arbitrary magnitude

USAGE SUMMARY

The phrase "arbitrary magnitude" is correct and usable in written English.
It can be used in contexts where you want to describe a size or amount that is chosen without any specific reason or standard. Example: "In this experiment, we will apply an arbitrary magnitude of force to observe the effects on the material."

✓ Grammatically correct

Science

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

In 1693 John Wallis, Savilian Professor of Geometry at Oxford, attempted a different demonstration, proving that the axiom follows from the assumption that to every figure there exists a similar figure of arbitrary magnitude.

Britannica

A unified framework for the optimal design of finite impulse response (FIR) filters with arbitrary magnitude and phase response using second-order cone (SOC) programming is proposed.

Digital Signal Processing

It is proposed that these correlations be used for quick estimate of the seismic response of a vessel of arbitrary size, material and contained (heavy) fluid, subject to an earthquake of arbitrary magnitude.

Nuclear Engineering and Design

Applying the method of separation of variables and the modal expansion method, exact analytical solutions for damped free and forced responses of the system subjected to arbitrarily distributed transverse continuous loads are determined in the case of arbitrary magnitude of linear viscous damping.

Journal of Sound and Vibration

where e0 ∈ R m is a sparse vector of errors with an arbitrary magnitude.

EURASIP Journal on Wireless Communications and Networking

For recursive filters, nonsymmetric half-plane versions (also known as semicausal) are more general than quarter-plane versions (also known as causal) in approximating arbitrary magnitude characteristics.

EURASIP Journal on Advances in Signal Processing

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

It established an exact relationship between rational magnitudes and arbitrary magnitudes by defining two magnitudes to be equal if the rational magnitudes less than them were the same.

Britannica

In modern terms, Eudoxus' theory defined arbitrary magnitudes as limits of rational magnitudes, and basic theorems about the sum, difference, and product of magnitudes were equivalent to theorems about the sum, difference, and product of limits.

Britannica

In this paper, we propose a new stabilized linear finite element method for solving reaction convection diffusion equations with arbitrary magnitudes of reaction and diffusion.

Computer Methods in Applied Mechanics and Engineering

For chemical gradients of arbitrary magnitudes with temporal and spatial variations, our solutions were also found efficient and robust in comparison to numerical solutions.

Chemical Engineering Science

The free and forced vibration analyses of a uniform cantilever beam carrying a number of spring damper mass systems with arbitrary magnitudes and locations were made by means of the analytical-and-numerical-combined method (ANCM).

Journal of Sound and Vibration

Expert writing Tips

Best practice

When using "arbitrary magnitude", ensure the context clearly indicates that the magnitude is chosen without any specific predetermination or constraint. This is especially important in technical or scientific writing where precision is valued.

Common error

Avoid using "arbitrary magnitude" and "random magnitude" interchangeably. "Arbitrary" implies a choice made without a specific reason but still potentially controlled, whereas "random" implies a lack of control or predictability.

Linguistic Context

The phrase "arbitrary magnitude" functions as a noun phrase where the adjective "arbitrary" modifies the noun "magnitude". It specifies that the size or amount being referred to is chosen without any particular rule or pattern.

Expression frequency: Uncommon

Frequent in

Science

70%

Encyclopedias

20%

Academia

10%

Less common in

News & Media

0%

Formal & Business

0%

Wiki

0%

Ludwig's WRAP-UP

The phrase "arbitrary magnitude" describes a size or amount chosen without a predetermined rule or pattern. As Ludwig AI clarifies, it's grammatically correct and primarily used in formal, technical contexts like science and mathematics. While alternatives such as "random magnitude" or "unspecified magnitude" exist, "arbitrary magnitude" emphasizes a choice made without a specific reason but within some potential control. Understanding this nuance is crucial for precise communication in specialized fields. Its frequency is uncommon, and the phrase is more appropriate for formal and scientific contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

random magnitude

Replaces "arbitrary" with "random", suggesting a lack of pattern or predictability in the magnitude.

unspecified magnitude

Substitutes "arbitrary" with "unspecified", emphasizing that the magnitude has not been defined or indicated.

undefined magnitude

Similar to "unspecified magnitude", but highlights the lack of a clear or established value.

variable magnitude

Focuses on the characteristic of the magnitude being subject to change or fluctuation.

any magnitude

Emphasizes the inclusivity of all possible magnitudes without restriction.

flexible magnitude

Highlights the adaptability or modifiability of the magnitude.

unconstrained magnitude

Indicates that the magnitude is not subject to any limitations or restrictions.

free magnitude

Suggests that the magnitude is at liberty to assume any value.

non-fixed magnitude

Directly states that the magnitude is not established or permanent.

unregulated magnitude

Focuses on the absence of rules or controls governing the magnitude.

FAQs

How can I use "arbitrary magnitude" in a sentence?

You can use "arbitrary magnitude" to describe a quantity or size that is not fixed or predetermined. For example: "The experiment tested the material's resilience under stress of "arbitrary magnitude"."

What's a good alternative to "arbitrary magnitude"?

Depending on the context, you could use alternatives like "random magnitude", "unspecified magnitude", or "variable magnitude".

Is "arbitrary magnitude" formal or informal language?

"Arbitrary magnitude" leans towards formal and technical usage. It's commonly found in scientific papers and mathematical contexts, so it might not be appropriate for informal conversations.

What does "arbitrary magnitude" mean?

It signifies a size or amount that is selected without a specific reason or predetermined value. The value can be any quantity within a defined or undefined range.