Mathematics English - Limit

\varepsilon -\delta Limit language used to describe the function

\varepsilon -N language used to describe the sequence limit

converges to converge to ...

approach vt close intransitive verb, direct Garbin language; Equivalent to tend to Garbin language;

in contradiction to ... in contradiction with ......

be contradictory to ... contradiction with ......

be contrary to ... the opposite ......

illustrate B with A B explanation by A

As shown as illustrated ......

As mentioned as asserted ......

as stated ...... As the

...... ... upper surface of in the appearance in

any arbitrary a;. any synonym  

eg: for any points on the plane at any point on a plane

all we need to prove is that ... we need evidence ......

knowledge of sth know something


continous on the left Left continuous

Continuous continous on the right the right

continous at point x0 continuous at the point x0

definite integral definite intergral

definite quadratic form given quadratic

increasing sequence increasing sequence

incresing series incremental progression

decreasing sequence descending sequence

monotonic a. monotonous

monotonic function monotonic function

monotonic sequence monotonic sequence

successive term by one, o items

successive integration term by term integration


  • sequence n. Sequence

Number number sequence of columns

sequence of real real number columns

sequence of points dot column

infinite sequence of infinite sequence

finite sequence finite sequence

convergence sequence convergent sequence

  • limit n. limit

limit condition extreme conditions

limit function limit function

limit of the limit function function

left limit Left limit

right limit right limit

limiting a. limit

limiting point of a sequence limit point 

limiting value limit

limited a. finite, limited

limited variation bounded variation

  • converge v. Convergence

converge almost everywhere convergence almost everywhere

converge criterion convergent discriminant

converge domain convergence region

converge in measure convergence in measure

converge in mean average convergence

converge property convergence properties

converge uniformly uniform convergence

  • diverge v. divergent

diverge infinite series infinite series diverges 

diverge intergrals divergent points

divergence n. divergence (sex)

divergent a. diverged

  • . Bound n boundary limit; V defined.

upper bound upper bound

lower bound lower bound

least upper bound = Supremum supermum

greatest lower bound = infimum infimum

bounded a. bounded manner

bounded function bounded function

bounded sequence bounded rank

bounded set bounded Collection

unbounded a. unbounded

unbounded domain unbounded domain

unbounded function unbounded function

 

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