sublattice sentence in Hindi
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- *PM : normal subgroups form sublattice of a subgroup lattice, id = 7770 new !-- WP guess : normal subgroups form sublattice of a subgroup lattice-- Status:
- In magnetically ordered materials, the electrical resistance is crucially affected by scattering of electrons on the magnetic sublattice of the crystal, which is formed by crystallographically equivalent atoms with nonzero magnetic moments.
- In general, there is no restriction on the shape of the lattice of subgroups, in the sense that every lattice is isomorphic to a sublattice of the subgroup lattice of some group.
- In this correspondence, the index 2 sublattice of the even vectors of the lattice " L " is isomorphic to the orthogonal complement of the vector " v ".
- Since " N " 5 is a sublattice of " S " 7, it follows that the M-symmetric lattices do not form a subvariety of the variety of lattices.
- However, although it is a subset of the lattice of all partitions, it is " not " a sublattice of the lattice of all partitions, because the join operations do not agree.
- As further observes, the Young Fibonacci lattice is distributive; however, the sublattice formed by the strings { 21, 22, 121, 211, 221 } forms a diamond sublattice, forbidden in distributive lattices.
- As further observes, the Young Fibonacci lattice is distributive; however, the sublattice formed by the strings { 21, 22, 121, 211, 221 } forms a diamond sublattice, forbidden in distributive lattices.
- The events x _ i generate a sublattice of the Hilbert space which is a finite Boolean algebra, and if " n " is the dimension of the Hilbert space, then each event is an atom.
- In pure Ni 3 Al phase atoms of aluminium are placed at the vertices of the cubic cell and form the sublattice A . Atoms of nickel are located at centers of the faces and form the sublattice B . The phase is not strictly stoichiometric.
- In pure Ni 3 Al phase atoms of aluminium are placed at the vertices of the cubic cell and form the sublattice A . Atoms of nickel are located at centers of the faces and form the sublattice B . The phase is not strictly stoichiometric.
- In the non-simply laced cases B, C, G and F, the root lattice is spanned by the short roots and the long roots span a sublattice, invariant under the Weyl group, equal to " r " 2 / 2 times the coroot lattice, where " r " is the length of a long root.
- In the adjacent table, | ? < | denotes the number of short roots, " I " denotes the index in the root lattice of the sublattice generated by long roots, " D " denotes the determinant of the Cartan matrix, and | " W " | denotes the order of the Weyl group.
- For each element a in a normal skew lattice S, the set a \ wedge S \ wedge a de�ned by { a \ wedge x \ wedge a | x \ in S } or equivalently { x \ in S | x \ leq a } is a sublattice of S, and conversely . ( Thus normal skew lattices have also been called local lattices . ) When both \ wedge and \ vee are normal, S splits isomorphically into a product T \ times D of a lattice T and a rectangular skew lattice D, and conversely.
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