# TableCurve 2D

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• Quickly Find the Best Equations that Describe Your Data

• Automation Takes the Trial and Error Out of Curve Fitting

• Fit User Defined Equations

• Accurately Extrapolate Any Data Set

• Graphically Review Curve Fit Results

• Compare Models Using Meaningful Numeric Information

• Effectively Manage Complex Data Sets

• Precisely Model Exotic Data Sets

• Flexible Output Options

• Maximize Your Productivity with Automation

**Quickly Find the Best Equations that Describe Your Data**TableCurve 2D® gives engineers and researchers the power to find the ideal model for even the most complex data, by putting thousands of equations at their fingertips. TableCurve 2D's built-in library includes a wide array of linear and nonlinear models for any application including equations that may never have been considered. - from simple linear equations to high order Chebyshev polynomials. TableCurve 2D is the automatic choice for curve-fitting and data modeling for critical research. TableCurve 2D’s state-of-the-art data fitting includes capabilities not found in other software packages:

• A 38-digit precision math emulator for properly fitting high order polynomials and rationals.

• A robust fitting capability for nonlinear fitting that effectively copes with outliers and a wide dynamic Y data range.

• An AI Expert option that automatically selects the appropriate peak, transition or kinetics models for you.

**Automation Takes The Trial and Error Out of Curve Fitting**

Fit all of TableCurve 2D’s 3,665 built-in equations or just the ones you need — instantly! With TableCurve 2D, a single mouse click is all it takes to start the automated curve fitting process there is no set up required. TableCurve saves you precious time because it takes the endless trial and error out of curve fitting.

**Fit User Defined Equations**

Up to 15 user-defined equations can be entered and ranked along with the built-in equations. These specialized models can contain most mathematical constructs, including special functions, series convergence and conditional statements, differentiations, integrations, and parameter constraints. And, unlike most curve fitting programs, TableCurve 2D's user-defined functions are compiled so custom curve fitting can be performed quickly -- at nearly the speed as with the built-in equations. You can also add up to 100 external C or FORTRAN language functions to the TableCurve 2D equation set. These equations and constraints can be of unlimited complexity.

**Accurately Extrapolate Any Data Set**

Increase the accuracy of your predictions with state-of-the-art AR (Autoregressive) procedures that offer the means to effectively extrapolate any data set. Select from any one of the 9 different procedures for extrapolating your data - 3 to predict ahead, 3 to predict earlier data, and 3 that predict in both directions. Of these algorithms, six offer in-situ noise removal using advanced SVD and Eigendecomposition methods.

**All the Tools you Need to Visually Discover your Best Model :**

Graphically Review Curve Fit Results

Once your XY data have been fit, TableCurve automatically sorts and plots the fitted equations by the statistical criteria you select (r2, DOF adjusted r2, Fit Standard Error or the F Statistic). Graphically review the fitted results as you scroll through the equation list. A residuals graph as well as parameter output are generated for each fitted equation. Add confidence and prediction intervals to the graph to detect outliers in your data. Data, statistical and numeric summaries are also available from within the Review Curve Fit window so you can further analyze fit results. TableCurve gives you all the information you need to discover the model that best meets your requirements for the ideal fit.

Graphically Review Curve Fit Results

**Compare Models Using Meaningful Numeric Information**

Data, statistical and precision summaries are available so you can further analyze fit results. These summaries can be simultaneously displayed and are automatically updated when a different equation is selected for review. Evaluation option with automated table generation, includes function, derivatives, roots and cumulative area.

**Effectively Manage Complex Data Sets**

TableCurve 2D offers state-of-the-art smoothing and denoising techniques to remove the noise in your data. Select from a total of 6 smoothing/denoising algorithms. Of special importance is the Eigendecomposition Denoising, a non-parametric procedure where separation is based on signal strength. For Fourier Denoising, TableCurve 2D offers a data taper to minimize spectral leakage and the means to filter either by the magnitude of FFT channels or by frequency threshold. Inspect analytic derivatives for all built-in equations, as well as all of the smoothing procedures. Mask outliers and refit your data. With TableCurve 2D, its all so easy!

**Precisely Model Exotic Data Sets**

For those rare equations that cannot be adequately managed by a parametric model, TableCurve 2D offers three non-parametric estimation procedures. The Spline, Smoothing Spline and Local Regression options offer true state-of-the-art algorithms. For example, there are seven different spline algorithms, including two least-squares minimizations and the non-uniform.

**Flexible Output Options**

With TableCurve you can preview your graph and output publication-quality graphs in several different configurations. You can also produce files containing data and equations in Lotus, Excel, ASCII, Harvard Graphics and SigmaPlot formats. TableCurve 2D can speed up your programming by generating actual function code and test routines for all fitted equations in FORTRAN, C, Basic, Pascal and VBA for Excel.

**Maximize Your Productivity With Automation**

Save time with the new unattended batch processing capability to automatically process a large number of data sets - no programming required! With this integrated automation capability, you can analyze a large number of data sets while you are away from your PC! TableCurve 2D automatically generates the output for each data set. The output can be written to an MS Word (or generic RTF) file for all graphs and numeric summaries, and to MS Excel for numeric data. The automation capability is available for all of TableCurve 2D's major procedures.

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