Jacobian matrix

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

Wikidata entity: Q506041

P2534	defining formula	Math	$J 𝐟 (M) = (\begin{matrix} \frac{\partial f_{1}}{\partial x_{1}} (M) & \dots & \frac{\partial f_{1}}{\partial x_{n}} (M) \\ ⋮ & ⋱ & ⋮ \\ \frac{\partial f_{m}}{\partial x_{1}} (M) & \dots & \frac{\partial f_{m}}{\partial x_{n}} (M) \end{matrix})$	???
P1889	different from	...	Q1474543 (Jacobian determinant)	Jacobian determinant
P527	has part(s)	...	Q186475 (partial derivative)	partial derivative
P31	instance of	...	Q24034552 (mathematical concept)	mathematical concept
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q76564 (Carl Gustav Jacob Jacobi)	Carl Gustav Jacob Jacobi
P279	subclass of	...	Q44337 (matrix)	matrix

External Ids

P4746	Elhuyar ZTH ID	138341
P7554	Encyclopedia of Mathematics article ID	Jacobian
P646	Freebase ID	/m/01brkw
P3827	JSTOR topic ID (archived)	jacobians
P2812	MathWorld ID	Jacobian
P6366	Microsoft Academic ID (discontinued)	200331156
P4215	nLab ID	Jacobian
P7305	Online PWN Encyclopedia ID	3916374
P10283	OpenAlex ID	C200331156
P1051	PSH ID	7475
P3417	Quora topic ID	Jacobian
P10376	ScienceDirect topic ID	computer-science/jacobian-matrix
P10376	ScienceDirect topic ID	engineering/jacobian-matrix
P10376	ScienceDirect topic ID	mathematics/jacobi-matrix
P9621	Treccani's Enciclopedia della Matematica ID	matrice-jacobiana
P2347	YSO ID	29745

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