- 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: x2y3 is a homogeneous expression of degree 5.
- relating to a differential equation in which a linear combination of derivatives is set equal to zero.
Origin of homogeneous
Examples from the Web for homogeneous
I have said that this law of Homogeneous Counter-relativity has not been recognised by logicians.Logic, Inductive and Deductive|William Minto
Homogeneous culture, however, is of course not the same thing as native culture.Friedrich Nietzsche|Georg Brandes
Homogeneous: Structure uniform throughout all parts of the colony.The Elements of Bacteriological Technique|John William Henry Eyre
And next, that the parts of such a body must be Homogeneous, or of the same kind.Micrographia|Robert Hooke
Homogeneous: of the same kind or nature: similar in texture or parts.Explanation of Terms Used in Entomology|John. B. Smith
British Dictionary definitions for homogeneous
- (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
Word Origin and History for homogeneous
1640s, from Medieval Latin homogeneus, from Greek homogenes "of the same kind," from homos "same" (see homo- (1)) + genos "kind, gender, race, stock" (see genus). Earlier in this sense was homogeneal (c.1600).