Description
Return a Laurent order under variable inversion.
A monomial combines a coefficient with variable exponents. Ordinary nonnegative exponents and signed Laurent exponents have different domains; exponent-vector divisibility and greatest-common-factor rules describe the variable part unless coefficients are explicitly included. Zero coefficients and absent variables need separate flags.
Return a Laurent order under variable inversion.
When to use this tool
Use Laurent Monomial Inversion Order when checking the stated exponent-vector, support, coefficient or Laurent convention.
How to use the tool and how it works
- Enter order. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read invertedOrder. Use the output convention below.
Return a Laurent order under variable inversion. Require whole order; invertedOrder = -order.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| order | Order | Required. Safe integer. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| invertedOrder | Inverted Order | Required. Safe integer. |
{
"input": {
"order": -3
},
"output": {
"invertedOrder": 3
}
}Limitations and assumptions
- This maps a supplied local order under reciprocal coordinate, not an actual function, leading coefficient or domain.
- 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 complete coefficient domain and variable assumptions for symbolic simplification, full monomial divisibility or algebraic-domain conclusions.
References
Similar or alternative tools
- Monomial Log Magnitude At Point
Return a Laurent monomial's sign and natural-log magnitude.
- Monomial Negative Exponent Denominator Label
Format a Laurent variable part as numerator/denominator labels.