Description
Require aligned nonnegative logDilutions and repetitions and return their dot product as formalLogDilution.
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.
Require aligned nonnegative logDilutions and repetitions and return their dot product as formalLogDilution.
When to use this tool
Use Formal Dilution Step Logsum 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 logDilutions, repetitions. Keep parallel arrays aligned. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read formalLogDilution. Use the output convention below.
Require aligned nonnegative logDilutions and repetitions and return their dot product as formalLogDilution.1
Homeopathic notation does not establish treatment efficacy.2
| Input field | Meaning and units | Accepted input |
|---|---|---|
| logDilutions | Log Dilutions | Required. Array of finite number; minimum 0; maximum items 256. |
| repetitions | Repetitions | Required. Array of safe integer; minimum 0; maximum items 256. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| formalLogDilution | Formal Log Dilution | Required. Finite number. |
{
"input": {
"logDilutions": [
2,
3
],
"repetitions": [
4,
2
]
},
"output": {
"formalLogDilution": 14
}
}Limitations and assumptions
- Inputs are logarithmic dilution contributions on one common base with nonnegative repetition weights; repeated stages, physical contents, and treatment effects are not verified.
- 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/formal-dilution-step-logsum — tool.io
-
Homeopathy: What You Need To Know — National Center for Complementary and Integrative Health
Similar or alternative tools
- Formal Notation Basis Gap
Multiply each step by log10 of its base and return secondLogDilution-firstLogDilution.
- Homeopathy Label Dilution Log Factor
Return -stages × log10(base) for log10Fraction and the opposite sign for log10Dilution.