5min chapter

Lex Fridman Podcast cover image

Vladimir Vapnik: Predicates, Invariants, and the Essence of Intelligence

Lex Fridman Podcast

CHAPTER

Convergence in Functions

Strong convergence is convergence in function. If integral from square difference between them is small, that's the definition of strong convergence. It requires that it converge for any function of Hilbert space. For example, if you will take sine or cosine, it is coefficient of say Fourier expansion. So under some condition, it converges to function you're looking for. But this convergence means any property. Convergence not point wise, but integral property of function.

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