What does "jacobian" mean?
A Jacobian matrix or its associated operator.
Jacobian
/jɑːˈkəʊ.bi.ən/ adj, noun
adj, noun ·Rare ·Advanced level
Meaning at a glance
- Primary sense: A Jacobian matrix or its associated operator.
- Grammar: jacobian is listed as adj, noun.
- Usage evidence: The Jacobian matrix has partial derivatives as its entries.
How to use "jacobian"
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Meaning check
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Source and review context
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Before you rely on this definition
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Definition decision workflow
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Definitions
Noun
- 1 A Jacobian matrix or its associated operator.
"As a demonstration, we first establish the correctness of the Jacobian matrices for kinetic models of hydrogen, methane, ethylene, and isopentanol oxidation, then demonstrate the performance achievable on CPUs and GPUs using pyJac via matrix evaluation timing comparisons.."
- 2 Alternative letter-case form of Jacobian. alt-of
- 3 The determinant of such a matrix.
"In terms of per-bit security, elliptic curves and Jacobians of genus 2 curves appear to be roughly equivalent. However, when it comes to efficient and side-channel-aware implementations, we see a curious divergence."
Adjective
- 1 Used to specify certain mathematical objects named in honour of C. G. J. Jacobi. not-comparable
"The Jacobian matrix has partial derivatives as its entries."
- 2 Of or relating to the biblical Jacob.
- 3 Alternative letter-case form of Jacobian. alt-of, not-comparable
Example
"The Jacobian matrix has partial derivatives as its entries."
Common questions
How do you use "jacobian" in a sentence?
The Jacobian matrix has partial derivatives as its entries.
How do you pronounce "jacobian"?
Pronounced /jɑːˈkəʊ.bi.ən/.
Etymology
Etymology 1
From Jacobi + -an, after Carl Gustav Jacob Jacobi, a German mathematician of the 19th century.
Etymology 2
From Jacob + -ian.