Welcome to ZunZun.com

Here you can curve and surface fit your 2D and 3D data online with a rich set of error
histograms, error plots, curve plots, surface plots, contour plots, VRML, and source code.

If you're looking for quality curve fitting and surface fitting, this is the site for you!

To begin, select an equation family from the 2D and 3D drop-down menus above or
try the "Function Finders" to help determine the best curve fit for your data.

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Powered by Ubuntu Linux		Written in Python		Accelerated by SkunkWeb		Using the Django Web Framework

Characterize Data

Characterize 1D (X) Data

Characterize 2D (XY) Data

Characterize 3D (XYZ) Data

2D Function Finder

2D Function Finder

3D Function Finder

3D Function Finder

About ZunZun.com

This site is dedicated to Jesus of Nazareth, and was written by James R. Phillips.

The site is a natural outgrowth of my previous Research and Development days in
Washington, D.C., my previous software engineering work in Tokyo, Japan and now in
Birmingham, AL, USA. The site middleware is hosted at linode.com, highly recommended!

The name of the site, ZunZun.com, is taken from my wife's Burmese nickname.

Hall Of Fame

November 2008	Ian Cowie Senior Botanist Dept. of Natural Resources, Environment, The Arts and Sport Palmerston NT, Australia Suggested nearly the entire 2D BioScience category and its associated equations, with reference from the literature.
November 2008	James McLaughlin Consulting Engineer Allentown, PA USA and Douglass S. Darrow Princeton Plasma Physics Laboratory Princeton, NJ USA Suggested the Double Langmuir Probe Characteristic 2D equation.
September 2008	Pedro Rodriguez Ramos Abengoa Seville, Spain Found an error in the calculations of the new forms of equations.
July 2008	José G. Ramírez, Ph.D. Electronic Products Division W.L. Gore & Associates, Inc. Suggested fitting to the AIC and BIC fit statistics.
July 2008	Jens Verwaest Found an error in the function finder comma conversion.
July 2008	José G. Ramírez, Ph.D. Electronic Products Division W.L. Gore & Associates, Inc. Suggested the Root Mean Squared Error (RMSE) fit statistic.
July 2008	Marc Kessels Found an error in in the SCILAB and MATLAB code generated by some of the 3D Polynomials.
May 2008	Dr. Rainer Froese Leibniz-Institut fur Meereswissenschaften Kiel, Germany www.fishbase.org http://filaman.uni-kiel.de/ifm-geomar/rfroese/ Suggested the von Bertalanffy growth curve equation.
May 2008	F. Michael Lewis Consultant, Mechanical Process & Design City of Los Angeles, Bureau of Engineering Environmental Engineering Div. Discovered that the new site code was over-ranging on very large numbers, which was quite serious, and generously assisted in correcting the problem.
May 2008	James McLaughlin Consulting Engineer Allentown, PA USA Discovered a function-finder related problem fitting nonlinear equations and generously assisted in correcting the problem.
May 2008	Professor Nagalla Sudhakar Department of Computer Science and Engineering Bapatla Engineering College Andhra Pradesh, India Discovered an error in the (new) offset forms of equations and generously assisted in correcting the problem. Thank you again for your help, Professor Sudhakar.
May 2008	Rick Becker Transonic Combustion Discovered an error in the VRML generation.
May 2008	James McLaughlin Consulting Engineer Allentown, PA USA Discovered an error in the newly integrated site code and generously assisted in correcting the problem.
April 2008	Andrea Raviglione Discovered extraneous semicolons in the SCILAB and MATLAB source code output for several equations.
March 2008	Dan Barton Discovered a coding error in NIST Eckerle4 - Thanks, Dan!
February 2008	Michal Szymanski Warsaw University Observatory Warszawa, POLAND Suggested 3D Full Polynomials.
April 2007	Don Gillies San Diego, Ca USA Discovered a bug where several offset forms of equations had typographical errors in the SCILAB and MATLAB output code.
April 2007	Dr. Manuel L. Quiroga Teixeiro Gridcore AB Sweden Discovered and generously assisted in testing the fix for a typo that invalidated the Standard Vapor Pressure results.
April 2007	Gary Cler Colorado, USA Suggested Gary Cler's Custom Equation.
December 2006	John Reilly Barron Associates, Inc. Discovered and generously assisted in testing the fix for MATLAB code element-wise multiplication and comment designator.
November 2006	Dave W. Editor and administrator Skeptic Friends Network Suggested adding Simple Exponential equation.
November 2006	James A. Bowery Suggested adding Offset Exponential equation.
November 2006	Steve Hutcheon Brisbane, Australia Suggested adding Standard Error of the Mean to statistics.
November 2006	Steve Hutcheon Brisbane, Australia Found errors in the site histogram calculations.
June 2006	Fraser W. Smith Postdoctoral Research Assistant Department of Psychology University of Glasgow Suggested Fraser Smith 3D Sigmoid equations.
June 2006	jinydu Sophomore, UCLA Suggested Sine A [radians] With Exponential Decay equation.
June 2006	Andrea Li, Ph. D. State University of New York College of Optometry Corrected the new MATLAB code output.
May 2006	Alexander Rosemann University of British Columbia Suggested MATLAB code output.
May 2006	Douglas C. Eberle Southwest Research Institute San Antonio, Texas USA Corrected the SCILAB source code output.
May 2006	Steve Hutcheon Brisbane, Australia Found typographical errors in the Lorentzian Peak equations.
May 2006	Steve Hutcheon Brisbane, Australia Found scaling bug in data graphs.
May 2006	Ben Shipway Found typographical errors in Sigmoid 3D source code.
May 2006	Darren W. Wade Lockheed Martin Found a typographical error in Taylor 3D series C# source code.
April 2006	Liping Zheng Suggested "Liping Zheng's core loss coefficients" equation.
April 2006	Hank Poellnitz Birmingham, Alabama USA Suggested user control to turn scientific notation on and off.
April 2006	Don Parker Gave major assistance pinning down and testing the fix for the function finders giving "no session data" errors.
February 2006	Steve Hutcheon Brisbane, Australia Suggested Sine D and Sine D with Offset equations.
January 2006	Karl Skinner Siemens Suggested conversion of 2D polynomial evaluations to the numerically more efficient Horner, or nested, form.
December 2005	David Zaks University of Wisconsin - Madison Madison, Wisconsin USA Discovered and generously assisted in testing the fix for occasional blank pages when fitting.
December 2005	Steve Hutcheon Brisbane, Australia Suggested adding fitting target result to individual fitting result pages (under Coefficients - James).
August 2005	Steve Hutcheon Brisbane, Australia Found that the function finders did not report errors correctly.
August 2005	Steve Hutcheon Brisbane, Australia Found an error when fitting a data set with a zero to the smallest peak absolute value of error.
June 2005	A. A. Yazdani Suggested Ramberg-Osgood equation.
June 2005	Fei Yu Complex Carbohydrate Research Center University of Georgia Athens, Georgia USA Suggested new 2D Trigonometric equations.
June 2005	David Zaks University of Wisconsin - Madison Madison, Wisconsin USA Suggested 3D Sigmoidal equation.
April 2005	Tore Opsahl London, England Suggested Power Law With Exponential Cutoff equation.
January 2005	Keith Coombe Australia Suggested SCILAB code generation.
December 2004	Chris United Kingdom Corrected calculation of lowest sum of squared relative error.
December 2004	Venkat Venkataramani San Francisco, USA Suggested options for absolute graph scaling.
December 2004	Zainal Kadir University of Manchester, UK Suggested addition of the Weibull CDF and PDF equations.
October 2004	Klaus Lamprecht University of Erlangen-Nuremberg Suggested addition of the Hocket-Sherby exponential equation.
September 2004	Gordon Ingram University of Queensland Brisbane, Australia Found an error in the site implentation of the NIST MGH17 equation.
September 2004	Steve Hutcheon Brisbane, Australia Found that the new code did not display two data graphs. Found an error in the site's statistics module.
Late July 2004	Jing-Fang Pan and Yiew-Wang Lee DSO National Laboratories Singapore Used the site for their paper Crystal density prediction for cyclic and cage compounds, Phys. Chem. Chem. Phys., 2004, 6 (3), 471 - 473 and gave the site a reference in the paper. Thank you.!
Early July 2004	Steve Hutcheon Brisbane, Australia Suggested and generously assisted in testing the option for fitting to the smallest peak absolute value of error.
May 2004	Gokhan Tolun Ph.D. candidate in Molecular Biology and Biochemistry Found a typo in the display of Lorentzian Peak equations, and gave several references to biochemical and enzyme kinetic equations.
July 2003	Naser Zamanan Kuwait Found a problem where the site did not show sufficient digits of precision for fitted coefficients.
July 2003	Carl Witthoft Suggested addition of trigonometric functions, and generously assisted in both testing and troubleshooting the new functions.
January 2003	Kazbek Karayev Suggested addition of model extrapolation control. Cool!
August-September 2002	Kieran Maher Australia Inspired C++, Java and Python source code for the fitted function with fitted coefficients already in place. Personal Note: Bloody brilliant idea, mate!
July 2002	Roxanne Byrne Associate Professor Mathematics University of Colorado at Denver and Michael Bonomo Student in Algebra for Business and Social Sciences University of Colorado at Denver discovered and generously assisted in fixing the 2D Logistics equation bug. Many thanks!

