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Meaning of "hyperbolic secant" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF HYPERBOLIC SECANT

hyperbolic secant  [ˌhaɪpəˈbɒlɪk ˈsiːkənt] play
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GRAMMATICAL CATEGORY OF HYPERBOLIC SECANT

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Hyperbolic secant is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES HYPERBOLIC SECANT MEAN IN ENGLISH?

hyperbolic secant

Hyperbolic function

In mathematics, hyperbolic functions are analogs of the ordinary trigonometric, or circular, functions. The basic hyperbolic functions are the hyperbolic sine "sinh", and the hyperbolic cosine "cosh" /ˈkɒʃ/, from which are derived the hyperbolic tangent "tanh", hyperbolic cosecant "csch" or "cosech" /ˈkoʊʃɛk/ or /ˈkoʊsɛtʃ/, hyperbolic secant "sech" /ˈʃɛk/ or /ˈsɛtʃ/, and hyperbolic cotangent "coth" /ˈkoʊθ/ or /ˈkɒθ/, corresponding to the derived trigonometric functions. The inverse hyperbolic functions are the area hyperbolic sine "arsinh" and so on. Just as the points form a circle with a unit radius, the points form the right half of the equilateral hyperbola. The hyperbolic functions take a real argument called a hyperbolic angle. The size of a hyperbolic angle is the area of its hyperbolic sector. The hyperbolic functions may be defined in terms of the legs of a right triangle covering this sector.

Definition of hyperbolic secant in the English dictionary

The definition of hyperbolic secant in the dictionary is a hyperbolic function that is the reciprocal of cosh; sech.

WORDS THAT RHYME WITH HYPERBOLIC SECANT


applicant
ˈæplɪkənt
clinquant
ˈklɪŋkənt
communicant
kəˈmjuːnɪkənt
coruscant
kɒˈrʌskənt
cosecant
kəʊˈsiːkənt
dedicant
ˈdɛdɪkənt
desiccant
ˈdɛsɪkənt
exsecant
eksˈsiːkənt
fabricant
ˈfæbrɪkənt
insignificant
ˌɪnsɪɡˈnɪfɪkənt
intoxicant
ɪnˈtɒksɪkənt
lubricant
ˈluːbrɪkənt
mendicant
ˈmɛndɪkənt
nonsignificant
ˌnɒnsɪɡˈnɪfɪkənt
piquant
ˈpiːkənt
secant
ˈsiːkənt
significant
sɪɡˈnɪfɪkənt
supplicant
ˈsʌplɪkənt
toxicant
ˈtɒksɪkənt
vacant
ˈveɪkənt

WORDS THAT BEGIN LIKE HYPERBOLIC SECANT

hyperbatically
hyperbaton
hyperbola
hyperbolae
hyperbole
hyperbolic
hyperbolic cosecant
hyperbolic cosine
hyperbolic cotangent
hyperbolic function
hyperbolic sine
hyperbolic spiral
hyperbolical
hyperbolically
hyperbolise
hyperbolism
hyperbolist
hyperbolize
hyperboloid
hyperboloidal

WORDS THAT END LIKE HYPERBOLIC SECANT

abdicant
Alacant
alicant
cant
complicant
decant
descant
discant
hyperbolic cosecant
incant
job applicant
peccant
predicant
prejudicant
provocant
recant
scant
Tradescant
urticant
vesicant

Synonyms and antonyms of hyperbolic secant in the English dictionary of synonyms

SYNONYMS

Translation of «hyperbolic secant» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF HYPERBOLIC SECANT

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

Translator English - Chinese

双曲正割
1,325 millions of speakers

Translator English - Spanish

secante hiperbólica
570 millions of speakers

English

hyperbolic secant
510 millions of speakers

Translator English - Hindi

अतिशयोक्तिपूर्ण छेदक
380 millions of speakers
ar

Translator English - Arabic

القاطع القطعي
280 millions of speakers

Translator English - Russian

гиперболический секанс
278 millions of speakers

Translator English - Portuguese

secante hiperbólica
270 millions of speakers

Translator English - Bengali

হাইপারবোলিক সেকান্ট
260 millions of speakers

Translator English - French

sécante hyperbolique
220 millions of speakers

Translator English - Malay

Secant hiperbolik
190 millions of speakers

Translator English - German

Hyperbelsekans
180 millions of speakers

Translator English - Japanese

双曲線正割
130 millions of speakers

Translator English - Korean

쌍곡선 시컨트
85 millions of speakers

Translator English - Javanese

Hyperbolic secant
85 millions of speakers
vi

Translator English - Vietnamese

cát tuyến hyperbolic
80 millions of speakers

Translator English - Tamil

அதிபரவளைய பாதுகாவலர்
75 millions of speakers

Translator English - Marathi

अतुल्य सेकंद
75 millions of speakers

Translator English - Turkish

Hiperbolik sekant
70 millions of speakers

Translator English - Italian

secante iperbolica
65 millions of speakers

Translator English - Polish

sieczny hiperboliczny
50 millions of speakers

Translator English - Ukrainian

гіперболічний секанс
40 millions of speakers

Translator English - Romanian

secantă hiperbolic
30 millions of speakers
el

Translator English - Greek

υπερβολική τέμνουσας
15 millions of speakers
af

Translator English - Afrikaans

hiperboliese snylyn
14 millions of speakers
sv

Translator English - Swedish

hyperbolisk sekant
10 millions of speakers
no

Translator English - Norwegian

hyperbolsk secant
5 millions of speakers

Trends of use of hyperbolic secant

TRENDS

TENDENCIES OF USE OF THE TERM «HYPERBOLIC SECANT»

The term «hyperbolic secant» is used very little and occupies the 173.974 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Rarely used
19
/100
The map shown above gives the frequency of use of the term «hyperbolic secant» in the different countries.
Principal search tendencies and common uses of hyperbolic secant
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «hyperbolic secant».

