
APERIODIC ORDER – LECTURE 6 SUMMARY 1. Elements of
... • A tiling T has finite local complexity (FLC) if there are finitely many T patches of any given “size” up to translation. (Note that T -patch is a finite subset of T , and its “size” can be measured by the diameter of its support. The support is the union of the (supports) of the tiles.) • A tiling ...
... • A tiling T has finite local complexity (FLC) if there are finitely many T patches of any given “size” up to translation. (Note that T -patch is a finite subset of T , and its “size” can be measured by the diameter of its support. The support is the union of the (supports) of the tiles.) • A tiling ...
Bell numbers, partition moves and the eigenvalues of the random
... case of Lemma 1 in [10]. The proof of this lemma depends on results on the RSK correspondence for oscillating tableaux, as developed in [7] and [22]. Our proof, which goes via the numbers St0 (n), is different and significantly shorter. In §7 we also make some remarks on the connections with earlier ...
... case of Lemma 1 in [10]. The proof of this lemma depends on results on the RSK correspondence for oscillating tableaux, as developed in [7] and [22]. Our proof, which goes via the numbers St0 (n), is different and significantly shorter. In §7 we also make some remarks on the connections with earlier ...
HERE
... The Zero-Product Property is a consequence of the real number system. The real numbers are an algebraic field and therefore also an integral domain since every field is also an integral domain. (Note, however, that the converse is false; the integers are an integral domain but not a field because no ...
... The Zero-Product Property is a consequence of the real number system. The real numbers are an algebraic field and therefore also an integral domain since every field is also an integral domain. (Note, however, that the converse is false; the integers are an integral domain but not a field because no ...