as generalization of

USAGE SUMMARY

The phrase "as generalization of" is not correct in standard written English.
It may be intended to convey a concept but lacks clarity and proper grammatical structure. Example: "The theory serves as a generalization of various phenomena observed in nature."

⚠ May contain grammatical issues

Science

Human-verified examples from authoritative sources

Exact Expressions

22 human-written examples

In this paper, we prove the following more general result which is an extension as well as generalization of Theorem 1 and yields a number of known polynomial inequalities.

Journal of Inequalities and Applications

As generalization of sinusoidal function, an IMF is required to satisfy the following generalized properties.

EURASIP Journal on Audio, Speech, and Music Processing

In 2005, Mustafa and Sims introduced a new class of generalized metric spaces (see [1, 2]), which are called G-metric spaces, as generalization of a metric space ( X, d ).

Fixed Point Theory and Applications

We introduce EMD as generalization of the Fourier analysis.

EURASIP Journal on Audio, Speech, and Music Processing

The construction can be seen as generalization of the Rothaus construction for Boolean bent functions.

Journal of Combinatorial Theory, Series A

Many authors have proved numerous fixed point theorems as generalization of Nadler's theorem (see [9 12]).

Journal of Inequalities and Applications

Human-verified similar examples from authoritative sources

Similar Expressions

38 human-written examples

Clearly, one can think of the risk measures as generalizations of V@R.

Probability, Uncertainty and Quantitative Risk

Kautz filters can be seen as generalizations of FIR filters and their frequency-warped counterparts.

EURASIP Journal on Advances in Signal Processing

Our results can be viewed as generalizations of Kantorovich and Grüss inequalities.

Journal of Inequalities and Applications

Σ1-) formula of L. Thus the notions of Δ0- and Σ1-set may be regarded as generalizations of the notions of recursive and recursively enumerable set, respectively.

SEP

Signal expansions using frames may be considered as generalizations of signal representations based on transforms and filter banks.

Signal Processing

Expert writing Tips

Best practice

When writing formally, replace the phrase "as generalization of" with grammatically correct alternatives such as "as a generalization of" or "as generalizing".

Common error

A common error is omitting the article 'a' before 'generalization'. Always include 'a' for correct grammar, as in "as a generalization of".

Linguistic Context

The phrase "as generalization of" functions as a prepositional phrase attempting to describe a relationship of extension or broadening. However, Ludwig AI indicates that it is not considered grammatically correct in standard written English due to the missing article 'a'.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

In summary, while the phrase "as generalization of" appears with some frequency, particularly in scientific contexts, Ludwig AI flags it as grammatically incorrect due to the omission of the article 'a'. For clarity and adherence to standard English, it's best to opt for alternatives such as "as a generalization of", "as generalizing", or other semantically similar phrases. This ensures both accuracy and professionalism in writing. Although common in some circles it is still a grammatical issue that writers need to be aware of.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

as a broader version of

Emphasizes the expansion to encompass more cases or aspects.

as an expanded form of

Suggests a more detailed or elaborate version.

as an extension of

Highlights the continuation or prolongation of an existing concept.

as a generalization from

Focuses on deriving a general principle from specific instances.

as a more general case of

States that it includes the original concept as a specific instance.

as a superset of

Indicates a set that contains another set.

as an umbrella term for

Implies that the term covers a range of more specific concepts.

as encompassing

Highlights the all-inclusive nature of the extension.

as a unified approach to

Suggests bringing together different elements under a common framework.

generalizing

Action of making something more widespread or universal.

FAQs

What is a more grammatically sound alternative to "as generalization of"?

You can use phrases like "as a generalization of", "as generalizing", or "as a broader concept of" for better clarity and grammatical correctness.

How do I use "as a generalization of" in a sentence?

Use "as a generalization of" to indicate that something extends or broadens a concept. For example, "This theory serves as a generalization of several phenomena observed in nature."

What's the difference between "as generalization of" and "as a generalization of"?

The phrase "as a generalization of" is grammatically correct, while "as generalization of" omits the article "a", making it grammatically incorrect in most contexts.

When is it appropriate to use "as generalization of"?

While "as generalization of" appears in some technical literature, it is generally better to use a grammatically correct alternative like "as a generalization of" for improved clarity and adherence to standard English.