We attribute independence to things in order to normalise their recurrence.
"The Life of Reason" by George Santayana
This would be that there is, forsooth, no need for any normalisation, or for any normal working-day!
"The Theory and Policy of Labour Protection" by Albert Eberhard Friedrich Schäffle
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Thus R is characteristic in C and NT (C ) must normalise R .
Transitive simple subgroups of wreath products in product action
Since A and B are not conjugate in T , we have that N2 ∩ T = NT (A) ∩ NT (B ) = A ∩ B = C , and, since C is self-normalising in T , we also have N1∩T = C .
Transitive simple subgroups of wreath products in product action
If T ∼= Sp4(q) then the ﬁeld automorphism group Φ so T N2 = Aut(T ) (see [Atlas]). normalises A and B .
Transitive simple subgroups of wreath products in product action
For any 1-cycle C in Xn , one denotes by ν : ¯C → P1 × (P1)n the normalisation of its compactiﬁcation.
The additive dilogarithm
Let E be an el liptic curve deﬁned over a number ﬁeld K . A K -modular parametrisation of E is a non-constant algebraic map φ : X1 (M ) → E , for some positive integer M , deﬁned over K that we normalise by requiring that φ sends the 0-cusp to the origin. 2.
Belyi parametrisations of elliptic curves and congruence defects
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