# homogeneous

[ hoh-muh-jee-nee-uhs, -jeen-yuhs, hom-uh- ]

/ ˌhoʊ məˈdʒi ni əs, -ˈdʒin yəs, ˌhɒm ə- /

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adjective

composed of parts or elements that are all of the same kind; not heterogeneous: a homogeneous population.

of the same kind or nature; essentially alike.

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.

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## Origin of homogeneous

## OTHER WORDS FROM homogeneous

## WORDS THAT MAY BE CONFUSED WITH homogeneous

1. heterogeneous, heterogenous, homogeneous , homogenous2. homogeneous , homogenousDictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2022

## How to use homogeneous in a sentence

These SEIR models generally assume that populations are fairly homogeneous, that people mix relatively evenly, and that everyone is equally susceptible to the virus.

The Hard Lessons of Modeling the Coronavirus Pandemic|Jordana Cepelewicz|January 28, 2021|Quanta MagazineCityscapes became increasingly homogeneous in their sensory appeal.

## British Dictionary definitions for homogeneous

homogeneous

/ (ˌhəʊməˈdʒiːnɪəs, ˌhɒm-) /

adjective

composed of similar or identical parts or elements

of uniform nature

similar in kind or nature

having a constant property, such as density, throughout

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

Also (for senses 1–4): homogenous

## Derived forms of homogeneous

homogeneity (ˌhəʊməʊdʒɪˈniːɪtɪ, ˌhɒm-), nounhomogeneously, adverbhomogeneousness, nounCollins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Medical definitions for homogeneous

homogeneous

[ hō′mə-jē′nē-əs, -jēn′yəs ]

adj.

Of the same or similar nature or kind.

Uniform in structure or composition throughout, as of a chemical mixture.

The American Heritage® Stedman's Medical Dictionary
Copyright © 2002, 2001, 1995 by Houghton Mifflin Company. Published by Houghton Mifflin Company.