User Wish List

April 2006	Don Parker Add Discrete Fourier Transforms (basically FFTs).
March 04, 2006	Jeroen Demeyer University of Ghent Flanders, Belgium Allow logarithmic plots of data.
June 13, 2005	Art Blair University of Wisconsin - Madison Madison, Wisconsin USA Enable data file uploads.
May 18, 2005	David Zaks University of Wisconsin - Madison Madison, Wisconsin USA Allow user to force intercept - i.e., force a curve to pass through the origin.
January 20, 2005	Dan Chalom Allow user-defined equations.

Work In Progress

1) Redesign the site to run using Django only 2) Convert the site code to use parallel computations (partially completed) 3) Add Nyquist checks to the polyfunctionals 4) Add data translation, normalization and transformation 5) Add help system and tutorials

Feedback

Enter comments, questions, or general feedback here then press
"Send Feedback". Suggestions for equations are always welcome.
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If you'd prefer to email me directly, use zunzun@zunzun.com.

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Middleware Server Load

ZunZun.com's middleware is hosted on Linode 1080 Xen 4-core virtual server.

Load < 4 means the server cores are running with a light load.

Load = 4 means the server cores each average 100% CPU with a single user.

Load > 4 means the server cores each average 100% CPU with multiple users.

Virtual server load for the last 24 hours:


Virtual server load for the last 30 days:

