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  "body": "\n## Summary\n\nA flow is a family of maps $\\varphi_t$ of a space to itself, indexed by real time $t$. The map $\\varphi_0$ is the identity, and $\\varphi_s \\circ \\varphi_t = \\varphi_{s+t}$.\nThe flow of a vector field sends each point to the position, after time $t$, of the solution of $x' = f(x)$ through it. See the [[definition|02903SSA48]].\n",
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