1. There is a bit difficult in judging the antisymmetry of a relation on a basis of its definition in discrete mathematic.

2. We start by considering the wavefunction, ignoring the antisymmetry requitement.

3. Then it is proved the multi-scaling functions which are practically valuable and which components satisfy antisymmetry do not exist.

4. The essay analyses free vibration problem of laying bed build-up board of antisymmetry angle with spline finite element method.

5. Orthogonal multiwavelets can simultaneously have shorter support, symmetry or antisymmetry and orthogonality, while monowavelet function cannot possess such properties.

6. Based on the necessary conditions satisfied by stress and displacement, we analyzed symmetry and antisymmetry under the principal stress state using a computational example.

7. For any load the function from load is in multiplication shear force by antisymmetry load.