If \(x^*\in R^n\) and if \(r>0\), then the \(\hspace{1.0cm}\) expressed as \(B(x^*, r) = \{y \in R^n: \textbf{K} y – x^* \textbf{K}

If \(x^*\in R^n\) and if \(r>0\), then the \(\hspace{1.0cm}\) expressed as \(B(x^*, r) = \{y \in R^n: \textbf{K} y – x^* \textbf{K}<r\}\) centered at \(x^*\) of radius r is a convex set.

linear space

—>> ball

sphere

triangle

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