Online Curve Fitting and Surface Fitting at ZunZun.com

ZunZun.com Online Curve Fitting
and Surface Fitting Web Site

The fitting source code for the site is at the Python Equations II Google Code Repository.

Superior quality PDF on practical curve fitting: Fitting Models to Experimental Data

2D Functions		3D Functions		Characterizers		Site Related


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January 2012	Rob Shaw Led to correction of error handling for rare numeric errors, and led to correcting the handling of user text containing comma separators. Generously assisted in testing of both problems.
November 2011	Anubhav Agarwal Suggested Hamilton Peak 2D Equation, and generously assisted in testing.
October 2011	Gary Johnson Helped determine a better way to determine initial coefficients for User Defined Functions, and generously assisted in testing.
September 2011	Derek Duncan Found a problem with display of Error Listings when a User Defined Function data set had a dependent data value of exactly zero, and generously assisted in testing.
July 2011	Bruno Torremans Belgium Found an esoteric problem when fitting complex nonlinear equations, and generously assisted in testing.
July 2011	Robert Bares Found a rare problem with function finders not running to completion, and generously assisted in testing.
June 2011	Eric Paulson Superior Essex Found that the new calculations for standard error in the parameter estimates can overflow, and very generously assisted in testing the correction.
May 2011	Martin Strandgard Research Fellow Department of Forest and Ecosystem Science University of Melbourne Richmond, Australia Found errors in the calculation of standard errors in the parameter estimates, and generously assisted in testing.
March 2011	Dr. Xiaogang Peng Suggested the Xiaogang Peng Immunoassay equation.
March 2011	David Hernández-Torres PhD Student Grenoble Electrical Enginnering Laboratory (G2ELab) Grenoble, France Corrected MATLAB source code output syntax for some equations.
March 2011	Guido Marchi Università degli Studi di Firenze Firenze, Italy Suggested updated web references for several plant biology equations.
February 2011	Mike Eaton Houston, Texas USA Suggested automatic generation of VB for Applications (VBA) output source code.
January 2011	Guenhael Found a recently introduced coding error in all 'With Offset' extended versions of equations.
December 2010	Aleksandar Dragojevic Lausanne, Switzerland Suggested the Logarithmic Scaled 2D equations.
December 2010	Ivan Saltz Fort Lauderdale, Florida, USA Found an error in the Marc Plante's Custom Quadratic source code output.
December 2010	Awunor Onuora Found a coding error in the 3D Peak Logistic equations.
November 2010	Graeme Card Suggested adding x^1.5 to the polyfunctionals.
November 2010	Marcus Don Worcester, UK Suggested user input data names for the function finders.
November 2010	Marcus Don Worcester, UK Found a recent intermittent problem in generating PDF files.
October 2010	Troy Bouman Michigan Technological University Discovered a coding error in the Steinhart-Hart set of equations.
October 2010	Matt Newcomb Madison, Wisconsin USA Discovered a coding error in the automated source code output for several equations.
September 2010	Gökhan Sever Discovered a rare error in the User Defined Functions and was very patient and generous with his time and data in testing the new code.
September 2010	Lee Angus PhD student of experimental nuclear physics University of the West of Scotland Suggested the "Legendre Polynomials" section of the web site along with the Gamma Ray Angular Distribution equations and was very patient and generous with his time and data in testing the new code.
September 2010	José G. Ramírez, Ph.D. Electronic Products Division W.L. Gore & Associates, Inc. Suggested the "Fit Data To Statistical Distributions" section of the web site, and was very patient and generous with his time and data in testing the new code.
August 2010	Joshua Eckhardt Found a typographical error in the HTML output for the exponential extended versions of equations.
August 2010	mart.ing Found a typographical error in the Python source code output for User Defined Functions 2D.
July 2010	Nate Kaemingk Senior Powertrain Systems Engineer Aftertreatment Systems Specialist PACCAR Technical Center Found several different typographical errors in the automatically generated source code output. Found incorrect MATLAB and SCILAB use of the power() function in the source code output of several equations.
June 2010	Petar Knezevich Found a problem generating SCILAB source code for the extended versions of equations.
June 2010	Steve Battison United Kingdom Suggested the Generalised Logistic 2D equation.
June 2010	Stephen Kemp Assistant Development Engineer Cooling the Tube Programme Engineering Directorate London Underground Ltd Found a problem in generating the extended version of some equations.
June 2010	Stephen Kemp Assistant Development Engineer Cooling the Tube Programme Engineering Directorate London Underground Ltd Gave what I consider to be rather impressive technical advice in regard to using the site source code on non-Unix operating systems.
June 2010	Gabrielle Found a typographical error in the 2D Membrane Transport equation's HTML.
April 2010	Grégoire Vandenschrick Group Geologist Carmeuse Coordination Center Found a transcription error in the 3D spline example.
April 2010	Peter Klausmeyer Found a rare error in the Function Finders and was very generous with his time and data in testing.
March 2010	Steve Battison United Kingdom Motivated me to finally add 2D User Defined Functions, and was exceptionally generous with his time and data in testing.
March 2010	Ivan Saltz Fort Lauderdale, Florida, USA Found an error in the 2D Rational source code output.
March 2010	Ravikumar Kopparapu Institute for Gravitational Physics and Geometry Pennsylvania State University Found a need for additional error detection.
March 2010	Wen-Wei Liao Systems Neuroscience Student National Tsing Hua University Hsinchu, Taiwan Found an error in the source code output for the 2D Gaussian Peak equations.
February 2010	Edwin de Koning Found a need for additional error detection.
February 2010	David Turner The Open Planning Project Found problems in the C++ and Java source code output for 3D Splines.
February 2010	Aaron Teitlebaum Plastic Technologies, Inc. Found a problem in the calculation of several 2D Inverse Logarithmic equations.
February 2010	Vincent Fedele Found a problem generating VRML for large data sets and generously assisted in troubleshooting.
January 2010	Mike Eaton Houston, Texas USA Found a design flaw where large data sets would cause the function finders to time out.
January 2010	Luis Delgado Barcelona, Spain Found and very generously helped test a coding error in the reuse of cached data for fitting. Mr. Delgado receives special honor as the first person to ever send in actual Python source code that I could use in troubleshooting a problem.
January 2010	Ruggero Bini Trento, Italia Found and generously helped test a coding error in the generation of cache data for fitting.
October 2009	Ning Zhou Post Doctoral Researcher Ohio State University College of Engineering, Materials Science MacQuigg Laboratory Suggested the weighted fitting option.
October 2009	Elizabeth Cates Invenca Suggested the VanDeemter Chromatography 2D equation.
September 2009	Steve Battison United Kingdom Suggested the Steve Battison Exponential 2D equation.
September 2009	Andrea Prunotto University of Zurich Zurich, Switzerland Suggested option to hold coefficient values constant during fitting.
September 2009	Jeroen Demeyer University of Ghent Flanders, Belgium Suggested option for logarithmic plots of data.
August 2009	Paul Mabus New Zealand Found an error in the Asymptotic Exponential B 2D equation.
August 2009	William Hutchins Senior Technical Lead Attitude Control Systems Propulsion Group, Orbital Sciences Corporation Suggested 2D and 3D spline curves and surfaces.
July 2009	Joe Olmi Research Consultant and Contractor Harrow, United Kingdom Suggested new optical equations in the 2D Engineering category.
July 2009	Andrea Prunotto University of Zurich Zurich, Switzerland Suggested two new 3D Sigmoidal equations.
July 2009	F. Michael Lewis Consultant, Mechanical Process & Design City of Los Angeles, Bureau of Engineering Environmental Engineering Div. Suggested the Witch Of Agnesi 2D Miscellaneous equations.
July 2009	Toby Barrus Myriad Genetics Suggested two new 2D BioScience Logistic equations.
July 2009	F. Michael Lewis Consultant, Mechanical Process & Design City of Los Angeles, Bureau of Engineering Environmental Engineering Div. Suggested a large number of new 2D equations.
July 2009	Marc Plante Suggested the Marc Plante's Custom Quadratic 2D equation.
May 2009	Ed Patterson Found a problem where the function finders were 'locking up' on large numbers, and generously forwarded a data set to help in reproducing the problem for troubleshooting.
April 2009	Steve Pawson, PhD University of Canterbury Christchurch, New Zealand Suggested the New Zealand Ecology Logistic 1 and 2 equations.
April 2009	James McLaughlin Consulting Engineer Allentown, PA USA Suggested the Steinhart-Hart and Inverted Steinhart-Hart 2D Engineering equations.
April 2009	Graham Dumpleton Dumpleton Software Consulting Pty Limited http://www.dscpl.com.au/ Sydney, Australia Showed me how to speed up the site page loads while using less memory. My sincere thanks for your help, Graham.
February 2009	Cécile Thonar, PhD Student Plant Nutrition Group ETH Zurich D-AGRL Institute of Plant Sciences Switzerland Found an error in some of the 3D Logarithmic Polynomials.
January 2009	Steve Hutcheon Brisbane, Australia Found errors in the extended forms of some equations.
January 2009	Steve Hutcheon Brisbane, Australia Found errors in the HTML generation for Optical 3D equations.
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!

Aphid Population Growth 2D		N(t) = a * exp(bt) * (1 + c * exp(bt))^-2 [web citation]
Beverton-Holt A 2D		y = r / (1 + ((r-1)/K) * x)
Beverton-Holt B 2D		y = rx / (1 + ((r-1)/K) * x)
BioScience A 2D		y = a * (1.0 - (b * c^x))
BioScience B 2D		y = a * (1.0 -(1.0 + (x/b)^c)^{-1.0 * d})
Cellular Conductance 2D		g = p3/(1+exp((v-p1)/p2)) + p4*exp((v-45)/p5) [web citation]
Derek Duncan Custom Equation 2D		y = a / (1 + exp(-1/b*(x-c)))^d
Dose-Response A 2D		y = b + (a-b) / (1 + 10^x-c)
Dose-Response B 2D		y = b + (a-b) / (1 + 10^c-x)
Dose-Response C 2D		y = b + (a-b) / (1 + 10^d*(x-c))
Dose-Response D 2D		y = b + (a-b) / (1 + 10^d*(c-x))
Dose-Response E 2D		y = b + (a-b) / (1 + (x/c)^d)
Generalized Negative Exponential 2D		y = a * (1.0 - exp(-bx))^c
Generalized Product Accumulation 2D		y = a(b-x) / (c + (b-x)) + d(b-x) + f
Generalized Substrate Depletion 2D		y = ax / (b + x) - cx - d
High-Low Affinity 2D		y = abx / (1+bx)
High-Low Affinity Double 2D		y = abx / (1+bx) + cdx / (1+dx)
High-Low Affinity Double Isotope Displacement ([Hot] subsumed) 2D		y = ab / (1+bx) + cd / (1+dx)
High-Low Affinity Isotope Displacement ([Hot] subsumed) 2D		y = ab / (1+bx)
Hyperbolic A 2D		y = (a + x) / (b + x)
Hyperbolic B 2D		y = (a + bx) / (c + x)
Hyperbolic C 2D		y = (a + x) / (b + cx)
Hyperbolic D 2D		y = (a + bx) / (c + dx)
Hyperbolic E 2D		y = ax / (b + x)
Hyperbolic F 2D		y = ax / (b + x) + cx
Hyperbolic G 2D		y = ax / (b + x) + cx / (d + x)
Hyperbolic H 2D		y = ax / (b + x) + cx / (d + x) + fx
Hyperbolic I 2D		y = ab / (b + x)
Hyperbolic J 2D		y = x / (a + bx)
Hyperbolic Logistic 2D		y = ax^b / (c + x^b)
Membrane Transport 2D		y = a(x-b) / (x² + cx + d)
Michaelis-Menten 2D		y = ax / (b + x)
Michaelis-Menten Double 2D		y = ax / (b + x) + cx / (d + x)
Michaelis-Menten Isotope Displacement ([Hot] subsumed) 2D		y = a / (b + x)
Michaelis-Menten Isotope Displacement Double ([Hot] subsumed) 2D		y = a / (b + x) + c / (d + x)
Michaelis-Menten Product Accumulation 2D		y = a(b-x) / (c + (b-x))
Negative Exponential 2D		y = a * (1.0 - exp(-bx))
New Zealand Ecology Logistic 1 2D		n = B0 + ((B1 - B0) / (1.0 + exp((B2 - D) * B3)))
New Zealand Ecology Logistic 2 2D		n = B0 + ((B1 - B0) / (1.0 + exp((B2 - D + (B4D²)) B3)))
Plant Disease Exponential Model 2D		Incidence = y0 * exp(r * time) [web citation]
Plant Disease Gompertz Model 2D		Incidence = exp(ln(y0) * exp(-r * time)) [web citation]
Plant Disease Logistic Model 2D		Incidence = 1 / (1 + (1 - y0) / (y0 * exp(-r * time))) [web citation]
Plant Disease Monomolecular Model 2D		Incidence = 1 - ((1 - y0) * exp(-r * time)) [web citation]
Plant Disease Weibull Model 2D		Incidence = 1 - exp(-1.0 * ((time - a) / b)^c) [web citation]
Preece And Baines Growth 2D		y = a - 2(a-b) / (exp(c(x-d)) + exp(f(x-d)))
Scaled Log 2D		y = a * log(x)
Scaled Log Transform 2D		y = a * log(bx + c)
Scaled Power 2D		y = a * x^b
Scaled Power Transform 2D		y = a * (cx + d)^b
Toby Barrus 3-Parameter Custom Logistic Equation 2D		y = d + (a - d) / (1 + (x / c))
Toby Barrus 4-Parameter Custom Logistic Equation 2D		y = d + (a - d) / (1 + (x / c)^b)
Toby Barrus 5-Parameter Custom Logistic Equation 2D		y = d + (a - d) / (1 + (x / c)^b )^f
Weibull 2D		y = a * (1.0 - exp(-b * (x - c)^d))
Xiaogang Peng Immunoassay 2D		y = K / (1.0 + exp(-1.0 * (a + blog(x) + cx)))
von Bertalanffy Growth 2D		L(t) = L_inf * (1.0 - exp(-K * (t-t_zero)))