2D BioScience

BioScience A (Scaled Power) 2D		y = a * xb
BioScience B (Scaled Log) 2D		y = a * log(x)
BioScience C (Negative Exponential) 2D		y = a * (1.0 - exp-bx)
BioScience D (Generalized Negative Exponential) 2D		y = a * (1.0 - exp-bx)c
BioScience E (Weibull) 2D		y = a * (1.0 - exp-b * (x - c)^d)
BioScience F (Generalized Hyperbolic 1) 2D		y = (a + x) / (b + x)
BioScience G (Generalized Hyperbolic 2) 2D		y = (a + bx) / (c + x)
BioScience H (Generalized Hyperbolic 3) 2D		y = (a + x) / (b + cx)
BioScience I (Generalized Hyperbolic 4) 2D		y = (a + bx) / (c + dx)
BioScience J (Other 1) 2D		y = a * (1.0 - (b * cx))
BioScience K (Other 2) 2D		y = a * (1.0 -(1.0 + (x/b)c)-1.0 * d)
Hyperbolic Logistic 2D		y = axb / (c + xb)
Michaelis-Menten 2D		y = ax / (b + x)
von Bertalanffy Growth 2D		L(t) = L∞ * (1.0 - e-K * (t-t0))
BioScience A (Scaled Power) With Offset 2D		y = a * xb + c
BioScience C (Negative Exponential) With Offset 2D		y = a * (1.0 - exp-bx) + c
BioScience D (Generalized Negative Exponential) With Offset 2D		y = a * (1.0 - exp-bx)c + d
BioScience E (Weibull) With Offset 2D		y = a * (1.0 - exp-b * (x - c)^d) + e
BioScience F (Generalized Hyperbolic 1) With Offset 2D		y = (a + x) / (b + x) + c
BioScience G (Generalized Hyperbolic 2) With Offset 2D		y = (a + bx) / (c + x) + d
BioScience H (Generalized Hyperbolic 3) With Offset 2D		y = (a + x) / (b + cx) + d
BioScience I (Generalized Hyperbolic 4) With Offset 2D		y = (a + bx) / (c + dx) + e
BioScience J (Other 1) With Offset 2D		y = a * (1.0 - (b * cx)) + d
BioScience K (Other 2) With Offset 2D		y = a * (1.0 -(1.0 + (x/b)c)-1.0 * d) + e
Hyperbolic Logistic With Offset 2D		y = axb / (c + xb) + d
Michaelis-Menten With Offset 2D		y = ax / (b + x) + c
BioScience A (Scaled Power) With Linear Decay 2D		y = (a * xb) / (c * x)
BioScience B (Scaled Log) With Linear Decay 2D		y = (a * log(x)) / (b * x)
BioScience C (Negative Exponential) With Linear Decay 2D		y = (a * (1.0 - exp-bx)) / (c * x)
BioScience D (Generalized Negative Exponential) With Linear Decay 2D		y = (a * (1.0 - exp-bx)c) / (d * x)
BioScience E (Weibull) With Linear Decay 2D		y = (a * (1.0 - exp-b * (x - c)^d)) / (e * x)
BioScience F (Generalized Hyperbolic 1) With Linear Decay 2D		y = ((a + x) / (b + x)) / (c * x)
BioScience G (Generalized Hyperbolic 2) With Linear Decay 2D		y = ((a + bx) / (c + x)) / (d * x)
BioScience H (Generalized Hyperbolic 3) With Linear Decay 2D		y = ((a + x) / (b + cx)) / (d * x)
BioScience I (Generalized Hyperbolic 4) With Linear Decay 2D		y = ((a + bx) / (c + dx)) / (e * x)
BioScience J (Other 1) With Linear Decay 2D		y = (a * (1.0 - (b * cx))) / (d * x)
BioScience K (Other 2) With Linear Decay 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) / (e * x)
Hyperbolic Logistic With Linear Decay 2D		y = (axb / (c + xb)) / (d * x)
Michaelis-Menten With Linear Decay 2D		y = (ax / (b + x)) / (c * x)
von Bertalanffy Growth With Linear Decay 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) / (d * x)
BioScience A (Scaled Power) With Linear Decay And Offset 2D		y = (a * xb) / (c * x) + d
BioScience B (Scaled Log) With Linear Decay And Offset 2D		y = (a * log(x)) / (b * x) + c
BioScience C (Negative Exponential) With Linear Decay And Offset 2D		y = (a * (1.0 - exp-bx)) / (c * x) + d
BioScience D (Generalized Negative Exponential) With Linear Decay And Offset 2D		y = (a * (1.0 - exp-bx)c) / (d * x) + e
BioScience E (Weibull) With Linear Decay And Offset 2D		y = (a * (1.0 - exp-b * (x - c)^d)) / (e * x) + f
BioScience F (Generalized Hyperbolic 1) With Linear Decay And Offset 2D		y = ((a + x) / (b + x)) / (c * x) + d
BioScience G (Generalized Hyperbolic 2) With Linear Decay And Offset 2D		y = ((a + bx) / (c + x)) / (d * x) + e
BioScience H (Generalized Hyperbolic 3) With Linear Decay And Offset 2D		y = ((a + x) / (b + cx)) / (d * x) + e
BioScience I (Generalized Hyperbolic 4) With Linear Decay And Offset 2D		y = ((a + bx) / (c + dx)) / (e * x) + f
BioScience J (Other 1) With Linear Decay And Offset 2D		y = (a * (1.0 - (b * cx))) / (d * x) + e
BioScience K (Other 2) With Linear Decay And Offset 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) / (e * x) + f
Hyperbolic Logistic With Linear Decay And Offset 2D		y = (axb / (c + xb)) / (d * x) + e
Michaelis-Menten With Linear Decay And Offset 2D		y = (ax / (b + x)) / (c * x) + d
