equal dispersion

USAGE SUMMARY

The phrase "equal dispersion" is correct and usable in written English.
It can be used in contexts related to statistics, physics, or any field where the distribution of items or values is being discussed. Example: "The experiment aimed to achieve equal dispersion of the particles in the solution to ensure consistent results."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

"Because human beings think of randomness as a sort of equal dispersion," he said.

The New York Times

Both supports yielded similar vanadia structures and equal dispersion.

Journal of Catalysis

One of the major challenges regarding controlled synthesis of SWCNTs is related to difficulties in obtaining small metal-catalyst particles, their equal dispersion on the substrate and prevention of aggregation.

Chemical and Biological Technologies in Agriculture

These findings revealed the high relatedness between imported and local DENV strains, which was further supported by their equal dispersion in the lineage of the ML tree and the observed short genetic distance.

BMC Infectious Diseases

We examined the distribution of the residuals of the model for equal dispersion around the line of best fit to assess the effect of the boundary values of 0 and 100 on the model.

EBioMedicine

Existing linkage maps for Atlantic salmon also highlight a marked difference between the sexes in the distribution of putative crossover events; equal dispersion is observed along chromosomes in females, in contrast to telomere-specific recombination in males with little or no recombination at centromeric regions [ 9- 11].

BMC Genomics

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

In the period between 1984 and 1987, Koenderink and Hummel showed how Gaussian filters removed noise that was equal to dispersion effects of the isotropic diffusion equation, so Gaussian filters are called Diffusion Filters.

EURASIP Journal on Advances in Signal Processing

ϕ equals the dispersion parameter of the negative binomial distribution: g 1 μ i = η 1 i = x ' i β 1 = β 01 + β 11 x i 1 + … + β k 1 x ik (2a).

Forest Ecosystems

The evolution of many protein sequences is overdispersed: The number of sequence changes occurring along a lineage is more variable than expected with a constant rate of independent substitutions, which predicts a Poisson distribution of the number of substitutions, and hence equality of the variance and the mean (index of dispersion equal to 1) (Ohta and Kimura 1971; Langley and Fitch 1974).

Genome Biology and Evolution

Overall apparent activation energy reaches a minimum at ruthenium dispersion equal 0.5.

Catalysis Today

As it is clearly seen from equation (3), if the rest mass of particles equals zero, their dispersion is described by twofold degenerate cone in energy-momentum space.

Nature

Expert writing Tips

Best practice

When using "equal dispersion", ensure the context clearly indicates what is being dispersed and the criteria for equality. For instance, specify if you are referring to particles in a solution, data points on a graph, or crossover events on chromosomes.

Common error

Be mindful that "equal dispersion" does not necessarily equate to randomness. While randomness can lead to "equal dispersion" in some contexts, other factors like systematic arrangement can also result in an even distribution. Clarity is key in specifying the underlying mechanism.

Linguistic Context

The phrase "equal dispersion" functions primarily as a descriptive term. It's used to characterize the state of a system or set of data where its constituent elements are spread uniformly. As Ludwig AI highlights, this usage is accurate and relevant in various contexts.

Expression frequency: Uncommon

Frequent in

Science

80%

News & Media

10%

Formal & Business

0%

Less common in

Academia

10%

Encyclopedias

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "equal dispersion" is a grammatically sound and relatively uncommon expression, mainly utilized in scientific and technical domains. Ludwig AI confirms its appropriateness for describing states of uniform distribution. While it doesn't always imply randomness, its use typically serves to clarify the spatial or statistical arrangement of elements, aiding in precise communication. When writing, ensure the context clarifies what is being dispersed, and avoid assuming it implies randomness, as other mechanisms may lead to equal distributions. Ludwig's examples demonstrate its use in various scientific contexts, proving its relevance and accuracy in specialized discussions.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Uniform distribution

This alternative emphasizes the consistent arrangement of elements across a space or dataset, focusing on the lack of irregularities.

Even spread

This option suggests a balanced distribution, highlighting the equitable allocation of items or quantities.

Homogeneous dispersion

This term stresses the uniform nature of the distribution, with all parts being of the same kind or nature.

Balanced distribution

This phrase focuses on the equilibrium achieved through the spread of elements, implying no area is overly concentrated.

Equitable distribution

This choice highlights the fairness and impartiality of the dispersion, suggesting a just allocation.

Consistent dispersal

This alternative underscores the regularity and predictability of the spreading pattern.

Regular arrangement

This phrase points to an ordered placement of items, emphasizing the methodical layout.

Symmetrical disposition

This option highlights the balanced arrangement around a central point or axis.

Proportional allocation

This term underscores the maintenance of consistent ratios or fractions throughout the distribution.

Constant spread

This phrase emphasizes the consistent rate or manner of spreading, without variation or interruption.

FAQs

How can I use "equal dispersion" in a sentence?

You can use "equal dispersion" to describe the distribution of elements, such as "The experiment aimed for "equal dispersion" of the particles in the solution" or "Achieving "equal dispersion" of resources is vital for project success".

What are some alternatives to using "equal dispersion"?

Depending on the context, you might use "uniform distribution", "even spread", or "homogeneous dispersion" as alternatives.

In what fields is the term "equal dispersion" commonly used?

"Equal dispersion" is commonly found in fields like statistics, materials science, ecology, and genetics to describe the spatial or numerical arrangement of elements.

Does "equal dispersion" always mean the distribution is random?

No, "equal dispersion" does not necessarily mean the distribution is random. It simply means the elements are spread evenly. A systematic arrangement can also exhibit "equal dispersion" without being random.