Description
Replace the selected nonnegative weight, sum the resulting weights, require a positive total, and divide every weight by that total.
Replacing one nonnegative weight changes the total used to normalize every weight. A zero total cannot define a normalized distribution.
Replace the selected nonnegative weight, sum the resulting weights, require a positive total, and divide every weight by that total.
When to use this tool
Use List Single Weight Renormalization when you need to renormalize a weight vector after one explicit replacement.
How to use the tool and how it works
- Enter weights, index, replacement. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read normalized. Use the output convention below.
Replace the selected nonnegative weight, sum the resulting weights, require a positive total, and divide every weight by that total.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| weights | Weights | Required. Array of finite number; maximum items 256. |
| index | Index | Required. Safe integer; minimum 0. |
| replacement | Replacement | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| normalized | Normalized | Required. Array of finite number; maximum items 256. |
{
"input": {
"weights": [
1,
1
],
"index": 0,
"replacement": 3
},
"output": {
"normalized": [
0.75,
0.25
]
}
}Limitations and assumptions
- This normalizes all entries after one replacement; a zero total is rejected and no probabilistic interpretation or rounding rule is imposed.
- 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
Check the interpretation of weights and use a documented rounding policy if exact displayed totals matter.
References
Similar or alternative tools
- Resource Allocation Weight Share
Return weight / totalWeight and available times that share.
- Milestone Weight Reassignment Residual
Sum each list and return newTotal - oldTotal as residual.