Aphid Population Growth With Offset 2D		N(t) = a * exp(bt) * (1 + c * exp(bt))^-2 + Offset [web citation]
Beverton-Holt A With Offset 2D		y = r / (1 + ((r-1)/K) * x) + Offset
Beverton-Holt B With Offset 2D		y = rx / (1 + ((r-1)/K) * x) + Offset
BioScience A With Offset 2D		y = a * (1.0 - (b * c^x)) + Offset
BioScience B With Offset 2D		y = a * (1.0 -(1.0 + (x/b)^c)^{-1.0 * d}) + Offset
Cellular Conductance With Offset 2D		g = p3/(1+exp((v-p1)/p2)) + p4*exp((v-45)/p5) + Offset [web citation]
Derek Duncan Custom Equation With Offset 2D		y = a / (1 + exp(-1/b*(x-c)))^d + Offset
Generalized Negative Exponential With Offset 2D		y = a * (1.0 - exp(-bx))^c + Offset
High-Low Affinity Double Isotope Displacement ([Hot] subsumed) With Offset 2D		y = ab / (1+bx) + cd / (1+dx) + Offset
High-Low Affinity Double With Offset 2D		y = abx / (1+bx) + cdx / (1+dx) + Offset
High-Low Affinity Isotope Displacement ([Hot] subsumed) With Offset 2D		y = ab / (1+bx) + Offset
High-Low Affinity With Offset 2D		y = abx / (1+bx) + Offset
Hyperbolic A With Offset 2D		y = (a + x) / (b + x) + Offset
Hyperbolic B With Offset 2D		y = (a + bx) / (c + x) + Offset
Hyperbolic C With Offset 2D		y = (a + x) / (b + cx) + Offset
Hyperbolic D With Offset 2D		y = (a + bx) / (c + dx) + Offset
Hyperbolic E With Offset 2D		y = ax / (b + x) + Offset
Hyperbolic F With Offset 2D		y = ax / (b + x) + cx + Offset
Hyperbolic G With Offset 2D		y = ax / (b + x) + cx / (d + x) + Offset
Hyperbolic H With Offset 2D		y = ax / (b + x) + cx / (d + x) + fx + Offset
Hyperbolic I With Offset 2D		y = ab / (b + x) + Offset
Hyperbolic J With Offset 2D		y = x / (a + bx) + Offset
Hyperbolic Logistic With Offset 2D		y = ax^b / (c + x^b) + Offset
Membrane Transport With Offset 2D		y = a(x-b) / (x² + cx + d) + Offset
Michaelis-Menten Double With Offset 2D		y = ax / (b + x) + cx / (d + x) + Offset
Michaelis-Menten Isotope Displacement ([Hot] subsumed) With Offset 2D		y = a / (b + x) + Offset
Michaelis-Menten Isotope Displacement Double ([Hot] subsumed) With Offset 2D		y = a / (b + x) + c / (d + x) + Offset
Michaelis-Menten Product Accumulation With Offset 2D		y = a(b-x) / (c + (b-x)) + Offset
Michaelis-Menten With Offset 2D		y = ax / (b + x) + Offset
Negative Exponential With Offset 2D		y = a * (1.0 - exp(-bx)) + Offset
Plant Disease Exponential Model With Offset 2D		Incidence = y0 * exp(r * time) + Offset [web citation]
Plant Disease Gompertz Model With Offset 2D		Incidence = exp(ln(y0) * exp(-r * time)) + Offset [web citation]
Plant Disease Logistic Model With Offset 2D		Incidence = 1 / (1 + (1 - y0) / (y0 * exp(-r * time))) + Offset [web citation]
Plant Disease Monomolecular Model With Offset 2D		Incidence = 1 - ((1 - y0) * exp(-r * time)) + Offset [web citation]
Plant Disease Weibull Model With Offset 2D		Incidence = 1 - exp(-1.0 * ((time - a) / b)^c) + Offset [web citation]
Scaled Log Transform With Offset 2D		y = a * log(bx + c) + Offset
Scaled Log With Offset 2D		y = a * log(x) + Offset
Scaled Power Transform With Offset 2D		y = a * (cx + d)^b + Offset
Scaled Power With Offset 2D		y = a * x^b + Offset
Weibull With Offset 2D		y = a * (1.0 - exp(-b * (x - c)^d)) + Offset
Xiaogang Peng Immunoassay With Offset 2D		y = K / (1.0 + exp(-1.0 * (a + blog(x) + cx))) + Offset
von Bertalanffy Growth With Offset 2D		L(t) = L_inf * (1.0 - exp(-K * (t-t_zero))) + Offset

Dispersion Optical 2D		n²(x) = A1 + A2*x² + A3/x² + A4/x⁴
Dispersion Optical Square Root 2D		n = (A1 + A2*x² + A3/x² + A4/x⁴)^0.5
Extended Steinhart-Hart 2D		1/T = A + Bln(R) + C(ln(R))² + D(ln(R))³
Ramberg-Osgood 2D		y = (Stress / Youngs_Modulus) + (Stress/K)^(1.0/n)
Reciprocal Extended Steinhart-Hart 2D		T = 1.0 / (A + Bln(R) + C(ln(R))² + D(ln(R))³)
Reciprocal Steinhart-Hart 2D		T = 1.0 / (A + Bln(R) + C(ln(R))³)
Sellmeier Optical 2D		n²(x) = 1 + (B1 x²)/(x²-C1) + (B2 x²)/(x²-C2) + (B3 x²)/(x²-C3)
Sellmeier Optical Square Root 2D		n = (1 + (B1 x²)/(x²-C1) + (B2 x²)/(x²-C2) + (B3 x²)/(x²-C3))^0.5
Steinhart-Hart 2D		1/T = A + Bln(R) + C(ln(R))³
VanDeemter Chromatography 2D		y = a + b/x + cx



Ramberg-Osgood With Offset 2D		y = (Stress / Youngs_Modulus) + (Stress/K)^(1.0/n) + Offset
Reciprocal Extended Steinhart-Hart With Offset 2D		T = 1.0 / (A + Bln(R) + C(ln(R))² + D(ln(R))³) + Offset
Reciprocal Steinhart-Hart With Offset 2D		T = 1.0 / (A + Bln(R) + C(ln(R))³) + Offset
Sellmeier Optical Square Root With Offset 2D		n = (1 + (B1 x²)/(x²-C1) + (B2 x²)/(x²-C2) + (B3 x²)/(x²-C3))^0.5 + Offset
Sellmeier Optical With Offset 2D		n²(x) = 1 + (B1 x²)/(x²-C1) + (B2 x²)/(x²-C2) + (B3 x²)/(x²-C3) + Offset

Asymptotic Exponential A 2D		y = 1.0 - a^x
Asymptotic Exponential A Transform 2D		y = 1.0 - a^{bx + c}
Asymptotic Exponential B 2D		y = a * (1.0 - exp(bx))
Bruno Torremans Quadruple Exponential 2D		y = Offset - R1 * exp(-x/T1) + R2 * exp(-x/T2) + R3 * exp(-x/T3) + R4 * exp(-x/T4)
Double Exponential 2D		y = a * exp(bx) + c * exp(dx)
Exponential 2D		y = a * exp(bx)
Hocket-Sherby 2D		y = b - (b-a) * exp(-c * (x^d))
Hoerl 2D		y = x^a * exp(x)
Hoerl Transform 2D		y = (bx + c)^a * exp(bx + c)
Inverted Exponential 2D		y = a * exp(b/x)
Inverted Offset Exponential 2D		y = a * exp(b/(x+c))
Offset Exponential 2D		y = a * exp(bx + c)
Scaled Exponential 2D		y = a * exp(x)
Shifted Exponential 2D		y = a * exp(x + b)
Simple Exponential 2D		y = a^x
Standard Vapor Pressure 2D		y = exp(a + (b/x) + c*ln(x))
Steve Battison Exponential A 2D		y = exp((a + bx) / (c + dx))
Steve Battison Exponential B 2D		y = a * exp((b + cx) / (d + fx))
Stirling 2D		y = a * (exp(bx) - 1.0) / b
Triple Exponential 2D		y = a * exp(bx) + c * exp(dx) + f * exp(gx)



Asymptotic Exponential A Transform With Offset 2D		y = 1.0 - a^{bx + c} + Offset
Asymptotic Exponential A With Offset 2D		y = 1.0 - a^x + Offset
Asymptotic Exponential B With Offset 2D		y = a * (1.0 - exp(bx)) + Offset
Double Exponential With Offset 2D		y = a * exp(bx) + c * exp(dx) + Offset
Exponential With Offset 2D		y = a * exp(bx) + Offset
Hoerl Transform With Offset 2D		y = (bx + c)^a * exp(bx + c) + Offset
Hoerl With Offset 2D		y = x^a * exp(x) + Offset
Inverted Exponential With Offset 2D		y = a * exp(b/x) + Offset
Inverted Offset Exponential With Offset 2D		y = a * exp(b/(x+c)) + Offset
Offset Exponential With Offset 2D		y = a * exp(bx + c) + Offset
Scaled Exponential With Offset 2D		y = a * exp(x) + Offset
Shifted Exponential With Offset 2D		y = a * exp(x + b) + Offset
Simple Exponential With Offset 2D		y = a^x + Offset
Standard Vapor Pressure With Offset 2D		y = exp(a + (b/x) + c*ln(x)) + Offset
Steve Battison Exponential A With Offset 2D		y = exp((a + bx) / (c + dx)) + Offset
Steve Battison Exponential B With Offset 2D		y = a * exp((b + cx) / (d + fx)) + Offset
Stirling With Offset 2D		y = a * (exp(bx) - 1.0) / b + Offset
Triple Exponential With Offset 2D		y = a * exp(bx) + c * exp(dx) + f * exp(gx) + Offset

Gamma Ray Angular Distribution (degrees) A 2D		y = A0 + A2 * P₂(cos(theta))
Gamma Ray Angular Distribution (degrees) B 2D		y = A0 + A2 * P₂(cos(theta)) + A4 * P₄(cos(theta))
Gamma Ray Angular Distribution (radians) A 2D		y = A0 + A2 * P₂(cos(theta))
Gamma Ray Angular Distribution (radians) B 2D		y = A0 + A2 * P₂(cos(theta)) + A4 * P₄(cos(theta))
Legendre Polynomial A - Second Degree 2D		y = a + bx + cP₂ [web citation]
Legendre Polynomial B - Third Degree 2D		y = a + bx + cP₂ + dP₃ [web citation]
Legendre Polynomial C - Fourth Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ [web citation]
Legendre Polynomial D - Fifth Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ + gP₅ [web citation]
Legendre Polynomial E - Sixth Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ + gP₅ + hP₆ [web citation]
Legendre Polynomial F - Seventh Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ + gP₅ + hP₆ + iP₇ [web citation]
Legendre Polynomial G - Eighth Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ + gP₅ + hP₆ + iP₇ + jP₈ [web citation]
Legendre Polynomial H - Ninth Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ + gP₅ + hP₆ + iP₇ + jP₈ + kP₉ [web citation]
Legendre Polynomial I - Tenth Degree 2D		y = a + bx + cP₂ + dP₃ + fP₄ + gP₅ + hP₆ + iP₇ + jP₈ + kP₉ + mP₁₀ [web citation]

Base 10 Logarithmic 2D		y = a + b*log₁₀(x)
Bradley 2D		y = a * ln(-b * ln(x))
Bradley Transform 2D		y = a * ln(-b * ln(cx + d))
Crystal Resonator Ageing MIL-PRF-55310E 2D		y = A(ln(Bt + 1)) + f0
Cubic Logarithmic 2D		y = a + bln(x) + cln(x)² + d*ln(x)³
Cubic Logarithmic Scaled 2D		y = a + bln(fx) + cln(fx)² + dln(fx)³
Cubic Logarithmic Transform 2D		y = a + bln(fx+g) + cln(fx+g)² + dln(fx+g)³
Linear Logarithmic 2D		y = a + b*ln(x)
Linear Logarithmic Scaled 2D		y = a + b*ln(cx)
Linear Logarithmic Transform 2D		y = a + b*ln(cx+d)
Quadratic Logarithmic 2D		y = a + bln(x) + cln(x)²
Quadratic Logarithmic Scaled 2D		y = a + bln(dx) + cln(dx)²
Quadratic Logarithmic Transform 2D		y = a + bln(dx+f) + cln(dx+f)²
Quartic Logarithmic 2D		y = a + bln(x) + cln(x)² + dln(x)³ + fln(x)⁴
Quartic Logarithmic Scaled 2D		y = a + bln(hx) + cln(hx)² + dln(hx)³ + fln(hx)⁴
Quartic Logarithmic Transform 2D		y = a + bln(gx+h) + cln(gx+h)² + dln(gx+h)³ + fln(gx+h)⁴
Quintic Logarithmic 2D		y = a + bln(x) + cln(x)² + dln(x)³ + fln(x)⁴ + g*ln(x)⁵
Quintic Logarithmic Scaled 2D		y = a + bln(hx) + cln(hx)² + dln(hx)³ + fln(hx)⁴ + gln(hx)⁴
Quintic Logarithmic Transform 2D		y = a + bln(hx+i) + cln(hx+i)² + dln(hx+i)³ + fln(hx+i)⁴ + gln(hx+i)⁵



Bradley Transform With Offset 2D		y = a * ln(-b * ln(cx + d)) + Offset
Bradley With Offset 2D		y = a * ln(-b * ln(x)) + Offset

