an ordered pair

USAGE SUMMARY

The phrase "an ordered pair" is correct and usable in written English.
It is typically used in mathematics and computer science to refer to a pair of elements where the order matters, often represented as (a, b). Example: "In coordinate geometry, each point on the plane can be represented as an ordered pair (x, y)."

✓ Grammatically correct

Science

Academia

Wiki

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

58 human-written examples

For example, why couldn't the input be an ordered pair of numbers?

Massachusetts Institute of Technology

A closed interval is an ordered pair of real numbers [x, y], with x ⩽ y.

Information Sciences

We can plot any complex number in a plane as an ordered pair, as shown in Fig.2.2.

Stanford University

interval designator n. (of type T) an ordered pair of objects that describe a subtype of T by delimiting an interval on the real number line.

Massachusetts Institute of Technology

Although the complex plane looks like the ordinary two-dimensional plane, where each point is determined by an ordered pair of real numbers (x, y), the point x + iy is a single number.

Britannica

Define an ordered pair by (3.15).

Fixed Point Theory and Applications

A wireless link is represented as an ordered pair of distinct nodes.

EURASIP Journal on Wireless Communications and Networking

More precisely, a hyperarc is an ordered pair of vertex (multi sets.

Journal of Cheminformatics

Let be an ordered pair of sub- and supersolutions of problem (1.1).

Journal of Inequalities and Applications

A graph is an ordered pair, where is a set and is a binary relation on.

Fixed Point Theory and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

1 human-written examples

The degree of agreement is determined by an ordered-pair score s : the percentage of all ordered pairs that match the orders in the sequence.

eLife

Expert writing Tips

Best practice

When using "an ordered pair", ensure the context clearly indicates why the order of the elements is significant. If the order doesn't matter, consider using "a set of two" instead.

Common error

Avoid using "an ordered pair" when the sequence or arrangement of elements does not affect the meaning. This can lead to confusion if the reader interprets the order as significant when it's not.

Linguistic Context

An ordered pair functions primarily as a noun phrase. Ludwig AI confirms it's often found in mathematical and technical contexts. The phrase refers to a specific arrangement of two elements where the sequence is significant.

Expression frequency: Very common

Frequent in

Science

55%

Academia

25%

Wiki

10%

Less common in

Encyclopedias

5%

News & Media

3%

Formal & Business

2%

Ludwig's WRAP-UP

In summary, "an ordered pair" is a noun phrase widely used in formal, academic, and scientific fields to denote a pair of elements where the order is significant. Ludwig AI's analysis demonstrates its frequent occurrence in mathematics, computer science, and related disciplines. When writing, ensure the context highlights the importance of the order; otherwise, consider alternative phrases like "a set of two" or "a coordinate pair" for clarity.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a pair of elements

Highlights that two elements are being considered as a set.

a coordinate pair

Focuses specifically on the use of pairs in coordinate systems.

a two-tuple

Highlights the mathematical structure of a tuple with two elements.

a sequence of two

Emphasizes the sequential arrangement of two items.

an ordered sequence

Stresses the importance of the order within the sequence.

a doublet

Refers to a pair of things, often in a scientific or technical context.

a tuple of length two

Specifically describes a tuple with a length of two.

a dyad

A more formal or technical term for a pair, especially in sociology or psychology.

a couple

A general term for two things or people considered together.

a binary relation

Focuses on the relationship between two elements.

FAQs

How is "an ordered pair" used in mathematics?

In mathematics, "an ordered pair" /s/ordered+pair is commonly used to represent coordinates on a graph, where the order indicates the position on the x-axis and y-axis respectively. It is also used in set theory and relations where the order of elements matters.

What is the difference between "an ordered pair" and a set?

In "an ordered pair" /s/ordered+pair, the order of elements matters, and the same element can appear multiple times. In a set, the order does not matter, and elements are unique. For example, (1, 2) and (2, 1) are different ordered pairs, but {1, 2} and {2, 1} represent the same set.

When is it appropriate to use "an ordered pair" in computer science?

In computer science, "an ordered pair" /s/ordered+pair can be used to represent key-value pairs in dictionaries, edges in graphs, or any situation where the sequence of two elements is important for the meaning or operation.

What are some alternatives to "an ordered pair"?

Depending on the context, you can use alternatives like "a coordinate pair", "a two-tuple", or simply "a pair of elements" if the order is clear from the surrounding text. If the order does not matter, using the phrase "a set of two" might be more appropriate.