Notations

MATH 1200: Calculus for Scientists I · LibreTexts

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    From LibreTexts, under CC BY-NC-SA, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    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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