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- 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)
-