| H2O | ||
| CO2 | ||
| C2H6 | ||
| 12 | ||
| 12 | ||
| (−12)2 | ||
| a+bc+de | ||
| 1+11+11+11+⋱=12(1+√5) | ||
| 0.123 | ||
| 111=0.˙0˙9 | ||
| 3.14… | ||
| √2=1.4142… | ||
| ∞ | ||
| |x| | ||
| |x| | ||
| |x2| | ||
| [x] | ||
| [x] | ||
| ⌊x⌋ | ||
| ⌈x⌉ | ||
| 1+2 | ||
| 3−1 | ||
| 2×3 | ||
| 6÷3 | ||
| ±1 | ||
| ∓1 | ||
| a⋅b=ab | ||
| a/b=ab | ||
| a≡bmod | ||
| a \equiv b \pmod n | ||
| x \propto y | ||
| a \gt b | ||
| a \geqq b | ||
| a \lt b | ||
| a \leqq b | ||
| a = b | ||
| a \neq b | ||
| a \fallingdotseq b | ||
| a \sim b | ||
| a \simeq b | ||
| a \approx b | ||
| a \gg b | ||
| a \ll b | ||
| \max f(x) | ||
| \min f(x) | ||
| x \in A | ||
| A \ni x | ||
| x \notin A | ||
| A \subset B | ||
| A \subseteq B | ||
| A \subseteqq B | ||
| A \supset B | ||
| A \supseteq B | ||
| A \supseteqq B | ||
| A \not \subset B | ||
| A \subsetneqq B | ||
| A \cap B | ||
| A \cup B | ||
| \varnothing | ||
| A^c | ||
| \overline{ A } | ||
| A \setminus B | ||
| A \setminus B = A \cap B^c = \{ x \mid x \in A, x \notin B \} | ||
| \mathbb{ N } | ||
| \mathbb{ Z } | ||
| \mathbb{ Q } | ||
| \mathbb{ R } | ||
| \mathbb{ C } | ||
| \mathbb{ H } | ||
| \sup A | ||
| \inf A | ||
| \aleph | ||
| P \land Q | ||
| P \lor Q | ||
| \lnot P | ||
| \overline{ P } | ||
| !P | ||
| P \Rightarrow Q | ||
| P \to Q | ||
| P \implies Q | ||
| P \Leftarrow Q | ||
| P \gets Q | ||
| P \Leftrightarrow Q | ||
| P \leftrightarrow Q | ||
| P \iff Q | ||
| P \equiv Q | ||
| P \models Q | ||
| \forall x | ||
| \exists x | ||
| \nexists | ||
| \therefore | ||
| \because | ||
| {}_n \mathrm{ P }_k | ||
| {}_n \mathrm{ C }_k | ||
| n! | ||
| \binom{ n }{ k } | ||
| { n \choose k } | ||
| {}_n \prod_k | ||
| {}_n \mathrm{ H }_k | ||
| \begin{eqnarray}{}_n \mathrm{ P }_k = n \cdot ( n - 1 ) \cdots ( n - k + 1 ) = \frac{ n! }{ ( n - k )! }\end{eqnarray} | ||
| \begin{eqnarray}{}_n \mathrm{ C }_k = \binom{ n }{ k } = \frac{ n! }{ k! ( n - k )! }\end{eqnarray} | ||
| \sum_{ i = 1 }^{ n } a_n | ||
| \displaystyle \sum_{ i = 1 }^{ n } a_n | ||
| \begin{eqnarray}\sum_{ k = 1 }^{ n } k^2 = \overbrace{ 1^2 + 2^2 + \cdots + n^2 }^{ n } = \frac{ 1 }{ 6 } n ( n + 1 ) ( 2n + 1 )\end{eqnarray} | ||
| \prod_{ i = 0 }^n x_i | ||
| \displaystyle \prod_{ i = 0 }^n x_i | ||
| \begin{eqnarray}n! = \prod_{ k = 1 }^n k\end{eqnarray} | ||
| \begin{eqnarray}\zeta (s) = \prod_{ p:\mathrm{ prime } } \frac{ 1 }{ 1 - p^{ -s } }\end{eqnarray} | ||
| 2^3 | ||
