How Do You Spell INTEGRABLE?

Pronunciation: [ˈɪntɪɡɹəbə͡l] (IPA)

The word "Integrable" can be spelled according to its IPA phonetic transcription as /ˈɪn.tɪ.ɡrə.bəl/. The word consists of four syllables, with stress on the second syllable. The letter "i" in the first and third syllables is pronounced as the short "i" sound, while the letter "e" in the second and fourth syllables is pronounced as the schwa sound. The combination of the letters "gr" in the third syllable is pronounced as the consonant cluster "ɡr", with the "g" sound followed by the "r" sound. Overall, the spelling of "Integrable" reflects its pronunciation accurately.

Meaning and Definition
Common Misspellings
Etymology
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INTEGRABLE Meaning and Definition

  1. Integrable is an adjective that refers to something that can be integrated or made into a cohesive whole. In various contexts, integrable may have different meanings and applications.

    In mathematics, particularly in calculus and analysis, integrable is used to describe a function or a mathematical expression that is capable of being integrated over a particular interval. A function is said to be integrable if it satisfies certain conditions that allow for the computation of its definite integral. These conditions may involve criteria such as continuity or boundedness. An integrable function can be seamlessly integrated to calculate the area under its curve or to find solutions to differential equations.

    In physics, integrable is used to describe a system or a mathematical model that exhibits the property of integrability. An integrable system possesses a sufficient number of conserved quantities, also known as integrals of motion. These conserved quantities enable the system to be solved analytically, leading to an explicit description of its dynamics.

    In a broader sense, integrable can be applied to other areas beyond mathematics and physics. For example, it can be used to describe a process or a policy that can be harmoniously combined with existing practices or regulations, without causing disruption or resistance. In this context, integrable signifies compatibility and the ability to be seamlessly integrated into a given framework or system.

    Overall, integrable signifies the capacity of something to be successfully united, coordinated, or combined with others, either in a mathematical, scientific, or broader context.

Common Misspellings for INTEGRABLE

Etymology of INTEGRABLE

The word "integrable" is derived from the Latin word "integrabilis", which means "that which can be integrated". It comes from the Latin verb "integrare", meaning "to make whole or complete". The concept of integration in mathematics, which refers to finding the integral of a function, is related to this original meaning of making something whole or complete. Therefore, the term "integrable" is used to describe a function or equation that can be integrated or has a well-defined integral.

Similar spelling words for INTEGRABLE

  • endocarpal,
  • square-integrable.