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Mathematical Typing For CS and CM Exams
How to Insert Equation Editor
Keyboard Shortcut → Alt + =
How to Type Greek Letters
For the Greek alphabet, spell the name of the letter, preceded by the backslash. If the name
begins with a high case letter, a high case Greek letter is inserted.
Letters Shortcut Type Here
𝛼 \alpha
𝛽 \beta
𝛾 \gamma
𝛿 \delta
𝜖 \epsilon
Δ \Delta
𝜁 \zeta
𝜂 \eta
𝜃 \theta
Θ \Theta
𝜄 \iota
Ι \Iota
Γ \Gamma
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𝜆 \lambda
Λ \Lambda
𝜇 \mu
𝜈 \nu
𝜉 \xi
𝜋 \pi
Π \Pi
𝜌 \rho
𝜎 \sigma
𝜏 \tau
𝜙 \phi
𝜒 \chi
𝜓 \psi
𝜔 \omega
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How to Type symbols
Symbols Shortcut Type Here
± \+-
∓ \-+
≤ \le or \<=
≥ \ge or \>=
≈ \approx
∗ \ast
∩ \cap
∪ \cup
÷ \div
∅ \emptyset
∃ \exists
∀ \forall
∞ \infty
∝ \propto
∼ \sim
∴ \therefore
× \times
𝜉 \xi
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→ \rightarrow
⇒ \Rightarrow
⇔ \Leftrightarrow
Accents
Symbols Shortcut Type Here
𝑥̅ x\bar
𝑥̲ x\ubar
𝑥̂ x\hat
𝑥 x\tilde
𝑥̇ x\dot
ẍ x\ddot
𝑥′ x\prime
𝑥″ x\pprime
𝑥‴ x\ppprime
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Superscripts, Subscripts and Formatting
The ^ and _ keys are used to insert superscripts and subscripts. Grouping is important because
it distinguishes between 𝑥𝑎𝑏 and 𝑥𝑎𝑏 .
Terms can be grouped by enclosing them in parentheses, where the parentheses themselves do
not print.
For Shortcut Type Here
𝑥𝑖 + 1 x_i + 1
𝑥𝑖+1 x_(i+1)
𝑥𝑛 x^n
𝑥𝑛 + 1 x^n+1
𝑥 𝑛+1 x^(n+1)
𝑥𝑖 × 𝑦 𝑛 x_i\times y^n
𝑥𝑎𝑏 x_a^b
𝑥𝑎 𝑏 x_(a^b)
𝑏 (_a^b)x
𝑎𝑥
𝑦 =𝑥+5 \rect(y=x+4)
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Brackets
For Shortcut Type Here
𝑎 [a/b]
[ ]
𝑏
𝑎 {a/b}
{ }
𝑏
𝑎 (a/b)
( )
𝑏
𝑎 a/(b+1)
𝑏+1
|𝑎| |a|/|b|
|𝑏|
𝑎 |a/b|
| |
𝑏
{𝑥 ∈ ℕ ∣ 𝑥 < 100} {x\in\doubleN\mid x<100}
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Division
For Shortcut Type Here
𝑎/𝑏 a\/b
𝑎 a/b
𝑏
𝑎⁄ a\sdiv b
𝑏
𝑎+𝑏 (a+b)/(c+d)
𝑐+𝑑
(𝑎 + 𝑏) ((a+b))/(c+d)
𝑐+𝑑
Matrices
For Shortcut Type Here
𝑥11 𝑥12 𝑥13 \pmatrix(x_11&x_12&x_13@
(𝑥 𝑥22 𝑥23 )
21 x_21&x_22&x23)
𝑥11 𝑥12 [\matrix(x_11&x_12@ x_21&x_22)]
[𝑥 𝑥22 ]
21
1 0 0 \identitymatrix
(0 1 0)
0 0 1
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Roots
For Shortcut Type Here
√𝑥 \sqrt x
√𝑥 + 1 \sqrt (x+1)
3
√𝑥 \cbrt x
4
√𝑥 + 1 \qdrt (x+1)
𝑛
√𝑥 \sqrt(n&x)
𝑛+2
√𝑎 + 𝑏 \root n+2\of(a+b)
𝑥 = (−𝑏 ± √(𝑏^2 − 4𝑎𝑐))/2𝑎 \quadratic
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Products, Sums and Integrals
For Shortcut Type Here
∑𝑥 \sum x
∏𝑥 \prod x
\int
∫
\iint
∬
\iiint
∭
𝑁 \sum_(n=0)^N x^y
𝑦
∑𝑥
𝑛=0
∞
\int_-\infty^\infty
∫ 𝑓(𝑥)𝑒 −𝑖𝜔𝑥 𝑑𝑥
−∞ f(x)e^i\omegax dx
𝑛
𝑛 \binomial
(𝑎 + 𝑏)𝑛 = ∑ ( ) 𝑎𝑘 𝑏 𝑛−𝑘
𝑘
𝑘=0
Limits
For Shortcut Type Here
lim 𝑓(𝑥) lim_(x\rightarrow 0)
𝑥→0
f(x)
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