> LaTeX General
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LaTeX Math Command

Cat: SCO
Pub: 2016
#1601a

Kanzo Kobayashi　　$\frac{1}{x^{10}}$

up 16119

Name

LaTeX command

LaTeX Sample

>Top <A1>:

1. absolute-1
2. parentheses
3. parentheses-2
4. parentheses-3
5. parentheses-4
6. parentheses-5
7. parentheses-6
8. accent
9. vector

<A1>:

1. \bigl| |x|+|y| \bigr|$
2. \left( \right) \{ \} \left[ \right]$
3. \bigl\{a_k\bigm| k \in \{1,2,3\} \bigr\}$
4. \bigl\{ax+b \bigr\}\ \left(ax+b \right)\ \bigl(ax+b \bigr)\ \left[ax+b \right]\ \bigl[ax+b \bigr]$
5. \left( \dfrac{A}{B} \right)$
6. \left(x^2 \right.$
7. \left( \dfrac{A}{B} \middle/ \dfrac{C}{D} \right)$
8. \overrightarrow{a}\ \vec{a}\ \acute{a}\ \grave{a}\ \hat{a}\ \bar{a}\ \breve{a}\
   \check{a}\ \tilde{a}\ \dot{a}\
   \ddot{a}\ \dddot{a}\ \ddddot{a}
9. \vec{a}=\vec{b}+\vec{c}\\
   \vec{ab}=\vec{AC}=\overrightarrow{AB}
   +\overrightarrow{ABC}

<A1>:

1. $\bigl| |x|+|y| \bigr|$
2. $\left( \right) \{ \} \left[ \right]$
3. $\bigl\{a_k\bigm| k \in \{1,2,3\} \bigr\}$
4. $\bigl\{ax+b \bigr\}\ \left(ax+b \right)\ \bigl(ax+b \bigr)\ \left[ax+b \right]\ \bigl[ax+b \bigr]$
5. $\left( \dfrac{A}{B} \right)$
6. $\left(x^2 \right.$
7. $\left( \dfrac{A}{B} \middle/ \dfrac{C}{D} \right)$
8. $\overrightarrow{a}\ \vec{a}\ \acute{a}\ \grave{a}\ \hat{a}\ \bar{a}\ \breve{a}\ \check{a}\ \tilde{a}\ \dot{a}\ \ddot{a}\ \dddot{a}\ \ddddot{a}$
9. $\vec{a}=\vec{b}+\vec{c}\\ \vec{ab}=\vec{AC}=\overrightarrow{AB} +\overrightarrow{ABC}$

>Top <A2>:

1. acute
2. aleph
3. amalgamation
4. angle
5. approximately
6. arc cosine
7. asymptotically equal to

<A3>:

1. \acute{expression}$
2. \aleph$
3. \amalg$
4. \angle$
5. \approx$
6. \arccos \ \arcsin \ \arctan$
7. \asymp$

<A4>:

1. $\acute{expression}$
2. $\aleph$
3. $\amalg$
4. $\angle$
5. $\approx$
6. $\arccos \ \arcsin \ \arctan$
7. $\asymp$

>Top <A3>:

1. accent
2. acute
3. aleph
4. align-1
5. align-2
6. aling-3
7. amalgamation
8. amalg
9. angle
10. angle/surd
11. approx equal-1
12. approx equal-2
13. approx equal-3
14. approx equal-4
15. arc cosine

<A3>:

1. \hat{a}\ \dot{a}\ \ddot{a}\ \bar{a}\ \acute{a}\ \check{a}\ \grave{a}\ \vec{a}\ \breve{a}\ \tilde{a}$
2. \acute{expression}$
3. \aleph\ \beth\ \daleth\ \S\ \cdot\ \bullet\ \circ\ \diamond\ \ast\ \star\ \wr\ \prime$
4. begin{align*}
   2x-5y &=8\\
   3x+9y &=-12
   end{align*}$
5. begin{alignat}{2}
   (a+b)^2 &=a^2+2ab+b^2 &\qquad & \text{展開}\\
   &= a(a+2b)+b^2 ˆˆ& & \text{$a$で括る}
   end{alignat}$
6. begin{multline}
   a+b+c+d+e+f+g+h+i+j+k \\
   +l+m+n+o+p+q+r+s+y+u+v \\
   +w+x+y+z+\alpha+\beta+\gamma+\delta
   end{multline}$
7. \alpha$
8. \amalg$
9. \angle\ \measuredangle\ \sphericalangle\ \surd$
10. \angle \mathrm{B}=30^{\circ}$
11. \approx\ \approxeq\ \cong\ \backsim\ \backsimeq\ \asymp\ \eqsim$
12. \fallingdotseq\ \doteq\ \doteqdot\ \circeq$
13. \bumpeq\ \Bumpeq\ \eqcirc\ \gtreqless\ \gtreqqless$
14. \lneq\ \lnapprox\ \lessapprox\ \lesseqgtr\ \lesseqqgtr\ \lesssim\ \lvertneqq$
15. \arccos \ \arcsin \ \arctan$

<A3>:

1. $\hat{a}\ \dot{a}\ \ddot{a}\ \bar{a}\ \acute{a}\ \check{a}\ \grave{a}\ \vec{a}\ \breve{a}\ \tilde{a}$
2. $\acute{expression}$
3. $\aleph\ \beth\ \daleth\ \S\ \cdot\ \bullet\ \circ\ \diamond\ \ast\ \star\ \wr\ \prime$
4. $\begin{align*} 2x-5y &=8\\ 3x+9y &=-12 \end{align*}$
5. $\begin{alignat}{2} (a+b)^2 &=a^2+2ab+b^2 &\qquad & \text{展開}\\ &= a(a+2b)+b^2 ˆˆ& & \text{$a$で括る} \end{alignat}$
6. $\begin{multline} a+b+c+d+e+f+g+h+i+j+k \\ +l+m+n+o+p+q+r+s+y+u+v \\ +w+x+y+z+\alpha+\beta+\gamma+\delta \end{multline}$
7. $\alpha$
8. $\amalg$
9. $\angle\ \measuredangle\ \sphericalangle\ \surd$
10. $\angle \mathrm{B}=30^{\circ}$
11. $\approx\ \approxeq\ \cong\ \backsim\ \backsimeq\ \asymp\ \eqsim$
12. $\fallingdotseq\ \doteq\ \doteqdot\ \circeq$
13. $\bumpeq\ \Bumpeq\ \eqcirc\ \gtreqless\ \gtreqqless$
14. $\lneq\ \lnapprox\ \lessapprox\ \lesseqgtr\ \lesseqqgtr\ \lesssim\ \lvertneqq$
15. $\arccos\ \arcsin\ \arctan$

>Top <A4>:

1. arrow (right)
   やじるし
2. arrow (left)
3. arrow+character
4. arrow (dash)
5. arrow (leftright)
6. arrow (mapsto)
7. arrow (harpoon)
8. arrow (tail)
9. arrow (twohead)
10. arrow (not)
11. arrow (double not)
12. arrow (up/down harpoon)
13. arrow (up/down)
14. arrow (oblique)
15. arrow (curved)
16. arrow (loop)
17. arrow (extendable)
18. arrow (extendable){upper}
19. vertical line
20. asymptotically equal
21. asymptotically equal to
22. marks

<A4>:

1. \rightarrow\ \Rightarrow\ \Rrightarrow\ \longrightarrow\ \Longrightarrow$
2. \leftarrow\ \Leftarrow\ \Lleftarrow\ \longleftarrow\ \Longleftarrow$
3. \xrightarrow[lower]{upper character}$
4. \dashrightarrow\ \dashleftarrow$
5. \leftrightarrow\ \Leftrightarrow\ \longleftrightarrow\ \Longleftrightarrow$
6. \mapsto\ \longmapsto\ \hookrightarrow\ \hookleftarrow\ \leadsto\ \leftrightsquigarrow$
7. \rightharpoonup\ \rightharpoondown\ \leftharpoonup\ \leftharpoondown\ \rightleftharpoons\ \leftrightharpoons$
8. \rightarrowtail\ \leftarrowtail$
9. \twoheadrightarrow\ \twoheadleftarrow$
10. \nrightarrow\ \nleftarrow$
11. \nleftrightarrow\ \nLeftrightarrow$
12. \downharpoonright\ \downharpoonleft\ \upharpoonright\ \upharpoonleft$
13. \uparrow\ \Uparrow\ \downarrow\ \Downarrow\ \updownarrow\ \Updownarrow$
14. \nearrow\ \searrow\ \swarrow\ \nwarrow$
15. \curvearrowright\ \curvearrowleft\ \circlearrowright\ \circlearrowleft$
16. \looparrowright\ \looparrowleft\ \leadsto$
17. [ \text{Java source}\xrightarrow{\text{javac compiler}}\text{class file} $]
18. \xrightarrow{\text{k_1,K_r}}$
19. \|\ \backslash$
20. \simeq$
21. \asymp$
22. \multimap\ \neg$

<A4>:

1. $\rightarrow\ \Rightarrow\ \Rrightarrow\ \longrightarrow\ \Longrightarrow$
2. $\leftarrow\ \Leftarrow\ \Lleftarrow\ \longleftarrow\ \Longleftarrow$
3. $\xrightarrow[lower]{upper character}$
4. $\dashrightarrow\ \dashleftarrow$
5. $\leftrightarrow\ \Leftrightarrow\ \longleftrightarrow\ \Longleftrightarrow$
6. $\mapsto\ \longmapsto\ \hookrightarrow\ \hookleftarrow\ \leadsto\ \leftrightsquigarrow$
7. $\rightharpoonup\ \rightharpoondown\ \leftharpoonup\ \leftharpoondown\ \rightleftharpoons\ \leftrightharpoons$
8. $\rightarrowtail\ \leftarrowtail$
9. $\twoheadrightarrow\ \twoheadleftarrow$
10. $\nrightarrow\ \nleftarrow\ \nRightarrow\ \nLeftarrow\ \nleftrightarrow\ \nLeftrightarrow$
11. $\nleftrightarrow\ \nLeftrightarrow$
12. $\downharpoonright\ \downharpoonleft\ \upharpoonright\ \upharpoonleft$
13. $\uparrow\ \Uparrow\ \upuparrows\ \downarrow\ \Downarrow\ \downdownarrows\ \updownarrow\ \Updownarrow$
14. $\nearrow\ \searrow\ \swarrow\ \nwarrow$
15. $\curvearrowright\ \curvearrowleft\ \circlearrowright\ \circlearrowleft$
16. $\looparrowright\ \looparrowleft\ \leadsto$
17. $[ \text{Java source}\xrightarrow{\text{javac compiler}}\text{class file}$]
18. $\xrightarrow{\text{k_1,K_r}}$
19. $\|\ \backslash$
20. $\simeq$
21. $\asymp$
22. $\multimap\ \neg$

>Top <A5>:

1. equation
2. ひょう
3. array caption
4. array
5. array line
6. array line2

<A5>:

1. begin{align*}
   x&=y & w&=z & a &=b+c\\
   2x&=-y & 3w&=\dfrac{1}{2}z & a & =b\\
   -4+5x&=2+y & w+2&=-1+w & ab & =cb
   \end{align*}
2. begin{array}{c|l}a&1\\ \hline b&2\end{array}
3. \frac{\ begin{array}{c}Caption\\ \end{array}}{\ begin{array}{c|l}a&1\\ \hline b&2\end{array}}
4. begin{array}{lc|r}
   a+b & c & d+e\\
   A & B & C\\ \hline
   1 & 2 & 3
   \end{array}
5. begin{array}{|c|c|c|c|c|} \hline
   0 & 1 & 2 & 3 & 4 \\ \hline
   5 & 6 & 7 & 8 & 9 \\ \hline
   \end{array}
6. begin{array}{|l|c|r||r|} \hline メニュー & サイズ & 値段 & カロリー \\ \hline \hline 牛丼 & 並盛 & 500円 & 600 kcal \\ 牛丼 & 大盛 & 1,000円 & 800 kcal \\ 牛丼 & 特盛 & 1,500円 & 1,000 kcal \\ \hline 牛皿 & 並盛 & 300円 & 250 kcal \\ 牛皿 & 大盛 & 700円 & 300 kcal \\ 牛皿 & 特盛 & 1,000円 & 350 kcal \\ \hline \end{array}
   

<A5>:

