define with respect to

USAGE SUMMARY

The phrase "define with respect to" is correct and usable in written English.
It is typically used in academic or technical contexts to specify the parameters or criteria for a definition. Example: "In this study, we will define the term 'success' with respect to both quantitative and qualitative measures."

✓ Grammatically correct

Science

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

2 human-written examples

Our existence and uniqueness proofs rest upon the construction and the convergence of a suitable sequence of Faedo Galerkin approximations, while our proof of indistinguishability is based on certain density arguments as well as on new continuity properties of the stochastic integral we define with respect to HW.

Journal of Functional Analysis

It is ill-advised to planner's role to be that of a facilitator in a process: while this which may turn out to be meaningful on the scale of some territorial micro-practices (Susskind and Cruikshank 1987; Forester 1989, 2009), it is less suitable, or more difficult to define with respect to large transformation processes.

City, Territory and Architecture

Human-verified similar examples from authoritative sources

Similar Expressions

58 human-written examples

Celestial longitude and latitude are defined with respect to the ecliptic and ecliptic poles.

Encyclopedia Britannica

Knowledge is defined with respect to the agents' local state.

SEP

Notably, the coherence is defined with respect to the magnitude.

EURASIP Journal on Advances in Signal Processing

The original LBP operator in another article is defined with respect to the surrounding pixel values while the GRAB operator is defined with respect to overlapping surrounding regions.

EURASIP Journal on Image and Video Processing

More so, there is no standard JPD pulse feature defined with respect to pulse signals.

Journal of Biomedical Informatics

Responsible bioengineering and sound bioscience are defined with respect to these dimensions.

Environmental Biotechnology A Biosystems Approach

The absorption regions were defined with respect to the system parameters for the passive vibration absorber.

Journal of Sound and Vibration

Note that all parameters with a preceding are defined with respect to.

EURASIP Journal on Embedded Systems

'context' needs to be defined with respect to evaluative resources within academic texts.

Functional Linguistics

Expert writing Tips

Best practice

When using "define with respect to", clearly state the specific parameter or criterion that the definition depends on to avoid ambiguity.

Common error

Avoid vague statements. Always specify what the definition is relative to. For example, instead of saying "The value is defined", specify "The value is "defined with respect to" the initial conditions."

Linguistic Context

The phrase "define with respect to" functions as a prepositional phrase that introduces a specific parameter or condition that a definition relies upon. As Ludwig AI suggests, the phrase is correct and usable in written English.

Expression frequency: Rare

Frequent in

Science

66%

Encyclopedias

33%

Formal & Business

0%

Less common in

News & Media

0%

Social Media

0%

Wiki

0%

Ludwig's WRAP-UP

In summary, the phrase "define with respect to" is a prepositional phrase used to specify the reference point or criterion for a definition. Ludwig AI confirms its grammatical correctness. It is most common in formal and scientific contexts where precision is essential. When using this phrase, ensure that the reference point is clearly stated to avoid ambiguity. Alternatives include "define in terms of" and "define relative to". While grammatical, based on the number of examples found, the phrase is rare.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

define in terms of

Uses "terms of" to indicate the basis of definition.

define relative to

Specifies that the definition depends on a relationship.

define in relation to

Similar to 'relative to', highlighting a connection.

define considering

Indicates that the definition takes something into account.

establish with reference to

More formal; indicates establishing something using a reference point.

determine by means of

Emphasizes the method used for determining the definition.

specify according to

Focuses on adherence to a specific set of rules or guidelines.

ascertain based on

Highlights that the definition is based on certain factors.

characterize with regard to

Focuses on the characteristics considered in the definition.

delineate with attention to

Suggests a careful and detailed definition, paying attention to specific details.

FAQs

How can I use "define with respect to" in a sentence?

The phrase "define with respect to" is used to specify the basis or reference point for a definition. For example, "The algorithm's efficiency is "defined with respect to" the size of the input data."

What does "define with respect to" mean?

It means to define something in relation to a specific parameter, standard, or point of reference. It clarifies the context in which the definition is valid.

What are some alternatives to "define with respect to"?

You can use alternatives such as "define in terms of", "define relative to", or "define in relation to" depending on the specific nuance you want to convey.

Is it better to use "define with respect to" or "define in terms of"?

Both phrases are correct, but "define with respect to" often implies a more direct relationship to a specific parameter, while "define in terms of" might refer to a broader conceptual framework.