Table Curve 2D

Tablecurve 2D V 5.01 - the ultimative tool for equation discovery and curve fitting

Tablecurve 2D has become an industry standard in 2D nonlinear estimation and curve fitting. By going through a large number of generic linear and nonlinear models it automatically finds candidate equations which best fit your data. The results can also be arranged such that the models which achieve very good R² at the expense of few parameters are ranked highest. Thereby it is possible to generate new scientific insights by discovery of possibly meaningful mathematical models and their parameters.

Data Management

• Real-time smoothing with FFT, Loess, Savitzky-Golay, Gaussian Convolution, Eigendecomposition and Kaiser-Bessel time-domain smoothing* procedures
• Real-time Fourier domain editing with exact-N FFT; data tapering
• Eigendecomposition filtering to isolate components based on signal strength*
• Graphical and numerical sectioning; graphically enable or disable data points
• Spline and local regression digital filters for data reduction, enhancement, or uniform X spacing
• First and second order analytic derivatives for all built-in equations*
• Apply calculations to X, Y and Weight values Spreadsheet-like data editing with optional graphing of data as they are entered

• Publication quality printed graphs with full print preview
• Image formats include bitmaps, metafiles, enhanced metafiles and device independent bitmaps
• File formats include ASCII, Excel, Lotus, SigmaPlot and Harvard Graphics

• • 3,656 built-in equations
  • 3,205 mixed basis function linear
  • Even order and half order polynomials
  • 18 Chebyshev polynomials
  • 17 High-precision polynomials (fitted to 38 digits precision)
  • 10 Fourier-series polynomials
  • 57 standard, ln x, sqrt even, y-transformed, even order, and half order rationals
  • 17 Chebyshev rationals
  • 17 High-precision rationals (fitted to 38 digits precision)
  • 5 Fourier-series rationals
  • 36 Constrained (no singularity) non-linearly fit SVD rationals
  • 74 nonlinear peak equations
  • 29 nonlinear transition equations
  • 58 nonlinear kinetic equations
  • 13 nonlinear waveform and miscellaneous equations
  • Rapid searching, sorting and filtering of equations
  • User customizable equation sets
  • Full control of fit process, including goodness of fit criteria, matrix methods, minimization, and other options
  • AI Expert for automatic selection of peak, transition or kinetic models to be fitted
  • Three robust fitting methods available for all non-linear equations, user functions and external C/Fortran functions
  • Levenberg Marquardt Algorithmus
• Prediction Methods*
  • State-of-the-art Autoregressive procedures for forward/backward predictions/extrapolations.
  • 9 different procedures - 3 to predict ahead, 3 to predict earlier data, and 3 that predict in both directions.
  • In-situ noise removal using advanced SVD and Eigendecomposition methods
  • View complex roots, order selection criteria, singular values, residuals and numeric summaries
  • AR filter code generation is supported in all languages, plus export filter to disk User-Defined Functions (UDFs)
  • UDF editor with push button help for inserting functions
  • UDFs automatically compiled for speed
  • Up to 15 UDFs can be fit at one time, each with up to 10 adjustable parameters
  • Graphical UDF adjustment procedure for refining starting estimates
  • UDFs can be saved as libraries External 32-bit DLL User Defined Functions
  • Up to 100 external Fortran or C fitting functions with optional constraints
  • Fortran requires MS Fortran Powerstation v4+ C requires MS Visual C++ v4+ or Borland C++ v4.5+
  • Select all, none or specific equations
• Non-Parametric Fitting
  • Spline estimation, including least-squares B-splines and NURBS (non-uniform rational B-splines)
  • Smoothing spline estimation, including first through sixth derivatives
  • Local regression estimation Estimation and Interpolation
  • Eight spline procedures*, 3 interpolation and 5 smoothing* including NURBS and least-squares B-splines with fixed, optimized, or user-specified knots*
  • Local regression spline estimation; 1st and 2nd derivatives*
  • Savitzky-Golay spline estimation; accurate derivatives orders 1-8; filter coefficients*
  • Fourier Interpolation; derivatives orders 1-4;*
  • Directly specify and plot output for all Estimation procedures*
• Curve-Fit Analysis and Output
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  • Numerical:
  • • Evaluation option with automated table generation, includes function, derivatives, roots and cumulative area
    • Full numeric and statistical summary, including coefficients, standard error, confidence limits, ANOVA, goodness of fit, measured function and derivative minima and maxima, and poles reported for rational functions
    • Data summary with predicted values, residuals and confidence/prediction limits
    • Precision summary and term significance analysis
    
    
  • Graphical:
    
    • Curve-fit graph with zoom-out, customizable layout, labels, grids, scaling, points, font, titles and resolution
    • Confidence/prediction intervals (90, 95, 99, 99.9 and 99.99 percent)
    • Error bars for replicate-based data
    • Residuals graphs, separate or on Y2 axis of curve-fit graph, including bar graphs, histogram, and stabilized normal probability plot for assuring normality of residuals
    • Copy numerical data for any graph to clipboard as a spreadsheet block
    • Latent point processing enables disabling of outliers during equation inspection

• Tablecurve homepage .