1. $\begin{align*} x&=y & w&=z & a &=b+c\\ 2x&=-y & 3w&=\dfrac{1}{2}z & a&=b\\ -4+5x&=2+y & w+2&=-1+w & ab&=cb \end{align*}$
2. $\begin{array}{c|l}a&1\\ \hline b&2\end{array}$
3. $\frac{\begin{array}{c}Caption\\ \end{array}} {\begin{array}{c|l}a&1\\ \hline b&2\end{array}}$
4. $\begin{array}{lc|r} a+b & c & d+e\\ A & B & C\\ \hline 1 & 2 & 3 \end{array}$
5. $\begin{array}{|c|c|c|c|c|} \hline 0 & 1 & 2 & 3 & 4 \\ \hline 5 & 6 & 7 & 8 & 9 \\ \hline \end{array}$
6. $\begin{array}{|l|c|r||r|} \hline メニュー & サイズ & 値段 & カロリー \\ \hline \hline 牛丼 & 並盛 & 500円 & 600 kcal \\ 牛丼 & 大盛 & 1,000円 & 800 kcal \\ 牛丼 & 特盛 & 1,500円 & 1,000 kcal \\ \hline 牛皿 & 並盛 & 300円 & 250 kcal \\ 牛皿 & 大盛 & 700円 & 300 kcal \\ 牛皿 & 特盛 & 1,000円 & 350 kcal \\ \hline \end{array}$
   

1. begin{array}{ccc}
   1 & 3 & 5\\
   13 & 35 & 51\\
   135 & 351 & 513\\
   3 & 5 & 7
   \end{array}
2. begin{array}{rrr}
   1 & 3 & 5\\
   13 & 35 & 51\\
   135 & 351 & 513\\
   3 & 5 & 7
   \end{array}
3. begin{array}{lll}
   1 & 3 & 5\\
   13 & 35 & 51\\
   135 & 351 & 513\\
   3 & 5 & 7
   \end{array}
4. begin{equation} f(x)= begin{cases}
   -x^2 & \mbox{$x<0$ のとき}\\
   x & \mbox{$0\leq x <1$ のとき}\\
   x^3 & \mbox{$x\geq 1$ のとき}
   \end{cases} \end{equation}

1. $$\begin{array}{ccc} 1 & 3 & 5\\ 13 & 35 & 51\\ 135 & 351 & 513\\ 3 & 5 & 7 \end{array}$$
2. $$\begin{array}{rrr} 1 & 3 & 5\\ 13 & 35 & 51\\ 135 & 351 & 513\\ 3 & 5 & 7 \end{array}$$
3. $$\begin{array}{lll} 1 & 3 & 5\\ 13 & 35 & 51\\ 135 & 351 & 513\\ 3 & 5 & 7 \end{array}$$
4. $$\begin{equation} f(x)= \begin{cases} -x^2 & \mbox{$x<0$ のとき}\\ x & \mbox{$0\leq x <1$ のとき}\\ x^3 & \mbox{$x\geq 1$ のとき} \end{cases} \end{equation}$$

>Top <B1>:

1. backepsilon
2. backprime
3. backsim
4. backslash
5. bar
6. double bar
7. barwedge
8. Bbbk
9. because/therefore
10. beta
11. beth
12. between
13. big cap/big cup/big U plus
14. big circle/ big circled dot
15. big square cap/cup
16. big triangel down/up
17. big vee/wedge

<B1>:

1. \backepsilon$
2. \backprime$
3. \backsim$
4. \backslash$
5. \bar{x}\ \overline{x}\ \overline{xyz}\ \bar{xyz}$
6. \bar{\bar\tau}\quad\ \bar{\bar a}\ \overline{\overline x}\quad$
7. \barwedge$
8. \Bbbk$
9. \because\ \therefore$
10. \beta$
11. \beth\ \gimel\ \daleth$
12. \between$
13. \bigcap\ \bigcup\ \biguplus$$
14. \bigcirc\ \bigodot \ \bigoplus \ \bigotimes$
15. \bigsqcap\ \bigsqcup$
16. \bigtriangledown \ \bigtriangleup$
17. \bigvee \ \bigwedge$

<B1>:

1. $\backepsilon$
2. $\backprime$
3. $\backsim$
4. $\backslash$
5. $\bar{x}\ \overline{x}\ \overline{xyz}\ \bar{xyz}$
6. $\bar{\bar\tau}\quad\ \bar{\bar a}\ \overline{\overline x}\quad$
7. $\barwedge$
8. $\Bbbk$
9. $\because\ \therefore$
10. $\beta$
11. $\beth\ \gimel\ \daleth$
12. $\between$
13. $\bigcap\ \bigcup\ \biguplus$
14. $\bigcirc\ \bigodot\ \bigoplus\ \bigotimes$
15. $\sqcap\ \bigsqcup$
16. $\bigtriangledown\ \bigtriangleup$
17. $\bigvee\ \bigwedge$

>Top <B2>:

1. binomial coefficient
2. binomial coefficient (text style)
3. binomial coefficient (display style)
4. blackboard math font
5. black lozenge/square
6. black triangle (down)
7. black triangel left/right
8. bottom/bowtie
9. box/boxdot/boxtimes
10. boxminus/boxplus/ boxtimes
11. fixed box
12. overline
13. braced fraction
14. bracevert
15. bracketed fraction
16. breve
17. build relation
18. bullet
19. Bumpeq/bumpeq

<B2>:

1. \binom{upper}{lower}$
2. \tbinom{upper}{lower}$
3. \dbinom{upper}{lower}$
4. \mathbb{math}$
5. \blacklozenge \ \blacksquare$
6. \blacktriangle \ \blacktriangledown$
7. \blacktriangleleft \ \blacktriangleright$
8. \bot \ \bowtie$
9. Box\ \boxdot\ \boxed{text}\ \fbox{test}
10. \boxminus \ \boxplus \ \boxtimes$
11. This\ \fbox{ABC}\ is\, correct\;space\ more\ \space.
12. \overline{overline}
13. \brace$
14. \bracevert$
15. \brack$
16. \breve{expression}$
17. \buildrel{upper}\over{lower}$
18. \bullet$
19. \Bumpeq\ \bumpeq$

<B2>:

1. $\binom{upper}{lower}$
2. $\tbinom{upper}{lower}$
3. $\dbinom{upper}{lower}$
4. $\mathbb{math}$
5. $\blacklozenge\ \blacksquare$
6. $\blacktriangle\ \blacktriangledown$
7. $\blacktriangleleft\ \blacktriangleright$
8. $\bot\ \bowtie$
9. $\Box\ \boxdot\ \boxed{text}\ \fbox{test}$
10. $\boxminus\ \boxplus\ \boxtimes$
11. $This\ \fbox{ABC}\ is\, correct\;space\ more\ \space.$
12. $\overline{overline}\\ \underline{underline}\\ \underline{\underline{doubleunderline}}$
13. $\brace$
14. $\bracevert$
15. $\brack$
16. $\breve{expression}$
17. $\buildrel{upper}\over{lower}$
18. $\bullet$
19. $\Bumpeq\ \bumpeq$

>Top <C1>:

1. caligraphic font
2. cap/cup/Cap/Cup
3. Cap (square)/ Cup (square)
4. けーす
5. cases-1
6. cases-2
7. cases-3
8. cases-4
9. ceiling / floor function
10. center dot
11. cdotp
12. centerdot
13. check
14. checkmark
15. chemical element
16. chemical equation
17. chemical equation2
18. chi
19. choose k
20. circle
21. circeq
22. circlearrow left/right
23. circledast
24. big circled dot
25. circled plus/circled slash/circled times

<C1>:

1. \cal{text}$
2. \cap\ \cup\ \Cap\ \Cup$
3. \sqcap\ \sqcup\ \prod\ \coprod\ \biguplus$
4. \cases{a&b\\c&d}
5. \cases{e1, & c1 \cr e2, & c2}$
6. begin{cases}
   a=b\cos{C}+c\cos{B} \\
   b=c\cos{A}+a\cos{C} \\
   c=a\cos{B}+b\cos{A}
   \end{cases}$
7. begin{equation}
   \lvert x\rvert=\begin{cases}
   x&\text{when, $x \ge 0$}\\
   -x&\text{otherwise}
   \end{cases
   \end{equation}
8. |x|=\begin{cases}
   x & \text (when, x \ge 0)\\
   -x & \text (otherwise)
   \end{cases
9. \lceil x \rceil\ \lfloor x \rfloor$
10. \cdot$
11. \cdotp$
12. \cdots$
13. \check{expression}$
14. \checkmark$
15. _{\;6}^{12}\mathrm{C}\; {}^2_1\mathrm{H}\ \;0^\circ\mathrm{C}$
16. NaNO$_3
17. HF(aq) +H_{2}O(l) \rightleftharpoons H_{3}O^{+} (aq) +F^{-}(aq)$
18. \chi$
19. \choose k$
20. \circ$
21. \circeq$
22. \circlearrowleft \ \circlearrowright$
23. \circledast\ \circledcirc\ \circleddash\ \\circledR\ \circledS$
24. \bigcircle\ \bigodot\ \bigoplus\ \bigotimes$
25. \odot\ \oplus\ \ominus\ \oslash\ \otimes$

<C1>:

1. $\cal{text}$
2. $\cap\ \cup\ \Cap\ \Cup\ \displaystyle\bigcup_{k=1}^n{A_k}\ \displaystyle\bigcap_{k=1}^n{A_k}\ $
3. $\sqcap\ \sqcup\ \prod\ \coprod\ \biguplus$
4. $\cases{a&b\\c&d}$
5. $\cases{e1, & c1 \cr e2, & c2}$
6. $\begin{cases} a=b\cos{C}+c\cos{B} \\ b=c\cos{A}+a\cos{C} \\ c=a\cos{B}+b\cos{A} \end{cases}$
7. $\begin{equation} \lvert x\rvert=\begin{cases} x&\text{when, $x \ge 0$}\\ -x&\text{otherwise} \end{cases} \end{equation}$
8. $|x|=\begin{cases} x & \text (when, x \ge 0)\\ -x & \text (otherwise) \end{cases}$
9. $\lceil x \rceil\ \lfloor x \rfloor$
10. $\cdot$
11. $\cdotp$
12. $\cdots$
13. $\check{expression}$
14. $\checkmark$
15. $_{\;6}^{12}\mathrm{C}\; {}^2_1\mathrm{H}\ \;0^\circ\mathrm{C}$
16. NaNO$_3$
17. $HF(aq) +H_{2}O(l) \rightleftharpoons H_{3}O^{+} (aq) +F^{-}(aq)$
18. $\chi$
19. $\choose k$
20. $\circ$
21. $\circeq$
22. $\circlearrowleft\ \circlearrowright$
23. $\circledast\ \circledcirc\ \circleddash\ \circledR\ \circledS$
24. $\bigcirc\ \bigodot\ \bigoplus\ \bigotimes$
25. $\odot\ \oplus\ \ominus\ \oslash\ \otimes$

>Top <C2>

1. centering1
2. centering2
3. centering3
4. centering4
5. color

1. begin{equation}
   y=ax^2+bx+c
   \end{equation}
2. begin{eqnarray}
   E=mc^2
   \end{eqnarray}
   
3. [ E=mc^2 \]
   
4. 数式を改行する場合は、
   [y=ax^2+bx+c \]
   のように書く
5. $\displaystyle\sum_
   {\color{0A7C10}n=0}^
   {\color{red}\infty}a_n x^n

1. $$\begin{equation} y=ax^2+bx+c \end{equation}$$
2. $$\begin{eqnarray} E=mc^2 \end{eqnarray}$$
3. $$E=mc^2$$
4. 数式を改行する場合は、
   $$y=ax^2+bx+c$$
   のように書く
5. $\displaystyle\sum _{\color{0A7C10}n=0}^ {\color{red}\infty}a_n x^n$

>Top <C3>:

1. closed integral/closed integral (snippet)
2. club suit
3. colon-1
4. colon-2
5. color
6. complement
7. combination-1
8. combination-2/ permutation/ repeated permutation
9. complement
10. contains as member
11. coproduct
12. coproduct (snippet)
13. cosecant
14. cosine/cotangent/
15. operator name
16. cup/cap
17. curlyeqrec/ curlyeqsucc
18. curvearrowleft/ arrowright
19. chapter-1
20. chapter-2
21. chapter-3
22. chapter-4
23. chapter-5
24. chapter-6

<C2>:

1. \oint\ \oint_{region}$
2. \clubsuit\ \diamondsuit\ \heartsuit\ \spadesuit$
3. \colon$
4. f : A\to B\; f{:}\ \ A\to B\ \;f\colon A \to B$
5. $\color{red}{text},
   \color{blue}{text},\\
   \color{green}{text},
   \color{yellow}{text},\\
   \color{magenda}{text},
   \color{white}{text},\\
   \color{black}{text}
6. \complement$
7. {}_nC_k\ \= _nC_k$
8. \ begin{eqnarray}
   {}_nC_k
   \ end{eqnarray}
   \ begin{eqnarray}
   {}_nP_k
   \ end{eqnarray}
   begin{eqnarray}
   {}_n\Pi_k
   \ end{eqnarray}$
9. \complement$
10. \ni$
11. \coprod$
12. \coprod_{lower}^{upper}expression$
13. \csc$
14. \cos\ \cot$
15. operatorname{operator}$
16. \cup\ \cap\ \sqcup\ \sqcap\ \bigcup\ \bigcap\ \biguplus$
17. \curlyeqprec\ \curlyeqsucc$
18. \curvearrowleft\ \curvearrowright$
19. \S\ \div\ \ast\ \star\ \circ\ \bigcirc
    