von Bertalanffy Growth With Linear Decay And Offset 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) / (d * x) + e
BioScience A (Scaled Power) With Linear Growth 2D		y = (a * xb) * (c * x)
BioScience B (Scaled Log) With Linear Growth 2D		y = (a * log(x)) * (b * x)
BioScience C (Negative Exponential) With Linear Growth 2D		y = (a * (1.0 - exp-bx)) * (c * x)
BioScience D (Generalized Negative Exponential) With Linear Growth 2D		y = (a * (1.0 - exp-bx)c) * (d * x)
BioScience E (Weibull) With Linear Growth 2D		y = (a * (1.0 - exp-b * (x - c)^d)) * (e * x)
BioScience F (Generalized Hyperbolic 1) With Linear Growth 2D		y = ((a + x) / (b + x)) * (c * x)
BioScience G (Generalized Hyperbolic 2) With Linear Growth 2D		y = ((a + bx) / (c + x)) * (d * x)
BioScience H (Generalized Hyperbolic 3) With Linear Growth 2D		y = ((a + x) / (b + cx)) * (d * x)
BioScience I (Generalized Hyperbolic 4) With Linear Growth 2D		y = ((a + bx) / (c + dx)) * (e * x)
BioScience J (Other 1) With Linear Growth 2D		y = (a * (1.0 - (b * cx))) * (d * x)
BioScience K (Other 2) With Linear Growth 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) * (e * x)
Hyperbolic Logistic With Linear Growth 2D		y = (axb / (c + xb)) * (d * x)
Michaelis-Menten With Linear Growth 2D		y = (ax / (b + x)) * (c * x)
von Bertalanffy Growth With Linear Growth 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) * (d * x)
BioScience A (Scaled Power) With Linear Growth And Offset 2D		y = (a * xb) * (c * x) + d
BioScience B (Scaled Log) With Linear Growth And Offset 2D		y = (a * log(x)) * (b * x) + c
BioScience C (Negative Exponential) With Linear Growth And Offset 2D		y = (a * (1.0 - exp-bx)) * (c * x) + d
BioScience D (Generalized Negative Exponential) With Linear Growth And Offset 2D		y = (a * (1.0 - exp-bx)c) * (d * x) + e
BioScience E (Weibull) With Linear Growth And Offset 2D		y = (a * (1.0 - exp-b * (x - c)^d)) * (e * x) + f
BioScience F (Generalized Hyperbolic 1) With Linear Growth And Offset 2D		y = ((a + x) / (b + x)) * (c * x) + d
BioScience G (Generalized Hyperbolic 2) With Linear Growth And Offset 2D		y = ((a + bx) / (c + x)) * (d * x) + e
BioScience H (Generalized Hyperbolic 3) With Linear Growth And Offset 2D		y = ((a + x) / (b + cx)) * (d * x) + e
BioScience I (Generalized Hyperbolic 4) With Linear Growth And Offset 2D		y = ((a + bx) / (c + dx)) * (e * x) + f
BioScience J (Other 1) With Linear Growth And Offset 2D		y = (a * (1.0 - (b * cx))) * (d * x) + e
BioScience K (Other 2) With Linear Growth And Offset 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) * (e * x) + f
Hyperbolic Logistic With Linear Growth And Offset 2D		y = (axb / (c + xb)) * (d * x) + e
Michaelis-Menten With Linear Growth And Offset 2D		y = (ax / (b + x)) * (c * x) + d
von Bertalanffy Growth With Linear Growth And Offset 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) * (d * x) + e
BioScience A (Scaled Power) With Exponential Decay 2D		y = (a * xb) / (c * ex)
BioScience B (Scaled Log) With Exponential Decay 2D		y = (a * log(x)) / (b * ex)
BioScience C (Negative Exponential) With Exponential Decay 2D		y = (a * (1.0 - exp-bx)) / (c * ex)
BioScience D (Generalized Negative Exponential) With Exponential Decay 2D		y = (a * (1.0 - exp-bx)c) / (d * ex)
BioScience E (Weibull) With Exponential Decay 2D		y = (a * (1.0 - exp-b * (x - c)^d)) / (e * ex)
BioScience F (Generalized Hyperbolic 1) With Exponential Decay 2D		y = ((a + x) / (b + x)) / (c * ex)
BioScience G (Generalized Hyperbolic 2) With Exponential Decay 2D		y = ((a + bx) / (c + x)) / (d * ex)
BioScience H (Generalized Hyperbolic 3) With Exponential Decay 2D		y = ((a + x) / (b + cx)) / (d * ex)
BioScience I (Generalized Hyperbolic 4) With Exponential Decay 2D		y = ((a + bx) / (c + dx)) / (e * ex)
BioScience J (Other 1) With Exponential Decay 2D		y = (a * (1.0 - (b * cx))) / (d * ex)
BioScience K (Other 2) With Exponential Decay 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) / (e * ex)
Hyperbolic Logistic With Exponential Decay 2D		y = (axb / (c + xb)) / (d * ex)
Michaelis-Menten With Exponential Decay 2D		y = (ax / (b + x)) / (c * ex)
von Bertalanffy Growth With Exponential Decay 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) / (d * ex)
BioScience A (Scaled Power) With Exponential Decay And Offset 2D		y = (a * xb) / (c * ex) + d
