happytails.ai

Finite difference table explorer

Build a full difference table and test whether equally spaced samples fit a proposed polynomial degree.

Enter 2 to 64 equally spaced values, with at most 20,000 input characters. Values may be exact decimals, scientific notation or integer fractions within 120 digits per part and exponents from −120 to 120. Choose degree 0 to 20 and nonzero spacing. A degree-d consistency check needs at least d + 2 points. Exact arithmetic does not silently tolerate measurement rounding. Conditional next values are shown only for consistent samples; finite samples never prove the generating rule. Enter equally spaced sample values in order. Use decimal points, or exact fractions such as 1/3. Results update as you type. Up to 20,000 characters.

Your result

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How to use Finite difference table explorer
  1. Paste the sample values in their original order.
  2. Set the starting x, equal spacing and proposed maximum polynomial degree.
  3. Inspect every difference and the consistency result, then download the complete table.

Useful next steps

How to use it

Build a full difference table and test whether equally spaced samples fit a proposed polynomial degree.

Limits and assumptions

Enter 2 to 64 equally spaced values, with at most 20,000 input characters. Values may be exact decimals, scientific notation or integer fractions within 120 digits per part and exponents from −120 to 120. Choose degree 0 to 20 and nonzero spacing. A degree-d consistency check needs at least d + 2 points. Exact arithmetic does not silently tolerate measurement rounding. Conditional next values are shown only for consistent samples; finite samples never prove the generating rule.

Keep the exact values

Download JSON for the calculation, CSV for the complete table and the method note. Processing stays on your device.