decreasing on

USAGE SUMMARY

The phrase "decreasing on" is correct and usable in written English.
It can be used when describing a function or variable that is reducing in value over a specific interval or domain. Example: "The function is decreasing on the interval from 2 to 5."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Thus is decreasing on by Lemma 2.1.

Journal of Inequalities and Applications

Hence is decreasing on and is decreasing on by Lemma 2.1.

Journal of Inequalities and Applications

This leads to that is decreasing on by Lemma 2.1.

Journal of Inequalities and Applications

(iv) is decreasing on.

Boundary Value Problems

Then is decreasing on.

Advances in Difference Equations

Hence, is decreasing on.

Advances in Difference Equations

That is, is decreasing on.

Boundary Value Problems

Hence, is strictly decreasing on.

Journal of Inequalities and Applications

So and is decreasing on.

Journal of Inequalities and Applications

So, is decreasing on and.

Advances in Difference Equations

and is strictly decreasing on.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

Use "decreasing on" when referring to a trend or quantity that diminishes over a specified range or condition. This is commonly used in scientific and economic contexts.

Common error

Avoid using "decreasing in" or "decreasing at" when you mean "decreasing on". The preposition "on" specifies the domain or interval where the decrease occurs. For example, it is more appropriate to say "The demand is decreasing on mobile" rather than "The demand is decreasing in mobile".

Linguistic Context

The phrase "decreasing on" functions as a verbal phrase describing the behavior of a variable or function over a specific domain or interval. It indicates a negative trend or reduction in value. Ludwig provides examples where it's used in mathematical and general contexts.

Expression frequency: Common

Frequent in

Science

95%

News & Media

3%

Formal & Business

2%

Less common in

Wiki

0%

Encyclopedias

0%

Reference

0%

Ludwig's WRAP-UP

The phrase "decreasing on" is a common and grammatically correct expression used to describe the behavior of a function or variable within a specific interval or domain. Predominantly found in scientific and technical contexts, as highlighted by Ludwig, it signifies a trend of reduction or decline. When using "decreasing on", ensure clarity by specifying the exact range where the decrease occurs. Avoid substituting "on" with other prepositions like "in" for maintaining grammatical precision. Explore semantically similar alternatives, such as "declining over" or "diminishing in", to add variety to your writing, while keeping in mind they might imply subtle differences in meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

declining over

Focuses on the process of declining rather than the specific domain or range.

diminishing in

Emphasizes the gradual reduction in size or importance within a certain scope.

reducing across

Highlights the action of reducing something within a specific area.

falling within

Indicates a downward trend within defined boundaries.

lessening on

Similar to decreasing but with a slightly different connotation of becoming less.

dropping over

Suggests a quick or sudden reduction over a period or range.

weakening across

Conveys a reduction in strength or effectiveness within a specific context.

tapering off in

Implies a gradual decrease to a point of near cessation.

attenuating within

Describes a reduction in intensity or effect within specified parameters.

subsiding across

Indicates a decrease in activity or intensity over a range.

FAQs

How is "decreasing on" used in mathematical contexts?

In mathematics, "decreasing on" describes a function's behavior over an interval. For example, a function f(x) is decreasing on an interval if, for any two points a and b in that interval where a < b, then f(a) ≥ f(b). This means the function's value does not increase as x increases within that interval.

What are some alternatives to "decreasing on" that I can use?

Depending on the context, you can use phrases like "declining over", "diminishing in", or "reducing across" to convey a similar meaning.

Is it correct to say "decreasing in" instead of "decreasing on"?

While "decreasing in" might be used informally, "decreasing on" is generally more precise and grammatically correct, especially in technical and mathematical contexts. It clearly specifies the interval or domain where the decrease is observed.

What does it mean when a function is said to be "strictly decreasing on" an interval?

If a function is "strictly decreasing on" an interval, it means that for any two points a and b in that interval where a < *b*, then *f(a)* > f(b). In other words, the function's value always decreases as x increases; it never stays the same.