BioScience B (Scaled Log) With Exponential Decay And Offset 2D		y = (a * log(x)) / (b * ex) + c
BioScience C (Negative Exponential) With Exponential Decay And Offset 2D		y = (a * (1.0 - exp-bx)) / (c * ex) + d
BioScience D (Generalized Negative Exponential) With Exponential Decay And Offset 2D		y = (a * (1.0 - exp-bx)c) / (d * ex) + e
BioScience E (Weibull) With Exponential Decay And Offset 2D		y = (a * (1.0 - exp-b * (x - c)^d)) / (e * ex) + f
BioScience F (Generalized Hyperbolic 1) With Exponential Decay And Offset 2D		y = ((a + x) / (b + x)) / (c * ex) + d
BioScience G (Generalized Hyperbolic 2) With Exponential Decay And Offset 2D		y = ((a + bx) / (c + x)) / (d * ex) + e
BioScience H (Generalized Hyperbolic 3) With Exponential Decay And Offset 2D		y = ((a + x) / (b + cx)) / (d * ex) + e
BioScience I (Generalized Hyperbolic 4) With Exponential Decay And Offset 2D		y = ((a + bx) / (c + dx)) / (e * ex) + f
BioScience J (Other 1) With Exponential Decay And Offset 2D		y = (a * (1.0 - (b * cx))) / (d * ex) + e
BioScience K (Other 2) With Exponential Decay And Offset 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) / (e * ex) + f
Hyperbolic Logistic With Exponential Decay And Offset 2D		y = (axb / (c + xb)) / (d * ex) + e
Michaelis-Menten With Exponential Decay And Offset 2D		y = (ax / (b + x)) / (c * ex) + d
von Bertalanffy Growth With Exponential Decay And Offset 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) / (d * ex) + e
BioScience A (Scaled Power) With Exponential Growth 2D		y = (a * xb) * (c * ex)
BioScience B (Scaled Log) With Exponential Growth 2D		y = (a * log(x)) * (b * ex)
BioScience C (Negative Exponential) With Exponential Growth 2D		y = (a * (1.0 - exp-bx)) * (c * ex)
BioScience D (Generalized Negative Exponential) With Exponential Growth 2D		y = (a * (1.0 - exp-bx)c) * (d * ex)
BioScience E (Weibull) With Exponential Growth 2D		y = (a * (1.0 - exp-b * (x - c)^d)) * (e * ex)
BioScience F (Generalized Hyperbolic 1) With Exponential Growth 2D		y = ((a + x) / (b + x)) * (c * ex)
BioScience G (Generalized Hyperbolic 2) With Exponential Growth 2D		y = ((a + bx) / (c + x)) * (d * ex)
BioScience H (Generalized Hyperbolic 3) With Exponential Growth 2D		y = ((a + x) / (b + cx)) * (d * ex)
BioScience I (Generalized Hyperbolic 4) With Exponential Growth 2D		y = ((a + bx) / (c + dx)) * (e * ex)
BioScience J (Other 1) With Exponential Growth 2D		y = (a * (1.0 - (b * cx))) * (d * ex)
BioScience K (Other 2) With Exponential Growth 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) * (e * ex)
Hyperbolic Logistic With Exponential Growth 2D		y = (axb / (c + xb)) * (d * ex)
Michaelis-Menten With Exponential Growth 2D		y = (ax / (b + x)) * (c * ex)
von Bertalanffy Growth With Exponential Growth 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) * (d * ex)
BioScience A (Scaled Power) With Exponential Growth And Offset 2D		y = (a * xb) * (c * ex) + d
BioScience B (Scaled Log) With Exponential Growth And Offset 2D		y = (a * log(x)) * (b * ex) + c
BioScience C (Negative Exponential) With Exponential Growth And Offset 2D		y = (a * (1.0 - exp-bx)) * (c * ex) + d
BioScience D (Generalized Negative Exponential) With Exponential Growth And Offset 2D		y = (a * (1.0 - exp-bx)c) * (d * ex) + e
BioScience E (Weibull) With Exponential Growth And Offset 2D		y = (a * (1.0 - exp-b * (x - c)^d)) * (e * ex) + f
BioScience F (Generalized Hyperbolic 1) With Exponential Growth And Offset 2D		y = ((a + x) / (b + x)) * (c * ex) + d
BioScience G (Generalized Hyperbolic 2) With Exponential Growth And Offset 2D		y = ((a + bx) / (c + x)) * (d * ex) + e
BioScience H (Generalized Hyperbolic 3) With Exponential Growth And Offset 2D		y = ((a + x) / (b + cx)) * (d * ex) + e
BioScience I (Generalized Hyperbolic 4) With Exponential Growth And Offset 2D		y = ((a + bx) / (c + dx)) * (e * ex) + f
BioScience J (Other 1) With Exponential Growth And Offset 2D		y = (a * (1.0 - (b * cx))) * (d * ex) + e
BioScience K (Other 2) With Exponential Growth And Offset 2D		y = (a * (1.0 -(1.0 + (x/b)c)-1.0 * d)) * (e * ex) + f
Hyperbolic Logistic With Exponential Growth And Offset 2D		y = (axb / (c + xb)) * (d * ex) + e
Michaelis-Menten With Exponential Growth And Offset 2D		y = (ax / (b + x)) * (c * ex) + d
von Bertalanffy Growth With Exponential Growth And Offset 2D		L(t) = (L∞ * (1.0 - e-K * (t-t0))) * (d * ex) + e

