Alternative letter-case form of Jacobian. [(calculus) A Jacobian matrix or its associated operator.]
jacobian
Definitions, parts of speech, synonyms, and sentence examples for jacobian.
Editorial note
The jacobian is the matrix: [ -2x, 3y^2 ] This has rank 1 unless x and y are zero in which case it has rank zero.
Quick take
Alternative letter-case form of Jacobian. [(calculus) A Jacobian matrix or its associated operator.]
Meaning at a glance
The clearest senses and uses of jacobian gathered in one view.
Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
Of or relating to the biblical Jacob.
Definitions
Core meanings and parts of speech for jacobian.
noun
Alternative letter-case form of Jacobian. [(calculus) A Jacobian matrix or its associated operator.]
adjective
Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.
adjective
Of or relating to the biblical Jacob.
adjective
Alternative letter-case form of Jacobian. [Used to specify certain mathematical objects named in honour of C. G. J. Jacobi.]
Example sentences
The jacobian is the matrix: [ -2x, 3y^2 ] This has rank 1 unless x and y are zero in which case it has rank zero.
I've developed multi-atlas methods for segmentation, boundary shift integral (BSI) and Jacobian (TBM) for longitudinal atrophy computation, etc.
Jacob's Matrix is interesting because it actually displays a Jacobian matrix describing, somehow, the way that the pieces of the world are put together.
What this sentence is referring to is the vanishing of the Jacobian determinant [1] (which is defined using the derivatives of the defining equations).
Highlights include: - Hessian, Jacobian quartic, and Jacobian intersection curves, and derivation of respective fast addition and doubling formulas; they also comment on the value of unified addition formulas for simplicity.
I don't understand why jacobian just hates it so much.
Quote examples
They can also be defined more intrinsically, without picking a sink; look up the "Jacobian group" or "Picard group" of a graph.
- The "Montgomery" ladder for "x-only" Jacobian intersections: Peter Montgomery was directly influenced by this paper to produce his curves, and it is easy to see the resemblance.
Frequently asked questions
Short answers drawn from the clearest meanings and examples for this word.
How do you use jacobian in a sentence?
The jacobian is the matrix: [ -2x, 3y^2 ] This has rank 1 unless x and y are zero in which case it has rank zero.
What does jacobian mean?
Alternative letter-case form of Jacobian. [(calculus) A Jacobian matrix or its associated operator.]
What part of speech is jacobian?
jacobian is commonly used as noun, adjective.