High Quality Content by WIKIPEDIA articles! In mathematics, specifically in the calculus of variations, the fundamental lemma in the calculus of variations is a lemma that is typically used to transform a problem from its weak formulation (variational form) into its strong formulation (differential equation). In other words, the test functions h (Ck functions vanishing at the endpoints) separate Ck functions: Ck[a,b] is a Hausdorff space in the weak topology of pairing against Ck functions that vanish at the endpoints.

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