2D Engineering

Ramberg-Osgood 2D		y = (Stress / Young's Modulus) + (Stress / K)(1.0 / n)
Ramberg-Osgood With Offset 2D		y = (Stress / Young's Modulus) + (Stress / K)(1.0 / n) + d
Ramberg-Osgood With Linear Decay 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) / (d * x)
Ramberg-Osgood With Linear Decay And Offset 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) / (d * x) + e
Ramberg-Osgood With Linear Growth 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) * (d * x)
Ramberg-Osgood With Linear Growth And Offset 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) * (d * x) + e
Ramberg-Osgood With Exponential Decay 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) / (d * ex)
Ramberg-Osgood With Exponential Decay And Offset 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) / (d * ex) + e
Ramberg-Osgood With Exponential Growth 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) * (d * ex)
Ramberg-Osgood With Exponential Growth And Offset 2D		y = ((Stress / Young's Modulus) + (Stress / K)(1.0 / n)) * (d * ex) + e

2D Exponential

Exponential 2D		y = a * ebx
Hocket-Sherby 2D		y = b - (b-a) * e(-c * (x^d))
Inverse Exponential 2D		y = a * eb/x
Offset Exponential 2D		y = a * ebx + c
Simple Exponential 2D		y = a * ex
Standard Vapor Pressure 2D		y = e(a + (b/x) + c*ln(x))
Exponential With Offset 2D		y = a * ebx + c
Inverse Exponential With Offset 2D		y = a * eb/x + c
Offset Exponential With Offset 2D		y = a * ebx + c + d
Simple Exponential With Offset 2D		y = a * ex + b
Standard Vapor Pressure With Offset 2D		y = e(a + (b/x) + c*ln(x)) + d
Exponential With Linear Decay 2D		y = (a * ebx) / (c * x)
Hocket-Sherby With Linear Decay 2D		y = (b - (b-a) * e(-c * (x^d))) / (e * x)
Inverse Exponential With Linear Decay 2D		y = (a * eb/x) / (c * x)
Offset Exponential With Linear Decay 2D		y = (a * ebx + c) / (d * x)
Simple Exponential With Linear Decay 2D		y = (a * ex) / (b * x)
Standard Vapor Pressure With Linear Decay 2D		y = (e(a + (b/x) + c*ln(x))) / (d * x)
Exponential With Linear Decay And Offset 2D		y = (a * ebx) / (c * x) + d
Hocket-Sherby With Linear Decay And Offset 2D		y = (b - (b-a) * e(-c * (x^d))) / (e * x) + f
Inverse Exponential With Linear Decay And Offset 2D		y = (a * eb/x) / (c * x) + d
Offset Exponential With Linear Decay And Offset 2D		y = (a * ebx + c) / (d * x) + e
Simple Exponential With Linear Decay And Offset 2D		y = (a * ex) / (b * x) + c
Standard Vapor Pressure With Linear Decay And Offset 2D		y = (e(a + (b/x) + c*ln(x))) / (d * x) + e
Exponential With Linear Growth 2D		y = (a * ebx) * (c * x)
Hocket-Sherby With Linear Growth 2D		y = (b - (b-a) * e(-c * (x^d))) * (e * x)
Inverse Exponential With Linear Growth 2D		y = (a * eb/x) * (c * x)
Offset Exponential With Linear Growth 2D		y = (a * ebx + c) * (d * x)
Simple Exponential With Linear Growth 2D		y = (a * ex) * (b * x)
Standard Vapor Pressure With Linear Growth 2D		y = (e(a + (b/x) + c*ln(x))) * (d * x)
Exponential With Linear Growth And Offset 2D		y = (a * ebx) * (c * x) + d
Hocket-Sherby With Linear Growth And Offset 2D		y = (b - (b-a) * e(-c * (x^d))) * (e * x) + f
Inverse Exponential With Linear Growth And Offset 2D		y = (a * eb/x) * (c * x) + d
Offset Exponential With Linear Growth And Offset 2D		y = (a * ebx + c) * (d * x) + e
Simple Exponential With Linear Growth And Offset 2D		y = (a * ex) * (b * x) + c
Standard Vapor Pressure With Linear Growth And Offset 2D		y = (e(a + (b/x) + c*ln(x))) * (d * x) + e
Exponential With Exponential Decay 2D		y = (a * ebx) / (c * ex)
Hocket-Sherby With Exponential Decay 2D		y = (b - (b-a) * e(-c * (x^d))) / (e * ex)
Inverse Exponential With Exponential Decay 2D		y = (a * eb/x) / (c * ex)
Offset Exponential With Exponential Decay 2D		y = (a * ebx + c) / (d * ex)
Standard Vapor Pressure With Exponential Decay 2D		y = (e(a + (b/x) + c*ln(x))) / (d * ex)
Exponential With Exponential Decay And Offset 2D		y = (a * ebx) / (c * ex) + d
Hocket-Sherby With Exponential Decay And Offset 2D		y = (b - (b-a) * e(-c * (x^d))) / (e * ex) + f
Inverse Exponential With Exponential Decay And Offset 2D		y = (a * eb/x) / (c * ex) + d
Offset Exponential With Exponential Decay And Offset 2D		y = (a * ebx + c) / (d * ex) + e
Standard Vapor Pressure With Exponential Decay And Offset 2D		y = (e(a + (b/x) + c*ln(x))) / (d * ex) + e
Exponential With Exponential Growth 2D		y = (a * ebx) * (c * ex)
Hocket-Sherby With Exponential Growth 2D		y = (b - (b-a) * e(-c * (x^d))) * (e * ex)
Inverse Exponential With Exponential Growth 2D		y = (a * eb/x) * (c * ex)
Inverse Exponential With Exponential Growth 2D		y = (a * eb/x) * (c * ex)
Offset Exponential With Exponential Growth 2D		y = (a * ebx + c) * (d * ex)
Simple Exponential With Exponential Growth 2D		y = (a * ex) * (b * ex)
Standard Vapor Pressure With Exponential Growth 2D		y = (e(a + (b/x) + c*ln(x))) * (d * ex)
Exponential With Exponential Growth And Offset 2D		y = (a * ebx) * (c * ex) + d
Hocket-Sherby With Exponential Growth And Offset 2D		y = (b - (b-a) * e(-c * (x^d))) * (e * ex) + f
Offset Exponential With Exponential Growth And Offset 2D		y = (a * ebx + c) * (d * ex) + e
Simple Exponential With Exponential Growth And Offset 2D		y = (a * ex) * (b * ex) + c
Standard Vapor Pressure With Exponential Growth And Offset 2D		y = (e(a + (b/x) + c*ln(x))) * (d * ex) + e

