Description
Label and calculate a supplied radix-power dilution fraction.
Microbiology records distinguish experimental roles, unread plates, detected/nondetected results and reporting limits. Logarithmic and linear count-like quantities use different scales, while dilution fractions describe explicit mathematical factors. None of these labels or local conversions verifies an organism, assay, culture condition or safe laboratory procedure.
Label and calculate a supplied radix-power dilution fraction.
When to use this tool
Use Microbiology Dilution Label Token when you already have sampleId, dilutionExponent, radix and need to label and calculate a supplied radix-power dilution fraction.
How to use the tool and how it works
- Enter sampleId, dilutionExponent, radix. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read label, dilutionFraction. Use the output convention below.
Require sampleId nonempty, safe whole exponent>=0 and radix>=2; return radix^(-exponent) and a label. Reject numerical underflow to zero.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| sampleId | Sample Id | Required. Text; minimum UTF-16 length 1; maximum UTF-16 length 8192. |
| dilutionExponent | Dilution Exponent | Required. Safe integer; minimum 0. |
| radix | Radix | Required. Safe integer; minimum 2. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| label | Label | Required. Text; maximum UTF-16 length 8192. |
| dilutionFraction | radix^(-dilutionExponent); underflow to zero is rejected, not treated as a representable dilution. | Required. Finite number. |
{
"input": {
"sampleId": "S17",
"dilutionExponent": 3,
"radix": 10
},
"output": {
"label": "S17; dilution=10^(-3)",
"dilutionFraction": 0.001
}
}Limitations and assumptions
- This describes a supplied mathematical fraction, not a preparation protocol, viable count or safe laboratory procedure.
- 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
Review actual laboratory observations, control records, reporting basis and the complete analytical method for substantive interpretation. Keep unread and censored states distinct from exact results; supplied dilution or log conversions do not validate the underlying assay.
References
Similar or alternative tools
- Microbial Count Log Unit Crosswalk
Convert a supplied microbial count between linear and base-ten logarithmic values.
- Dilution Step Expected Molecule Fraction
Calculate an ideal repeated-dilution expected molecule count.