ZunZunSite3 List Of All Standard 3D Equations

3D BioScience

Chen-Clayton 3D		r.h.(Tk,M) = exp(-(C1/TC2) * exp(-C3*TC4*M))   [web citation]
Chen-Clayton Scaled 3D		z = Scale * exp(-(C1/TC2) * exp(-C3*TC4*M))   [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 + C2*T) * M-C3)   [web citation]
Modified Halsey Scaled 3D		z = Scale * exp(-exp(C1 + C2*T) * M-C3)   [web citation]
Modified Henderson 3D		r.h.(T,M) = 1 - exp(-C1 * (T + C2) * MC3)   [web citation]
Strohman-Yoerger 3D		r.h.(Ps,M) = exp(C1*exp(-C2*M)*ln(Ps) - C3*exp(-C4*M))   [web citation]
Chen-Clayton Scaled With Offset 3D		z = Scale * exp(-(C1/TC2) * exp(-C3*TC4*M)) + Offset   [web citation]
Chen-Clayton With Offset 3D		r.h.(Tk,M) = exp(-(C1/TC2) * exp(-C3*TC4*M)) + 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 Scaled With Offset 3D		z = Scale * exp(-exp(C1 + C2*T) * M-C3) + Offset   [web citation]
Modified Halsey With Offset 3D		r.h.(T,M) = exp(-exp(C1 + C2*T) * M-C3) + Offset   [web citation]
Modified Henderson With Offset 3D		r.h.(T,M) = 1 - exp(-C1 * (T + C2) * MC3) + Offset   [web citation]
Strohman-Yoerger With Offset 3D		r.h.(Ps,M) = exp(C1*exp(-C2*M)*ln(Ps) - C3*exp(-C4*M)) + Offset   [web citation]
High-Low Affinity Isotope Displacement (y = [Hot]) Plus Plane 3D		z = aby / (1+b(x+y)) z = z + (c * x) + (d * y) + f
Michaelis-Menten Isotope Displacement (y = [Hot]) Plus Plane 3D		z = ay / (b + x + y) z = z + (c * x) + (d * y) + f
Modified Chung-Pfost Plus Plane 3D		r.h.(T,M) = exp(-(C1/(T+C2)) * exp(-C3*M)) r.h.(T,M) = r.h.(T,M) + (d * x) + (f * y) + g   [web citation]
Modified Halsey Plus Plane 3D		r.h.(T,M) = exp(-exp(C1 + C2*T) * M-C3) r.h.(T,M) = r.h.(T,M) + (d * x) + (f * y) + g   [web citation]
Modified Henderson Plus Plane 3D		r.h.(T,M) = 1 - exp(-C1 * (T + C2) * MC3) r.h.(T,M) = r.h.(T,M) + (d * x) + (f * y) + g   [web citation]

3D EnzymeKinetics

Competitive Inhibition A 3D		z = ax / (b(1 + y/c) + x)
Competitive Inhibition B 3D		z = ay / (b(1 + x/c) + y)
Competitive Inhibition C 3D		z = axy / (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)
Inhibition By Competing Substrate C 3D		z = (axy/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)
Ping Pong Bi Bi C 3D		z = axy / (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
Competitive Inhibition C With Offset 3D		z = axy / (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
Inhibition By Competing Substrate C With Offset 3D		z = (axy/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
Ping Pong Bi Bi C With Offset 3D		z = axy / (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
Competitive Inhibition A Plus Plane 3D		z = ax / (b(1 + y/c) + x) z = z + (d * x) + (f * y) + g
Competitive Inhibition B Plus Plane 3D		z = ay / (b(1 + x/c) + y) z = z + (d * x) + (f * y) + g
Competitive Inhibition C Plus Plane 3D		z = axy / (b(1 + x/c) + y) z = z + (d * x) + (f * y) + g
Inhibition By Competing Substrate A Plus Plane 3D		z = (ax/b) / (1 + x/b + y/c) z = z + (d * x) + (f * y) + g
Inhibition By Competing Substrate B Plus Plane 3D		z = (ay/b) / (1 + y/b + x/c) z = z + (d * x) + (f * y) + g
Inhibition By Competing Substrate C Plus Plane 3D		z = (axy/b) / (1 + y/b + x/c) z = z + (d * x) + (f * y) + g
Noncompetitive Inhibition A Plus Plane 3D		z = ax / ((b + x)(1 + y/c)) z = z + (d * x) + (f * y) + g
Noncompetitive Inhibition B Plus Plane 3D		z = ay / ((b + y)(1 + x/c)) z = z + (d * x) + (f * y) + g
Ping Pong Bi Bi A Plus Plane 3D		z = ax / (bx + cy + xy) z = z + (d * x) + (f * y) + g
Ping Pong Bi Bi B Plus Plane 3D		z = ay / (by + cx + xy) z = z + (d * x) + (f * y) + g
Ping Pong Bi Bi C Plus Plane 3D		z = axy / (by + cx + xy) z = z + (d * x) + (f * y) + g
Uncompetitive Inhibition A Plus Plane 3D		z = ax / (b + x(1 + y/c)) z = z + (d * x) + (f * y) + g
Uncompetitive Inhibition B Plus Plane 3D		z = ay / (b + y(1 + x/c)) z = z + (d * x) + (f * y) + g

