Definition:Derivation

Disambiguation

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Derivation may refer to:

Manifold theory

Another name for a tangent vector:

A tangent vector $X_m$ on $M$ at $m$ is a linear transformation:

$X_m: \map {C^\infty} {V, \R} \to \R$

which satisfies the Leibniz law:

$\ds \map {X_m} {f g} = \map {X_m} f \map g m + \map f m \map {X_m} g$

Logic

Another name for a proof:

A proof is a valid argument whose premises are all true.

Hence a valid argument that has one or more false premises is not a proof.