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References Notation

Symbol Description Location
\((x_1,x_2,\ldots,x_n)\) \(n\)-tuple of real numbers Paragraph
\(\R^n\) \(n\)-dimensional real space Paragraph
\(\mathbf{0}\) zero vector Paragraph
\(\vec{0}\) zero vector Paragraph
\(\mathbf{e}_i\) \(i\)th standard basis vector Paragraph
\(\mathbf{x}\cdot \mathbf{y}\) inner product (or dot product) of vectors \(\mathbf{x},\mathbf{y}\) Paragraph
\(\delta_{ij} \) Kronecker delta Exercise 1.4.4
\(|\mathbf{x}| \) norm of a vector Exercise 1.4.5
\([a_{ij}]\) matrix with entries \(a_{ij}\) Paragraph
\(A^T\) transpose of the matrix \(A\) Paragraph
\(Df(\mathbf{x_0})\) the derivative of \(f\) at \(\mathbf{x}_0\) Paragraph