Notations

Notations

$\bot$	is perpendicular to
$\emptyset$	The empty set - a set containing no elements
$<$	is less than
$>$	is greater than
$\geq$	is greater than or equal to
$\leq$	is less than or equal to
$!$	Fractorial
$\rightarrow$	which implies that
$\leftrightarrow$	if and only if
$f(x)$	A function or relation in the variable $x$
$(a,b)$	An ordered pair. This notation can be used in the context of sets describing, the set consisting of all real numbers which lies between $a$ and $b$ whenever $a$ and $b$ are real numbers. This notation may also be used to denote the coordinates of a point in two dimensions.
$\in$	is an element of
$\notin$	is not an element of
$\subseteq$	is a subset of
$\subset$	is a proper subset of
$\cup$	Union
$\cap$	Intersection
$|a|$	The absolute value of $a$
$\neq$	is not equal to
acute angle	An angle which has measure between $0^\circ$ and $90^\circ$.
obtuse angle	An angle which has measure between $90^\circ$ and $180^\circ$.
hypotenuse	The side in a right angle which is opposite to the right angle.
$\overline{AB}$	The length of the line segment $AB$
$\approx$	is approximately equal to
$\sim$	is equivalent to
$\ln(x)$	Natural logarithm of $x$. The logarithm of $x$ to the base $e$.
$\log(x)$	Common logarithm of $x$. The logarithm of $x$ to the base $10$.
$\log_a(x)$	Logarith of $x$ to the base $a$, $a \ne 1$, $a>1$.
$\infty$	Infinity
$\alpha$	The greek letter - alpha
$\beta$	The greek letter - beta
$dom(f)$	The domain of the relation $f$
$rg(f)$	The range of the relation $f$
$\mathbb{R}$	The set of all real numbers
$\mathbb{Q}$	The set of all rational numbers
$\mathbb{Q^c}$	The set of all irrational numbers
$\mathbb{N}$	The set of all natural numbers
$\mathbb{Z}$	The set of all integers