arbitrary depth

USAGE SUMMARY

The phrase "arbitrary depth" is correct and usable in written English.
It can be used in contexts where a specific depth is not defined or is chosen without a particular reason, often in technical or abstract discussions. Example: "The algorithm can process data at an arbitrary depth, allowing for flexible analysis of complex structures."

✓ Grammatically correct

Science

Academia

Human-verified examples from authoritative sources

Exact Expressions

17 human-written examples

Your code should also expand the game tree to an arbitrary depth.

University of California, Berkeley

Wave propagation over arbitrary depth and interaction with structures are of fundamental importance in coastal and ocean engineering.

Journal of Hydrodynamics, Ser. B

It also works for soil layers of arbitrary depth, uses minimal computing power and can calculate critical speeds associated with higher soil modes.

Transportation Geotechnics

An E horizon of an Ultisol or Spodosol does not change to a C horizon as the illuvial horizon dips below an arbitrary depth (2 m) and as the Order changes to Entisol.

Geoderma

A half-space of linear elastic transversely isotropic material containing a disc-shaped crack with a small initial crack opening between the crack faces at an arbitrary depth from the surface of the half-space is considered such that the crack surfaces are parallel to the free surface of the half-space and perpendicular to the axis of material symmetry.

International Journal of Mechanical Sciences

It was used for the analysis of free vibration of rectangular beams of arbitrary depth.

International Journal of Advanced Structural Engineering (IJASE)

Human-verified similar examples from authoritative sources

Similar Expressions

43 human-written examples

The mask is designed to have multiple focal planes at arbitrary depths for the seed patterns that form partial components of the three-dimensional structure.

Microelectronic Engineering

Linear potential theory in conjunction with the conformal mapping technique are employed to develop rigorous mathematical models for two-dimensional transient sloshing in non-deformable baffled horizontal circular cylindrical vessels, filled with inviscid incompressible fluids to arbitrary depths, and subjected to arbitrary time-dependent lateral accelerations.

Journal of Fluids and Structures

Rogue waves, alternatively called freak or giant waves, were first observed under circumstances of arbitrary depths of the ocean.

Advances in Difference Equations

The proposed method was applied to a four-fixed supported rectangular plate containing one or two damages with arbitrary length, depth and location.

Journal of Sound and Vibration

It is assumed that the crack having an arbitrary length, depth and location is parallel to one side of the plate.

Journal of Sound and Vibration

Expert writing Tips

Best practice

Consider the audience when using "arbitrary depth". In non-technical contexts, simpler terms like "variable depth" might be more appropriate.

Common error

Avoid using "arbitrary depth" when a specific depth is known or required. Using it in such cases can lead to confusion and misinterpretation.

Linguistic Context

The phrase "arbitrary depth" functions as a modifier + noun combination. The adjective "arbitrary" modifies the noun "depth", indicating that the depth is not fixed or predetermined. Ludwig AI confirms this usage through various examples.

Expression frequency: Common

Frequent in

Science

65%

Academia

20%

News & Media

5%

Less common in

Encyclopedias

3%

Formal & Business

2%

Social Media

0%

Ludwig's WRAP-UP

In summary, "arbitrary depth" is a grammatically correct and commonly used phrase that signifies a non-specific or variable depth. Ludwig AI analysis reveals its frequent use in scientific and academic contexts. When using "arbitrary depth", it's important to ensure that the lack of a specific depth is intentional and relevant to the context. While alternatives like "variable depth" exist, "arbitrary depth" offers a specific nuance that emphasizes the lack of constraint or predetermination. The phrase is best suited for formal and technical writing, where precision and clarity are paramount.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

unspecified depth

Emphasizes the lack of a defined or known depth.

variable depth

Highlights the ability to change or adjust the depth.

undefined depth

Similar to unspecified, but can also imply a lack of clarity or precision.

flexible depth

Focuses on the adaptability of the depth.

unfixed depth

Indicates that the depth is not permanently set.

random depth

Suggests that the depth is chosen without any specific pattern or reason.

discretionary depth

Implies that the depth is chosen at someone's discretion.

unconstrained depth

Highlights the absence of limitations on the depth.

free depth

Similar to unconstrained, suggesting freedom in choosing the depth.

user-defined depth

Focuses on the user's ability to set the depth.

FAQs

How to use "arbitrary depth" in a sentence?

You can use "arbitrary depth" to describe something that can have a range of depths without a specific limitation. For example, "The algorithm can process data at an "arbitrary depth", allowing for flexible analysis of complex structures."

What can I say instead of "arbitrary depth"?

You can use alternatives like "unspecified depth", "variable depth", or "undefined depth" depending on the context.

When is it appropriate to use "arbitrary depth"?

"Arbitrary depth" is appropriate when the exact depth is either irrelevant or can vary depending on the situation. It is often used in technical or abstract discussions where the concept of depth is more important than a specific measurement.

What's the difference between "arbitrary depth" and "random depth"?

While both phrases suggest a lack of a fixed depth, "arbitrary depth" implies a choice made without a specific reason, whereas "random depth" suggests a depth chosen by chance.