1000 Polynomial 1010 Const 1011 y = aa 1020 Straight Line 1021 y = aa + bb*x 1030 Parabola 1031 y = aa + bb*x + cc*x^2 1040 Polynomial4 1041 y = aa + bb*x + cc*x^2 + dd*x^3 1050 Polynomial5 1051 y = aa + bb*x + cc*x^2 + dd*x^3 + gg*x^4 1060 ParabolaSqrt 1061 y = aa + bb*x^2 + cc*sqrt(x) 1070 PolynomialSqrt 3 1071 y = aa + bb*sqrt(x) + cc*x 1080 PolynomialSqrt 4 1081 y = aa + bb*sqrt(x) + cc*x + dd*x^1.5 1090 Polynomial with fixed point 1091 y = y0 + cc*(x-x0) + dd*(x-x0)^2 + gg*(x-x0)^3 + hh*(x-x0)^4, x0=aa, y0=bb 1100 Polynomial (X-X1)(X-X2) 1101 y = aa + bb*(x-cc)*(x-dd) 1110 Polynomial (X-X1)(X-X2)(X-X3) 1111 y = aa + bb*(x-cc)*(x-dd)*(x-gg) 1120 Polynomial (X-X1)(X-X2)(X-X3)(X-X4) 1121 y = aa + bb*(x-cc)*(x-dd)*(x-gg)*(x-hh) 1130 Polynomial (X-X1)(X-X2)(X-X3)(X-X4)(X-X5) 1131 y = aa + bb*(x-cc)*(x-dd)*(x-gg)*(x-hh)*(x-kk) 1510 Linear regression 1560 Fourier 2000 Exponential 2010 Exponential 1 2011 y = bb^x 2020 Exponential 2-1 2021 y = ab*exp(bb*x) 2030 Exponential 2-2 2031 y = ab*exp(-bb*x) 2040 Exponential 2-3 2041 y = exp(aa-bb*x) 2050 Exponential 2-4 2051 y = aa*bb^x 2060 Exponential3 2061 y = aa + bb*exp(-cc*x) 2070 Stirling 2071 y = aa + bb*(exp(cc*x)-1)/cc 2100 ExpDecay 4 2101 y = aa + bb*exp(-(x-dd)/cc) 2110 ExpDecay 5 2111 y = aa + bb*exp(-x/cc) + dd*exp(-x/gg) 2120 Exp2Decay 5 2121 y = aa*exp(-(x-dd)/cc) + bb*exp(-(x-dd)/gg) 2130 ExpDecay 7 2131 y = aa + bb*exp(-x/cc) + dd*exp(-x/gg) + hh*exp(-x/kk) 2200 ExpGrowth 3 2201 y = aa + bb*exp(x/cc) 2210 ExpGrowth 4 2211 y = aa + bb*exp((x-dd)/cc) 2220 Exp2Growth 5-1 2221 y = aa + bb*exp(x/cc) + dd*exp(x/gg) 2230 Exp2Growth 5-2 2231 y = aa*exp((x-dd)/cc) + b*exp((x-dd)/gg) 2240 ExpGrowth 7 2241 y = aa + bb*exp(x/cc) + dd*exp(x/gg) + hh*exp(x/kk) 2300 Modified Exponential 2 2301 y = aa*exp(bb/x) 2310 Modified Exponential 3 2311 y = aa*exp(bb/(x+cc)) 2320 Exp and Linear 2321 y = aa + bb*x + cc*exp(-x/dd) 2330 Shah 2331 y = aa + bb*x + cc*dd^x 2340 Yeild-fertilizer 2341 y = aa + cc*dd^x 2350 Vapor Pressure Model 2351 y = exp(aa+bb/x+cc*ln(x)) 2360 ExpGauss 2361 y = exp(aa+bb*x+cc*x^2) 3000 Logarithm 3010 Logarithm 1 3011 y = ln(x-aa) 3020 Logarithm 2-1 3021 y = b*ln(x-aa) 3030 Logarithm 2-2 3031 y = aa + bb*ln(x) 3040 Logarithm 3-1 3041 y = aa + bb*ln(x-cc) 3050 Logarithm 3-2 3051 y = aa - bb*ln(x+cc) 3060 Bradley 3061 y = aa*ln(-bb*ln(x)) 3070 Logarithm Polynomial 3071 y = aa + bb*ln(1+cc*x+dd*x^2) 4000 Power 4010 Power Fit 4011 y = aa*x^bb 