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x(t) is a band-limited signal with X(jw) = 0 for |W| >Wm.

Then x(t) is uniquely determined by its samples x(nT) = 0,(+,-)[1,2,3]..., if  Ws > 2 * Wm,

where

           Ws  =  (2* pi ) / T   

Then if

X D [n] = X(nTs) are a collection of samples, then x(t) can be uniquely recovered from its samples if Ts < pi/ Wm

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett