## ReferencesNotation

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
$$\left\|\mathbf{x}\right\|$$ 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