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2D Astrophysics

    King 14 2D   f(x) = k * [1/sqrt(1 + (x/r_c) ** 2) - 1/sqrt(1 + (r_t/r_c) ** 2)] ** 2   [web citation]
    King 14 With Offset 2D   f(x) = k * [1/sqrt(1 + (x/r_c) ** 2) - 1/sqrt(1 + (r_t/r_c) ** 2)] ** 2 + Offset   [web citation]
     




     


2D BioScience

    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 * cx))
    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 + 10x-c)
    Dose-Response B 2D   y = b + (a-b) / (1 + 10c-x)
    Dose-Response C 2D   y = b + (a-b) / (1 + 10d*(x-c))
    Dose-Response D 2D   y = b + (a-b) / (1 + 10d*(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 = axb / (c + xb)
    Jorge Rabinovich Population Growth 2D   Y = (P1*CC) / (P1 + (CC-P1)*exp(-R*X))
    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 + (B4*D2)) * 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]
    Plant Disease Weibull Model Scaled 2D   y = Scale * (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 * xb
    Scaled Power Transform 2D   y = a * (cx + d)b
    Standard 3-Parameter Logistic Equation 2D   y = d + (a - d) / (1 + (x / c))
    Standard 4-Parameter Logistic Equation 2D   y = d + (a - d) / (1 + (x / c)b)
    Standard 5-Parameter 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) = Linf * (1.0 - exp(-K * (t-tzero)))
     

     
    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 * cx)) + 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 = axb / (c + xb) + Offset
    Jorge Rabinovich Population Growth With Offset 2D   Y = (P1*CC) / (P1 + (CC-P1)*exp(-R*X)) + 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 Scaled With Offset 2D   y = Scale * (1 - exp(-1.0 * ((time - a) / b)c)) + 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 * xb + 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) = Linf * (1.0 - exp(-K * (t-tzero))) + Offset
     




     


2D BurkardtCollectionBased

    Arcsin CDF Based 2D   y = a * asin( (bx+c) / d)   [web citation]
    Arcsin PDF Based 2D   y = a / sqrt( b2 - x2)   [web citation]
    Bradford CDF Based A 2D   y = ln(1.0+c*(x-a)/(b-a)) / ln(c+1.0)   [web citation]
    Bradford CDF Based B 2D   y = d * ln(1.0+c*(x-a)/(b-a)) / ln(c+1.0)   [web citation]
    Bradford PDF Based 2D   y = c / (( c * (x-a) + b-a) * ln(c + 1.0))   [web citation]
    Burr CDF Based A 2D   y = 1.0 / ( 1.0 + ( b / ( x-a ))c)d   [web citation]
    Burr CDF Based B 2D   y = f / ( 1.0 + ( b / ( x-a ))c)d   [web citation]
    Burr PDF Based 2D   y = (c*d/b) * ((x-a)/b)^(-c-1.0) * (1.0+((x-a)/b)^(-c))^(-d-1.0)   [web citation]
    Dipole CDF Based 2D   y = a * arctan(x) + b/x   [web citation]
    Exponential PDF Based 2D   y = (1.0/b) * exp((a-x)/b)   [web citation]
    Exponential PDF Based Scaled 2D   y = Scale * (1.0/b) * exp((a-x)/b)   [web citation]
    Extreme Values CDF Based A 2D   y = exp(-exp(-((x-a)/b)))   [web citation]
    Extreme Values CDF Based B 2D   y = c * exp(-exp(-((x-a)/b)))   [web citation]
    Extreme Values PDF Based 2D   y = (1.0/b) * exp(((a-x)/b)-exp((a-x)/b))   [web citation]
    Fisk CDF Based A 2D   y = 1.0 / (1.0+(b/(x-a))c)   [web citation]
    Fisk CDF Based B 2D   y = d / (1.0+(b/(x-a))c)   [web citation]
    Fisk PDF Based 2D   y = (c/b) * ((x-a)/b)(c-1.0) / (1.0 + ((x-a)/b)c)2   [web citation]
    Folded Normal PDF Based 2D   y = c * (1/b) * cosh(a*x/b2) * exp(-0.5 * (x2 + a2)/b2)   [web citation]
    Frechet CDF Based A 2D   y = exp(-1.0 / xa)   [web citation]
    Frechet CDF Based B 2D   y = b * exp(-1.0 / xa)   [web citation]
    Frechet PDF Based A 2D   y = exp(- 1.0 / xa) / x( a + 1.0)   [web citation]
    Frechet PDF Based B 2D   y = b * exp(- 1.0 / xa) / x( a + 1.0)   [web citation]
    Genlogistic CDF Based A 2D   y = (1.0/(1.0+exp(-(x-a)/b)))c   [web citation]
    Genlogistic CDF Based B 2D   y = (d/(1.0+exp(-(x-a)/b)))c   [web citation]
    Genlogistic PDF Based 2D   y = (c/b) * exp(-((x-a)/b)) / (1.0+exp(-((x-a)/b)))(c+1.0)   [web citation]
    Gompertz CDF Based 2D   y = 1.0 - exp(-b * (ax-1.0) / ln(a))   [web citation]
    Gompertz CDF Based Scaled 2D   y = Scale * (1.0 - exp(-b * (ax-1.0) / ln(a)))   [web citation]
    Gumbel CDF Based 2D   y = a * exp(-exp(-x))   [web citation]
    Gumbel PDF Based 2D   y = a * exp(-x-exp(-x))   [web citation]
    Half Normal PDF Based 2D   y = c * ( 1.0/b) * exp(-0.5*((x-a)/b)*((x-a)/b))   [web citation]
    Inverse_gaussian PDF Based A 2D   y = sqrt(b/(c*x3))*exp(-b*(x-a)2 / (2.0*a2*x))   [web citation]
    Inverse_gaussian PDF Based B 2D   y = sqrt(b/(c*x3))*exp(-b*(x-a)2 / (2.0*a2*x))   [web citation]
    Levy PDF Based 2D   y = b0.5 * exp(-b/(2.0*(x-a)))/sqrt((x-a)3)   [web citation]
    Levy PDF Based Scaled 2D   y = Scale * b0.5 * exp(-b/(2.0*(x-a)))/sqrt((x-a)3)   [web citation]
    Log Normal PDF Based 2D   y = exp(-0.5*((ln(x)-a)/b)2) / (b*x)   [web citation]
    Logistic PDF Based 2D   y = exp((a-x)/b) / (b*(1.0+exp((a-x)/b))2)   [web citation]
    Pareto PDF Based 2D   y = b * ab / x(b+1.0)   [web citation]
    Power PDF Based 2D   y = (a/b) * (x/b)(a-1.0)   [web citation]
    Rayleigh CDF Based A 2D   y = 1.0 - exp(-x2/(2.0*a2))   [web citation]
    Rayleigh CDF Based B 2D   y = b * exp(-x2/(2.0*a2))   [web citation]
    Rayleigh PDF Based 2D   y = (x/a2) * exp(-x2/(2.0*a2))   [web citation]
    Rayleigh PDF Based Scaled 2D   y = Scale * (x/a2) * exp(-x2/(2.0*a2))   [web citation]
    Reciprocal CDF Based 2D   y = ln(a/x) / ln(a/b)   [web citation]
    Sech CDF Based 2D   y = c * atan(exp((x-a)/b))   [web citation]
    Weibull CDF Based A 2D   y = 1.0 / exp(((x-a)/b)c)   [web citation]
    Weibull CDF Based B 2D   y = d / exp(((x-a)/b)c)   [web citation]
    Weibull PDF Based 2D   y = (c/b) * ((x-a)/b)(c-1.0) / exp(((x-a)/b)c)   [web citation]
     

