ThmDex – An index of mathematical definitions, results, and conjectures.
Set of symbols
Alphabet
Deduction system
Theory
Zermelo-Fraenkel set theory
Set
Binary cartesian set product
Binary relation
Map
Countable map
Array
Matrix
Matrix column index set
Column matrix
Complex column matrix
Euclidean complex dot product
Definition D6241
Euclidean real dot product
Formulation 0
Let $x, y \in \mathbb{R}^{N \times 1}$ each be a D5200: Real column matrix.
The dot product of $(x, y)$ is the D993: Real number \begin{equation} \sum_{n = 1}^N x_n y_n \end{equation}