Limit vs Integral - What's the difference?
limit | integral |
A restriction; a bound beyond which one may not go.
* 1839 , (Charles Dickens), Nicholas Nickleby , chapter 21:
* 1922 , , Ulysses , episode 17:
* 2012 March 6, Dan McCrum, Nicole Bullock and Guy Chazan, Financial Times ,
(mathematics) A value to which a sequence converges. Equivalently, the common value of the upper limit and the lower limit of a sequence: if the upper and lower limits are different, then the sequence has no limit (i.e., does not converge).
(mathematics) Any of several abstractions of this concept of limit.
(category theory) Given diagram F'' : ''J'' → ''C'', a cone (''L'', ''φ'') from ''L'' ∈ Ob(''C'') to ''F'' is the ''limit'' of ''F'' if it has the universal property that for any other cone (''N'', ''ψ'') from ''N'' ∈ Ob(''C'') to ''F'' there is a unique morphism ''u'' : ''N'' → ''L'' such that for all ''X'' ∈ Ob(''J ), .
(poker) Short for fixed limit.
The final, utmost, or furthest point; the border or edge.
* Alexander Pope
(obsolete) The space or thing defined by limits.
* Shakespeare
(obsolete) That which terminates a period of time; hence, the period itself; the full time or extent.
* Shakespeare
* Shakespeare
(obsolete) A restriction; a check or curb; a hindrance.
* Shakespeare
(logic, metaphysics) A determining feature; a distinguishing characteristic.
(poker) Being a fixed limit game.
To restrict; not to allow to go beyond a certain bound.
*
(mathematics) To have a limit in a particular set.
(obsolete) To beg, or to exercise functions, within a certain limited region.
Constituting a whole together with other parts or factors; not omittable or removable
* South
(mathematics) Of, pertaining to, or being an integer.
(mathematics) Relating to integration.
(obsolete) whole; undamaged
* Francis Bacon
(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.
(mathematics)
In mathematics terms the difference between limit and integral
is that limit is any of several abstractions of this concept of limit while integral is antiderivative.In obsolete terms the difference between limit and integral
is that limit is to beg, or to exercise functions, within a certain limited region while integral is whole; undamaged.As nouns the difference between limit and integral
is that limit is a restriction; a bound beyond which one may not go while 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.As adjectives the difference between limit and integral
is that limit is being a fixed limit game while integral is constituting a whole together with other parts or factors; not omittable or removable.As a verb limit
is to restrict; not to allow to go beyond a certain bound.limit
English
Etymology 1
From (etyl), from (etyl), from (etyl) .Noun
(en noun)- There are several existing limits to executive power.
- Two drinks is my limit tonight.
- It is the conductor which communicates to the inhabitants of regions beyond its limit ,
- Ever he would wander, selfcompelled, to the extreme limit of his cometary orbit, beyond the fixed stars and variable suns and telescopic planets, astronomical waifs and strays, to the extreme boundary of space,
“Utility buyout loses power in shale gas revolution”:
- At the time, there seemed to be no limit to the size of ever-larger private equity deals, with banks falling over each other to arrange financing on generous terms and to invest money from their own private equity arms.
- The sequence of reciprocals has zero as its limit.
- Category theory defines a very general concept of limit.
- the limit of a walk, of a town, or of a country
- As eager of the chase, the maid / Beyond the forest's verdant limits strayed.
- The archdeacon hath divided it / Into three limits very equally.
- the dateless limit of thy dear exile
- The limit of your lives is out.
- I prithee, give no limits to my tongue.
Synonyms
* (restriction) bound, boundary, limitation, restrictionDerived terms
* age limit * central limit theorem * city limits * elastic limit * in the limit * limit down * limit up * limitation * limitless * lower limit * outer limit * the sky is the limit * to the limit * time limit * unlimited * upper limitDescendants
* German: (l)See also
* bound * functionAdjective
(-)Etymology 2
From (etyl) ; see noun.Verb
(en verb)- [The Chinese government] has jailed environmental activists and is planning to limit the power of judicial oversight by handing a state-approved body a monopoly over bringing environmental lawsuits.
Synonyms
* (restrict) cap; restrict; withstrainExternal links
* * * ----integral
English
Adjective
(en adjective)- Ceasing to do evil, and doing good, are the two great integral parts that complete this duty.
- A local motion keepeth bodies integral .
Synonyms
* (constituting a whole) immanent, inherent, necessaryDerived 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 * integrityNoun
(wikipedia integral) (en noun)- The integral of on is .
- The integral of is plus a constant.