4020 Allometric 4021 y = aa+cc*x^bb 4030 Power Series 4031 y = aa+cc*x^bb+gg*x^dd 4040 Shifted Power 2 4041 y = aa*(1 + x)^bb 4050 Shifted Power 3 4051 y = aa*(x-cc)^bb 4060 Shifted Power 4 4061 y = aa*(x-cc)^bb + dd 4070 Gamma 4071 y = aa*(x/bb)^c*exp(aa/bb) 4080 Geometric 4081 y = aa*x^(bb*x) 4090 Modified Geometric 4091 y = aa*x^(bb/x) 4100 Root Fit 4101 y = aa^(1/x) 4110 Hoerl 4111 y = aa*(bb^x)*(x^cc) 4120 Freundlich 4121 y = aa*x^(bb*x^(-cc)) 4130 Gunary 4131 y = x/(aa + bb*x + cc*sqrt(x)) 4140 Langmuir 4141 y = (aa*bb*x^(1-cc))/(1 + bb*x^(1-cc)) 4150 Pareto 4151 y = 1 - 1/x^aa 5000 Hyperbola 5010 Saturation Growth 5011 y = aa*x/(bb + x) 5020 Double Hyperbola 5021 y = aa*x/(bb + x) + c*x/(dd + x) + gg*x 5030 Generalized Hyperbola 5031 y = aa - bb/(1 + cc*x)^(1/dd) 5040 Bent Hyperbola 5041 y = aa+bb*x-sqrt((cc+bb*x)^2+dd^2) 5050 Heat-Capacity Model 5051 y = aa + bbx + cc/x^2 5060 Inverse 5061 y = aa+bb/x+cc/x^2 6000 Rational 6010 Rational 2 6011 y = aa / (bb + x) 6020 Rational 3 6021 y = aa / (bb + x) + cc 6030 Rational 4 6031 y = (aa + bb*x) / (1 + cc*x + dd*x^2) 6040 Rational 5 6041 y = (aa + bb*x + cc*x^2) / (1 + dd*x + gg*x^2) 6050 Rational 7 6051 y = (aa + bb*x + cc*x^2 + dd*x^3) / (1 + gg*x + hh*x^2 + kk*x^3) 6060 Nelder 6061 y = (x + aa) / (bb + cc*(x+aa) + dd*(x+aa)^2) 6070 BET 6071 y = x/(aa+bb*x-(aa+bb)*x*x) 7000 Sigmoidal 7010 Gompertz Model 7011 y = aa * exp (-exp(-bb*(x - cc))) 7020 Logistic Model 7021 y = aa / (1 + exp(-bb*(x - cc))) 7030 Richards Model 7031 y = aa / (1 + exp(-bb*(x - cc))^(1/dd) 7040 Boltzmann 7041 y = aa + (bb-aa) /(1+exp(-(x-cc)/dd)) 7050 Weibull 7051 y = aa * (1 - exp( -(bb*(x-cc))^dd) ) 7060 MMF Model 7061 y = (aa*bb + cc*x^dd)/(bb + x^dd) 7070 Hill 7071 y = aa*x^dd / (cc^dd+x^dd) 7080 Dose Response 7081 y = aa + bb / (1 + 10^(cc*x+dd)) 7090 Logistic 4 7091 y = aa + (bb-aa) /(1+(x/cc)^dd) 7100 Logistic 5 7101 y = aa + (bb-aa) /(1+((x-cc)/dd)^gg) 8000 Peak 8010 Beta Distribution 8011 y = aa + bb*z^gg*(1-z)^hh, z = (x-cc)/dd 8020 Extreme 8021 y = aa + bb*exp(-exp(-z)-z+1), z = (x-cc)/dd 8030 Gaussian 8031 y = aa + bb*exp(-0.5*((x-cc)/dd)^2) 8040 Log Normal 8041 y = aa + bb*exp(-(ln(x)-cc)^2/dd) 8050 Logistic Peak 8051 y = aa + bb*exp(-z)/(1+exp(-z))^2, z = (x-cc)/dd 8060 Lorentz Equation 8061 y = aa+bb*(cos(x-cc))^dd 8070 Lorentz Peak 8071 y = aa + bb*dd/(4*(x-cc)^2 + dd^2) 8080 Bell 8081 y = aa + bb/(1+(x-cc)^2)^dd 8090 Pulse 8091 y = aa + bb*(1-exp(-(x-cc)/dd))^gg * exp(-(x-cc)/hh) 8100 Rectangle function 8101 y = aa+bb if cc-dd < x < cc+dd, else y = aa 8110 Triangle function 8111 y = aa+bb*(x-cc+dd)/dd if cc-dd < x < cc, else y = aa+bb*(cc+dd-x)/dd if x < cc+dd, else y = aa 8120 Asym. Gaussian 8121 y = aa + bb*exp(-(x-cc)^2/2dd^2) if x < cc, else y = aa + bb*exp(-(x-cc)^2/2gg^2) 8130 Asym. Power 8131 y = aa + bb*(x-cc)^dd if x < cc, else y = aa + bb*(x-cc)^gg 8140 Asym. Sigmoidal 8141 y = aa+ bb*(1/(1+exp(-(x-cc+gg/2)/dd)))*(1-1/(1+exp(-(x-cc-gg/2)/hh))) 8150 Inverse Polynomial 8151 y = aa + bb/(1 + gg*z^2 + hh*z^4 + kk*z^6), z=2(x-cc)/dd 8160 Pseudo-Voigt 8161 y = aa + bb*(gg/dd/(1+(2(x-cc)/dd)^2) + (1-gg)/hh*exp(-(2(x-cc)/hh)^2)) 8170 Gram-Charlier 8171 aa+ bb/dd/sqr(2pi)*exp(-z^2/2)*(1+H3*gg +H4*hh), z=(x-cc)/dd, H3(z)=(z3-3z)/6, H4(z)=(z4-6z3+3)/24 8180 Edgeworth-Cramer 8181 y = aa+ bb/dd/sqr(2pi)*exp(-z^2/2)*(1+H3*gg +H4*hh + H6*kk), z=(x-cc)/dd, H3(z)=(z3-3z)/6, H4(z)=(z4-6z3+3)/24, H6(z)=(z6-15z4+45z2-15)/72 8190 Beta Distribution*Exp 8191 y = aa + bb*(x-cc)^dd/(1+exp(x-gg)/kk)^hh 8200 Double exponential 8201 y = aa + bb*exp(-abs(x-cc)/dd) 8210 Weibull distribution 8211 y = aa + bb*z^(gg-1)*exp(-z^g), z = (x-cc)/dd 9000 Waveform 9010 Sinusoidal Fit 9011 y = aa + bb*cos(cc*x + dd) 9020 Sine 9021 y = aa*sin(PI*(x-bb)/cc) 9030 Sine2 9031 y = aa+bb*sin(PI*(x-cc)/dd) 9040 Sine Damp 9041 y = aa*sin(PI*(x-bb)/cc) * exp(-x/dd) 9050 Decaying Sinusoid 9051 y = (aa+bb*sin(cc*x+gg)) * exp(-x/dd) 9060 SineSqr 9061 y = aa*(sin(PI*(x-bb)/cc))^2 9070 SineSqr2 9071 y = aa+bb*(sin(PI*(x-cc)/dd))^2 9080 Truncated Fourier 1 9081 y = aa*cos(x+dd)+bb*cos(2*x+dd)+cc*cos(3*x+dd) 9090 Truncated Fourier 2 9091 y = aa+bb*cos(x+dd)+cc*cos(2*x+dd)+gg*cos(3*x+dd) 9100 Sinc 9101 y = aa+bb*sin(z)/z, z=PI*(x-cc)/dd 9200 SinSum2 9201 y = aa+bb*sin(PI*(x-cc)/dd)+gg*sin(PI*(x-hh)/kk) 9300 SinSum3 9301 y = aa+bb*sin(PI*x/cc)+dd*sin(PI*x/gg)+hh*sin(PI*x/kk) 10000 Asymptotic 10010 Asymptotic 1 10011 y = 1 - exp(-aa*x) 10020 Asymptotic 2-1 10021 y = 1 - aa^x 10030 Asymptotic 2-2 10031 y = cc+aa*(1-exp(-bbx)) 10040 Asymptotic 3-1 10041 y = aa - bb*cc^x 10050 Asymptotic 3-2 10051 y = aa*(bb-exp(-ccx)) 10060 Monomolecular 3-1 10061 y = aa*(1 - exp(-bb*(x-cc))) 10070 Monomolecular 3-2 10071 y = aa - b*exp(-cc*x) 10080 Box Lucas 2-1 10081 y = aa*(1 - exp(-bb*x)) 10090 Box Lucas 2-2 10091 y = (aa/(aa-bb))*(exp(-bb*x) - exp(-aa*x)) 10100 Chapman 10101 y = aa*(1 - exp(-bb*x))^cc 10110 Power