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Modulus (Noun)

The absolute value of a complex number.

Nouns denoting quantities and units of measure.

The modulus of the complex number 3 + 4i is calculated as the square root of 3^2 + 4^2.
The absolute value or modulus of a complex number z is denoted by |z|.
The modulus of the complex number z = a + bi is equal to sqrt(a^2 + b^2).
The concept of modulus in complex numbers allows us to find the distance of the complex number from the origin.
To calculate the modulus of a complex number, you square the real part, square the imaginary part, add the two values together, and take the square root of the sum.

(physics) a coefficient that expresses how much of a specified property is possessed by a specified substance.

Nouns denoting quantities and units of measure.

The Young's modulus of a material is a measure of its stiffness, which can be calculated from the stress and strain on a test sample.
In determining the tensile strength of a steel rod, the modulus of elasticity must be considered.
To compare the shear strengths of two types of polymers, researchers used their moduli to analyze their response to external forces.
Glass fibers are highly prized for their exceptionally high tensile modulus, making them strong candidates for reinforced composite materials.
Carbon fiber is favored for aircraft and vehicle parts because its high elastic modulus helps absorb stresses from repeated vibrations and turbulence.

An integer that can be divided without remainder into the difference between two other integers; "2 is a modulus of 5 and 9".

Nouns denoting quantities and units of measure.

The modulus of 15 and 25 is 10, since 10 can be divided into 25 - 15 without remainder.
In modular arithmetic, the modulus is the number that divides the difference between two numbers.
The modulus of 7 and 21 is 7, since 7 can be divided into 21 - 7 without remainder.
A modulus of 12 can be used to divide the difference between 36 and 60.
The modulus of 9 and 18 is 9, since 9 can be divided into 18 - 9 without remainder.