20. \bullet\ \diamond\ \Diamond\ \Box\ \dagger\ \ddagger
    
21. \triangleright\ \triangleleft\ \bigtriangleup\ \bigtriangledown\ \lhd\ \rhd
    
22. \oplus\ \ominus\ \otimes\ \oslash\ \odot\ \bigodot\ \bigotimes\ \bigoplus
    
23. \ll\ \gg\ \in\ \ni\ \mid\ \equiv\ \angle\ \triangle
    
24. \lceil\ \rceil\ \lfloor\ \rfloor\ \top\ \bot\ \bigvee\ \bigwedge\ \smile

<C2>:

1. $\oint\ \oint_{region}$
2. $\clubsuit\ \diamondsuit\ \heartsuit\ \spadesuit$
3. $\colon$
4. $f : A\to B\; f{:}\ \ A\to B\ \;f\colon A \to B$
5. $\color{red}{text}, \color{blue}{text},\\ \color{green}{text}, \color{yellow}{text},\\ \color{magenda}{text}, \color{white}{text},\\ \color{black}{text}$
6. $\complement$
7. ${}_nC_k\ \ =_nC_k$
8. $\begin{eqnarray} {}_nC_k \end{eqnarray}$
   $\begin{eqnarray} {}_nP_k \end{eqnarray}$
   $\begin{eqnarray} {}_n\Pi_k \end{eqnarray}$
9. $\complement$
10. $\ni$
11. $\coprod$
12. $\coprod_{lower}^{upper}expression$
13. $\csc$
14. $\cos\ \cot$
15. $operatorname{operator}$
16. $\cup\ \cap\ \sqcup\ \sqcap\ \bigcup\ \bigcap\ \biguplus$
17. $\curlyeqprec\ \curlyeqsucc$
18. $\curvearrowleft\ \curvearrowright$
19. $\S\ \div\ \ast\ \star\ \circ\ \bigcirc$
    
20. $\bullet\ \diamond\ \Diamond\ \Box\ \dagger\ \ddagger$
    
21. $\triangleright\ \triangleleft\ \bigtriangleup\ \bigtriangledown\ \lhd\ \rhd$
    
22. $\oplus\ \ominus\ \otimes\ \oslash\ \odot\ \bigodot\ \bigotimes\ \bigoplus$
    
23. $\ll\ \gg\ \in\ \ni\ \mid\ \equiv\ \angle\ \triangle$
    
24. $\lceil\ \rceil\ \lfloor\ \rfloor\ \top\ \bot\ \bigvee\ \bigwedge\ \smile$

>Top <D1>:

1. dagger/double dagger
2. daleth
3. dashleftarrow/rightarrow
4. degree
5. delta/Delta
6. determinant
7. diagdown/up
8. diamond/Diamond/ diamond suit
9. digamma
10. dimension
11. direct limit
12. divide/divideontimes/multiply
13. divide/not divide
14. not greater than

<D1>:

1. \dagger\ \ddagger$
2. \daleth$
3. \dashleftarrow\ \dashrightarrow$
4. \deg$
5. \delta\ \Delta\ \varDelta$
6. \det$
7. \diagdown\ \diagup$
8. \diamond\ \Diamond\ \diamondsuit$
9. \digamma\ \Box$
10. \dim$
11. \varinjlim$
12. \div\ \divideontimes \times$
13. \mid\ \nmid$
14. \ngeq\ \ngeqq\ \nleq\ \nleqq$

<D1>:

1. $\dagger\ \ddagger$
2. $\daleth$
3. $\dashleftarrow\ \dashrightarrow$
4. $\deg$
5. $\delta\ \Delta\ \varDelta$
6. $\det$
7. $\diagdown\ \diagup$
8. $\diamond\ \Diamond\ \diamondsuit\ \lozenge\ \blacklozenge$
9. $\digamma\ \Box$
10. $\dim$
11. $\varinjlim$
12. $\div\ \divideontimes \times$
13. $\mid\ \nmid$
14. $\ngeq\ \ngeqq\ \nleq\ \nleqq\ \nless\ \ngtr$

>Top <D2>:

1. dot/double dot
2. equals with dot/ doteq/ doteqdot
3. rising dots/falling dots
4. dots/dots between binary opertors/ dots between commas/ dots between integrals/ multiplication dots/ other dots
5. ldots/cdots/vdots/ ddots/cdot
6. dots-1
7. dots-2
8. dotplus
9. doublebarwedge
10. double integral
11. down arrow (double)/ down arrow/downdownarrows/ up arrow (double)/ uparrow/ upuparrows
12. downharpoonleft/right/ upharpoonleft/right

<D2>:

1. \dot{x}\ \ddot{y}\ \dot{expression}\ \ddot{expression}
2. \doteq\ \doteq\ \doteqdot$
3. \fallingdotseq\ \reisingdotseq$
4. \dots\ \dotsc\ \dotsi\ \dotsm\ \dotso$
5. \ldots\ \cdots\ \vdots\ \ddots\ \cdot$
6. \dotplus$
7. a_1,a_2,\dots,a_n$
8. a_1+a_2+\dots+a_n$
9. \doublebarwedge$
10. \iint$
11. \Downarrow\ \downarrow\ \downdownarrows\ \Uparrow\ \uparrow\ \upuparrows$
12. \downharpoonleft\ \downharpoonright\ \upharpoonleft\ \upharpoonright$

<D2>:

1. $\dot{x}\ \ddot{y}\ \dot{expression}\ \ddot{expression}$
2. $\doteq\ \doteq\ \doteqdot\ \divideontimes$
3. $\fallingdotseq\ \risingdotseq$
4. $\dots\ \dotsc\ \dotsi\ \dotsm\ \dotso$
5. $\ldots\ \cdots\ \vdots\ \ddots\ \cdot$
6. $\dotplus$
7. $a_1,a_2,\dots,a_n$
8. $a_1+a_2+\dots+a_n$
9. $\doublebarwedge$
10. $\iint$
11. $\Downarrow\ \downarrow\ \downdownarrows\ \Uparrow\ \uparrow\ \upuparrows$
12. $\downharpoonleft\ \downharpoonright\ \upharpoonleft\ \upharpoonright$

1. display

1. begin{equation}
   \sum_{k=1}^nk=\frac{1}{2}n(n+1)
   \end{equation}
   
2. begin{equation}
   \int_0^\infty e^{-ax^2}dx=\frac{1}{2}\sqrt{\frac{\pi}{a}}
   \end{equation}

1. $$\begin{equation} \sum_{k=1}^nk=\frac{1}{2}n(n+1) \end{equation}$$
   
2. $$\begin{equation} \int_0^\infty e^{-ax^2}dx=\frac{1}{2}\sqrt{\frac{\pi}{a}} \end{equation}$$

>Top <E>:

1. empty set/infinity
2. epsilon/varepsilon/ backepsilon
3. eqcirc
4. eqslantgtr/eqslantless
5. equation
6. equivalent-1
7. equivalent-2
8. equivalent-3
9. not equivalent (sample)
10. eta
11. eth
12. exponential
13. exists/for all
14. extended right arrow/ extended left arrow

<E>:

1. \emptyset\ \infty\ \propto\ \parallel\ \perp\ \times$
2. \epsilon\ \varepsilon\ \backepsilon$
3. \eqcirc\ \eqsim$
4. \eqslantgtr\ \eqslantless$
5. \cases{a&b\\c&d}
6. \begin{equation}
   f(x)=\left\{
   \begin{array}{l}
   1\; (x=1)\\
   0\; (x\ne 1)
   \end{array}
   \right.
   \end {equation}
7. \equiv\ \simeq\ \eqsim\ \sim\ \approx\ \neq\ \doteq\ \cong$
8. \fallingdotseq\ \lessgtr\ \gtrless\ \lesseqgtr\ \lesseqqgtr$
9. \gtreqless\ \gtreqqless$
10. A \not \equiv B$
11. \eta$
12. \eth$
13. \exp$
14. \exists\ ^\exists X\ \nexists\ \forall\ \Finv\ \Game\ \complement$
15. ^{\forall}\epsilon\
    ^{\exists}\delta\ ^{12}\mathrm{C}\
    ^{35}_{16}SO^{2-}_{4}
16. \xrightarrow[lower]{upper}\ \xleftarrow[lower]{upper}$

<E>:

1. $\emptyset\ \infty\ \propto\ \parallel\ \perp\ \times$
2. $\epsilon\ \varepsilon\ \backepsilon$
3. $\eqcirc\ \asymp$
4. $\eqslantgtr\ \eqslantless$
5. $\cases{a&b\\c&d}$
6. $\begin{equation} f(x)=\left\{ \begin{array}{l} 1\; (x=1)\\ 0\; (x\ne 1) \end{array} \right. \end {equation}$
7. $\equiv\ \simeq\ \eqsim\ \sim\ \approx\ \neq\ \doteq\ \cong$
8. $\fallingdotseq\ \lessgtr\ \gtrless\ \lesseqgtr\ \lesseqqgtr$
9. $\gtreqless\ \gtreqqless$
10. $A \not \equiv B$
11. $\eta$
12. $\eth$
13. $\exp$
14. $\exists\ ^\exists X\ \nexists\ \forall\ \Finv\ \Game\ \complement$
15. $^{\forall}\epsilon\ ^{\exists}\delta\ ^{12}\mathrm{C}\ ^{35}_{16}SO^{2-}_{4}$
16. $\xrightarrow[lower]{upper}\ \xleftarrow[lower]{upper}$

>Top <F>:

1. fallingdotseq
2. finv
3. flat/sharp/natural
4. for all/exists/ell
5. fork
6. わり/はん
7. fraction
8. fraction (continued)
9. fraction (display style)
10. fraction (text style)
11. fraction (sample)
12. fraction displaystyle
13. fraction (continued-2)
14. fraction (continued-3)
15. Fraktur I
16. Fraktur math font
17. Fractur R
18. frown

<F>:

1. \fallingdotseq$
2. \Finv$
3. \flat\ \sharp$
4. \forall\ {}^\forall \exists\ {}^\exists\ \ell$
5. \ptichfork$
6. \frac{*}{*}\ \frac{1}{2}$
7. \frac{upper}{lower}$
8. \cfrac{upper}{lower}$
9. \dfrac{upper}{lower}$
10. \tfrac{upper}{lower}$
11. \dfrac{d}{dx} \left(\dfrac{\log x}{x} \right)$
12. y=\dfrac{1+x}{1-x}$
    \displaystyle y=\dfrac{1+x}{1-x}
13. $\begin{equation}
    b_0+ \cfrac{c_1}{b_1+
    \cfrac{c_2}{b_2+
    \cfrac{c_3}{b_3+
    \cfrac{c_4}{b_4+\cdots}}}}
    \end{equation}
14. \Im$
15. \Re$
16. \mathfrak{math}$
17. \frown\ \smile\ \asymp\ \sim\ \approx$

<F>:

1. $\fallingdotseq$
2. $\Finv$
3. $\flat\ \sharp\ \natural$
4. $\forall\ {}^\forall \exists\ {}^\exists\ \ell$
5. $\pitchfork$
6. $\frac{*}{*}\ \frac{1}{2}$
7. $\frac{upper}{lower}$
8. $\cfrac{upper}{lower}$
9. $\dfrac{upper}{lower}$
10. $\tfrac{upper}{lower}$
11. $\dfrac{d}{dx} \left(\dfrac{\log x}{x} \right)$
12. $y=\dfrac{1+x}{1-x}$
    $\displaystyle y=\dfrac{1+x}{1-x}$
13. $\begin{equation} b_0+ \cfrac{c_1}{b_1+ \cfrac{c_2}{b_2+ \cfrac{c_3}{b_3+ \cfrac{c_4}{b_4+\cdots}}}} \end{equation}$
14. $\begin{equation} b_0+\frac{c_1}{b_1+{}}\, \frac{c_2}{b_2+{}}\, \frac{c_3}{b_3+{}}\, \frac{c_4}{b_4+{}}\, \dotsb \end{equation}$
15. $\Im$
16. $\Re$
17. $\mathfrak{math}$
18. $\frown\ \smile\ \asymp\ \sim\ \approx$

>Top <G>:

1. game
2. gamma/Gamma
3. GCD (great common divisor)
4. gets
5. gnapprox/gneq/ gneqq/ gnism
6. grave
7. greater than or equal to/less than or equal to
8. greater than or equal to (other)/geqq/greater than or equal to (slanted)
9. much greater than/ ggg/ gggtr
10. gt
11. lessdot
12. Greek
13. Greek (Capital)
14. other character

<G>:

