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- A set is a collection of well-defined and distinct objects or elements1234. The objects can be anything, such as numbers, days, birds, etc.13. Each object in the set is called an element of the set13. A set is represented by a capital letter and curly brackets are used to write the elements of the set14. For example, A = {1, 2, 3} is a set of three natural numbers4.Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.Sets in mathematics, are simply a collection of distinct objects forming a group. A set can have any group of items, be it a collection of numbers, days of a week, types of vehicles, and so on. Every item in the set is called an element of the set. Curly brackets are used while writing a set. A very simple example of a set would be like this.www.cuemath.com/algebra/sets/What is set (in mathematics)? The collection of well-defined distinct objects is known as a set. The word well-defined refers to a specific property which makes it easy to identify whether the given object belongs to the set or not. The word ‘distinct’ means that the objects of a set must be all different.www.math-only-math.com/sets.htmlIn mathematics, a set is defined as a collection of distinct, well-defined objects forming a group. There can be any number of items, be it a collection of whole numbers, months of a year, types of birds, and so on. Each item in the set is known as an element of the set.www.splashlearn.com/math-vocabulary/setsWhat is a Set? In Maths, sets are a collection of well-defined objects or elements. A set is represented by a capital letter symbol and the number of elements in the finite set is represented as the cardinal number of a set in a curly bracket {…}. For example, set A is a collection of all the natural numbers, such as A = {1,2,3,4,5,6,7,8,…..∞}.byjus.com/maths/what-is-a-set/
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- verbset (verb) · sets (third person present) · set (past tense) · set (past participle) · setting (present participle)
- put, lay, or stand (something) in a specified place or position:"Dana set the mug of tea down" · "Catherine set a chair by the bed"
- (be set)be situated or fixed in a specified place or position:"the village was set among olive groves on a hill"Similar:be situatedbe locatedbe sitedbe perchedbe found
- represent (a story, play, movie, or scene) as happening at a specified time or in a specified place:"a spy novel set in Berlin"
- mount a precious stone in (something, typically a piece of jewelry):"a bracelet set with emeralds"
- mount (a precious stone) in something:"a huge square-cut emerald set in platinum"
- printingarrange (type) as required:"the compositors refused to set the type for an editorial"
- printingarrange the type for (a piece of text):"article headings will be set in Times fourteen point"
- prepare (a table) for a meal by placing cutlery, dishes, etc., on it in their proper places:"she set the table and began breakfast"
- cause (a hen) to sit on eggs:"you had to set the clucking hens"
- put (a seed or plant) in the ground to grow:"I set the plants in shallow hollows to facilitate watering"
- sailingput (a sail) up in position to catch the wind. See also set sail below."a safe distance from shore all sails were set"
- put or bring into a specified state:"the hostages were set free" · "plunging oil prices set in motion an economic collapse in Houston"Similar:get under wayget goingget in operationget working/functioningstart/get/set the ball rollingtrigger offspark off
- cause (someone or something) to start doing something:"the incident set me thinking"
- instruct (someone) to do something:"he'll set a man to watch you"
- give someone (a task):"the problem we have been set"
- devise (a test) and give it to someone to do.
- establish as (an example) for others to follow, copy, or try to achieve:"the scheme sets a precedent for other companies"
- establish (a record):"his time in the 25-meter freestyle set a national record"
- decide on:"they set a date for a full hearing at the end of February"
- fix (a price, value, or limit) on something:"the unions had set a limit on the size of the temporary workforce"
- adjust (a clock or watch), typically to show the right time:"set your watch immediately to local time at your destination" · "to revert to an old style would be to try to set back the clock and deny the progress which had been made"
- adjust (an alarm clock) to sound at the required time:"I usually set my alarm clock for eight"
- adjust (a device or its controls) so that it performs a particular operation:"you have to be careful not to set the volume too high"
- electronicscause (a binary device) to enter the state representing the numeral 1.
- harden into a solid or semisolid state:"cook for a further thirty-five minutes until the filling has set"Opposite:
- arrange (the hair) while damp so that it dries in the required style:"she had set her hair on small rollers"
- put parts of (a broken or dislocated bone or limb) into the correct position for healing:"he lined up the bones and set the arm"
- (of a bone) be restored to its normal condition by knitting together again after being broken:"dogs' bones soon set"
- (with reference to a person's face) assume or cause to assume a fixed or rigid expression:"her features never set into a civil parade of attention" · "Travis's face was set as he looked up"
- (of the eyes) become fixed in position or in the feeling they are expressing:"his bright eyes set in an expression of mocking amusement"
- (of a hunting dog) adopt a rigid attitude indicating the presence of game.