3D Exponential

Full Cubic Exponential 3D		z = a + b*exp(x) + c*exp(y) + d*exp(x)2 + f*exp(y)2 + g*exp(x)3 + h*exp(y)3 + i*exp(x)*exp(y) + j*exp(x)2*exp(y) + k*exp(x)*exp(y)2
Full Quadratic Exponential 3D		z = a + b*exp(x) + c*exp(y) + d*exp(x)2 + f*exp(y)2 + g*exp(x)*exp(y)
Linear Exponential 3D		z = a + b*exp(x) + c*exp(y)
Simplified Cubic Exponential 3D		z = a + b*exp(x) + c*exp(y) + d*exp(x)2 + e*exp(y)2 + f*exp(x)3 + g*exp(y)3
Simplified Quadratic Exponential 3D		z = a + b*exp(x) + c*exp(y) + d*exp(x)2 + f*exp(y)2
Transform Full Cubic Exponential 3D		z = a + b*exp(m*x+n) + c*exp(o*y+p) + d*exp(m*x+n)2 + f*exp(o*y+p)2 + g*exp(m*x+n)3 + h*exp(o*y+p)3 + i*exp(m*x+n)*exp(o*y+p) + j*exp(m*x+n)2*exp(o*y+p) + k*exp(m*x+n)*exp(o*y+p)2
Transform Full Quadratic Exponential 3D		z = a + b*exp(h*x+i) + c*exp(j*y+k) + d*exp(h*x+i)2 + e*exp(j*y+k)2 + f*exp(h*x+i)*exp(j*y+k)
Transform Linear Exponential 3D		z = a + b*exp(d*x+f) + c*exp(g*y+h)
Transform Simplified Cubic Exponential 3D		z = a + b*exp(i*x+j) + c*exp(k*y+m) + d*exp(i*x+j)2 + f*exp(k*y+m)2 + g*exp(i*x+j)3 + h*exp(k*y+m)3
Transform Simplified Quadratic Exponential 3D		z = a + b*exp(g*x+h) + c*exp(i*y+j) + d*exp(g*x+h)2 + f*exp(i*y+j)2

3D Logarithmic

Full Cubic Logarithmic 3D		z = a + b*ln(x) + c*ln(y) + d*ln(x)2 + f*ln(y)2 + g*ln(x)3 + h*ln(y)3 + i*ln(x)*ln(y) + j*ln(x)2*ln(y) + k*ln(x)*ln(y)2
Full Quadratic Logarithmic 3D		z = a + b*ln(x) + c*ln(y) + d*ln(x)2 + f*ln(y)2 + g*ln(x)*ln(y)
Linear Logarithmic 3D		z = a + b*ln(x) + c*ln(y)
Simplified Cubic Logarithmic 3D		z = a + b*ln(x) + c*ln(y) + d*ln(x)2 + f*ln(y)2 + g*ln(x)3 + h*ln(y)3
Simplified Quadratic Logarithmic 3D		z = a + b*ln(x) + c*ln(y) + d*ln(x)2 + f*ln(y)2
Transform Full Cubic Logarithmic 3D		z = a + b*ln(m*x+n) + c*ln(o*y+p) + d*ln(m*x+n)2 + f*ln(o*y+p)2 + g*ln(m*x+n)3 + h*ln(o*y+p)3 + i*ln(m*x+n)*ln(o*y+p) + j*ln(m*x+n)2*ln(o*y+p) + k*ln(m*x+n)*ln(o*y+p)2
Transform Full Quadratic Logarithmic 3D		z = a + b*ln(h*x+i) + c*ln(j*y+k) + d*ln(h*x+i)2 + f*ln(j*y+k)2 + g*ln(h*x+i)*ln(j*y+k)
Transform Linear Logarithmic 3D		z = a + b*ln(d*x+f) + c*ln(g*y+h)
Transform Simplified Cubic Logarithmic 3D		z = a + b*ln(i*x+j) + c*ln(k*y+m) + d*ln(i*x+j)2 + f*ln(k*y+m)2 + g*ln(i*x+j)3 + h*ln(k*y+m)3
Transform Simplified Quadratic Logarithmic 3D		z = a + b*ln(g*x+h) + c*ln(i*y+j) + d*ln(g*x+h)2 + f*ln(i*y+j)2

