What is a rational function?

A rational function is a function that can be expressed as the ratio of two polynomial functions.

How do I use this with Claude or Cursor?

You connect your client to the Vinkius hosted MCP once, and then you can call the mathematical capabilities directly in your chat or editor.

Can I specify the complexity of the model?

Yes, you can specify the degrees for both the numerator and the denominator when fitting the function.

How do I know if the fit is accurate?

You can use the analyze_fit_quality capability to get a statistical summary of the model's performance.

Does this MCP handle singularities?

Yes, it includes a specific capability to find the locations of poles and zeros in your functions.

What is the difference between exact and numerical modes?

Exact mode forces the function to pass through every data point, while numerical mode performs a least-squares fit to minimize residuals in noisy datasets.

How can I check if my model is accurate?

You can use the analyze_fit_quality capability to receive a detailed report including mean squared error and maximum residuals.

What happens if the system is underdetermined?

If the provided degrees and data points do not allow for a unique solution, the fit_rational_function capability will return an isRankDeficient flag as true.

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Connect Rational Interpolation Engine 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. Fit complex rational functions to your datasets with precision.

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.

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.

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 Rational Interpolation Engine.

01
Analyze fit quality
This capability provides a statistical summary of how well your fitted model represents the input data.
02
Find function singularities
Use this to locate all poles and zeros within a specific rational function.
03
Fit rational function
This capability fits a rational function to your data points based on the degrees you specify.
04
Get function value
This capability evaluates your fitted rational function at any specific coordinate you provide.

Real work

What teams actually run

Modeling Singularities

Use the capability when your data contains points that approach infinity or other singular behaviors.

Advanced Curve Fitting

Fit rational functions to datasets where a simple ratio of polynomials is required for accuracy.

Function Analysis

Quickly find the zeros and poles of a known rational function.

Data Validation

Check the statistical quality of a model to ensure it is a reliable fit for your data.

One connector, every AI

Rational Interpolation Engine 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.

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

You don't need a client to put Rational Interpolation Engine 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

852ms average. Fast in production.

Rational Interpolation Engine is checked daily against the live service.

Daily averagePeak 945ms

Oct 15Today

Fastest day: 677ms
Slowest day: 945ms
14-day trend: Slowing+40%

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 Rational Interpolation Engine, so you can see the experience inside your AI.

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

Rational Interpolation Engine Connector

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

Connector linkhttps://edge.vinkius.com/vk_preview_gAUvmOw51Y8MKPCjq7SsiPPBCfSrXK57BpsQyr8c/mcp

Claude Desktop

Follow the steps below to connect in seconds.

1In Claude Desktop, open Settings → Connectors.
2Click “Add custom connector” and paste the connector link above as the remote MCP server URL.
3Click Add and start a new chat — Rational Interpolation Engine capabilities are ready to use.

Configuration · claude_desktop_config.jsonCopy

{
  "mcpServers": {
    "rational-interpolation-engine-mcp": {
      "url": "https://edge.vinkius.com/vk_preview_gAUvmOw51Y8MKPCjq7SsiPPBCfSrXK57BpsQyr8c/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 Rational Interpolation Engine in Claude and other AIs

See all the AI clients this connector works with ↑

Who it's for

Built for the work Rational Interpolation Engine owners hand off.

This MCP is built for technical users who need to perform advanced mathematical modeling within an AI chat interface.

01
Data Scientists
They hand off raw data points to the AI to generate rational models.
02
Mathematical Researchers
They use the capability to analyze function properties like poles and zeros.
03
Engineers
They use the fitting capabilities to model physical phenomena that include singularities.

FAQ

Questions Rational Interpolation Engine owners ask.

01
What is a rational function?
A rational function is a function that can be expressed as the ratio of two polynomial functions.
02
How do I use this with Claude or Cursor?
You connect your client to the Vinkius hosted MCP once, and then you can call the mathematical capabilities directly in your chat or editor.
03
Can I specify the complexity of the model?
Yes, you can specify the degrees for both the numerator and the denominator when fitting the function.
04
How do I know if the fit is accurate?
You can use the analyze_fit_quality capability to get a statistical summary of the model's performance.
05
Does this MCP handle singularities?
Yes, it includes a specific capability to find the locations of poles and zeros in your functions.
06
What is the difference between exact and numerical modes?
Exact mode forces the function to pass through every data point, while numerical mode performs a least-squares fit to minimize residuals in noisy datasets.
07
How can I check if my model is accurate?
You can use the analyze_fit_quality capability to receive a detailed report including mean squared error and maximum residuals.
08
What happens if the system is underdetermined?
If the provided degrees and data points do not allow for a unique solution, the fit_rational_function capability will return an isRankDeficient flag as true.

Explore

More in Mathematics

Connect Rational Interpolation Engine to Claude, Cursor, ChatGPT & more

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

Each Connector runs inside its own sealed environment.

One switch stops every agent. Instantly.

Spending limits that pause instead of surprise.

We ship only the actions that matter.

01-04

Analyze fit quality

Find function singularities

Fit rational function

Get function value

What teams actually run

Modeling Singularities

Advanced Curve Fitting

Function Analysis

Data Validation

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

Rational Interpolation Engine Connector

Claude Desktop

Data Scientists

Mathematical Researchers

Engineers

What is a rational function?

How do I use this with Claude or Cursor?

Can I specify the complexity of the model?

How do I know if the fit is accurate?

Does this MCP handle singularities?

What is the difference between exact and numerical modes?

How can I check if my model is accurate?

What happens if the system is underdetermined?

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