a higher dimension

USAGE SUMMARY

"a higher dimension" is correct and can be used in written English.
It is generally used to refer to an intangible concept or abstract idea. For example, "Oscar explored a higher dimension of creativity as he worked on his latest painting."

✓ Grammatically correct

Science

News & Media

Academia

Human-verified examples from authoritative sources

Exact Expressions

45 human-written examples

This required going into a space of a higher dimension.

The New Yorker

I'm growing.' " His next experience was blissful: "I got transported to a higher dimension, where I lived the whole ceremony as my higher self.

The New Yorker

The SVM model transforms the features into a higher dimension by using kernel functions to find an optimal separating hyperplane between two classes.

Nature

The level set function is parametrized using the Non-Uniform Rational B-Spline (NURBS) basis functions in a higher dimension.

Computer Methods in Applied Mechanics and Engineering

The next year, two more theorists, Dr. Lisa Randall and Dr. Raman Sundrum, both in their mid-30's, devised another theory in which the universe is surrounded by a higher dimension, this one infinite in size.

The New York Times - Science

We also have a numerical example for d= 8 to test the efficiency of the propose algorithm for functions of a higher dimension.

Journal of Complexity

Human-verified similar examples from authoritative sources

Similar Expressions

15 human-written examples

Microarray data has a high dimension of variables but available datasets usually have only a small number of samples, thereby making the study of such datasets interesting and challenging.

Harvard University

Even at a high dimension d=16, HSH still cannot produce an acceptable result.

EURASIP Journal on Image and Video Processing

Matrix factorisation (MF) techniques are based on approximating a high dimension matrix A (original data) by a product of two or more lower dimension matrices.

EURASIP Journal on Image and Video Processing

It suggests that the joint search in a high dimension is converted into a bunch of parallel, independent searches in low dimensions.

EURASIP Journal on Wireless Communications and Networking

The analysis of a high dimension dataset is primarily based on comparison of variables or observations, using a variety of similarity measures.

Journal of Big Data

Expert writing Tips

Best practice

When using "a higher dimension", ensure the context clearly indicates whether you're referring to a literal spatial dimension (in scientific contexts) or an abstract concept (in philosophical or spiritual contexts).

Common error

Avoid using "a higher dimension" vaguely. Always provide sufficient context to clarify whether you are discussing mathematical, scientific, or metaphorical dimensions to prevent confusion.

Linguistic Context

The phrase "a higher dimension" functions primarily as a noun phrase, often acting as a subject or object in a sentence. Ludwig shows it's used across scientific and philosophical contexts.

Expression frequency: Common

Frequent in

Science

60%

News & Media

15%

Academia

10%

Less common in

Encyclopedias

5%

Wiki

5%

Formal & Business

0%

Ludwig's WRAP-UP

In summary, "a higher dimension" is a grammatically sound phrase commonly used to denote a concept exceeding ordinary perception, with applications ranging from scientific fields to philosophical discussions. As Ludwig AI explains, the phrase is correct and is used to refer to an intangible concept or abstract idea. Predominantly found in scientific contexts, it also surfaces in news and media, and academic discourse. When employing this phrase, it is crucial to provide sufficient context to clarify the intended meaning, whether it is a literal spatial dimension or a more abstract, metaphorical concept. Related phrases offer alternatives to express similar ideas while differing slightly in connotation.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a deeper level

Uses "level" to represent a more profound layer of something.

an advanced realm

Replaces "dimension" with "realm" denoting a place or scope.

a greater plane of existence

Specifies "plane of existence" to refer to a different level of being.

an enhanced reality

Substitutes "dimension" with "reality", meaning an improved state of existence.

an elevated plane

Uses "plane" instead of "dimension" suggesting a flat, elevated space.

an expanded perspective

Shifts focus to "perspective", implying a broader viewpoint.

a superior sphere

Employs "sphere" suggesting a rounded, elevated area or level.

a more profound understanding

Focuses on "understanding", indicating deeper insight.

a transcendental state

Uses "state" to suggest a spiritual or mental condition of being beyond normal experiences.

an increased capacity

Changes the concept to "capacity" indicating a larger extent or ability.

FAQs

How can "a higher dimension" be used in a sentence?

You can use "a higher dimension" to refer to a spatial dimension in scientific contexts, or metaphorically to describe an elevated state of understanding, such as, "The artist sought to capture "a higher dimension" of reality in their work".

What's a suitable alternative to "a higher dimension"?

Depending on the context, you might use alternatives such as "a deeper level", "an advanced realm", or "an elevated plane".

In what fields is the term "a higher dimension" commonly used?

The term "a higher dimension" is frequently used in fields like physics, mathematics, and computer science when discussing spatial dimensions. It also appears in philosophical and spiritual contexts to describe more abstract concepts.

Is "a higher dimension" grammatically correct?

Yes, "a higher dimension" is grammatically correct. It follows standard English grammar rules, where "higher" is a comparative adjective describing the noun "dimension".