arbitrarily distributed

USAGE SUMMARY

The phrase "arbitrarily distributed" is correct and usable in written English.
It can be used in contexts where you want to describe something that is spread out or allocated without a specific pattern or reason. Example: "In the experiment, the resources were arbitrarily distributed among the participants to ensure fairness."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

The MSs are arbitrarily distributed following a uniform distribution.

EURASIP Journal on Wireless Communications and Networking

In contrast to previous studies, which mainly focused on the random variables with uniform or Gaussian distributions, this paper applies the ℓ1-minimization technique to arbitrarily distributed random variables.

Computers & Fluids

Since the reaction volume is now bound to the molecules and not arbitrarily distributed in the cell, the approach is not limited to uniform particle distributions.

BMC Systems Biology

It is demonstrated that the ℓ1-minimization method can be successfully applied to arbitrarily distributed uncertainties.

Computers & Fluids

The radiative fluxes from arbitrarily distributed point emitters were expressed by one generalized quadruple-integral formula.

Journal of Quantitative Spectroscopy and Radiative Transfer

An arbitrarily distributed time-varying in-plane force is considered as the excitation.

Journal of Sound and Vibration

The equations of motion of a flexible structure with a set of arbitrarily distributed CMGs are developed.

Acta Astronautica

The service times of the batches are arbitrarily distributed and depends on the size of the batches undergoing service.

Performance Evaluation

Therefore, in this paper, we try to describe aforementioned problems with arbitrarily distributed data-based recommender systems.

Expert Systems with Applications

This approach can be applied to study arbitrarily distributed elastic point supported rectangular plates having any prescribed classical boundary conditions.

Journal of Sound and Vibration

The classical modal expansion method is applied to ascertain dynamic responses of beams due to arbitrarily distributed continuous loads.

Journal of Sound and Vibration

Expert writing Tips

Best practice

When using "arbitrarily distributed", ensure the context clearly conveys the lack of a specific, intended pattern. Consider whether a more specific term like "randomly distributed" or "unevenly distributed" might be more appropriate for your meaning.

Common error

Don't assume that "arbitrarily distributed" automatically means the same as "randomly distributed". "Arbitrarily" simply means without a specific reason or pattern, while "randomly" implies a specific statistical process. Choose the term that best reflects the process you're describing.

Linguistic Context

The phrase "arbitrarily distributed" functions as an adjective phrase modifying a noun. It indicates that something is spread or allocated without a specific, predetermined pattern or intention. Ludwig provides numerous examples where it describes the distribution of data, resources, or physical elements.

Expression frequency: Very common

Frequent in

Science

80%

News & Media

10%

Formal & Business

5%

Less common in

Encyclopedias

1%

Wiki

1%

Reference

1%

Ludwig's WRAP-UP

In summary, "arbitrarily distributed" is a phrase used to describe something that is spread or allocated without a specific pattern or reason. Ludwig confirms its correctness and usability in various contexts, especially within scientific and technical fields. While "randomly distributed" can sometimes be a substitute, it's important to consider the specific meaning you intend to convey. As Ludwig AI highlights, the phrase is most commonly found in scientific literature, indicating its formal and technical nature.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

randomly distributed

Focuses on the lack of pattern and unpredictability in the distribution.

unevenly distributed

Highlights the imbalance or disparity in the allocation.

irregularly distributed

Emphasizes the lack of a consistent or uniform distribution pattern.

haphazardly spread

Implies a lack of planning or organization in the way something is distributed.

non-uniformly allocated

More formal and technical alternative, indicating a distribution that is not consistent across an area or population.

erratically scattered

Suggests a distribution that is unpredictable and inconsistent.

unequally dispersed

Highlights the imbalance in how something is spread out.

disproportionately allocated

Emphasizes an unfair or imbalanced allocation of resources or items.

sporadically spread

Implies that the distribution is infrequent and scattered.

unevenly dispersed

Focuses on the lack of uniformity in how something is spread out.

FAQs

How can I use "arbitrarily distributed" in a sentence?

You can use "arbitrarily distributed" to describe data, resources, or objects that are spread or allocated without a specific pattern or intention. For example: "The initial state x 0 is arbitrarily distributed with bounded variance."

What is a good alternative to "arbitrarily distributed"?

Depending on the context, you could use alternatives like "randomly distributed", "unevenly distributed", or "haphazardly spread".

Is it correct to say "randomly distributed" instead of "arbitrarily distributed"?

While "randomly distributed" and "arbitrarily distributed" can sometimes be interchangeable, "randomly distributed" implies a specific statistical distribution, while "arbitrarily distributed" simply means without a specific pattern or reason. The better choice depends on the intended meaning.

In what context is "arbitrarily distributed" most appropriate?

The phrase "arbitrarily distributed" is best used in technical or scientific contexts where you want to emphasize the absence of a deliberate or predictable distribution pattern. It is often seen in fields like physics, engineering, and statistics.