Description
Return constant coefficient of an affine inverse.
Polynomial transformations change coefficient scales or root coordinates under an explicit substitution. Translation, reflection and dilation use different signs, while a single complex phase does not apply a complete root-of-unity filter. The original function’s domain still matters after rational cancellation.
Return constant coefficient of an affine inverse.
When to use this tool
Use Affine Inverse Constant Coefficient when checking the stated polynomial transformation or complex-coordinate term.
How to use the tool and how it works
- Enter slope, intercept. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read constant. Use the output convention below.
Return constant coefficient of an affine inverse. Require slope != 0; constant = -intercept/slope.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| slope | Slope | Required. Finite number. |
| intercept | Intercept | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| constant | Constant | Required. Finite number. |
{
"input": {
"slope": 2,
"intercept": 6
},
"output": {
"constant": -3
}
}Limitations and assumptions
- This is the inverse's constant term, not its full slope or a general function inverse.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use the full transformed expression and explicit variable substitution for complete symbolic equivalence, filtering or root analysis.
References
Similar or alternative tools
- Polynomial Affine Substitution Leading Coefficient
Return leading coefficient under affine input substitution.
- Affine Fixed Point Denominator
Return one affine fixed-point denominator and degeneracy flag.