Description
Calculate a mixture mass residual against supplied component masses.
Proportions depend on the order of a ratio, its denominator and whether an input is a decimal fraction or a percentage number. Inverting a zero-crossing interval is undefined, and rounding an ideal share to a quantum can exceed a total. Supplied conservation, tax or mixing assumptions need explicit units and boundaries before interpretation.
Calculate a mixture mass residual against supplied component masses.
When to use this tool
Use Proportional Mixture Conservation Residual when you already have componentMasses, suppliedTotalMass and need to calculate a mixture mass residual against supplied component masses.
How to use the tool and how it works
- Enter componentMasses, suppliedTotalMass. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read summedComponentMass, residual. Use the output convention below.
Require totalMass>=0 and each component>=0; sum components and return total-sum without clamping.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| componentMasses | Component Masses | Required. Array of finite number; maximum items 256. |
| suppliedTotalMass | Supplied Total Mass | Required. Finite number; minimum 0. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| summedComponentMass | Summed Component Mass | Required. Finite number. |
| residual | Residual | Required. Finite number. |
{
"input": {
"componentMasses": [
2,
3,
4
],
"suppliedTotalMass": 10
},
"output": {
"summedComponentMass": 9,
"residual": 1
}
}Limitations and assumptions
- An empty component list sums to zero; the tool does not verify conservation, component identity, losses or a physical mixing process.
- 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
Write the numerator, denominator and ratio direction explicitly before rebasing or inverting a quantity. Use a full allocation or mass balance for multiple components, and account for quantum remainders jointly when rounded shares must add to a fixed total.
References
Similar or alternative tools
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