1. \Game$
2. \gamma\ \Gamma\ \varGamma\ \digamma$
3. \gcd$
4. \gets$
5. \gnapprox\ \gneq\ \gneqq\ \gnsim$
6. \grave{expression}$
7. \ge\ \le$
8. \geq\ \geqq\ \geqslant$
9. \gg\ \ggg\ \gggtr$
10. \gt\ \gtrapprox\ \gtreqless\ \gtreqqless\ \gtrless\ \gtrsim\ \gvertneqq$
11. \lessdot\ \gtrdot\ \ltimes\ \rtimes$
12. \alpha\ \beta\ \gamma\ \delta\ \epsilon\ \zeta
    \eta\ \theta\ \iota\ \kappa\ \lambda\ \mu$
    \nu\ \xi\ \omicron\ \pi\ \rho\ \sigma
    \tau\ \upsilon\ \phi\ \chi\ \psi\ \omega
    \varepsilon\ \vartheta\ \varpi\ \varrho\ \varsigma\ \varphi
13. \Alpha\ \Beta\ \Gamma\ \Delta\ \Epsilon\ \Zeta\
    \Eta\ \Theta$
    \Iota\ \Kappa\ \Lambda\ \Mu\ \Nu\ \Xi\ \Omicron
    \Pi\ \Rho\ \Sigma\ \Tau\ \Upsilon\ \Phi\ \Chi\ \Psi\ \Omega\ \varDelta
14. \aleph\ \beth\ \daleth\ \gimel\ \complement
    \ell\ \eth\ \hbar\ \hslash\ \mho\ \partial\ \wp\ \Re\ \Im

<G>:

1. $\Game$
2. $\gamma\ \Gamma\ \varGamma\ \digamma$
3. $\gcd$
4. $\gets$
5. $\gnapprox\ \gneq\ \gneqq\ \gnsim$
6. $\grave{expression}$
7. $\ge\ \le$
8. $\geq\ \geqq\ \geqslant$
9. $\gg\ \ggg\ \gggtr$
10. $\gt\ \gtrapprox\ \gtreqless\ \gtreqqless\ \gtrless\ \gtrsim\ \gvertneqq$
11. $\lessdot\ \gtrdot\ \ltimes\ \rtimes$
12. $\alpha\ \beta\ \gamma\ \delta\ \epsilon\ \zeta$
    $\eta\ \theta\ \iota\ \kappa\ \lambda\ \mu$
    $\nu\ \xi\ \omicron\ \pi\ \rho\ \sigma$
    $\tau\ \upsilon\ \phi\ \chi\ \psi\ \omega$
    $\varepsilon\ \vartheta\ \varpi\ \varrho\ \varsigma\ \varphi$
13. $\Alpha\ \Beta\ \Gamma\ \Delta\ \Epsilon\ \Zeta\ \Eta\ \Theta$
    $\Iota\ \Kappa\ \Lambda\ \Mu\ \Nu\ \Xi\ \Omicron$
    $\Pi\ \Rho\ \Sigma\ \Tau\ \Upsilon\ \Phi\ \Chi\ \Psi\ \Omega\ \varDelta$
14. $\aleph\ \beth\ \daleth\ \gimel\ \complement$
    $\ell\ \eth\ \hbar\ \hslash\ \mho\ \partial\ \wp\ \Re\ \Im$

     

     

>Top <H>:

1. hat-1
2. hat-2
3. hat-3
4. hbar/hslash
5. heart suit
6. hbox{##text##}
7. hom
8. hook left arrow/ right arrow
9. hyperbolic cosine
10. hyperbolic cotangent

<H>:

1. \hat{expression}$
2. \hat{A}\ \widehat{A}\ \check{A}\ \tilde{A}\
   \widetilde{A}\ \acute{A}\
   \grave{A}\ \dot{A}$
3. \ddot{A}\ \dddot{A}\ \ddddot{A}\ \breve{A}\ \bar{A}\ \vec{A}\ \overrightarrow{AB}$
4. \hbar\ \hslash$
5. \heartsuit$
6. \hbox{text}$
7. \hom$
8. \hookleftarrow\ \hookrightarrow$
9. \cosh$
10. \coth$

<H>:

1. $\hat{expression}$
2. $\hat{A}\ \widehat{A}\ \check{A}\ \tilde{A}\ \widetilde{A}\ \acute{A}\ \grave{A}\ \dot{A}$
3. $\ddot{A}\ \dddot{A}\ \ddddot{A}\ \breve{A}\ \bar{A}\ \vec{A}\ \overrightarrow{AB}$
4. $\hbar\ \hslash$
5. $\heartsuit$
6. $\hbox{text}$
7. $\hom$
8. $\hookleftarrow\ \hookrightarrow$
9. $\cosh$
10. $\coth$

>Top < I1>:

1. acute
2. aleph
3. amalgamation
4. angle
5. approximately
6. arc cosine
7. asymptotically equal to
8. inj lim
9. いんて
10. integer
11. inter text
12. integer (displaystyle)
13. integer (difinite)
14. mho
15. iota
16. integer sample
17. italic text

< I1 >:

1. \ldotp\ \ldots$
2. \fallingdotseq\ \risingdotseq$
3. \iff$
4. iiiint$
5. \implies\ \impliedby$
6. \in\ \ni\ \notin\ \subset\ \supset\ \subseteq\ \supseteq\ \cap\ \cup$
7. \infty\ \propto\ \varpropto\ \bowtie\ \Join$
8. \injlim$
9. \int_{}^{}\ \displaystyle\int_0^{}
10. \int\ \iint\ \iint_D\ \iiint\ \iiiint\ \idotsint\ \oint\ \oint_L\mathbf{A}\cdot d\mathbf{r}$
11. begin{align}
    s_1&=a_1,\\
    s_2&=a_1+a_2,\\
    \text{generally,} \\
    s_n&=a_1+a_2+\cdots+a_n
    \end{align}$
12. \displaystyle\int_{0}^{n}f(x)dx$
13. \int^2_0 (x+1)dx=\left[\frac{1}{2}x^2+x\right]^2_0
    =\frac{1}{2}x^2+x\bigr|^2_0= 4$
14. \mho\ \forall\ \exists$
15. \iota$
16. \int_{lower}^{upper}expression$
17. \it{text}$

< I1 >:

1. $\ldotp\ \ldots$
2. $\fallingdotseq\ \risingdotseq$
3. $\iff$
4. $iiiint$
5. $\implies\ \impliedby$
6. $\in\ \ni\ \notin\ \subset\ \supset\ \subseteq\ \supseteq\ \cap\ \cup$
7. $\infty\ \propto\ \varpropto\ \bowtie\ \Join$
8. $\injlim$
9. $\int_{*}^{*}\ \displaystyle\int_0^{*}$
10. $\int\ \iint\ \iint_D\ \iiint\ \iiiint\ \idotsint\ \oint\ \oint_L\mathbf{A}\cdot d\mathbf{r}$
11. $\begin{align} s_1&=a_1,\\ s_2&=a_1+a_2,\\ \text{generally,} \\ s_n&=a_1+a_2+\cdots+a_n \end{align}$
12. $\displaystyle\int_{0}^{n}f(x)dx$
13. $\int^2_0 (x+1)dx=\left[\frac{1}{2}x^2+x\right]^2_0 =\frac{1}{2}x^2+x\bigr|^2_0 =4$
14. $\mho\ \forall\ \exists$
15. $\iota$
16. $\int_{lower}^{upper}expression$
17. $\it{text}$

>Top < I2>:

< I2 >:

1. \ begin{eqnarray}
   a_0=\frac{1}{\pi} \left[\int_0^{\pi} a \sin kt \cdot dt + \int_{\pi}^{2\pi} (-a) \sin kt \cdot dt\right]=0
   \ end{eqnarray}$

< I2>:

1. $\begin{eqnarray} a_0=\frac{1}{\pi}\left[\int_0^{\pi} a \sin kt \cdot dt + \int_{\pi}^{2\pi} (-a) \sin kt \cdot dt\right]=0 \end{eqnarray}$

>Top <J>:

1. join

<J>:

1. \Join$

<J>:

1. $\Join$

>Top <K>:

1. kappa
2. kernel

<K>

1. \kappa$
2. \ker$

<K>:

1. $\kappa\ \varkappa$
2. $\ker$

>Top <L1>:

1. lambda/Lambda
2. LaTeX
3. ldotp/ldots
4. leads to
5. left angle/right angle
6. left arrow/right arrow
7. Left arrow (double)/Right
8. left brace/right brace
9. left bracket/right bracket
10. leftarrowtail/ rightarrowtail
11. left ceiling/right ceiling
12. left arrow (under)/ left right arrow (under)
13. right arrow (under)/ underline
14. left harpoon down/right
15. left harpoon up/right
16. leftleftarrows/ rightrightarrows
17. left right arrow/ left right arrow (double)
18. leftrgitrrows/left right
19. leftthreetimes/ rightthreetimes
20. harpoons/ leftrightssquigarrow
21. left tack

<L1>:

1. \lambda\ \Lambda\ \varLamda$
2. \LaTeX$
3. \ldotp\ \ldots$
4. \leadsto$
5. \langle\ \rangle$
6. \leftarrow\ \rightarrow$
7. \Leftarrow\ \Rightarrow$
8. \lbrace\ \rbrace$
9. \lbrack\ \rbrack$
10. \leftarrowtail\ \rightarrowtail$
11. \lceil\ \rceil\ \lfloor\ \rfloor\ \left[\ \right]$
12. \underleftarrow{expression}\ \underleftrightarrow{expression}$
13. \underrightarrow{expression}\ \underline{text}$
14. \leftharpoondown\ \rightharpoondown$
15. \leftharpoonup\ \rightharpoonup$
16. \leftleftarrows\ \rightrightarrows$
17. \leftrightarrow\ \Leftrightarrow$
18. \leftrightarrows\ \ leftrightharpoons\ \leftrightsquigarrow$
19. \leftthreetimes\ \rightthreetimes$
20. \dashv$
21. \le\ \ge$

<L1>:

1. $\lambda\ \Lambda\ \varLambda$
2. $\LaTeX$
3. $\ldotp\ \ldots$
4. $\leadsto$
5. $\langle\ \rangle$
6. $\leftarrow\ \rightarrow$
7. $\Leftarrow\ \Rightarrow$
8. $\lbrace\ \rbrace\ \{ \ \}$
9. $\lbrack\ \rbrack$
10. $\leftarrowtail\ \rightarrowtail$
11. $\lceil\ \rceil\ \lfloor\ \rfloor\ \left[\ \right]$
12. $\underleftarrow{expression}\ \underleftrightarrow{expression}$
13. $\underrightarrow{expression}\ \underline{text}$
14. $\leftharpoondown\ \rightharpoondown$
15. $\leftharpoonup\ \rightharpoonup$
16. $\leftleftarrows\ \rightrightarrows$
17. $\leftrightarrow\ \Leftrightarrow$
18. $\leftrightarrows\ \leftrightharpoons\ \leftrightsquigarrow$
19. $\leftthreetimes\ \rightthreetimes$
20. $\dashv$
21. $\le\ \ge$

>Top <L2>:

1. leqq/geqq
2. lessapprox/ greaterapprox
3. lessdot/greaterdot
4. less than/greater than
5. less than or equal to/ greater than or equal to
6. less than or equal to (0ther)/greater than or equal to (other)/...
7. less than or equal to (slanted)/greater than
8. include
9. limit inferior/ limit superior/ direct limit/ inverse limit
10. include
11. vdash
12. varliminf

<L2>:

1. \le\ \leq\ \ll\ \ge\ \geq\ \gg\ \leqq\ \geqq$
2. \lessapprox\ \gtrapprox$
3. \lessdot\ \gtrdot$
4. \lt\ \gt$
5. \leq\ \geq\ \pm\ \mp\ \times\ \div$
6. \land\ \wedge\ \vee\ \cap\ \cup\ \sqcap\ \sqcup$
7. \leqslant\ \geqslant\ \ll\ \lll\ \gg\ \ggg$
8. \subset\ \subseteq\ \sqsubseteq\ \supset\ \supseteq\ \sqsupseteq$
9. \prec\ \preceq\ \succ\ \succeq$
10. \in\ \ni\ \notin$
11. \vdash\ \dashv$
12. \varliminf\ \varlimsup\ \varinjlim\ \varprojlim$

<L2>:

1. $\le\ \leq\ \ll\ \ge\ \geq\ \gg\ \leqq\ \geqq$
2. $\lessapprox\ \gtrapprox$
3. $\lessdot\ \gtrdot$
4. $\lt\ \gt$
5. $\leq\ \geq\ \pm\ \mp\ \times\ \div$
6. $\land\ \wedge\ \vee\ \cap\ \cup\ \sqcap\ \sqcup$
7. $\leqslant\ \geqslant\ \ll\ \lll\ \gg\ \ggg$
8. $\subset\ \subseteq\ \sqsubseteq\ \supset\ \supseteq\ \sqsupseteq$
9. $\prec\ \preceq\ \succ\ \succeq$
10. $\in\ \ni\ \notin$
11. $\vdash\ \dashv$
12. $\varliminf\ \varlimsup\ \varinjlim\ \varprojlim$

>Top <L3>:

