In Zhang's model the SO(5) symmetry is a global symmetry
: the Lie algebra generators in (B.4) do not have any spatial dependence.
Significant differences in joint angle SI caused by footwear changing were seen only in the sagittal plane, where local gait symmetry at ankle joint and global symmetry of the 3 lower limb joints (hip-knee-ankle) were significantly lower when walked barefoot as compared to the 2 shodwalking conditions (both p < 0.05).
No significant difference in global symmetry was found among the 3 tested conditions in the perspective of joint moment (Table 3).
The theme of the paper is pattern analysis of circular objects based on image analysis and proposes a computational method using global symmetry to locate objects.
Visual Inspection for Circular Objects Based on Global Symmetry, AASRI Procedia., 3: 559-565.
Thus, we define the global symmetry
of the rectangle region as
For historical reasons the local symmetry group is known as a gauge group (strictly of the so-called second kind - the corresponding global symmetry
is a gauge symmetry of the first kind) and the hope is widely shared that all interactions, including electromagnetic, strong, weak, and even gravitational, can be derived by imposing the appropriate local gauge symmetry.
This sector is taken to be endowed with a global symmetry which is spontaneously broken in the confining phase, protecting the Higgs mass from corrections above the compositeness scale.
In Composite Higgs models, the Higgs is realised as a pseudo-Nambu Goldstone boson (pNGB) of a broken global symmetry. This symmetry is a symmetry of a new strongly interacting sector, out of which Higgs emerges as a composite.
Let the global symmetry be denoted by G and the subgroup to which it spontaneously breaks be denoted by H.
We consider in detail the structure of the pNG multiplet which is defined by the global symmetry breaking SU(4) [right arrow] Sp(4).
The global symmetry of two-color QCD with [N.sub.[??]] Dirac quarks in the limit of zero masses is SU(2[N.sub.[??]]), with the chiral group being its subgroup, SU[([N.sub.[??]]).sub.L] [cross product] SU[([N.sub.[??]]).sub.R] [subset] SU(2[N.sub.[??]]) (this statement is valid for any symplectic gauge theory ; the group SU(2) is isomorphic to the group Sp(2)) [52,53].