logical complement

USAGE SUMMARY

The phrase "logical complement" is correct and usable in written English. You can use it in contexts related to logic, mathematics, or computer science when discussing the negation of a proposition. For example, "The logical complement of the statement 'It is raining' is 'It is not raining.'" Alternative expressions include "negation" and "inverse."

✓ Grammatically correct

Science

News & Media

Formal & Business

Human-verified examples from authoritative sources

Exact Expressions

9 human-written examples

Mr. Welburn's exploration of metalworking's earlier forms is a logical complement to his day job.

The New York Times

As such, it forms a logical complement to, and casts a retrospective light on, the manic glee of his previous books, especially the second and third.

The New York Times - Books

Those onboard improvements weren't detailed, but updated hardware to handle the increased bandwidth would be a logical complement to the sea-level items.

TechCrunch

His de-mythologized account of natural phenomena is, in short, the logical complement to his thoroughly de-naturalized account of the divine nature.

SEP

In this way, individuality "fixes the limits of natural scientific concept formation" (Rickert 1986, 40) and calls forth its logical complement: "individualizing concept-formation" (Rickert 1986, 62) as the method defining the historical sciences.

SEP

To the extent that existing EPL indicators measuring the level of protection, or costs of dismissals, afforded by EPL (for example, ILO EPLex indicators, or OECD EPL indicators), also reflect mainly laws and general regimes, our coverage data serves as a logical complement to these data.

IZA Journal of Labor Policy

Human-verified similar examples from authoritative sources

Similar Expressions

51 human-written examples

The 'part_of' and 'has_part' relationships are logical complements of each other [ 7].

Briefings in Bioinformatics

Here, many classes have clearly defined exclusions (e.g. the general class "Thrombosis" excludes "Thrombosis in Pregnancy") and logical complements (e.g. the ubiquitous "not elsewhere classified" classes).

BMC Medical Informatics and Decision Making

The logical inverse (complement) of the matrix is denoted by (sim ) e.g. (tilde{mathrm{K}}) as the complement of (mathrm{K}).

Complex Adaptive Systems Modeling

Moreover, genetic makeup in general might simultaneously affect one's propensity to gain weight as well as his or her physiologic response to being overweight.[ 69] Nevertheless, the obesity-related stigma hypothesis is logical and complements, rather than refutes, the adiposity hypothesis.

BMC Public Health

First, on the assumption that there are negative properties, every property F will supervene with logical necessity on its complement not-F.

SEP

Expert writing Tips

Best practice

When using "logical complement", ensure the context clearly defines what is being complemented. Clarity is key in technical and formal writing.

Common error

Avoid assuming the "logical complement" is universally understood without context. Explicitly define what is being negated or complemented to prevent ambiguity.

Linguistic Context

The phrase "logical complement" functions as a noun phrase, typically acting as the subject or object in a sentence. It describes a concept, operation, or element that negates or completes another within a logical system, as demonstrated by Ludwig examples.

Expression frequency: Uncommon

Frequent in

Science

67%

News & Media

22%

Formal & Business

11%

Less common in

Encyclopedias

0%

Wiki

0%

Reference

0%

Ludwig's WRAP-UP

In summary, "logical complement" is a grammatically sound noun phrase used to describe an element that negates or completes another within a logical system. Ludwig AI indicates it's most commonly found in scientific contexts, with moderate usage in news and formal writing. When using "logical complement", ensure clarity by defining the scope of what is being complemented. The phrase is well-regarded by experts, indicating its proper and effective use in relevant domains. Alternatives include "opposite counterpart" or "inverse equivalent", depending on the specific context.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

opposite counterpart

This alternative emphasizes the opposing nature of the relationship, focusing on the contrasting element rather than the logical aspect.

complementary negative

This phrase specifically includes both the complementary and negative aspects, offering a precise but slightly more verbose alternative.

inverse equivalent

This alternative highlights the inverse relationship, particularly suitable in mathematical or logical contexts.

opposite number

This is particularly applicable when referring to entities or concepts that mirror each other in an opposing sense.

opposing element

This option underscores the element that stands in opposition to the original, suitable in various contexts.

contrary element

This option focuses on the element that is contrary or in opposition to the original.

contradictory aspect

This option stresses the contradictory nature, suitable when discussing opposing viewpoints or statements.

reverse aspect

This emphasizes the reversed nature or direction of the related element.

negating factor

This alternative focuses on the element that nullifies or reverses the effect of the original.

antithetical component

This alternative highlights the directly opposing or contrasting nature of the element.

FAQs

How is "logical complement" used in computer science?

In computer science, "logical complement" often refers to the bitwise negation of a binary number, where each 0 becomes 1 and each 1 becomes 0. It's a fundamental operation in digital logic.

What is the difference between "logical complement" and "inverse"?

While both terms suggest opposition, "logical complement" typically implies a negation within a logical system, whereas "inverse" can have broader mathematical or general meanings. Consider using "inverse" for mathematical functions or relationships and "logical complement" when referring to logical statements or binary operations.

Can I use "opposite" instead of "logical complement"?

While "opposite" can sometimes work as a substitute, "logical complement" is more precise in contexts related to logic, mathematics, or computer science. Use "opposite counterpart" in less formal settings where the logical precision is not critical.

Is "logical complement" the same as "ones' complement"?

Yes, "logical complement" is often used interchangeably with "ones' complement", especially in computer science, to describe the bitwise negation of a binary number.