for applications in the natural sciences. We determine an orthogonal family of strictly bandlimited functions that are optimally concentrated within a closed region of the plane, or, alternatively, of strictly spacelimited functions that are optimally concentrated in the Fourier...
Atomic graph As illustrated in Fig.1, each atomic structure is represented as a graph, with atoms as nodes, and directed edges that point from pairs of sender atoms to receiver atoms that are within a cutoff radius ofrcut. The state of an atomiis denoted by the tupleσi = (ri,...
of The the exponential instability manifests plane (ΛβH, ΛGα). For this reason, provided the real part of λαβ gets positive we shall solely concentrate on the largest over root λGH (ΛGα, ΛβH ) = P (ΛGα, ΛβH ) + P 2 (ΛGα, ΛβH) − 4Q (ΛGα,...
A(Ge ). Let G be a simple graph. We say G has re?ective symmetry if it is invariant under the re?ection across some straight line or plane l (the symmetry plane or axis) (see Ciucu’s paper [2]). Ciucu [2] gave a matching factorization theorem of the number of perfect ...
2 Let G be a simple graph. We say G has reflective symmetry if it is invariant un- der the reflection across some straight line or plane l (the symmetry plane or axis) (see Ciucu’s paper [2]). Ciucu [2] gave a matching factorization theorem of the number of per- ...
Vinyl design for the Cartesian plane with a grid size of 15 cm. The complete 2D-CACSET developed in this work has to start assembling in the following order. First, the 2D-CACSET Board is mounted on a table or the ground. The four Anchors are placed pinpointing 𝑋+X+, 𝑋−X...
EV3IA leaves its initial position touring the Cartesian plane; when it passes any of the coordinates on its way, it draws a point that disappears once the EV3IA leaves the coordinates; if any of the coordinates are within a quadrant, this lights up in red, and the dialed number appears ...
Figure 2. Unit Square in the Cartesian plane (USCP) with the evidence degrees µ and λ, and the PAL lattice with a paraconsistent logic state composed by the pair (Dc, Dct). The degrees of evidence originate from different sources, vary in the range between 0 and 1, and belong to ...