a fixed point

USAGE SUMMARY

"a fixed point" is a correct and usable phrase in written English.
It can be used to describe a specific point or location that does not move or change. For example: - "The hikers reached a fixed point on the map where they could finally stop for a break." - "The painting hung on the wall serves as a fixed point in the room, drawing the eye towards it." - "His moral code was a fixed point in his life, providing a sense of stability and direction."

✓ Grammatically correct

Science

News & Media

Wiki

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Fix your eyes on a fixed point.

WikiHow

No person is a fixed point.

The New York Times - Magazine

He is a fixed point in an emotionally chaotic universe.

The Guardian

Pi does not move; pi is a fixed point.

The New Yorker

ThenThas a fixed point.

Fixed Point Theory and Applications

has a fixed point, or.

Advances in Difference Equations

Define for a fixed point.

Journal of Inequalities and Applications

where is a fixed point.

Journal of Inequalities and Applications

Let be a fixed point.

Boundary Value Problems

We set where is a fixed point.

Journal of Inequalities and Applications

If, then has a fixed point in.

Advances in Difference Equations

Expert writing Tips

Best practice

In creative writing, "a fixed point" can be a powerful metaphor for something unchanging amidst chaos. Use it to symbolize stability, resolve, or even obsession within a character or situation.

Common error

Avoid using "a fixed point" to describe something that is only temporarily stable. This phrase implies a permanent, unchanging nature, so using it for something transient can mislead your audience.

Linguistic Context

The phrase "a fixed point" functions primarily as a noun phrase. Ludwig AI confirms its correct and usable presence in written English, particularly to denote a static point or location.

Expression frequency: Very common

Frequent in

Science

60%

News & Media

20%

Wiki

10%

Less common in

Formal & Business

5%

Encyclopedias

3%

Reference

2%

Ludwig's WRAP-UP

In summary, "a fixed point" is a grammatically sound noun phrase widely used across diverse fields. Ludwig AI shows it's frequently found in scientific, news, and wiki contexts, denoting something stable and unchanging. While appropriate for formal and informal communication, it's most common in neutral-to-formal settings. When using this phrase, ensure that the described element is truly immutable to avoid misinterpretations. Be mindful of context; while technically sound in all settings, its usage aligns more naturally with professional and technical discourse. Alternatives emphasizing stability or referencing include phrases like "an unchangeable aspect" or "a stable element".

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a point of invariance

Highlights mathematical concept

an unchangeable aspect

Focuses on the characteristic of being unchangeable instead of a specific point.

a constant reference

Emphasizes the role of reference rather than the static nature.

a stable element

Highlights stability as the key attribute, not necessarily a point.

an anchor

Suggests a source of stability and security; metaphorical shift from a literal point.

a foundation

Implies a base or starting point, slightly different from a point of reference.

a lynchpin

Conveys the idea of something essential that holds things together; more abstract than a specific point.

a bedrock principle

Focuses on a guiding belief or principle, not a physical point.

a non-negotiable item

Highlights the inflexibility, moving away from the spatial aspect.

a cornerstone

Implies foundational importance, not necessarily static or locational.

FAQs

How can "a fixed point" be used in a sentence?

The phrase "a fixed point" typically refers to something that remains constant or unchanging. For instance, "The North Star is a fixed point in the night sky, guiding travelers." or "In his chaotic life, his family was his "a fixed point".".

What's a good alternative to "a fixed point" that emphasizes stability?

If you want to emphasize stability, consider using phrases like "a stable element" or "an unchangeable aspect". These phrases highlight the constant nature of the subject.

In mathematics, what does "a fixed point" mean?

In mathematics, "a fixed point" refers to a value that does not change under a given transformation or function. It's a core concept in various mathematical fields and can have significant implications.

Is it correct to use "a fixed point" to describe an idea or concept?

Yes, "a fixed point" can be used metaphorically to describe an idea or concept that remains constant or serves as a foundation. For example, "Integrity was "a fixed point" in her decision-making process."