different between group vs field
group
English
Alternative forms
- groop (non-standard)
- groupe (obsolete)
Etymology
From French groupe (“cluster, group”), from Italian gruppo, groppo (“a knot, heap, group, bag (of money)”), from Vulgar Latin *cruppo, Renaissance Latin grupus, from Proto-Germanic *kruppaz (“lump, round mass, body, crop”), from Proto-Indo-European *grewb- (“to crumple, bend, crawl”). Cognate with German Kropf (“crop, craw, bunch”), Old English cropp, croppa (“cluster, bunch, sprout, flower, berry, ear of corn, crop”), Dutch krop (“craw”), Icelandic kroppr (“hump, bunch”). Doublet of crop and croup.
Pronunciation
- enPR: gro?op, IPA(key): /??u?p/
- Rhymes: -u?p
Noun
group (plural groups)
- A number of things or persons being in some relation to one another.
- (group theory) A set with an associative binary operation, under which there exists an identity element, and such that each element has an inverse.
- 1977, Roger C. Lyndon, Paul E. Schupp, Combinatorial Group Theory, Springer, page 192,
- Throughout this section, we shall assume the existence of finitely presented groups with unsolvable word problem.
- 1992, Svetlana Katok, Fuchsian Groups, University of Chicago Press, page 112,
- In this chapter we give some examples of Fuchsian groups. The most interesting and important ones are the so-called "arithmetic" Fuchsian groups, i.e., discrete subgroups of PSL(2,R) obtained by some "arithmetic" operations. One such construction we have already seen: if we choose all matrices of SL(2,R) with integer coefficients, then the corresponding elements of PSL(2,R) form the modular group PSL(2,Z).
- 2007, Zhong-Qi Ma, Group Theory for Physicists, World Scientific, page 277,
- In Chap. 4 the fundamental concepts on Lie groups have been introduced through the SO(3) group and its covering group SU(2).
- 1977, Roger C. Lyndon, Paul E. Schupp, Combinatorial Group Theory, Springer, page 192,
- (geometry, archaic) An effective divisor on a curve.
- A (usually small) group of people who perform music together.
- (astronomy) A small number (up to about fifty) of galaxies that are near each other.
- (chemistry) A column in the periodic table of chemical elements.
- (chemistry) A functional group.
- (sociology) A subset of a culture or of a society.
- (military) An air force formation.
- (geology) A collection of formations or rock strata.
- (computing) A number of users with same rights with respect to accession, modification, and execution of files, computers and peripherals.
- An element of an espresso machine from which hot water pours into the portafilter.
- (music) A number of eighth, sixteenth, etc., notes joined at the stems; sometimes rather indefinitely applied to any ornament made up of a few short notes.
- (sports) A set of teams playing each other in the same division, while not during the same period playing any teams that belong to other sets in the division.
- (business) A commercial organization.
Synonyms
- (number of things or persons being in some relation to each other): collection, set
- (people who perform music together): band, ensemble
- See also Thesaurus:group
Hypernyms
- (in group theory): monoid
Hyponyms
Derived terms
- subgroup
Related terms
Descendants
- ? Gulf Arabic: ?????
- ? Japanese: ???? (gur?pu)
- ? Korean: ?? (geurup)
- ? Tongan: kulupu
Translations
References
- group on Wikipedia.Wikipedia
Verb
group (third-person singular simple present groups, present participle grouping, simple past and past participle grouped)
- (transitive) To put together to form a group.
- group the dogs by hair colour
- (intransitive) To come together to form a group.
Synonyms
- (put together to form a group): amass, categorise/categorize, classify, collect, collect up, gather, gather together, gather up; see also Thesaurus:round up
- (come together to form a group): assemble, begather, foregather, throng; see also Thesaurus:assemble
Translations
Further reading
- group in Webster’s Revised Unabridged Dictionary, G. & C. Merriam, 1913.
- group in The Century Dictionary, New York, N.Y.: The Century Co., 1911.
group From the web:
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field
English
Etymology
From Middle English field, feeld, feld, from Old English feld (“field; open or cultivated land, plain; battlefield”), from Proto-West Germanic *felþu, from Proto-Germanic *felþuz, *felþaz, *felþ? (“field”), ultimately from Proto-Indo-European *pleh?- (“field, plain”) or *pleth?- (“flat”) (with schwebeablaut).
Cognate with Scots feld, feild (“field”), North Frisian fjild (“field”), West Frisian fjild (“field”), Dutch veld (“field”), German Feld (“field”), Swedish fält (“field”). Related also to Old English folde (“earth, land, territory”), Old English folm (“palm of the hand”). More at fold.
