1. The problem involves understanding the expression $x_i \frac{\left|x\right|}{ }$, which appears incomplete as the denominator is missing. 2. Typically, expressions like $x_i \frac{\left|x\right|}{a}$ involve division by some value $a$. Without a denominator, the expression is undefined. 3. If the intention is to write $x_i \left|x\right|$, then it means multiplying the component $x_i$ by the absolute value of $x$. 4. The absolute value $\left|x\right|$ represents the magnitude of $x$, which is always non-negative. 5. Please provide the complete expression or clarify the denominator to proceed with solving or simplifying the expression.