Half-Space
A half-space is that portion of an 
-dimensional space obtained by removing that part lying on one side of
an 
-dimensional hyperplane. For example, half a
Euclidean space is given by the three-dimensional region satisfying 
, 
,
, while a half-plane
is given by the two-dimensional region satisfying 
, 
.
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are (1,i), (i,-1) linearly independent?
