TableCurve 2D

• 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.

 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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Table Curve 3D

• Find Optimum Equations to Describe Empirical Data
• Automation Takes The Trial And Error Out Of Curve Fitting
• Fit User-Defined Functions
• Graphically Review Surface Fit Results
• Flexible Output Options
• With All This Power, It’s Still Easy To Use!
• Eliminate Tedious Data Analysis Chores with TableCurve 3D
• TableCurve 3D Solves Complex Science and Engineering Problems Faster
• Need 2D data-fitting capabilities?
• Model exotic data sets

Find Optimum Equations to Describe Empirical Data
TableCurve 3D® gives scientists and engineers the power to find the ideal model for even the most complex data, including equations that might never have been considered. TableCurve 3D’s built-in equation set includes a wide array of linear and nonlinear models for any application: • Linear equations • Polynominal and rational functions • Logrithmic and exponential functions • Nonlinear peak functions • Nonlinear transition functions • Nonlinear exponential and power equations • User-defined functions (up to 15) TableCurve 3D’s state-of-the-art surface fitting includes capabilities not found in other software packages: • In addition to standard least squares minimization, TableCurve 3D’s non-linear engine is capable of three different robust estimations: least absolute deviation, Lorentzian minimization and Pearson VII Limit minimization • Option to change the maximum number of terms permitted when fitting linear equations (minimum 3; maximum 11) • On systems that support multi-threading, TableCurve 3D’s Background Thread Processing option allows fitting to occur without any form of user input • Option to set the default term significance anywhere from 1 to 15.

Automation Takes The Trial And Error Out Of Curve Fitting
Using its selective subset procedure, TableCurve 3D will fit 36,000 of the over 450 million built-in equations or just the ones you need — instantly. With TableCurve 3D, a single mouse click is all it takes to start the automated curve fitting process — there is no set up required! You can even enter your own specialty models to be fit and ranked along with the built-in equations. TableCurve saves you precious time because it takes the endless trial and error out of curve fitting.

Fit User-Defined Functions
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.

TableCurve 3D even offers the option of graphically adjusting equation parameters to assure convergence for the fit of user-defined models. Unlike most surface fitting programs, TableCurve 3D’s user-defined functions are compiled so they can be fitted at nearly the speed of the built-in equations. For maximum flexibility, TableCurve 3D gives you the option to save your functions as individual files, in libraries or both.

Visually Discover the Best Equation to Model your Data :

Graphically Review Surface Fit Results
Once your XYZ data have been fit, TableCurve 3D 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 3D residuals graph as well as parameter output are generated for each fitted equation. Add confidence or prediction intervals to the graph to detect outliers in your data. You can also automatically display a 2D contour plot on the top and bottom of the surface fit graph to get another view of your data. Data, statistical and numeric summaries are also available from within the Review Surface Fit window so you can further analyze fit results. Viewing a surface fit from all angles is imperative in determining whether or not a given fit is accurate. Using a simple interface, TableCurve 3D lets you view a graph from any angle. It will even animate the graph automatically in a specified XY and/or Z angle sequence. Just sit back and observe every nuance within the fit. TableCurve 3D gives you all of the tools you need to discover the model that best meets your requirements for the ideal fit.

Flexible Output Options
Output TableCurve 3D’s publication-quality graphs in black and white or color, portrait or landscape. You can also produce files containing data and equations in Lotus, Excel, ASCII, Quattro Pro and SigmaPlot formats. TableCurve 3D can speed up your programming by generating actual function code and test routines for all fitted equations in FORTRAN, C, Basic and Pascal.

With All This Power, it’s Still Easy to Use!
TableCurve 3D takes full advantage of the Windows graphical user interface to simplify every aspect of operation — from data import to output of results. Import data from many popular file formats including SigmaPlot, Excel, Lotus, SPSS and ASCII. Once your data are in the TableCurve editor, start the automatic fitting process with a single mouse click. Choose to fit all equations, select a group of equations or create a custom equation set. All equations are readily available from the Toolbar or TableCurve’s Process Menu. You can even set up TableCurve 3D to begin fitting the moment data are imported or modified with Background Thread Processing Fitting. Users consistently comment that — out of the box, without reading the instructions — TableCurve is highly intuitive, easy-to-use and remarkably simple to learn.

Eliminate Tedious Data Analysis Chores with TableCurve 3D
TableCurve 3D is the first and only program that combines a powerful surface fitter with the ability to find the ideal equation to describe three dimensional empirical data. TableCurve 3D uses a selective subset procedure to fit 36,000 of its 453,697,387 built-in equations from all disciplines to find the one that provides the ideal fit – instantly! What once could take days of tedious work now takes minutes, with a much more powerful result.

TableCurve 3D Solves Complex Science and Engineering Problems Faster
• Optimize product and process performance
• Quickly calibrate sensors • Understand complex chemical kinetics
• Reduce empirical data to a simple equation
• Stabilize systems with dynamic feedback
• Any general surface-fitting application TableCurve 3D’s fitting speed is impressive, but so are the extensive results it provides. Once the fit is complete, TableCurve presents you with a statistically ranked list of the best fit equations. You are given all of the information you need to choose the equation that best meets your requirements for the ideal fit. Once you have selected the best fit equation, output high-quality function and test programming code. You can also generate comprehensive reports as well as publication-quality graphs. And, TableCurve 3D easily transfers data and equations to and from all popular Windows applications, including Excel. No other fitting program offers this much versatility and power.