1. log/sine/cosine type-1
2. log type-2
3. log type-3
4. log type-4
5. log type-5
6. log type-6
7. limit-1
8. limit-2
9. limit-3
10. limit-4
11. line break
12. logical conjugation/ disjucation / negation /universal quantifier / existential quantifier
13. lozenge
14. lrcorner
15. lsh/rsh
16. ltimes/rtimes
17. lVert/lvert/rVert/rvert
18. lvertneqq/gvertneqq

<L3>:

1. \arccos\ \arcsin\ \arctan\ \arg\ \cos$
2. \cosh\ \cot\ \coth\ \csc\ \deg\ \det$
3. \dim\ \exp\ \gcd\ \hom\ \inf\ \ker$
4. \lg\ \lim\ \liminf\ \limsup\ \ln$
5. \log\ \log_e\ \max\ \min\ \Pr \ \sec$
6. \sin\ \sinh\ \sup\ \tan\ \tanh$
7. \lim_{x\to \infty}f(x)$
8. \displaystyle\lim_{x\to \infty}f(x)\
   \displaystyle\lim
   _{\substack{p\to 0\\q\to 0}}f(x)$
9. \ begin{eqnarray}
   \ lim_{s \to \infty}f(x)
   \ end{eqnarray}$
10. \lim_{n\to\infty}\ \displaystyle\lim_{n\to\infty}$
11. aaaa\\aaaa$
12. \land\ \lor\ \lnot\ \forall\  \exists$
13. \lozenge$
14. \lrcorner$
15. \Lsh\ \Rsh$
16. \ltimes\ \rtimes$
17. \lVert\ \lvert\ \rVert\ \rvert$
18. \lvertneqq\ \gvertneqq$

<L3>:

1. $\arccos\ \arcsin\ \arctan\ \arg\ \cos$
2. $\cosh\ \cot\ \coth\ \csc\ \deg\ \det$
3. $\dim\ \exp\ \gcd\ \hom\ \inf\ \ker$
4. $\lg\ \lim\ \liminf\ \limsup\ \ln$
5. $\log\ \log_e\ \max\ \min\ \Pr \ \sec$
6. $\sin\ \sinh\ \sup\ \tan\ \tanh$
7. $\lim_{x\to \infty}f(x)$
8. $\displaystyle\lim_{x\to \infty}f(x)\ \displaystyle\lim_{\substack{p\to 0\\q\to 0}}f(x)$
9. $\begin{eqnarray} \lim_{s \to \infty}f(x) \end{eqnarray}$
10. $\lim_{n\to\infty}\ \displaystyle\lim_{n\to\infty}$
11. $aaaa\\aaaa$
12. $\land\ \lor\ \lnot\ \forall\  \exists$
13. $\lozenge$
14. $\lrcorner$
15. $\Lsh\ \Rsh$
16. $\ltimes\ \rtimes$
17. $\lVert\ \lvert\ \rVert\ \rvert$
18. $\lvertneqq\ \gvertneqq$

>Top <L4>:

1. line break
2. half space
3. ASCII+half space
4. Comment line
5. half space
6. spacing
7. special characters

<L4>:

1. Type 'Enter' key twice ␣␣
   
2. ’Empty row␣' means 'paragraph'
3. ASCII+Enter means '␣'
4. Neglect line break: add '%' (used adding comment)
   Supercalifragilistic%コメントです。
5. Fill␣in␣the␣(␣␣␣␣)'s.$Fill in the ( )'s.$
   Fill\ in\ the\ (\ )'s.$
6. Fill~in~the~(~~~~~)'s.$
7. \LaTeX is cool! $\LaTeX\ is\ cool!$ ... ok space
   \LaTeX{} is cool! ${\LaTeX} is cool!$
8. \_\ \{\ \}\ \S\ \backslash\ \bullet\ \cdot
   \ \circ\ \ast\ \star
   \ \diamond \ \dagger$

<L4>:

1. Type 'Enter' key twice ␣␣
2. ’Empty row␣' means 'paragraph'
3. ASCII+Enter means '␣'
4. Neglect line break: add '%' (used adding comment)
   $Supercalifragilistic%コメントです。$
5. $Fill␣in␣the␣(␣␣␣␣)'s.$
   $Fill in the ( )'s.$
   $Fill\ in\ the\ (\ )'s.$
6. $Fill~in~the~(~~~~~)'s.$
7. $\LaTeX is cool!$
   $\LaTeX\ is\ cool!$ ... ok space
   $\LaTeX{} is cool!$
   ${\LaTeX} is cool!$
8. $\_\ \{\ \}\ \S\ \backslash\ \bullet\ \cdot\ \circ\ \ast \ \star\ \diamond \ \dagger$
   

>Top <M>:

1. maltese
2. maps to
3. math font-1
4. math font-2
5. math font-3
6. math font-4
7. math font-5
8. math font-6
9. math structure-1 (mathstrut)
10. math structure-2 (vphantom)
11. math structure-3
    (smash[])

<M>:

1. \maltese$
2. \mapsto$
3. \mathbb{N}\ \mathbb{Z}\ \mathb{Q}\  \mathbb{R}\ \mathbb{C}\ \3\in\mathbb{B}\ \3.14\notin\math{Z}\ \mathbb{O}\subset\mathbb{R}
4. \mathbf{math}\ \mathbb{math}\ \ mathcal{math}\ \mathfrak{math}\ \ mathit{math}\ \mathop{operator}\ \mathsf{math}\ \mathtt{math}$
5. x+\mathrm{const}\ \ x\,\mathrm{cm}^2\ \ x_\mathrm{max}\ \mathit{diff}(x)$
6. \ H(x) \ \mathrm{H}(x)\ \mathcal{H}(x)\ \mathsf{H}(x)\ \mathtt{H}(x)$
7. \mathcal{ABCDEFGHIJKL MNOPQRSTUVWXYZ}$
8. \mathrm{H}(x)\ \mathcal{H}(x)\ \mathsf{H}(x)\ \mathtt{H}(x)$
9. \sqrt{g}+\sqrt{h}\sqrt{\mathstrut g}+\sqrt{\mathstrut h}$
10. \sqrt{\vphantom{gh} g}+\sqrt{\vphantom{gh} h}$
11. \sqrt{x}+\sqrt{\smash[b]{y}}$

<M>:

1. $\maltese$
2. $\mapsto$
3. $\mathbb{N}\ \mathbb{Z}\ \mathbb{Q}\  \mathbb{R}\ \mathbb{C}\ 3\in\mathbb{B}\ 3.14\notin\mathbb{Z}\ \mathbb{O}\subset\mathbb{R}$
4. $\mathbf{math}\ \mathbb{math} \ \mathcal{math}\ \mathfrak{math}$
   $\ \mathit{math}\ \mathop{operator}\ \mathsf{math}\ \mathtt{math}$
5. $x+\mathrm{const}\ \ x\,\mathrm{cm}^2\ \ x_\mathrm{max}\ \mathit{diff}(x)$
6. $\ H(x) \ \mathrm{H}(x)\ \mathcal{H}(x)\ \mathsf{H}(x)\ \mathtt{H}(x)$
7. $\mathcal{ABCDEFGHIJKLMNO\\ PQRSTUVWXYZ}$
8. $\mathrm{H}(x)\ \mathcal{H}(x)\ \mathsf{H}(x)\ \mathtt{H}(x)$
9. $\sqrt{g}+\sqrt{h}$
   $\sqrt{\mathstrut g}+\sqrt{\mathstrut h}$
10. $\sqrt{\vphantom{gh} g}+\sqrt{\vphantom{gh} h}$
11. $\sqrt{x}+\sqrt{\smash[b]{y}}$

>Top <M2>:

1. まとり
2. まとり
3. まとり
4. matrix
5. matrix pmatrix-1
6. matrix vmatrix-2
7. matrix pmatrix-2
8. matrix bmatrix-2
9. matrix vmatrix-3
10. matrix Vmatrix
11. matrix
12. matrix
13. matrix
14. matrix
15. matrix
16. matrix
17. elementary matrix
18. matrix
19. holizontal line
20. matrix
21. matrix
22. measured angle
23. min
24. minus plus/plus minus
25. mod-1
26. mod-2
27. models
28. modulo
29. modulo (parenthesized)
30. mu
31. multimap

<M2>:

1. \pmatrix{a&b\\c&d}
2. \pmatrix{1&0&0\\0&1&0\\0&0&1}
3. \ begin{vmatrix}1&0\\1&-5\end{vmatrix}
4. \matrix{a&b\cr c&d}
5. \pmatrix{a&b\\c&d}
6. $\begin{bmatrix}a&b\\c&d\end{bmatrix}
7. $\begin{pmatrix}a&b\\c&d\end{pmatrix}
8. $\begin{vmatrix}a&b\\c&d\end{vmatrix}
9. \ begin{bmatrix}
   a&b\\
   c&d \\
   end{bmatrix}
10. \ begin{vmatrix}
    a&b\\
    c&d \\
    \end{vmatrix}
11. \ begin{Vmatrix}
    a&b\\
    c&d \\
    \ end{Vmatrix}
12. A=\left[\begin{array}{ccc}
    a&b&c\\
    d&e&f\\
    g&h&i
    \end{array}\right]
13. ^t\A\ A^{\mathrm{T}}
14. A=begin{pmatrix}
    a_{11} &\dots & a_{1n}\\
    &\dots\dots&\\
    a_{m1} &\dots & a_{mn}
    \end{pmatrix}
15. \pmatrix{a_{11}&\cdots&a_{1i}&\cdots&a_{1n}\\
    \vdots&\ddots&&&\vdots\\
    a_{i1}&&a_{ii}&&a_{in}\\
    \vdots&&&\ddots&\vdots\\
    a_{n1}&\cdots&a_{ni}&\cdots&a_{nn}}
16. \left(\ begin{array}{ccc|c}1&0&-1&0
    \\0&1&-1&0\\0&0&0&0\\
    \end{array}\right)
17. $R_{i, j, c}=\pmatrix{1&&&&&&\\&\ddots&&&&&\\
    &&1&&c&&\\&&&\ddots&&&\\&&&&1&&\\
    &&&&&\ddots&\\&&&&&&1}
18. \ begin{array}{|c|c|}
    a&a^2\\
    \hline
    11&121\\
    12&144\\
    \ end{array}
19. A=left(
    begin{array}{@{\,}c|ccc@{\,}}
    a_{11} & 0 & \ldots & 0 \\ \hline
    0 & A_{22} & \ldots & a_{2n}\\
    \vdots & \vdots & \ddots &\vdots\\
    0 & a_{m2} & \ldots & a_{mn}
    \end{array}
    \right)
20. \Lambda=\ begin{bmatrix}\lambda_{1}&&
    \\&\ddots&\\&&\lambda_{k}\end{bmatrix}
21. begin{pmatrix}
    \lambda_1&&&&\\
    &\lambda_2&&\huge{0}&\\
    &&\ddots&&\\
    &\huge{0}&&\lambda_{n-1}&\\
    &&&&\lambda_n
    \end{pmatrix}$
22. \measuredangle$
23. \min$
24. \mp\ \pm$
25. m \bmod n$
26. a \equiv b \pmod{n}$
27. \models$
28. \mod{expression}$
29. \pmod{expression}$
30. \mu$
31. \multimap$

<M2>:

1. $\pmatrix{a&b\\c&d}$
2. $\pmatrix{1&0&0\\0&1&0\\0&0&1}$
3. $\begin{vmatrix}1&0\\0&1\end{vmatrix}$
4. $\matrix{a&b\cr c&d}$
5. $\pmatrix{a&b\\c&d}$
6. $\begin{bmatrix}a&b\\c&d\end{bmatrix}$
7. $\begin{pmatrix}a&b\\c&d\end{pmatrix}$
8. $\begin{vmatrix}a&b\\c&d\end{vmatrix}$
9. $\begin{bmatrix} a&b\\ c&d \\ \end{bmatrix}$
10. $\begin{vmatrix} a&b\\ c&d \\ \end{vmatrix}$
11. $\begin{Vmatrix} a&b\\ c&d \\ \end{Vmatrix}$
12. $A=\left[\begin{array}{ccc} a&b&c\\ d&e&f\\ g&h&i \end{array}\right]$
13. $^tA\ A^{\mathrm{T}}$
14. $A=\begin{pmatrix} a_{11} &\dots & a_{1n}\\ &\ldots\ldots &\\ a_{m1} &\dots & a_{mn} \end{pmatrix}$
15. $\pmatrix{a_{11}&\cdots&a_{1i}&\cdots&a_{1n}\\ \vdots&\ddots&&&\vdots\\ a_{i1}&&a_{ii}&&a_{in}\\ \vdots&&&\ddots&\vdots\\ a_{n1}&\cdots&a_{ni}&\cdots&a_{nn}}$
16. $\left(\begin{array}{ccc|c}1&0&-1&0 \\0&1&-1&0\\0&0&0&0\\\end{array}\right)$
17. $R_{i, j, c}=\pmatrix{1&&&&&&\\&\ddots&&&&&\\ &&1&&c&&\\&&&\ddots&&&\\&&&&1&&\\ &&&&&\ddots&\\&&&&&&1}$
18. $\begin{array}{|c|c|} a&a^2\\ \hline 11&121\\ 12&144\\ \end{array}$
19. $A=\left( \begin{array}{@{\,}c|ccc@{\,}} a_{11} & 0 & \ldots & 0 \\ \hline 0 & a_{22} & \ldots & a_{2n}\\ \vdots & \vdots & \ddots &\vdots\\ 0 & a_{m2} & \ldots & a_{mn} \end{array} \right)$
20. $\Lambda=\begin{bmatrix}\lambda_{1}&& \\&\ddots&\\&&\lambda_{k}\end{bmatrix}$
21. $\begin{pmatrix} \lambda_1&&&&\\ &\lambda_2&&\huge{0}&\\ &&\ddots&&\\ &\huge{0}&&\lambda_{n-1}&\\ &&&&\lambda_n \end{pmatrix}$
22. $\measuredangle$
23. $\min$
24. $\mp\ \pm$
25. $m \bmod n$
26. $a \equiv b \pmod{n}$
27. $\models$
28. $\mod{expression}$
29. $\pmod{expression}$
30. $\mu$
31. $\multimap$