3D Miscellaneous

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 Paraboloid Scaled 3D		z = Scale * 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 + cx1.5y1.5
Mean Curvature Of Paraboloid 3D		z = 2 * (a + 2a3 * (x2 + y2)) / (1 + 4a2 * (x2 + y2))1.5
Mean Curvature Of Paraboloid Scaled 3D		z = Scale * (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 - cx2
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)(fx + g)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)
Rex Kelfkens' Custom Equation 3D		z = exp(A+B*ln(x)+C*ln(y))
Rex Kelfkens' Custom Equation Transform 3D		z = exp(A+B*ln(x * xscale + xoffset)+C*ln(y * yscale + yoffset))
Gary Cler's Custom Equation Transform With Offset 3D		z = a * (dx + f)b * (gy + h)c + Offset
Gaussian Curvature Of Paraboloid Scaled With Offset 3D		z = Scale * 4a2 / (1 + 4a2 * (x2 + y2))2 + 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 + cx1.5y1.5 + Offset
Mean Curvature Of Paraboloid Scaled With Offset 3D		z = Scale * (a + 2a3 * (x2 + y2)) / (1 + 4a2 * (x2 + y2))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 - cx2 + 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)(fx + g)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
Rex Kelfkens' Custom Equation Transform With Offset 3D		z = exp(A+B*ln(x * xscale + xoffset)+C*ln(y * yscale + yoffset)) + Offset
Rex Kelfkens' Custom Equation With Offset 3D		z = exp(A+B*ln(x)+C*ln(y)) + Offset
Gaussian Curvature Of Paraboloid Plus Plane 3D		z = 4a2 / (1 + 4a2 * (x2 + y2))2 z = z + (b * x) + (c * y) + d
Gaussian Curvature Of Paraboloid Scaled Plus Plane 3D		z = Scale * 4a2 / (1 + 4a2 * (x2 + y2))2 z = z + (c * x) + (d * y) + f
Gaussian Curvature Of Richmond's Minimal Surface Plus Plane 3D		z = -1.0 * a * (x2 + y2)3 / (b + (x2 + y2)2)4 z = z + (c * x) + (d * y) + f
Gaussian Curvature Of Whitney's Umbrella A Plus Plane 3D		z = -1.0 * a * y2 / (x2 + a * (y2 + y4))2 z = z + (b * x) + (c * y) + d
Gaussian Curvature Of Whitney's Umbrella B Plus Plane 3D		z = -1.0 * a * x2 / (y2 + a * (x2 + x4))2 z = z + (b * x) + (c * y) + d
Liping Zheng's core loss coefficients Plus Plane 3D		z = ax2y + bx2y2 + cx1.5y1.5 z = z + (d * x) + (f * y) + g
Mean Curvature Of Paraboloid Plus Plane 3D		z = 2 * (a + 2a3 * (x2 + y2)) / (1 + 4a2 * (x2 + y2))1.5 z = z + (b * x) + (c * y) + d
Mean Curvature Of Paraboloid Scaled Plus Plane 3D		z = Scale * (a + 2a3 * (x2 + y2)) / (1 + 4a2 * (x2 + y2))1.5 z = z + (c * x) + (d * y) + f
Mean Curvature Of Whitney's Umbrella A Plus Plane 3D		z = -1.0 * x * (a + b * y2) / (x2 + a * (y2 + y4))1.5 z = z + (c * x) + (d * y) + f
Mean Curvature Of Whitney's Umbrella B Plus Plane 3D		z = -1.0 * y * (a + b * x2) / (y2 + a * (x2 + x4))1.5 z = z + (c * x) + (d * y) + f
Menn's Surface A Plus Plane 3D		z = ax4 + bx2y - cy2 z = z + (d * x) + (f * y) + g
Menn's Surface B Plus Plane 3D		z = ay4 + by2x - cx2 z = z + (d * x) + (f * y) + g
Monkey Saddle A Plus Plane 3D		z = ax3 - bxy2 z = z + (c * x) + (d * y) + f
Monkey Saddle B Plus Plane 3D		z = ay3 - byx2 z = z + (c * x) + (d * y) + f
Paraboloid Plus Plane 3D		z = a * (x2 + y2) z = z + (b * x) + (c * y) + d
Paschen's Law for Breakdown Field Strength Plus Plane 3D		Ebreakdown = pressure * (a / (ln(pressure * distance) + b)) Ebreakdown = Ebreakdown + (c * x) + (d * y) + f
Paschen's Law for Breakdown Voltage Plus Plane 3D		Vbreakdown = a(pressure * distance) / (ln(pressure * distance) + b) Vbreakdown = Vbreakdown + (c * x) + (d * y) + f
Rex Kelfkens' Custom Equation Plus Plane 3D		z = exp(A+B*ln(x)+C*ln(y)) z = z + (d * x) + (f * y) + g

3D NIST

NIST Nelson 3D		log(y) = b1 - b2 * X1 * exp(-b3*X2)   [web citation]
NIST Nelson Autolog 3D		z = exp(b1 - b2 * x * exp(-b3*y))   [web citation]
NIST Nelson Autolog With Offset 3D		z = exp(b1 - b2 * x * exp(-b3*y)) + Offset   [web citation]
NIST Nelson Autolog Plus Plane 3D		z = exp(b1 - b2 * x * exp(-b3*y)) z = z + (d * x) + (f * y) + g   [web citation]

3D Optical

Sag For Asphere 0 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2)   [web citation]
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 Scaled 3D		s2 = x2 + y2 z = Scale * (s2/r) / (1+(1-(k+1)(s/r)2)1/2)   [web citation]
Sag For Asphere 1 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4   [web citation]
Sag For Asphere 2 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6   [web citation]
Sag For Asphere 3 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6 + A8*s8   [web citation]
Transform Sag For Asphere 0 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2)   [web citation]
Transform Sag For Asphere 1 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4   [web citation]
Transform Sag For Asphere 2 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6   [web citation]
Transform Sag For Asphere 3 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6 + A8*s8   [web citation]
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
Sag For Asphere 0 Scaled With Offset 3D		s2 = x2 + y2 z = Scale * (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + Offset   [web citation]
Sag For Asphere 0 With Offset 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + Offset   [web citation]
Sag For Asphere 1 With Offset 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + Offset   [web citation]
Sag For Asphere 2 With Offset 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6 + Offset   [web citation]
Sag For Asphere 3 With Offset 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6 + A8*s8 + Offset   [web citation]
Transform Sag For Asphere 0 With Offset 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + Offset   [web citation]
Transform Sag For Asphere 1 With Offset 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + Offset   [web citation]
Transform Sag For Asphere 2 With Offset 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6 + Offset   [web citation]
Transform Sag For Asphere 3 With Offset 3D		s2 = (ax+b)2 + (cy+d)2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 + A6*s6 + A8*s8 + Offset   [web citation]
Sag For Asphere 0 Plus Plane 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) z = z + (c * x) + (d * y) + f   [web citation]
Sag For Asphere 0 Scaled Plus Plane 3D		s2 = x2 + y2 z = Scale * (s2/r) / (1+(1-(k+1)(s/r)2)1/2) z = z + (d * x) + (f * y) + g   [web citation]
Sag For Asphere 1 Plus Plane 3D		s2 = x2 + y2 z = (s2/r) / (1+(1-(k+1)(s/r)2)1/2) + A4*s4 z = z + (d * x) + (f * y) + g   [web citation]

