\(f(a,b)\over\) \(Commutative\over\) \(b? \to f(a,b) = a\over\)  
◑ 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   \(1\)