| e^{ i \pi } | ||
| \exp ( x ) | ||
| \sqrt{ 2 } | ||
| \sqrt{ \mathstrut a } + \sqrt{ \mathstrut b } | ||
| \sqrt[ n ]{ x } | ||
| \log x | ||
| \log_{ 2 } x | ||
| \ln x | ||
| 90^{ \circ } | ||
| \frac{ \pi }{ 2 } | ||
| \angle A | ||
| AB /\!/ CD | ||
| AB \parallel CD | ||
| AB \perp CD | ||
| \triangle ABC | ||
| \Box ABCD | ||
| \stackrel{ \Large \frown }{ AB } | ||
| \triangle ABC \equiv \triangle DEF | ||
| \triangle ABC \backsim \triangle DEF | ||
| \triangle ABC \sim \triangle DEF | ||
| \sin x | ||
| \cos x | ||
| \tan x | ||
| \begin{eqnarray}\sin 45^\circ = \frac{ \sqrt{2} }{ 2 }\end{eqnarray} | ||
| \begin{eqnarray}\cos \frac{ \pi }{ 3 } = \frac{ 1 }{ 2 }\end{eqnarray} | ||
| \begin{eqnarray}\tan \theta = \frac{ \sin \theta }{ \cos \theta }\end{eqnarray} | ||
| \sec x | ||
| \csc x | ||
| \cot x | ||
| \arcsin x | ||
| \arccos x | ||
| \arctan x | ||
| \sinh x | ||
| \cosh x | ||
| \tanh x | ||
| \coth x | ||
| \lim_{ x \to +0 } \frac{ 1 }{ x } = \infty | ||
| \displaystyle \lim_{ n \to \infty } f_n(x) = f(x) | ||
| \limsup_{ n \to \infty } a_n | ||
| \varlimsup_{ n \to \infty } a_n | ||
| \liminf_{ n \to \infty } a_n | ||
| \varliminf_{ n \to \infty } a_n | ||
| \begin{eqnarray}\varlimsup_{ n \to \infty } a_n = \lim_{ n \to \infty } \sup_{ k \geqq n } a_k\end{eqnarray} | ||
| \begin{eqnarray}\varliminf_{ n \to \infty } A_n = \bigcup_{ n = 1 }^{ \infty } \bigcap_{ k = n }^{ \infty } A_k = \bigcup_{ n \in \mathbb{ N } } \bigcap_{ k \geqq n } A_k\end{eqnarray} | ||
| \frac{ dy }{ dx } | ||
| \frac{ \mathrm{ d } y }{ \mathrm{ d } x } | ||
| \frac{ d^n y }{ dx^n } | ||
| \left. \frac{ dy }{ dx } \right|_{ x = a } | ||
| f' | ||
| f^{ ( n ) } | ||
| Df | ||
| D_x f | ||
| D^n f | ||
| \dot{ y } = \frac{ dy }{ dt } | ||
| \ddddot{ y } = \frac{ d^4 y }{ dt^4 } | ||
| \begin{eqnarray}f'(x) = \frac{ df }{ dx } = \lim_{ \Delta x \to 0 } \frac{ f(x + \Delta x) - f(x) }{ \Delta x }\end{eqnarray} | ||
| \frac{ \partial f }{ \partial x } | ||
| \frac{ \partial }{ \partial y } \frac{ \partial }{ \partial x } z | ||
| f_x | ||
| f_{ xy } | ||
| \nabla f | ||
| \Delta f | ||
| \begin{eqnarray}\Delta \varphi = \nabla^2 \varphi = \frac{ \partial^2 \varphi }{ \partial x^2 } + \frac{ \partial^2 \varphi }{ \partial y^2 } + \frac{ \partial^2 \varphi }{ \partial z^2 }\end{eqnarray} | ||
| \int_0^1 f(x) dx | ||
| \displaystyle \int_{ - \infty }^{ \infty } f(x) dx | ||