3D Peak

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

3D Polyfunctional

User-Selectable Polyfunctional 3D		z = user-selectable function

3D Polynomial

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

3D Power

Power A 3D		z = a * (xb + yc)
Power B 3D		z = a + xb + yc
Power C 3D		z = a + xb * yc
Power D 3D		z = axb + cyd
Power E 3D		z = a * xb * yc
Transform Power A 3D		z = a * ((dx + f)b + (gy + h)c)
Transform Power B 3D		z = a + (dx + f)b + (gy + h)c
Transform Power C 3D		z = a + (dx + f)b * (gy + h)c
Transform Power D 3D		z = a(fx + g)b + c(hy + i)d
Transform Power E 3D		z = a * (dx + f)b * (gy + h)c
Power A With Offset 3D		z = a * (xb + yc) + Offset
Power D With Offset 3D		z = axb + cyd + Offset
Power E With Offset 3D		z = a * xb * yc + Offset
Transform Power A With Offset 3D		z = a * ((dx + f)b + (gy + h)c) + Offset
Transform Power D With Offset 3D		z = a(fx + g)b + c(hy + i)d + Offset
Transform Power E With Offset 3D		z = a * (dx + f)b * (gy + h)c + Offset
Power A Plus Plane 3D		z = a * (xb + yc) z = z + (d * x) + (f * y) + g
Power E Plus Plane 3D		z = a * xb * yc z = z + (d * x) + (f * y) + g

3D Rational

Rational A 3D		z = (a + bx + cy)/(1 + dx + fy)
Rational B 3D		z = (a + b*ln(x) + c*ln(y))/(1 + dx + fy)
Rational C 3D		z = (a + b*exp(x) + c*ln(y))/(1 + dx + fy)
Rational D 3D		z = (a + b*ln(x) + c*exp(y))/(1 + dx + fy)
Rational E 3D		z = (a + b*exp(x) + c*exp(y))/(1 + dx + fy)
Rational F 3D		z = (a + bx + cy)/(1 + d*ln(x) + f*ln(y))
Rational G 3D		z = (a + bx + cy)/(1 + d*exp(x) + f*ln(y))
Rational H 3D		z = (a + bx + cy)/(1 + d*ln(x) + f*exp(y))
Rational I 3D		z = (a + bx + cy)/(1 + d*exp(x) + f*exp(y))
Rational J 3D		z = (a + b*ln(x) + c*ln(y))/(1 + d*ln(x) + f*ln(y))
Rational K 3D		z = (a + b*exp(x) + c*ln(y))/(1 + d*exp(x) + f*ln(y))
Rational L 3D		z = (a + b*ln(x) + c*exp(y))/(1 + d*ln(x) + f*exp(y))
Rational M 3D		z = (a + b*exp(x) + c*exp(y))/(1 + d*exp(x) + f*exp(y))
Rational N 3D		z = (a + bx + cy + dxy)/(1 + fx + gy + hxy)
Rational O 3D		z = (a + b*ln(x) + c*ln(y) + d*ln(x)ln(y))/(1 + fx + gy + hxy)
Rational P 3D		z = (a + b*exp(x) + c*ln(y) + d*exp(x)ln(y))/(1 + fx + gy + hxy)
Rational Q 3D		z = (a + b*ln(x) + c*exp(y) + d*ln(x)exp(y))/(1 + fx + gy + hxy)
Rational R 3D		z = (a + b*exp(x) + c*exp(y) + d*exp(x)exp(y))/(1 + fx + gy + hxy)
Rational S 3D		z = (a + bx + cy + dxy)/(1 + f*ln(x) + g*ln(y) + h*ln(x)*ln(y))
Rational T 3D		z = (a + bx + cy + dxy)/(1 + f*exp(x) + g*ln(y) + h*exp(x)*ln(y))
Rational U 3D		z = (a + bx + cy + dxy)/(1 + f*ln(x) + g*exp(y) + h*ln(x)*exp(y))
Rational V 3D		z = (a + bx + cy + dxy)/(1 + f*exp(x) + g*exp(y) + h*exp(x)*exp(y))
Rational W 3D		z = (a + b*ln(x) + c*ln(y) + d*ln(x)*ln(y))/(1 + f*ln(x) + g*ln(y) + h*ln(x)*ln(y))
Rational X 3D		z = (a + b*exp(x) + c*ln(y) + d*exp(x)*ln(y))/(1 + f*exp(x) + g*ln(y) + h*exp(x)*ln(y))
Rational Y 3D		z = (a + b*ln(x) + c*exp(y) + d*ln(x)*exp(y))/(1 + f*ln(x) + g*exp(y) + h*ln(x)*exp(y))
Rational Z 3D		z = (a + b*exp(x) + c*exp(y) + d*exp(x)*exp(y))/(1 + f*exp(x) + g*exp(y) + h*exp(x)*exp(y))
Rational A With Offset 3D		z = (a + bx + cy)/(1 + dx + fy) + Offset
Rational B With Offset 3D		z = (a + b*ln(x) + c*ln(y))/(1 + dx + fy) + Offset
Rational C With Offset 3D		z = (a + b*exp(x) + c*ln(y))/(1 + dx + fy) + Offset
Rational D With Offset 3D		z = (a + b*ln(x) + c*exp(y))/(1 + dx + fy) + Offset
Rational E With Offset 3D		z = (a + b*exp(x) + c*exp(y))/(1 + dx + fy) + Offset
Rational F With Offset 3D		z = (a + bx + cy)/(1 + d*ln(x) + f*ln(y)) + Offset
Rational G With Offset 3D		z = (a + bx + cy)/(1 + d*exp(x) + f*ln(y)) + Offset
Rational H With Offset 3D		z = (a + bx + cy)/(1 + d*ln(x) + f*exp(y)) + Offset
Rational I With Offset 3D		z = (a + bx + cy)/(1 + d*exp(x) + f*exp(y)) + Offset
Rational J With Offset 3D		z = (a + b*ln(x) + c*ln(y))/(1 + d*ln(x) + f*ln(y)) + Offset
Rational K With Offset 3D		z = (a + b*exp(x) + c*ln(y))/(1 + d*exp(x) + f*ln(y)) + Offset
Rational L With Offset 3D		z = (a + b*ln(x) + c*exp(y))/(1 + d*ln(x) + f*exp(y)) + Offset
Rational M With Offset 3D		z = (a + b*exp(x) + c*exp(y))/(1 + d*exp(x) + f*exp(y)) + Offset
Rational N With Offset 3D		z = (a + bx + cy + dxy)/(1 + fx + gy + hxy) + Offset
Rational O With Offset 3D		z = (a + b*ln(x) + c*ln(y) + d*ln(x)ln(y))/(1 + fx + gy + hxy) + Offset
Rational P With Offset 3D		z = (a + b*exp(x) + c*ln(y) + d*exp(x)ln(y))/(1 + fx + gy + hxy) + Offset
Rational Q With Offset 3D		z = (a + b*ln(x) + c*exp(y) + d*ln(x)exp(y))/(1 + fx + gy + hxy) + Offset
Rational R With Offset 3D		z = (a + b*exp(x) + c*exp(y) + d*exp(x)exp(y))/(1 + fx + gy + hxy) + Offset
Rational S With Offset 3D		z = (a + bx + cy + dxy)/(1 + f*ln(x) + g*ln(y) + h*ln(x)*ln(y)) + Offset
Rational T With Offset 3D		z = (a + bx + cy + dxy)/(1 + f*exp(x) + g*ln(y) + h*exp(x)*ln(y)) + Offset
Rational U With Offset 3D		z = (a + bx + cy + dxy)/(1 + f*ln(x) + g*exp(y) + h*ln(x)*exp(y)) + Offset
Rational V With Offset 3D		z = (a + bx + cy + dxy)/(1 + f*exp(x) + g*exp(y) + h*exp(x)*exp(y)) + Offset
Rational W With Offset 3D		z = (a + b*ln(x) + c*ln(y) + d*ln(x)*ln(y))/(1 + f*ln(x) + g*ln(y) + h*ln(x)*ln(y)) + Offset
Rational X With Offset 3D		z = (a + b*exp(x) + c*ln(y) + d*exp(x)*ln(y))/(1 + f*exp(x) + g*ln(y) + h*exp(x)*ln(y)) + Offset
Rational Y With Offset 3D		z = (a + b*ln(x) + c*exp(y) + d*ln(x)*exp(y))/(1 + f*ln(x) + g*exp(y) + h*ln(x)*exp(y)) + Offset
Rational Z With Offset 3D		z = (a + b*exp(x) + c*exp(y) + d*exp(x)*exp(y))/(1 + f*exp(x) + g*exp(y) + h*exp(x)*exp(y)) + Offset

