Tablecurve 2D V 5.01 - das leistungsfähigste Werkzeug zur zweidimensionalen Kurvenanpassung, das der Markt heute bietet

Tablecurve 2D ist der Marktführer im Bereich der spezialisierten Kurvenanpassung 2-dimensionaler Daten. Das Programm passt die Daten an eine große Zahl mathematischer Modelle an und findet so automatisch die Gleichungen heraus, die die Daten am besten beschreiben. Die Gleichungen, die ein hohes nichtlineares Bestimmtheitsmaß mit wenigen Parametern erreichen, können als geeignete mathematische Modelle innerhalb von Sekunden identifiziert werden. Das Tool leistet damit weit mehr als reine Kurvenanpassung, es unterstützt den Wissenschaftler bei der mathematischen Formulierung nichtlinearer Zusammenhänge. Darüber hinaus kann es natürlich alles, was man sich von einem Tool zur Kurvenanpassung wünscht, von der Spline-Berechnung über die Datenglättung bis zur Formatierung publikationsfertiger Grafiken.
Die schier umwerfende Leistungsfähigkeit dieses Tools läßt sich auch der folgenden teilweise in englisch belassenen Feature-Liste des Herstellers entnehmen:
Daten-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

• Gedruckte Graphiken in Publikationsqualität mit vollem Print-Preview
• Als Bilddatenformate stehen bitmaps, metafiles, enhanced metafiles und device independent bitmaps zur Verfügung
• Tabellen können in dern Formaten ASCII, Excel, Lotus, SigmaPlot and Harvard Graphics ausgegeben werden

• • 3,656 eingebaute Gleichungen
  • 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
  • Schnelles Suchen, Sortieren und Filtern der Gleichungslisten
  • Benutzerdefinierte equation sets
  • Volle Kontrolle über den Optimierungsprozess, einschliesslich Zielfunktionsdefinition, matrix methods, minimization, und weiteren Optionen
  • 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
• Extrapolationsmethoden*
  • 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
• Nicht-parametrische Fitting-Methoden
  • 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-Analyse und Ausgabe
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  • Numerisch:
  • • 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
    
    
  • Graphisch:
    
    • 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 (SYSTAT Software Inc.).