Asymptotic 2-1 10111 y = aa*(1 - x^(-bb)) 10120 Power Asymptotic 2-2 10121 y = 1 - 1/(1 + aa*x)^bb 10200 Reciprocal Model 10201 y = 1 / (aa + bb*x) 10210 Reciprocal Quadratic 10211 y = 1 / (aa + bb*x + cc*x^2) 10220 Reciprocal Logarithm 10221 y = 1/(aa+bb*ln(x)) 10230 Bleasdale-Nelder3 10231 y = (aa + bb*x)^(-1/cc) 10240 Bleasdale-Nelder4 10241 y = (aa + bb*x^dd)^(-1/cc) 10250 Harris 10251 y = 1/(aa + bb*x^cc) 20000 Cartesian 20001 Polar 20002 Parametric 20010 Astroid 20011 x2/3 + y2/3 = aa^2/3 20013 x = aa*(cos(u))^3 20014 y = aa*(sin(u))^3 20020 Cardioid 20021 (x^2 + y^2 - 2aa*x)^2 = 4*aa^2*(x^2 + y^2) 20022 R = 2aa*(1 + cos(u)) 20023 x = aa*(2*cos(u) - cos(2*u)) 20024 y = aa*(2*sin(u) - sin(2(u)) 20030 Catenary 20031 y = aa*cosh(x/aa) 20040 Cayley's Sextic 20041 4(x^2 + y^2 - aa*x)3 = 27*a^2*(x^2 + y^2)^2 20042 R = 4aa*(cos(u/3))^3 20050 Circle 20051 x^2 + y^2 = aa^2 20052 R = aa 20053 x = aa*cos(u) 20054 y = aa*sin(u) 20060 Cissoid of Diocles 20061 y^2 = x^3/(2*aa - x) 20062 R = 2aa*tan(u)*sin(u) 20070 Cochleoid 20072 R = aa*sin(u)/u 20080 Conchoid 20081 (x - bb)^2*(x^2 + y^2) - aa^2*x^2 = 0 20082 R = aa + bb/cos(u) 20090 Conchoid of de Sluze 20091 aa*(x - aa)(x^2 + y^2) = cc^2*x^2 20092 aa*(r*cos(u) - aa) = bb^2*(cos(u))^2 20100 Cycloid 20103 x = aa*u - bb*sin(u) 20104 y = aa - bb*cos(u) 20110 Devil's Curve 20112 R = a*sqrt[(25 - 24(tan(u))^2)/(1 - (tan(u))^2)] 20120 Double Folium 20121 (x^2 + y^2)^2 = 4aa*x*y^2 20122 R = 4*aa*cos(u)*(sin(u))^2 20130 Eight Curve 20131 x^4 = aa^2*(x^2-y^2) 20132 R^2 = aa^2*cos(2*u)/(cos(u))^4 20140 Ellipse 20141 x^2/aa^2 + y^2/bb^2 = 1 20143 x = aa*cos(u) 20144 y = bb*sin(u) 20150 Epicycloid 20153 x = (aa + bb)*cos(u) - bb*cos((aa/bb + 1)*u) 20154 y = (aa + bb)*sin(u) - bb*sin((aa/bb + 1)*u) 20160 Epitrochoid 20163 x = (aa + bb)*cos(u) - cc*cos((aa/bb + 1)*u) 20164 y = (aa + bb)*sin(u) - cc*sin((aa/bb + 1)*u) 20170 Equiangular Spiral 20172 R = aa*exp(u/tan(bb)) 20180 Fermat's Spiral 20182 R^2 = a^2*u 20190 Folium 20192 R = -bb*cos(u) + 4*aa*cos(u)*sin(u)*sin(u) 20200 Folium of Descartes 20203 x = 3*aa*u/(1 + u^3) 20204 y = 3*aa*u^2/(1 + u^3) 20210 Freeth's Nephroid 20212 R = aa*(1 + 2*sin(u/2)) 20220 Hyperbola 20221 x^2/aa^2 - y^2/bb^2 = 1 20223 x = aa/cos(u) 20224 y = bb*tan(u) 20230 Hyperbolic Spiral 20232 R = aa/u 20240 Hypocycloid 20243 x = (aa - bb)*cos(u) + bb*cos((aa/bb - 1)*u) 20244 y = (aa - bb)*sin(u) - bb*sin((aa/bb - 1)*u) 20250 Hypotrochoid 20253 x = (aa - bb)*cos(u) + cc*cos((aa/bb -1)*u) 20254 y = (aa - bb)*sin(u) - cc*sin((aa/bb -1)*u) 20260 Involute of a Circle 20263 x = aa*(cos(u) + u*sin(u)) 20264 y = aa*(sin(u) - u*cos(u)) 20270 Kampyle of Eudoxus 20271 aa^2x^4 = bb^4(x^2 + y^2) 20272 R = bb^2/(aa*(cos(u))^2) 20280 Kappa Curve 20281 y^2*(x^2 + y^2) = aa^2*x^2 20282 R = aa/tan(u) 20290 Lame Curves 20291 (x/aa)^cc + (y/bb)^cc = 1 20293 x=aa*cos(u)^(2/cc) 20294 y=aa*sin(u)^(2/cc) 20300 Lemniscate of Bernoulli 20302 r^2 = a^2*cos(2*u) 20310 Limacon of Pascal 20312 R = bb + 2*aa*cos(u) 20320 Lissajous Curves 20323 x = aa*sin(dd*u + cc) 20324 y = bb*sin(u) 20330 Lituus 20332 R^2 = a^2/u 20340 Neile's Semi-cubical Parabola 20341 y^3 = a*x^2 20350 Nephroid (kidney shaped) 20353 x = aa*(3*cos(u) - cos(3*u)) 20354 y = aa*(3*sin(u) - sin(3*u)) 20360 Newton's Diverging Parabolas 20361 aa*y^2 = x*(x^2 - 2*bb*x + cc), a > 0 20370 Parabola 20371 y = aa*x^2 + bb*x + cc 20380 Pearls of Sluze 20381 y = bb*(aa - x)^cc*x^dd 20390 Pear-shaped Quartic 20391 bb^2*y^2 = x^3*(aa-x) 20400 Plateau Curves 20403 x = aa*sin(bb + cc)*u/sin((bb - cc)*u) 20404 y = 2*aa*sin(bb*u)*sin(cc*u)/sin((bb - cc)*u) 20410 Pursuit Curve 20411 y = aa*x^2 - log(x) 20420 Quadratrix of Hippias 20421 y = x/tan(x/2/aa) 20422 R = 2*aa*u/(PI*sin(u)) 20430 Rhodonea Curves 20432 R = aa* sin(bb*u) 20440 Right Strophoid 20441 y^2 = x^2*(aa - x)/(aa + x) 20442 R = bb*sin(aa - 2*u)/sin(aa - u) 20450 Serpentine 20451 x^2*y + aa*bb*y - a^2*x = 0, aa*bb > 0 20460 Sinusoidal Spirals 20462 R^bb = aa^bb*cos(bb*u) 20470 Spiral of Archimedes 20472 R = aa *u 20480 Spiric Sections 20481 (bb^2 - aa^2+ cc^2 + x^2 + y^2)^2 = 4*bb^2*(x^2 + c^2) 20490 Straight Line 20491 y = aa*x + bb 20493 x = aa*u + bb 20494 y = cc*u + dd 20500 Talbot's Curve 20503 x = (aa^2 + cc^2*(sin(u))^2)*cos(u)/aa 20504 y = (aa^2 - 2*cc^2 + cc^2*(sin(u))^2)*sin(u)/bb 20510 Tractrix (equitangential curve) 20513 x = aa/cosh(u) 20514 y = u - tanh(u) 20520 Tricuspoid (or deltoid) 20523 x = aa*(2*cos(u) + cos(2*u)) 20524 y = aa*(2*sin(u) - sin(2*u)) 20530 Trifolium (leaf-shaped) 20532 R = -bb*cos(u) + 4*aa*cos(u)*sin(u)*sin(u) 20540 Trisectrix of Maclaurin 20541 y^2*(aa + x) = x^2*(3*aa - x) 20542 R = 2*aa*sin(3*u)/sin(2*u) 20550 Tschirnhaus'S Cubic 20551 3*aa*y^2 = x*(x-aa)^2 20560 Watt's Curve 20562 R^2 = bb^2 - [aa*sin(u)(cc^2 - aa^2*(cos(u))^2)]^2 20570 Witch of Agnesi 20571 y*(x^2 + aa^2) = aa^3 20573 x = aa*u 20574 y = aa/(1 + u^2)