Proposition 3.12 . [02BL] Original official author HTML, exact retained edition. Historical TeX conversion verdicts remain unchanged. Cited-edition alignment and mathematical self-containment are not assessed.
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Proposition 3.12 .
There is a k ν k_{\nu} χ ν \chi_{\nu}
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( 1 / 2 ) k ν − 1 / 2 | z | ≤ d ( p , χ ν ( z ) ) ≤ 2 k ν − 1 / 2 | z | ; (1/2)k_{\nu}^{-1/2}|z|\leq d(p,\chi_{\nu}(z))\leq 2k_{\nu}^{-1/2}|z|;
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‖ J ν − J 0 ‖ U ~ , ‖ g ν − g 0 ‖ U ~ ≤ ψ ~ / 2 . \|J^{\nu}-J_{0}\|_{\tilde{U}},\|g^{\nu}-g_{0}\|_{\tilde{U}}\leq\tilde{\psi}/2.