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Equation Finder

Tool to find an equation from its points, its coordinates x, y=f(x) according to some interpolation methods and equation finder algorithms

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Equation Finder -

Tag(s) : Functions

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# Equation Finder

## Equation Search

 Calculation Method Lagrange Interpolation Newton Interpolation Neville Interpolation

Tool to find an equation from its points, its coordinates x, y=f(x) according to some interpolation methods and equation finder algorithms

### How to find an equation from a set of points?

To derive the equation of a function from a table of values (or a curve), there are several mathematical methods.

Method 1: detect remarkable solutions, like remarkable identities, it is sometimes easy to find the equation by analyzing the values (by comparing two successive values or by identifying certain precise values).

Example: a function has for points (couples $(x,y)$) the coordinates: $(1,2) (2,4), (3,6), (4,8)$, the ordinates increase by 2 while the abscissas increase by 1, the solution is trivial: $f (x) = 2x$

Method 2: use a interpolation function, more complicated, this method requires the use of mathematical algorithms that can find polynomials passing through any points. The most well known interpolations are Lagrangian interpolation, Newtonian interpolation and Neville interpolation.

NB: for a given set of points there is an infinity of solutions because there are infinite functions passing through certain points. dCode tries to propose the most simplified solutions possible, based on affine function or polynomial of low degree (degree 2 or 3).

## Source code

dCode retains ownership of the online 'Equation Finder' tool source code. Except explicit open source licence (indicated CC / Creative Commons / free), any algorithm, applet or snippet (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt / encrypt, decipher / cipher, decode / encode, translate) written in any informatic language (PHP, Java, C#, Python, Javascript, Matlab, etc.) no data, script or API access will be for free, same for Equation Finder download for offline use on PC, tablet, iPhone or Android !

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