Description
Select square or round endpoint brackets independently and flag an equal-endpoint interval empty unless both ends are closed.
An interval's endpoints and bracket style encode inclusion rules. A range label or comparison symbol can describe supplied numbers without computing its members, proving an inequality or establishing a statistical confidence interval.
Select square or round endpoint brackets independently and flag an equal-endpoint interval empty unless both ends are closed.
When to use this tool
Use Formatting: Numeric Open Closed Interval Label when you need the specified interval or relation display.
How to use the tool and how it works
- Enter lower, upper, lowerClosed, upperClosed. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read result. Expand result to inspect the returned fields.
Require lower no greater than upper. Select square or round endpoint brackets independently and flag an equal-endpoint interval empty unless both ends are closed.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| lower | Lower | Required. Finite number. |
| upper | Upper | Required. Finite number. |
| lowerClosed | Lower Closed | Required. Boolean. |
| upperClosed | Upper Closed | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| result | Object containing the calculated members; expand to inspect the fields below. | Required. Object. |
| result.label | Literal label; no independent factual or authorization verdict. | Calculated result member: string. |
| result.empty | Empty | Calculated result member: boolean. |
{
"input": {
"lower": 1,
"upper": 2,
"lowerClosed": true,
"upperClosed": false
},
"output": {
"result": {
"label": "[1, 2)",
"empty": false
}
}
}Limitations and assumptions
- This formats a real-number interval; it does not enumerate integer members or support infinity tokens. No units or statistical coverage are inferred.
- Outputs are nested inside result. 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 a set or interval calculation for membership and emptiness beyond the supported convention. Verify units, unbounded endpoints and integer-versus-real interpretation before using a label as a mathematical specification.
References
Similar or alternative tools
- Interval Unbounded End Glyph Policy
Use open parentheses and infinity glyphs for unbounded ends; use closed brackets and supplied literal endpoint text for bounded ends.
- En Dash Numeric Range Sign Guard
Join them with en dash and wrap each negative endpoint in parentheses.