Results 241 to 250 of about 418,034 (290)
Study of the effect of pinning size on the critical current density in a superconducting tape with a Moiré triangular pinning array at magic angles. [PDF]
Sci RepGhanavati F +3 more
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Direct Imaging of Hydrogen-Driven Dislocation and Strain Field Evolution in a Stainless Steel Grain. [PDF]
Adv MaterYang D +11 more
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Decoupling metasurface parameters for independent Stokes polarization control via generalized lattice. [PDF]
Light Sci ApplCheng Z, Zhou Z, Wang Z, Wang Y, Yu C.
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On Fragments on Lattice Normed Vector Lattices
Results in Mathematics, 2023Considering a lattice normed vector space \((V,\|\cdot\|, E)\) with \(E\) a vector lattice, the codomain of \(\|\cdot\|\), the authors call \(z\in V\) a \((bo)\)-fragment of \(x\in V\) provided that \(\|z\|+\|x - z\|=0\). The elementary properties of \((bo)\)-fragments are demonstrated and specified for \(C[0,1]\).
Bolat, Sezer +2 more
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Multiband Vector Lattice Solitons
Physical Review Letters, 2003We predict multiband vector solitons in nonlinear periodic systems, using photonic lattices as a prime example. The solitons consist of two optical fields arising from different bands of the transmission spectrum, which involve both bound state and radiation mode components.
Oren, Cohen +4 more
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Canadian Journal of Mathematics, 1968
This note presents a useful explicit characterization of the free vector lattice FVL(ℵ) on ℵ generators as a vector lattice of piecewise linear, continuous functions on Rℵ, where ℵ is any cardinal and R is the set of real numbers. A transfinite construction of FVL(ℵ) has been given by Weinberg (14) and simplified by Holland (13, § 5).
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This note presents a useful explicit characterization of the free vector lattice FVL(ℵ) on ℵ generators as a vector lattice of piecewise linear, continuous functions on Rℵ, where ℵ is any cardinal and R is the set of real numbers. A transfinite construction of FVL(ℵ) has been given by Weinberg (14) and simplified by Holland (13, § 5).
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Multiplication in Vector Lattices
Canadian Journal of Mathematics, 1968B. Z. Vulih has shown (13) how an essentially unique intrinsic multiplication can be defined in a Dedekind complete vector lattice L having a weak order unit. Since this work is available only in Russian, a brief outline is given in § 2 (cf. also the review by E. Hewitt (4), and for details, consult (13) or (11)).
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Canadian Journal of Mathematics, 1980
Let G be a lattice-ordered group (l-group). If X ⊆ G, then letThen X’ is a convex l-subgroup of G called a polar. The set P(G) of all polars of G is a complete Boolean algebra with ‘ as complementation and set-theoretic intersection as meet. An l-subgroup H of G is large in G (G is an essential extension of H) if each non-zero convex l-subgroup of G ...
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Let G be a lattice-ordered group (l-group). If X ⊆ G, then letThen X’ is a convex l-subgroup of G called a polar. The set P(G) of all polars of G is a complete Boolean algebra with ‘ as complementation and set-theoretic intersection as meet. An l-subgroup H of G is large in G (G is an essential extension of H) if each non-zero convex l-subgroup of G ...
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2018
The first of two results is a 1-1-correspondence between isomorphism classes of finite-dimensional vector lattices and finite rooted unlabelled trees. Thus the problem of counting isomorphism classes of finite-dimensional vector lattices reduces to the well-known combinatorial problem of counting these trees.
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The first of two results is a 1-1-correspondence between isomorphism classes of finite-dimensional vector lattices and finite rooted unlabelled trees. Thus the problem of counting isomorphism classes of finite-dimensional vector lattices reduces to the well-known combinatorial problem of counting these trees.
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