Description
Treat each centesimal stage as two decimal stages when centesimal, returning decimalStages, centesimalEquivalent, and the negative base-ten dilution exponent.
Serial dilution multiplies retained fractions, so logarithms turn repeated dilution factors into sums. Comparing formal factors does not demonstrate actual chemical composition, manufacturing quality, or a treatment effect.
Treat each centesimal stage as two decimal stages when centesimal, returning decimalStages, centesimalEquivalent, and the negative base-ten dilution exponent.
When to use this tool
Use Homeopathy Centesimal Decimal Stage Crosswalk when you need one explicit formal dilution calculation with a stated base and stage convention.
How to use the tool and how it works
- Enter stages, centesimal. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read decimalStages, centesimalEquivalent, log10Fraction. Use the output convention below.
Require nonnegative integer stages. Treat each centesimal stage as two decimal stages when centesimal, returning decimalStages, centesimalEquivalent, and the negative base-ten dilution exponent.1
Homeopathic notation does not establish treatment efficacy.2
| Input field | Meaning and units | Accepted input |
|---|---|---|
| stages | Stages | Required. Safe integer; minimum 0. |
| centesimal | Centesimal | Required. Boolean. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| decimalStages | Decimal Stages | Required. Safe integer. |
| centesimalEquivalent | Centesimal Equivalent | Required. Finite number. |
| log10Fraction | Log10 Fraction | Required. Finite number. |
{
"input": {
"stages": 6,
"centesimal": true
},
"output": {
"decimalStages": 12,
"centesimalEquivalent": 6,
"log10Fraction": -12
}
}Limitations and assumptions
- This compares ideal factors of 100 and 10 only; a fractional centesimalEquivalent is formal, without equivalence of preparations or therapeutic effects.
- 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
Keep formal expectations separate from measured contents and evaluate treatment claims through appropriate clinical evidence.
References
-
Calculation and input contract: homeopathy/homeopathy-centesimal-decimal-stage-crosswalk — tool.io
-
Homeopathy: What You Need To Know — National Center for Complementary and Integrative Health
Similar or alternative tools
- Homeopathy Label Dilution Log Factor
Return -stages × log10(base) for log10Fraction and the opposite sign for log10Dilution.
- Formal Notation Basis Gap
Multiply each step by log10 of its base and return secondLogDilution-firstLogDilution.