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Integral vs Crucial - What's the difference?

integral | crucial |

As adjectives the difference between integral and crucial

is that integral is constituting a whole together with other parts or factors; not omittable or removable while crucial is being essential or decisive for determining the outcome or future of something; extremely important.

As a noun integral

is a number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.

integral

English

Adjective

(en adjective)
  • Constituting a whole together with other parts or factors; not omittable or removable
  • * South
    • Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.
  • (mathematics) Of, pertaining to, or being an integer.
  • (mathematics) Relating to integration.
  • (obsolete) whole; undamaged
  • * Francis Bacon
    • A local motion keepeth bodies integral .

    Synonyms

    * (constituting a whole) immanent, inherent, necessary

    Derived terms

    * integral brick * integral closure * integral cosmology * integral cuboid * integral current * integral curvature * integral curve * integral domain * integral drawing * integral ecology * integral element * integral energy * integral extension * integral fast reactor * integral field unit * integral function * integral geometry * integral graph * integral homology group * integral kernel * integral membrane protein * integral politics * integral polygedron * integral polynomial * integral post-metaphysics * integral psychology * integral transformative practice * integral yoga * integrity

    Related terms

    * integer

    Noun

    (wikipedia integral) (en noun)
  • (mathematics) A number, the limit of the sums computed in a process in which the domain of a function is divided into small subsets and a possibly nominal value of the function on each subset is multiplied by the measure of that subset, all these products then being summed.
    • The integral of x\mapsto x^2 on [0,1] is \frac{1}{3}.
  • (mathematics)
    • The integral of x^2 is \frac{x^3}{3} plus a constant.

    Synonyms

    * (limit of sums) definite integral * (antiderivative) antiderivative, indefinite integral,

    Antonyms

    * (antiderivative) derivative

    Derived terms

    * definite integral * half-integral * improper integral * indefinite integral * integral calculus * integral equation * integral theory * integral transform * integration * Riemann integral * Riemann-Stieltjes integral * Lebesgue integral

    Related terms

    * integer

    Anagrams

    * * * * English heteronyms ----

    crucial

    English

    Adjective

    (en adjective)
  • Being essential or decisive for determining the outcome or future of something; extremely important.
  • *{{quote-magazine, date=2014-03-07, author= Nicole Vulser
    • , volume=190, issue=13, page=30, magazine=(The Guardian Weekly) , title= Perfume manufacturers must cope with the scarcity of precious supplies , passage=The perfume industry is facing a major problem: maintaining constant levels of quality is crucial , but it is increasingly difficult to obtain a regular supply of all the necessary natural ingredients.}}
  • (label) Cruciform or cruciate; cross-shaped.
  • Term of approval, particularly when applied to reggae music.

    • Derived terms

    * crucial experiment

    Related terms

    * cross * crux

    References

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