popular clients, each with a step-by-step guide: one link, set up once, with governance and visibility built in. And because everything runs on the MCP standard, the same connection also works in any other compatible client — nothing to rebuild.

ClaudeClaudeChatGPTChatGPTGeminiGeminiPerplexityPerplexityGrokGrokMicrosoft CopilotMicrosoft CopilotCursorCursorVS CodeVS CodeWindsurfWindsurfJetBrainsJetBrainsClineClineLangChainLangChainVercel AI SDKVercel AI SDKLovableLovableZ.aiZ.aiRaycastRaycastQwen CodeQwen CodeKimi CodeKimi CodeLe ChatLe Chat

Building your own app? The connector is yours to use.

You don't need a client to put Continued Fraction Expander to work: the same hosted connection plugs into your own applications and agent code, with the same governance on every request. Build with it, chat with it — one connection for both.

Observed, not estimated

1165ms average. Fast in production.

Continued Fraction Expander is checked daily against the live service.

Daily averagePeak 1165ms
Oct 15Today
Fastest day
1137ms
Slowest day
1165ms
14-day trend
Stable-2%

Connect your client

One URL. Every client.

Activate the Connector, copy your link, and paste it into the client you already use. 4 capabilities arrive ready to run.

Preview access · not provider authentication

The vk_preview_* token belongs to Vinkius preview infrastructure. It lets Claude discover and display the capabilities of Continued Fraction Expander, so you can see the experience inside your AI.

It does not authenticate your account with Continued Fraction Expander. Actions requiring credentials or live account data may not run until you activate the Connector and authorize the service.

Continued Fraction Expander Connector

You're all set. Choose your MCP client and follow the setup instructions.

Connector linkhttps://edge.vinkius.com/vk_preview_CZ4dYrDXXbaGkI9clb3CEyJ6I3888o38vNyvZ6rR/mcp

Claude Desktop

Follow the steps below to connect in seconds.

  1. 1In Claude Desktop, open Settings → Connectors.
  2. 2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
  3. 3Click Add and start a new chat — Continued Fraction Expander capabilities are ready to use.
Configuration · claude_desktop_config.jsonCopy
{
  "mcpServers": {
    "continued-fraction-expander-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_CZ4dYrDXXbaGkI9clb3CEyJ6I3888o38vNyvZ6rR/mcp"
    }
  }
}
  • Claude
  • ChatGPT
  • Cursor
  • VS Code
  • Windsurf
  • Claude Code
  • JetBrains
  • Cline

Step-by-step instructions for each client are in the guide. How to connect

Guided setup for Claude? Set up Continued Fraction Expander in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Continued Fraction Expander owners hand off.

This MCP is built for professionals working in mathematics and scientific computing who need rapid, precise number expansions.

  • 01

    Mathematicians

    Hand off the calculation of partial quotients and convergents to your agent.

  • 02

    Data Scientists

    Use the capability to handle rational approximations during numerical analysis.

  • 03

    Engineering Students

    Verify expansion parameters and term counts for homework or research.

FAQ

Questions Continued Fraction Expander owners ask.

  • 01

    What can this MCP do with real numbers?

    It converts real or rational numbers into detailed continued fraction expansions, including partial quotients and convergents.

  • 02

    How do I know how many terms I need for a specific precision?

    You can use the find_optimal_term_count capability to determine the minimum number of terms required to meet your tolerance goal.

  • 03

    Can I verify my math parameters before expanding?

    Yes, the validate_expansion_parameters capability checks if your input parameters are mathematically sound.

  • 04

    Which AI clients can use this MCP?

    You can use this MCP with any compatible client like Claude, Cursor, Windsurf, or VS Code.

  • 05

    Does this MCP handle error calculations?

    Yes, it can calculate approximation errors based on the precision you define.

  • 06

    What is a continued fraction?

    A continued fraction is a way of representing a number as a sequence of integers, providing a way to approximate real numbers using rational fractions.

  • 07

    How do I control the precision of the expansion?

    You can control precision by setting the tolerance parameter in the expand_fraction capability. A smaller tolerance results in more terms and higher accuracy.

  • 08

    What happens if the expansion reaches the term limit?

    If the termLimit is reached before the tolerance is met, the capability stops and reports the termination reason as 'limit'.

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