Homogeneous (noun) Definition, Meaning & Examples

adjective
  1. composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.
  2. of the same kind or nature; essentially alike.
  3. Mathematics.
    • having a common property throughout: a homogeneous solid figure.
    • having all terms of the same degree: a homogeneous equation.
    • relating to a function of several variables that becomes multiplied by some power of a constant when each variable is multiplied by that constant: x2y3is a homogeneous expression of degree 5.
    • relating to a differential equation in which a linear combination of derivatives is set equal to zero.
adjective
  1. composed of similar or identical parts or elements
  2. of uniform nature
  3. similar in kind or nature
  4. having a constant property, such as density, throughout
  5. maths
    • (of a polynomial) containing terms of the same degree with respect to all the variables, as in x ² + 2 xy + y ²
    • (of a function) containing a set of variables such that when each is multiplied by a constant, this constant can be eliminated without altering the value of the function, as in cos x / y + x / y
    • (of an equation) containing a homogeneous function made equal to 0
  6. of, composed of, or concerned with a single phase
Homogeneous (noun) Definition, Meaning & Examples

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