Definition:Derivation
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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.