1. matrix1
2. matrix2

1. $R_\theta = \begin{bmatrix} \cos \theta & -\sin
   \theta \\ \sin \theta & \phantom{-} \cos \theta
   \end{bmatrix}
2. $\begin{matrix}
   c(1)^{n-1} & \dots & c(1)^2 & c(1) & 1 \\
   c(2)^{n-1} & \dots & c(2)^2 & c(2) & 1 \\
   \vdots & \ddots & \vdots & \vdots & \vdots \\
   c(n)^{n-1} & \dots & 1 & 0 & 0
   \end{matrix}

1. $R_\theta = \begin{bmatrix} \cos \theta & -\sin \theta \\ \sin \theta & \phantom{-} \cos \theta \end{bmatrix}$
2. $\begin{matrix} c(1)^{n-1} & \dots & c(1)^2 & c(1) & 1 \\ c(2)^{n-1} & \dots & c(2)^2 & c(2) & 1 \\ \vdots & \ddots & \vdots & \vdots & \vdots \\ c(n)^{n-1} & \dots & 1 & 0 & 0 \end{matrix}$

>Top <N1>:

1. nabla
2. natural
3. natural logarithm
4. negation
5. ncong
6. ngeq/ngeqq/nleq/nleqq
7. ngtr/ngeqslant/ nletr/nleqslant
8. nleftrightarrow/ nLeftrightarrow
9. nless/nleqslant/ ngrt/ngeqslant

<N1>:

1. \nabla$
2. \natural$
3. \ln$
4. \neg\ \lfloor\ \llcorner$
5. \ncong$
6. \ngeq\ \ngeqq\ \nleq\ \nleqq$
7. \ngtr\ \ngeqslant\ \nless\ \nleqslant$
8. \nleftrightarrow\ \nLeftrightarrow$
9. \nless\ \nleqslant\ \ngtr\ \ngeqslant$

<N1>:

1. $\nabla$
2. $\natural$
3. $\ln$
4. $\neg\ \lfloor\ \llcorner$
5. $\ncong$
6. $\ngeq\ \ngeqq\ \nleq\ \nleqq$
7. $\ngtr\ \ngeqslant\ \nless\ \nleqslant$
8. $\nleftrightarrow\ \nLeftrightarrow$
9. $\nless\ \nleqslant\ \ngtr\ \ngeqslant$

>Top <N2>:

1. not
2. not (sample)
3. not equal to/not equal to
4. not in
5. not parallel
6. nothing (var)
7. NE arrow/NW arrow/ SE arrow/ SW arrow
8. nprec/npreceq/ nsucc/ nsucceq
9. prec/preceq/ succ/ succeq
10. nrightarrow/nRightarrow/ nleftarrow/nLeftarrow
11. rightarrow/Rightarrow/ leftarrow/Leftarrow
12. nshortmid/nshortparallel
13. shortmid/shortparallel

<N2>:

1. \not\ \neg$
2. \ begin{eqnarray}
   x \not=y
   \end{eqnarray}
   \begin{eqnarray}
   x \not \equiv y
   \ end{eqnarray}
3. \ne\ \neq$
4. \notin\ \in$
5. \nparallel\ \parallel$
6. \varnothing\ \emptyset$
7. \nearrow\ \nwarrow\ \searrow\ \swarrow$
8. \nprec\ \npreceq\ \nsucc\ \nsucceq$
9. \prec\ \preceq\ \succ\ \succeq$
10. \nrightarrow\ \nRightarrow\ \nleftarrow\ \nLeftarrow$
11. \rightarrow\ \Rightarrow\ \leftarrow\ \Leftarrow$
12. \nshortmid\ \nshortparallel$
13. \shortmid\ \shortparallel$

<N2>:

1. $\not\ \neg$
2. $\begin{eqnarray} x \not=y \end{eqnarray}$
   $\begin{eqnarray} x \not \equiv y \end{eqnarray}$
3. $\ne\ \neq$
4. $\notin\ \in$
5. $\nparallel\ \parallel$
6. $\varnothing\ \emptyset$
7. $\nearrow\ \nwarrow\ \searrow\ \swarrow$
8. $\nprec\ \npreceq\ \nsucc\ \nsucceq$
9. $\prec\ \preceq\ \succ\ \succeq$
10. $\nrightarrow\ \nRightarrow\ \nleftarrow\ \nLeftarrow$
11. $\rightarrow\ \Rightarrow\ \leftarrow\ \Leftarrow$
12. $\nshortmid\ \nshortparallel$
13. $\shortmid\ \shortparallel$

>Top <N3>:

1. nsim/sim
2. not a subset of or equal to/ nsuseteqq/ nsupseteq/ nsupseteqq
3. a subset of or equal to/ suseteqq/supseteq/ supseteqq
4. ntriangleleft/ ntrianglelefteq/ ntriangleright/ ntrianglerighteq
5. triangleleft/
   trianglelefteq/ triangleright/ trianglerighteq
6. nu
7. nvdash/ nvDash/ nVdash/ nVDash
8. vdash/ vDash/ Vdash

<N3>:

1. \nsim\ \sim$
2. \nsubseteq\ \nsubseteqq\ \nsupseteq\ \nsupseteqq$
3. \subseteq\ \subseteqq\ \supseteq\ \supseteqq$
4. \ntriangleleft\ \ntrianglelefteq\ \ntriangleright\ \ntrianglerighteq$
5. \triangleleft\ \trianglelefteq\ \triangleright\ \trianglerighteq$
6. \nu$
7. \nvdash\ \nvDash\ \nVdash\ \nVDash$
8. \vdash\ \vDash\ \Vdash$

<N3>:

1. $\nsim\ \sim$
2. $\nsubseteq\ \nsubseteqq\ \nsupseteq\ \nsupseteqq$
3. $\subseteq\ \subseteqq\ \supseteq\ \supseteqq$
4. $\ntriangleleft\ \ntrianglelefteq\ \ntriangleright\ \ntrianglerighteq$
5. $\triangleleft\ \trianglelefteq\ \triangleright\ \trianglerighteq$
6. $\nu$
7. $\nvdash\ \nvDash\ \nVdash\ \nVDash$
8. $\vdash\ \vDash\ \Vdash$

>Top <O>:

1. omega/Omega
2. omicron
3. overbar
4. over denominator
5. overbrace
6. overleftarrow/ overrightarrow/ overleftrightarrow
7. overrightarrow (sample)
8. overrightarrow-1
9. overline
10. overline-2
11. overline-3
12. overline-4
13. overbrace
14. overset
15. owns

<O>:

1. \omega\ \Omega\ \varOmega$
2. \omicron$
3. \bar{expression}$
4. \over denominator$
5. \overbrace{expression}^{over}\ \ \underbrace{expression}_{under}$
6. \overleftarrow{expression}\ \overrightarrow{expression}\ \overleftrightarrow{expession}$
7. \begin{eqnarray}
   \overrightarrow{\rm OA}
   \end{eqnarray$
   
8. \overrightarrow{A}\ \overleftarrow{A}\ \overleftrightarrow{A}\ \underrightarrow{A}\ \underleftarrow{A}\ \underleftrightarrow{A}$
9. \overline{P\cap Q}=\overline{P} \cup \overline{Q}
10. \overline{x+y}\ \underline{x+y}\ \widehat{xyz}\ \widetilde{xy}$
11. \overbrace{x+y}\ \underbrace{x+y}$
12. \overrightarrow{\mathrm{OA}}\ \overleftarrow{\mathrm{OA}}$
13. \overbrace{a+\cdots+z}^{26} \; \underbrace{a+\cdots+z}_{26}$
14. \overset{upper}{lower}$
15. \owns$

<O>:

1. $\omega\ \Omega\ \varOmega$
2. $\omicron$
3. $\bar{expression}$
4. $\over denominator$
5. $\overbrace{expression}^{over}\ \ \underbrace{expression}_{under}$
6. $\overleftarrow{expression}\ \overrightarrow{expression}\ \overleftrightarrow{expession}$
7. $\begin{eqnarray} \overrightarrow{\rm OA} \end{eqnarray}$
8. $\overrightarrow{A}\ \overleftarrow{A}\ \overleftrightarrow{A}\ \underrightarrow{A}\ \underleftarrow{A}\ \underleftrightarrow{A}$
9. $\overline{P\cap Q}=\overline{P} \cup \overline{Q}$
10. $\overline{x+y}\ \underline{x+y}\ \widehat{xyz}\ \widetilde{xy}$
11. $\overbrace{x+y}\ \underbrace{x+y}$
12. $\overrightarrow{\mathrm{OA}}\ \overleftarrow{\mathrm{OA}}$
13. $\overbrace{a+\cdots+z}^{26} \; \underbrace{a+\cdots+z}_{26}$
14. $\overset{upper}{lower}$
15. $\owns$

>Top <P1>:

1. partial
2. nabla
3. parallel
4. ちゅう
5. 自動parenthesis
6. parenthesis-1
7. parenthesis-2
8. various parenthesis
9. bracket
10. parenthesis (sample)
11. parenthesis (extendable)
12. parenthesis (extendable)
13. absolute sign (sample)
14. へんび
15. partial
16. perpendicular
17. phi/Phi/varphi
18. pi/Pi/varpi
19. pitchfork
20. Planck constant

<P1>:

1. \frac{\partial f}{\partial y},
   \frac{\partial^2 f}{\partial^2 y} $
2. \Delta=\nabla^2=
   \frac{\partial^2 f}{\partial x^2}+
   \frac{\partial^2 f}{\partial y^2}$
3. \parallel\ \nparallel\ \shortparallel\ \nshortparallel\ \nmid\ \nshortmid
4. \left.\right)\ \left(\right)\ \bigl(\bigr)\ \{\}\ \left[\right]\ \bigl[\bigr]\ \langle\ \rangle
5. a\left(\left[b\left\{c\left(d+e)^x\right)\right\}
   ^{\frac{y}{z}}\right]\right)$
6. a\Biggl( b\biggl( c\Bigl( d\bigl( d(f+g) \bigr) \Bigr) \biggr) \Biggr)
7. a\Biggl\{ b\biggl\{ c\Bigl
   \{ d\bigl\{ d\{f+g\}
   \bigr\} \Bigr\}\biggr\} \Biggr\}
8. a\left[ b\left\{
   \frac{1}{2}\left(
   c(d+e)^x
   \right)
   \right\}^{\frac{x}{z}}
   \right]
9. \{\ \}\ \lfloor\ \rfloor\ \lceil\ \rceil\ \langle\ \rangle$
10. a\Biggl[ b\biggl[ c\Bigl[ d\bigl[ d[f+g] \big] \Bigr] \biggr] \Biggr]$
11. a\left[b\left\{\frac{1}{2}\left(c(d+e)^x
    \right)\right\}^{\frac{y}{z}}\right]$
12. \ begin{eqnarray}
    \left(\left(a+b\right)^2-\left(c+d\right)^2\right)
    \ end{eqnarray}$
13. \ begin{eqnarray}
    \Bigl|\left|x+y\right|-\left|z+w\right|\Bigl|
    \ end{eqnarray}$
14. \frac{\partial }{\partial }
15. \partial$
16. \perp\ \bot\ \top$
17. \phi\ \Phi\ \varphi\ \varPhi$
18. \pi\ \Pi\ \varpi$
19. \pitchfork$
20. \hbar$

<P1>:

