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Meaning of "coth" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD COTH

From cot(angent) + h(yperbolic).
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Etymology is the study of the origin of words and their changes in structure and significance.
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PRONUNCIATION OF COTH

coth  [kɒθ] play
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GRAMMATICAL CATEGORY OF COTH

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Coth 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 COTH MEAN IN ENGLISH?

coth

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 coth in the English dictionary

The definition of coth in the dictionary is hyperbolic cotangent; a hyperbolic function that is the ratio of cosh to sinh, being the reciprocal of tanh.

WORDS THAT BEGIN LIKE COTH

coteau
cotelette
coteline
cotemporaneous
cotemporary
cotenancy
cotenant
coterie
coterminous
coterminously
cothurn
cothurnal
cothurni
cothurnus
coticular
cotidal
cotillion
cotillon
cotinga
cotinine

WORDS THAT END LIKE COTH

behemoth
Bluetooth
booth
both
broth
cloth
doth
Goth
long in the tooth
mammoth
moth
out of whole cloth
photo booth
Roth
sloth
smooth
sweet tooth
tablecloth
the cloth
tooth

Synonyms and antonyms of coth in the English dictionary of synonyms

SYNONYMS

Translation of «coth» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF COTH

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

Translator English - Chinese

coth
1,325 millions of speakers

Translator English - Spanish

coth
570 millions of speakers

English

coth
510 millions of speakers

Translator English - Hindi

coth
380 millions of speakers
ar

Translator English - Arabic

coth
280 millions of speakers

Translator English - Russian

COTH
278 millions of speakers

Translator English - Portuguese

coth
270 millions of speakers

Translator English - Bengali

COTH
260 millions of speakers

Translator English - French

coth
220 millions of speakers

Translator English - Malay

Coth
190 millions of speakers

Translator English - German

coth
180 millions of speakers

Translator English - Japanese

COTH
130 millions of speakers

Translator English - Korean

coth
85 millions of speakers

Translator English - Javanese

Coth
85 millions of speakers
vi

Translator English - Vietnamese

coth
80 millions of speakers

Translator English - Tamil

COTH
75 millions of speakers

Translator English - Marathi

कोथ
75 millions of speakers

Translator English - Turkish

Coth
70 millions of speakers

Translator English - Italian

coth
65 millions of speakers

Translator English - Polish

coth
50 millions of speakers

Translator English - Ukrainian

COTH
40 millions of speakers

Translator English - Romanian

coth
30 millions of speakers
el

Translator English - Greek

Coth
15 millions of speakers
af

Translator English - Afrikaans

coth
14 millions of speakers
sv

Translator English - Swedish

coth
10 millions of speakers
no

Translator English - Norwegian

coth
5 millions of speakers

Trends of use of coth

TRENDS

TENDENCIES OF USE OF THE TERM «COTH»

The term «coth» is normally little used and occupies the 110.554 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Little used
48
/100
The map shown above gives the frequency of use of the term «coth» in the different countries.
Principal search tendencies and common uses of coth
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «coth».

FREQUENCY OF USE OF THE TERM «COTH» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «COTH»