     
    Arcsin CDF Based With Offset 2D   y = a * asin( (bx+c) / d) + Offset   [web citation]
    Arcsin PDF Based With Offset 2D   y = a / sqrt( b2 - x2) + Offset   [web citation]
    Bradford CDF Based A With Offset 2D   y = ln(1.0+c*(x-a)/(b-a)) / ln(c+1.0) + Offset   [web citation]
    Bradford CDF Based B With Offset 2D   y = d * ln(1.0+c*(x-a)/(b-a)) / ln(c+1.0) + Offset   [web citation]
    Bradford PDF Based With Offset 2D   y = c / (( c * (x-a) + b-a) * ln(c + 1.0)) + Offset   [web citation]
    Burr CDF Based A With Offset 2D   y = 1.0 / ( 1.0 + ( b / ( x-a ))c)d + Offset   [web citation]
    Burr CDF Based B With Offset 2D   y = f / ( 1.0 + ( b / ( x-a ))c)d + Offset   [web citation]
    Burr PDF Based With Offset 2D   y = (c*d/b) * ((x-a)/b)^(-c-1.0) * (1.0+((x-a)/b)^(-c))^(-d-1.0) + Offset   [web citation]
    Dipole CDF Based With Offset 2D   y = a * arctan(x) + b/x + Offset   [web citation]
    Exponential PDF Based Scaled With Offset 2D   y = Scale * (1.0/b) * exp((a-x)/b) + Offset   [web citation]
    Exponential PDF Based With Offset 2D   y = (1.0/b) * exp((a-x)/b) + Offset   [web citation]
    Extreme Values CDF Based A With Offset 2D   y = exp(-exp(-((x-a)/b))) + Offset   [web citation]
    Extreme Values CDF Based B With Offset 2D   y = c * exp(-exp(-((x-a)/b))) + Offset   [web citation]
    Extreme Values PDF Based With Offset 2D   y = (1.0/b) * exp(((a-x)/b)-exp((a-x)/b)) + Offset   [web citation]
    Fisk CDF Based A With Offset 2D   y = 1.0 / (1.0+(b/(x-a))c) + Offset   [web citation]
    Fisk CDF Based B With Offset 2D   y = d / (1.0+(b/(x-a))c) + Offset   [web citation]
    Fisk PDF Based With Offset 2D   y = (c/b) * ((x-a)/b)(c-1.0) / (1.0 + ((x-a)/b)c)2 + Offset   [web citation]
    Folded Normal PDF Based With Offset 2D   y = c * (1/b) * cosh(a*x/b2) * exp(-0.5 * (x2 + a2)/b2) + Offset   [web citation]
    Frechet CDF Based A With Offset 2D   y = exp(-1.0 / xa) + Offset   [web citation]
    Frechet CDF Based B With Offset 2D   y = b * exp(-1.0 / xa) + Offset   [web citation]
    Frechet PDF Based A With Offset 2D   y = exp(- 1.0 / xa) / x( a + 1.0) + Offset   [web citation]
    Frechet PDF Based B With Offset 2D   y = b * exp(- 1.0 / xa) / x( a + 1.0) + Offset   [web citation]
    Genlogistic CDF Based A With Offset 2D   y = (1.0/(1.0+exp(-(x-a)/b)))c + Offset   [web citation]
    Genlogistic CDF Based B With Offset 2D   y = (d/(1.0+exp(-(x-a)/b)))c + Offset   [web citation]
    Genlogistic PDF Based With Offset 2D   y = (c/b) * exp(-((x-a)/b)) / (1.0+exp(-((x-a)/b)))(c+1.0) + Offset   [web citation]
    Gompertz CDF Based Scaled With Offset 2D   y = Scale * (1.0 - exp(-b * (ax-1.0) / ln(a))) + Offset   [web citation]
    Gompertz CDF Based With Offset 2D   y = 1.0 - exp(-b * (ax-1.0) / ln(a)) + Offset   [web citation]
    Gumbel CDF Based With Offset 2D   y = a * exp(-exp(-x)) + Offset   [web citation]
    Gumbel PDF Based With Offset 2D   y = a * exp(-x-exp(-x)) + Offset   [web citation]
    Half Normal PDF Based With Offset 2D   y = c * ( 1.0/b) * exp(-0.5*((x-a)/b)*((x-a)/b)) + Offset   [web citation]
    Inverse_gaussian PDF Based A With Offset 2D   y = sqrt(b/(c*x3))*exp(-b*(x-a)2 / (2.0*a2*x)) + Offset   [web citation]
    Inverse_gaussian PDF Based B With Offset 2D   y = sqrt(b/(c*x3))*exp(-b*(x-a)2 / (2.0*a2*x)) + Offset   [web citation]
    Levy PDF Based Scaled With Offset 2D   y = Scale * b0.5 * exp(-b/(2.0*(x-a)))/sqrt((x-a)3) + Offset   [web citation]
    Levy PDF Based With Offset 2D   y = b0.5 * exp(-b/(2.0*(x-a)))/sqrt((x-a)3) + Offset   [web citation]
    Log Normal PDF Based With Offset 2D   y = exp(-0.5*((ln(x)-a)/b)2) / (b*x) + Offset   [web citation]
    Logistic PDF Based With Offset 2D   y = exp((a-x)/b) / (b*(1.0+exp((a-x)/b))2) + Offset   [web citation]
    Pareto PDF Based With Offset 2D   y = b * ab / x(b+1.0) + Offset   [web citation]
    Power PDF Based With Offset 2D   y = (a/b) * (x/b)(a-1.0) + Offset   [web citation]
    Rayleigh CDF Based A With Offset 2D   y = 1.0 - exp(-x2/(2.0*a2)) + Offset   [web citation]
    Rayleigh CDF Based B With Offset 2D   y = b * exp(-x2/(2.0*a2)) + Offset   [web citation]
    Rayleigh PDF Based Scaled With Offset 2D   y = Scale * (x/a2) * exp(-x2/(2.0*a2)) + Offset   [web citation]
    Rayleigh PDF Based With Offset 2D   y = (x/a2) * exp(-x2/(2.0*a2)) + Offset   [web citation]
    Reciprocal CDF Based With Offset 2D   y = ln(a/x) / ln(a/b) + Offset   [web citation]
    Sech CDF Based With Offset 2D   y = c * atan(exp((x-a)/b)) + Offset   [web citation]
    Weibull CDF Based A With Offset 2D   y = 1.0 / exp(((x-a)/b)c) + Offset   [web citation]
    Weibull CDF Based B With Offset 2D   y = d / exp(((x-a)/b)c) + Offset   [web citation]
    Weibull PDF Based With Offset 2D   y = (c/b) * ((x-a)/b)(c-1.0) / exp(((x-a)/b)c) + Offset   [web citation]
     