3D RomanSurfaces

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 3D		z = Scale * (k(y2-x2) + (x2-y2)sqrt(k2-x2-y2)) / (2(x2+y2))
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) Scaled With Offset 3D		z = Scale * (k(y2-x2) + (x2-y2)sqrt(k2-x2-y2)) / (2(x2+y2)) + Offset
Roman Surface (plus) With Offset 3D		z = (k(y2-x2) + (x2-y2)sqrt(k2-x2-y2)) / (2(x2+y2)) + Offset
Roman Surface (minus) Offset XY Plus Plane 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)) z = z + (d * x) + (f * y) + g
Roman Surface (minus) Plus Plane 3D		z = (k(y2-x2) - (x2-y2)sqrt(k2-x2-y2)) / (2(x2+y2)) z = z + (b * x) + (c * y) + d
Roman Surface (plus) Offset XY Plus Plane 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)) z = z + (d * x) + (f * y) + g
Roman Surface (plus) Plus Plane 3D		z = (k(y2-x2) + (x2-y2)sqrt(k2-x2-y2)) / (2(x2+y2)) z = z + (b * x) + (c * y) + d
Roman Surface (plus) Scaled Plus Plane 3D		z = Scale * (k(y2-x2) + (x2-y2)sqrt(k2-x2-y2)) / (2(x2+y2)) z = z + (c * x) + (d * y) + f