Discover the use of coth in the following bibliographical selection. Books relating to coth and brief extracts from same to provide context of its use in English literature.
1
Handbook of Exact Solutions for Ordinary Differential Equations
103. y'£mm + a cothn(Ax)y;'x - b[2a coth"(Ax) + 3b\y'x + b2[a coth"(Ax) + 2b]y = 0. Particular solutions: y\=ebx, yi = xebx. 104. y'xxx + am coth"x yxx + (bx2 - a coth"x) y^. + bx(ax2 coth"x + 3)y = 0. Particular solutions: y\ =cos(jX2\/b), yi = sin(jx2\/b).
Valentin F. Zaitsev, Andrei D. Polyanin, 2002
2
Handbook of Mathematics for Engineers and Scientists
2.4.2. Properties. of. Hyperbolic. Functions. 2.4.2-1. Simplest relations. cosh2 x - sinh2 x = 1, sinh(-x) = -sinhx. sinh I tanh.r = , cosh x tanh(-x) = -tanh x, 1 - tanh" .r = cosh2 x tanh x coth x = 1 , cosh(-x) = cosh x, coshx cothx = — — — , sinhx ...
Andrei D. Polyanin, Alexander V. Manzhirov, 2006
3
COTH Survey of House Staff Stipends, Benefits, and Funding
USE OF REMOTE TRAINING SITES IN THE EDUCATION OF HOUSESTAFF ( Table 26) Table 26 offers information on the use of training sites that are remote from the responding COTH member institutions. Over three-fourths (236 institutions) ...
4
The Education of Catholic Americans:
0 1 2-4 Sor More Net '"dex All Some No All Some No All Some No A11 Some No 5 Opmm' Coth' Coth- Coth- Coth- Coth- Coth' Cath- Ccth- Coth- Coth- Coth- Coth- o 1 2-4 or °'“'“°' olic olic olic olic olic olic oiic olic oiic olic oiic oiic More ...
Andrew M. Greeley, Peter H. Rossi, 2013
5
Motion of Cylinders
where p (u coth mh - 1) (u coth mh' - 1) = p' (1 - u2). Solution: We know that c4m2 (p coth mh coth mh' + p') - c2 mgp ( coth mh + coth mh') + g2 (p -p') = 0 ...(1) Since c2 = (gm/m) => c2m = gu. ...(2) From (1) and (2), We have g2u2 (p coth mh ...
A.K. Sharma, 2008
6
Fluid Dynamics
... that the velocities of propagation of waves of length (2jt/m) are given by c2 = ( gu/m\ where p (u coth mh — 1) (u coth mh ' — 1) = p' (1 — u2\ Solution. We know that c*m2 (p coth mh coth mh ' + p') - c2mgp (coth mh + coth mh') + g2(p-p') = 0 .
Shanti Swarup, 1991
7
An Atlas of Functions: with Equator, the Atlas Function ...
and cosh() exp(2) 1 1 sinh() exp(2) 1 tanh() x x x x x coth() x 30:3:2 The hyperbolic tangent may be defined with respect to the shaded area ar serving as argument, the hyperbolic tangent is the length of the straight line connecting points R and ...
Keith B. Oldham, Jan Myland, Jerome Spanier, 2010
8
Handbook of Integral Equations: Second Edition
J a This is a special case of equation 4.9.1 with g(x) = coth(/3x) and h(t) = 1. y(x) -\ f coth(/3i)y(i) dt = f(x). J a This is a special case of equation 4.9.1 with g{x) = 1 and h(t) = coth(/3f). 42. y(x) - A [ [A coth(/3x) + B coth(/3t)]y(t) dt = f(x). J a This is a ...
Andrei D. Polyanin, Alexander V. Manzhirov, 2008
9
Handbook of Mathematics and Computational Science
(e) Reciprocal function The hyperbolic tangent and the hyperbolic cotangent are reciprocals of each other: 1 1 coth(jr) , — - — = tanh(jc) . tanh(jr) coth(.v) (f) Inverse function The inverse functions are the corresponding area functions. x ...
John W. Harris, Horst Stöcker, 1998
10
Handbook of First-Order Partial Differential Equations
+ a + b = c coth" ((3x)w. dx ay dz General solution: w = $(j/ - ax, z - bx) exp c / coth "(/3x) dx . dw dw dw r 2. a—— + &—— + ccoth(/3z) = \k coth(Ax) + s coth(-yy)]w. ox ay az General solution: w = |sinh(Ax)|*/aA|sinh(7y)|s/67<l>(ui,U2)> where u\ ...
Andrei D. Polyanin, Valentin F. Zaitsev, Alain Moussiaux, 2001

10 NEWS ITEMS WHICH INCLUDE THE TERM «COTH»

Find out what the national and international press are talking about and how the term coth is used in the context of the following news items.
1
Review, pictures and video: Concert On The Hill
One of the most popular features of COTH in the last couple of years has been the introduction of the Lindley Junior School Choir, and once ... «Huddersfield Examiner, Jul 15»
2
40 ways to celebrate the Fourth of July in Asheville area
For details, visit tryon.coth.com. Farther afield. • Andrews: This gathering promises food, music and fireworks at the Andrews Recreation Park, ... «Asheville Citizen-Times, Jun 15»
3
Arts & Entertainment
Visit www.stjohnnh.org/COTH. Local pop/singer-songwriter Lizzy Marella, a graduate of Heronfield Academy in Hampton Falls, will be ... «Foster's Daily Democrat, Jun 15»
4
'Free Radicals' next in the Concerts on the Hill series
... Episcopal Church is located at 100 Chapel St. For information about Concerts on the Hill or the church, visit www.stjohnsnh.org/COTH. «Seacoastonline.com, Jun 15»
5
Portsmouth area religious services
For information about Concerts on the Hill or St. John's Episcopal Church, visit www.stjohnsnh.org/COTH. Church breakfasts & suppers. Dover. «Seacoastonline.com, Jun 15»
6
Missoula roots planted in year of turbulence, milestones
... and a glimpse of trader/rancher Malcolm Clarke through the eyes of his Piegan wife Coth-co-co-na. Molly Sheehan, who would become Mary ... «Ravalli Republic, Jun 15»
7
MMC joins 3rd global Climb Out of the Darkness
To learn more about Climb Out of the Darkness, visit http://postpartumprogress.org/climb-out-of-the-darkness/coth-faq/. To learn more about the ... «Asbury Park Press, Jun 15»
8
2015 Mazda 2 Neo Review
... faux carbonfibre inserts, bright silver trim accents and the very comfortable and supportive coth seats. Reminiscent of the inside of a wetsuit to ... «CarAdvice, Jun 15»
9
Applications being accepted for new Charity Challenge of the …
... apply and select the “Great Charity Challenge” from the main menu or click on the following link. http://tryon.coth.com/directory/Add/Charities. «Greenville News, May 15»
10
Concert Series Starts May 24 with 'Weep No More'
St. John's Episcopal Church is located at 100 Chapel Street in Portsmouth, NH. For more information, please visit www.stjohnsnh.org/COTH. «Patch.com, May 15»

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