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Meaning of "asymptotically" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF ASYMPTOTICALLY

asymptotically  [ˌæsɪmˈtɒtɪkəlɪ] play
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GRAMMATICAL CATEGORY OF ASYMPTOTICALLY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Asymptotically is an adverb.
The adverb is an invariable part of the sentence that can change, explain or simplify a verb or another adverb.

WHAT DOES ASYMPTOTICALLY MEAN IN ENGLISH?

Asymptote

In analytic geometry, an asymptote of a curve is a line such that the distance between the curve and the line approaches zero as they tend to infinity. Some sources include the requirement that the curve may not cross the line infinitely often, but this is unusual for modern authors. In some contexts, such as algebraic geometry, an asymptote is defined as a line which is tangent to a curve at infinity. The word asymptote is derived from the Greek ἀσύμπτωτος which means "not falling together," from ἀ priv. + σύν "together" + πτωτ-ός "fallen." The term was introduced by Apollonius of Perga in his work on conic sections, but in contrast to its modern meaning, he used it to mean any line that does not intersect the given curve. There are potentially three kinds of asymptotes: horizontal, vertical and oblique asymptotes. For curves given by the graph of a function y = ƒ, horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to +∞ or −∞. Vertical asymptotes are vertical lines near which the function grows without bound.

Definition of asymptotically in the English dictionary

The definition of asymptotically in the dictionary is in an asymptotic way; from an asymptotic point of view.

WORDS THAT RHYME WITH ASYMPTOTICALLY


abiotically
ˌeɪbaɪˈɒtɪkəlɪ
aerobiotically
ˌɛərəʊˌbaɪˈɒtɪkəlɪ
biotically
baɪˈɒtɪkəlɪ
endosmotically
ˌendɒzˈmɒtɪkəlɪ
erotically
ɪˈrɒtɪkəlɪ
exotically
ɪɡˈzɒtɪkəlɪ
gnotobiotically
ˌnəʊtəʊbaɪˈɒtɪkəlɪ
hypnotically
hɪpˈnɒtɪkəlɪ
idiotically
ˌɪdɪˈɒtɪkəlɪ
idioticalness
ˌɪdɪˈɒtɪkəlɪ
meiotically
maɪˈɒtɪkəlɪ
mitotically
ˌmaɪˈtɒtɪkəlɪ
neurotically
njʊˈrɒtɪkəlɪ
osmotically
ɒzˈmɒtɪkəlɪ
patriotically
ˌpætrɪˈɒtɪkəlɪ
psychotically
saɪˈkɒtɪkəlɪ
quixotically
kwɪkˈsɒtɪkəlɪ
robotically
rəʊˈbɒtɪkəlɪ
unpatriotically
ˌʌnˌpætrɪˈɒtɪkəlɪ
zymotically
zaɪˈmɒtɪkəlɪ

WORDS THAT BEGIN LIKE ASYMPTOTICALLY

asymmetric
asymmetric bars
asymmetric time
asymmetric warfare
asymmetrical
asymmetrical bars
asymmetrical warfare
asymmetrically
asymmetry
asymptomatic
asymptomatically
asymptote
asymptotic
asymptotical
asynapsis
asynartete
asynartetic
asynchronism
asynchronous
asynchronously

WORDS THAT END LIKE ASYMPTOTICALLY

actually
alphabetically
automatically
basically
clinically
critically
dramatically
economically
electronically
fantastically
historically
locally
periodically
physically
politically
practically
specifically
statistically
technically
tragically
typically

Synonyms and antonyms of asymptotically in the English dictionary of synonyms

SYNONYMS

Translation of «asymptotically» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF ASYMPTOTICALLY

Find out the translation of asymptotically to 25 languages with our English multilingual translator.
The translations of asymptotically from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «asymptotically» in English.

