Interface

• Full 32-bit performance
• Multitasking with 17 background thread curve-fit options
• Advanced online help system
• Drag and drop files for immediate fitting
• Fully customizable 2D graphs
• Smooth bitmap rendering of graphs
• XY meter in graphs displays cursor coordinates
• Global Reset options to undo all changes made to the data table*

Data Input

• Up to 65,536 points in data table*
• 16.4 million points can be filtered into table using averaging digital import filter

• File types: ASCII, Excel (all versions through Excel 2000)*, Lotus, Quattro Pro, SigmaPlot, SPSS, dBase, DIF, Binary

• Graphical XY column selection
• Weights or standard deviations optionally assigned
• Compare up to five data sets*
• Automatically process replicate data sets

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
• First and second order analytic derivatives for all built-in equations*
• Multiple curve-fit references on a single graph (up to 4 references)*
• Apply calculations to X, Y and Weight values
• Spreadsheet-like data editing with optional graphing of data as they are entered

Output and Export

• 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 Professional reports with MS Word or RTF export that includes graphs and numeric results; available for all major procedures*

• Graphs can be half or full page, landscape or portrait mode all in a single document*

Equation Discovery and Curve Fitting :

• 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

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

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

* New in TableCurve 2D® 5.0