For integers n>2 and k>0, an (n×n)?k semi-Latin square is n×n array of k-subsets (called blocks) nk-set (of treatments), such that each treatment occurs once in row column the array. A uniform if every pair blocks, not same or column, intersect positive number treatments. It known a Schur optimal class all squares, here we show when exists, squares are precisely ones. We then compare using crit...

In this note we study CFT$_2$ Virasoro conformal blocks with heavy operators in the large-$c$ limit context of AdS$_3$/CFT$_2$ correspondence. We compute lengths holographic Steiner trees dual to $5$-point and $6$-point using superlight approximation when one or more dimensions are much less than others. These results generalized for $N$-point $(N+1)$-point weights.

structure. All three groups displayed negative transfer to random material in block 7, and positive transfer to block 8, which is constructed as blocks 1–6. The crucial test of transfer involves new material with different surface structure but the same abstract structure in blocks 9 and 10. The schizophrenic group showed no evidence of use of the abstract information in blocks 9 and 10, as was...

In a 4-(12, 6, 4) design a block is either disjoint from one other block or it has five points in common with one other block. For a 4-(12, 6, 4) design with a pair of blocks of the second type it is shown that· another thirty blocks of the design can be completed in a unique way and these thirty blocks contain a copy of a 3-(10, 4, 1) design.