Translator English - Chinese

渐近
1,325 millions of speakers

Translator English - Spanish

asintóticamente
570 millions of speakers

English

asymptotically
510 millions of speakers

Translator English - Hindi

asymptotically
380 millions of speakers
ar

Translator English - Arabic

مقارب
280 millions of speakers

Translator English - Russian

асимптотически
278 millions of speakers

Translator English - Portuguese

assintoticamente
270 millions of speakers

Translator English - Bengali

এসিম্পটোটিকভাবে
260 millions of speakers

Translator English - French

asymptotiquement
220 millions of speakers

Translator English - Malay

Asymptotically
190 millions of speakers

Translator English - German

asymptotisch
180 millions of speakers

Translator English - Japanese

漸近的に
130 millions of speakers

Translator English - Korean

점근
85 millions of speakers

Translator English - Javanese

Asymptotically
85 millions of speakers
vi

Translator English - Vietnamese

tiệm
80 millions of speakers

Translator English - Tamil

தொலைத்தொடுகோட்டு
75 millions of speakers

Translator English - Marathi

Asymptotically
75 millions of speakers

Translator English - Turkish

asimptotik
70 millions of speakers

Translator English - Italian

asintoticamente
65 millions of speakers

Translator English - Polish

asymptotycznie
50 millions of speakers

Translator English - Ukrainian

асимптотично
40 millions of speakers

Translator English - Romanian

asimptotic
30 millions of speakers
el

Translator English - Greek

ασυμπτωτικά
15 millions of speakers
af

Translator English - Afrikaans

asymptotically
14 millions of speakers
sv

Translator English - Swedish

asymptotiskt
10 millions of speakers
no

Translator English - Norwegian

asymptotisk
5 millions of speakers

Trends of use of asymptotically

TRENDS

TENDENCIES OF USE OF THE TERM «ASYMPTOTICALLY»

The term «asymptotically» is quite widely used and occupies the 52.106 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Quite widely used
76
/100
The map shown above gives the frequency of use of the term «asymptotically» in the different countries.
Principal search tendencies and common uses of asymptotically
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «asymptotically».

FREQUENCY OF USE OF THE TERM «ASYMPTOTICALLY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «asymptotically» during the past 500 years. Its implementation is based on analysing how often the term «asymptotically» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about asymptotically

EXAMPLES

10 ENGLISH BOOKS RELATING TO «ASYMPTOTICALLY»

Discover the use of asymptotically in the following bibliographical selection. Books relating to asymptotically and brief extracts from same to provide context of its use in English literature.
1
Identification of linear systems by an asymptotically stable ...
REPORT DATE 3. REPORT TYPE AND DATES COVERED June 1992 Technical Paper 4. TITLE AND SUBTITLE 5. FUNDING NUMBERS Identification of Linear Systems by an Asymptotically Stable Observer WU 590-14-61-01 6. AUTHOR(S)  ...
Minh Q. Phan, 1992
2
Asymptotically Efficient Estimates of the Parameters of a ...
The thesis is concerned with the estimation of the parameters of a moving average time series, (x sub t, t= 0, plus or minus 1, plus or minus 2 ...), of order M. By definition, such a series has the representation x sub t = (eta sub t) + (b ...
Marshall Lawrence Clevenson, 1970
3
Mathematical Methods for Scientists and Engineers
An (asymptotically stable) improper node; 17. (a) Saddle point, (b) Node, (c) Spiral point. Section 13.3 1. A stable proper node; 2. An asymptotically stable improper node; 3. A saddle point (unstable); 4. An asymptotically stable node; 5.
Donald Allan McQuarrie, 2003
4
Mathematical Statistics
A maximum-likelihood estimator 9* is asymptotically R-efficient. In addition, 9* is asymptotically efficient in Kq. Proof. The fact that 9* is an asymptotically R- efficient estimator follows directly from Definition 26 and the fact that Asymptotic ...
A A Borokov, 1999
5
Global Properties of Asymptotically de Sitter and Anti de ...
On the other hand, the second half of this thesis deals with spacetimes with timelike boundary.
Didier Adan Solis, 2006
6
Variational Analysis:
X. Likewise, it is asymptotically equicontinuous when it is both asymptotically equi-isc and asymptotically equi-osc. Any sequence of mappings that is equicontinuous at x is in particular asymptotically equicontinuous at x, of course.
R. Tyrrell Rockafellar, 1998
7
Advance Discrete Structure
Example 22 Let a and b be two numeric functions such that ar = 2r + 3, r ≥ 0 3__ and br= r + 5, r ≥ 0 Show that a dominates b asymptotically. 2__ Solution If we take k = 3 and n = 5 This shows that numeric function a asymptotically dominates  ...
C. B. Gupta, Sandeep Kumar, S. R. Singh, 2010
8
On the Variational Principles for Asymptotically Flat and ...
Recent work has shown that the addition of an appropriate covariant boundary term to the gravitational action yields a well-defined variational principle for asymptotically flat spacetimes and thus leads to a natural definition of conserved ...
Amitabh Virmani, 2008
9
Coding, Cryptography And Combinatorics
2004 Birkhauser Verlag Basel/Switzerland Modularity of Asymptotically Optimal Towers of Function Fields Wen-Ching Winnie Li Abstract. Elkies conjectures that all recursively defined asymptotically optimal towers of function fields over finite ...
Keqin Feng, Harald Niederreiter, Chaoping Xing, 2004
10
Matrix Mathematics: Theory, Facts, and Formulas with ...
Let A G Rnx" and B G Rmxm. Then, the following statements hold: i) If A and B are discrete-time (Lyapunov stable, semistable, asymptotically stable), then A <g > B is discrete-time (Lyapunov stable, semistable, asymptotically stable). ii) If A ...
Dennis S. Bernstein, 2005