Arrhenius Rate Constant Law 2D		y = a * exp(-b/x)
Arrhenius Rate Constant Law Stretched 2D		y = a * exp(-pow(b/x, c))
Bleasdale-Nelder 2D		y = (a + bx)^-1/c
Bleasdale-Nelder Power 2D		y = (a + bx^c)^-1/d
Catenary 2D		y = a * cosh(x / a) [web citation]
Catenary Transform 2D		y = a * cosh((bx + c) / a) [web citation]
Combined Power And Exponential 2D		y = ax^b * exp(cx)
David Rodbard NIH 2D		y = d + (a - d) / (1.0 + (x/c)^b) [web citation]
Double Langmuir Probe Characteristic 2D		y = a * tanh(bx+c)
Double Rectangular Hyperbola A 2D		y = ax/(b+x) + cx/(d+x)
Double Rectangular Hyperbola B 2D		y = ax/(b+x) + cx/(d+x) + fx
Gunary 2D		y = x / (a + bx + cx^0.5)
Hyperbola A Modified 2D		y = ax/(1+bx)
Hyperbola B Modified 2D		y = x/(a+bx)
Hyperbolic Decay 2D		y = ab/(b+x)
Lame's Cubic 2D		y = (a³ - x³)^1/3 [web citation]
Lame's Cubic Transform 2D		y = (a³ - (bx + c)³)^1/3 [web citation]
Miscellaneous 1 2D		y = 1.0 + a(1.0 - exp(bx))
Nelder 2D		y = (a + x) / (b + c(a + x) + d(a + x)²
Pareto A 2D		y = 1 - x^-a
Pareto B 2D		y = a(1 - x^-b)
Pareto C 2D		y = 1.0 - (1.0 / (1 + ax)^b
Pareto D 2D		y = 1.0 - (1.0 / x^a)
Polytrope 2D		y = a / x^b [web citation]
Polytrope Transform 2D		y = a / (cx + d)^b [web citation]
Pursuit Curve 2D		y = ax² - log(x)
Pursuit Curve Transform 2D		y = a(bx + c)² - log(bx + c)
Rectangular Hyperbola A 2D		y = ax/(b+x)
Rectangular Hyperbola B 2D		y = ax/(b+x) + cx
Serpentine 2D		y = ax / (1.0 + bx²)
Shifted Reciprocal 2D		y = 1.0 / (a - x)
Simple Equation 01 2D		y = a
Simple Equation 02 2D		y = a/pow(x,2.0)
Simple Equation 03 2D		y = a*pow(ln(x),b)
Simple Equation 04 2D		y = a*pow(x,3.0)
Simple Equation 05 2D		y = a*pow(x,4.0)
Simple Equation 06 2D		y = x/(a+b*pow(x,2.0))
Simple Equation 07 2D		y = a * pow(b,x) * pow(x,c)
Simple Equation 08 2D		y = apow(b,1.0/x)pow(x,c)
Simple Equation 09 2D		y = a*exp(pow(x-b,2.0)/c)
Simple Equation 10 2D		y = a*exp(pow(ln(x)-b,2.0)/c)
Simple Equation 11 2D		y = apow(x,b)pow(1.0-x,c)
Simple Equation 13 2D		y = apow(x/b,c)exp(x/b)
Simple Equation 14 2D		y = apow(x,b+cx)
Simple Equation 15 2D		y = a*pow(x,b+c/x)
Simple Equation 16 2D		y = apow(x,b+cln(x))
Simple Equation 17 2D		y = apow(x,bx+c*pow(x,2.0))
Simple Equation 18 2D		y = aexp(bx+c*pow(x,0.5))
Simple Equation 19 2D		y = aexp(b/x+cx)
Simple Equation 20 2D		y = (a+x)/(b+c*x)
Simple Equation 21 2D		y = (a+x)/(b+c*pow(x,2.0))
Simple Equation 22 2D		y = a(exp(bx)-exp(c*x))
Simple Equation 23 2D		y = aexp(bexp(c*x))
Simple Equation 24 2D		y = a/(1.0 + b * exp(c*x))
Simple Equation 25 2D		y = a/(b+pow(x,c))
Simple Equation 26 2D		y = a/pow(1.0 + b * pow(x,c),2.0)
Simple Equation 27 2D		y = pow(a+b*x,c)
Simple Equation 28 2D		y = exp(a+b/x+c*ln(x))
Simple Equation 29 2D		y = aexp(bpow(x,c))
Simple Equation 30 2D		y = apow(x,bpow(x,c))
Simple Equation 31 2D		y = a*ln(x+b)
Simple Equation 32 2D		y = a/x+b*pow(x,c)
Simple Equation 33 2D		y = a/x+b*exp(c/x)
Simple Equation 34 2D		y = a/x+bexp(cx)
Simple Equation 35 2D		y = aexp(bx)/x
Simple Equation 36 2D		y = a*exp(b/x)/x
Simple Equation 37 2D		y = apow(x,b)ln(x)
Simple Equation 38 2D		y = a*pow(x,b)/ln(x)
Simple Equation 39 2D		y = apow(x,b)ln(x+c)
Simple Equation 40 2D		y = a*pow(ln(x+b),c)
Simple Equation 41 2D		y = apow(x,b/x)+cx
Simple Equation 42 2D		y = apow(x,b/x)+cln(x)
Simple Reciprocal 2D		y = a / x
Square Modified 2D		y = x² - ax
Square Modified Transform 2D		y = (bx + c)² - a(bx + c)
Transition State Rate Constant Law 2D		y = ax^b * exp(-c/x)
Witch Of Maria Agnesi A 2D		y = 8a³ / (x² + 4a²)
Witch Of Maria Agnesi B 2D		y = a³ / (x² + a²)
Witch Of Maria Agnesi C 2D		y = a³ / ((x * b + c)² + a²)



Arrhenius Rate Constant Law Stretched With Offset 2D		y = a * exp(-pow(b/x, c)) + Offset
Arrhenius Rate Constant Law With Offset 2D		y = a * exp(-b/x) + Offset
Bleasdale-Nelder Power With Offset 2D		y = (a + bx^c)^-1/d + Offset
Bleasdale-Nelder With Offset 2D		y = (a + bx)^-1/c + Offset
Catenary Transform With Offset 2D		y = a * cosh((bx + c) / a) + Offset [web citation]
Catenary With Offset 2D		y = a * cosh(x / a) + Offset [web citation]
Combined Power And Exponential With Offset 2D		y = ax^b * exp(cx) + Offset
Double Langmuir Probe Characteristic With Offset 2D		y = a * tanh(bx+c) + Offset
Double Rectangular Hyperbola A With Offset 2D		y = ax/(b+x) + cx/(d+x) + Offset
Double Rectangular Hyperbola B With Offset 2D		y = ax/(b+x) + cx/(d+x) + fx + Offset
Gunary With Offset 2D		y = x / (a + bx + cx^0.5) + Offset
Hyperbola A Modified With Offset 2D		y = ax/(1+bx) + Offset
Hyperbola B Modified With Offset 2D		y = x/(a+bx) + Offset
Hyperbolic Decay With Offset 2D		y = ab/(b+x) + Offset
Lame's Cubic Transform With Offset 2D		y = (a³ - (bx + c)³)^1/3 + Offset [web citation]
Lame's Cubic With Offset 2D		y = (a³ - x³)^1/3 + Offset [web citation]
Miscellaneous 1 With Offset 2D		y = 1.0 + a(1.0 - exp(bx)) + Offset
Nelder With Offset 2D		y = (a + x) / (b + c(a + x) + d(a + x)² + Offset
Pareto A With Offset 2D		y = 1 - x^-a + Offset
Pareto B With Offset 2D		y = a(1 - x^-b) + Offset
Pareto C With Offset 2D		y = 1.0 - (1.0 / (1 + ax)^b + Offset
Pareto D With Offset 2D		y = 1.0 - (1.0 / x^a) + Offset
Polytrope Transform With Offset 2D		y = a / (cx + d)^b + Offset [web citation]
Polytrope With Offset 2D		y = a / x^b + Offset [web citation]
Pursuit Curve Transform With Offset 2D		y = a(bx + c)² - log(bx + c) + Offset
Pursuit Curve With Offset 2D		y = ax² - log(x) + Offset
Rectangular Hyperbola A With Offset 2D		y = ax/(b+x) + Offset
Rectangular Hyperbola B With Offset 2D		y = ax/(b+x) + cx + Offset
Serpentine With Offset 2D		y = ax / (1.0 + bx²) + Offset
Shifted Reciprocal With Offset 2D		y = 1.0 / (a - x) + Offset
Simple Equation 02 With Offset 2D		y = a/pow(x,2.0) + Offset
Simple Equation 03 With Offset 2D		y = a*pow(ln(x),b) + Offset
Simple Equation 04 With Offset 2D		y = a*pow(x,3.0) + Offset
Simple Equation 05 With Offset 2D		y = a*pow(x,4.0) + Offset
Simple Equation 06 With Offset 2D		y = x/(a+b*pow(x,2.0)) + Offset
Simple Equation 07 With Offset 2D		y = a * pow(b,x) * pow(x,c) + Offset
Simple Equation 08 With Offset 2D		y = apow(b,1.0/x)pow(x,c) + Offset
Simple Equation 09 With Offset 2D		y = a*exp(pow(x-b,2.0)/c) + Offset
Simple Equation 10 With Offset 2D		y = a*exp(pow(ln(x)-b,2.0)/c) + Offset
Simple Equation 11 With Offset 2D		y = apow(x,b)pow(1.0-x,c) + Offset
Simple Equation 13 With Offset 2D		y = apow(x/b,c)exp(x/b) + Offset
Simple Equation 14 With Offset 2D		y = apow(x,b+cx) + Offset
Simple Equation 15 With Offset 2D		y = a*pow(x,b+c/x) + Offset
Simple Equation 16 With Offset 2D		y = apow(x,b+cln(x)) + Offset
Simple Equation 17 With Offset 2D		y = apow(x,bx+c*pow(x,2.0)) + Offset
Simple Equation 18 With Offset 2D		y = aexp(bx+c*pow(x,0.5)) + Offset
Simple Equation 19 With Offset 2D		y = aexp(b/x+cx) + Offset
Simple Equation 20 With Offset 2D		y = (a+x)/(b+c*x) + Offset
Simple Equation 21 With Offset 2D		y = (a+x)/(b+c*pow(x,2.0)) + Offset
Simple Equation 22 With Offset 2D		y = a(exp(bx)-exp(c*x)) + Offset
Simple Equation 23 With Offset 2D		y = aexp(bexp(c*x)) + Offset
Simple Equation 24 With Offset 2D		y = a/(1.0 + b * exp(c*x)) + Offset
Simple Equation 25 With Offset 2D		y = a/(b+pow(x,c)) + Offset
Simple Equation 26 With Offset 2D		y = a/pow(1.0 + b * pow(x,c),2.0) + Offset
Simple Equation 27 With Offset 2D		y = pow(a+b*x,c) + Offset
Simple Equation 28 With Offset 2D		y = exp(a+b/x+c*ln(x)) + Offset
Simple Equation 29 With Offset 2D		y = aexp(bpow(x,c)) + Offset
Simple Equation 30 With Offset 2D		y = apow(x,bpow(x,c)) + Offset
Simple Equation 31 With Offset 2D		y = a*ln(x+b) + Offset
Simple Equation 32 With Offset 2D		y = a/x+b*pow(x,c) + Offset
Simple Equation 33 With Offset 2D		y = a/x+b*exp(c/x) + Offset
Simple Equation 34 With Offset 2D		y = a/x+bexp(cx) + Offset
Simple Equation 35 With Offset 2D		y = aexp(bx)/x + Offset
Simple Equation 36 With Offset 2D		y = a*exp(b/x)/x + Offset
Simple Equation 37 With Offset 2D		y = apow(x,b)ln(x) + Offset
Simple Equation 38 With Offset 2D		y = a*pow(x,b)/ln(x) + Offset
Simple Equation 39 With Offset 2D		y = apow(x,b)ln(x+c) + Offset
Simple Equation 40 With Offset 2D		y = a*pow(ln(x+b),c) + Offset
Simple Equation 41 With Offset 2D		y = apow(x,b/x)+cx + Offset
Simple Equation 42 With Offset 2D		y = apow(x,b/x)+cln(x) + Offset
Simple Reciprocal With Offset 2D		y = a / x + Offset
Square Modified Transform With Offset 2D		y = (bx + c)² - a(bx + c) + Offset
Square Modified With Offset 2D		y = x² - ax + Offset
Transition State Rate Constant Law With Offset 2D		y = ax^b * exp(-c/x) + Offset
Witch Of Maria Agnesi A With Offset 2D		y = 8a³ / (x² + 4a²) + Offset
Witch Of Maria Agnesi B With Offset 2D		y = a³ / (x² + a²) + Offset
Witch Of Maria Agnesi C With Offset 2D		y = a³ / ((x * b + c)² + a²) + Offset

NIST Bennett5 2D		y = a * (b+x)^-1/c [web citation]
NIST BoxBOD 2D		y = a * (1.0-exp(-b*x)) [web citation]
NIST Chwirut 2D		y = exp(-ax) / (b + cx) [web citation]
NIST DanWood 2D		y = a*x^b [web citation]
NIST ENSO 2D		y = a + bcos(2pix/12) + csin(2pix/12) + fcos(2pix/d) + gsin(2pix/d) + icos(2pix/h) + jsin(2pix/h) [web citation]
NIST Eckerle4 2D		y = (a/b) * exp(-0.5*((x-c)/b)²) [web citation]
NIST Gauss 2D		y = aexp(-bx) + cexp(-(x-d)² / f²) + gexp(-(x-h)² / i²) [web citation]
NIST Hahn 2D		y = (a + bx + cx² + dx³) / (1.0 + fx + gx² + hx³) [web citation]
NIST Kirby 2D		y = (a + bx + cx²) / (1.0 + dx + fx²) [web citation]
NIST Lanczos 2D		y = aexp(-bx) + cexp(-dx) + fexp(-gx) [web citation]
NIST MGH09 2D		y = a * (x² + bx) / (x² + cx + d) [web citation]
NIST MGH10 2D		y = a * exp(b/(x+c)) [web citation]
NIST MGH17 2D		y = a + bexp(-xd) + cexp(-xf) [web citation]
NIST Misra1a 2D		y = a * (1.0 - exp(-b*x)) [web citation]
NIST Misra1b 2D		y = a * (1.0 - (1.0+b*x/2.0)^-2.0) [web citation]
NIST Misra1c 2D		y = a * (1.0 - 2.0bx)^-0.5 [web citation]
NIST Misra1d 2D		y = a * b * x * (1.0 + b*x)^-1.0 [web citation]
NIST Rat42 2D		y = a / (1.0 + exp(b - c*x)) [web citation]
NIST Rat43 2D		y = a / ((1.0 + exp(b - c*x))^(1.0/d)) [web citation]
NIST Roszman 2D		y = a - bx - (arctan(c/(x-d)) / pi) [web citation]
NIST Thurber 2D		y = (a + bx + cx² + dx³) / (1.0 + fx + gx² + hx³) [web citation]



NIST Bennett5 With Offset 2D		y = a * (b+x)^-1/c + Offset [web citation]
NIST BoxBOD With Offset 2D		y = a * (1.0-exp(-b*x)) + Offset [web citation]
NIST Chwirut With Offset 2D		y = exp(-ax) / (b + cx) + Offset [web citation]
NIST DanWood With Offset 2D		y = a*x^b + Offset [web citation]
NIST Eckerle4 With Offset 2D		y = (a/b) * exp(-0.5*((x-c)/b)²) + Offset [web citation]
NIST Gauss With Offset 2D		y = aexp(-bx) + cexp(-(x-d)² / f²) + gexp(-(x-h)² / i²) + Offset [web citation]
NIST Hahn With Offset 2D		y = (a + bx + cx² + dx³) / (1.0 + fx + gx² + hx³) + Offset [web citation]
NIST Kirby With Offset 2D		y = (a + bx + cx²) / (1.0 + dx + fx²) + Offset [web citation]
NIST Lanczos With Offset 2D		y = aexp(-bx) + cexp(-dx) + fexp(-gx) + Offset [web citation]
NIST MGH09 With Offset 2D		y = a * (x² + bx) / (x² + cx + d) + Offset [web citation]
NIST MGH10 With Offset 2D		y = a * exp(b/(x+c)) + Offset [web citation]
NIST Misra1a With Offset 2D		y = a * (1.0 - exp(-b*x)) + Offset [web citation]
NIST Misra1b With Offset 2D		y = a * (1.0 - (1.0+b*x/2.0)^-2.0) + Offset [web citation]
NIST Misra1c With Offset 2D		y = a * (1.0 - 2.0bx)^-0.5 + Offset [web citation]
NIST Misra1d With Offset 2D		y = a * b * x * (1.0 + b*x)^-1.0 + Offset [web citation]
NIST Rat42 With Offset 2D		y = a / (1.0 + exp(b - c*x)) + Offset [web citation]
NIST Rat43 With Offset 2D		y = a / ((1.0 + exp(b - c*x))^(1.0/d)) + Offset [web citation]
NIST Thurber With Offset 2D		y = (a + bx + cx² + dx³) / (1.0 + fx + gx² + hx³) + Offset [web citation]