2D Logarithmic

Base 10 Inverse Logarithmic 2D		y = 1.0 / (a + b*log10(x))
Base 10 Logarithmic 2D		y = a + b*log10(x)
Cubic Logarithmic 2D		y = a + b*ln(x) + c*ln(x)2 + d*ln(x)3
Inverse Cubic Logarithmic 2D		y = 1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)
Inverse Linear Logarithmic 2D		y = 1.0 / (a + b*ln(x))
Inverse Quadratic Logarithmic 2D		y = 1.0 / (a + b*ln(x) + c*ln(x)2)
Linear Logarithmic 2D		y = a + b*ln(x)
Quadratic Logarithmic 2D		y = a + b*ln(x) + c*ln(x)2
Base 10 Inverse Logarithmic With Linear Decay 2D		y = (1.0 / (a + b*log10(x))) / (c * x)
Base 10 Logarithmic With Linear Decay 2D		y = (a + b*log10(x)) / (c * x)
Cubic Logarithmic With Linear Decay 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) / (e * x)
Inverse Cubic Logarithmic With Linear Decay 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) / (e * x)
Inverse Linear Logarithmic With Linear Decay 2D		y = (1.0 / (a + b*ln(x))) / (c * x)
Inverse Quadratic Logarithmic With Linear Decay 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) / (d * x)
Linear Logarithmic With Linear Decay 2D		y = (a + b*ln(x)) / (c * x)
Quadratic Logarithmic With Linear Decay 2D		y = (a + b*ln(x) + c*ln(x)2) / (d * x)
Base 10 Inverse Logarithmic With Linear Decay And Offset 2D		y = (1.0 / (a + b*log10(x))) / (c * x) + d
Base 10 Logarithmic With Linear Decay And Offset 2D		y = (a + b*log10(x)) / (c * x) + d
Cubic Logarithmic With Linear Decay And Offset 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) / (e * x) + f
Inverse Cubic Logarithmic With Linear Decay And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) / (e * x) + f
Inverse Linear Logarithmic With Linear Decay And Offset 2D		y = (1.0 / (a + b*ln(x))) / (c * x) + d
Inverse Quadratic Logarithmic With Linear Decay And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) / (d * x) + e
Linear Logarithmic With Linear Decay And Offset 2D		y = (a + b*ln(x)) / (c * x) + d
Quadratic Logarithmic With Linear Decay And Offset 2D		y = (a + b*ln(x) + c*ln(x)2) / (d * x) + e
Base 10 Inverse Logarithmic With Linear Growth 2D		y = (1.0 / (a + b*log10(x))) * (c * x)
Base 10 Logarithmic With Linear Growth 2D		y = (a + b*log10(x)) * (c * x)
Cubic Logarithmic With Linear Growth 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) * (e * x)
Inverse Cubic Logarithmic With Linear Growth 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) * (e * x)
Inverse Linear Logarithmic With Linear Growth 2D		y = (1.0 / (a + b*ln(x))) * (c * x)
Inverse Quadratic Logarithmic With Linear Growth 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) * (d * x)
Linear Logarithmic With Linear Growth 2D		y = (a + b*ln(x)) * (c * x)
Quadratic Logarithmic With Linear Growth 2D		y = (a + b*ln(x) + c*ln(x)2) * (d * x)
Base 10 Inverse Logarithmic With Linear Growth And Offset 2D		y = (1.0 / (a + b*log10(x))) * (c * x) + d
Base 10 Logarithmic With Linear Growth And Offset 2D		y = (a + b*log10(x)) * (c * x) + d
Cubic Logarithmic With Linear Growth And Offset 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) * (e * x) + f
Inverse Cubic Logarithmic With Linear Growth And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) * (e * x) + f
Inverse Linear Logarithmic With Linear Growth And Offset 2D		y = (1.0 / (a + b*ln(x))) * (c * x) + d
Inverse Quadratic Logarithmic With Linear Growth And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) * (d * x) + e
Linear Logarithmic With Linear Growth And Offset 2D		y = (a + b*ln(x)) * (c * x) + d
Quadratic Logarithmic With Linear Growth And Offset 2D		y = (a + b*ln(x) + c*ln(x)2) * (d * x) + e
Base 10 Inverse Logarithmic With Exponential Decay 2D		y = (1.0 / (a + b*log10(x))) / (c * ex)
Base 10 Logarithmic With Exponential Decay 2D		y = (a + b*log10(x)) / (c * ex)
Cubic Logarithmic With Exponential Decay 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) / (e * ex)
Inverse Cubic Logarithmic With Exponential Decay 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) / (e * ex)
Inverse Linear Logarithmic With Exponential Decay 2D		y = (1.0 / (a + b*ln(x))) / (c * ex)
Inverse Quadratic Logarithmic With Exponential Decay 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) / (d * ex)
Linear Logarithmic With Exponential Decay 2D		y = (a + b*ln(x)) / (c * ex)
Quadratic Logarithmic With Exponential Decay 2D		y = (a + b*ln(x) + c*ln(x)2) / (d * ex)
Base 10 Inverse Logarithmic With Exponential Decay And Offset 2D		y = (1.0 / (a + b*log10(x))) / (c * ex) + d
Base 10 Logarithmic With Exponential Decay And Offset 2D		y = (a + b*log10(x)) / (c * ex) + d
Cubic Logarithmic With Exponential Decay And Offset 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) / (e * ex) + f
Inverse Cubic Logarithmic With Exponential Decay And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) / (e * ex) + f
Inverse Linear Logarithmic With Exponential Decay And Offset 2D		y = (1.0 / (a + b*ln(x))) / (c * ex) + d
Inverse Quadratic Logarithmic With Exponential Decay And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) / (d * ex) + e
Linear Logarithmic With Exponential Decay And Offset 2D		y = (a + b*ln(x)) / (c * ex) + d
Quadratic Logarithmic With Exponential Decay And Offset 2D		y = (a + b*ln(x) + c*ln(x)2) / (d * ex) + e
Base 10 Inverse Logarithmic With Exponential Growth 2D		y = (1.0 / (a + b*log10(x))) * (c * ex)
Base 10 Logarithmic With Exponential Growth 2D		y = (a + b*log10(x)) * (c * ex)
Cubic Logarithmic With Exponential Growth 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) * (e * ex)
Inverse Cubic Logarithmic With Exponential Growth 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) * (e * ex)
Inverse Linear Logarithmic With Exponential Growth 2D		y = (1.0 / (a + b*ln(x))) * (c * ex)
Inverse Quadratic Logarithmic With Exponential Growth 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) * (d * ex)
Linear Logarithmic With Exponential Growth 2D		y = (a + b*ln(x)) * (c * ex)
Quadratic Logarithmic With Exponential Growth 2D		y = (a + b*ln(x) + c*ln(x)2) * (d * ex)
Base 10 Inverse Logarithmic With Exponential Growth And Offset 2D		y = (1.0 / (a + b*log10(x))) * (c * ex) + d
Base 10 Logarithmic With Exponential Growth And Offset 2D		y = (a + b*log10(x)) * (c * ex) + d
Cubic Logarithmic With Exponential Growth And Offset 2D		y = (a + b*ln(x) + c*ln(x)2 + d*ln(x)3) * (e * ex) + f
Inverse Cubic Logarithmic With Exponential Growth And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2 + d*ln(x)3)) * (e * ex) + f
Inverse Linear Logarithmic With Exponential Growth And Offset 2D		y = (1.0 / (a + b*ln(x))) * (c * ex) + d
Inverse Quadratic Logarithmic With Exponential Growth And Offset 2D		y = (1.0 / (a + b*ln(x) + c*ln(x)2)) * (d * ex) + e
Linear Logarithmic With Exponential Growth And Offset 2D		y = (a + b*ln(x)) * (c * ex) + d
Quadratic Logarithmic With Exponential Growth And Offset 2D		y = (a + b*ln(x) + c*ln(x)2) * (d * ex) + e

