Used in a Sentence

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.

Examples8
Definitions4
Parts of speech2

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.

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.

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

1

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.

2

I've developed multi-atlas methods for segmentation, boundary shift integral (BSI) and Jacobian (TBM) for longitudinal atrophy computation, etc.

3

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.

4

What this sentence is referring to is the vanishing of the Jacobian determinant [1] (which is defined using the derivatives of the defining equations).

5

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.

6

I don't understand why jacobian just hates it so much.

Quote examples

1

They can also be defined more intrinsically, without picking a sink; look up the "Jacobian group" or "Picard group" of a graph.

2

- 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.