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Meaning of "Jacobian" in the English dictionary

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DICTIONARY
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ETYMOLOGY OF THE WORD JACOBIAN

Named after Karl Gustav Jacob Jacobi (1804–51), German mathematician.
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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 JACOBIAN

Jacobian  [dʒəˈkəʊbɪən] play
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GRAMMATICAL CATEGORY OF JACOBIAN

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Jacobian 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 JACOBIAN MEAN IN ENGLISH?

Definition of Jacobian in the English dictionary

The definition of Jacobian in the dictionary is a function from n equations in n variables whose value at any point is the n x n determinant of the partial derivatives of those equations evaluated at that point.


WORDS THAT RHYME WITH JACOBIAN


Albion
ˈælbɪən
amphibian
æmˈfɪbɪən
Arabian
əˈreɪbɪən
Colombian
kəˈlɒmbɪən
Columbian
kəˈlʌmbɪən
Fabian
ˈfeɪbɪən
Gambian
ˈɡæmbɪən
Gibeon
ˈɡɪbɪən
Gobian
ˈɡəʊbɪən
Jacobean
ˌdʒækəˈbɪən
lesbian
ˈlɛzbɪən
Libyan
ˈlɪbɪən
macrobian
məkˈrəʊbɪən
microbian
maɪˈkrəʊbɪən
Namibian
nɑːˈmɪbɪən
Niobean
naɪˈəʊbɪən
Nubian
ˈnjuːbɪən
Serbian
ˈsɜːbɪən
Swabian
ˈsweɪbɪən
Zambian
ˈzæmbɪən

WORDS THAT BEGIN LIKE JACOBIAN

Jacob
Jacob sheep
Jacob´s ladder
Jacob´s staff
Jacobean
Jacobi
Jacobian determinant
Jacobin
Jacobinic
Jacobinical
Jacobinically
Jacobinism
Jacobite
Jacobite Rebellion
Jacobitic
Jacobitism
Jacobsen
jacobus
jaconet
Jacopo della Quercia

WORDS THAT END LIKE JACOBIAN

Adrian
Asian
Australian
Brazilian
Brian
British Columbian
Canadian
Christian
Danubian
hasbian
Hungarian
Indian
Indonesian
Italian
lipstick lesbian
pre-Columbian
Russian
Saudi Arabian
Sorbian
South Arabian

Synonyms and antonyms of Jacobian in the English dictionary of synonyms

SYNONYMS

Translation of «Jacobian» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF JACOBIAN

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

Translator English - Chinese

雅可比
1,325 millions of speakers

Translator English - Spanish

Jacobian
570 millions of speakers

English

Jacobian
510 millions of speakers

Translator English - Hindi

Jacobian
380 millions of speakers
ar

Translator English - Arabic

مصفوفه جاكوبي
280 millions of speakers

Translator English - Russian

Якоби
278 millions of speakers

Translator English - Portuguese

Jacobiana
270 millions of speakers

Translator English - Bengali

Jacobian
260 millions of speakers

Translator English - French

jacobienne
220 millions of speakers

Translator English - Malay

Jacobian
190 millions of speakers

Translator English - German

Jacobi-
180 millions of speakers

Translator English - Japanese

ヤコビアン
130 millions of speakers

Translator English - Korean

코비
85 millions of speakers

Translator English - Javanese

Yakub
85 millions of speakers
vi

Translator English - Vietnamese

Jacobian
80 millions of speakers

Translator English - Tamil

இயக்கோபியன்
75 millions of speakers

Translator English - Marathi

जाकोबियन
75 millions of speakers

Translator English - Turkish

Jakobyan
70 millions of speakers

Translator English - Italian

Jacobiano
65 millions of speakers

Translator English - Polish

jakobian
50 millions of speakers

Translator English - Ukrainian

Якобі
40 millions of speakers

Translator English - Romanian

Jacobian
30 millions of speakers
el

Translator English - Greek

Jacobian
15 millions of speakers
af

Translator English - Afrikaans

Jakobiaan
14 millions of speakers
sv

Translator English - Swedish

Jacobian
10 millions of speakers
no

Translator English - Norwegian

Jacobian
5 millions of speakers

Trends of use of Jacobian

TRENDS

TENDENCIES OF USE OF THE TERM «JACOBIAN»

The term «Jacobian» is regularly used and occupies the 81.895 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
62
/100
The map shown above gives the frequency of use of the term «Jacobian» in the different countries.
Principal search tendencies and common uses of Jacobian
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «Jacobian».

