symmetry group


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symmetry group

[′sim·ə‚trē ‚grüp]
(mathematics)
A group composed of all rigid motions or similarity transformations of some geometric object onto itself.
References in periodicals archive ?
KARACHI -- Bulls Eye Group and Symmetry Group are in talks for a possible joining of hands, stated a press release.
If z = (x, u, [u.sub.(1)], ..., [u.sub.(k)]), where independent variables x = ([x.sup.1], ..., [x.sup.n]), dependent variables u and [u.sub.(k)] denote the collections of all fcth-order partial derivatives, then (3) becomes an approximate differential equation of k, and G is an approximate symmetry group of the differential equation.
Based on the analysis of polarization dependences of Raman and IR reflection spectra, the TlGa[S.sub.2] and TlGa[Se.sub.2] crystals can be attributed to symmetry group [D.sub.2h] or [D.sub.4h].
An aspect of this property is that the global symmetry group of the massless theory is larger than the chiral symmetry.
The main idea of Lie Group method is to use the prolongation formulae, providing an effective computational procedure for finding the most general symmetry group of almost any system of partial differential equations of interest.
It is known that if the symmetry group of a problem is known, this can greatly simplify the process of creating digital holograms [1315].
We clearly have, for instance, {[f.sub.1], [f.sub.2]} = 0 and thus [mathematical expression not reproducible] and [mathematical expression not reproducible] generate an abelian Hamiltonian symmetry group of order two of the equation.
In particular, by using the correspondence between the de Sitter symmetry group in D-dimensions and the conformal group in an euclidean (D-1)-dimensional "boundary" space (Strominger, 2001), it is possible to calculate general important features of the system, such as the correlations functions of the fields that govern the dynamics of the inflationary Universe (Biagetti et al., 2013), which are necessary to calculate the statistical descriptors of the primordial curvature perturbation by using, for example, the bN formalism (Sasaki & Stewart, 1996; Nakamura & Stewart, 1996; Starobinsky, 1985; Lyth et al., 2005; Dimopoulos et al., 2009) or cosmological perturbation theory (Gumrukcuoglu et al., 2010; Bartolo et al., 2013).
Symmetry Digital and Iris Digital, full service digital media agencies of Symmetry Group have created history yet again by winning the coveted Gold and Bronze respectively for the Campaign Asia-Pacific South Asia Agency of the Year Awards 2015 in the category of "Pakistan Digital Agency of the Year 2015".
Then there followed Symmetry Group of Chemical Elements, a book written by Fet alone, which presented a new physical perspective of the System of Chemical Elements and has become classics.
A tiling is called isohedral if its symmetry group acts transitively on the tiles.
Marrium Khan, Associate Director Iris Digital (A symmetry Group company) who has experienced the overwhelming response of native advertising expressed her views - "Content marketing is the key area of focus for our clients and us.

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