Description
Validate probability in [0, 1] and return support one for strictly positive probability, otherwise zero.
Entropy summarizes uncertainty under a specified probability model and logarithm convention. Support indicators, one-symbol terms, and exponentiated entropies are components with different meanings.
Validate probability in [0, 1] and return support one for strictly positive probability, otherwise zero.
When to use this tool
Use Rényi Order Zero Support Indicator when you need one explicitly scoped entropy or support calculation.
How to use the tool and how it works
- Enter probability. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read support. Use the output convention below.
Validate probability in [0, 1] and return support one for strictly positive probability, otherwise zero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| probability | Probability in the stated interval; zero handling follows the calculation above. | Required. Finite number; minimum 0; maximum 1. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| support | Support | Required. Safe integer. |
{
"input": {
"probability": 0.2
},
"output": {
"support": 1
}
}Limitations and assumptions
- This is an exact support indicator without numerical tolerance or estimation of unobserved symbols.
- 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
Validate and align complete probability distributions before aggregating terms or interpreting an uncertainty estimate.
References
Similar or alternative tools
- Information: Discrete Support Determinism Flag
Count strictly positive entries and mark deterministic only when entries are exactly zeros or one with at least one one.
- Collision Entropy Uniform Support Gap
Return -log2(collisionProbability), log2(support), and their difference.