CAUCHY 2D		n = A + B/x² + C/x⁴ [web citation]
CONRADY1 2D		n = A + B/x + C/x^3.5 [web citation]
CONRADY2 2D		n = A + B/x² + C/x^3.5 [web citation]
HARTMANN1 2D		n = A + B/(C - x) [web citation]
HARTMANN2 2D		n = A + B/(C - x)² [web citation]
HARTMANN3a 2D		n = A + B/(C - x)^1.2 [web citation]
HARTMANN3b 2D		n = A/(x - B)^1.2 [web citation]
HARTMANN4 2D		n = A + B/(C - x) + D/(E - x) [web citation]
HERZBRGR2X2 2D		n = A + Bx² + C / (x² - 0.028) + D / (x² - 0.028)² [web citation]
HERZBRGR3X2 2D		n = A + Bx² + Cx⁴ + D / (x² - 0.028) + E / (x² - 0.028)² [web citation]
HERZBRGR3X3 2D		n = A + Bx² + Cx⁴ + D / (x² - 0.028) + E / (x² - 0.028)² + F / (x² - 0.028)⁴ [web citation]
HERZBRGR4X2 2D		n = A + Bx² + Cx⁴ + Dx⁶ + E / (x² - 0.028) + F / (x² - 0.028)² [web citation]
HERZBRGR5X2 2D		n = A + Bx² + Cx⁴ + Dx⁶ + Ex⁸ + F / (x² - 0.028) + G / (x² - 0.028)² [web citation]
HERZBRGRJK 2D		n = A + Bx² + Cx⁴ + Dx⁶ + E / (x² - J) + F / (x² - K)² [web citation]
HoO1 2D		n² = A + Bx² + C / (x² - D²) [web citation]
HoO2 2D		n² = A + Bx² + Cx² / (x² - D²) [web citation]
KINGSLAKE1 2D		n² = A + B/(x²-C²) + D/(x²-E²) [web citation]
KINGSLAKE2 2D		n² = A + B/(x²-C²) + D/(x²-E²) + F/(x²-G²) [web citation]
MISC01 2D		n² = A + B/(x²-C²) [web citation]
MISC02 2D		n² = A + Bx² + C/(x²-D²) [web citation]
MISC03 2D		n² = A + B/x² + Cx²/(x²-D²) [web citation]
MISC04 2D		n² = A + Bx² + Cx⁴ + D/x² + Ex²/(x²-F+(Gx²/(x²-F))) [web citation]
SCHOTT2X3 2D		n² = A + Bx² + C/x² + D/x⁴ + E/x⁶ [web citation]
SCHOTT2X4 2D		n² = A + Bx² + C/x² + D/x⁴ + E/x⁶ + F/x⁸ [web citation]
SCHOTT2X5 2D		n² = A + Bx² + C/x² + D/x⁴ + E/x⁶ + F/x⁸ + G/x¹⁰ [web citation]
SCHOTT2X6 2D		n² = A + Bx² + C/x² + D/x⁴ + E/x⁶ + F/x⁸ + G/x¹⁰ + H/x¹² [web citation]
SCHOTT3X3 2D		n² = A + Bx² + Cx⁴ + D/x² + E/x⁴ + F/x⁶ [web citation]
SCHOTT3X4 2D		n² = A + Bx² + Cx⁴ + D/x² + E/x⁴ + F/x⁶ + G/x⁸ [web citation]
SCHOTT3X5 2D		n² = A + Bx² + Cx⁴ + D/x² + E/x⁴ + F/x⁶ + G/x⁸ + H/x¹⁰ [web citation]
SCHOTT4X4 2D		n² = A + Bx² + Cx⁴ + Dx⁶ + E/x² + F/x⁴ + G/x⁶ + H/x⁸ [web citation]
SCHOTT5X5 2D		n² = A + Bx² + Cx⁴ + Dx⁶ + Ex⁸ + F/x² + G/x⁴ + H/x⁶ + J/x⁸ + K/x¹⁰ [web citation]
SELL1T 2D		n² = 1 + Ax² / (x² - B²) [web citation]
SELL1TA 2D		n² = A + Bx² / (x² - C²) [web citation]
SELL2T 2D		n² = 1 + Ax²/(x²-B²) + Cx²/(x²-D²) [web citation]
SELL2TA 2D		n² = A + Bx²/(x²-C²) + Dx²/(x²-E²) [web citation]
SELL3T 2D		n² = 1 + Ax²/(x²-B²) + Cx²/(x²-D²) + Ex²/(x²-F²) [web citation]
SELL3TA 2D		n² = A + Bx²/(x²-C²) + Dx²/(x²-E²) + Fx²/(x²-G²) [web citation]
SELL4T 2D		n² = 1 + Ax²/(x²-B²) + Cx²/(x²-D²) + Ex²/(x²-F²) + Gx²/(x²-H²) [web citation]
SELL4TA 2D		n² = A + Bx²/(x²-C²) + Dx²/(x²-E²) + Fx²/(x²-G²) + Hx²/(x²-J²) [web citation]
SELL5T 2D		n² = 1 + Ax²/(x²-B²) + Cx²/(x²-D²) + Ex²/(x²-F²) + Gx²/(x²-H²) + Jx²/(x²-K²) [web citation]
SELL5TA 2D		n² = A + Bx²/(x²-C²) + Dx²/(x²-E²) + Fx²/(x²-G²) + Hx²/(x²-J²) + Kx²/(x²-M²) [web citation]
SELL6TA 2D		n² = A + Bx²/(x²-C²) + Dx²/(x²-E²) + Fx²/(x²-G²) + Hx²/(x²-J²) + Kx²/(x²-M²) + Nx²/(x²-P²) [web citation]
SELL7TA 2D		n² = A + Bx²/(x²-C²) + Dx²/(x²-E²) + Fx²/(x²-G²) + Hx²/(x²-J²) + Kx²/(x²-M²) + Nx²/(x²-P²) + Qx²/(x²-R²) [web citation]
SELLMOD1 2D		n² = A + Bx + Cx² + Dx²/(x²-E²) [web citation]
SELLMOD1A 2D		n² = A + Bx + Cx² + D/(x²-E²) [web citation]
SELLMOD2 2D		n² = A + Bx + Cx⁴ + Dx²/(x²-E²) [web citation]
SELLMOD2A 2D		n² = A + Bx + Cx⁴ + D/(x²-E²) [web citation]
SELLMOD3 2D		n² = (Ax²+B)/(x²-C²) + Dx²/(x²-E²) [web citation]
SELLMOD4 2D		n² = A + Bx² + C/x² + Dx²/(x²-E²) + Fx²/(x²-G²) [web citation]
SELLMOD4A 2D		n² = A + Bx² + C/x² + D/(x²-E²) + F/(x²-G²) [web citation]
SELLMOD5 2D		n² = A + Bx² + Cx²/(x²-D²) + Ex²/(x²-F²) [web citation]
SELLMOD6 2D		n² = A + Bx²/(x²-C²) + D/(x²-E²) [web citation]
SELLMOD7 2D		n² = A + Bx² + Cx⁴ + D/x⁶ + Ex²/(x²-F²) [web citation]
SELLMOD7A 2D		n² = A + Bx² + Cx⁴ + D/x⁶ + E/(x²-F²) [web citation]
SELLMOD8 2D		n² = A + Bx² + Cx⁴ + D/(x²-E²) + F/(x²-G²) [web citation]
SELLMOD9 2D		n² = A + B/x² + C/x⁴ + D/x⁶ + Ex²/(x²-F²) [web citation]



HARTMANN3b With Offset 2D		n = A/(x - B)^1.2 + Offset [web citation]
SELLMOD3 With Offset 2D		n² = (Ax²+B)/(x²-C²) + Dx²/(x²-E²) + Offset [web citation]

Arnold Cohen Log-Normal Peak Shifted 2D		y = a * (exp(-0.5 * ((ln(x-f)-b)/c)²)) / (d * (x-g))
Arnold Cohen Two-Parameter Log-Normal Peak Shifted 2D		y = exp(-0.5 * ((ln(x-d)-b)/c)²) / (sqrt(2pi) c * (x-f))
Box Lucas A 2D		y = a * (1.0 - b^x)
Box Lucas A Shifted 2D		y = a * (1.0 - b^x-c)
Box Lucas B 2D		y = a * (1.0 - exp(-bx))
Box Lucas B Shifted 2D		y = a * (1.0 - exp(-b(x-c)))
Box Lucas C 2D		y = (a / (a-b)) * (exp(-bx) - exp(-ax))
Box Lucas C shifted 2D		y = (a / (a-b)) * (exp(-b(x-c)) - exp(-a(x-c)))
Extreme Value Peak 2D		y = a * exp(-exp(-((x-b)/c))-((x-b)/c)+1.0)
Gaussian Peak 2D		y = a * exp(-0.5 * ((x-b)/c)²)
Gaussian Peak Modified 2D		y = a * exp(-0.5 * ((x-b)/c)^d)
Hamilton 2D		Vb = Gb * (I/mu)^{ln(mu/I)/(BB)} + (Vb_max I)/(I + sigma_b)
Log-Normal Peak 2D		y = a * exp(-0.5 * ((ln(x)-b)/c)²)
Log-Normal Peak Modified 2D		y = a * exp(-0.5 * ((ln(x)-b)/c)^d)
Log-Normal Peak Modified Shifted 2D		y = a * exp(-0.5 * ((ln(x-e)-b)/c)^d)
Log-Normal Peak Shifted 2D		y = a * exp(-0.5 * ((ln(x-d)-b)/c)²)
Logistic Peak 2D		y = 4a * exp(-1.0 * (x-b) / c) / (1.0 + exp(-1.0 * (x-b) / c))
Lorentzian Modified Peak A 2D		y = 1.0 / (1.0 + (x-a)^b)
Lorentzian Modified Peak B 2D		y = 1.0 / (a + (x-b)^c)
Lorentzian Modified Peak C 2D		y = a / (b + (x-c)^d)
Lorentzian Modified Peak D 2D		y = 1.0 / (1.0 + ((x-a)/b)^c)
Lorentzian Modified Peak E 2D		y = 1.0 / (a + ((x-b)/c)^d)
Lorentzian Modified Peak F 2D		y = a / (b + ((x-c)/d)^f)
Lorentzian Peak A 2D		y = 1.0 / (1.0 + (x-a)²)
Lorentzian Peak B 2D		y = 1.0 / (a + (x-b)²)
Lorentzian Peak C 2D		y = a / (b + (x-c)²)
Lorentzian Peak D 2D		y = 1.0 / (1.0 + ((x-a)/b)²)
Lorentzian Peak E 2D		y = 1.0 / (a + ((x-b)/c)²)
Lorentzian Peak F 2D		y = a / (b + ((x-c)/d)²)
Pseudo-Voight Peak 2D		y = a * (d * (1/(1+((x-b)/c)²)) + (1-d) * exp(-0.5 * ((x-b)/c)²))
Pseudo-Voight Peak Modified 2D		y = a * (d * (1/(1+((x-b)/c)^e)) + (1-d) * exp(-0.5 * ((x-b)/c)^f))
Pulse Peak 2D		y = 4a * exp(-(x-b)/c) * (1.0 - exp(-(x-b)/c))
Weibull Peak 2D		y = a * exp(-0.5 * (ln(x/b)/c)²)
Weibull Peak Modified 2D		y = a * exp(-0.5 * (ln(x/b)/c)^d)
Weibull Peak Modified Shifted 2D		y = a * exp(-0.5 * (ln((x-e)/b)/c)^d)
Weibull Peak Shifted 2D		y = a * exp(-0.5 * (ln((x-d)/b)/c)²)



Arnold Cohen Log-Normal Peak Shifted With Offset 2D		y = a * (exp(-0.5 * ((ln(x-f)-b)/c)²)) / (d * (x-g)) + Offset
Arnold Cohen Two-Parameter Log-Normal Peak Shifted With Offset 2D		y = exp(-0.5 * ((ln(x-d)-b)/c)²) / (sqrt(2pi) c * (x-f)) + Offset
Box Lucas A Shifted With Offset 2D		y = a * (1.0 - b^x-c) + Offset
Box Lucas A With Offset 2D		y = a * (1.0 - b^x) + Offset
Box Lucas B Shifted With Offset 2D		y = a * (1.0 - exp(-b(x-c))) + Offset
Box Lucas B With Offset 2D		y = a * (1.0 - exp(-bx)) + Offset
Box Lucas C With Offset 2D		y = (a / (a-b)) * (exp(-bx) - exp(-ax)) + Offset
Box Lucas C shifted With Offset 2D		y = (a / (a-b)) * (exp(-b(x-c)) - exp(-a(x-c))) + Offset
Extreme Value Peak With Offset 2D		y = a * exp(-exp(-((x-b)/c))-((x-b)/c)+1.0) + Offset
Gaussian Peak Modified With Offset 2D		y = a * exp(-0.5 * ((x-b)/c)^d) + Offset
Gaussian Peak With Offset 2D		y = a * exp(-0.5 * ((x-b)/c)²) + Offset
Hamilton With Offset 2D		Vb = Gb * (I/mu)^{ln(mu/I)/(BB)} + (Vb_max I)/(I + sigma_b) + Offset
Log-Normal Peak Modified Shifted With Offset 2D		y = a * exp(-0.5 * ((ln(x-e)-b)/c)^d) + Offset
Log-Normal Peak Modified With Offset 2D		y = a * exp(-0.5 * ((ln(x)-b)/c)^d) + Offset
Log-Normal Peak Shifted With Offset 2D		y = a * exp(-0.5 * ((ln(x-d)-b)/c)²) + Offset
Log-Normal Peak With Offset 2D		y = a * exp(-0.5 * ((ln(x)-b)/c)²) + Offset
Logistic Peak With Offset 2D		y = 4a * exp(-1.0 * (x-b) / c) / (1.0 + exp(-1.0 * (x-b) / c)) + Offset
Lorentzian Modified Peak A With Offset 2D		y = 1.0 / (1.0 + (x-a)^b) + Offset
Lorentzian Modified Peak B With Offset 2D		y = 1.0 / (a + (x-b)^c) + Offset
Lorentzian Modified Peak C With Offset 2D		y = a / (b + (x-c)^d) + Offset
Lorentzian Modified Peak D With Offset 2D		y = 1.0 / (1.0 + ((x-a)/b)^c) + Offset
Lorentzian Modified Peak E With Offset 2D		y = 1.0 / (a + ((x-b)/c)^d) + Offset
Lorentzian Modified Peak F With Offset 2D		y = a / (b + ((x-c)/d)^f) + Offset
Lorentzian Peak A With Offset 2D		y = 1.0 / (1.0 + (x-a)²) + Offset
Lorentzian Peak B With Offset 2D		y = 1.0 / (a + (x-b)²) + Offset
Lorentzian Peak C With Offset 2D		y = a / (b + (x-c)²) + Offset
Lorentzian Peak D With Offset 2D		y = 1.0 / (1.0 + ((x-a)/b)²) + Offset
Lorentzian Peak E With Offset 2D		y = 1.0 / (a + ((x-b)/c)²) + Offset
Lorentzian Peak F With Offset 2D		y = a / (b + ((x-c)/d)²) + Offset
Pseudo-Voight Peak Modified With Offset 2D		y = a * (d * (1/(1+((x-b)/c)^e)) + (1-d) * exp(-0.5 * ((x-b)/c)^f)) + Offset
Pseudo-Voight Peak With Offset 2D		y = a * (d * (1/(1+((x-b)/c)²)) + (1-d) * exp(-0.5 * ((x-b)/c)²)) + Offset
Pulse Peak With Offset 2D		y = 4a * exp(-(x-b)/c) * (1.0 - exp(-(x-b)/c)) + Offset
Weibull Peak Modified Shifted With Offset 2D		y = a * exp(-0.5 * (ln((x-e)/b)/c)^d) + Offset
Weibull Peak Modified With Offset 2D		y = a * exp(-0.5 * (ln(x/b)/c)^d) + Offset
Weibull Peak Shifted With Offset 2D		y = a * exp(-0.5 * (ln((x-d)/b)/c)²) + Offset
Weibull Peak With Offset 2D		y = a * exp(-0.5 * (ln(x/b)/c)²) + Offset

