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  "body": "\n## Summary\n\nA [[stochastic process|0QH5ENKZM1]] is adapted to a [[filtration|HNK1Y62G7V]] when its value at each time is determined by the information available at that time.\nAdapted processes cannot see the future.\nAdaptedness is part of the definition of a [[martingale|0D0GBNDKDH]] and of the stochastic integral, where the integrand must not anticipate the noise.\n\n## Explanations\n\n### L1 human\n\nThink of a gambler who chooses each bet using only the results seen so far.\nThe gambler's fortune over time is an adapted process: at every moment it depends only on the past and present.\nA strategy that peeks at the next coin toss is not adapted.\nEvery process is adapted to its own history, called its natural filtration.\n",
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