a generalized form

USAGE SUMMARY

The phrase "a generalized form" is correct and usable in written English.
It can be used when referring to a broad or abstract version of something that encompasses various specific instances or examples. Example: "In mathematics, a generalized form of the equation can help simplify complex problems."

✓ Grammatically correct

Science

Academia

Encyclopedias

Human-verified examples from authoritative sources

Exact Expressions

60 human-written examples

As it happened, Einstein would adopt a generalized form of Riemannian geometry in his general theory of relativity.

SEP

A generalized form of the lognormal distribution is presented and analyzed from a Bayesian viewpoint.

Computational Statistics & Data Analysis

The design parameters calculation results are shown in a generalized form.

Procedia Engineering

The results were correlated with a generalized form of the Speedy Angel (1976) relationship.

The Journal of Chemical Thermodynamics

In RDF, objects are identified using the Uniform Resource Identifiers (URIs), a generalized form of Uniform Resource Locators (URLs).

Stanford University

It reflects, in a generalized form, the intuitive connections between some and every that were noted above.

Encyclopedia Britannica

In this study, we employed a generalized form of context-dependent PPIs (gPPIs) that has the flexibility to accommodate more than two conditions in the same PPI model40.

Nature

McLaren, D. G., Ries, M. L., Xu, G. & Johnson, S. C. A generalized form of context-dependent psychophysiological interactions (gPPI): a comparison to standard approaches.

Nature

The technique proposed here is illustrated for a generalized form of the cubic EOS.

Chemical Engineering Science

A generalized form of the random walk algorithm to simulate diffusion processes is introduced.

Journal of Computational Physics

The sediment transport formulas used by these models are a generalized form of several physically based bed-load transport formulas.

Global and Planetary Change

Expert writing Tips

Best practice

When using "a generalized form", ensure the context clearly indicates what the original or specific form is to avoid ambiguity.

Common error

Avoid using "a generalized form" when a specific and precise term is more appropriate; overgeneralization can lead to misunderstandings.

Linguistic Context

The phrase "a generalized form" functions as a noun phrase, often serving as a subject complement or object of a preposition. It indicates that something is a broader or more abstract version of something else, as supported by Ludwig's analysis.

Expression frequency: Very common

Frequent in

Science

50%

Academia

25%

Encyclopedias

10%

Less common in

News & Media

5%

Formal & Business

5%

Reference

5%

Ludwig's WRAP-UP

In summary, "a generalized form" is a phrase used to describe a broader or more abstract version of a concept. It is grammatically correct and frequently used in formal and scientific contexts, as validated by Ludwig. When employing this phrase, ensure that the original form is clearly defined to prevent ambiguity. Common alternatives include "a broader version" and "a more abstract representation". Ludwig's analysis confirms its utility in discussing theories, models, and equations across various disciplines.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

A broader version

Focuses on the extent or scope of the concept, emphasizing inclusivity.

A more abstract representation

Highlights the conceptual and non-specific nature of the form.

A comprehensive formulation

Emphasizes the completeness and thoroughness of the expression.

A unified approach

Stresses the integration and consolidation of different elements.

A standardized model

Highlights the conformity and regularity of the pattern.

An expanded version

Focuses on the enlargement and augmentation of the original form.

A versatile adaptation

Stresses the adaptability and flexibility of the modified form.

A universal application

Highlights the widespread and unrestricted use of the form.

A holistic integration

Emphasizes the interconnectedness and completeness of the combined form.

An overarching framework

Highlights the encompassing and comprehensive nature of the structure.

FAQs

How can I use "a generalized form" in a sentence?

You can use "a generalized form" to refer to a broader or more abstract version of a concept, such as "This theorem is presented in "a generalized form" to apply to various cases."

What's the difference between "a generalized form" and "a specific form"?

"A generalized form" refers to a broader, more abstract version applicable to multiple scenarios, while "a specific form" is a particular instance or example with defined parameters.

What can I say instead of "a generalized form"?

You can use alternatives like "a broader version", "a more abstract representation", or "a comprehensive formulation" depending on the context.

When is it appropriate to use "a generalized form" in academic writing?

It is appropriate when you are discussing a concept or model that has been extended or adapted to apply to a wider range of situations than the original version. It indicates an abstraction or expansion of a previous idea.