lattice of cubespower sethypercubesupermodular functionssubmodular functionsdiscrete optimizationcombinatorial optimizationmathematical programmingsupermodular programmingThe basic properties of a new type of l
[St97] and [St99, pp. 178, 239–240]); for example, sn is the number of ways to insert parentheses into an expression of n+1 terms with two or more items within a parenthesis, and Sn is the number of lattice paths from the point (0,0) to (n,n) with steps (1,0),(0,1...
anharmonic lattice modesdensity functional theory, local density approximation, gradient and other correctionsA density functional theory (DFT) study of the discrete breathers (DBs) in graphane (fully hydrogenated graphene) was performed. To the best of our knowledge, this is the first demonstration ...
Analyzing lattice networks through substructures 2018, Applied Mathematics and Computation Show abstract Analyzing the topology of network structures is an important topic studied from many different aspects of science and mathematics. The Wiener polarity index (number of unordered pairs of vertices at dist...
LetOandYbe compact, connected, orientable surfaces, whereYis further assumed to be closed. For eachd≥2, writeYdfor the surface that results from removingd+1open disks fromY. From this data, we construct a non-compact surfaceCd(O,Y)by gluing copies ofYdtoOin a tree-like manner; see ...
Within this circle of ideas, we give in this paper an axiomatization of the first-order theory of the class of all direct products of totally ordered abelian groups, construed as lattice-ordered groups ( l -groups)—see the theorem below. We think of this result as constituing a first ...
In the article, we establish some monotonicity and convexity (concavity) properties for certain combinations of polynomials and the Ramanujan R-function by use of the monotone form of L’Hôpital’s rule and present serval new asymptotically sharp bounds for the Ramanujan R-function that improve ...
To do so, we move from the triangular lattice of Fig. 1c, to the honeycomb one whose unit cell contains 2 resonators, as schematized in Fig. 1d. The band structure of the new metamaterial displays more branches and can no longer be simply described in terms of local effective ...
of the DGFFalong edges of the square lattice. This field is a centered Gaussian process whose correlation structure can be written in terms of, the transfer current (or transfer impedance) matrix [23]. Namely, if we consider the gradientin thei-th coordinate direction of, we have, for, ...
The process highlights a parameter Tc.different from Tmior Tmf, as the microstructure of the crystals undergoes a lattice opening process (Wu et al.,2020), during which the ordered structures are destroyed and form a three-dimensional disordered state. The structure is semi-stable and prone to...