defined as closed

USAGE SUMMARY

The phrase "defined as closed" is correct and usable in written English.
It can be used in contexts where you are explaining the characteristics or properties of a particular subject, often in technical or academic writing. Example: "In topology, a set is defined as closed if it contains all its limit points."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

6 human-written examples

We show that certain non-Fock quantum boson stochastic integrals are canonically defined as closed operators.

Journal of Functional Analysis

The change of scale relied on an intermediary local scale called the meso-scale which was based on the existence of meso-domains defined as closed loops of particles in contact.

International Journal of Solids and Structures

Most houses were build with bricks, and only 7% (37/528) could be defined as "closed houses" (Table 1).

American Journal of Tropical Medicine and Hygiene

Minor procedures were defined as closed or open reduction (including change of bipolar head) and removal of IF.

Acta Orthopaedica

These motifs are defined as closed triple-vertex regulatory circuits, and can be classified into 'feed-forward loops' (FFLs) and 'feed-backward-loops' (FBLs) according to the ways of the directional regulations being connected.

BMC Systems Biology

Additionally, a systematic review revealed that outcomes were better in a cohort of critically-ill patients managed by intensivists in high-intensity ICUs (defined as closed ICUs or ICUs with mandated intensivist consultation) as compared to low-intensity ICUs, with an overall reduction in the relative risk (RR) of both hospital and ICU mortality [ 7].

Critical Care

Human-verified similar examples from authoritative sources

Similar Expressions

54 human-written examples

This is defined as "closing the referral loop". As health systems grow more complex, regulatory bodies increase vigilance, and reimbursement shifts towards value, closing the referral loop becomes a patient safety, regulatory, and financial imperative.

Duke University

Optimal PDT-induced closure of vasculature in the CAM is defined as closing the same diameter as the choroidal neovessels (CNV) that are targeted in PDT in the case of wet age-related macular degeneration (i.e. < 70 μm in diameter), while leaving the larger vessels open.

Angiogenesis

The distance between patient home and health facility or pharmacy was defined as "close" or "far" depending on the distance in kilometers, also taking into account ease of access, i.e. main road and river (according to Figure 1).

Plosone

Familiarity is defined as ' close acquaintance with or knowledge about something '[ 27].

BMC Health Services Research

Huddling was defined as close, physical, predominantly immobile or affiliative contact [ 57].

BMC Evolutionary Biology

Expert writing Tips

Best practice

When using "defined as closed", ensure the context clearly establishes the criteria or properties that determine the 'closed' state. This helps avoid ambiguity and provides a precise understanding.

Common error

Avoid using "defined as closed" in contexts where the criteria for 'closed' are vague or not explicitly stated. This can lead to misinterpretations and weaken the clarity of your statement.

Linguistic Context

The phrase "defined as closed" primarily functions as a definitional expression. It serves to specify the precise meaning or criteria for something to be considered 'closed' within a given context. Ludwig AI confirms its usability in written English.

Expression frequency: Uncommon

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Academia

0%

Ludwig's WRAP-UP

The phrase "defined as closed" is used to specify the criteria by which something is considered 'closed'. Ludwig AI indicates that the phrase is grammatically sound and suitable for use in written English, particularly in formal and scientific contexts. When employing this phrase, ensure that the context establishes the definitive characteristics of the 'closed' state to avoid vagueness. Alternative expressions include "characterized as closed" and "designated as closed". This phrase is most commonly found in scientific literature, highlighting its importance in precise and technical communication.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

Characterized as closed

This alternative focuses on describing the attributes of something as being closed, emphasizing its properties.

Designated as closed

This suggests a formal assignment or classification of something as closed.

Considered closed

This emphasizes a subjective assessment or opinion that something is closed.

Classified as closed

This is used when categorizing something into a specific group or class that is considered closed.

Deemed as closed

Similar to 'considered,' but with a more formal or authoritative tone.

Identified as closed

Focuses on the act of recognizing or distinguishing something as closed.

Determined to be closed

Indicates a conclusive decision or finding that something is closed.

Labeled as closed

Describes the act of assigning a label to something indicating that it is closed.

Recognized as closed

Implies a broader acknowledgement or understanding that something is closed.

Interpreted as closed

Highlights the understanding or interpretation of something as closed, which may be subjective.

FAQs

How can I use "defined as closed" in a sentence?

Use "defined as closed" when you need to specify the precise criteria for something being considered 'closed' within a particular context. For example, "In this study, a loop is "defined as closed" if it contains no free ends".

What are some alternatives to "defined as closed"?

Alternatives include "characterized as closed", "designated as closed", or "considered closed". The best choice depends on the specific nuance you want to convey.

Is it better to say "defined as closed" or "defined to be closed"?

"Defined as closed" is generally more concise and common. "Defined to be closed" is also grammatically correct but can sound slightly more formal or emphatic. Choose the option that best fits the tone of your writing.

In what contexts is "defined as closed" most appropriate?

"Defined as closed" is most appropriate in technical or academic writing where precise definitions are essential. It's commonly used in mathematics, computer science, and other fields where clarity and specificity are paramount.