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algebra apply arbitrary assume asymptotic axes axis base belongs boundary bounded called closed coincides compact complete condition consequence consider constant construction contains continuous corresponding defined definition denote depend described determined differential dimension direct disks easily element English transl equal equation equivalent estimate exists exponential extension fiber field Figure finite fixed formula function given graph Hence homomorphism identity implies inequality integral introduce invariant isomorphism Lemma manifold Math Mathematical method neighborhood obtain operator positive present problem projection Proof Proposition proved quadratic form recall regular relation remains Remark representation respectively restriction satisfies semigroup sequence side similar simple smooth solution space spectrum statement Subsection suffices Suppose Theorem theory transformation trivial true values variation vector weight yields zero