# 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.

QUIZ

THINGAMABOB OR THINGUMMY: CAN YOU DISTINGUISH BETWEEN THE US AND UK TERMS IN THIS QUIZ?

Do you know the difference between everyday US and UK terminology? Test yourself with this quiz on words that differ across the Atlantic.

Question 1 of 7

In the UK, COTTON CANDY is more commonly known as…

## 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. 2023

## 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
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