| \begin{eqnarray}\int_0^1 x dx = \left[ \frac{ x^2 }{ 2 } \right]_0^1 = \frac{ 1 }{ 2 }\end{eqnarray} | ||
| \iint_D f(x,y) dxdy | ||
| \iiiint_D f dxdydzdw | ||
| \idotsint_D f(x_1, x_2, \ldots , x_n) dx_1 \cdots dx_n | ||
| \oint_C f(z) dz | ||
| \vec{ a } | ||
| \overrightarrow{ AB } | ||
| \boldsymbol{ A } | ||
| ( a_1, a_2, \ldots, a_n ) | ||
| \boldsymbol{ \rm{ e } }_k = ( 0, \ldots, 0, \stackrel{ k }{ 1 }, 0, \ldots, 0 )^{ \mathrm{ T } } | ||
| \| x \| | ||
| \vec{ a } \cdot \vec{ b } | ||
| \vec{ a } \times \vec{ b } | ||
| A^{ \mathrm{ T } } | ||
| {}^t \! A | ||
| \dim | ||
| \mathrm{ rank } A | ||
| \mathrm{ Tr } A | ||
| \mathrm{ det }A | ||
| | x | | ||
| \vert x \vert | ||
| \{ x \mid x \in A \} | ||
| \Vert x \Vert | ||
| AB \parallel CD | ||
| \overline{ A } | ||
| \bar{ A } | ||
| \underline{ A } | ||
| / | ||
| \backslash | ||
| \leftarrow | ||
| \longleftarrow | ||
| \rightarrow | ||
| \longrightarrow | ||
| \uparrow | ||
| \downarrow | ||
| \leftrightarrow | ||
| \longleftrightarrow | ||
| \updownarrow | ||
| \Leftarrow | ||
| \Longleftarrow | ||
| \Rightarrow | ||
| \Longrightarrow | ||
| \Uparrow | ||
| \Downarrow | ||
| \Leftrightarrow | ||
| \Longleftrightarrow | ||
| \Updownarrow | ||
| \mapsto | ||
| \longmapsto | ||
| \nearrow | ||
| \searrow | ||
| \nwarrow | ||
| \swarrow | ||
| \vec{ a } | ||
| \overrightarrow{ AB } | ||
| \overleftarrow{ AB } | ||
| ( x ) | ||
| [ x ] | ||
| \lbrack x \rbrack | ||
| \lceil x \rfloor | ||
| \lfloor x \rceil | ||
| \{ x \} | ||
| \lbrace x \rbrace | ||
| \langle x \rangle | ||
| \left[ \frac{ 1 }{ 2 } \right] | ||
| \overbrace{ x + y + z } | ||
| \overbrace{ a_1 + \cdots + a_n }^{ n } | ||
| \underbrace{ x + y + z } | ||
| \underbrace{ a_1 + \cdots + a_n }_{ n } | ||
| \cdot | ||
| \cdots | ||
| \ldots | ||
| \vdots | ||
| \ddots | ||
| \dot{ a } | ||
| \ddot{ a } | ||
| \circ | ||
| \bullet | ||
| \bigcirc | ||
| \oplus | ||
| \ominus | ||
| \otimes | ||
| \odot | ||
| \triangle | ||
| \bigtriangleup | ||
| \bigtriangledown | ||
| \triangleleft | ||
| \lhd | ||
| \triangleright | ||
| \rhd | ||
| \unlhd | ||
| \unrhd | ||
| \ast | ||
| \star | ||
| \ltimes | ||
| \rtimes | ||
| \diamondsuit | ||
| \heartsuit | ||
| \clubsuit | ||
| \spadesuit | ||
| \flat | ||
| \natural | ||
| \sharp | ||
| \dagger | ||
| \ddagger | ||
| aaa \ bbb | ||
| aaa \quad bbb | ||
| aaa \qquad bbb | ||
| aaa \hspace{ 10pt } bbb | ||
| aaa \! bbb | ||
| \tiny{ abc ABC } | ||
