is bounded

USAGE SUMMARY

The phrase "is bounded" is correct and usable in written English.
It can be used in mathematical or technical contexts to describe something that is confined or limited within certain boundaries. Example: "The function is bounded within the interval [0, 1], meaning it does not exceed these values."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Our free will is bounded.

The New York Times

His world is bounded by Homer and Goethe.

The New York Times - Books

A child's world is bounded by what they see.

The Guardian

One edge is bounded by a native hedge.

The Guardian - Lifestyle

Hence, is bounded, that is, is bounded.

Fixed Point Theory and Applications

Since is bounded, is bounded for each.

Fixed Point Theory and Applications

{Tx n } is bounded, so is bounded.

Fixed Point Theory and Applications

This implies that is bounded ( is bounded).

EURASIP Journal on Image and Video Processing

since is bounded on.

Journal of Inequalities and Applications

Thus is bounded in.

Journal of Inequalities and Applications

Thus, is bounded if.

Journal of Inequalities and Applications

Expert writing Tips

Best practice

When using "is bounded" in mathematical or technical writing, clearly define the boundaries or limits being referred to for clarity.

Common error

Avoid using "is bounded" in contexts where a more general term like "limited" or "restricted" would be more appropriate, as it implies a specific mathematical or technical limitation.

Linguistic Context

The phrase "is bounded" primarily functions as a verb phrase, often serving as a predicate adjective to describe the state of a subject being limited or confined within specific boundaries. Ludwig examples show its use in scientific and general contexts. The Ludwig AI confirms its correctness and usability.

Expression frequency: Very common

Frequent in

Science

86%

News & Media

14%

Formal & Business

0%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, the phrase "is bounded" is a grammatically sound and frequently used verb phrase, particularly within scientific and technical domains. Ludwig AI confirms its correctness. Its primary function is to define limitations or boundaries precisely. While "is limited" and "is confined" serve as alternatives, "is bounded" often implies a more formal or mathematical context. Usage patterns reveal its strong prevalence in scientific literature, indicating a formal register. When using "is bounded", ensure clear definition of the boundaries to maintain precision, but avoid overuse in general contexts where simpler alternatives suffice. Ludwig examples effectively illustrate its application across diverse scenarios.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is limited

Focuses on the constraint aspect using a different verb.

is confined

Emphasizes the restriction to a specific area or range.

is restricted

Highlights the imposed limits or boundaries.

is finite

Implies a numerical or quantifiable limit.

is circumscribed

Suggests a defined boundary that surrounds something.

is demarcated

Emphasizes a clear marking or definition of boundaries.

is defined

Highlights a clear and established limit or scope.

is kept within limits

Expresses the idea of maintaining something inside certain constraints.

does not exceed

Focuses on the upper limit or maximum value.

is under control

Shifts the focus to managing or containing something within certain parameters.

FAQs

How to use "is bounded" in a sentence?

The phrase "is bounded" is used to describe something that is limited or confined within certain limits or boundaries. For example, "The function is bounded within the interval [0, 1]".

What can I say instead of "is bounded"?

You can use alternatives like "is limited", "is confined", or "is restricted" depending on the specific context.

In what contexts is it appropriate to use "is bounded"?

The phrase "is bounded" is most appropriate in mathematical, scientific, or technical contexts where precise limits or boundaries are being discussed. It is less suitable for general or informal contexts.

What is the difference between "is bounded" and "is limited"?

While both phrases imply a restriction, "is bounded" typically suggests a more formal or mathematical constraint with clearly defined boundaries. "Is limited" is a more general term that can apply to a broader range of contexts.