abundant number

USAGE SUMMARY

The phrase "abundant number" is correct and usable in written English.
It can be used in mathematical contexts to refer to a specific type of number that is greater than the sum of its proper divisors. Example: "In number theory, an abundant number is defined as a number for which the sum of its proper divisors exceeds the number itself, such as 12."

✓ Grammatically correct

Science

News & Media

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

She is helped by the abundant number of working-class whites, as well as the growing number of Hispanics, in the area.

The New York Times

Eventually, using the validated ANN, an abundant number of curves (Master Curves) were generated to introduce a user-friendly equation.

Engineering Structures

This model naturally arises in an abundant number of applications in different fields of mathematics, economics and engineering.

European Journal of Operational Research

Marius Hills Complex is one of the most important regions in the entire lunar surface for having a complex setting of volcanic constructs with an abundant number of volcanic features like domes, cones and rilles.

Advances in Space Research

In an abundant number, the sum of its proper divisors (i.e., including 1 but excluding the number itself) is greater than the number; in a deficient number, the sum of its proper divisors is less than the number.

Encyclopedia Britannica

Most numbers are either "abundant" or "deficient". In an abundant number, the sum of its proper divisors (i.e., including 1 but excluding the number itself) is greater than the number; in a deficient number, the sum of its proper divisors is less than the number.

Britannica

An abundant number of related works and publications exist in the literature, emphasizing the importance and demand of security solutions for cloud computing.

Journal of Cloud Computing: Advances, Systems and Applications

There is already an abundant number of clinical trials and published research on the uses of adipose derived stem cells on a wide range of diseases and conditions.

Clinical and Translational Medicine

And while a low cost of living in other markets may make sense to the bottom line, the need for an abundant number of highly skilled and educated workers outweighed any short-term financial benefits.

Forbes

Our experimental use case and derived workflow suggests how subspace analysis methods can be leveraged, avoiding some of their practical pitfalls, e.g., generation of an abundant number of similar or redundant subspaces.

Brain Informatics

Even with an abundant number of Android set top boxes floating around, the promise of the Remix Mini managed to capture Kickstarter's imagination in a big way, pulling in $1.6 million in pledges when it closed in August of last year.

TechCrunch

Expert writing Tips

Best practice

When using "abundant number", ensure the noun it modifies is countable. For uncountable nouns, consider using "abundant amount" or "abundant supply".

Common error

Avoid using "abundant number" with uncountable nouns like "information" or "water". Instead, use "abundant amount" or "large quantity" to maintain grammatical correctness and clarity.

Linguistic Context

The phrase "abundant number" functions as a pre-modifying adjective phrase followed by a noun, describing the quantity of something. As confirmed by Ludwig AI, it is suitable for use in mathematical contexts, among others. Examples from Ludwig show it often precedes countable nouns.

Expression frequency: Very common

Frequent in

Science

64%

News & Media

24%

Encyclopedias

3%

Less common in

Formal & Business

2%

Wiki

2%

Social Media

0%

Ludwig's WRAP-UP

In summary, "abundant number" is a grammatically sound phrase used to denote a large quantity of countable items. Ludwig AI confirms its correctness, with numerous examples showing its application across diverse fields such as science, news, and encyclopedias. While versatile, remember to pair it with countable nouns and consider alternatives like "large quantity" or "great amount" depending on the context. Also, remember to use "an" before "abundant". Given its frequent usage, mastering this phrase will enhance clarity and precision in your writing.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

large quantity

Replaces the adjective "abundant" with "large" while maintaining the same core concept of quantity.

great amount

Substitutes both "abundant" and "number" with synonyms that emphasize the size and measure.

substantial quantity

Uses "substantial" to denote a significant or considerable amount, similar to "abundant".

ample supply

Shifts the focus to availability and sufficiency, suggesting there is more than enough.

copious amount

Employs "copious" to indicate a plentiful or generous quantity.

plentiful supply

Similar to "ample supply", it emphasizes the idea of something being readily and generously available.

considerable number

Replaces "abundant" with "considerable", highlighting a significant quantity.

significant quantity

Focuses on the importance and impact of the quantity, rather than just its size.

profusion of

Uses a noun to express abundance, indicating a lavish or extravagant amount.

wealth of

Implies not only a large quantity but also a richness or high value.

FAQs

How can I use "abundant number" in a sentence?

You can use "abundant number" to describe a large quantity of countable items. For instance, "There is an "abundant number" of opportunities in this field."

What are some alternatives to "abundant number"?

Some alternatives include "large quantity", "great amount", or "substantial quantity" depending on the context.

Is it correct to say "an abundant number of" or "a abundant number of"?

It is correct to say "an abundant number of" because "abundant" starts with a vowel sound. The article "an" is used before words beginning with a vowel sound.

What's the difference between "abundant number" and "large amount"?

"Abundant number" is used with countable nouns, while "large amount" is used with uncountable nouns. For example, "abundant number of books" versus "large amount of water".