Cubic 2D		y = a + bx + cx² + dx³
Linear 2D		y = a + bx
Marc Plante's Custom Quadratic 2D		y = (-b + (b² - 4 a (c - x))^0.5) / 2 / a
Quadratic 2D		y = a + bx + cx²
Quartic 2D		y = a + bx + cx² + dx³ + fx⁴
Quintic 2D		y = a + bx + cx² + dx³ + fx⁴ + gx⁵
User-Selectable Polynomial 2D		y = user-selectable polynomial



Marc Plante's Custom Quadratic With Offset 2D		y = (-b + (b² - 4 a (c - x))^0.5) / 2 / a + Offset

Geometric Modified 2D		y = a * x^(b/x)
Power A Modified 2D		y = a * b^x
Power A Modified Transform 2D		y = a * b^{cx + d}
Power B Modified 2D		y = a^ln(x)
Power B Modified Transform 2D		y = a^{ln(bx + c)}
Power C Modified 2D		y = (a + x)^b
Power C Modified Transform 2D		y = (a + bx)^c
Power Law With Exponential Cutoff 2D		p(k) = C * k^(-T) * exp(-k/K)
Root 2D		y = a^(1.0/x)
Simple Power 2D		y = x^a
Standard Geometric 2D		y = a * x^bx
Standard Power 2D		y = a * x^b
X Shifted Power 2D		y = a * (x-b)^c



Geometric Modified With Offset 2D		y = a * x^(b/x) + Offset
Power A Modified Transform With Offset 2D		y = a * b^{cx + d} + Offset
Power A Modified With Offset 2D		y = a * b^x + Offset
Power B Modified Transform With Offset 2D		y = a^{ln(bx + c)} + Offset
Power B Modified With Offset 2D		y = a^ln(x) + Offset
Power C Modified Transform With Offset 2D		y = (a + bx)^c + Offset
Power C Modified With Offset 2D		y = (a + x)^b + Offset
Power Law With Exponential Cutoff With Offset 2D		p(k) = C * k^(-T) * exp(-k/K) + Offset
Root With Offset 2D		y = a^(1.0/x) + Offset
Simple Power With Offset 2D		y = x^a + Offset
Standard Geometric With Offset 2D		y = a * x^bx + Offset
Standard Power With Offset 2D		y = a * x^b + Offset
X Shifted Power With Offset 2D		y = a * (x-b)^c + Offset

BET Sigmoidal A 2D		y = x / (a + bx - (a+b)x²)
BET Sigmoidal B 2D		y = abx / (1.0 + (b-2.0)x - (b-1.0)x²)
Boltzmann Sigmoid 2D		y = (a - b) / (1.0 + exp((x-c)/d)) + b
Chapman 2D		y = a * (1.0 - exp(-bx))^c
Don Levin Sigmoid 2D		y = a1 / (1.0 + exp(-(x-b1)/c1)) + a2 / (1.0 + exp(-(x-b2)/c2)) + a3 / (1.0 + exp(-(x-b3)/c3))
Five-Parameter Logistic 2D		y = d + (a-d) / (1.0 + (x/c)^b)^e
Four-Parameter Logistic 2D		y = d + (a-d) / (1.0 + (x/c)^b)
Generalised Logistic 2D		y = A + C / (1 + T * exp(-B * (x - M)))^1/T [web citation]
Gompertz A 2D		y = a * exp(-exp(b - cx))
Gompertz B 2D		y = a * exp(-exp((x-b)/c))
Gompertz C 2D		y = a * exp(b * exp(c * x))
Hill 2D		y = ax^b / (c^b + x^b)
Janoschek Growth 2D		w = a - (1.0 - exp(-b * t^c)) [web citation]
Janoschek Growth Modified 2D		w = a - (a - w0) * (1.0 - exp(-b * t^c)) [web citation]
Logistic A 2D		y = a / (1.0 + b*exp(-cx))
Logistic B 2D		y = a / (1.0 + (x/b)^c)
Magnetic Saturation 2D		y = ax * (1.0 + b*exp(cx))
Morgan-Mercer-Flodin (MMF) 2D		y = (a * b + c * x^d) / (b + x^d)
Peters-Baskin Step-Stool: y (1) 2D		y = ln(c + exp(bdx)) / d [web citation]
Peters-Baskin Step-Stool: yI (2) 2D		yI = ln(exp(b2c1d1) + exp(b2d1x)) / d1 [web citation]
Peters-Baskin Step-Stool: yII (3) 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1*x + K/d1 [web citation]
Peters-Baskin Step-Stool: yIII (6) 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1x + K/d1 L = ln( exp(b2c1d1) + exp(b2c2d1) ) yIII = yII - ln( exp(d2(b1c1 + L/d1)) + exp(d2yII) ) / d2 [web citation]
Peters-Baskin Step-Stool: yIV (9) 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1x + K/d1 L = ln( exp(b2c1d1) + exp(b2c2d1) ) yIII = yII - ln( exp(d2(b1c2 + L/d1)) + exp(d2yII) ) / d2 yII,0 = ln(exp(b2c1d1) + 1.0 ) / d1 yIII,0 = yII,0 - ln( exp(d2(b1c2 + L/d1)) + exp(d2*yII,0) ) / d2 yIV = yIII - yIII,0 [web citation]
Peters-Baskin Step-Stool: yV (10) 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1x + K/d1 L = ln( exp(b2c1d1) + exp(b2c2d1) ) yIII = yII - ln( exp(d2(b1c2 + L/d1)) + exp(d2yII) ) / d2 yII,0 = ln(exp(b2c1d1) + 1.0 ) / d1 yIII,0 = yII,0 - ln( exp(d2(b1c2 + L/d1)) + exp(d2*yII,0) ) / d2 yIV = yIII - yIII,0 + q [web citation]
Peters-Baskin Step-Stool: yV (10) Scaled 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1x + K/d1 L = ln( exp(b2c1d1) + exp(b2c2d1) ) yIII = yII - ln( exp(d2(b1c2 + L/d1)) + exp(d2yII) ) / d2 yII,0 = ln(exp(b2c1d1) + 1.0 ) / d1 yIII,0 = yII,0 - ln( exp(d2(b1c2 + L/d1)) + exp(d2yII,0) ) / d2 yIV = scale (yIII - yIII,0 )+ q [web citation]
Richards 2D		y = 1.0 / (a + b * e^(c*x))^d
Sigmoid A 2D		y = 1.0 / (1.0 + exp(-a(x-b)))
Sigmoid A Modified 2D		y = 1.0 / (1.0 + exp(-a(x-b)))^c
Sigmoid B 2D		y = a / (1.0 + exp(-(x-b)/c))
Sigmoid B Modified 2D		y = a / (1.0 + exp(-(x-b)/c))^d
Weibull 2D		y = a - b*exp(-cx^d)
Weibull CDF 2D		y = 1.0 - exp(-(x/b)^a)
Weibull PDF 2D		y = (a/b) * (x/b)^(a-1.0) * exp(-(x/b)^a)



BET Sigmoidal A With Offset 2D		y = x / (a + bx - (a+b)x²) + Offset
BET Sigmoidal B With Offset 2D		y = abx / (1.0 + (b-2.0)x - (b-1.0)x²) + Offset
Chapman With Offset 2D		y = a * (1.0 - exp(-bx))^c + Offset
Don Levin Sigmoid With Offset 2D		y = a1 / (1.0 + exp(-(x-b1)/c1)) + a2 / (1.0 + exp(-(x-b2)/c2)) + a3 / (1.0 + exp(-(x-b3)/c3)) + Offset
Gompertz A With Offset 2D		y = a * exp(-exp(b - cx)) + Offset
Gompertz B With Offset 2D		y = a * exp(-exp((x-b)/c)) + Offset
Gompertz C With Offset 2D		y = a * exp(b * exp(c * x)) + Offset
Hill With Offset 2D		y = ax^b / (c^b + x^b) + Offset
Logistic A With Offset 2D		y = a / (1.0 + b*exp(-cx)) + Offset
Logistic B With Offset 2D		y = a / (1.0 + (x/b)^c) + Offset
Magnetic Saturation With Offset 2D		y = ax * (1.0 + b*exp(cx)) + Offset
Morgan-Mercer-Flodin (MMF) With Offset 2D		y = (a * b + c * x^d) / (b + x^d) + Offset
Peters-Baskin Step-Stool: y (1) With Offset 2D		y = ln(c + exp(bdx)) / d + Offset [web citation]
Peters-Baskin Step-Stool: yI (2) With Offset 2D		yI = ln(exp(b2c1d1) + exp(b2d1x)) / d1 + Offset [web citation]
Peters-Baskin Step-Stool: yII (3) With Offset 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1*x + K/d1 + Offset [web citation]
Peters-Baskin Step-Stool: yIII (6) With Offset 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1x + K/d1 L = ln( exp(b2c1d1) + exp(b2c2d1) ) yIII = yII - ln( exp(d2(b1c1 + L/d1)) + exp(d2yII) ) / d2 + Offset [web citation]
Peters-Baskin Step-Stool: yIV (9) With Offset 2D		K = ln( exp(b2c1d1) + exp(b2d1x) ) yII = b1x + K/d1 L = ln( exp(b2c1d1) + exp(b2c2d1) ) yIII = yII - ln( exp(d2(b1c2 + L/d1)) + exp(d2yII) ) / d2 yII,0 = ln(exp(b2c1d1) + 1.0 ) / d1 yIII,0 = yII,0 - ln( exp(d2(b1c2 + L/d1)) + exp(d2*yII,0) ) / d2 yIV = yIII - yIII,0 + Offset [web citation]
Richards With Offset 2D		y = 1.0 / (a + b * e^(c*x))^d + Offset
Sigmoid A Modified With Offset 2D		y = 1.0 / (1.0 + exp(-a(x-b)))^c + Offset
Sigmoid A With Offset 2D		y = 1.0 / (1.0 + exp(-a(x-b))) + Offset
Sigmoid B Modified With Offset 2D		y = a / (1.0 + exp(-(x-b)/c))^d + Offset
Sigmoid B With Offset 2D		y = a / (1.0 + exp(-(x-b)/c)) + Offset
Weibull CDF With Offset 2D		y = 1.0 - exp(-(x/b)^a) + Offset
Weibull PDF With Offset 2D		y = (a/b) * (x/b)^(a-1.0) * exp(-(x/b)^a) + Offset


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Spline 2D		y = B-Spline Interpolation Curve

Spline 3D		z = B-Spline Interpolation Curve

Competitive Inhibition A 3D		z = ax / (b(1 + y/c) + x)
Competitive Inhibition B 3D		z = ay / (b(1 + x/c) + y)
Inhibition By Competing Substrate A 3D		z = (ax/b) / (1 + x/b + y/c)
Inhibition By Competing Substrate B 3D		z = (ay/b) / (1 + y/b + x/c)
Michaelis Menten Product Inhibition 3D		z = (ax/b - cy/d) / (1 + x/b + y/d)
Mixed Inhibition A 3D		z = ax / (b(1 + y/c) + x(1 + y/d))
Mixed Inhibition B 3D		z = ay / (b(1 + x/c) + y(1 + x/d))
Noncompetitive Inhibition A 3D		z = ax / ((b + x)(1 + y/c))
Noncompetitive Inhibition B 3D		z = ay / ((b + y)(1 + x/c))
Ping Pong Bi Bi A 3D		z = ax / (bx + cy + xy)
Ping Pong Bi Bi B 3D		z = ay / (by + cx + xy)
Uncompetitive Inhibition A 3D		z = ax / (b + x(1 + y/c))
Uncompetitive Inhibition B 3D		z = ay / (b + y(1 + x/c))



Competitive Inhibition A With Offset 3D		z = ax / (b(1 + y/c) + x) + Offset
Competitive Inhibition B With Offset 3D		z = ay / (b(1 + x/c) + y) + Offset
Inhibition By Competing Substrate A With Offset 3D		z = (ax/b) / (1 + x/b + y/c) + Offset
Inhibition By Competing Substrate B With Offset 3D		z = (ay/b) / (1 + y/b + x/c) + Offset
Michaelis Menten Product Inhibition With Offset 3D		z = (ax/b - cy/d) / (1 + x/b + y/d) + Offset
Mixed Inhibition A With Offset 3D		z = ax / (b(1 + y/c) + x(1 + y/d)) + Offset
Mixed Inhibition B With Offset 3D		z = ay / (b(1 + x/c) + y(1 + x/d)) + Offset
Noncompetitive Inhibition A With Offset 3D		z = ax / ((b + x)(1 + y/c)) + Offset
Noncompetitive Inhibition B With Offset 3D		z = ay / ((b + y)(1 + x/c)) + Offset
Ping Pong Bi Bi A With Offset 3D		z = ax / (bx + cy + xy) + Offset
Ping Pong Bi Bi B With Offset 3D		z = ay / (by + cx + xy) + Offset
Uncompetitive Inhibition A With Offset 3D		z = ax / (b + x(1 + y/c)) + Offset
Uncompetitive Inhibition B With Offset 3D		z = ay / (b + y(1 + x/c)) + Offset

