continuous dimensions

USAGE SUMMARY

The phrase "continuous dimensions" is correct and usable in written English.
It can be used in contexts related to mathematics, physics, or any field that discusses variables or measurements that can take on an infinite number of values within a range. Example: "In the study of geometry, we often explore continuous dimensions to understand shapes and their properties more thoroughly."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

14 human-written examples

In this paper, we extend Bianchi and Egnell's Stability Estimate to a Sobolev Inequality for "continuous dimensions".

Journal of Functional Analysis

Bakry, Gentil, and Ledoux have recently proved a sharp extension of the Sobolev Inequality for functions on R+×Rn, which can be considered as an extension to "continuous dimensions".

Journal of Functional Analysis

These three components vary along continuous dimensions which together define the degree of embodiment.

Cognitive Research: Principles and Implications

Concretely, the first framework combines two continuous dimensions: social regulation of learning and content processing.

Empirical Research in Vocational Education and Training

ASWAT, a variant of SWAT with continuous dimensions and equal weights, was used [15].

European Transport Research Review

Maximizing this likelihood function produces simultaneous estimates of the parameters of both the discrete and continuous dimensions (α, β, ρ, and σ ε ).

Journal of Modern Transportation

Human-verified similar examples from authoritative sources

Similar Expressions

45 human-written examples

The comparison may be an analog process in which signals in a continuous dimension are brought to equality.

Britannica

Further, adults with lower mathematical ability were more affected by the interference of the continuous dimension in the numerical comparison task, whereas conversely higher-expertise adults showed stronger interference of the numerical dimension in the continuous comparison task.

Acta Psychologica

The condition is described through three properties that explain the continuous dimension: Acculturated Parents, Less Acculturated Parents, White Parent or Parents.

Johns Hopkins University

Regarding the continuous dimension n, a more general dimensional volume hypersphere flux follows on the base of Ramanujan-Hardy's integral [26].

Advances in Difference Equations

A Type II Tobit discrete continuous specification [11] was employed in the subsequent quantitative analysis, with the discrete dimension specified to be whether or not a person had relocated to the HBLR corridor within the prior 5 years and the continuous dimension (conditional on a respondent having relocated) the street-network distance of their new residence to the nearest LRT station.

Journal of Modern Transportation

Expert writing Tips

Best practice

When discussing variables that can take on any value within a range, use "continuous dimensions" to emphasize this characteristic. For example, in data analysis or physics, this term highlights the infinite possibilities between set points.

Common error

Avoid using "continuous dimensions" when referring to categories or distinct groups. Discrete dimensions have clear boundaries, unlike continuous ones, which flow seamlessly.

Linguistic Context

The phrase "continuous dimensions" functions primarily as a noun phrase, often serving as the object of a verb or preposition. It describes measurable characteristics that are not limited to specific values but can exist along a spectrum, as demonstrated by examples on Ludwig.

Expression frequency: Uncommon

Frequent in

Science

90%

Academia

7%

Encyclopedias

3%

Less common in

Formal & Business

0%

News & Media

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, "continuous dimensions" is a noun phrase used to describe measurable attributes that can assume any value within a range. As Ludwig AI confirms, this phrase is grammatically sound and most frequently appears in scientific and academic contexts. When writing, it's important to use "continuous dimensions" to denote attributes that are not discrete but exist on a flowing scale. For semantically similar alternatives, consider "uninterrupted dimensions" or "seamless dimensions" depending on your specific emphasis.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

uninterrupted dimensions

Focuses on the unbroken, seamless nature of the dimensions.

seamless dimensions

Highlights the smooth transition and lack of discrete breaks in the dimensions.

unbroken dimensions

Emphasizes the continuity without any interruptions or gaps.

non-discrete dimensions

Specifies that the dimensions are not separated into distinct categories.

scalable dimensions

Implies that the dimensions can be adjusted or measured across a range of values.

infinite dimensions

Highlights the unbounded or limitless nature of the dimensional scale.

variable dimensions

Indicates that the dimensions are subject to change or fluctuation.

analogue dimensions

Positions the dimensions in contrast with discrete or digital representations.

gradient dimensions

Stresses the incremental change and gradual progression across the dimensions.

flowing dimensions

Suggests a fluid and uninterrupted progression along the scale of the dimensions.

FAQs

How can I use "continuous dimensions" in a sentence?

You might say, "The study analyzed the data along several "continuous dimensions", such as temperature and pressure".

What does "continuous dimensions" mean?

It refers to dimensions or scales of measurement where values can fall anywhere within a given range, not just at specific, discrete points.

Are there alternatives to "continuous dimensions"?

Yes, depending on the context, you could use phrases like "uninterrupted dimensions" or "seamless dimensions".

How do "continuous dimensions" differ from discrete ones?

While "continuous dimensions" allow for infinite values between points, discrete dimensions have distinct, separate values, like categories or counts.