1. $\frac{\partial f}{\partial y}, \frac{\partial^2 f}{\partial^2 y}$
2. $\Delta=\nabla^2= \frac{\partial^2 f}{\partial x^2}+ \frac{\partial^2 f}{\partial y^2}$
3. $\parallel\ \nparallel\ \shortparallel\ \nshortparallel\ \nmid\ \nshortmid$
4. $\left.\right)\ \left(\right)\ \bigl(\bigr)\ \{\}\ \left[\right]\ \bigl[\bigr]\ \langle\ \rangle$
5. $a\left(\left[b\left\{c\left(d+e)^x\right)\right\} ^{\frac{y}{z}}\right]\right)$
6. $a\Biggl( b\biggl( c\Bigl( d\bigl( d(f+g) \bigr) \Bigr) \biggr) \Biggr)$
7. $a\Biggl\{ b\biggl\{ c\Bigl\{ d\bigl \{ d\{f+g\} \bigr\} \Bigr\} \biggr\} \Biggr\}$
8. $a\left[ b\left\{ \frac{1}{2}\left( c(d+e)^x \right) \right\}^{\frac{x}{z}} \right]$
9. $\{\ \}\ \lfloor\ \rfloor\ \lceil\ \rceil\ \langle\ \rangle$
10. $a\Biggl[ b\biggl[ c\Bigl[ d\bigl[ d[f+g] \big] \Bigr] \biggr] \Biggr]$
11. $a\left[b\left\{\frac{1}{2}\left(c(d+e)^x \right)\right\}^{\frac{y}{z}}\right]$
12. $\begin{eqnarray} \left(\left(a+b\right)^2-\left(c+d\right)^2\right) \end{eqnarray}$
13. $\begin{eqnarray} \Bigl|\left|x+y\right|-\left|z+w\right|\Bigl| \end{eqnarray}$
14. $\frac{\partial }{\partial }$
15. $\partial$
16. $\perp\ \bot\ \top$
17. $\phi\ \Phi\ \varphi\ \varPhi$
18. $\pi\ \Pi\ \varpi\ \varPi$
19. $\pitchfork$
20. $\hbar$

>Top <P2>:

1. plus or minus/ minus or plus
2. poor man's bold
3. precedes/ precapprox/ precneqq/ precnsim/ precsim
4. succedes/ succapprox/ succneqq/ succnsim/ succsim/
5. prime
6. product
7. product (snippet)
8. project limit
9. proportional to/varpropto
10. psi

<P2>:

1. \pm\ \mp$
2. \pmb{math}$
3. \prec\ \precapprox\ \precneqq\ \precnsim\ \precsim
4. \succ\ \succapprox\ \succneqq\ \succnsim\ \succsim$
5. \prime$
6. \prod\ \coprod\ \bigcup\ \bigsqcup$
7. \prod_{lower}^{upper}expression$
8. \projlim$
9. \propto\ \varpropto$
10. \varPsi$

<P2>:

1. $\pm\ \mp$
2. $\pmb{math}$
3. $\prec\ \precapprox\ \precneqq\ \precnsim\ \precsim$
4. $\succ\ \succapprox\ \succneqq\ \succnsim\ \succsim$
5. $\prime\ \backprime$
6. $\prod\ \coprod\ \bigcup\ \bigsqcup$
7. $\prod_{lower}^{upper}expression$
8. $\projlim$
9. $\propto\ \varpropto$
10. $\varPsi$

1. phantom1
2. phantom2

1. $|x| = \begin{cases} \phantom{-} x& \text{if } x \geq 0 \\ -x & \text{if } x<0 \end{cases)
2. $\begin{aligned}
   \text{first number} && \text{second number} \\
   10 \mbox{\phantom{=digit}} &&
   9 \mbox{\phantom{=digit}}
   \end{aligned}

1. $|x| = \begin{cases} \phantom{-} x& \text{if } x \geq 0 \\ -x & \text{if } x<0 \end{cases}$
2. $\begin{aligned} \text{first number} && \text{second number} \\ 10 \mbox{\phantom{=digit}} && 9 \mbox{\phantom{=digit}} \end{aligned}$

>Top <Q>:

<Q>:

<Q>:

>Top <R1>:

1. reference
2. restriction
3. rhd
4. rho/varrho
5. right angle/left angle
6. right arrow/ right arrow (double)/ rightarrowtail/ right harpoon down/ right harpoon up
7. left arrow/ left arrow (double)/ leftarrowtail/ left harpoon down/ left harpoon up/

<R1>:

1. \Re\ \wp\ \ell\ \imath\ \jmath\ \aleph\ \hbar\ \Im\ \mho$
2. \restriction$
3. \rhd$
4. \rho\ \varrho$
5. \rangle\ \langle$
6. \rightarrow\ \Rightarrow\ \rightarrowtail\ \rightharpoondown\ \rightharpoonup
7. \leftarrow\ \Leftarrow\ \leftarrowtail\ \leftharpoondown\ \leftharpoonup$

<R1>:

1. $\Re\ \wp\ \ell\ \imath\ \jmath\ \aleph\ \hbar\ \Im\ \mho$
2. $\restriction$
3. $\rhd\ \lhd\ \unrhd\ \unlhd$
4. $\rho\ \varrho$
5. $\rangle\ \langle$
6. $\rightarrow\ \Rightarrow\ \rightarrowtail\ \rightharpoondown\ \rightharpoonup$
7. $\leftarrow\ \Leftarrow\ \leftarrowtail\ \leftharpoondown\ \leftharpoonup$

>Top <R2>:

1. right brace/left brace
2. right bracket/left bracket
3. right ceiling/left ceiling
4. right floor/left floor
5. right group/left group
6. right left arrows/ left right arrows/ right left harpoons/ left right harpoons
7. right moustache/ left moustache
8. rightrightarrows/ leftleftarrows
9. rightsquigarrow
10. right tack/ Vdash/ vDash

<R2>:

1. \rbrace\ \lbrace$
2. \rbrack\ \lbrack$
3. \rceil\ \lceil$
4. \rfloor\ \lfloor$
5. \rgroup\ \lgroup$
6. \rightleftarrows\ \leftrightarrows\ \rightleftharpoons\ \leftrightharpoons$
7. \rmoustache\ \lmoustache$
8. \rightrightarrows\ \leftleftarrows$
9. \rightsquigarrow$
10. \vdash\ \Vdash\ \vDash$

<R2>:

1. $\rbrace\ \lbrace$
2. $\rbrack\ \lbrack$
3. $\rceil\ \lceil$
4. $\rfloor\ \lfloor$
5. $\rgroup\ \lgroup$
6. $\rightleftarrows\ \leftrightarrows\ \rightleftharpoons\ \leftrightharpoons$
7. $\rmoustache\ \lmoustache$
8. $\rightrightarrows\ \leftleftarrows$
9. $\rightsquigarrow$
10. $\vdash\ \Vdash\ \vDash$

>Top <R3>:

1. rightthreetimes/ leftthreetimes
2. risingdotseq
3. rtimes/ltimes
4. Roman math font
5. Roman number (Ⅰ-Ⅴ)
6. Roman number (Ⅵ-Ⅹ)
7. rvert/rVert

<R3>:

1. \rightthreetimes\ \leftthreetimes$
2. \risingdotseq\ \fallingdotseq\ \approx\ \cong$
3. \rtimes\ \ltimes$
4. \mathrm{math}$
5. I\ \
   I\hspace{-.1em}I\ \
   I\hspace{-.1em}I\hspace{-.1em}I\ \
   I\hspace{-.1em}V\ \
   V$
6. V\hspace{-.1em}I\ \
   V\hspace{-.1em}I\hspace{-.1em}I\ \ V\hspace{-.1em}I\hspace{-.1em}I\hspace{-.1em}I\ \
   I\hspace{-.1em}X\ \
   X$
7. \rvert\ \rVert$

<R3>:

1. $\rightthreetimes\ \leftthreetimes$
2. $\risingdotseq\ \fallingdotseq\ \approx\ \cong$
3. $\rtimes\ \ltimes$
4. $\mathrm{math}$
5. $I\ \ I\hspace{-.1em}I\ \ I\hspace{-.1em}I\hspace{-.1em}I\ \ I\hspace{-.1em}V\ \ V$
6. $V\hspace{-.1em}I\ \ V\hspace{-.1em}I\hspace{-.1em}I\ \ V\hspace{-.1em}I\hspace{-.1em}I\hspace{-.1em}I\ \ I\hspace{-.1em}X\ \ X$
7. $\rvert\ \rVert$

>Top <S1>:

1. Sans serif math font
2. Script math font
3. Script size
4. Script small l
5. secant
6. section
7. set-1
8. set-2
9. set-3
10. set-4
11. set minus
12. sharp/flat
13. shortmid
14. shortparallel
15. sigma/Sigma/varsigma
16. similar to
17. sine/cosine
18. hyperbolic sine

<S1>:

1. \mathsf{math}$
2. \mathscr{math}$
3. \scriptsize{text}$
4. \ell$
5. \sec$
6. \S\ \cdot\ \bullet\ \circ\ \diamond\ \ast\ \star\ \wr\ \prime$
7. a\in A\ A\ni a\ \notin\
8. \subset\ \supset\ \subseteq\
   \supseteq
9. \nsubseteq\ \nsupseteq\ \subsetneq\ \supsetneq\
10. \cap\ \cup\ \emptyset\ \backslash\ \A^c\ \overline{A}$
11. \setminus\ \# \ \$\ \% \ \& \ \_ \verb|\| \ \verb|^|\ \verb|~| \ \verb+|+ \ \S$
12. \sharp\ \flat$
13. \shortmid$
14. \shortparallel$
15. \sigma\ \Sigma\ \varsigma\ \varSigma$
16. \sim$
17. \sin{\alpha}\ \sin^2{\alpha}\ \cos{\beta}\ \cos^3{\beta}$
18. \sinh\ \sinh^2{\alpha}$

<S1>:

1. $\mathsf{math}$
2. $\mathscr{math}$
3. $\scriptsize{text}$
4. $\ell$
5. $\sec$
6. $\S\ \cdot\ \bullet\ \circ\ \diamond\ \ast\ \star\ \wr\ \prime$
7. $a\in A\ A\ni a\ \notin$
8. $\subset\ \supset\ \subseteq\ \supseteq$
9. $\nsubseteq\ \nsupseteq\ \subsetneq\ \supsetneq$
10. $\cap\ \cup\ \emptyset\ \backslash\ A^c\ \overline{A}$
11. $\setminus\ \# \ \$ \ \% \ \& \ \_ \verb|\| \ \verb|^|\ \verb|~| \ \verb+|+ \ \S$
12. $\sharp\ \flat$
13. $\shortmid$
14. $\shortparallel$
15. $\sigma\ \Sigma\ \varsigma\ \varSigma$
16. $\sim$
17. $\sin{\alpha}\ \sin^2{\alpha}\ \cos{\beta}\ \cos^3{\beta}$
18. $\sinh\ \sinh^2{\alpha}$

>Top <S2>:

1. Slanted font
2. small frown
3. small integral
4. small size
5. small smile
6. smash
7. smile
8. space
9. hspace
10. spade suit/club/heart/diamond

<S2>:

1. \sf{text}$
2. \smallfrown$
3. \smallint$
4. \small{text}$
5. \smallsmile$
6. \smash{text}$
7. \smile\ \frown\ \asymp\ \sim\ \simeq\ \nsim$
8. a\!b\ \ a\,b\ \ a\>b
   a\:b\ \ a\;b\ \ a{}b
   a\!\!b\ \ a\:\:b\ \ a\;\;b
   A\quad B\ \ A\qquad B\\
   y\quad=ax\qquad+b$
9. a \hspace{50pt}b \hspace{1cm}c$
10. \spadesuit\ \clubsuit\ \heartsuit\ \diamondsuit\ \diamond$

<S2>:

1. $\sf{text}$
2. $\smallfrown$
3. $\smallint$
4. $\small{text}$
5. $\smallsmile$
6. $\smash{text}$
7. $\smile\ \frown\ \asymp\ \sim\ \simeq\ \nsim$
8. $a\!b\ \ a\,b\ \ a\>b$
   $a\:b\ \ a\;b\ \ a{}b$
   $a\!\!b\ \ a\:\:b\ \ a\;\;b$
   $A\quad B\ \ A\qquad B$
9. $y\quad=ax\qquad+b$
10. $a \hspace{50pt}b \hspace{1cm}c$
11. $\spadesuit\ \clubsuit\ \heartsuit\ \diamondsuit\ \diamond$

>Top <S3>:

1. square
2. square
3. るーと
4. square root (sample1)
5. square root (sample2)
6. stacked relation
7. square root - smash
8. stackrel{upper}{lower}
9. star/bigstar
10. subsetset/superset-1
11. subsetset/superset-2
12. sqsubset/sqsupset
13. sub_text

<S3>:

1. \sphericalangle$
2. \square$
3. \sqrt{}
4. \sqrt{expression}\ \sqrt[n]{expression}$
5. x^{\frac{a}{b}}=\sqrt[b]{x^a}$
6. \stackrel{upper}{lower}$
7. \sqrt{x}+\sqrt{y}\\ \sqrt{x}+\sqrt{\smash[b]{y}}$
8. \stackrel{upper}{lower}$
9. \star\ \bigstar$
10. \subset\ \Subset\ \subseteq\ \subseteqq\ \subsetneq\ \subsetneqq$
11. \supset\ \Supset\ \supseteq\ \supseteqq\ \supsetneq\ \supsetneqq$
    