FREQUENCY OF USE OF THE TERM «JACOBIAN» OVER TIME

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

EXAMPLES

10 ENGLISH BOOKS RELATING TO «JACOBIAN»

Discover the use of Jacobian in the following bibliographical selection. Books relating to Jacobian and brief extracts from same to provide context of its use in English literature.
1
Polynomial Automorphisms: And the Jacobian Conjecture
At the end of the book there are appendices to cover used material from algebra, algebraic geometry, D-modules and Gröbner basis theory. A long list of ''strong'' examples and an extensive bibliography conclude the book.
Arno van den Essen, 2000
2
Modelling and Control of Robot Manipulators
This mapping is described by a matrix, termed geometric Jacobian, which depends on the manipulator configuration. Alternatively, if the end-effector location is expressed with reference to a minimal representation in the operational space, it is ...
Lorenzo Sciavicco, Bruno Siciliano, 2000
3
Jacobian Elliptic Functions
This is a reproduction of a book published before 1923.
Eric Harold Neville, 2011
4
Power System Harmonic Analysis
There are two methods for obtaining the Jacobian elements; numerical partial differentiation, and the evaluation of analytically derived expressions for the partial derivatives. The numerical method is used here to validate the analytic ...
J. Arrillaga, 1997
5
The Implicit Function Theorem: History, Theory, and Applications
The Jacobian matrix plays the same role in calculus of several variables as the first derivative (a 1 x 1 matrix) does in the calculus of one variable. In particular, the C l mapping G is well approximated near p by its Jacobian matrix DG(p).
Steven G. Krantz, Harold R. Parks, 2012
6
Jacobian Elliptic and Other Functions as Approximate ...
Research is concerned with grossly non-linear systems, the characteristics of which are lost in the process of linearization or quasi-linearization.
Avrom Chaim Soudack, Stanford University. Stanford Electronics Laboratories, 1961
7
Advances in Robot Kinematics: Motion in Man and Machine: ...
We derive a class of dynamic Jacobian inverses of mobile manipulator kinematics based on the Wa ̇zewski inequality. It is shown that all right Jacobian inverses, as well as the adjoint Jacobian, the adjugate dexterity matrix, and the ...
Jadran Lenarcic, Jadran Lenarčič, Michael M. Stanisic, 2010
8
Robotics: Modelling, Planning and Control
This mapping is described by a matrix, termed geometric Jacobian, which depends on the manipulator configuration. Alternatively, if the end-effector pose is expressed with reference to a minimal representation in the operational space, it is ...
Bruno Siciliano, Lorenzo Sciavicco, Luigi Villani, 2009
9
Tata Lectures on Theta, 2: Jacobian Theta Functions and ...
The second in a series of three volumes surveying the theory of theta functions, this volume gives emphasis to the special properties of the theta functions associated with compact Riemann surfaces and how they lead to solutions of the ...
David Mumford, 1984
10
Encyclopedia of Computer Science and Technology: Volume 26 - ...
Inverse Jacobian Problem The inverse Jacobian problem can be stated as: Given the linear and angular velocity vector of the manipulator end-effector in the Cartesian space, find the corresponding joint rates. The most direct method of ...
Allen Kent, James G. Williams, 1992

10 NEWS ITEMS WHICH INCLUDE THE TERM «JACOBIAN»

Find out what the national and international press are talking about and how the term Jacobian is used in the context of the following news items.
1
Network motifs emerge from interconnections that favour stability
Denote by J(x, t) = ∂xf(x, t) the Jacobian of system (4). Then contraction is equivalent to the existence of a matrix measure μ such that μ(J(x, t)) ≤ −α, for all and t ... «Nature.com, Jul 15»
2
Wardrobe Theory: The Powerful Fashion of Dishonored's Women
While you probably won't be able to find anything that mimics the near-Jacobian ruff that Jessamine sports, you can definitely up your ... «Paste Magazine, Jul 15»
3
Eynsham Hall is nominated for 'world's most romantic venue' prize
Its well-heeled patrons include David and Samantha Cameron, who have been known to frequent the Jacobian mansion for weekend ... «Oxford Mail, Jul 15»
4
Hayley Leitch reveals how crippling OCD nearly drove her to suicide
In the programme Hayley is sent to a 17th century Jacobian mansion, which inside is thick with dust and overrun with pats including 12 cats and ... «Daily Mail, Jun 15»
5
Distinguishing the rates of gene activation from phenotypic variations
J (α,t) is the Jacobian of c (α,x (t)), and σ (t) is the covariance matrix of the system. Thus, given α=0 or 1, the dynamics of the system can be well ... «BMC Blogs Network, Jun 15»
6
Unlocking the Potential in Toronto's Suburban Highrises
As developers looked to build yet more housing for a mobile, upper-middle class that wanted a more Jacobian set of assets (walkable, ... «CityLab, Jun 15»
7
Finding the positive feedback loops underlying multi-stationarity
It is built from the Jacobian matrix Jf(x∗) of f evaluated at a point x∗, such that the non-zero entries of Jf(x∗) correspond to directed edges of the ... «BMC Blogs Network, May 15»
8
Electromagnetic Detection of a Perfect Carpet Cloak
where the positive (negative) sign applies to ( ) and is the Jacobian transformation matrix. Because the trajectory of the current in the virtual ... «Nature.com, May 15»
9
Local-to-remote cortical connectivity in early- and adulthood-onset …
Four nuisance (not relevant) variables including meanFD, minimal cost of the BBR, Jacobian values of white surface transformation and global ... «Nature.com, May 15»
10
Do You Remember Your Favorite Teacher? These Six Greenwich …
... space to explain complicated topics like gradient vector functions and matrixes for Jacobian derivatives,” Scharfman said of her math teacher. «Greenwich Free Press, May 15»

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