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Reducible Meaning: Definition, Examples, and Translations

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reducible

[rษชหˆdjuหsษ™bl ]

Definitions

Context #1 | Adjective

in mathematics

Capable of being reduced or simplified to a simpler form.

Synonyms

simplifiable, simplistic.

Which Synonym Should You Choose?

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Word Description / Examples
reducible

Suitable for general usage, it means something that can be lessened or made smaller.

  • The price of the product is reducible during sales
  • The workload is reducible if we hire more staff
simplifiable

Used in mathematical or logical contexts to describe something that can be made simpler.

  • The algebraic expression x^2 - 4 is simplifiable to (x - 2)(x + 2)
  • The code is simplifiable by using a function
simplistic

Often has a negative connotation, suggesting that something is too simple and lacks complexity. Commonly used in critiques.

  • The plan was dismissed as too simplistic
  • The article offers a simplistic view of a complex issue

Examples of usage

  • This equation is reducible to a quadratic form.
  • The complex problem turned out to be reducible to a series of simpler tasks.
Context #2 | Adjective

in chemistry

Able to undergo reduction, the gain of electrons by one of the atoms in a molecule.

Synonyms

oxidizable.

Which Synonym Should You Choose?

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Word Description / Examples
reducible

This word is mainly used in scientific and technical contexts, particularly in chemistry, to describe a substance that can gain electrons or decrease in oxidation state. It can also refer to a problem or issue that can be simplified or minimized in some way.

  • Iron(III) oxide is reducible to iron in a blast furnace.
  • The complexity of the project is reducible with proper planning.
oxidizable

This term is also used in scientific contexts, particularly in chemistry, to describe a substance that can lose electrons or increase in oxidation state during a chemical reaction.

  • Hydrogen gas is highly oxidizable and can react explosively with oxygen.
  • The presence of oxidizable metals affects the batteryโ€™s performance.

Examples of usage

  • This compound is reducible under certain conditions.

Translations

To see the translation, please select a language from the options available.

Interesting Facts

Mathematics

  • In algebra, a polynomial is reducible if it can be factored into lower-degree polynomials.
  • Understanding reducibility is crucial in number theory, particularly in analyzing prime numbers.
  • The concept also extends to linear algebra, where systems of equations can be simplified further.

Philosophy

  • The idea of reducibility is often discussed in metaphysics, particularly concerning the relationship between mind and body.
  • Philosophers analyze whether complex systems can be broken down into simpler, understandable parts.
  • This concept challenges the view of reductionism, which suggests everything can be explained by simpler components.

Science

  • In chemistry, substances are considered reducible if they can undergo reactions to form simpler compounds.
  • The principle of reducibility is essential in genetics, where traits can sometimes be simplified into dominant or recessive patterns.
  • In physics, discussions on fundamental particles often focus on determining if complex particles can be reduced to elementary particles.

Literature

  • Authors often explore themes of reducibility in their narratives, reflecting on how characters or plots can be simplified.
  • This concept appears in modern literature, where plotlines may be reduced to archetypes or essential conflicts.
  • In poetry, the power of language is sometimes showcased by reducibility, stripping sentences to their core emotions.

Origin of 'reducible'

Main points about word origin

  • The term comes from the Latin 'reducere,' which means 'to lead back or bring back.'
  • The prefix 're-' suggests repetition or backward motion, while 'ducere' relates to leading or bringing.
  • Its usage in mathematical contexts has evolved since the late 19th century, referring specifically to simplifying expressions.

The word 'reducible' originates from the Latin word 'reducere', meaning 'to bring back'. It first appeared in the English language in the 15th century. Over time, 'reducible' has been used in various fields such as mathematics, chemistry, and philosophy to denote the ability to simplify or undergo reduction.

See also: reduced, reducer, reducing, reduction.

Word Frequency Rank

With rank #18,724, this word belongs to specialized vocabulary. While not common in everyday speech, it enriches your ability to express complex ideas.