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  "body": "\n## Summary\n\nThe Picard–Lindelöf hypotheses on a vector field are continuity in time, a Lipschitz condition in space and a bound near the initial point. They also ask for a short enough time interval.\nThey are the conditions of the [[Picard–Lindelöf theorem|0P6KRD5B7A]]. See the [[definition|0J7HF2PF1H]].\n",
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