     


2D Engineering

    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
    Electron Beam Lithography Point Spread 2D   y = a*exp(-b*x) + c*exp(-(x-d)2 / f2) + g*exp(-(x-h)2 / i2) + j*exp(-(x-k)2 / l2)
    Extended Steinhart-Hart 2D   1/T = A + Bln(R) + C(ln(R))2 + D(ln(R))3
    Graeme Paterson Electric Motor 2D   y = A*exp(-b*t)*cos(omega*t + phi) + A2*exp(-b2*t)
    Klimpel Kinetics Flotation A 2D   y = a * (1 - (1 - exp(-b*x)) / (b*x))
    Maxwell - Wiechert 1 2D   y = a1*exp(-X/Tau1)   [web citation]
    Maxwell - Wiechert 2 2D   y = a1*exp(-X/Tau1) + a2*exp(-X/Tau2)   [web citation]
    Maxwell - Wiechert 3 2D   y = a1*exp(-X/Tau1) + a2*exp(-X/Tau2) + a3*exp(-X/Tau3)   [web citation]
    Maxwell - Wiechert 4 2D   y = a1*exp(-X/Tau1) + a2*exp(-X/Tau2) + a3*exp(-X/Tau3) + a4*exp(-X/Tau4)   [web citation]
    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
     

     
    Electron Beam Lithography Point Spread With Offset 2D   y = a*exp(-b*x) + c*exp(-(x-d)2 / f2) + g*exp(-(x-h)2 / i2) + j*exp(-(x-k)2 / l2) + Offset
    Graeme Paterson Electric Motor With Offset 2D   y = A*exp(-b*t)*cos(omega*t + phi) + A2*exp(-b2*t) + Offset
    Klimpel Kinetics Flotation A With Offset 2D   y = a * (1 - (1 - exp(-b*x)) / (b*x)) + Offset
    Maxwell - Wiechert 1 With Offset 2D   y = a1*exp(-X/Tau1) + Offset   [web citation]
    Maxwell - Wiechert 2 With Offset 2D   y = a1*exp(-X/Tau1) + a2*exp(-X/Tau2) + Offset   [web citation]
    Maxwell - Wiechert 3 With Offset 2D   y = a1*exp(-X/Tau1) + a2*exp(-X/Tau2) + a3*exp(-X/Tau3) + Offset   [web citation]
    Maxwell - Wiechert 4 With Offset 2D   y = a1*exp(-X/Tau1) + a2*exp(-X/Tau2) + a3*exp(-X/Tau3) + a4*exp(-X/Tau4) + Offset   [web citation]
    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
     




     


2D Exponential

    Asymptotic Exponential A 2D   y = 1.0 - ax
    Asymptotic Exponential A Transform 2D   y = 1.0 - abx + 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 Asymptotic Exponential B 2D   y = a * (1.0 - exp(bx)) + c * (1.0 - exp(dx))
    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 * (xd))
    Hoerl 2D   y = xa * 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))
    Jonathan Litz Custom Exponential 2D   y = a + b * x + c * exp(-d * x) - c * x * exp(-d * x)   [web citation]
    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 = ax
    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 - abx + c + Offset
    Asymptotic Exponential A With Offset 2D   y = 1.0 - ax + Offset
    Asymptotic Exponential B With Offset 2D   y = a * (1.0 - exp(bx)) + Offset
    Double Asymptotic Exponential B With Offset 2D   y = a * (1.0 - exp(bx)) + c * (1.0 - exp(dx)) + 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 = xa * 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 = ax + 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
     




     


2D FourierSeries

    1 Term (Scaled X) 2D   y = a0 + a1*sin(c1*x)+b1*cos(c1*x)   [web citation]
    1 Term Standard 2D   y = a0 + a1*sin(x)+b1*cos(x)   [web citation]
    2 Term Standard 2D   y = a0 + a1*sin(x)+b1*cos(x) + a2*sin(2x)+b2*cos(2x)   [web citation]
    3 Term Standard 2D   y = a0 + a1*sin(x)+b1*cos(x) + a2*sin(2x)+b2*cos(2x) + a3*sin(3x)+b3*cos(3x)   [web citation]
    4 Term Standard 2D   y = a0 + a1*sin(x)+b1*cos(x) + a2*sin(2x)+b2*cos(2x) + a3*sin(3x)+b3*cos(3x) + a4*sin(4x)+b4*cos(4x)   [web citation]
     




     


2D LegendrePolynomial

    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]
     




     


2D Logarithmic

    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 + b*ln(x) + c*ln(x)2 + d*ln(x)3
    Cubic Logarithmic Scaled 2D   y = a + b*ln(f*x) + c*ln(f*x)2 + d*ln(f*x)3
    Cubic Logarithmic Transform 2D   y = a + b*ln(f*x+g) + c*ln(f*x+g)2 + d*ln(f*x+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 + b*ln(x) + c*ln(x)2
    Quadratic Logarithmic Scaled 2D   y = a + b*ln(dx) + c*ln(dx)2
    Quadratic Logarithmic Transform 2D   y = a + b*ln(dx+f) + c*ln(dx+f)2
    Quartic Logarithmic 2D   y = a + b*ln(x) + c*ln(x)2 + d*ln(x)3 + f*ln(x)4
    Quartic Logarithmic Scaled 2D   y = a + b*ln(h*x) + c*ln(h*x)2 + d*ln(h*x)3 + f*ln(h*x)4
    Quartic Logarithmic Transform 2D   y = a + b*ln(g*x+h) + c*ln(g*x+h)2 + d*ln(g*x+h)3 + f*ln(g*x+h)4
    Quintic Logarithmic 2D   y = a + b*ln(x) + c*ln(x)2 + d*ln(x)3 + f*ln(x)4 + g*ln(x)5
    Quintic Logarithmic Scaled 2D   y = a + b*ln(h*x) + c*ln(h*x)2 + d*ln(h*x)3 + f*ln(h*x)4 + g*ln(h*x)4
    Quintic Logarithmic Transform 2D   y = a + b*ln(h*x+i) + c*ln(h*x+i)2 + d*ln(h*x+i)3 + f*ln(h*x+i)4 + g*ln(h*x+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
     




     


2D Miscellaneous

    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 + bxc)-1/d
    Catenary 2D   y = a * cosh(x / a)   [web citation]
    Catenary Transform 2D   y = a * cosh((bx + c) / a)   [web citation]
    Cissoid Of Diocles 2D   y = a(x3 / (2b-x))0.5   [web citation]
    Cissoid Of Diocles Transform 2D   y = a((x*c-d)3 / (2b-(x*c-d)))0.5   [web citation]
    Combined Power And Exponential 2D   y = axb * 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
    Figure Eight Curve 2D   y = a(x2 - (x4/b2))0.5   [web citation]
    Figure Eight Curve Transform 2D   y = a((cx+d)2 - ((cx+d)4/b2))0.5   [web citation]
    Gunary 2D   y = x / (a + bx + cx0.5)
    Hyperbola A Modified 2D   y = ax/(1+bx)
    Hyperbola B Modified 2D   y = x/(a+bx)
    Hyperbolic Decay 2D   y = ab/(b+x)
    Karplus NMR Spectroscopy 2D   J(da) = Acos2(da) + Bcos(da) + C   [web citation]
    Karplus NMR Spectroscopy Scaled 2D   J(da) = Acos2(s * da) + Bcos(s * da) + C   [web citation]
    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))
    Morse Potential 2D   V = D*(exp(-2*m*(x-u)) - 2*exp(-m*(x-u))) + offset   [web citation]
    Nelson-Siegel 2D   y(m) = B0 + B1*((1-exp(-m/t))/(m/t)) + B2*(((1-exp(-m/t))/(m/t)) - exp(-m/t)))   [web citation]
    Nelson-Siegel-Svensson 2D   y(m) = B0 + B1*((1-exp(-m/t))/(m/t)) + B2*(((1-exp(-m/t))/(m/t)) - exp(-m/t)) + B3*(((1-exp(-m/t2))/(m/t2)) - exp(-m/t2))   [web citation]
    Niele's Semi-cubical Parabola 2D   y = (ax2)1.0/3.0   [web citation]
    Niele's Semi-cubical Parabola Transform 2D   y = (a(b*x+c)2)1.0/3.0   [web citation]
    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 / xa)
    Pear-shaped Quartic 2D   y = a(x3(b-x) / c2)0.5   [web citation]
    Pear-shaped Quartic Transform 2D   y = a((dx+f)3(b-(dx+f)) / c2)0.5   [web citation]
    Physicist Peter's Custom Equation 2D   y = A + B*(X-C) + 0.5*G*(X-C)**2
    Physicist Peter's Pendulum Traversal 2D   y = a*(x + b)1/2
    Polytrope 2D   y = a / xb   [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)
    Square Modified 2D   y = x2 - ax
    Square Modified Transform 2D   y = (bx + c)2 - a(bx + c)
    Timothy Strobel's Custom Equation 2D   y = (A-B*X**C)*(1-(0.5+(arctan((X-D)/E))/pi))+(F-G*X**H)*(0.5+(arctan((X-D)/E))/pi)   [web citation]
    Transition State Rate Constant Law 2D   y = axb * exp(-c/x)
    Trisectrix Of Maclaurin 2D   y = a(x2(3b-x) / (b+x))0.5   [web citation]
    Trisectrix Of Maclaurin Transform 2D   y = a((cx+d)2(3b-(cx+d)) / (b+(cx+d)))0.5   [web citation]
    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 + bxc)-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]
    Cissoid Of Diocles Transform With Offset 2D   y = a((x*c-d)3 / (2b-(x*c-d)))0.5 + Offset   [web citation]
    Cissoid Of Diocles With Offset 2D   y = a(x3 / (2b-x))0.5 + Offset   [web citation]
    Combined Power And Exponential With Offset 2D   y = axb * 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
    Figure Eight Curve Transform With Offset 2D   y = a((cx+d)2 - ((cx+d)4/b2))0.5 + Offset   [web citation]
    Figure Eight Curve With Offset 2D   y = a(x2 - (x4/b2))0.5 + Offset   [web citation]
    Gunary With Offset 2D   y = x / (a + bx + cx0.5) + 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
    Niele's Semi-cubical Parabola Transform With Offset 2D   y = (a(b*x+c)2)1.0/3.0 + Offset   [web citation]
    Niele's Semi-cubical Parabola With Offset 2D   y = (ax2)1.0/3.0 + Offset   [web citation]
    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 / xa) + Offset
    Pear-shaped Quartic Transform With Offset 2D   y = a((dx+f)3(b-(dx+f)) / c2)0.5 + Offset   [web citation]
    Pear-shaped Quartic With Offset 2D   y = a(x3(b-x) / c2)0.5 + Offset   [web citation]
    Physicist Peter's Pendulum Traversal With Offset 2D   y = a*(x + b)1/2 + Offset
    Polytrope Transform With Offset 2D   y = a / (cx + d)b + Offset   [web citation]
    Polytrope With Offset 2D   y = a / xb + 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
    Square Modified Transform With Offset 2D   y = (bx + c)2 - a(bx + c) + Offset
    Square Modified With Offset 2D   y = x2 - ax + Offset
    Timothy Strobel's Custom Equation With Offset 2D   y = (A-B*X**C)*(1-(0.5+(arctan((X-D)/E))/pi))+(F-G*X**H)*(0.5+(arctan((X-D)/E))/pi) + Offset   [web citation]
    Transition State Rate Constant Law With Offset 2D   y = axb * exp(-c/x) + Offset
    Trisectrix Of Maclaurin Transform With Offset 2D   y = a((cx+d)2(3b-(cx+d)) / (b+(cx+d)))0.5 + Offset   [web citation]
    Trisectrix Of Maclaurin With Offset 2D   y = a(x2(3b-x) / (b+x))0.5 + Offset   [web citation]
    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
     