| \scriptsize{ abc ABC } | ||
| \small{ abc ABC } | ||
| \normalsize{ abc ABC } | ||
| \large{ abc ABC } | ||
| \Large{ abc ABC } | ||
| \LARGE{ abc ABC } | ||
| \huge{ abc ABC } | ||
| \Huge{ abc ABC } | ||
| \mathrm{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | ||
| \mathtt{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | ||
| \mathsf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | ||
| \mathcal{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } | ||
| \mathbf{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | ||
| \mathit{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | ||
| \mathbb{ ABCDEFGHIJKLMNOPQRSTUVWXYZ } | ||
| \mathscr{ ABCDEFGHIJKLMN \ OPQRSTUVWXYZ } | ||
| \mathfrak{ ABCDEFGHIJKLMNOPQRSTUVWXYZ \ abcdefghijklmnopqrstuvwxyz } | ||
| a^{ xy } | ||
| {}^{ xy } a | ||
| a_{ xy } | ||
| {}_{ xy } a | ||
| \begin{eqnarray}a_n^2 + a_{ n + 1 }^2 = a_{ 2n + 1 }\end{eqnarray} | ||
| \hat{ a } | ||
| \grave{ a } | ||
| \acute{ a } | ||
| \dot{ a } | ||
| \ddot{ a } | ||
| \bar{ a } | ||
| \vec{ a } | ||
| \check{ a } | ||
| \tilde{ a } | ||
| \breve{ a } | ||
| \widehat{ AAA } | ||
| \widetilde{ AAA } | ||
| \alpha | ||
| \beta | ||
| \gamma | ||
| \delta | ||
| \epsilon | ||
| \varepsilon | ||
| \zeta | ||
| \eta | ||
| \theta | ||
| \vartheta | ||
| \iota | ||
| \kappa | ||
| \lambda | ||
| \mu | ||
| \nu | ||
| \xi | ||
| o | ||
| \pi | ||
| \varpi | ||
| \rho | ||
| \varrho | ||
| \sigma | ||
| \varsigma | ||
| \tau | ||
| \upsilon | ||
| \phi | ||
| \varphi | ||
| \chi | ||
| \psi | ||
| \omega | ||
| A | ||
| B | ||
| \Gamma | ||
| \varGamma | ||
| \Delta | ||
| \varDelta | ||
| E | ||
| Z | ||
| H | ||
| \Theta | ||
| \varTheta | ||
| I | ||
| K | ||
| \Lambda | ||
| \varLambda | ||
| M | ||
| N | ||
| \Xi | ||
| \varXi | ||
| O | ||
| \Pi | ||
| \varPi | ||
| P | ||
| \Sigma | ||
| \varSigma | ||
| T | ||
| \Upsilon | ||
| \varUpsilon | ||
| \Phi | ||
| \varPhi | ||
| X | ||
| \Psi | ||
| \varPsi | ||
| \Omega | ||
| \varOmega | ||
| \S | ||
| \TeX | ||
| \LaTeX | ||
| 10^{1024} | ||
| E=mc^2 | ||
| e^{i\theta}=\cos\theta+i\sin\theta | ||
| i\hbar\frac{\partial\psi}{\partial t} = -\frac{\hbar^2}{2m}\frac{\partial^2\psi}{\partial x^2}+V(x,t)\psi | ||
| \frac{\partial^2 z}{\partial t^2}=c^2 (\frac{\partial^2 z}{\partial x^2}+\frac{\partial^2 z}{\partial y^2})-\mu \frac{\partial z}{\partial t} | ||
| G_{\mu\nu}+\Lambda g_{\mu\nu}=\frac{8\pi G}{c^4}T_{\mu\nu} | ||