two arbitrary

USAGE SUMMARY

The phrase "two arbitrary" is correct and usable in written English. You can use it when referring to two items or elements that are chosen without any specific criteria or reason. For example, "We selected two arbitrary points on the graph for analysis." Alternative expressions include "two random," "two selected," and "two chosen."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

59 human-written examples

It means between two arbitrary points.

The Guardian - Books

Let be two arbitrary points in.

Journal of Inequalities and Applications

Let x0 and y0 be two arbitrary points in X.

Fixed Point Theory and Applications

Note that A1 and B are two arbitrary constants.

Mathematical Sciences

Let X and Y be two arbitrary sequence spaces.

Journal of Inequalities and Applications

where N0 and H0 are two arbitrary constants.

Mathematical Sciences

The transformations between two arbitrary tags in the calibration target.

Robotics and Biomimetics

Two arbitrary screws in space are equivalent to the sum of the mutual moment relation.

Mechanism and Machine Theory

Finally, we give a general description of inclusion between two arbitrary lacunary methods of statistical boundedness.

Journal of Inequalities and Applications

Take two arbitrary twice continuously differentiable convex functions and and define (2.14).

Journal of Inequalities and Applications

In this paper, we first study surfaces parameterized by the product of two arbitrary time scales.

Advances in Difference Equations

Expert writing Tips

Best practice

When using "two arbitrary", ensure the context clearly indicates that the selection of the items is not based on any specific criteria. This emphasizes the generality or randomness of the choice.

Common error

Avoid using "two arbitrary" when you actually mean "complex" or "difficult". "Arbitrary" refers to a selection made without a specific reason, not to the inherent nature of the items themselves.

Linguistic Context

The phrase "two arbitrary" functions as a determiner phrase, specifically an adjective phrase modifying a noun. It indicates that the selection or consideration of two items is done without any particular basis or specific pre-selection criteria. As Ludwig AI confirms, this usage is grammatically sound and prevalent.

Expression frequency: Very common

Frequent in

Science

77%

News & Media

8%

Formal & Business

5%

Less common in

Wiki

3%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "two arbitrary" is a grammatically correct and commonly used phrase, primarily in formal and scientific contexts. It signifies the selection of two items without any specific reason or pre-determined criteria, emphasizing generality and lack of bias. As highlighted by Ludwig AI, this phrase effectively communicates the idea that a statement or principle applies universally to any two elements. Remember to use it when you want to convey that the selection is not based on any particular property or characteristic. Ludwig's analysis confirms its consistent usage and validity across diverse sources.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

two random

Emphasizes the randomness of the selection.

two chosen at random

More explicitly states the random selection process.

two unspecified

Highlights that the specific identities are not defined.

two selected

General term for picking two items.

two distinct

Highlights that the items are different from each other.

two generic

Suggests the items are typical or representative.

two independent

Implies the items are not related or influenced by each other.

two sample

Implies the items are representative of a larger group.

two any

Indicates a choice of any two items from a set.

two example

Used when illustrating a principle or concept.

FAQs

How can I use "two arbitrary" in a sentence?

You can use "two arbitrary" to describe the selection of two items without any specific reason. For example, "We selected "two arbitrary points" on the graph for analysis."

What phrases are similar to "two arbitrary"?

Alternatives include "two random", "two unspecified", or "two generic", depending on the specific nuance you want to convey.

Is it correct to say "two arbitrary points"?

Yes, "two arbitrary points" is a grammatically correct and commonly used phrase, particularly in mathematics and science, to indicate two points chosen without any specific criteria.

What is the difference between "two arbitrary" and "two random"?

While both imply a lack of specific selection criteria, ""two random"" emphasizes the element of chance, whereas "two arbitrary" focuses on the absence of a pre-determined reason for the selection.