Need 2D data-fitting capabilities?
TableCurve 2D fits and ranks almost 3,665 built-in equations to your data in seconds. TableCurve 2D/’s comprehensive data, statistical and numeric summaries combined with its publication-quality 2D graphs give you the power to quickly and easily find the best model for your XY data.

Model exotic data sets
For those rare equations that cannot be adequately managed by a parametric model, TableCurve 3D offers advanced non-parametric procedures for gridded and scattered data. For gridded data, five state-of-the-art true algorithms are included, the main ones being the tensor product splines. For scattered data, eight different algorithms are available. TableCurve 3D also offers the Fill Sparse Grid option is generally used for grid-based data with incomplete elements, as occur with incomplete sampling, from the removal of outliers, and from the deliberately sparse design of experiments matrices. If you need to generate exact interpolated data on a uniform grid, possibly to constrain parametric fits in regions lacking data, the Interpolate Uniform Grid option offers an automatic solution.

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Peakfit

download brochure .pdf

• Why Should You Use Nonlinear Curve Fitting?
• PeakFit Offers Sophisticated Data Manipulation
• Highly Advanced Baseline Subtraction
• Full Graphical Placement of Peaks
• Publication-Quality Graphs and Data Output
• PeakFit Saves You Precious Research Time
• PeakFit Automatically Places Peaks in Three Ways

 Why Should You Use Nonlinear Curve Fitting?
Nonlinear curve fitting is by far the most accurate way to reduce noise and quantify peaks. Many instruments come with software that only approximates the fitting process by simply integrating the raw data numerically. When there are shouldered or hidden peaks, a lot of noise or a significant background signal, this can lead to the wrong results. (For example, a spectroscopy data set may appear to have a peak with a ‘raw’ amplitude of 4,000 units — but may have a shoulder peak that distorts the amplitude by 1,500 units! This would be a significant error.)

PeakFit helps you separate overlapping peaks by statistically fitting numerous peak functions to one data set, which can help you find even the most obscure patterns in your data. The background can be fit as a separate polynomial, exponential, logarithmic, hyperbolic or power model. This fitted baseline is then subtracted before peak characterization data (such as areas) is calculated, which gives much more accurate results. And any noise (like you get with electrophoretic gels or Raman spectra) that might bias raw data calculations is filtered simply by the nonlinear curve fitting process. Nonlinear curve fitting is essential for accurate peak analysis and accurate research.

PeakFit Offers Sophisticated Data Manipulation
With PeakFit’s visual FFT filter, you can inspect your data stream in the Fourier domain and zero higher frequency points — and see your results immediately in the time-domain. This smoothing technique allows for superb noise reduction while maintaining the integrity of the original data stream. PeakFit also includes an automated FFT method as well as Gaussian convolution, the Savitzky-Golay method and the Loess algorithm for smoothing. AI Experts throughout the smoothing options and other parts of the program automatically help you to set many adjustments. And, PeakFit even has a digital data enhancer, which helps to analyze your sparse data. Only PeakFit offers so many different methods of data manipulation.

 Highly Advanced Baseline Subtraction
PeakFit’s non-parametric baseline fitting routine easily removes the complex background of a DNA electrophoresis sample. PeakFit can also subtract eight other built-in baseline equations or it can subtract any baseline you’ve developed and stored in a file.

Full Graphical Placement of Peaks
If PeakFit’s auto-placement features fail on extremely complicated or noisy data, you can place and fit peaks graphically with only a few mouse clicks. Each placed function has “anchors” that adjust even the most highly complex functions, automatically changing that function’s specific numeric parameters. PeakFit’s graphical placement options handle even the most complex peaks as smoothly as Gaussians.

Publication-Quality Graphs and Data Output
Every publication-quality graph (see above) was created using PeakFit’s built-in graphic engine — which now includes print preview and extensive file and clipboard export options. The numerical output is customizable so that you see only the content you want.

PeakFit Saves You Precious Research Time For most data sets, PeakFit does all the work for you. What once took hours now takes minutes – with only a few clicks of the mouse! It’s so easy that novices can learn how to use PeakFit in no time. And if you have extremely complex or noisy data sets, the sophistication and depth of PeakFit’s data manipulation techniques is unequaled.

PeakFit Automatically Places Peaks in Three Ways
PeakFit uses three procedures to automatically place hidden peaks; while each is a strong solution, one method may work better with some data sets than the others. 1. The Residuals procedure initially places peaks by finding local maxima in a smoothed data stream. Hidden peaks are then optionally added where peaks in the residuals occur. 2. The Second Derivative procedure searches for local minima within a smoothed second derivative data stream. These local minima often reveal hidden peaks. 3. The Deconvolution procedure uses a Gaussian response function with a Fourier deconvolution/ filtering algorithm. A successfully deconvolved spec-trum will consist of “sharpened” peaks of equivalent area. The goal is to enhance the hidden peaks so that each represents a local maximum.

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