     


2D NIST

    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(-a*x) / (b + c*x)   [web citation]
    NIST DanWood 2D   y = a*xb   [web citation]
    NIST ENSO 2D   y = a + b*cos(2*pi*x/12) + c*sin(2*pi*x/12) + f*cos(2*pi*x/d) + g*sin(2*pi*x/d) + i*cos(2*pi*x/h) + j*sin(2*pi*x/h)   [web citation]
    NIST Eckerle4 2D   y = (a/b) * exp(-0.5*((x-c)/b)2)   [web citation]
    NIST Gauss 2D   y = a*exp(-b*x) + c*exp(-(x-d)2 / f2) + g*exp(-(x-h)2 / i2)   [web citation]
    NIST Hahn 2D   y = (a + b*x + c*x2 + d*x3) / (1.0 + f*x + g*x2 + h*x3)   [web citation]
    NIST Kirby 2D   y = (a + b*x + c*x2) / (1.0 + d*x + f*x2)   [web citation]
    NIST Lanczos 2D   y = a*exp(-b*x) + c*exp(-d*x) + f*exp(-g*x)   [web citation]
    NIST MGH09 2D   y = a * (x2 + b*x) / (x2 + c*x + d)   [web citation]
    NIST MGH10 2D   y = a * exp(b/(x+c))   [web citation]
    NIST MGH17 2D   y = a + b*exp(-x*d) + c*exp(-x*f)   [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 - (1.0 + 2.0*b*x)-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(-a*x) / (b + c*x) + Offset   [web citation]
    NIST DanWood With Offset 2D   y = a*xb + 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 = a*exp(-b*x) + c*exp(-(x-d)2 / f2) + g*exp(-(x-h)2 / i2) + Offset   [web citation]
    NIST Hahn With Offset 2D   y = (a + b*x + c*x2 + d*x3) / (1.0 + f*x + g*x2 + h*x3) + Offset   [web citation]
    NIST Kirby With Offset 2D   y = (a + b*x + c*x2) / (1.0 + d*x + f*x2) + Offset   [web citation]
    NIST Lanczos With Offset 2D   y = a*exp(-b*x) + c*exp(-d*x) + f*exp(-g*x) + Offset   [web citation]
    NIST MGH09 With Offset 2D   y = a * (x2 + b*x) / (x2 + c*x + 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 - (1.0 + 2.0*b*x)-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]
     




     


2D Optical

    CAUCHY 2D   n = A + B/x2 + C/x4   [web citation]
    CONRADY1 2D   n = A + B/x + C/x3.5   [web citation]
    CONRADY2 2D   n = A + B/x2 + C/x3.5   [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]
     




     