FREQUENCY OF USE OF THE TERM «HYPERBOLIC SECANT» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «hyperbolic secant» during the past 500 years. Its implementation is based on analysing how often the term «hyperbolic secant» 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 hyperbolic secant

EXAMPLES

10 ENGLISH BOOKS RELATING TO «HYPERBOLIC SECANT»

Discover the use of hyperbolic secant in the following bibliographical selection. Books relating to hyperbolic secant and brief extracts from same to provide context of its use in English literature.
1
Gradient-Index Optics: Fundamentals and Applications
I. There is another GRIN medium with focusing and collimation properties. It is characterized by a hyperbolic secant profile (hereafter referred to as HS) that presents the following advantages in comparison with the parabolic one [6.2-6.5]. First ...
C. Gomez-Reino, M.V. Perez, Carmen Bao, 2002
2
Diffractive Nanophotonics
It is known that the gradient medium with the radial dependence of the refractive index in the form of a hyperbolic secant, proposed in [14], is used for self-focusing of laser radiation. The gradient lens with such refractive index collects all the ...
Victor A Soifer, 2014
3
A Physicist's Guide to Mathematica
... hyperbolic secant ArcSech@xD inverse hyperbolic secant ...
Patrick T. Tam, 2011
4
Numerical Methods in Biomedical Engineering
... of argument in degrees. sech - Hyperbolic secant. asec - Inverse secant. asecd - Inverse secant, result in degrees. asech - Inverse hyperbolic secant. csc - Cosecant. cscd - Cosecant of argument in degrees. csch - Hyperbolic cosecant. acsc ...
Stanley Dunn, Alkis Constantinides, Prabhas V. Moghe, 2005
5
Introduction to Elementary Computational Modeling: Essential ...
... Inverse cotangent; in degrees Inverse hyperbolic cotangent Inverse cosecant; in radians Inverse cosecant; in degrees Inverse hyperbolic cosecant Inverse secant; in radians Inverse secant; in degrees Inverse hyperbolic secant Inverse sine; ...
Jose Garrido, 2011
6
Financial Modelling: Theory, Implementation and Practice ...
... degrees Inverse hyperbolic cotangent Inverse cosecant; result in radians Inverse cosecant;resultin degrees Inverse hyperbolic cosecant Inverse secant; result in radians Inverse secant;resultin degrees Inverse hyperbolic secant Inverse sine; ...
Joerg Kienitz, Daniel Wetterau, 2012
7
Handbook of Mathematics
... hyperbolic secant cosech hyperbolic cosecant Arsinh area{hyperbolic sine Arcosh area{hyperbolic cosine Artanh area{hyperbolic tangent Arcoth area{ hyperbolic cotangent Arsech area{hyperbolic secant Arcosech area{hyperbolic cosecant ...
I.N. Bronshtein, K.A. Semendyayev, Gerhard Musiol, 2007
8
Fluid Dynamics: Theory, Computation, and Numerical Simulation
... Inverse hyperbolic cosine acot Inverse cotangent acoth Inverse hyperbolic cotangent acsc Inverse cosecant acsch Inverse hyperbolic cosecant angle Phase angle asec Inverse secant asech Inverse hyperbolic secant asin Inverse sine asinh ...
Constantine Pozrikidis, 2009
9
An Atlas of Functions: with Equator, the Atlas Function ...
Some authors admit only four hyperbolic functions, using 1/cosh(x) and 1/sinh(x) to represent the hyperbolic secant and cosecant. 29:2 BEHAVIOR Figure 29-1 provides maps of the two functions. The hyperbolic secant sech(x) accepts any ...
Keith B. Oldham, Jan Myland, Jerome Spanier, 2010
10
The Theory of Dispersion Models
Some generalized hyperbolic secant density functions. Let GHS(/x,cr2) denote the reproductive version of the generalized hyperbolic secant model, where /x = tan# is the mean and cr2 = 1/A the dispersion parameter. The density function is A ...
Bent Jorgensen, 1997

NEWS ITEMS WHICH INCLUDE THE TERM «HYPERBOLIC SECANT»

Find out what the national and international press are talking about and how the term hyperbolic secant is used in the context of the following news items.
1
Demonstration of electron acceleration in a laser-driven dielectric …
The resulting cross-correlation signal follows a hyperbolic secant squared (sech2) pattern as expected based on the laser pulse profile ... «Nature.com, Sep 13»

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