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modulus

modulus

9.3
The distance of a number with a real part and an imaginary part from zero
  • noun
  • /ˈmɒdʒʊləs/
  • Specialized
translation icon : módulo
  • In electrical engineering, the impedance modulus represents the absolute value of the complex impedance encountered in a circuit.

Examples

  • This is the argument and this is the modulus of this complex number, OK.

  • If we apply Theorem 1 to the previous result, we get another fractal-equivalent RRVGD0L system, where all the vectors have the same modulus.

    Academic text (1997)
  • And so when you take the square modulus, the energy factors cancel out.

  • And this one over here is going to be the modulus of beta squared.

  • Well it's just the square modulus of PSI I.

  • You want this the modulus of Z Therefore cancelling this.

  • The modulus of a complex number is calculated by taking the square root of the sum of the squares of its real and imaginary parts.

  • To find the distance from the origin, we need to calculate the modulus of the complex number in the Argand plane.

Synonyms

absolute value
vsmodulus
  • Specialized
2 3.9

How far a number is from zero and always zero or positive

applies to complex numbers, combining real and imaginary parts into one non-negative size

Compounds

bulk modulus
  • Specialized
8.2

A measure of how hard a material is to compress, using the pressure change divided by the change in volume

elastic modulus
  • Specialized
7.3

A number that shows how stiff a material is when you push or pull it

modulus of rigidity
  • Specialized
9.6

A measure of how well a material resists change in shape when layers slide past each other

modulus of elasticity
  • Specialized
7.5

A number that shows how stiff a material is when force makes it stretch

Young's modulus
  • Specialized
7.7

A number that shows how stiff a material is when you stretch it

Surface Forms

modulus singular
moduli plural

Etymology

Modulus comes from the Latin root modus meaning 'measure' and the ending -ulus meaning 'small', so it originally meant a 'small measure'. That's why the modulus of a complex number tells you its 'size' or absolute value.