Pronunciation
- (Received Pronunciation) IPA(key): /fi?ld/
- (General American) IPA(key): /fild/
- Rhymes: -i?ld
Noun
field (plural fields)
- A land area free of woodland, cities, and towns; open country.
- (usually in the plural) The open country near or belonging to a town or city.
- An airfield, airport or air base; especially, one with unpaved runways.
- (usually in the plural) The open country near or belonging to a town or city.
- A wide, open space that is usually used to grow crops or to hold farm animals.
- (geology) A region containing a particular mineral.
- (geology) A region containing a particular mineral.
- A place where competitive matches are carried out.
- A place where a battle is fought; a battlefield.
- An area reserved for playing a game or race with one’s physical force.
- (baseball, obsolete) The team in a match that throws the ball and tries to catch it when it is hit by the other team (the bat).
- (baseball) The outfield.
- A place where competitive matches are carried out with figures, playing field, in a board game or in a computer game.
- A competitive situation, circumstances in which one faces conflicting moves of rivals.
- (metonymically) All of the competitors in any outdoor contest or trial, or all except the favourites in the betting.
- A place where a battle is fought; a battlefield.
- Any of various figurative meanings, often dead metaphors.
- (physics) A physical phenomenon (such as force, potential or fluid velocity) that pervades a region; a mathematical model of such a phenomenon that associates each point and time with a scalar, vector or tensor quantity.
- Any of certain structures serving cognition.
- The extent of a given perception.
- A realm of practical, direct or natural operation, contrasted with an office, classroom, or laboratory.
- A domain of study, knowledge or practice.
- An unrestricted or favourable opportunity for action, operation, or achievement.
- (algebra) A commutative ring satisfying the field axioms.
- The extent of a given perception.
- A physical or virtual location for the input of information in the form of symbols.
- (heraldry) The background of the shield.
- (vexillology) The background of the flag.
- The part of a coin left unoccupied by the main device.
- A concrete section in a form which is supposed to be filled with data.
- PHP 5 Forms Required Fields at W3Schools
- From the validation rules table on the previous page, we see that the "Name", "E-mail", and "Gender" fields are required. These fields cannot be empty and must be filled out in the HTML form.
- PHP 5 Forms Required Fields at W3Schools
- A component of a database in which a single unit of information is stored.
- (computing, object-oriented programming) An area of memory or storage reserved for a particular value, subject to virtual access controls.
- (electronics, film, animation) Part (usually one half) of a frame in an interlaced signal
- (physics) A physical phenomenon (such as force, potential or fluid velocity) that pervades a region; a mathematical model of such a phenomenon that associates each point and time with a scalar, vector or tensor quantity.
Synonyms
- (course of study or domain of knowledge): area, domain, sphere, realm
- (area reserved for playing a game): course (for golf), court (for racquet sports), ground, pitch (for soccer, rugby, cricket)
- (location for the input of information): input field, box
Hypernyms
- (algebra): Euclidean domain ? principal ideal domain ? unique factorization domain, Noetherian domain ? integral domain ? commutative ring; simple ring
Hyponyms
- (algebra): ordered field, Pythagorean field, residue field, extension field
Derived terms
Descendants
- ? Japanese: ????? (f?rudo)
Translations
Usage notes
In the mathematical sense, some languages, such as French, use a term that literally means "body". This denotes a division ring or skew field, not necessarily commutative. If it is clear from context that the quaternions and similar division rings are irrelevant, or that all division rings being considered are finite and therefore fields, this difference is ignored.
Verb
field (third-person singular simple present fields, present participle fielding, simple past and past participle fielded)
- (transitive, sports) To intercept or catch (a ball) and play it.
- (intransitive, baseball, softball, cricket, and other batting sports) To be the team catching and throwing the ball, as opposed to hitting it.
- The blue team are fielding first, while the reds are batting.
- (transitive, sports) To place (a team, its players, etc.) in a game.
- The away team fielded two new players and the second-choice goalkeeper.
- (transitive) To answer; to address.
- She will field questions immediately after her presentation.
- (transitive) To defeat.
- (transitive) To execute research (in the field).
- (transitive, military) To deploy in the field.
- to field a new land-mine detector
Synonyms
- (intercept or catch (a ball) and play it):
- (place a team in (a game)):
- (answer, address): address, answer, deal with, respond to
Antonyms
- (be the team throwing and catching the ball): bat
Translations
See also
- Field in the Encyclopædia Britannica (11th edition, 1911)
Further reading
- Douglas Harper (2001–2021) , “field”, in Online Etymology Dictionary
Anagrams
- Fidel, felid, filed, flied
Middle English
Noun
field
- Alternative form of feeld
field From the web:
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- what field of study is psychology
- what field is psychology in
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