ZunZunNG - Online Curve Fitting and Surface Fitting

3D BioScience

Chen-Clayton 3D: r.h.(T_k,M) = exp(-(C1/T^C2) * exp(-C3*T^C4*M))^{[web citation]}
Chen-Clayton Scaled 3D: z = Scale * exp(-(C1/T^C2) * exp(-C3*T^C4*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) * M^C3)^{[web citation]}
Strohman-Yoerger 3D: r.h.(P_s,M) = exp(C1*exp(-C2*M)*ln(P_s) - C3*exp(-C4*M))^{[web citation]}

Chen-Clayton Scaled With Offset 3D: z = Scale * exp(-(C1/T^C2) * exp(-C3*T^C4*M)) + Offset^{[web citation]}
Chen-Clayton With Offset 3D: r.h.(T_k,M) = exp(-(C1/T^C2) * exp(-C3*T^C4*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) * M^C3) + Offset^{[web citation]}
Strohman-Yoerger With Offset 3D: r.h.(P_s,M) = exp(C1*exp(-C2*M)*ln(P_s) - 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) * M^C3)
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 + cx^1.5y^1.5
Mean Curvature Of Paraboloid 3D: z = 2 * (a + 2a³ * (x² + y²)) / (1 + 4a² * (x² + y²))^1.5
Mean Curvature Of 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 + cx^1.5y^1.5 + 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 + cx^1.5y^1.5
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 * (x^b + y^c)
Power B 3D: z = a + x^b + y^c
Power C 3D: z = a + x^b * y^c
Power D 3D: z = ax^b + cy^d
Power E 3D: z = a * x^b * y^c
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 * (x^b + y^c) + Offset
Power D With Offset 3D: z = ax^b + cy^d + Offset
Power E With Offset 3D: z = a * x^b * y^c + 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 * (x^b + y^c)
z = z + (d * x) + (f * y) + g
Power E Plus Plane 3D: z = a * x^b * y^c
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