Symmetry properties and cocycle properties of the Maslov index are then easily obtained.
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Unfortunately, several desirable properties are not available with compactly supported orthogonal wavelets, e.g., symmetry and piecewise polynomial structure.
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New symmetry and operational properties of the Fourier transform are derived.
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For a differential equation, a theoretical proof of the relationship between the symmetry and the one-parameter invariant group is given: the relationship between symmetry and the group-invariant solution is presented.
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The computation of symmetry-breaking bifurcation points inZ2×Z2-symmetric nonlinear problems
Due to the gradual energy decay the free turbulent shear flow far downstream resembles the final stage motion of homogeneous isotropic turbulence. As in the latter case we adopt the concept of vortex motion structure of turbulence to solve the present problem. The dynamical basis of vortex motion solution is the set of equations of turbulent velocity fluctuation. In the flow field of the final stage motion of free turbulence the Reynolds number of turbulence is comparatively small, hence the non-linear term...
The existing approximate solutions for rectangular cantilever plates are all for the cases where the deflection surfaces are symmetrical to the plate's center line perpendicular to the clamped edge. This paper proposes an exact solution for a cantilever plate without such symmetry. The problem to solve is for a concentrated load acting not at the middle of thefree edge y = b, for example, when x =3/4a. The results are satisfactory and can be consideredto have proved the general validity of the method ...
In this paper the polystrip-integral method used to calculate the flow field of hypersonic wake is further simplified.In the case of giving the distributions of profile of several physical variables and supplementing the growth law of the hypersonic wake the flow field and the electrical density distributions in the wake are obtained by integrating the conservation equations satisfied by the wake flow at the axis of symmetry in the nonequilibrium situation.The specified conditions of calculation in th...