a continuous distribution of

USAGE SUMMARY

The phrase "a continuous distribution of" is correct and usable in written English.
It can be used in contexts related to statistics, probability, or data analysis when discussing the characteristics of a distribution that is continuous rather than discrete. Example: "In statistics, we often analyze a continuous distribution of data points to understand the underlying trends and patterns."

✓ Grammatically correct

Science

Academia

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

Alternatively, one could employ a discrete approximation to a continuous distribution of Arrow-Debreu prices21.

Stanford University

As noted above, the lunar regolith comprises rock fragments in a continuous distribution of particle sizes.

Encyclopedia Britannica

We present new photoionization calculations for a continuous distribution of clouds extending from the BLR to the NLR.

Harvard University

It should be noted that the data shown in Figure 1 do not assume a continuous distribution of hydrocarbon concentrations between the sampling points.

Nature

Furthermore it is shown that there is a continuous distribution of yield levels at both temperatures.

International Journal of Fatigue

It is coupled to the environment by a continuous distribution of compliant elements.

Journal of Sound and Vibration

The branching portion of the thermo-elastic crack is modelled as a continuous distribution of dislocations.

International Journal of Solids and Structures

Normally, an object will consist of a continuous distribution of intensity, and, instead of a simple sum, a convolution integral results.

Encyclopedia Britannica

Our results are in line with the hypothesis of a continuous distribution of synchrotron peak frequencies among BL Lac objects.

Advances in Space Research

The modelling considers the melting of an assembly of fractions having a continuous distribution of non-equilibrium melting points.

Polymer

A correction to the theoretical formula derived for a continuous distribution of vorticity due to the action of external forces is proposed.

Journal of Sound and Vibration

Expert writing Tips

Best practice

When describing data or physical phenomena, use "a continuous distribution of" to indicate that the values or elements are spread smoothly over a range without distinct breaks.

Common error

Avoid using "a continuous distribution of" when describing items that are distinct and separate. Ensure that the elements being described can take on any value within a given range, rather than being limited to specific, countable values.

Linguistic Context

The phrase "a continuous distribution of" functions as a noun phrase, often used as the object of a preposition or verb. It identifies the existence of a smooth, unbroken range of values or elements. Ludwig AI examples highlight its prevalence across diverse fields.

Expression frequency: Very common

Frequent in

Science

67%

Academia

17%

Encyclopedias

3%

Less common in

Formal & Business

0%

News & Media

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "a continuous distribution of" is a grammatically sound and frequently used expression, particularly within scientific and academic contexts. Ludwig AI confirms its common usage across numerous domains, especially in describing quantitative data or phenomena with smoothly varying values. When using this phrase, ensure that the elements being described can take on any value within a range, avoiding its application to discrete or distinctly separate entities. Alternative phrasing includes "a seamless distribution of" or "a gradual dispersal of", which can be employed to subtly alter the emphasis while retaining the core meaning.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

a seamless distribution of

Replaces "continuous" with "seamless", emphasizing the smooth and unbroken nature of the distribution.

a constant spread of

Uses "constant spread" to highlight the consistent dispersion of elements, focusing on the evenness of the distribution.

a gradual dispersal of

Emphasizes the gradual and incremental nature of the spreading process, which implies continuity.

a uniform arrangement of

Focuses on the even and consistent placement of elements, implying a continuous and balanced distribution.

a steady diffusion of

Highlights the continuous and progressive spreading of elements, suggesting a consistent and uninterrupted process.

an unbroken chain of

Uses "unbroken chain" to convey the idea of continuity in a sequence or series, implying a continuous arrangement.

a progressive series of

Emphasizes the sequential and incremental nature of the distribution, focusing on its continuous progression.

a linked sequence of

Highlights the interconnected and sequential nature of the elements, suggesting a continuous and unbroken series.

an uninterrupted flow of

Focuses on the continuous and unbroken movement or progression of elements, emphasizing the lack of gaps or interruptions.

a consistent stream of

Uses "consistent stream" to describe a continuous and steady flow of elements, highlighting the regularity and uninterrupted nature of the distribution.

FAQs

How can I use "a continuous distribution of" in a sentence?

You can use "a continuous distribution of" to describe data, physical quantities, or any phenomena that vary smoothly over a range. For example, "The study analyzed "a continuous distribution of" particle sizes in the sample".

What are some alternatives to "a continuous distribution of"?

Alternatives include "a seamless distribution of", "a gradual dispersal of", or "a uniform arrangement of", depending on the specific nuance you want to convey.

What is the difference between "a continuous distribution of" and "a discrete distribution of"?

"A continuous distribution of" implies that values can take on any value within a range, while "a discrete distribution of" refers to values that are distinct and countable. For example, height is continuous, while the number of students is discrete.

Is it correct to use "a continuous distribution of" for non-numerical concepts?

While typically used with numerical data, "a continuous distribution of" can also describe non-numerical concepts that vary smoothly. For example, "There is "a continuous distribution of" public opinion on the matter" suggests a range of views rather than distinct, separate opinions.