Cardinal Sine (sinc) 2D		y = a * sin(x) / x
Cardinal Sine (sinc) Transform 2D		y = a * sin(bx + c) / (bx + c)
Cardinal Sine Squared (sinc squared) 2D		y = a * (sin(x))² / x
Cardinal Sine Squared (sinc squared) Transform 2D		y = a * (sin(bx + c))² / (bx + c)
Hyperbolic Cosine A [radians] 2D		y = a * cosh(x)
Hyperbolic Cosine B [radians] 2D		y = a * cosh(x + b)
Hyperbolic Cosine C [radians] 2D		y = a / cosh(x)
Hyperbolic Cosine D [radians] 2D		y = a / cosh(x + b)
Hyperbolic Cosine E [radians] 2D		y = a / cosh(x / a)
Sine A [radians] 2D		y = a * sin(x)
Sine B [radians] 2D		y = a * sin(b*x)
Sine C [radians] 2D		y = a * sin(bx + c)
Sine D [radians] 2D		y = a * sin(x + b)
Tangent A [radians] 2D		y = a * tan(x)
Tangent B [radians] 2D		y = a * tan(b*x)
Tangent C [radians] 2D		y = a * tan(bx + c)
Tangent D [radians] 2D		y = a * tan(x + b)



Cardinal Sine (sinc) Transform With Offset 2D		y = a * sin(bx + c) / (bx + c) + Offset
Cardinal Sine (sinc) With Offset 2D		y = a * sin(x) / x + Offset
Cardinal Sine Squared (sinc squared) Transform With Offset 2D		y = a * (sin(bx + c))² / (bx + c) + Offset
Cardinal Sine Squared (sinc squared) With Offset 2D		y = a * (sin(x))² / x + Offset
Hyperbolic Cosine A [radians] With Offset 2D		y = a * cosh(x) + Offset
Hyperbolic Cosine B [radians] With Offset 2D		y = a * cosh(x + b) + Offset
Hyperbolic Cosine C [radians] With Offset 2D		y = a / cosh(x) + Offset
Hyperbolic Cosine D [radians] With Offset 2D		y = a / cosh(x + b) + Offset
Hyperbolic Cosine E [radians] With Offset 2D		y = a / cosh(x / a) + Offset
Sine A [radians] With Offset 2D		y = a * sin(x) + Offset
Sine B [radians] With Offset 2D		y = a * sin(b*x) + Offset
Sine C [radians] With Offset 2D		y = a * sin(bx + c) + Offset
Sine D [radians] With Offset 2D		y = a * sin(x + b) + Offset
Tangent A [radians] With Offset 2D		y = a * tan(x) + Offset
Tangent B [radians] With Offset 2D		y = a * tan(b*x) + Offset
Tangent C [radians] With Offset 2D		y = a * tan(bx + c) + Offset
Tangent D [radians] With Offset 2D		y = a * tan(x + b) + Offset

Bleasdale 2D		y = 1.0 / (a + bx)^(-1.0/c)
Extended Holliday 2D		y = a / (a + bx + cx²)
Harris 2D		y = 1.0 / (a + bx^c)
Holliday 2D		y = 1.0 / (a + bx + cx²)
Inverse Bleasdale 2D		y = x / (a + bx)^(-1.0/c)
InverseHarris 2D		y = x / (a + bx^c)



Bleasdale With Offset 2D		y = 1.0 / (a + bx)^(-1.0/c) + Offset
Extended Holliday With Offset 2D		y = a / (a + bx + cx²) + Offset
Harris With Offset 2D		y = 1.0 / (a + bx^c) + Offset
Holliday With Offset 2D		y = 1.0 / (a + bx + cx²) + Offset
Inverse Bleasdale With Offset 2D		y = x / (a + bx)^(-1.0/c) + Offset
InverseHarris With Offset 2D		y = x / (a + bx^c) + Offset

Chen-Clayton 3D		r.h.(T_k,M) = exp(-(C1/T^C2) * exp(-C3T^C4M)) [web citation]
High-Low Affinity Double Isotope Displacement (y = [Hot]) 3D		z = aby / (1+b(x+y)) + cdy / (1+d(x+y))
High-Low Affinity Isotope Displacement (y = [Hot]) 3D		z = aby / (1+b(x+y))
Logistic Growth 3D		z = a / (1 + exp(-(b + cx + dy + fxy))) + g
Michaelis-Menten Double Isotope Displacement (y = [Hot]) 3D		z = ay / (b + x + y) + cy / (d + x + y)
Michaelis-Menten Isotope Displacement (y = [Hot]) 3D		z = ay / (b + x + y)
Modified Chung-Pfost 3D		r.h.(T,M) = exp(-(C1/(T+C2)) * exp(-C3*M)) [web citation]
Modified Halsey 3D		r.h.(T,M) = exp(-exp(C1 + C2T) M^-C3) [web citation]
Modified Henderson 3D		r.h.(T,M) = 1 - exp(-C1 * (T + C2) * M^C3) [web citation]
Strohman-Yoerger 3D		r.h.(P_s,M) = exp(C1exp(-C2M)ln(P_s) - C3exp(-C4*M)) [web citation]



Chen-Clayton With Offset 3D		r.h.(T_k,M) = exp(-(C1/T^C2) * exp(-C3T^C4M)) + Offset [web citation]
High-Low Affinity Double Isotope Displacement (y = [Hot]) With Offset 3D		z = aby / (1+b(x+y)) + cdy / (1+d(x+y)) + Offset
High-Low Affinity Isotope Displacement (y = [Hot]) With Offset 3D		z = aby / (1+b(x+y)) + Offset
Michaelis-Menten Double Isotope Displacement (y = [Hot]) With Offset 3D		z = ay / (b + x + y) + cy / (d + x + y) + Offset
Michaelis-Menten Isotope Displacement (y = [Hot]) With Offset 3D		z = ay / (b + x + y) + Offset
Modified Chung-Pfost With Offset 3D		r.h.(T,M) = exp(-(C1/(T+C2)) * exp(-C3*M)) + Offset [web citation]
Modified Halsey With Offset 3D		r.h.(T,M) = exp(-exp(C1 + C2T) M^-C3) + Offset [web citation]
Modified Henderson With Offset 3D		r.h.(T,M) = 1 - exp(-C1 * (T + C2) * M^C3) + Offset [web citation]
Strohman-Yoerger With Offset 3D		r.h.(P_s,M) = exp(C1exp(-C2M)ln(P_s) - C3exp(-C4*M)) + Offset [web citation]

Full Cubic Exponential 3D		z = a + bexp(x) + cexp(y) + dexp(x)² + fexp(y)² + gexp(x)³ + hexp(y)³ + iexp(x)exp(y) + jexp(x)²exp(y) + kexp(x)exp(y)²
Full Cubic Exponential Transform 3D		z = a + bexp(mx+n) + cexp(oy+p) + dexp(mx+n)² + fexp(oy+p)² + gexp(mx+n)³ + hexp(oy+p)³ + iexp(mx+n)exp(oy+p) + jexp(mx+n)²exp(oy+p) + kexp(mx+n)exp(oy+p)²
Full Quadratic Exponential 3D		z = a + bexp(x) + cexp(y) + dexp(x)² + fexp(y)² + gexp(x)exp(y)
Full Quadratic Exponential Transform 3D		z = a + bexp(hx+i) + cexp(jy+k) + dexp(hx+i)² + eexp(jy+k)² + fexp(hx+i)exp(jy+k)
Linear Exponential 3D		z = a + bexp(x) + cexp(y)
Linear Exponential Transform 3D		z = a + bexp(dx+f) + cexp(gy+h)
Simplified Cubic Exponential 3D		z = a + bexp(x) + cexp(y) + dexp(x)² + eexp(y)² + fexp(x)³ + gexp(y)³
Simplified Cubic Exponential Transform 3D		z = a + bexp(ix+j) + cexp(ky+m) + dexp(ix+j)² + fexp(ky+m)² + gexp(ix+j)³ + hexp(ky+m)³
Simplified Quadratic Exponential 3D		z = a + bexp(x) + cexp(y) + dexp(x)² + fexp(y)²
Simplified Quadratic Exponential Transform 3D		z = a + bexp(gx+h) + cexp(iy+j) + dexp(gx+h)² + fexp(iy+j)²

Full Cubic Logarithmic 3D		z = a + bln(x) + cln(y) + dln(x)² + fln(y)² + gln(x)³ + hln(y)³ + iln(x)ln(y) + jln(x)²ln(y) + kln(x)ln(y)²
Full Cubic Logarithmic Transform 3D		z = a + bln(mx+n) + cln(oy+p) + dln(mx+n)² + fln(oy+p)² + gln(mx+n)³ + hln(oy+p)³ + iln(mx+n)ln(oy+p) + jln(mx+n)²ln(oy+p) + kln(mx+n)ln(oy+p)²
Full Quadratic Logarithmic 3D		z = a + bln(x) + cln(y) + dln(x)² + fln(y)² + gln(x)ln(y)
Full Quadratic Logarithmic Transform 3D		z = a + bln(hx+i) + cln(jy+k) + dln(hx+i)² + fln(jy+k)² + gln(hx+i)ln(jy+k)
Linear Logarithmic 3D		z = a + bln(x) + cln(y)
Linear Logarithmic Transform 3D		z = a + bln(dx+f) + cln(gy+h)
Simplified Cubic Logarithmic 3D		z = a + bln(x) + cln(y) + dln(x)² + fln(y)² + gln(x)³ + hln(y)³
Simplified Cubic Logarithmic Transform 3D		z = a + bln(ix+j) + cln(ky+m) + dln(ix+j)² + fln(ky+m)² + gln(ix+j)³ + hln(ky+m)³
Simplified Quadratic Logarithmic 3D		z = a + bln(x) + cln(y) + dln(x)² + fln(y)²
Simplified Quadratic Logarithmic Transform 3D		z = a + bln(gx+h) + cln(iy+j) + dln(gx+h)² + fln(iy+j)²

Gary Cler's Custom Equation 3D		z = a * x^b * y^c
Gary Cler's Custom Equation Transform 3D		z = a * (dx + f)^b * (gy + h)^c
Gaussian Curvature Of Paraboloid 3D		z = 4a² / (1 + 4a² * (x² + y²))²
Gaussian Curvature Of Richmond's Minimal Surface 3D		z = -1.0 * a * (x² + y²)³ / (b + (x² + y²)²)⁴
Gaussian Curvature Of Whitney's Umbrella A 3D		z = -1.0 * a * y² / (x² + a * (y² + y⁴))²
Gaussian Curvature Of Whitney's Umbrella B 3D		z = -1.0 * a * x² / (y² + a * (x² + x⁴))²
Liping Zheng's core loss coefficients 3D		z = ax²y + bx²y² + cx^1.5y^1.5
Mean Curvature Of Paraboloid 3D		z = 2 * (a + 2a³ * (x² + y²)) / (1 + 4a² * (x² + y²))^1.5
Mean Curvature Of Whitney's Umbrella A 3D		z = -1.0 * x * (a + b * y²) / (x² + a * (y² + y⁴))^1.5
Mean Curvature Of Whitney's Umbrella B 3D		z = -1.0 * y * (a + b * x²) / (y² + a * (x² + x⁴))^1.5
Menn's Surface A 3D		z = ax⁴ + bx²y - cy²
Menn's Surface B 3D		z = ay⁴ + by²x - cy²
Monkey Saddle A 3D		z = ax³ - bxy²
Monkey Saddle B 3D		z = ay³ - byx²
Monkey Saddle Transform A 3D		z = a(cx + d)³ - b(cx + d)(fy + g)²
Monkey Saddle Transform B 3D		z = a(cy + d)³ - b(cy + d)(ex + f)²
Paraboloid 3D		z = a * (x² + y²)
Paraboloid Transform 3D		z = a * ((bx + c)² + (dy + f)²)
Paschen's Law for Breakdown Field Strength 3D		Ebreakdown = pressure * (a / (ln(pressure * distance) + b))
Paschen's Law for Breakdown Voltage 3D		Vbreakdown = a(pressure * distance) / (ln(pressure * distance) + b)
Simple Equation 01 3D		z = apow(x,b)pow(y,c)
Simple Equation 02 3D		z = x/(a+b*y)
Simple Equation 03 3D		z = y/(a+b*x)
Simple Equation 04 3D		z = apow(x,by)
Simple Equation 05 3D		z = apow(y,bx)
Simple Equation 06 3D		z = a*pow(x,b/y)
Simple Equation 07 3D		z = a*pow(y,b/x)
Simple Equation 08 3D		z = ax+bpow(y,2.0)
Simple Equation 09 3D		z = ay+bpow(x,2.0)
Simple Equation 10 3D		z = x/(a+b*pow(y,2.0))
Simple Equation 11 3D		z = y/(a+b*pow(x,2.0))
Simple Equation 12 3D		z = apow(b,x)pow(y,c)
Simple Equation 13 3D		z = apow(b,y)pow(x,c)
Simple Equation 14 3D		z = apow(xy,b)
Simple Equation 15 3D		z = a*pow(x/y,b)
Simple Equation 16 3D		z = a(pow(b,1.0/x))pow(y,c)
Simple Equation 17 3D		z = apow(b,1.0/y)pow(x,c)
Simple Equation 18 3D		z = apow(x/b,c)exp(y/b)
Simple Equation 19 3D		z = apow(y/b,c)exp(x/b)
Simple Equation 20 3D		z = apow(x,b+cy)
Simple Equation 21 3D		z = apow(y,b+cx)
Simple Equation 22 3D		z = a*pow(x,b+c/y)
Simple Equation 23 3D		z = a*pow(y,b+c/x)
Simple Equation 24 3D		z = apow(x,b+cln(y))
Simple Equation 25 3D		z = apow(y,b+cln(x))
Simple Equation 26 3D		z = a*pow(y,b+c/ln(x))
Simple Equation 27 3D		z = a*pow(x,b+c/ln(y))
Simple Equation 28 3D		z = aexp(bx+c*pow(y,2.0))
Simple Equation 29 3D		z = aexp(by+c*pow(x,2.0))
Simple Equation 30 3D		z = aexp(b/x+cy)
Simple Equation 31 3D		z = aexp(b/y+cx)
Simple Equation 32 3D		z = (a+x)/(b+c*y)
Simple Equation 33 3D		z = (a+y)/(b+c*x)
Simple Equation 34 3D		z = (a+x)/(b+c*pow(y,2.0))
Simple Equation 35 3D		z = (a+y)/(b+c*pow(x,2.0))
Simple Equation 36 3D		z = a(exp(bx)-exp(c*y))
Simple Equation 37 3D		z = apow(x,bpow(y,c))
Simple Equation 38 3D		z = apow(y,bpow(x,c))
Simple Equation 39 3D		z = x/(a+by+cpow(y,0.5))
Simple Equation 40 3D		z = y/(a+bx+cpow(x,0.5))
Simple Equation 41 3D		z = exp(a+b/x+c*ln(y))
Simple Equation 42 3D		z = exp(a+b/y+c*ln(x))
Simple Equation 43 3D		z = apow(x,b)ln(y+c)
Simple Equation 44 3D		z = apow(y,b)ln(x+c)



