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Wondering how to use Asymptote in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning .

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Asymptote in a sentence

Related words

Asymptote | Asymptotes

Asymptote meaning

  1. A straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity".
  2. Anything which comes near to but never meets something else.

Synonyms of Asymptote

straight line

Related words

Other words often associated with Asymptote or its synonyms:

line curve

Using Asymptote

  • The main meaning on this page is: A straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity". | Anything which comes near to but never meets something else.
  • Useful related words include: straight line.
  • In the example corpus, asymptote often appears in combinations such as: an asymptote, vertical asymptote, asymptote and.

Context around Asymptote

  • Average sentence length in these examples: 21.9 words
  • Position in the sentence: 2 start, 8 middle, 5 end
  • Sentence types: 15 statements, 0 questions, 0 exclamations

Often before:

vertical 4× horizontal 2× slant 2× curvilinear 1×

Often after:

serves 1× requires 1×

Sentence patterns with Asymptote

These short patterns come directly from the example sentences and show how the word is often embedded:

have an asymptote 2× a curvilinear asymptote 1× a vertical asymptote and occupies 1× a vertical asymptote or a 1× also an asymptote 1× an asymptote serves as 1× and its asymptote for when 1× and vertical asymptote and occupies 1×

Sentence openings and endings

Common sentence openings:

an asymptote serves 1× asymptotes for rational 1× for example the 1× functions may lack 1× green difference between 1× however metapost and 1×

Common sentence endings:

have an asymptote 2× a curvilinear asymptote 1× also an asymptote 1× and 4th quadrant 1× any vertical asymptote 1× b citation 8 1×

Words around Asymptote

Just before it in the word index:

asymptomatically 3 asymptomatic 300 asymmetry 88 asymmetries 13 asymmetrically 26 asymmetrical 121

Just after it in the word index:

asymptotes 23 asymptotic 58 asymptotically 33 asymptotics 2 async 5 asynchronous 104

Similar in corpus frequency:

aaronson 19 abai 19 abass 19 abatements 19 abdulfatah 19 abebe 19

Corpus analysis for Asymptote

  • In this selection, "asymptote" usually appears in the middle of the sentence. The average example has 21.9 words, and this corpus slice is mostly made up of statements.
  • Around the word, vertical, horizontal, slant, serves and requires stand out and add context to how "asymptote" is used.
  • Recognizable usage signals include have an asymptote and a curvilinear asymptote. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "asymptote" sits close to words such as aaronson, abai and abass, which helps place it inside the broader word index.

Example types with asymptote

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

No closed curve can have an asymptote. (7 words)

However, MetaPost and Asymptote are preferred for mathematical illustrations. (9 words)

Therefore, the x-axis is an asymptote of the curve. (10 words)

Longer example sentences

For example, the parent function has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote,and occupies either the 1st and 3rd or 2nd and 4th quadrant. (43 words)

Suppose that the curve tends to infinity, that is: : A line ℓ is an asymptote of A if the distance from the point A(t) to ℓ tends to zero as t → b. citation, §8. (35 words)

Also, y → ∞ as t → 0 from the right, and the distance between the curve and the y-axis is t which approaches 0 as t → 0. So the y-axis is also an asymptote. (34 words)

Example sentences (15)

Asymptotes for rational functions A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes.

For example, the parent function has a horizontal and a vertical asymptote, and occupies the first and third quadrant, and all of its transformed forms have one horizontal and vertical asymptote,and occupies either the 1st and 3rd or 2nd and 4th quadrant.

Green: difference between the graph and its asymptote for When the numerator of a rational function has degree exactly one greater than the denominator, the function has an oblique (slant) asymptote.

Also, y → ∞ as t → 0 from the right, and the distance between the curve and the y-axis is t which approaches 0 as t → 0. So the y-axis is also an asymptote.

An asymptote serves as a guide line to show the behavior of the curve towards infinity.

Functions may lack horizontal asymptotes on either or both sides, or may have one horizontal asymptote that is the same in both directions.

However, MetaPost and Asymptote are preferred for mathematical illustrations.

It is impossible for the graph of a function to intersect a vertical asymptote (or a vertical line in general ) in more than one point.

Advertentie

Moreover, if a function is continuous at each point where it is defined, it is impossible that its graph does intersect any vertical asymptote.

No closed curve can have an asymptote.

Only open curves that have some infinite branch, can have an asymptote.

Such a branch is called a parabolic branch, even when it does not have any parabola that is a curvilinear asymptote.

Suppose that the curve tends to infinity, that is: : A line ℓ is an asymptote of A if the distance from the point A(t) to ℓ tends to zero as t → b. citation, §8.

Therefore, the understanding of the idea of an asymptote requires an effort of reason rather than experience.

Therefore, the x-axis is an asymptote of the curve.

Advertentie

Common combinations with asymptote

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "asymptote" in a sentence?
An example: "Asymptotes for rational functions A rational function has at most one horizontal asymptote or oblique (slant) asymptote, and possibly many vertical asymptotes." This page contains 10+ example sentences with the word "asymptote" from authentic English texts.
What does "asymptote" mean?
Asymptote means: A straight line which a curve approaches arbitrarily closely as it goes to infinity. The limit of the curve; its tangent "at infinity".
What are synonyms of "asymptote"?
Common synonyms of "asymptote" include: straight line.
How many example sentences with "asymptote" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "asymptote", drawn from a database of millions of English sentences.