HOW TO USE THE DICTIONARY
To look up an entry in The American Heritage Dictionary of the English Language, use the search window above. For best results, after typing in the word, click on the “Search” button instead of using the “enter” key.
Some compound words (like bus rapid transit, dog whistle, or identity theft) don’t appear on the drop-down list when you type them in the search bar. For best results with compound words, place a quotation mark before the compound word in the search window.
THE USAGE PANEL
The Usage Panel is a group of nearly 200 prominent scholars, creative writers, journalists, diplomats, and others in occupations requiring mastery of language. Annual surveys have gauged the acceptability of particular usages and grammatical constructions.
AMERICAN HERITAGE DICTIONARY APP
The new American Heritage Dictionary app is now available for iOS and Android.
THE AMERICAN HERITAGE DICTIONARY BLOG
The articles in our blog examine new words, revised definitions, interesting images from the fifth edition, discussions of usage, and more.
INTERESTED IN DICTIONARIES?
Check out the Dictionary Society of North America at http://www.dictionarysociety.com
identity element
Share:
Tweet n. The element of a set of numbers that when combined with another number in a particular operation leaves that number unchanged. For example, 0 is the identity element under addition for the real numbers, since if a is any real number, a + 0 = 0 + a = a. Similarly, 1 is the identity element under multiplication for the real numbers, since a × 1 = 1 × a = a. Also called unity. |
The American Heritage® Dictionary of the English Language, Fifth Edition copyright ©2022 by HarperCollins Publishers. All rights reserved.
