WebDefinition of the ordered triple (a, b, c) according to An ordered triple is basically a set of three elements written in a particular sequence. Similar to ordered pairs, order is of significance. WebGraph (discrete mathematics) A graph with six vertices and seven edges. In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical abstractions called vertices (also called nodes or ...
Did you know?
Webfunction, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential … WebDefinition 2.2.1 Given two sets, A and B,a(binary) relation between A and B isanytriple, A,R,B,where R ⊆ A×B is any set of ordered pairs from A×B.When a,b∈R,wealsowriteaRb and we say that a and b are related by R.Theset dom(R)={a ∈ A ∃b ∈ B, a,b∈R} is called the domain of R and the set range(R)={b ∈ B ∃a ∈ A, a,b∈R} is called the range of …
WebThe ordered triple ( a, b, c) of elements a, b and c can be defined either as the ordered pair : where ( a, b) and ( b, c) are themselves ordered pairs . Whichever definition is chosen … WebDefinition. The ordered triple ( a, b, c) of elements a, b and c can be defined either as the ordered pair : where ( a, b) and ( b, c) are themselves ordered pairs . Whichever definition is chosen does not matter much, as long as it is understood which is used. And even then, the importance is limited.
WebTriple Definition (Illustrated Mathematics Dictionary) A B C D E F G H I J K L M N O P Q R S T U V W X Y Z Definition of Triple To multiply by 3. To have 3 of something. Example: Triple 6 is 18 (because 3 × 6 = 18) Or a set of three things … WebOct 13, 2024 · An explanation of how ordered pairs become ordered triples, quadruples and above.This series covers the basics of set theory and higher order logic. In this ...
Web: a triple sum, quantity, or number b : a combination, group, or series of three 2 : a base hit that allows the batter to reach third base safely 3 : trifecta sense 2 triple 3 of 3 adjective 1 …
WebTriple. To multiply by 3. To have 3 of something. Example: Triple 6 is 18 (because 3 × 6 = 18) Or a set of three things together. high waisted jeans for teens size xxlWebAug 2, 2008 · #1 This is how I've defined an ordered triple: ( (a,b),c) is the set { { {a,1}, {b,2}} , {c,3} }. Based on the fact that I've already proved equality for ordered pairs (a,b) = (c,d) iff a=c, b=d, I'm trying to prove the same for the triples. This is what I've got: ( (a,b),c) = ( (d,e),f) if { { {a,1}, {b,2}} , {c,3} } = { { {d,1}, {e,2}} , {f,3} } how many feet is 3 000 metersWebApr 17, 2024 · An ordered pair (with first element from A and second element from B) is a single pair of objects, denoted by ( a, b ), with a ∈ A and b ∈ B and an implied order. This means that for two ordered pairs to be equal, they must contain exactly the same objects in the same order. That is, if a, c ∈ A and b, d ∈ B, then how many feet is 266 inchesWebFeb 18, 2024 · Ordered pairs. If sets are always unordered, one might wonder how one defines ordered mathematical objects in terms of sets. The following ingenious definition … how many feet is 3 cmWebOrdered triple: Three numbers that are used to identify the position of a point in space. The three numbers are called coordinates and are represented by (x, y, z). Ordinal Number: A … high waisted jeans for wide hipsWebIn mathematics, an ordered pair (a, b) is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair (a, b) is different from the ordered pair (b, … how many feet is 3 football fieldsWebA 1‑tuple is called a single (or singleton), a 2‑tuple is called an ordered pair or couple, and a 3‑tuple is called a triple (or triplet). The number n can be any nonnegative integer . For … how many feet is 3 m