- (of a tide or current) take or have a specified direction or course:"a fair tide can be carried well past Land's End before the stream sets to the north"
- NORTH AMERICAN ENGLISHstart (a fire):"the school had been broken into and the fire had been set"
- (of blossom or a tree) develop into or produce (fruit):"wait until first flowers have set fruit before planting out the peppers"
- (of fruit) develop from blossom:"once fruits have set, feed weekly with a high potash liquid tomato fertilizer"
- (of a plant) produce (seed):"the herb has flowered and started to set seed"
- dialectsit:"a perfect lady—just set in her seat and stared"
OriginOld English settan, of Germanic origin; related to Dutch zetten, German setzen, also to sit.nounset (noun) · sets (plural noun) · dead set (noun) · dead sets (plural noun)- a group or collection of things that belong together or resemble one another or are usually found together:"a set of false teeth" · "a new cell with two sets of chromosomes" · "a spare set of clothes"
- a collection of implements, containers, or other objects customarily used together for a specific purpose:"an electric fondue set"
- a group of people with common interests or occupations or of similar social status:"it was a fashionable haunt of the literary set"
- (in tennis, darts, and other games) a group of games counting as a unit toward a match, only the player or side that wins a defined number or proportion of the games being awarded a point toward the final score:"he took the first set 6-3"
- (in jazz or popular music) a sequence of songs or pieces performed together and constituting or forming part of a live show or recording:"a short four-song set"
- a group of people making up the required number for a square dance or similar country dance.
- a fixed number of repetitions of a particular bodybuilding exercise. Compare with rep."making sure that you perform 3 sets of at least 8 repetitions"
- mathematicslogica collection of distinct entities regarded as a unit, being either individually specified or (more usually) satisfying specified conditions:"the set of all positive integers"
- the posture or attitude of a part of the body, typically in relation to the impression this gives of a person's feelings or intentions:"the determined set of her upper torso"
- the flow of a current or tide in a particular direction:"the rudder kept the dinghy straight against the set of the tide"
- a setter's pointing in the presence of game.
- the alternating outward inclinations of the teeth of a saw.
- a warp or bend in wood, metal, or another material caused by continued strain or pressure.
- a radio or television receiver:"a TV set"
- an arrangement of the hair when damp so that it dries in the required style:"a shampoo and set"
- a cutting, young plant, or bulb used in the propagation of new plants.
- a young fruit that has just formed.
- the last coat of plaster on a wall.
- printingthe amount of spacing in type controlling the distance between letters.
- the width of a piece of type.
- variant spelling of sett
Originlate Middle English: partly from Old French sette, from Latin secta ‘sect’, partly from set.adjectiveset (adjective)- (of a view or habit) unlikely to change:"I've been on my own a long time and I'm rather set in my ways"Opposite:
- (of a person's expression) held for an unnaturally long time without changing, typically as a reflection of determination:"Iris was staring in front of her with a set expression"
- (of a meal or menu in a restaurant) offered at a fixed price with a limited choice of dishes:"a three-course set menu"
- having a conventional or predetermined wording; formulaic. See also set phrase."witnesses often delivered their testimony according to a set speech"
- ready, prepared, or likely to do something:"the first family was set for a quiet night of rest" · "both are all set to get married" · "water costs look set to increase"Opposite:
- (set against)firmly opposed to:"an approach set against tradition and authority"Similar:opposed toaverse tohostile toin opposition toresistant toantipathetic tounsympathetic to
- (set on)determined to do (something):"he's set on marrying that girl"Similar:determined tointent onbent onhell bent oncommitted to the idea ofresolved toresolute aboutinsistent about/onOpposite:
Originlate Old English, past participle of set. - See moreSee all on Wikipedia
Set (mathematics) - Wikipedia
In mathematics, a set is a collection of different things; these things are called elements or members of the set and are typically mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. A set may have a finite number of elements … See more
Mathematical texts commonly denote sets by capital letters in italic, such as A, B, C. A set may also be called a collection or family, especially when its elements are themselves sets. See more
A singleton set is a set with exactly one element; such a set may also be called a unit set. Any such set can be written as {x}, where x is the element. The set {x} and the element x … See more
There are sets of such mathematical importance, to which mathematicians refer so frequently, that they have acquired special names and notational conventions to identify them. See more
If B is a set and x is an element of B, this is written in shorthand as x ∈ B, which can also be read as "x belongs to B", or "x is in B". The statement … See more
The empty set (or null set) is the unique set that has no members. It is denoted ∅, $${\displaystyle \emptyset }$$, { }, ϕ, or ϕ. See more
If every element of set A is also in B, then A is described as being a subset of B, or contained in B, written A ⊆ B, or B ⊇ A. The latter notation … See more
An Euler diagram is a graphical representation of a collection of sets; each set is depicted as a planar region enclosed by a loop, with its … See more
Wikipedia text under CC-BY-SA license Introduction to Sets - Math is Fun
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WEBSep 20, 2019 · A set is a collection of well-defined objects or elements, represented by a capital letter and curly brackets. Learn the different …
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WEBLearn what a set is in math, how to represent it, and how to classify it. A set is a collection of distinct, well-defined objects forming a group, such as odd numbers, months, or birds.
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