3D Sigmoidal

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

3D Simple

Simple Equation 01 3D		z = a*pow(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 = a*pow(x,b*y)
Simple Equation 05 3D		z = a*pow(y,b*x)
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 = a*x+b*pow(y,2.0)
Simple Equation 09 3D		z = a*y+b*pow(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 = a*pow(b,x)*pow(y,c)
Simple Equation 13 3D		z = a*pow(b,y)*pow(x,c)
Simple Equation 14 3D		z = a*pow(x*y,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 = a*pow(b,1.0/y)*pow(x,c)
Simple Equation 18 3D		z = a*pow(x/b,c)*exp(y/b)
Simple Equation 19 3D		z = a*pow(y/b,c)*exp(x/b)
Simple Equation 20 3D		z = a*pow(x,b+c*y)
Simple Equation 21 3D		z = a*pow(y,b+c*x)
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 = a*pow(x,b+c*ln(y))
Simple Equation 25 3D		z = a*pow(y,b+c*ln(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 = a*exp(b*x+c*pow(y,2.0))
Simple Equation 29 3D		z = a*exp(b*y+c*pow(x,2.0))
Simple Equation 30 3D		z = a*exp(b/x+c*y)
Simple Equation 31 3D		z = a*exp(b/y+c*x)
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(b*x)-exp(c*y))
Simple Equation 37 3D		z = a*pow(x,b*pow(y,c))
Simple Equation 38 3D		z = a*pow(y,b*pow(x,c))
Simple Equation 39 3D		z = x/(a+b*y+c*pow(y,0.5))
Simple Equation 40 3D		z = y/(a+b*x+c*pow(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 = a*pow(x,b)*ln(y+c)
Simple Equation 44 3D		z = a*pow(y,b)*ln(x+c)
Simple Equation 01 With Offset 3D		z = a*pow(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 = a*pow(x,b*y) + Offset
Simple Equation 05 With Offset 3D		z = a*pow(y,b*x) + 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 = a*x+b*pow(y,2.0) + Offset
Simple Equation 09 With Offset 3D		z = a*y+b*pow(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 = a*pow(b,x)*pow(y,c) + Offset
Simple Equation 13 With Offset 3D		z = a*pow(b,y)*pow(x,c) + Offset
Simple Equation 14 With Offset 3D		z = a*pow(x*y,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 = a*pow(b,1.0/y)*pow(x,c) + Offset
Simple Equation 18 With Offset 3D		z = a*pow(x/b,c)*exp(y/b) + Offset
Simple Equation 19 With Offset 3D		z = a*pow(y/b,c)*exp(x/b) + Offset
Simple Equation 20 With Offset 3D		z = a*pow(x,b+c*y) + Offset
Simple Equation 21 With Offset 3D		z = a*pow(y,b+c*x) + 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 = a*pow(x,b+c*ln(y)) + Offset
Simple Equation 25 With Offset 3D		z = a*pow(y,b+c*ln(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 = a*exp(b*x+c*pow(y,2.0)) + Offset
Simple Equation 29 With Offset 3D		z = a*exp(b*y+c*pow(x,2.0)) + Offset
Simple Equation 30 With Offset 3D		z = a*exp(b/x+c*y) + Offset
Simple Equation 31 With Offset 3D		z = a*exp(b/y+c*x) + 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(b*x)-exp(c*y)) + Offset
Simple Equation 37 With Offset 3D		z = a*pow(x,b*pow(y,c)) + Offset
Simple Equation 38 With Offset 3D		z = a*pow(y,b*pow(x,c)) + Offset
Simple Equation 39 With Offset 3D		z = x/(a+b*y+c*pow(y,0.5)) + Offset
Simple Equation 40 With Offset 3D		z = y/(a+b*x+c*pow(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 = a*pow(x,b)*ln(y+c) + Offset
Simple Equation 44 With Offset 3D		z = a*pow(y,b)*ln(x+c) + Offset
Simple Equation 01 Plus Plane 3D		z = a*pow(x,b)*pow(y,c) z = z + (d * x) + (f * y) + g
Simple Equation 02 Plus Plane 3D		z = x/(a+b*y) z = z + (c * x) + (d * y) + f
Simple Equation 03 Plus Plane 3D		z = y/(a+b*x) z = z + (c * x) + (d * y) + f
