based on these definitions

USAGE SUMMARY

The phrase "based on these definitions" is correct and usable in written English.
You can use it when you want to indicate that your conclusions or statements are derived from specific definitions previously mentioned. Example: "Based on these definitions, we can conclude that the term 'sustainability' encompasses both environmental and social dimensions."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

33 human-written examples

Based on these definitions, direct computation of fuzzy inverse matrix is done using fuzzy arithmetic and fuzzy equation system.

Applied Soft Computing

Based on these definitions, we present a classification of a very general class of deterministic, continuous-time and discrete-time metapopulation models.

Theoretical Population Biology

Based on these definitions, we formalize the three heuristics proposed by Stone et al. into rules to identify functional modules in function structures: (1) sequential flow rule, (2) parallel flow rule and (3) flow transformation rule.

Computers in Industry

Based on these definitions, Algorithm 1 presents D-MIAT.

EURASIP Journal on Advances in Signal Processing

Based on these definitions, the evolution of DCTS algorithm in (5) can be written as (8).

EURASIP Journal on Wireless Communications and Networking

We have compared the existing trust models based on these definitions.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

27 human-written examples

Based on these semantic definitions, not only the explicitly asserted knowledge in ontologies but also the implied knowledge, which is derived through inference, is considered for the sake of ontology assessment.

Information Systems

Based on these two definitions, we will apply Pontryagin's Maximum Principle [20, 27 29] to determine the optimal control's functional form and study its properties.

Computational Social Networks

Based on these preliminary definitions, we say F is an anti-nabla difference of f on N a if and only if ∇ F ( t ) = f ( t ) for t ∈ N a + 1.

Journal of Inequalities and Applications

Prevalences based on these 3 definitions are presented in Table  5.

BMC Public Health

19 Though overlap exists between these models, 20 to date, published scores based on these operational definitions demonstrate only poor to moderate predictive powers for adverse outcomes within the acute medical care setting.

BMJ Open

Expert writing Tips

Best practice

When using "based on these definitions", ensure the definitions are clearly stated beforehand to avoid ambiguity. This helps the reader understand the logical basis of your argument or analysis.

Common error

Avoid using "based on these definitions" without actually providing or referencing the definitions. Readers shouldn't have to guess what definitions you're relying on.

Linguistic Context

The phrase "based on these definitions" functions as an adverbial phrase modifying a verb or clause. It introduces the basis or foundation for a subsequent statement or argument, indicating that the conclusion is logically derived from the stated definitions. Ludwig AI states that this is grammatically correct.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "based on these definitions" is a grammatically sound and useful tool for establishing a clear logical connection between defined terms and subsequent statements, according to Ludwig AI. While not exceedingly common, it finds frequent use in scientific and academic writing to ensure precision. To maximize its impact, always provide clear definitions and avoid assuming prior knowledge. Consider alternatives such as "according to these definitions" or "in light of these definitions" for stylistic variation. Remember that the phrase serves to justify your reasoning and bolster credibility.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

according to these definitions

Changes the preposition used, offering a slightly more direct alternative.

in light of these definitions

Emphasizes using the definitions to understand or clarify something.

given these definitions

Implies that the definitions are a known condition or premise.

considering these definitions

Highlights the act of taking the definitions into account.

premised on these definitions

Indicates that the definitions form the foundation of an argument or idea.

deriving from these definitions

Focuses on the process of obtaining something from the definitions.

drawing from these definitions

Similar to "deriving from", but emphasizes the extraction of information.

grounded in these definitions

Suggests a strong, fundamental connection to the definitions.

as defined by these terms

Highlights that the subsequent statements adhere strictly to a specific terminology.

pursuant to these definitions

Indicates action taken in accordance with the definitions.

FAQs

How can I use "based on these definitions" in a sentence?

You can use "based on these definitions" to introduce a conclusion or statement that logically follows from previously established definitions. For example, "Based on these definitions, we can categorize these elements into distinct groups".

What are some alternatives to "based on these definitions"?

Some alternatives include "according to these definitions", "in light of these definitions", or "given these definitions". You can also use "as defined by".

Is it better to say "based on these definitions" or "according to these definitions"?

Both "based on these definitions" and "according to these definitions" are grammatically correct and can be used interchangeably. The choice often depends on personal preference or stylistic considerations.

What does "based on these definitions" imply?

Using "based on these definitions" implies that the following statements or conclusions are directly derived from and consistent with the specific definitions that have been provided. It adds a sense of logical rigor to your argument.