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- DictionaryField/fēld/
noun
- 1. an area of open land, especially one planted with crops or pasture, typically bounded by hedges or fences: "a wheat field"
- 2. a particular branch of study or sphere of activity or interest: "we talked to professionals in various fields"
verb
- 1. play as a fielder.
- 2. send out (a team or individual) to play in a game: "a high school that traditionally fielded mediocre teams"
adjective
- 1. carried out or working in the natural environment, rather than in a laboratory or office: "field observations"
an area of study or activity: He's an expert in the field of biochemistry. field noun (IN RACE/BUSINESS) the people who are competing in a race, activity, or business: We lead the field in genetic research. a gas/oil field. an area of land containing gas or oil. a gravitational/magnetic field. an area affected by a particular physical force.
To be precise, a field is an ordered triple $(F,+,\times)$, where $+$ and $\times$ are binary operations on $F$ satisfying the following "field axioms": The ordered pair $(F,+)$ is an abelian group. This group is written additively; the element $0$ is called the additive identity of the field.
6 days ago · Definition of 'field' Word Frequency. field. (fild ) Word forms: fields plural3rd person singular present tense, fielding present participle, fielded past tense past participle. 1. countable noun. A field is an area of grass, for example, in a park or on a farm. A field is also an area of land on which a crop is grown. ...a field of wheat.
verb. /fild/ Verb Forms. candidate/team. [transitive] field somebody/something to provide a candidate, speaker, team, etc. to represent you in an election, a competition, etc. Each of the main parties fielded more than 300 candidates. This year the United States is fielding a very strong group of swimmers. Want to learn more?
Define field: an open area of land without trees or buildings—usage, synonyms, more.
Nov 21, 2023 · Define fields axiomatically and see examples. Understand applications of fields outside of mathematics. Updated: 11/21/2023. Table of Contents. What is a Field in Algebra? Field Axioms....
Sep 14, 2021 · What is a field? What sorts of things can one do in a field? What are examples of fields? We now begin the process of abstraction. We will do this in stages, beginning with the concept of a field. First, we need to formally define some familiar sets of numbers. Definition: Rational Numbers.
