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Singleton Empty Set Brace Formatter Tool

Format either the empty set or a singleton string set using a quoted JSON string to avoid delimiter ambiguity.

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Description

Return braces around JSON.stringify(element) when singleton is true, otherwise empty braces.

A set contains distinct values, so duplicate input items do not contribute additional members. Ordered output is a serialization convention; membership, equality, and the chosen universe determine the underlying set result.

Return braces around JSON.stringify(element) when singleton is true, otherwise empty braces.

When to use this tool

Use Singleton Empty Set Brace Formatter when you need a deterministic operation on explicitly supplied sets or a finite membership representation.

How to use the tool and how it works

  1. Enter singleton, element. Use the units and conventions below.
  2. Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
  3. Read notation. Use the output convention below.

Return braces around JSON.stringify(element) when singleton is true, otherwise empty braces.1

Input fieldMeaning and unitsAccepted input
singletonSingletonRequired. Boolean.
elementElementRequired. Text; maximum UTF-16 length 8192.
Output fieldInterpretationReturned shape
notationNotationRequired. Text; maximum UTF-16 length 8192.
json
{
  "input": {
    "singleton": true,
    "element": "alpha"
  },
  "output": {
    "notation": "{\"alpha\"}"
  }
}

Limitations and assumptions

  • The result is mathematical-style notation, not a JSON object or a parsed set; the element is ignored for an empty set.
  • 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

Specify the universe and equality convention before combining this result with other set operations.

References

  1. Calculation and input contract: set/singleton-empty-set-brace-formatter — tool.io

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