Simple Equation 04 Plus Plane 3D		z = a*pow(x,b*y) z = z + (c * x) + (d * y) + f
Simple Equation 05 Plus Plane 3D		z = a*pow(y,b*x) z = z + (c * x) + (d * y) + f
Simple Equation 06 Plus Plane 3D		z = a*pow(x,b/y) z = z + (c * x) + (d * y) + f
Simple Equation 07 Plus Plane 3D		z = a*pow(y,b/x) z = z + (c * x) + (d * y) + f
Simple Equation 08 Plus Plane 3D		z = a*x+b*pow(y,2.0) z = z + (c * x) + (d * y) + f
Simple Equation 09 Plus Plane 3D		z = a*y+b*pow(x,2.0) z = z + (c * x) + (d * y) + f
Simple Equation 10 Plus Plane 3D		z = x/(a+b*pow(y,2.0)) z = z + (c * x) + (d * y) + f
Simple Equation 11 Plus Plane 3D		z = y/(a+b*pow(x,2.0)) z = z + (c * x) + (d * y) + f
Simple Equation 12 Plus Plane 3D		z = a*pow(b,x)*pow(y,c) z = z + (d * x) + (f * y) + g
Simple Equation 13 Plus Plane 3D		z = a*pow(b,y)*pow(x,c) z = z + (d * x) + (f * y) + g
Simple Equation 14 Plus Plane 3D		z = a*pow(x*y,b) z = z + (c * x) + (d * y) + f
Simple Equation 15 Plus Plane 3D		z = a*pow(x/y,b) z = z + (c * x) + (d * y) + f
Simple Equation 16 Plus Plane 3D		z = a*(pow(b,1.0/x))*pow(y,c) z = z + (d * x) + (f * y) + g
Simple Equation 17 Plus Plane 3D		z = a*pow(b,1.0/y)*pow(x,c) z = z + (d * x) + (f * y) + g
Simple Equation 18 Plus Plane 3D		z = a*pow(x/b,c)*exp(y/b) z = z + (d * x) + (f * y) + g
Simple Equation 19 Plus Plane 3D		z = a*pow(y/b,c)*exp(x/b) z = z + (d * x) + (f * y) + g
Simple Equation 20 Plus Plane 3D		z = a*pow(x,b+c*y) z = z + (d * x) + (f * y) + g
Simple Equation 21 Plus Plane 3D		z = a*pow(y,b+c*x) z = z + (d * x) + (f * y) + g
Simple Equation 22 Plus Plane 3D		z = a*pow(x,b+c/y) z = z + (d * x) + (f * y) + g
Simple Equation 23 Plus Plane 3D		z = a*pow(y,b+c/x) z = z + (d * x) + (f * y) + g
Simple Equation 24 Plus Plane 3D		z = a*pow(x,b+c*ln(y)) z = z + (d * x) + (f * y) + g
Simple Equation 25 Plus Plane 3D		z = a*pow(y,b+c*ln(x)) z = z + (d * x) + (f * y) + g
Simple Equation 26 Plus Plane 3D		z = a*pow(y,b+c/ln(x)) z = z + (d * x) + (f * y) + g
Simple Equation 27 Plus Plane 3D		z = a*pow(x,b+c/ln(y)) z = z + (d * x) + (f * y) + g
Simple Equation 28 Plus Plane 3D		z = a*exp(b*x+c*pow(y,2.0)) z = z + (d * x) + (f * y) + g
Simple Equation 29 Plus Plane 3D		z = a*exp(b*y+c*pow(x,2.0)) z = z + (d * x) + (f * y) + g
Simple Equation 30 Plus Plane 3D		z = a*exp(b/x+c*y) z = z + (d * x) + (f * y) + g
Simple Equation 31 Plus Plane 3D		z = a*exp(b/y+c*x) z = z + (d * x) + (f * y) + g
Simple Equation 32 Plus Plane 3D		z = (a+x)/(b+c*y) z = z + (d * x) + (f * y) + g
Simple Equation 33 Plus Plane 3D		z = (a+y)/(b+c*x) z = z + (d * x) + (f * y) + g
Simple Equation 34 Plus Plane 3D		z = (a+x)/(b+c*pow(y,2.0)) z = z + (d * x) + (f * y) + g
Simple Equation 35 Plus Plane 3D		z = (a+y)/(b+c*pow(x,2.0)) z = z + (d * x) + (f * y) + g
Simple Equation 36 Plus Plane 3D		z = a*(exp(b*x)-exp(c*y)) z = z + (d * x) + (f * y) + g
Simple Equation 37 Plus Plane 3D		z = a*pow(x,b*pow(y,c)) z = z + (d * x) + (f * y) + g
Simple Equation 38 Plus Plane 3D		z = a*pow(y,b*pow(x,c)) z = z + (d * x) + (f * y) + g
Simple Equation 39 Plus Plane 3D		z = x/(a+b*y+c*pow(y,0.5)) z = z + (d * x) + (f * y) + g
Simple Equation 40 Plus Plane 3D		z = y/(a+b*x+c*pow(x,0.5)) z = z + (d * x) + (f * y) + g
Simple Equation 41 Plus Plane 3D		z = exp(a+b/x+c*ln(y)) z = z + (d * x) + (f * y) + g
Simple Equation 42 Plus Plane 3D		z = exp(a+b/y+c*ln(x)) z = z + (d * x) + (f * y) + g
Simple Equation 43 Plus Plane 3D		z = a*pow(x,b)*ln(y+c) z = z + (d * x) + (f * y) + g
Simple Equation 44 Plus Plane 3D		z = a*pow(y,b)*ln(x+c) z = z + (d * x) + (f * y) + g

