Notations

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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

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