2D Peak

    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(2*pi) * c * (x-f))
    Box Lucas A 2D   y = a * (1.0 - bx)
    Box Lucas A Shifted 2D   y = a * (1.0 - bx-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 4 Parameter Peak 2D   y = a * exp(-x + b + c - c*d*exp(-1.0 * ((x + c*ln(d) - b) / c)) / (c*d))
    Extreme Value Area 2D   y = (a/c) * exp(-exp(-((x-b)/c))-((x-b)/c))
    Extreme Value Peak 2D   y = a * exp(-exp(-((x-b)/c))-((x-b)/c)+1.0)
    Gaussian Area 2D   y = (a / (pow(2*pi, 0.5) * c)) * exp(-0.5 * ((x-b)/c)2)
    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)/(B*B) + (Vbmax * I)/(I + sigma_b)
    Laplace Area 2D   y = (a / (pow(2.0, 0.5) * c)) * exp((-1.0 * pow(2.0, 0.5) * abs(x-b))/c)
    Laplace Peak 2D   y = a * exp((-1.0 * pow(2.0, 0.5) * abs(x-b))/c)
    Log-Normal 4 Parameter 2D   y = a * exp(-1.0 * (ln(2) * ln((((x-b) * (d2-1)) / (c*d)) + 1.0)2) / ln(d)2)
    Log-Normal Peak A 2D   y = a * exp(-0.5 * ((ln(x)-b)/c)2)
    Log-Normal Peak A Modified 2D   y = a * exp(-0.5 * ((ln(x)-b)/c)d)
    Log-Normal Peak A Modified Shifted 2D   y = a * exp(-0.5 * ((ln(x-f)-b)/c)d)
    Log-Normal Peak A Shifted 2D   y = a * exp(-0.5 * ((ln(x-d)-b)/c)2)
    Log-Normal Peak B 2D   y = a * exp(-0.5 * (ln(x/b)/c)2)
    Log-Normal Peak B Modified 2D   y = a * exp(-0.5 * (ln(x/b)/c)d)
    Log-Normal Peak B Modified Shifted 2D   y = a * exp(-0.5 * (ln((x-f)/b)/c)d)
    Log-Normal Peak B Shifted 2D   y = a * exp(-0.5 * (ln((x-d/b))/c)2)
    Logistic Area 2D   y = a * exp(-1.0 * (x-b) / c) / (c * (1.0 + exp(-1.0 * (x-b) / c))2)
    Logistic Peak 2D   y = 4a * exp(-1.0 * (x-b) / c) / (1.0 + exp(-1.0 * (x-b) / c))2
    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 Modified Peak G 2D   y = a / (1.0 + ((x-b)/c)d)
    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)
    Lorentzian Peak G 2D   y = a / (1.0 + ((x-b)/c)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)f)) + (1-d) * exp(-0.5 * ((x-b)/c)g))
    Pulse Peak 2D   y = 4a * exp(-(x-b)/c) * (1.0 - exp(-(x-b)/c))
    UVED Fruit Growth Rate 2D   y = ((t/5)(a-1)*(1-t/5)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1))   [web citation]
    UVED Fruit Growth Rate B 2D   y = c * ((t/5)(a-1)*(1-t/5)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1))   [web citation]
    UVED Fruit Growth Rate Scaled 2D   y = ((c*t)(a-1)*(1-(c*t)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1))   [web citation]
    UVED Fruit Growth Rate Scaled B 2D   y = d * ((c*t)(a-1)*(1-(c*t)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1))   [web citation]
    UVED Fruit Growth Rate Transform 2D   y = ((c*t+d)(a-1)*(1-(c*t+d)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1))   [web citation]
    UVED Fruit Growth Rate Transform B 2D   y = f * ((c*t+d)(a-1)*(1-(c*t+d)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1))   [web citation]
    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-f)/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(2*pi) * c * (x-f)) + Offset
    Box Lucas A Shifted With Offset 2D   y = a * (1.0 - bx-c) + Offset
    Box Lucas A With Offset 2D   y = a * (1.0 - bx) + 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 4 Parameter Peak With Offset 2D   y = a * exp(-x + b + c - c*d*exp(-1.0 * ((x + c*ln(d) - b) / c)) / (c*d)) + Offset
    Extreme Value Area With Offset 2D   y = (a/c) * exp(-exp(-((x-b)/c))-((x-b)/c)) + Offset
    Extreme Value Peak With Offset 2D   y = a * exp(-exp(-((x-b)/c))-((x-b)/c)+1.0) + Offset
    Gaussian Area With Offset 2D   y = (a / (pow(2*pi, 0.5) * c)) * exp(-0.5 * ((x-b)/c)2) + 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)/(B*B) + (Vbmax * I)/(I + sigma_b) + Offset
    Laplace Area With Offset 2D   y = (a / (pow(2.0, 0.5) * c)) * exp((-1.0 * pow(2.0, 0.5) * abs(x-b))/c) + Offset
    Laplace Peak With Offset 2D   y = a * exp((-1.0 * pow(2.0, 0.5) * abs(x-b))/c) + Offset
    Log-Normal 4 Parameter With Offset 2D   y = a * exp(-1.0 * (ln(2) * ln((((x-b) * (d2-1)) / (c*d)) + 1.0)2) / ln(d)2) + Offset
    Log-Normal Peak A Modified Shifted With Offset 2D   y = a * exp(-0.5 * ((ln(x-f)-b)/c)d) + Offset
    Log-Normal Peak A Modified With Offset 2D   y = a * exp(-0.5 * ((ln(x)-b)/c)d) + Offset
    Log-Normal Peak A Shifted With Offset 2D   y = a * exp(-0.5 * ((ln(x-d)-b)/c)2) + Offset
    Log-Normal Peak A With Offset 2D   y = a * exp(-0.5 * ((ln(x)-b)/c)2) + Offset
    Log-Normal Peak B Modified Shifted With Offset 2D   y = a * exp(-0.5 * (ln((x-f)/b)/c)d) + Offset
    Log-Normal Peak B Modified With Offset 2D   y = a * exp(-0.5 * (ln(x/b)/c)d) + Offset
    Log-Normal Peak B Shifted With Offset 2D   y = a * exp(-0.5 * (ln((x-d/b))/c)2) + Offset
    Log-Normal Peak B With Offset 2D   y = a * exp(-0.5 * (ln(x/b)/c)2) + Offset
    Logistic Area With Offset 2D   y = a * exp(-1.0 * (x-b) / c) / (c * (1.0 + exp(-1.0 * (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))2 + 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 Modified Peak G With Offset 2D   y = a / (1.0 + ((x-b)/c)d) + 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
    Lorentzian Peak G With Offset 2D   y = a / (1.0 + ((x-b)/c)2) + Offset
    Pseudo-Voight Peak Modified With Offset 2D   y = a * (d * (1/(1+((x-b)/c)f)) + (1-d) * exp(-0.5 * ((x-b)/c)g)) + 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
    UVED Fruit Growth Rate B With Offset 2D   y = c * ((t/5)(a-1)*(1-t/5)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1)) + Offset   [web citation]
    UVED Fruit Growth Rate Scaled B With Offset 2D   y = d * ((c*t)(a-1)*(1-(c*t)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1)) + Offset   [web citation]
    UVED Fruit Growth Rate Scaled With Offset 2D   y = ((c*t)(a-1)*(1-(c*t)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1)) + Offset   [web citation]
    UVED Fruit Growth Rate Transform B With Offset 2D   y = f * ((c*t+d)(a-1)*(1-(c*t+d)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1)) + Offset   [web citation]
    UVED Fruit Growth Rate Transform With Offset 2D   y = ((c*t+d)(a-1)*(1-(c*t+d)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1)) + Offset   [web citation]
    UVED Fruit Growth Rate With Offset 2D   y = ((t/5)(a-1)*(1-t/5)(b-1))/(((a-1)/(a+b-2))(a-1)*((b-1)/(a+b-2))(b-1)) + Offset   [web citation]
    Weibull Peak Modified Shifted With Offset 2D   y = a * exp(-0.5 * (ln((x-f)/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
     




