Definition of Jacobian - Reverso English Dictionary

Noun

mathematics

TECH.

matrix of all first-order partial derivatives of a vector-valued function

TECH.

The Jacobian matrix was used to determine the function's behavior near critical points..
Calculating the Jacobian is essential in multivariable calculus.
The Jacobian helps in transforming coordinates in vector fields.

determinant

matrix

tensor

Add a suggestion |

Feedback:

Expressions with Jacobian

💡 Discover popular phrases, idioms, collocations, or phrasal verbs. Click any expression to learn more, listen to its pronunciation, or save it to your favorites.

Jacobian determinant

function that describes the rate of change

The Jacobian determinant helps in changing variables in integrals.

Origin of Jacobian

Named after Carl Gustav Jacob Jacobi, a mathematician

View all translations of Jacobian

✨Click below to see the appropriate translations facing each meaning.

French:jacobienne, ...
German:Jacobi-Matrix, ...
Italian:Jacobiana, ...
Spanish:jacobiana, ...
Portuguese:matriz Jacobian, ...
Chinese:雅可比矩阵, ...
Japanese:ヤコビ行列, ...
Arabic:يعقوبي, ...
Hebrew:יָקוֹבִּיאַן, ...
Russian:Якобиан, ...
Ukrainian:Якобі, ...
Hindi:जैकॉबियन मैट्रिक्स, ...
Bengali:জ্যাকোবিয়ান, ...
Catalan:matriu Jacobiana, ...
Czech:Jacobiho matice, ...
Danish:Jacobian-matrix, ...
Dutch:Jacobiaan, ...
Greek:Ιακωβιανός, ...
Hungarian:Jacobi-mátrix, ...
Khmer:ម៉ាទ្រីសយ៉ាកូប៊ី, ...
Korean:야코비안, ...
Persian:ژاکوبی, ...
Polish:Jakobian, ...
Portuguese (BR):matriz Jacobiana, ...
Romanian:matricea Jacobiană, ...
Swedish:Jakobimatris, ...
Thai:จาโคเบียน, ...
Turkish:Jacobian matrisi, ...
Vietnamese:ma trận Jacobian, ...

Discover how Reverso redefines the dictionary

Go beyond “simple words”

100,000 expressions & idioms Understand any expression you come across: from corporate jargon like 💬 touch base or ↩️ circle back to everyday expressions such as 🌊 out of the blue or 🦆 lame duck, as well as idioms like 🍲 spill the beans and 🐎 hold your horses.

40,000 images When you search for a concrete noun or object, images help you grasp the meaning at a glance. Try searching for 🧵 puppytooth, 🎠 merry-go-round, ⚜️ fleur-de-lys, or 💤 bunk bed.

Informal language & slang Everyday conversations are packed with informal expressions and slang. Meanings are clearly tagged, so you'll always know when a word is casual. Look up hangry (😋 hungry + 😡 angry), 😎 rizz, 🕹️ noob, or 🔑 low-key.

Abbreviations & acronyms Quickly decode modern abbreviations and acronyms. Go from IDK to OMG in seconds and stay up to date with popular abbreviations such as 🐐 GOAT, 📜 tl;dr, 👀 POV, or 🖥️ AFK.

Regional usage (US / UK) Reverso highlights regional differences between American and British English. You’ll never have to wonder where a word is commonly used: try lift vs. elevator, courgette vs. zucchini, or popular British slang like dodgy or banter. What’s more, when you search for 'color', you’ll immediately see its British counterpart, 'colour'.

Get more than a simple definition

Translations for each meaning View translations alongside each meaning to see how a word is translated in each context. Simply toggle translations ON and choose among 25+ languages. You can also display the translation of definitions or examples into your native language to deepen your understanding.

Synonyms & related words by meaning View synonyms and related words for each meaning, not just for the word as a whole. This helps you choose the most accurate word for your context. Click the

icon to discover related terms: analogies, antonyms, common collocates, words with same roots, umbrella terms… Try with happening or hunch.

Multiple examples for every meaning Each meaning comes with three real-life examples to show you how the word is used in different contexts. Click the

icon next to the first example to see two additional options and learn to use new vocabulary naturally.

Go from understanding to mastery

Save words for later review Click the

icon to save words you want to revisit. You can also save a specific meaning by clicking on the

icon next to it. For example, you might want to save the word “table” as a verb, which means “to postpone”.

Practice with personalized flashcards Reverso automatically transforms your searches and saved words into personalized flashcards and quizzes, featuring high-quality audio and usage examples. This helps you transform terms you only recognize into words you actually use confidently.

Learn with Netflix, YouTube, and your favorite texts With Reverso Chrome extension, transform movies, TV shows, articles, or song lyrics into an interactive lesson. Look up words and expressions in one click on any website and learn with your favorite content.