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Yes they can be, the two definitions are not related.
Symmetric
yes, it is both symmetric as well as skew symmetric
Symmetric is a term used to describe an object in size or shape. For example, you could say that an orange is symmetric to the sun or a glass is symmetric to a cone
A sponge is neither bilateral or radial symmetric. It doesn't have any symmetry.
Yes they can be, the two definitions are not related.
Yes, identical fermions have antisymmetric wavefunctions. Identical bosons have symmetric -- look up Spin Statistics in any Standard Field Theory text.
No it is not.
An antisymmetry is the mathematical condition of being antisymmetric.
An antisymmetrization is an act of making something antisymmetric.
A bivector is a mathematical term for an antisymmetric tensor of second rank.
symmetric about the y-axis symmetric about the x-axis symmetric about the line y=x symmetric about the line y+x=0
Yes a flower is symmetric.
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Symmetric
yes, it is both symmetric as well as skew symmetric
yes