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Vital vs Integral - What's the difference?

vital | integral |

As adjectives the difference between vital and integral

is that vital is relating to, or characteristic of life while integral is constituting a whole together with other parts or factors; not omittable or removable.

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.

vital

English

(wikipedia vital)

Adjective

(en adjective)
  • Relating to, or characteristic of life.
  • vital''' energies; '''vital''' functions; '''vital actions
  • Necessary to the continuation of life; being the seat of life; being that on which life depends.
  • The brain is a vital organ.
  • * Spenser
  • Do the heavens afford him vital food?
  • Invigorating or life-giving.
  • Necessary to continued existence.
  • The transition to farming was vital for the creation of civilisation.
  • Relating to the recording of life events.
  • Birth, marriage and death certificates are vital records.
  • Very important.
  • It is vital that you don't forget to do your homework.
  • * {{quote-magazine, date=2012-12-14
  • , author=Simon Jenkins, authorlink=Simon Jenkins , title=We mustn't overreact to North Korea boys' toys , volume=188, issue=2, page=23 , date=2012-12-21 , magazine= citation , passage=David Cameron insists that his latest communications data bill is “vital to counter terrorism”. Yet terror is mayhem. It is no threat to freedom. That threat is from counter-terror, from ministers capitulating to securocrats.}}
  • Containing life; living.
  • * Milton
  • spirits that live throughout, vital in every part
  • * Alexander Pope
  • The dart flew on, and pierced a vital part.
  • Capable of living; in a state to live; viable.
  • * Sir Thomas Browne
  • Pythagoras and Hippocrates affirm the birth of the seventh month to be vital .

    Derived terms

    * vital force * vital organ * vital signs * vital statistics

    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

    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

    Anagrams

    * * * * English heteronyms ----