10 NEWS ITEMS WHICH INCLUDE THE TERM «ASYMPTOTICALLY»

Find out what the national and international press are talking about and how the term asymptotically is used in the context of the following news items.
1
Fiber guiding at the Dirac frequency beyond photonic bandgaps
Because the amplitude of the Bessel function decays as 1/√r, the overall spatial dependence of the corresponding optical state asymptotically ... «Nature.com, Jun 15»
2
Why rare-earth mining in the West is a bust
Each, however, has a handsome website, enthusiastic profit projections, and a long-term stock chart that dives asymptotically toward sea level ... «High Country News, Jun 15»
3
Action, Camera, Lights
But as the capabilities of computer graphics asymptotically approach realism, Feinberg is careful to note that verisimilitude is neither Pixar's aim nor hers: ... «Harvard Magazine, Jun 15»
4
Did Mathematician John Nash Help Invent Bitcoin?
Asymptotically ideal money, a concept Nash studied in depth, focuses on the fluctuations and long-term perceived value of money, where the ... «CoinDesk, Jun 15»
5
Nkrumah Nkrumah, Wole Soyinka, & Kongi's Harvest (1)
The challenge which Boko Haram poses to the geopolitical integrity of the body politic of Nigeria pushes him asymptotically close to ... «GhanaWeb, Jun 15»
6
MBS Day Ahead: Fireside Chat on Mid 2015 Rate Drama
Either we're about half-way through a much bigger move--one that rivals 2013 or 2010--or we're asymptotically approaching some sort of ... «Mortgage News Daily, Jun 15»
7
An accurate test for homogeneity of odds ratios based on Cochran …
... are logarithms of odds ratios, the chi-square distribution is much too conservative for moderate size studies, although it may be asymptotically ... «7thSpace Interactive, Jun 15»
8
Complete temporal characterization of a single photon
are optimized by pairwise unitary transformations. The process is repeated until the cost function asymptotically converges to give the best fit of ... «Nature.com, Jun 15»
9
Increased robustness of early embryogenesis through collective …
is a sigmoid function that has 0 value at x = 0, increases to 0.5 at x = s, and asymptotically approaches 1 at the large values of x. It resembles ... «BMC Blogs Network, Jun 15»
10
Would you pass the chemistry GCSE? Take our refresher course
... the probability of someone singing The Elementstends (to borrow a phrase you hear at all the best chemistry parties) asymptotically to one. «The Times, Jun 15»

REFERENCE
« EDUCALINGO. Asymptotically [online]. Available <https://educalingo.com/en/dic-en/asymptotically>. Apr 2024 ».
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