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Yes it has closure, identity, inverse, and an associative property.
The difference between chebyshev and inverse chebyshev apprroximation is that the ripple of the Inverse Chebyshev filter is confined to the stop-band.
An element x, of a set S has an additive inverse if there exists an element y, also in S, such that x + y = y + x = 0, the additive identity.
The multiplicative inverse of a non-zero element, x, in a set, is an element, y, from the set such that x*y = y*x equals the multiplicative identity. The latter is usually denoted by 1 or I and the inverse of x is usually denoted by x-1 or 1/x. y need not be different from x. For example, the multiplicative inverse of 1 is 1, that of -1 is -1.The additive inverse of an element, p, in a set, is an element, q, from the set such that p+q = q+p equals the additive identity. The latter is usually denoted by 0 and the additive inverse of p is denoted by -p.
Some one please tell me what inverse property is!!