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**Sample text**

2 From scalars to generating series . . . . 3 ARI//GARI and its dimorphic substructures . 5 Enumeration of multizeta irreducibles . . 7 Purpose of the present survey . . . . 2 Basic dimorphic algebras . . . . . . . . 1 Basic operations . . . . . . . . 2 The algebra ARI and its group GARI . . . 3 Action of the basic involution swap . . . 4 Straight symmetries and subsymmetries . . 5 Main subalgebras . . . . . . . . 6 Main subgroups . . . . . .

KOUK OUTSAKIS and E. R EMIDDI, Nucl. Phys. B642, 227 (2002), hepph/0206067. [8] S. M OCH , P. U WER and S. W EINZIERL, Phys. Rev. D66, 114001 (2002), hep-ph/0207043. [9] A. G EHRMANN -D E R IDDER , T. G EHRMANN , E. W. N. G LOVER and G. H EINRICH, Phys. Rev. Lett. 1285. [10] A. G EHRMANN -D E R IDDER , T. G EHRMANN , E. W. N. G LOVER and G. 4711. [11] A. G EHRMANN -D E R IDDER , T. G EHRMANN , E. W. N. G LOVER and G. H EINRICH, Phys. Rev. Lett. 0813. [12] A. G EHRMANN -D E R IDDER , T. G EHRMANN , E.

2 Arithmetical criteria . . . . . . . . 3 Functional criteria . . . . . . . . 4 Notions of perinomal algebra . . . . . . 5 The all-encoding perinomal mould peri• . . . 6 A glimpse of perinomal splendour . . . . Provisional conclusion . . . . . . . . . 1 Arithmetical and functional dimorphy . . . 2 Moulds and bimoulds. The flexion structure . . 4 What has already been achieved . . . . . 5 Looking ahead: what is within reach and what beckons from afar .