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This turns out to be a distributive lattice , and from its poset of join-irreducibles one recovers the original Ferrers diagram of L. Maximal chains in YoungsLattice [ L ] are in one-to-one correspondence with standard Young tableaux of shape L. P [ y52211 ] is a distributive lattice , and thus its join - and meet-irreducibles are of particular interest . What Miller argues is that the divine perfections are limit cases , not limits simpliciter , of such properties as power and knowledge . A sample ( n = 345 ) of adults was surveyed with questions targeting a variety of psychological , structural , and sociodemographic variables . Its first efforts were geared to a boycott of South African produce . Analysis of data from the National Survey of Families and Households ( NSFH ) indicates that assets of single mothers are positively associated with children 's educational achievement and that this relationship is partially mediated through expectations .