\(f(a,b)\over\) \(Commutative\over\) \(b? \to f(a,b) = a\over\)  
◑ Average \(a\)
◑ Interpolation (Pegtop)  
○ Multiply \(1\)
● Screen \(0\)
○ Geometric Mean \(a\)
● Geometric-1 \(a\)
○ Heronian \(a\)
● Heronian-1 \(a\)
○ Pythagorean-1 \(a\)
● Pythagorean \(a\)
○ Haze (Glare-1)  
● Glare  
○ Absorb \(a\)
● Emit \(a\)
○ Darken \(a\)
● Lighten \(a\)
○ Root-1  
● Root  
○ Linear Burn \(1\)
● Linear Dodge (Add) \(0\)
○ Color Burn   \(1\)
● Color Dodge   \(0\)
○ Soft Burn   \(a\)
● Soft Dodge   \(a\)
○ Gamma Dark   \(1\)
● Gamma Light   \(0\)
○ Freeze    
● Reflect    
○ Heat    
● Glow    
◑ Overlay   \(0.5\)
◑ Hard Light   \(0.5\)
◑ Soft Light (Photoshop)   \(0.5\)
◑ Soft Light   \(0.5\)
◑ Pin Light   \(a\)
◑ Extrapolate (Kai’s Power Tools)   \(a\)
◑ Vivid Light   \(0.5\)
◑ Linear Light   \(0.5\)
◑ Quadratic Light    
◑ Modulated Light    
◑ Hard Mix  
◐ Difference \(0\)
◐ Exclusion \(0\)
◐ Erosion  
◐ Solarization  
◐ Phoenix \(1\)
◐ Negation \(0\)
○ Subtract   \(0\)
● Divide   \(1\)