Examples
Examples
Try the starting example
- Numerator coefficients descending powers
- 1
- Denominator coefficients descending powers
- 1,1
- Angular frequencies (rad/s)
- 0.1,1,10
- Nyquist [frequency,real,imaginary] coordinates (JSON)
- [[0.1,0.990099009901,-0.0990099009901],[1,0.5,-0.5],[10,0.00990099009901,-0.0990099009901]]
Try another scenario
- Numerator coefficients descending powers
- [2]
- Denominator coefficients descending powers
- [1, 1]
- Angular frequencies (rad/s)
- [0.1, 1, 10]
- Nyquist [frequency,real,imaginary] coordinates (JSON)
- [[0.1,1.9801980198,-0.19801980198],[1,1,-1],[10,0.019801980198,-0.19801980198]]
Calculation method
Calculation method
Nyquist [frequency,real,imaginary] coordinates (JSON)
Evaluate transfer function on positive imaginary axis; no Nyquist encirclement or stability conclusion from finite samples.
Symbols and units
- a
- Numerator coefficients descending powers
- b
- Denominator coefficients descending powers
- c
- Angular frequencies (rad/s)
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; Evaluate transfer function on positive imaginary axis; no Nyquist encirclement or stability conclusion from finite samples. 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.