Description
Format a Laurent variable part as numerator/denominator labels.
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.
Format a Laurent variable part as numerator/denominator labels.
When to use this tool
Use Monomial Negative Exponent Denominator Label when checking the stated exponent-vector, support, coefficient or Laurent convention.
How to use the tool and how it works
- Enter exponents, names. Follow any array-alignment requirements below. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read numerator, denominator. Use the output convention below.
Format a Laurent variable part as numerator/denominator labels. Require aligned signed whole exponents, unique ASCII identifiers; positive exponents go to numerator, negative magnitudes to denominator, empty products become one.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| exponents | Signed whole Laurent exponents; negative entries are formatted in denominator labels. | Required. Array of safe integer; maximum items 256. |
| names | Names | Required. Array of text; maximum UTF-16 length 8192; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| numerator | Numerator | Required. Text; maximum UTF-16 length 8192. |
| denominator | Denominator | Required. Text; maximum UTF-16 length 8192. |
{
"input": {
"exponents": [
2,
-3
],
"names": [
"x",
"y"
]
},
"output": {
"numerator": "x^2",
"denominator": "y^3"
}
}Limitations and assumptions
- Zero exponents are omitted; no evaluation, coefficient or nonzero-variable domain condition is independently verified.
- 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.
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.
- Laurent Monomial Inversion Order
Return a Laurent order under variable inversion.