3D TaylorSeries

Taylor Series A 3D		z = a + bx + cy + dx2 + fy2 + gxy
Taylor Series B 3D		z = a + b*ln(x) + cy + d*ln(x)2 + fy2 + g*ln(x)*y
Taylor Series C 3D		z = a + bx + c*ln(y) + dx2 + f*ln(y)2 + g*x*ln(y)
Taylor Series D 3D		z = a + b*ln(x) + c*ln(y) + d*ln(x)2 + f*ln(y)2 + g*ln(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 + c*ln(y) + d/x2 + f*ln(y)2 + g*ln(y)/x
Taylor Series H 3D		z = a + b/ln(x) + c*ln(y) + d/ln(x)2 + f*ln(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 + b*ln(x) + c/y + d*ln(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 + b*ln(x) + c/ln(y) + d*ln(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))

3D Trigonometric

Cosh X Plus Cosh Y [radians] 3D		z = amplitude_x * cosh(pi * (x - center_x) / width_x) + amplitude_y * cosh(pi * (y - center_y) / width_y)
Cosh X Plus Sine Y [radians] 3D		z = amplitude_x * cosh(pi * (x - center_x) / width_x) + amplitude_y * sin(pi * (y - center_y) / width_y)
Cosh X Plus Tangent Y [radians] 3D		z = amplitude_x * cosh(pi * (x - center_x) / width_x) + amplitude_y * tan(pi * (y - center_y) / width_y)
Cosh X Times Cosh Y[radians] 3D		z = amplitude * cosh(pi * (x - center_x) / width_x) * cosh(pi * (y - center_y) / width_y)
Cosh X Times Sine Y [radians] 3D		z = amplitude * cosh(pi * (x - center_x) / width_x) * sin(pi * (y - center_y) / width_y)
Cosh X Times Tangent Y [radians] 3D		z = amplitude * cosh(pi * (x - center_x) / width_x) * tan(pi * (y - center_y) / width_y)
Cosh XY [radians] 3D		z = amplitude * cosh(pi * (xy - center) / width)
Reza's Custom Equation One [radians] 3D		z = (cos(a*x - b*y) + sin(c*x - d*y))n - (cos(f*x - g*y) + sin(h*x- i*y))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(E*x+F))2 - (sin(E*y+G))2
Sine X Plus Cosh Y [radians] 3D		z = amplitude_x * sin(pi * (x - center_x) / width_x) + amplitude_y * cosh(pi * (y - center_y) / width_y)
Sine X Plus Sine Y [radians] 3D		z = amplitude_x * sin(pi * (x - center_x) / width_x) + amplitude_y * sin(pi * (y - center_y) / width_y)
Sine X Plus Tangent Y [radians] 3D		z = amplitude_x * sin(pi * (x - center_x) / width_x) + amplitude_y * tan(pi * (y - center_y) / width_y)
Sine X Times Cosh Y [radians] 3D		z = amplitude * sine(pi * (x - center_x) / width_x) * cosh(pi * (y - center_y) / width_y)
Sine X Times Sine Y [radians] 3D		z = amplitude * sin(pi * (x - center_x) / width_x) * sin(pi * (y - center_y) / width_y)
Sine X Times Tangent Y [radians] 3D		z = amplitude * sin(pi * (x - center_x) / width_x) * tan(pi * (y - center_y) / width_y)
Sine XY [radians] 3D		z = amplitude * sin(pi * (xy - center) / width)
Tangent X Plus Cosh Y [radians] 3D		z = amplitude_x * tan(pi * (x - center_x) / width_x) + amplitude_y * cosh(pi * (y - center_y) / width_y)
Tangent X Plus Sine Y [radians] 3D		z = amplitude_x * tan(pi * (x - center_x) / width_x) + amplitude_y * sin(pi * (y - center_y) / width_y)
Tangent X Plus Tangent Y [radians] 3D		z = amplitude_x * tan(pi * (x - center_x) / width_x) + amplitude_y * tan(pi * (y - center_y) / width_y)
Tangent X Times Cosh Y [radians] 3D		z = amplitude * tan(pi * (x - center_x) / width_x) * cosh(pi * (y - center_y) / width_y)
Tangent X Times Sine Y [radians] 3D		z = amplitude * tan(pi * (x - center_x) / width_x) * sin(pi * (y - center_y) / width_y)
Tangent X Times Tangent Y [radians] 3D		z = amplitude * tan(pi * (x - center_x) / width_x) * tan(pi * (y - center_y) / width_y)
Tangent XY [radians] 3D		z = amplitude * tan(pi * (xy - center) / width)
Cosh X Plus Cosh Y [radians] With Offset 3D		z = amplitude_x * cosh(pi * (x - center_x) / width_x) + amplitude_y * cosh(pi * (y - center_y) / width_y) + Offset
Cosh X Plus Sine Y [radians] With Offset 3D		z = amplitude_x * cosh(pi * (x - center_x) / width_x) + amplitude_y * sin(pi * (y - center_y) / width_y) + Offset
Cosh X Plus Tangent Y [radians] With Offset 3D		z = amplitude_x * cosh(pi * (x - center_x) / width_x) + amplitude_y * tan(pi * (y - center_y) / width_y) + Offset
Cosh X Times Cosh Y[radians] With Offset 3D		z = amplitude * cosh(pi * (x - center_x) / width_x) * cosh(pi * (y - center_y) / width_y) + Offset
Cosh X Times Sine Y [radians] With Offset 3D		z = amplitude * cosh(pi * (x - center_x) / width_x) * sin(pi * (y - center_y) / width_y) + Offset
Cosh X Times Tangent Y [radians] With Offset 3D		z = amplitude * cosh(pi * (x - center_x) / width_x) * tan(pi * (y - center_y) / width_y) + Offset
Cosh XY [radians] With Offset 3D		z = amplitude * cosh(pi * (xy - center) / width) + Offset
Reza's Custom Equation One [radians] With Offset 3D		z = (cos(a*x - b*y) + sin(c*x - d*y))n - (cos(f*x - g*y) + sin(h*x- i*y))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(E*x+F))2 - (sin(E*y+G))2 + Offset
Sine X Plus Cosh Y [radians] With Offset 3D		z = amplitude_x * sin(pi * (x - center_x) / width_x) + amplitude_y * cosh(pi * (y - center_y) / width_y) + Offset
Sine X Plus Sine Y [radians] With Offset 3D		z = amplitude_x * sin(pi * (x - center_x) / width_x) + amplitude_y * sin(pi * (y - center_y) / width_y) + Offset
Sine X Plus Tangent Y [radians] With Offset 3D		z = amplitude_x * sin(pi * (x - center_x) / width_x) + amplitude_y * tan(pi * (y - center_y) / width_y) + Offset
Sine X Times Cosh Y [radians] With Offset 3D		z = amplitude * sine(pi * (x - center_x) / width_x) * cosh(pi * (y - center_y) / width_y) + Offset
Sine X Times Sine Y [radians] With Offset 3D		z = amplitude * sin(pi * (x - center_x) / width_x) * sin(pi * (y - center_y) / width_y) + Offset
Sine X Times Tangent Y [radians] With Offset 3D		z = amplitude * sin(pi * (x - center_x) / width_x) * tan(pi * (y - center_y) / width_y) + Offset
Sine XY [radians] With Offset 3D		z = amplitude * sin(pi * (xy - center) / width) + Offset
Tangent X Plus Cosh Y [radians] With Offset 3D		z = amplitude_x * tan(pi * (x - center_x) / width_x) + amplitude_y * cosh(pi * (y - center_y) / width_y) + Offset
Tangent X Plus Sine Y [radians] With Offset 3D		z = amplitude_x * tan(pi * (x - center_x) / width_x) + amplitude_y * sin(pi * (y - center_y) / width_y) + Offset
Tangent X Plus Tangent Y [radians] With Offset 3D		z = amplitude_x * tan(pi * (x - center_x) / width_x) + amplitude_y * tan(pi * (y - center_y) / width_y) + Offset
Tangent X Times Cosh Y [radians] With Offset 3D		z = amplitude * tan(pi * (x - center_x) / width_x) * cosh(pi * (y - center_y) / width_y) + Offset
Tangent X Times Sine Y [radians] With Offset 3D		z = amplitude * tan(pi * (x - center_x) / width_x) * sin(pi * (y - center_y) / width_y) + Offset
Tangent X Times Tangent Y [radians] With Offset 3D		z = amplitude * tan(pi * (x - center_x) / width_x) * tan(pi * (y - center_y) / width_y) + Offset
Tangent XY [radians] With Offset 3D		z = amplitude * tan(pi * (xy - center) / width) + Offset
Cosh XY [radians] Plus Plane 3D		z = amplitude * cosh(pi * (xy - center) / width) z = z + (d * x) + (f * y) + g
Sine XY [radians] Plus Plane 3D		z = amplitude * sin(pi * (xy - center) / width) z = z + (d * x) + (f * y) + g
Tangent XY [radians] Plus Plane 3D		z = amplitude * tan(pi * (xy - center) / width) z = z + (d * x) + (f * y) + g

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Curve fitting and surface fitting web application source code
Django (this site)   Django (Python 2)   Flask   CherryPy   Bottle

Curve fitting and surface fitting GUI application source code
tkinter   pyQt5   pyGtk   wxPython

Miscellaneous application source code
Animated Confidence Intervals
Initial Fitting Parameters
Multiple Statistical Distributions Fitter

Core fitting library source code
pyeq2 (Python 2)   pyeq3


Link to additional information and history

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