Math Notation Help


This glossary will help you build complex mathematical equations using the Tex markup language. This will involve using @@ or $$ before and after the expression to display the desired results.
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06 SYMBOLS

zeta (lower case greek letter)

$$\zeta$$ gives \zeta

07 RELATIONS

greater than

$$x>y$$  gives

x>y


greater than or equal

$$x\ge~y$$ or $$x\geq~y$$ gives

x\ge~y


less than

$$<$$   gives

<


less than or equal

$$x\le~y$$ or $$x\leq~y$$ gives

x\le~y


not equal

$$x\neq~y$$ gives

x\neq~y

note: \neg produces the logical negation, i.e. $$\neg~A$$ gives

\neg~A


09 STRUCTURES

array

  • Syntax for an n-dimensional array:
    \begin{array}a1&...&an\end{array}
  • Ex.: $$\begin{array}a_{\fs{0}1}\fs{3},&a_{\fs{0}2}\fs{3},&a_{\fs{0}3}\end{array}$$ gives

(\begin{array}a_{\fs{0}1}\fs{3},&a_{\fs{0}2}\fs{3},&a_{\fs{0}3}\end{array})


matrix

  • An (m,n)-matrix is considered as an array of m*n elements, where the elements of a column are separated by "&" and the rows by "\\".
  • Syntax for an (m,n)-matrix:
    \begin{array}{colformat}a11&...&a1n\\a21&...&a2n\\... \\am1&...&amn \end{array}

    where
    colformat defines the format of each of the n columns: l for left, r for right and c for center (hence {ccccc} defines for a (m,5)-matrix in which all columns are centered)

  • Ex.: $$\left(\begin{array}{lcr}a_{\tiny1}+d & a_{\tiny2}+d & a_{\tiny3}+d \\ b_{\tiny1}& b_{\tiny2}& b_{\tiny3} \\ c_{\tiny1} & c_{\tiny2} & c_{\tiny3} \end{array}\right)$$ gives

\left(\begin{array}{lcr}a_{\tiny1}+d & a_{\tiny2}+d & a_{\tiny3}+d \\ b_{\tiny1}& b_{\tiny2}& b_{\tiny3} \\ c_{\tiny1} & c_{\tiny2} & c_{\tiny3} \end{array}\right)

Note in the example above that "lcr" has the effect that column 1 is left aligned, column 2 centered and colums 3 right aligned.



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