pair of points

USAGE SUMMARY

The phrase "pair of points" is correct and usable in written English.
It can be used when referring to two specific points, often in mathematical or geometric contexts. Example: "In the coordinate plane, we can define a line segment by a pair of points, A(1,2) and B(3,4)."

✓ Grammatically correct

Science

Academia

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

It will store the moves as a pair of points and a piece.

University of California, Berkeley

The maximin LHD problem calls for arranging N points in a k-dimensional grid so that no pair of points share a coordinate and the distance of the closest pair of points is as large as possible.

European Journal of Operational Research

Computing the shortest path between a pair of points is an important problem in robotics and intelligent transportation systems.

Microprocessors and Microsystems

An LHD with maximal minimum distance between any pair of points guarantees a high quality of the model.

Theoretical Computer Science

Consider a 2d point set S. If each pair of points p1,p2 from S satisfy following condition then set S is called maximal set.

Yale University

A unital 2- 28, 4, 1) design has 28 points, each block has size 4 and every pair of points is on exactly one block.

Discrete Applied Mathematics

The relative motion of any pair of points on a pathway is readily determined by computing the vector difference of their vibrations.

Nature

It is further supposed that the beam deflections at any pair of points, separated on the periodic support spacing, obey the special condition.

Journal of Sound and Vibration

However, it is subject to the constraint that during each iteration, the current pair of points have the same relative positions in their interval as the previous points had.

Stanford University

Recall that a topological space $X$ is Hausdorff iff for every distinct pair of points $x, y \in X$ there exist disjoint opens $U, V \subset X$ such that $x \in U$, $y \in V$.

Columbia University

With a chorus of whistles sweeping round this classically raucous French venue, Jimmy Gopperth nailed the conversion of Nathan Hughes's 78th-minute try from wide out on the right to claim a valuable pair of points.

The Guardian - Sport

Expert writing Tips

Best practice

When discussing geometric or spatial relationships, clearly define the coordinate system or reference frame to avoid ambiguity when using "pair of points".

Common error

Avoid using "pair of points" if the points are completely unrelated and their pairing is arbitrary. In such cases, simply refer to "two points" or "a set of points".

Linguistic Context

The phrase "pair of points" functions primarily as a noun phrase. It typically serves as the subject or object of a sentence, referring to two specific locations or data points that are being considered together, often in relation to their distance, relationship, or properties. Ludwig AI indicates that this phrase is indeed correct.

Expression frequency: Very common

Frequent in

Science

62%

Academia

25%

News & Media

7%

Less common in

Encyclopedias

2%

Formal & Business

2%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "pair of points" is a grammatically sound and frequently used noun phrase, particularly within scientific and academic domains. As Ludwig AI confirms, its correct usage involves referring to two distinct locations or data points, often to analyze their relationship or define a geometric structure. While "couple of points" and "two points" serve as potential alternatives, "pair of points" emphasizes the connection or relationship between those locations.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

couple of points

A synonym with interchangeable meaning.

two points

Directly states the quantity, without implying a relationship.

point pair

Reorders the words, maintaining the same core meaning.

set of two points

Emphasizes the grouping aspect.

brace of points

A more formal or archaic way to refer to a pair.

duo of points

Uses a synonym for "pair", slightly altering the tone.

dyad of points

More formal term, typically in mathematical or scientific contexts.

two locations

Focuses on the spatial aspect of the points.

two positions

Highlights the placement or arrangement of the points.

aforementioned locations

Refers to two points previously mentioned, adding context.

FAQs

How can I use "pair of points" in a sentence?

You can use "pair of points" to describe two locations in space, such as, "The distance between the "pair of points" determines the length of the line segment".

What are some alternatives to "pair of points"?

Depending on the context, you could use "couple of points", "two points", or "point pair".

Is it more appropriate to say "pair of points" or "two points"?

While both are correct, "pair of points" suggests a connection or relationship between the points, whereas "two points" is a more neutral description.

In what context is "pair of points" commonly used?

"Pair of points" is frequently used in mathematical, scientific, and engineering contexts when describing geometric shapes, data analysis, or spatial relationships.