closure definition

USAGE SUMMARY

The phrase "closure definition" is correct and usable in written English. You can use it in contexts related to programming, mathematics, or any field where a specific definition of closure is needed. For example, "The closure definition in this context refers to the way functions capture their surrounding state." Alternative expressions include "definition of closure" and "closure explanation."

✓ Grammatically correct

Science

News & Media

Human-verified examples from authoritative sources

Exact Expressions

1 human-written examples

When XOR operation is used to code packets together, the simple closure of S, denoted by (S^_{C}), is the set of packets that can be decoded from C using packets in S. To better understand the simple closure definition, we illustrate the following example.

EURASIP Journal on Wireless Communications and Networking

Human-verified similar examples from authoritative sources

Similar Expressions

59 human-written examples

Let T be a subspace in X 2. Then T ∗ is a closed subspace in X 2, T ∗ = ( T ¯ ) ∗, and T ∗ ∗ = T ¯, where T ¯ is the closure of T. Definition 2.2 (see [[19], p.114] or [3]).

Advances in Difference Equations

And the urbanist and designer Stan Allen, now dean of the Princeton School of Architecture, points out that "rather than impose structure, leading to closure and more precise definition, MVRDV works to keep the schema open as long as possible, so that it can absorb as much information as possible".

The New York Times - Magazine

The reasons behind the closure depend on the definition being used (Everett and Watson 1998; Watson and Everett 1996).

Journal of Global Entrepreneurship Research

Since the definition of closure temperature in the 1960s, mineral ages of low-temperature geochronometers are traditionally interpreted as the result of cooling induced by erosion, whose rate is a simple, unique function of age patterns.

Earth and Planetary Science Letters

Driven by a desire to help Alon's family find some closure, he broadened the definition of persistence, yet, one year later, remained in the dark.

Huffington Post

Because of the definition of "closure", the attrition rate includes patients who may not have died and may still be receiving the treatment through other sources.

Globalization and Health

Thus a possible flux for each possible reaction among the molecules like in organization theory (by the definition of closure), is not required for a feasible flux vector in SR-FBA.

BMC Systems Biology

Arbitrarily fixing s1 and s3 with s1 < s3 the closure of an explicit definition is reflected by the choice of s2 with the restriction of s1 ≤ s2 ≤ s3 ; see Section 2.4 and Appendix B. Explicit definitions, so to speak, implicitly make some (though quite vague) assumptions on the type of underlying disease structure.

Bioinformatics and Biology Insights

The form of these closures is similar to flux-limiters for diffusion with the addition of a time-derivative in the definition of the closure.

Journal of Computational Physics

Here B ¯ denotes the closure of the set B. Definition 2.7 [2.7.

Fixed Point Theory and Applications

Expert writing Tips

Best practice

When using "closure definition", ensure that the context clearly indicates which type of closure you are defining, whether it's in mathematics, programming, or a more abstract sense.

Common error

Avoid using "closure definition" without specifying the domain (e.g., mathematical closure, psychological closure). This ensures clarity and prevents ambiguity.

Linguistic Context

The phrase "closure definition" serves as a noun phrase that identifies the specific meaning or explanation of the term "closure". According to Ludwig, the phrase is grammatically correct. It's used to pinpoint the precise understanding of a concept, whether in mathematics, programming, or emotional contexts.

Expression frequency: Rare

Frequent in

Science

67%

News & Media

27%

Encyclopedias

6%

Less common in

Formal & Business

0%

Wiki

0%

Social Media

0%

Ludwig's WRAP-UP

In summary, "closure definition" is a grammatically sound phrase used to specify the meaning of "closure" across various domains, particularly in science, news, and encyclopedic contexts. As indicated by Ludwig, the phrase is valid, though not very common. When using this phrase, it's crucial to provide sufficient context to avoid ambiguity, clarifying whether you're referring to mathematical, computational, or psychological closure. Though versatile, the definition should be clear to avoid overgeneralization.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

definition of closure

Inverts the order of the words, offering a slightly more common phrasing.

defining closure

Uses the gerund form of "define" to emphasize the action of defining.

closure explained

Replaces "definition" with a more explanatory term.

what closure means

Focuses on the meaning rather than the formal definition.

meaning of closure

Similar to "what closure means" but with a slightly different structure.

understanding closure

Shifts the focus to comprehension of the concept.

closure concept

Uses a more abstract term to refer to closure.

concept of closure

Emphasizes the conceptual nature of closure.

properties of closure

Shifts focus from the definition to the characteristics of closure.

closure principle

Replaces the term "definition" with a more principle-centered term.

FAQs

How is the term "closure definition" used in programming?

In programming, "closure definition" refers to how a function retains access to variables from its surrounding scope even after the scope has finished executing. This allows the function to "remember" and manipulate those variables later.

What's another way to say "closure definition"?

You can use alternatives like "definition of closure", "understanding closure", or "closure explained" depending on the context.

Which fields commonly use a "closure definition"?

The term "closure definition" is commonly used in mathematics, computer science (especially in functional programming), psychology (referring to a sense of resolution), and in organizational theory.

How does the "closure definition" differ between mathematics and psychology?

In mathematics, "closure definition" refers to a set's property where performing an operation on its elements results in another element within the same set. In psychology, it often refers to achieving a sense of resolution or completeness regarding an emotional issue.