Alligation Medical Arithmetic Tool

Actual alligation medial same-basis mass weighted strength fraction ΣmC/Σm, not determinephysicochemical compatibility, productpotency or preparation instructions. All patient/product/route/units and applicable inputs independently clinically established; no dose, route, frequency, eligibility, titration, diagnosis or permission to administer is supplied.

Description

Alligation medial expresses the mass-weighted average of component strengths on a shared mass basis.

Alligation medial expresses the mass-weighted average of component strengths on a shared mass basis.^[1]

This tool calculates that fraction from recorded masses and verified strength fractions without evaluating product compatibility.

When to use Alligation Medical Arithmetic Tool

This tool calculates that fraction from recorded masses and verified strength fractions without evaluating product compatibility.

How to use Alligation Medical Arithmetic Tool and how it works

Prepare ingredient masses grams, verified ingredient strength fractions, using the input definitions and matching units below.
Enter the required fields and run Alligation Medical Arithmetic Tool.
Read result.value using the units, signs and ordering explained below.
Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.

Input field	Meaning	Value type	Requirement
actualIngredientMassesGrams	Actual Ingredient Masses Grams. Use the units and matching context stated in the calculation below.	array of number	Required; other constraints below
callerVerifiedIngredientStrengthFractions	Caller Verified Ingredient Strength Fractions. Use the units and matching context stated in the calculation below.	array of number	Required; other constraints below

Require aligned nonempty ingredient mass and strength arrays. Masses must be nonnegative and sum to a positive value; each strength is a fraction from 0 to 1. Sum mass times strength and divide by total mass for a dimensionless mass-basis fraction. No compatibility, potency, sterility or preparation instructions are inferred.

strengthFraction=sum(mass_i*strength_i)/sum(mass_i)

Apply the input ordering, units and branch conditions stated above.

Output field	Meaning	Value type
result	Object containing the calculated or selected fields below.	object
result.value	Numeric model result on the ratio, score, constant or density basis explained above.	number

json

{
  "input": {
    "actualIngredientMassesGrams": [
      1,
      1
    ],
    "callerVerifiedIngredientStrengthFractions": [
      0.2,
      0.8
    ]
  },
  "output": {
    "result": {
      "value": 0.5
    }
  }
}

Limitations and assumptions

Patient context, drug formulation, route, sampling time, assay units and applicable clinician-verified protocol must be independently established. The output supplies no dosing, titration, switching or administration instruction.

The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.

All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.

Alternative or Complementary methods

Use Percent Strength w/v From Grams Calculator for a complementary operation: Percent weight per volume expresses grams of solute per 100 mL of final solution.

Use Percent Strength Ratio-Proportion Converter for a complementary operation: A weight-per-volume ratio strength of 1:N means one gram per N milliliters of final solution.

References

Alligation Medical Arithmetic Tool — tool.io

Similar or alternative tools

Percent Strength w/v From Grams Calculator
Percent weight per volume expresses grams of solute per 100 mL of final solution.
Percent Strength Ratio-Proportion Converter
A weight-per-volume ratio strength of 1:N means one gram per N milliliters of final solution.