equivalent categories

USAGE SUMMARY

The phrase "equivalent categories" is correct and usable in written English.
It can be used in contexts such as mathematics, computer science, or philosophy when discussing categories that have the same structure or properties. Example: "In category theory, two categories are said to be equivalent categories if there exists a pair of functors that establish a correspondence between their objects and morphisms."

✓ Grammatically correct

Science

Encyclopedias

News & Media

Human-verified examples from authoritative sources

Exact Expressions

12 human-written examples

The names previously understood as referring to tribes can continue to be used, however, as convenient shorthand as long as it is realized that they do not all represent equivalent categories.

Encyclopedia Britannica

The non-associative Lie theory deals with the following three equivalent categories: formal loops; Sabinin algebras; irreducible cocommutative and coassociative non-associative Hopf algebras.

Bulletin of Mathematical Sciences

Algebra 212 (2008) 2401 2412] if and only if they have equivalent categories of dual operator modules via completely contractive functors which are also weak∗-continuous on appropriate morphism spaces.

Journal of Functional Analysis

end{aligned}In this setup, we have the following three equivalent categories: simply-connected finite-dimensional Moufang loops, finite-dimensional Malcev algebras, and finitely generated irreducible Moufang-Hopf algebras.

Bulletin of Mathematical Sciences

We define 'converted' lands as those that lack natural cover and are classified on land cover maps as urban, industrial, mines, or equivalent categories.

Plosone

We call these equivalent categories the 'evaluation points' (see Supplementary Material Section 6.1 for details).

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

48 human-written examples

(Producers of "The Best Man" had aimed him in the equivalent category for the Tonys too, but the nominating committee ruled his role a lead part).

The New York Times

Zerhouni's explanation: Germain is "a world-class immunologist... basically in the Nobel Prize equivalent category.

Science Magazine

Figure 1 illustrates how net prices have fallen steadily during the period 2009 14 for two typical BEV classes as represented by the Think City/Mitsubishi i-Miev, which are of relatively equivalent category, and the Nissan Leaf.

European Transport Research Review

Ami reached peak intensity as an equivalent Category 3 cyclone on the Australian cyclone scale on January 14.

Wikipedia

As of Thursday afternoon, the National Weather Service said the threat to life and property for Brownsville and the surrounding areas was high and that "Emergency plans should include a reasonable threat for hurricane force wind of 74 to 110 mph of equivalent Category 1 to 2 intensity".

Huffington Post

Expert writing Tips

Best practice

When using "equivalent categories", ensure that the criteria for equivalence are clearly defined to avoid ambiguity. For example, specify whether equivalence is based on function, composition, or some other attribute.

Common error

Avoid using "equivalent categories" when the categories are merely similar but not truly interchangeable. Ensure that items within each category can be consistently mapped to items within the other category without loss of information or function.

Linguistic Context

The phrase "equivalent categories" functions as a noun phrase, where "equivalent" modifies "categories". It describes sets or groupings that are considered to be the same or interchangeable for a specific purpose. Ludwig examples confirm this usage in varied academic and practical scenarios.

Expression frequency: Common

Frequent in

Science

65%

News & Media

15%

Encyclopedias

10%

Less common in

Wiki

5%

Formal & Business

5%

Social Media

0%

Ludwig's WRAP-UP

In summary, "equivalent categories" is a grammatically correct and frequently used phrase that describes sets or groupings considered the same or interchangeable. As Ludwig AI indicates, it is common across scientific, encyclopedic, and news contexts. To use it effectively, define the criteria for equivalence clearly and avoid using it when categories are merely similar. Related phrases include "matching categories" and "comparable classifications". By following these guidelines, you can confidently incorporate "equivalent categories" into your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

identical classifications

Emphasizes the complete sameness in the way things are classified.

matching categories

Focuses on the correspondence or alignment between categories.

synonymous categories

Indicates that the categories are interchangeable in meaning or application.

comparable classifications

Highlights the similarity in the way things are grouped or sorted.

analogous groups

Emphasizes the parallel nature of the groups, suggesting they serve similar functions or have similar characteristics.

corresponding sets

Stresses the direct relationship or mapping between sets.

interchangeable classes

Indicates that the classes can be used in place of each other without altering the outcome.

uniform groupings

Highlights the consistent or standardized nature of the groupings.

parallel divisions

Implies that the divisions run alongside each other, sharing a similar structure or purpose.

alike groupings

Simple and direct way of expressing that the groupings are similar to each other.

FAQs

How can I use "equivalent categories" in a sentence?

You can use "equivalent categories" to describe sets that have the same properties or can be used interchangeably. For example: "In this study, we grouped the data into "equivalent categories" based on their functionality."

What's a simpler way to say "equivalent categories"?

Depending on the context, you could use phrases like "matching categories", "similar groups", or "comparable classifications".

How do "equivalent categories" differ from "similar categories"?

"Equivalent categories" implies a higher degree of sameness or interchangeability than "similar categories". While similar categories share some traits, "equivalent categories" can often be used in place of each other without altering the core meaning or outcome.

In what fields is the term "equivalent categories" most commonly used?

The term "equivalent categories" is frequently used in fields like mathematics, computer science, statistics, and social sciences to describe sets or groups that are functionally identical or have the same underlying structure. Ludwig AI confirms its broad applicability.