Used in a Sentence

asymptotically

Definition, parts of speech, synonyms, and sentence examples for asymptotically.

Editorial note

It's a very widespread folk myth, even with physicists, that absence of matter means asymptotically flat spacetime, but it's not absolutely true.

Examples18
Definitions1
Parts of speech1

Quick take

(mathematical analysis) In an asymptotical manner, in the way of an asymptote, toward an asymptote.

Meaning at a glance

The clearest senses and uses of asymptotically gathered in one view.

adverb

(mathematical analysis) In an asymptotical manner, in the way of an asymptote, toward an asymptote.

Definitions

Core meanings and parts of speech for asymptotically.

adverb

(mathematical analysis) In an asymptotical manner, in the way of an asymptote, toward an asymptote.

Example sentences

1

It's a very widespread folk myth, even with physicists, that absence of matter means asymptotically flat spacetime, but it's not absolutely true.

2

Has that solved the problem of f and g being asymptotically more expensive than addition and multiplication?

3

The entertainment value asymptotically approaches zero for me when your updates are this sporadic, verbose, and vapid.

4

In the ocean, the tritiated water gets diluted, quickly, to levels asymptotically approaching ambient beta radiation.

5

The problem with this is that you can do worse than single-threaded (although not asymptotically speaking) in the worst case.

6

It's a waste of time, waste of space, and honestly will just disappear asymptotically.

7

There's also the \omikron or \Omega notation (or so) that has to be asymptotically correct (up to a factor) in both directions.

8

Yeah, we'll fix the occasional bug, but its asymptotically approaching 2.7 perfect, and its never going anywhere beyond there.

9

A certain belief is one that has a plausibility of exactly 1 or 0, and those are only asymptotically approachable applying Bayes' rule.

10

But what we have now is taxes that asymptotically approach 50% unless you have clever tax planners, like I do.

11

I don't want taxes to asymptotically approach 50%, I'd prefer if they were lower.

12

Although I don't know how one would go about proving or disproving if this is asymptotically better or just a (substantial) constant-factor speedup.

Quote examples

1

I understand the term "asymptotically more" to refer to big O notation, where constant factors like that are ignored.

2

How do you define "asymptotically approaching...

3

If the throttling slows it down but not to the extent of asymptotically approaching a limit within the month, then I think the word "unlimited" really applies.

4

I'm not a mathematician, and I'm probably wrong, but I think it has to do with infinite series that "circle" around a value, and asymptotically approach a value, only accurately expressed in terms of pi.

Proper noun examples

1

Asymptotically close to 100%, given a little time.

2

Approximations to this computation are even more fun: Asymptotically, this function tends to x/ln(x), or more accurately to the integral 1/ln(x) dx from x=2 to n, whose asymptotic expansion is x/ln(x) + 1!x/(ln(x))^2 + 2!x/(ln(x))^3 +...

Frequently asked questions

Short answers drawn from the clearest meanings and examples for this word.

How do you use asymptotically in a sentence?

It's a very widespread folk myth, even with physicists, that absence of matter means asymptotically flat spacetime, but it's not absolutely true.

What does asymptotically mean?

(mathematical analysis) In an asymptotical manner, in the way of an asymptote, toward an asymptote.

What part of speech is asymptotically?

asymptotically is commonly used as adverb.