منابع مشابه
Sodium-doped dimer rows on Si„001..
The stability and electronic structure of a nanowire are studied by first-principles calculations. The wire consists of a single depassivated silicon dimer row on the hydrogen passivated Si~001! 231 surface. We predict that sodium atoms evaporated onto this surface stick preferentially at the depassivated row and partially fill the empty one-dimensional states of this row. This leads to a thin ...
متن کاملSuslin's algorithms for reduction of unimodular rows
A well-known lemma of Suslin says that for a commutative ring A if (v1(X), . . . , vn(X)) ∈ (A[X])n is unimodular where v1 is monic and n ≥ 3, then there exist γ1, . . . , γ` ∈ En−1(A[X]) such that the ideal generated by Res(v1, e1.γ1 (v2, . . . , vn)), . . . , Res(v1, e1.γ` (v2, . . . , vn)) equals A. This lemma played a central role in the resolution of Serre’s conjecture. In case A contains ...
متن کاملPlanes and rows in icosahedral quasilattices
The planar and linear substructures of a threedimensional icosahedral AmmannKramer-Penrose quasilattice have been analysed. Infinitely many families of planes and rows are existing such that each family covers all vertices of the quasilattice. The members of a family of parallel planes are separated by at least three but a finite number of different distances, whose sequence is quasiperiodic an...
متن کاملThe master equality polyhedron with multiple rows
The master equality polyhedron (MEP) is a canonical set that generalizes the Master Cyclic Group Polyhedron (MCGP) of Gomory. We recently characterized a nontrivial polar for the MEP, i.e., a polyhedron T such that an inequality defines a nontrivial facet of the MEP if and only if its coefficient vector forms a vertex of T . In this paper we study the MEP when it is defined by m > 1 rows. We de...
متن کاملGcd of Truncated Rows in Pascal’s Triangle
In this paper we study gcd (( n t ) , ( n t+1 ) , ..., ( n n−t )) . By arranging these numbers in a triangle and exploring a local divisiblity property of its elements, we uncover relations among them which lead to an interesting description of their complete prime factorization.
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ژورنال
عنوان ژورنال: Nature
سال: 1987
ISSN: 0028-0836,1476-4687
DOI: 10.1038/326238d0