Gary Cler's Custom Equation Transform With Offset 3D		z = a * (dx + f)^b * (gy + h)^c + Offset
Gary Cler's Custom Equation With Offset 3D		z = a * x^b * y^c + Offset
Gaussian Curvature Of Paraboloid With Offset 3D		z = 4a² / (1 + 4a² * (x² + y²))² + Offset
Gaussian Curvature Of Richmond's Minimal Surface With Offset 3D		z = -1.0 * a * (x² + y²)³ / (b + (x² + y²)²)⁴ + Offset
Gaussian Curvature Of Whitney's Umbrella A With Offset 3D		z = -1.0 * a * y² / (x² + a * (y² + y⁴))² + Offset
Gaussian Curvature Of Whitney's Umbrella B With Offset 3D		z = -1.0 * a * x² / (y² + a * (x² + x⁴))² + Offset
Liping Zheng's core loss coefficients With Offset 3D		z = ax²y + bx²y² + cx^1.5y^1.5 + Offset
Mean Curvature Of Paraboloid With Offset 3D		z = 2 * (a + 2a³ * (x² + y²)) / (1 + 4a² * (x² + y²))^1.5 + Offset
Mean Curvature Of Whitney's Umbrella A With Offset 3D		z = -1.0 * x * (a + b * y²) / (x² + a * (y² + y⁴))^1.5 + Offset
Mean Curvature Of Whitney's Umbrella B With Offset 3D		z = -1.0 * y * (a + b * x²) / (y² + a * (x² + x⁴))^1.5 + Offset
Menn's Surface A With Offset 3D		z = ax⁴ + bx²y - cy² + Offset
Menn's Surface B With Offset 3D		z = ay⁴ + by²x - cy² + Offset
Monkey Saddle A With Offset 3D		z = ax³ - bxy² + Offset
Monkey Saddle B With Offset 3D		z = ay³ - byx² + Offset
Monkey Saddle Transform A With Offset 3D		z = a(cx + d)³ - b(cx + d)(fy + g)² + Offset
Monkey Saddle Transform B With Offset 3D		z = a(cy + d)³ - b(cy + d)(ex + f)² + Offset
Paraboloid Transform With Offset 3D		z = a * ((bx + c)² + (dy + f)²) + Offset
Paraboloid With Offset 3D		z = a * (x² + y²) + Offset
Paschen's Law for Breakdown Field Strength With Offset 3D		Ebreakdown = pressure * (a / (ln(pressure * distance) + b)) + Offset
Paschen's Law for Breakdown Voltage With Offset 3D		Vbreakdown = a(pressure * distance) / (ln(pressure * distance) + b) + Offset
Simple Equation 01 With Offset 3D		z = apow(x,b)pow(y,c) + Offset
Simple Equation 02 With Offset 3D		z = x/(a+b*y) + Offset
Simple Equation 03 With Offset 3D		z = y/(a+b*x) + Offset
Simple Equation 04 With Offset 3D		z = apow(x,by) + Offset
Simple Equation 05 With Offset 3D		z = apow(y,bx) + Offset
Simple Equation 06 With Offset 3D		z = a*pow(x,b/y) + Offset
Simple Equation 07 With Offset 3D		z = a*pow(y,b/x) + Offset
Simple Equation 08 With Offset 3D		z = ax+bpow(y,2.0) + Offset
Simple Equation 09 With Offset 3D		z = ay+bpow(x,2.0) + Offset
Simple Equation 10 With Offset 3D		z = x/(a+b*pow(y,2.0)) + Offset
Simple Equation 11 With Offset 3D		z = y/(a+b*pow(x,2.0)) + Offset
Simple Equation 12 With Offset 3D		z = apow(b,x)pow(y,c) + Offset
Simple Equation 13 With Offset 3D		z = apow(b,y)pow(x,c) + Offset
Simple Equation 14 With Offset 3D		z = apow(xy,b) + Offset
Simple Equation 15 With Offset 3D		z = a*pow(x/y,b) + Offset
Simple Equation 16 With Offset 3D		z = a(pow(b,1.0/x))pow(y,c) + Offset
Simple Equation 17 With Offset 3D		z = apow(b,1.0/y)pow(x,c) + Offset
Simple Equation 18 With Offset 3D		z = apow(x/b,c)exp(y/b) + Offset
Simple Equation 19 With Offset 3D		z = apow(y/b,c)exp(x/b) + Offset
Simple Equation 20 With Offset 3D		z = apow(x,b+cy) + Offset
Simple Equation 21 With Offset 3D		z = apow(y,b+cx) + Offset
Simple Equation 22 With Offset 3D		z = a*pow(x,b+c/y) + Offset
Simple Equation 23 With Offset 3D		z = a*pow(y,b+c/x) + Offset
Simple Equation 24 With Offset 3D		z = apow(x,b+cln(y)) + Offset
Simple Equation 25 With Offset 3D		z = apow(y,b+cln(x)) + Offset
Simple Equation 26 With Offset 3D		z = a*pow(y,b+c/ln(x)) + Offset
Simple Equation 27 With Offset 3D		z = a*pow(x,b+c/ln(y)) + Offset
Simple Equation 28 With Offset 3D		z = aexp(bx+c*pow(y,2.0)) + Offset
Simple Equation 29 With Offset 3D		z = aexp(by+c*pow(x,2.0)) + Offset
Simple Equation 30 With Offset 3D		z = aexp(b/x+cy) + Offset
Simple Equation 31 With Offset 3D		z = aexp(b/y+cx) + Offset
Simple Equation 32 With Offset 3D		z = (a+x)/(b+c*y) + Offset
Simple Equation 33 With Offset 3D		z = (a+y)/(b+c*x) + Offset
Simple Equation 34 With Offset 3D		z = (a+x)/(b+c*pow(y,2.0)) + Offset
Simple Equation 35 With Offset 3D		z = (a+y)/(b+c*pow(x,2.0)) + Offset
Simple Equation 36 With Offset 3D		z = a(exp(bx)-exp(c*y)) + Offset
Simple Equation 37 With Offset 3D		z = apow(x,bpow(y,c)) + Offset
Simple Equation 38 With Offset 3D		z = apow(y,bpow(x,c)) + Offset
Simple Equation 39 With Offset 3D		z = x/(a+by+cpow(y,0.5)) + Offset
Simple Equation 40 With Offset 3D		z = y/(a+bx+cpow(x,0.5)) + Offset
Simple Equation 41 With Offset 3D		z = exp(a+b/x+c*ln(y)) + Offset
Simple Equation 42 With Offset 3D		z = exp(a+b/y+c*ln(x)) + Offset
Simple Equation 43 With Offset 3D		z = apow(x,b)ln(y+c) + Offset
Simple Equation 44 With Offset 3D		z = apow(y,b)ln(x+c) + Offset

Sag For Asphere 0 3D		s² = x² + y² z = (s²/r) / (1+(1-(k+1)(s/r)²)^1/2) + offset
Sag For Asphere 0 Borisovsky 3D		s² = (x - a)² + (y - b)² z = (s²/r) / (1+(1-(k+1)(s/r)²)^1/2) + offset



Sag For Asphere 0 Borisovsky With Offset 3D		s² = (x - a)² + (y - b)² z = (s²/r) / (1+(1-(k+1)(s/r)²)^1/2) + offset + Offset

Extreme Value A 3D		z = a * exp(-exp(-(x-b)/c)-(x-b)/c+1) + d * exp(-exp(-(y-f)/g)-(y-f)/g+1)
Extreme Value B 3D		z = a * exp(-exp(-(x-b)/c)-(x-b)/c+1) * exp(-exp(-(y-d)/f)-(y-d)/f+1)
Gaussian A 3D		z = a * exp(-0.5 * (((x-b)/c)² + ((y-d)/f)²))
Gaussian B 3D		z = a * exp(-0.5 * (((x-b)/c)²)) + d * exp(-0.5 * (((y-f)/g)²))
Log-Normal A 3D		z = a * exp(-0.5 * (((ln(x)-b)/c)² + ((ln(y)-d)/f)²))
Log-Normal B 3D		z = a * exp(-0.5 * (((ln(x)-b)/c)²)) + d * exp(-0.5 * (((ln(y)-f)/g)²))
Logistic A 3D		z = 4a * exp(-((x-b)/c))/((1+exp(-((x-b)/c)))²) + 4d * exp(-((y-f)/g))/((1+exp(-((y-f)/g)))²)
Logistic B 3D		z = 16a * exp(-((x-b)/c)-((y-d)/f)) / ((1+exp(-((x-b)/c)))² * (1+exp(-((y-d)/f)))²)
Lorentzian A 3D		z = a / ((1+((x-b)/c)²)*(1+((y-d)/f)²))
Lorentzian B 3D		z = a / (1+((x-b)/c)²) + d * (1+((y-f)/g)²)



Extreme Value A With Offset 3D		z = a * exp(-exp(-(x-b)/c)-(x-b)/c+1) + d * exp(-exp(-(y-f)/g)-(y-f)/g+1) + Offset
Extreme Value B With Offset 3D		z = a * exp(-exp(-(x-b)/c)-(x-b)/c+1) * exp(-exp(-(y-d)/f)-(y-d)/f+1) + Offset
Gaussian A With Offset 3D		z = a * exp(-0.5 * (((x-b)/c)² + ((y-d)/f)²)) + Offset
Gaussian B With Offset 3D		z = a * exp(-0.5 * (((x-b)/c)²)) + d * exp(-0.5 * (((y-f)/g)²)) + Offset
Log-Normal A With Offset 3D		z = a * exp(-0.5 * (((ln(x)-b)/c)² + ((ln(y)-d)/f)²)) + Offset
Log-Normal B With Offset 3D		z = a * exp(-0.5 * (((ln(x)-b)/c)²)) + d * exp(-0.5 * (((ln(y)-f)/g)²)) + Offset
Logistic A With Offset 3D		z = 4a * exp(-((x-b)/c))/((1+exp(-((x-b)/c)))²) + 4d * exp(-((y-f)/g))/((1+exp(-((y-f)/g)))²) + Offset
Logistic B With Offset 3D		z = 16a * exp(-((x-b)/c)-((y-d)/f)) / ((1+exp(-((x-b)/c)))² * (1+exp(-((y-d)/f)))²) + Offset
Lorentzian A With Offset 3D		z = a / ((1+((x-b)/c)²)*(1+((y-d)/f)²)) + Offset
Lorentzian B With Offset 3D		z = a / (1+((x-b)/c)²) + d * (1+((y-f)/g)²) + Offset

Full Cubic 3D		z = a + bx + cy + dx² + fy² + gx³ + hy³ + ixy + jx²y + kxy²
Full Quadratic 3D		z = a + bx + cy + dx² + fy² + gxy
Linear 3D		z = a + bx + cy
Simplified Cubic 3D		z = a + bx + cy + dx² + fy² + gx³ + hy³
Simplified Quadratic 3D		z = a + bx + cy + dx² + fy²
User-Selectable Polynomial 3D		z = user-selectable polynomial

Power A 3D		z = a * (x^b + y^c)
Power A Transform 3D		z = a * ((dx + f)^b + (gy + h)^c)
Power B 3D		z = a + x^b + y^c
Power B Transform 3D		z = a + (dx + f)^b + (gy + h)^c
Power C 3D		z = a + x^b * y^c
Power C Transform 3D		z = a + (dx + f)^b * (gy + h)^c
Power D 3D		z = ax^b + cy^d
Power D Transform 3D		z = a(fx + g)^b + c(hy + i)^d
Power E 3D		z = a * x^b * y^c
Power E Transform 3D		z = a * (dx + f)^b * (gy + h)^c



Power A Transform With Offset 3D		z = a * ((dx + f)^b + (gy + h)^c) + Offset
Power A With Offset 3D		z = a * (x^b + y^c) + Offset
Power D Transform With Offset 3D		z = a(fx + g)^b + c(hy + i)^d + Offset
Power D With Offset 3D		z = ax^b + cy^d + Offset
Power E Transform With Offset 3D		z = a * (dx + f)^b * (gy + h)^c + Offset
Power E With Offset 3D		z = a * x^b * y^c + Offset

Rational A 3D		z = (a + bx + cy)/(1 + dx + fy)
Rational B 3D		z = (a + bln(x) + cln(y))/(1 + dx + fy)
Rational C 3D		z = (a + bexp(x) + cln(y))/(1 + dx + fy)
Rational D 3D		z = (a + bln(x) + cexp(y))/(1 + dx + fy)
Rational E 3D		z = (a + bexp(x) + cexp(y))/(1 + dx + fy)
Rational F 3D		z = (a + bx + cy)/(1 + dln(x) + fln(y))
Rational G 3D		z = (a + bx + cy)/(1 + dexp(x) + fln(y))
Rational H 3D		z = (a + bx + cy)/(1 + dln(x) + fexp(y))
Rational I 3D		z = (a + bx + cy)/(1 + dexp(x) + fexp(y))
Rational J 3D		z = (a + bln(x) + cln(y))/(1 + dln(x) + fln(y))
Rational K 3D		z = (a + bexp(x) + cln(y))/(1 + dexp(x) + fln(y))
Rational L 3D		z = (a + bln(x) + cexp(y))/(1 + dln(x) + fexp(y))
Rational M 3D		z = (a + bexp(x) + cexp(y))/(1 + dexp(x) + fexp(y))
Rational N 3D		z = (a + bx + cy + dxy)/(1 + fx + gy + hxy)
Rational O 3D		z = (a + bln(x) + cln(y) + d*ln(x)ln(y))/(1 + fx + gy + hxy)
Rational P 3D		z = (a + bexp(x) + cln(y) + d*exp(x)ln(y))/(1 + fx + gy + hxy)
Rational Q 3D		z = (a + bln(x) + cexp(y) + d*ln(x)exp(y))/(1 + fx + gy + hxy)
Rational R 3D		z = (a + bexp(x) + cexp(y) + d*exp(x)exp(y))/(1 + fx + gy + hxy)
Rational S 3D		z = (a + bx + cy + dxy)/(1 + fln(x) + gln(y) + hln(x)ln(y))
Rational T 3D		z = (a + bx + cy + dxy)/(1 + fexp(x) + gln(y) + hexp(x)ln(y))
Rational U 3D		z = (a + bx + cy + dxy)/(1 + fln(x) + gexp(y) + hln(x)exp(y))
Rational V 3D		z = (a + bx + cy + dxy)/(1 + fexp(x) + gexp(y) + hexp(x)exp(y))
Rational W 3D		z = (a + bln(x) + cln(y) + dln(x)ln(y))/(1 + fln(x) + gln(y) + hln(x)ln(y))
Rational X 3D		z = (a + bexp(x) + cln(y) + dexp(x)ln(y))/(1 + fexp(x) + gln(y) + hexp(x)ln(y))
Rational Y 3D		z = (a + bln(x) + cexp(y) + dln(x)exp(y))/(1 + fln(x) + gexp(y) + hln(x)exp(y))
Rational Z 3D		z = (a + bexp(x) + cexp(y) + dexp(x)exp(y))/(1 + fexp(x) + gexp(y) + hexp(x)exp(y))



