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- DictionarySet/set/
verb
- 1. put, lay, or stand (something) in a specified place or position: "Dana set the mug of tea down"
- 2. put or bring into a specified state: "the hostages were set free"
to place in some relation to something or someone: We set a supervisor over the new workers. to put into some condition: to set a house on fire. to put or apply: to set fire to a house. to put in the proper position: to set a chair back on its feet. to put in the proper or desired order or condition for use:
A set is a group of things that belong together, like the set of even numbers (2,4,6…) or the bed, nightstands, and dresser that make up your bedroom set. Set has many different meanings. As a verb, it means to put in place.
- Sets in Maths Examples
- Elements of A Set
- Cardinal Number of A Set
- Semantic Form
- Roster Form
- Set Builder Form
- Visual Representation of Sets Using Venn Diagram
- Singleton Sets
- Finite Sets
- Infinite Sets
Some standard sets in maths are: 1. Set of natural numbers, ℕ = {1, 2, 3, ...} 2. Set of whole numbers, W = {0, 1, 2, 3, ...} 3. Set of integers, ℤ = {..., -3, -2, -1, 0, 1, 2, 3, ...} 4. Set of rational numbers, ℚ = {p/q | q is an integer and q ≠ 0} 5. Set of irrational numbers, ℚ' = {x | x is not rational} 6. Set of real numbers, ℝ = ℚ ∪ ℚ' All t...
The items present in a set are called either elements or members of a set. The elements of a set are enclosed in curly brackets separated by commas. To denote that an element is contained in a set, the symbol '∈' is used. In the above example, 2 ∈ A. If an element is not a member of a set, then it is denoted using the symbol '∉'. For example, 3 ∉ A...
The cardinal number, cardinality, or order of a set denotes the total number of elements in the set. For natural even numbersless than 10, n(A) = 4. Sets are defined as a collection of unique elements. One important condition to define a set is that all the elements of a set should be related to each other and share a common property. For example, ...
Semantic notation describes a statement to show what are the elements of a set. For example, a set of the first five odd numbers.
The most common form used to represent sets is the roster notationin which the elements of the sets are enclosed in curly brackets separated by commas. For example, Set B = {2,4,6,8,10}, which is the collection of the first five even numbers. In a roster form, the order of the elements of the set does not matter, for example, the set of the first f...
The set builder notationhas a certain rule or a statement that specifically describes the common feature of all the elements of a set. The set builder form uses a vertical bar in its representation, with a text describing the character of the elements of the set. For example, A = { k | k is an even number, k ≤ 20}. The statement says, all the eleme...
Venn Diagram is a pictorial representation of sets, with each set represented as a circle. The elements of a set are present inside the circles. Sometimes a rectangle encloses the circles, which represents the universal set. The Venn diagram represents how the given sets are related to each other. Set symbols are used to define the elements of a gi...
A set that has only one element is called a singleton setor also called a unit set. Example, Set A = { k | k is an integer between 3 and 5} which is A = {4}.
As the name implies, a set with a finite or countable number of elements is called a finite set. Example, Set B = {k | k is a prime number less than 20}, which is B = {2,3,5,7,11,13,17,19}
A set with an infinite number of elements is called an infinite set. Example: Set C = {Multiples of 3}.
1. To put in a specified position or arrangement; place: set a book on a table; set the photo next to the flowers. 2. a. To put into a specified state: set the prisoner at liberty; set the house ablaze; set the machine in motion. b. To cause to begin an action: The noise set the dog to barking. c.
A set is a collection of objects (without repetitions). To describe a set, either list all its elements explicitly, or use a descriptive method. Intervals are sets of real numbers. The elements in a set can be any type of object, including sets. We can even have a set containing dissimilar elements.
In mathematics, a set is a collection of different [1] things; [2] [3] [4] 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. [5] .
Definition. What is a set? Well, simply put, it's a collection. First we specify a common property among "things" (we define this word later) and then we gather up all the "things" that have this common property. For example, the items you wear: hat, shirt, jacket, pants, and so on. I'm sure you could come up with at least a hundred.