     


2D Polyfunctional

    User-Selectable Polyfunctional 2D   y = user-selectable function
     




     


2D Polynomial

    1st Order (Linear) 2D   y = a + bx
    2nd Order (Quadratic) 2D   y = a + bx + cx2
    3rd Order (Cubic) 2D   y = a + bx + cx2 + dx3
    4th Order (Quartic) 2D   y = a + bx + cx2 + dx3 + fx4
    5th Order (Quintic) 2D   y = a + bx + cx2 + dx3 + fx4 + gx5
    Marc Plante's Custom Quadratic 2D   y = (-b + (b2 - 4 a (c - x))0.5) / 2 / a
    User-Customizable Polynomial 2D   y = user-customizable polynomial
    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
     




     


2D Power

    Geometric Modified 2D   y = a * x(b/x)
    Power A Modified 2D   y = a * bx
    Power A Modified Transform 2D   y = a * bcx + d
    Power B Modified 2D   y = aln(x)
    Power B Modified Transform 2D   y = aln(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 = xa
    Standard Geometric 2D   y = a * xbx
    Standard Power 2D   y = a * xb
    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 * bcx + d + Offset
    Power A Modified With Offset 2D   y = a * bx + Offset
    Power B Modified Transform With Offset 2D   y = aln(bx + c) + Offset
    Power B Modified With Offset 2D   y = aln(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 = xa + Offset
    Standard Geometric With Offset 2D   y = a * xbx + Offset
    Standard Power With Offset 2D   y = a * xb + Offset
    X Shifted Power With Offset 2D   y = a * (x-b)c + Offset
     




     


2D Rational

    User-Selectable Rational 2D   y = user-selectable rational
     




     


2D Sigmoidal

    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 A 2D   y = (a - b) / (1.0 + exp((x-c)/d)) + b
    Boltzmann Sigmoid B 2D   y = (a - b) / (1.0 + exp((x-c)/(dx))) + 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)f
    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 = axb / (cb + xb)
    JJacquelin Generalised Logistic 2D   y = L / (1.0 + (b * exp(-k*t)) + (c * exp(h*t)))   [web citation]
    Janoschek Growth 2D   w = a - (1.0 - exp(-b * tc))   [web citation]
    Janoschek Growth Modified 2D   w = a - (a - w0) * (1.0 - exp(-b * tc))   [web citation]
    Logistic A 2D   y = a / (1.0 + b*exp(-cx))
    Logistic B 2D   y = a / (1.0 + (x/b)c)
    Lomolino 2D   y = a / (1.0 + bln(c/x))
    Magnetic Saturation 2D   y = ax * (1.0 + b*exp(cx))
    Morgan-Mercer-Flodin (MMF) 2D   y = (a * b + c * xd) / (b + xd)
    Peters-Baskin Step-Stool: y (1) 2D   y = ln(c + exp(b*d*x)) / d   [web citation]
    Peters-Baskin Step-Stool: yI (2) 2D   yI = ln(exp(b2*c1*d1) + exp(b2*d1*x)) / d1   [web citation]
    Peters-Baskin Step-Stool: yII (3) 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1   [web citation]
    Peters-Baskin Step-Stool: yIII (6) 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1
L = ln( exp(b2*c1*d1) + exp(b2*c2*d1) )
yIII = yII - ln( exp(d2*(b1*c1 + L/d1)) + exp(d2*yII) ) / d2   [web citation]
    Peters-Baskin Step-Stool: yIV (9) 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1
L = ln( exp(b2*c1*d1) + exp(b2*c2*d1) )
yIII = yII - ln( exp(d2*(b1*c2 + L/d1)) + exp(d2*yII) ) / d2
yII,0 = ln(exp(b2*c1*d1) + 1.0 ) / d1
yIII,0 = yII,0 - ln( exp(d2*(b1*c2 + L/d1)) + exp(d2*yII,0) ) / d2
yIV = yIII - yIII,0   [web citation]
    Peters-Baskin Step-Stool: yV (10) 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1
L = ln( exp(b2*c1*d1) + exp(b2*c2*d1) )
yIII = yII - ln( exp(d2*(b1*c2 + L/d1)) + exp(d2*yII) ) / d2
yII,0 = ln(exp(b2*c1*d1) + 1.0 ) / d1
yIII,0 = yII,0 - ln( exp(d2*(b1*c2 + 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(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1
L = ln( exp(b2*c1*d1) + exp(b2*c2*d1) )
yIII = yII - ln( exp(d2*(b1*c2 + L/d1)) + exp(d2*yII) ) / d2
yII,0 = ln(exp(b2*c1*d1) + 1.0 ) / d1
yIII,0 = yII,0 - ln( exp(d2*(b1*c2 + L/d1)) + exp(d2*yII,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(-cxd)
    Weibull CDF 2D   y = 1.0 - exp(-(x/b)a)
    Weibull CDF Scaled 2D   y = Scale * (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 = axb / (cb + xb) + Offset
    JJacquelin Generalised Logistic With Offset 2D   y = L / (1.0 + (b * exp(-k*t)) + (c * exp(h*t))) + Offset   [web citation]
    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
    Lomolino With Offset 2D   y = a / (1.0 + bln(c/x)) + 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 * xd) / (b + xd) + Offset
    Peters-Baskin Step-Stool: y (1) With Offset 2D   y = ln(c + exp(b*d*x)) / d + Offset   [web citation]
    Peters-Baskin Step-Stool: yI (2) With Offset 2D   yI = ln(exp(b2*c1*d1) + exp(b2*d1*x)) / d1 + Offset   [web citation]
    Peters-Baskin Step-Stool: yII (3) With Offset 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1 + Offset   [web citation]
    Peters-Baskin Step-Stool: yIII (6) With Offset 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1
L = ln( exp(b2*c1*d1) + exp(b2*c2*d1) )
yIII = yII - ln( exp(d2*(b1*c1 + L/d1)) + exp(d2*yII) ) / d2 + Offset   [web citation]
    Peters-Baskin Step-Stool: yIV (9) With Offset 2D  
K = ln( exp(b2*c1*d1) + exp(b2*d1*x) )
yII = b1*x + K/d1
L = ln( exp(b2*c1*d1) + exp(b2*c2*d1) )
yIII = yII - ln( exp(d2*(b1*c2 + L/d1)) + exp(d2*yII) ) / d2
yII,0 = ln(exp(b2*c1*d1) + 1.0 ) / d1
yIII,0 = yII,0 - ln( exp(d2*(b1*c2 + 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 Scaled With Offset 2D   y = Scale * (1.0 - exp(-(x/b)a)) + 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
     