Rational A With Offset 3D		z = (a + bx + cy)/(1 + dx + fy) + Offset
Rational B With Offset 3D		z = (a + bln(x) + cln(y))/(1 + dx + fy) + Offset
Rational C With Offset 3D		z = (a + bexp(x) + cln(y))/(1 + dx + fy) + Offset
Rational D With Offset 3D		z = (a + bln(x) + cexp(y))/(1 + dx + fy) + Offset
Rational E With Offset 3D		z = (a + bexp(x) + cexp(y))/(1 + dx + fy) + Offset
Rational F With Offset 3D		z = (a + bx + cy)/(1 + dln(x) + fln(y)) + Offset
Rational G With Offset 3D		z = (a + bx + cy)/(1 + dexp(x) + fln(y)) + Offset
Rational H With Offset 3D		z = (a + bx + cy)/(1 + dln(x) + fexp(y)) + Offset
Rational I With Offset 3D		z = (a + bx + cy)/(1 + dexp(x) + fexp(y)) + Offset
Rational J With Offset 3D		z = (a + bln(x) + cln(y))/(1 + dln(x) + fln(y)) + Offset
Rational K With Offset 3D		z = (a + bexp(x) + cln(y))/(1 + dexp(x) + fln(y)) + Offset
Rational L With Offset 3D		z = (a + bln(x) + cexp(y))/(1 + dln(x) + fexp(y)) + Offset
Rational M With Offset 3D		z = (a + bexp(x) + cexp(y))/(1 + dexp(x) + fexp(y)) + Offset
Rational N With Offset 3D		z = (a + bx + cy + dxy)/(1 + fx + gy + hxy) + Offset
Rational O With Offset 3D		z = (a + bln(x) + cln(y) + d*ln(x)ln(y))/(1 + fx + gy + hxy) + Offset
Rational P With Offset 3D		z = (a + bexp(x) + cln(y) + d*exp(x)ln(y))/(1 + fx + gy + hxy) + Offset
Rational Q With Offset 3D		z = (a + bln(x) + cexp(y) + d*ln(x)exp(y))/(1 + fx + gy + hxy) + Offset
Rational R With Offset 3D		z = (a + bexp(x) + cexp(y) + d*exp(x)exp(y))/(1 + fx + gy + hxy) + Offset
Rational S With Offset 3D		z = (a + bx + cy + dxy)/(1 + fln(x) + gln(y) + hln(x)ln(y)) + Offset
Rational T With Offset 3D		z = (a + bx + cy + dxy)/(1 + fexp(x) + gln(y) + hexp(x)ln(y)) + Offset
Rational U With Offset 3D		z = (a + bx + cy + dxy)/(1 + fln(x) + gexp(y) + hln(x)exp(y)) + Offset
Rational V With Offset 3D		z = (a + bx + cy + dxy)/(1 + fexp(x) + gexp(y) + hexp(x)exp(y)) + Offset
Rational W With Offset 3D		z = (a + bln(x) + cln(y) + dln(x)ln(y))/(1 + fln(x) + gln(y) + hln(x)ln(y)) + Offset
Rational X With Offset 3D		z = (a + bexp(x) + cln(y) + dexp(x)ln(y))/(1 + fexp(x) + gln(y) + hexp(x)ln(y)) + Offset
Rational Y With Offset 3D		z = (a + bln(x) + cexp(y) + dln(x)exp(y))/(1 + fln(x) + gexp(y) + hln(x)exp(y)) + Offset
Rational Z With Offset 3D		z = (a + bexp(x) + cexp(y) + dexp(x)exp(y))/(1 + fexp(x) + gexp(y) + hexp(x)exp(y)) + Offset

Roman Surface (minus) 3D		z = (k(y²-x²) - (x²-y²)sqrt(k²-x²-y²)) / (2(x²+y²))
Roman Surface (minus) Offset XY 3D		z = (k((y+b)²-(x+a)²) - ((x+a)²-(y+b)²)sqrt(k²-(x+a)²-(y+b)²)) / (2((x+a)²+(y+b)²))
Roman Surface (minus) Scaled And Offset XY 3D		z = (k((cy+d)²-(ax+b)²) - ((ax+b)²-(cy+d)²)sqrt(k²-(ax+b)²-(cy+d)²)) / (2((ax+b)²+(cy+d)²))
Roman Surface (plus) 3D		z = (k(y²-x²) + (x²-y²)sqrt(k²-x²-y²)) / (2(x²+y²))
Roman Surface (plus) Offset XY 3D		z = (k((y+b)²-(x+a)²) + ((x+a)²-(y+b)²)sqrt(k²-(x+a)²-(y+b)²)) / (2((x+a)²+(y+b)²))
Roman Surface (plus) Scaled And Offset XY 3D		z = (k((cy+d)²-(ax+b)²) + ((ax+b)²-(cy+d)²)sqrt(k²-(ax+b)²-(cy+d)²)) / (2((ax+b)²+(cy+d)²))



Roman Surface (minus) Offset XY With Offset 3D		z = (k((y+b)²-(x+a)²) - ((x+a)²-(y+b)²)sqrt(k²-(x+a)²-(y+b)²)) / (2((x+a)²+(y+b)²)) + Offset
Roman Surface (minus) Scaled And Offset XY With Offset 3D		z = (k((cy+d)²-(ax+b)²) - ((ax+b)²-(cy+d)²)sqrt(k²-(ax+b)²-(cy+d)²)) / (2((ax+b)²+(cy+d)²)) + Offset
Roman Surface (minus) With Offset 3D		z = (k(y²-x²) - (x²-y²)sqrt(k²-x²-y²)) / (2(x²+y²)) + Offset
Roman Surface (plus) Offset XY With Offset 3D		z = (k((y+b)²-(x+a)²) + ((x+a)²-(y+b)²)sqrt(k²-(x+a)²-(y+b)²)) / (2((x+a)²+(y+b)²)) + Offset
Roman Surface (plus) Scaled And Offset XY With Offset 3D		z = (k((cy+d)²-(ax+b)²) + ((ax+b)²-(cy+d)²)sqrt(k²-(ax+b)²-(cy+d)²)) / (2((ax+b)²+(cy+d)²)) + Offset
Roman Surface (plus) With Offset 3D		z = (k(y²-x²) + (x²-y²)sqrt(k²-x²-y²)) / (2(x²+y²)) + Offset

Andrea Prunotto Sigmoid A 3D		z = a0 + (a1 / (1.0 + exp(a2 * (x + a3 + a4 * y + a5 * x * y))))
Andrea Prunotto Sigmoid B 3D		z = a0 + (a1 / (1.0 + exp(a2 * (x * a3 + a4 * y + a5 * x * y))))
Fraser Smith Sigmoid 3D		z = 1.0 / ((1.0 + exp(a - bx)) * (1.0 + e(c - dy)))
Sigmoid 3D		z = a / ((1.0 + exp(b - cx)) * (1.0 + exp(d - fy)))



Fraser Smith Sigmoid With Offset 3D		z = 1.0 / ((1.0 + exp(a - bx)) * (1.0 + e(c - dy))) + Offset
Sigmoid With Offset 3D		z = a / ((1.0 + exp(b - cx)) * (1.0 + exp(d - fy))) + Offset

Taylor Series A 3D		z = a + bx + cy + dx² + fy² + gxy
Taylor Series B 3D		z = a + bln(x) + cy + dln(x)² + fy² + gln(x)y
Taylor Series C 3D		z = a + bx + cln(y) + dx² + fln(y)² + gxln(y)
Taylor Series D 3D		z = a + bln(x) + cln(y) + dln(x)² + fln(y)² + gln(x)ln(y)
Taylor Series E 3D		z = a + b/x + cy + d/x² + fy² + gy/x
Taylor Series F 3D		z = a + b/ln(x) + cy + d/ln(x)² + fy² + gy/ln(x)
Taylor Series G 3D		z = a + b/x + cln(y) + d/x² + fln(y)² + g*ln(y)/x
Taylor Series H 3D		z = a + b/ln(x) + cln(y) + d/ln(x)² + fln(y)² + g*ln(y)/ln(x)
Taylor Series I 3D		z = a + bx + c/y + dx² + f/y² + gx/y
Taylor Series J 3D		z = a + bln(x) + c/y + dln(x)² + f/y² + g*ln(x)/y
Taylor Series K 3D		z = a + bx + c/ln(y) + dx² + f/ln(y)² + gx/ln(y)
Taylor Series L 3D		z = a + bln(x) + c/ln(y) + dln(x)² + f/ln(y)² + g*ln(x)/ln(y)
Taylor Series M 3D		z = a + b/x + c/y + d/x² + f/y² + g/(xy)
Taylor Series N 3D		z = a + b/ln(x) + c/y + d/ln(x)² + f/y² + g/(ln(x)*y)
Taylor Series O 3D		z = a + b/x + c/ln(y) + d/x² + f/ln(y)² + g/(x*ln(y))
Taylor Series P 3D		z = a + b/ln(x) + c/ln(y) + d/ln(x)² + f/ln(y)² + g/(ln(x)*ln(y))

Cosh A [radians] 3D		z = a * cosh(x) + b * cosh(y)
Cosh A [radians] Transform 3D		z = a * cosh(bx+c) + d * cosh(fy+g)
Cosh B [radians] 3D		z = a * cosh(x) * cosh(y)
Cosh B [radians] Transform 3D		z = a * cosh(bx+c) * cosh(dy+f)
Cosh XY [radians] 3D		z = a * cosh(xy)
Cosh XY [radians] Transform 3D		z = a * cosh(b * xy + c)
Reza's Custom Equation One [radians] 3D		z = (cos(ax - by) + sin(cx - dy))ⁿ - (cos(fx - gy) + sin(hx- iy))ⁿ
Reza's Custom Equation Two [radians] 3D		z = abs(cos((A(x+B)) + C(y+D))) + abs(cos((A(x+B)) - C(y+D))) - (sin(Ex+F))² - (sin(Ey+G))²
Sine A [radians] 3D		z = a * sin(x) + b * sin(y)
Sine A [radians] Transform 3D		z = a * sin(bx+c) + d * sin(fy+g)
Sine B [radians] 3D		z = a * sin(x) * sin(y)
Sine B [radians] Transform 3D		z = a * sin(bx+c) * sin(dy+f)
Sine XY [radians] 3D		z = a * sin(xy)
Sine XY [radians] Transform 3D		z = a * sin(b * xy + c)
Tan A [radians] 3D		z = a * tan(x) + b * tan(y)
Tan A [radians] Transform 3D		z = a * tan(bx + c) + d * tan(fy + g)
Tan B [radians] 3D		z = a * tan(x) * tan(y)
Tan B [radians] Transform 3D		z = a * tan(bx + c) * tan(dy + f)
Tan XY [radians] 3D		z = a * tan(xy)
Tan XY [radians] Transform 3D		z = a * tan(b * xy + c)



Cosh A [radians] Transform With Offset 3D		z = a * cosh(bx+c) + d * cosh(fy+g) + Offset
Cosh A [radians] With Offset 3D		z = a * cosh(x) + b * cosh(y) + Offset
Cosh B [radians] Transform With Offset 3D		z = a * cosh(bx+c) * cosh(dy+f) + Offset
Cosh B [radians] With Offset 3D		z = a * cosh(x) * cosh(y) + Offset
Cosh XY [radians] Transform With Offset 3D		z = a * cosh(b * xy + c) + Offset
Cosh XY [radians] With Offset 3D		z = a * cosh(xy) + Offset
Reza's Custom Equation One [radians] With Offset 3D		z = (cos(ax - by) + sin(cx - dy))ⁿ - (cos(fx - gy) + sin(hx- iy))ⁿ + Offset
Reza's Custom Equation Two [radians] With Offset 3D		z = abs(cos((A(x+B)) + C(y+D))) + abs(cos((A(x+B)) - C(y+D))) - (sin(Ex+F))² - (sin(Ey+G))² + Offset
Sine A [radians] Transform With Offset 3D		z = a * sin(bx+c) + d * sin(fy+g) + Offset
Sine A [radians] With Offset 3D		z = a * sin(x) + b * sin(y) + Offset
Sine B [radians] Transform With Offset 3D		z = a * sin(bx+c) * sin(dy+f) + Offset
Sine B [radians] With Offset 3D		z = a * sin(x) * sin(y) + Offset
Sine XY [radians] Transform With Offset 3D		z = a * sin(b * xy + c) + Offset
Sine XY [radians] With Offset 3D		z = a * sin(xy) + Offset
Tan A [radians] Transform With Offset 3D		z = a * tan(bx + c) + d * tan(fy + g) + Offset
Tan A [radians] With Offset 3D		z = a * tan(x) + b * tan(y) + Offset
Tan B [radians] Transform With Offset 3D		z = a * tan(bx + c) * tan(dy + f) + Offset
Tan B [radians] With Offset 3D		z = a * tan(x) * tan(y) + Offset
Tan XY [radians] With Offset 3D		z = a * tan(xy) + Offset

List Of All 2D Equations	-	Standard Versions Only
List Of All 2D Equations	-	Including Extended Versions

List Of All 3D Equations	-	Standard Versions Only
List Of All 3D Equations	-	Including Extended Versions

February 2012	Corrected Function Finders when using 2D Rationals. Corrected HTML output for 2D Rationals.

January 2012	Corrected error handling for rare numeric errors, and corrected handling of user text containing comma separators (see the Hall Of Fame). All redesigned fitting code tests are complete and new code moved to main web site. User Selectable Polynomial redesign code integration is complete. User Defined Function redesign code integration is complete. 2D and 3D Spline redesign code integration is complete. All 2D and 3D named equations from the fitting code redesign are integrated into the development web site - progress continues to be excellent.

December 2011	Final debugging complete and user examples written for the redesigned fitting code - now integrating the new code into the web site. All equations in the redesigned fitting code are complete, starting on final debugging.