modulus
Meaning
(mathematics) the absolute value of a complex number.
(mathematics) a constant factor or ratio relating one quantity to another, especially in physics or engineering.
(computing) an operation that finds the remainder after division of one number by another.
Structure
Usage
the modulus of the complex number 3 + 4i is 5.
young's modulus is a measure of the stiffness of an elastic material.
in programming, the modulus operator (%) is commonly used to check if a number is even or odd.
Etymology
the word 'modulus' entered english directly from latin, where it meant a small measure, standard, or unit. the latin modulus is itself a diminutive form of modus, meaning 'measure, manner, or limit', which traces back to the proto-indo-european root med-, meaning 'to take appropriate measures'. this foundational concept of a measured unit evolved in scientific and mathematical contexts. in modern usage, 'modulus' retains this core idea of a standard unit of measurement, applying it abstractly to mathematics for absolute values, constants, and the remainder operation, all representing a fundamental measured quantity or relationship.
Analysis
- modul: from latin modulus, a diminutive of modus (measure, manner). functions as the core root conveying the sense of a measured unit or standard. - us: a latin noun suffix used to form masculine nouns, indicating the word's status as a thing or concept.