     


2D Simple

    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 = a*pow(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 13 2D   y = a*pow(x/b,c)*exp(x/b)
    Simple Equation 14 2D   y = a*pow(x,b+c*x)
    Simple Equation 15 2D   y = a*pow(x,b+c/x)
    Simple Equation 16 2D   y = a*pow(x,b+c*ln(x))
    Simple Equation 17 2D   y = a*pow(x,b*x+c*pow(x,2.0))
    Simple Equation 18 2D   y = a*exp(b*x+c*pow(x,0.5))
    Simple Equation 19 2D   y = a*exp(b/x+c*x)
    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(b*x)-exp(c*x))
    Simple Equation 23 2D   y = a*exp(b*exp(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 = a*exp(b*pow(x,c))
    Simple Equation 30 2D   y = a*pow(x,b*pow(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+b*exp(c*x)
    Simple Equation 35 2D   y = a*exp(b*x)/x
    Simple Equation 36 2D   y = a*exp(b/x)/x
    Simple Equation 37 2D   y = a*pow(x,b)*ln(x)
    Simple Equation 38 2D   y = a*pow(x,b)/ln(x)
    Simple Equation 39 2D   y = a*pow(x,b)*ln(x+c)
    Simple Equation 40 2D   y = a*pow(ln(x+b),c)
    Simple Equation 41 2D   y = a*pow(x,b/x)+c*x
    Simple Equation 42 2D   y = a*pow(x,b/x)+c*ln(x)
    Simple Reciprocal 2D   y = a / x
     

     
    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 = a*pow(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 13 With Offset 2D   y = a*pow(x/b,c)*exp(x/b) + Offset
    Simple Equation 14 With Offset 2D   y = a*pow(x,b+c*x) + Offset
    Simple Equation 15 With Offset 2D   y = a*pow(x,b+c/x) + Offset
    Simple Equation 16 With Offset 2D   y = a*pow(x,b+c*ln(x)) + Offset
    Simple Equation 17 With Offset 2D   y = a*pow(x,b*x+c*pow(x,2.0)) + Offset
    Simple Equation 18 With Offset 2D   y = a*exp(b*x+c*pow(x,0.5)) + Offset
    Simple Equation 19 With Offset 2D   y = a*exp(b/x+c*x) + 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(b*x)-exp(c*x)) + Offset
    Simple Equation 23 With Offset 2D   y = a*exp(b*exp(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 = a*exp(b*pow(x,c)) + Offset
    Simple Equation 30 With Offset 2D   y = a*pow(x,b*pow(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+b*exp(c*x) + Offset
    Simple Equation 35 With Offset 2D   y = a*exp(b*x)/x + Offset
    Simple Equation 36 With Offset 2D   y = a*exp(b/x)/x + Offset
    Simple Equation 37 With Offset 2D   y = a*pow(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 = a*pow(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 = a*pow(x,b/x)+c*x + Offset
    Simple Equation 42 With Offset 2D   y = a*pow(x,b/x)+c*ln(x) + Offset
    Simple Reciprocal With Offset 2D   y = a / x + Offset
     




     


2D Trigonometric

    Cardinal Sine (sinc) Squared [radians] 2D   y = amplitude * sin(pi * (x - center) / width)2 / (pi * (x - center) / width)
    Cardinal Sine (sinc) [radians] 2D   y = amplitude * sin(pi * (x - center) / width) / (pi * (x - center) / width)
    Great Circle [Degrees] 2D   latitude = arctan(A*cos((B + longitude) / 57.2957795131)) * 57.2957795131
    Great Circle [radians] 2D   latitude = arctan(A*cos(B + longitude))
    Hyperbolic Cosine [radians] 2D   y = amplitude * cosh(pi * (x - center) / width)
    Sine Squared [radians] 2D   y = amplitude * sin(pi * (x - center) / width)2
    Sine [radians] 2D   y = amplitude * sin(pi * (x - center) / width)
    Tangent [radians] 2D   y = amplitude * tan(pi * (x - center) / width)
     

     
    Cardinal Sine (sinc) Squared [radians] With Offset 2D   y = amplitude * sin(pi * (x - center) / width)2 / (pi * (x - center) / width) + Offset
    Cardinal Sine (sinc) [radians] With Offset 2D   y = amplitude * sin(pi * (x - center) / width) / (pi * (x - center) / width) + Offset
    Hyperbolic Cosine [radians] With Offset 2D   y = amplitude * cosh(pi * (x - center) / width) + Offset
    Sine Squared [radians] With Offset 2D   y = amplitude * sin(pi * (x - center) / width)2 + Offset
    Sine [radians] With Offset 2D   y = amplitude * sin(pi * (x - center) / width) + Offset
    Tangent [radians] With Offset 2D   y = amplitude * tan(pi * (x - center) / width) + Offset
     




     


2D YieldDensity

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

     
    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 + bxc) + 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 + bxc) + Offset
    Nelder With Offset 2D   y = (a + x) / (b + c(a + x) + d(a + x)2 + Offset