2D Miscellaneous

Double Langmuir Probe Characteristic 2D		y = a(tanh(bx+c))
Miscellaneous 1 2D		y = 1.0 + a(1.0 - ebx)
Double Langmuir Probe Characteristic With Offset 2D		y = a(tanh(bx+c)) + d
Miscellaneous 1 With Offset 2D		y = 1.0 + a(1.0 - ebx) + c
Double Langmuir Probe Characteristic With Linear Decay 2D		y = (a(tanh(bx+c))) / (d * x)
Miscellaneous 1 With Linear Decay 2D		y = (1.0 + a(1.0 - ebx)) / (c * x)
Double Langmuir Probe Characteristic With Linear Decay And Offset 2D		y = (a(tanh(bx+c))) / (d * x) + e
Miscellaneous 1 With Linear Decay And Offset 2D		y = (1.0 + a(1.0 - ebx)) / (c * x) + d
Double Langmuir Probe Characteristic With Linear Growth 2D		y = (a(tanh(bx+c))) * (d * x)
Miscellaneous 1 With Linear Growth 2D		y = (1.0 + a(1.0 - ebx)) * (c * x)
Double Langmuir Probe Characteristic With Linear Growth And Offset 2D		y = (a(tanh(bx+c))) * (d * x) + e
Miscellaneous 1 With Linear Growth And Offset 2D		y = (1.0 + a(1.0 - ebx)) * (c * x) + d
Double Langmuir Probe Characteristic With Exponential Decay 2D		y = (a(tanh(bx+c))) / (d * ex)
Miscellaneous 1 With Exponential Decay 2D		y = (1.0 + a(1.0 - ebx)) / (c * ex)
Double Langmuir Probe Characteristic With Exponential Decay And Offset 2D		y = (a(tanh(bx+c))) / (d * ex) + e
Miscellaneous 1 With Exponential Decay And Offset 2D		y = (1.0 + a(1.0 - ebx)) / (c * ex) + d
Double Langmuir Probe Characteristic With Exponential Growth 2D		y = (a(tanh(bx+c))) * (d * ex)
Miscellaneous 1 With Exponential Growth 2D		y = (1.0 + a(1.0 - ebx)) * (c * ex)
Double Langmuir Probe Characteristic With Exponential Growth And Offset 2D		y = (a(tanh(bx+c))) * (d * ex) + e
Miscellaneous 1 With Exponential Growth And Offset 2D		y = (1.0 + a(1.0 - ebx)) * (c * ex) + d

2D NIST

NIST Bennett5 2D		y = a * (b+x)^(-1/c)
NIST BoxBOD 2D		y = a * (1.0-e-b*x)
NIST Chwirut 2D		y = e(-a*x) / (b + c*x)
NIST DanWood 2D		y = a*xb
NIST ENSO 2D