Vector Component

A Vector Component is a member of a Vector.

• AKA: Vector Element.
  • …
• Counter-Example(s):
  • a Matrix Cell.
• See: Vector Element Value.

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References

2012

• (Golub & Van Loan, 2012) ⇒ Gene H. Golub, and Charles F. Van Loan. (2012). “Matrix Computations (4th Ed.)." Johns Hopkins University Press. ISBN:1421408597
  • QUOTE: Let [math]\displaystyle{ \R^n }[/math] denote the vector space of real n-vectors: :[math]\displaystyle{ x \in \mathbb{R}^n \Leftrightarrow \ \ x = \begin{bmatrix} x_{1} \\ \vdots \\ x_n \end{bmatrix} \ \ x_i \in \R. }[/math] We refer to [math]\displaystyle{ x_i }[/math] as the ith component of [math]\displaystyle{ x }[/math]. Depending upon context, the alternative notations [math]\displaystyle{ [x]_i }[/math] and [math]\displaystyle{ x(i) }[/math] are sometimes used.

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