Examples
Examples
Try the starting example
- Water contents (%)
- 8,12,16,20
- Dry densities (g/cm³)
- 1.6,1.8,1.85,1.7
- Fitted optimum water content (%)
- 14.8
- Fitted maximum dry density (g/cm³)
- 1.850375
- Quadratic coefficients [a,b,c] JSON
- [-0.00546875,0.161875,0.6525]
Try another scenario
- Water contents (%)
- [9, 12, 16, 20]
- Dry densities (g/cm³)
- [1.6, 1.8, 1.85, 1.7]
- Fitted optimum water content (%)
- 15.132558
- Fitted maximum dry density (g/cm³)
- 1.86078
- Quadratic coefficients [a,b,c] JSON
- [-0.00686170212766,0.207670212766,0.289489361702]
Calculation method
Calculation method
Fitted optimum water content (%)
Least-squares quadratic fit; report concave-down vertex only inside observed moisture range, not an extrapolated optimum.
Fitted maximum dry density (g/cm³)
Least-squares quadratic fit; report concave-down vertex only inside observed moisture range, not an extrapolated optimum.
Quadratic coefficients [a,b,c] JSON
Least-squares quadratic fit; report concave-down vertex only inside observed moisture range, not an extrapolated optimum.
Symbols and units
- a
- Water contents (%)
- b
- Dry densities (g/cm³)
Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.
Assumptions & limits
Assumptions & limits
- User-supplied measurements and assumptions; Least-squares quadratic fit; report concave-down vertex only inside observed moisture range, not an extrapolated optimum. Supported limits: Finite numeric values bounded to 1e9 magnitude; lists and tables contain 1–100 records unless a stricter bound is stated. Inputs use the units shown. Lists explicitly paired by a method must have matching lengths; independent polynomial coefficient vectors may differ. Respect stated physical, interpolation, policy and computational domain limits.
Are these inputs private?
These calculations run in your browser. A shared link contains the values you choose to share. Only questions submitted to the separate AI finder are sent to OpenAI.
Further reading
Background reading; this does not imply endorsement or independent review of SumFizz.