This **crossword clue** is for the definition: *Push forward.*

it’s A 12 letters **crossword puzzle definition**.

Next time, when searching for online help with your puzzle, try using the search term “Push forward crossword” or “Push forward crossword clue”. The possible answerss for Push forward are listed below.

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## Possible Answers: **IMPEL**.

Last seen on: LA Times Crossword 28 Oct 18, Sunday

### Random information on the term “Push forward”:

Suppose that φ : M → N is a smooth map between smooth manifolds; then the differential of φ at a point x is, in some sense, the best linear approximation of φ near x. It can be viewed as a generalization of the total derivative of ordinary calculus. Explicitly, it is a linear map from the tangent space of M at x to the tangent space of N at φ(x). Hence it can be used to push tangent vectors on M forward to tangent vectors on N.

The differential of a map φ is also called, by various authors, the derivative or total derivative of φ, and is sometimes itself called the pushforward.

Let φ : U → V be a smooth map from an open subset U of Rm to an open subset V of Rn. For any point x in U, the Jacobian of φ at x (with respect to the standard coordinates) is the matrix representation of the total derivative of φ at x, which is a linear map

We wish to generalize this to the case that φ is a smooth function between any smooth manifolds M and N.

Let φ : M → N be a smooth map of smooth manifolds. Given some x ∈ M, the differential of φ at x is a linear map