12. \sqsubset\ \sqsupset\ \sqsubseteq\ \sqsupseteq$
13. A_{\text{max}}=\text{some constant}$

<S3>

1. $\sphericalangle$
2. $\square$
3. $\sqrt{*}$
4. $\sqrt{expression}\ \sqrt[n]{expression}$
5. $x^{\frac{a}{b}}=\sqrt[b]{x^a}$
6. $\sqrt{a+b+2\sqrt{ab}}=\sqrt{a+b}$
7. $\sqrt{x}+\sqrt{y}\\ \sqrt{x}+\sqrt{\smash[b]{y}}$
8. $\stackrel{upper}{lower}$
9. $\star\ \bigstar$
10. $\subset\ \Subset\ \subseteq\ \subseteqq\ \subsetneq\ \subsetneqq$
11. $\supset\ \Supset\ \supseteq\ \supseteqq\ \supsetneq\ \supsetneqq$
12. $\sqsubset\ \sqsupset\ \sqsubseteq\ \sqsupseteq$
13. $A_{\text{max}}=\text{some constant}$

>Top <S4>:

1. varsubsetneq\ \varsubsetneqq\ \varsupsetneq\ \varsupsetneqq/
2. succapprox/ succurlyeq/ succeq/ succnapprox/ succneqq/ succnsim/ succsim
3. prec/preceq
4. さむ
5. sum/ sum (snippet)
6. sum-1
7. sum-2
8. sum-2
9. sum-3
10. supremum
11. surd

<S4>:

1. \varsubsetneq\ \varsubsetneqq\ \varsupsetneq\ \varsupsetneqq$
2. \succ\ \succapprox\ \succcurlyeq\ \succeq\ \succnapprox\ \succneqq\ \succnsim\ \succsim$
3. \prec\ \precapprox\ \preccurlyeq\ \preceq\ \precnapprox\ \precneqq\ \precnsim\ \precsim$
4. \displaystyle\sum_{n=1}^{\infty}
   \ \\displaystyle\prod_{n=1}^n
5. \sum\ \sum_{lower}^{upper}expression$
6. \lim_{x \to \infty}f(x)$
7. \displaystyle\lim_{x \to \infty}f(x)$
8. \displaystyle \sum_{k=1}^5 a_k=a_1+a_2+a_3+a_4+a_5 $
9. \ begin{eqnarray}
   F(x,y)=\sum_{i=-1}^hA_i(x,y)G_i(x,y)
   \ end{eqnarray}$
10. \sup$
11. \surd$

<S4>:

1. $\varsubsetneq\ \varsubsetneqq\ \varsupsetneq\ \varsupsetneqq$
2. $\succ\ \succapprox\ \succcurlyeq\ \succeq\ \succnapprox\ \succneqq\ \succnsim\ \succsim$
3. $\prec\ \precapprox\ \preccurlyeq\ \preceq\ \precnapprox\ \precneqq\ \precnsim\ \precsim$
4. $\displaystyle\sum_{n=1}^{\infty}\ \ \displaystyle\prod_{n=1}^n$
5. $\sum\ \sum_{lower}^{upper}expression$
6. $\lim_{x \to \infty}f(x)$
7. $\displaystyle\lim_{x \to \infty}f(x)$
8. $\displaystyle \sum_{k=1}^5 a_k=a_1+a_2+a_3+a_4+a_5$
9. $\begin{eqnarray} F(x,y)=\sum_{i=-1}^hA_i(x,y)G_i(x,y) \end{eqnarray}$
10. $\sup$
11. $\surd$

>Top <T1>:

1. tanent/hyperbolic tangent
2. tau
3. binominal coeeficient (text syle)
4. TeX/LaTeX
5. Text/ Bold text font/ Italic text font/ Roman text font
6. therefore ゆえに
7. text font
8. text size
9. theta/Theta/vartheta
10. thickapprox/thicksim
11. tilde
12. かけ
13. times/div/equiv/neq
14. tiny size

<T1>:

1. \tan\ \tanh$
2. \tau$
3. \binom{m}{n}\ \tbinom{upper}{lower}\ \dbinom{m}{n}$
4. \TeX\ \LaTeX$
5. \text{text}\ \textbf{text}\ \textit{text}\ \textrm{text}$
6. \therefore\ \because$
7. $\rm{roman}\ \bf{bt}\ \it{italc}\\
   \sf{sans serif}\ \tt{typewriter}\\
   \textbf{textbf}\\
   \mathsf{MATHsf}\\
   \mathit{MATHitalic}\\
   \mathbb{MATHblackboard}\\
   \mathcal{MATHcalligraphy}\\
   \mathscr{MATHscript}\\
   \mathfrak{MATHfraktur 0123}\\
   \underline{science}\\
   \textit{aha!}
8. \tiny{A}\ \scriptsize{A}\ \large{A}\ \Large{A}\ \LARGE{A}\ \huge{A}\ \Huge{A}
9. \theta\ \Theta\ \vartheta\ \varTheta$
10. \thickapprox\ \thicksim$
11. \tilde{expression}$
12. \times
13. \times\ \div\ \equiv\ \neq
14. \tiny{text}$

<T1>:

1. $\tan\ \tanh$
2. $\tau$
3. $\binom{m}{n}\ \tbinom{upper}{lower}\ \dbinom{m}{n}$
4. $\TeX\ \LaTeX$
5. $\text{text}\ \textbf{text}\ \textit{text}\ \textrm{text}$
6. $\therefore\ \because$
7. $\rm{roman}\ \bf{bt}\ \it{it}\\ \sf{sans serif}\ \tt{typewriter}\\ \textbf{textbf}\\ \mathsf{MATHsf}\\ \mathit{MATHitalic}\\ \mathbb{MATHblackboard}\\ \mathcal{MATHcalligraphy}\\ \mathscr{MATHscript}\\ \mathfrak{MATHfraktur 0123}\\ \underline{science}\\ \textit{aha!}$
8. $\tiny{A}\ \scriptsize{A}\ \large{A}\ \Large{A}\ \LARGE{A}\ \huge{A}\ \Huge{A}$
9. $\theta\ \Theta\ \vartheta\ \varTheta$
10. $\thickapprox\ \thicksim$
11. $\tilde{expression}$
12. $\times$
13. $\times\ \div\ \equiv\ \neq$
14. $\tiny{Remark:}$

>Top <T2>:

1. to
2. top
3. triangle (white)
4. triangle (equal)
5. triangle (black)
6. triangle (var)
7. triangle (big)
8. trigonometric function
9. trigonometric/hypebolic
10. lhd/rhd/unlhd/unrhd
11. triple dot
12. triple integral
13. twoheadleftarrow/ twoheadrightarrow
14. typewriter font
15. Typewriter math font

<T2>:

1. \to$
2. \top\ \bot\ \perp$
3. \triangle\ \triangledown\ \triangleright\ \triangleleft\ \bowtie$
4. \triangleq\ \trianglerighteq\ \trianglelefteq$
5. \blacktriangle\ \blacktriangledown\ \blacktriangleright\ \blacktriangleleft$
6. \vartriangle\ \vartriangleright\ \vartriangleleft$
7. \bigtriangleup\ \bigtriangledown\ \triangleright\ \triangleleft$
8. \ begin{eqnarray}
   \sin x\\
   \cos x\\
   \tan x
   \ end{eqnarray}$
9. \sin x \ \cos x\ \tan x\
   \csc x\ \sec x\ \cot x\ 
   \sinh x\ \cosh x\ \tanh x\
   \csch x\ \sech x\ \coth x\ 
   \arcsin x\ \arccos x\ \arctan x\ \arccot x
10. \lhd\ \rhd\ \unlhd\ \unrhd$
11. \dddot{expression}$
12. \iiint$
13. \twoheadleftarrow\ \twoheadrightarrow$
14. \tt{text}$
15. \mathtt{math}$

<T2>:

1. $\to$
2. $\top\ \bot\ \perp$
3. $\triangle\ \triangledown\ \triangleright\ \triangleleft\ \bowtie\ \ltimes$
4. $\triangleq\ \trianglerighteq\ \trianglelefteq$
5. $\blacktriangle\ \blacktriangledown\ \blacktriangleright\ \blacktriangleleft$
6. $\vartriangle\ \vartriangleright\ \vartriangleleft$
7. $\bigtriangleup\ \bigtriangledown\ \triangleright\ \triangleleft$
8. $\begin{eqnarray} \sin x\\ \cos x\\ \tan x \end{eqnarray}$
9. $\sin x \ \cos x\ \tan x$
   $\csc x\ \sec x\ \cot x$
   $\sinh x\ \cosh x\ \tanh x$
   $\csch x\ \sech x\ \coth x$ 
   $\arcsin x\ \arccos x\ \arctan x\ \arccot x$
10. $\lhd\ \rhd\ \unlhd\ \unrhd$
11. $\dddot{expression}$
12. $\iiint$
13. $\twoheadleftarrow\ \twoheadrightarrow$
14. $\tt{text}$
15. $\mathtt{math}$

>Top <U1>:

1. underbrace
2. underline
3. union plus
4. unlhd/unrhd
5. up arrow/down arrow
6. up down arrow/ up down arrow (double)
7. upharpoonleft/ upharpoonright
8. uplus/oplus/
   ominus/otimes
9. upper left corner/ upper right corner
10. upsilon/Upsilon
11. upuparrows/ downdownarrows

<U>:

1. \underbrace{expression}_{under}$
2. \underline{x+y}\\ \underline{x}+\underline{y}$
3. \uplus\ \biguplus$
4. \unlhd\ \unrhd$
5. \uparrow\ \Uparrow$
6. \updownarrow\ \Updownarrow$
7. \upharpoonleft\ \upharpoonright$
8. \uplus\ \oplus\ \ominus\otimes$
9. \ulcorner\ \urcorner$
10. \upsilon\ \Upsilon\ \varUpsilon$
11. \upuparrows\ \downdownarrows$

<U1>:

1. $\underbrace{expression}_{under}$
2. $\underline{x+y}\\ \underline{x}+\underline{y}$
3. $\uplus\ \biguplus$
4. $\unlhd\ \unrhd$
5. $\uparrow\ \Uparrow$
6. $\updownarrow\ \Updownarrow$
7. $\upharpoonleft\ \upharpoonright$
8. $\uplus\ \oplus\ \ominus\otimes$
9. $\ulcorner\ \urcorner$
10. $\upsilon\ \Upsilon\ \varUpsilon$
11. $\upuparrows\ \downdownarrows$

>Top <U2>:

1. unit-1
2. unit-2
3. unit-3

<U2>:

1. \mathrm{(m/s)}
2. 0^\circ\rm{C}\ \mathrm{\mathring{A}}
3. G_\mathrm{N}=6.67\times 10^{-11}\, [\text{N$\cdot$m$^2\cdot$kg$^{-2}$}]

<U2>:

1. $\mathrm{(m/s)}$
2. $0^\circ\rm{C}\ \mathrm{\mathring{A}}$
3. $G_\mathrm{N}=6.67\times 10^{-11}\, [\text{N$\cdot$m$^2\cdot$kg$^{-2}$}]$

>Top <V>:

1. verbatim
2. vertical dots
3. vector-1
4. vector-2
5. vector-3
6. Vee/veebar
7. vertical line/ vertical line (double)
8. Vvdash

<V>:

1. \#\ \$\ \%\ \&\ \_ \{\ \} \verb|\|\ \verb|^|
2. \vdots\ \ddots$
3. \vec{expression}\ \overline{a}\ \overrightarrow{ab}\ \ \vec{A}\ \|x\|\ \vec{a}\perp\vec{b}\ \vec{a}\parallel\vec{b}
4. ^t\bf{A}\ \bf{A}^{\mathrm{T}}
5. \vec{a}\cdot\vec{b}\ \bf{A}\times\bf{B}
6. \bf{A}=\left(
   \begin {array}{c}
   a_1\\a_2\\
   \vdots\\a_n
   \end {array}
   \right)
7. \vee\ \bigvee\ \veebar\ \wedge$
8. \vert\ \Vert$
9. \Vvdash$

<V>:

1. $\#\ \$\ \%\ \&\ \_ \{\ \} \verb|\|\ \verb|^|$
2. $\vdots\ \ddots$
3. $\vec{expression}\ \overline{a}\ \overrightarrow{ab}\ \ \vec{A}\ \|x\|\ \vec{a}\perp\vec{b}\ \vec{a}\parallel\vec{b}$
4. $^t\bf{A}\ \bf{A}^{\mathrm{T}}$
5. $\vec{a}\cdot\vec{b}\ \bf{A}\times\bf{B}$
6. $\bf{A}=\left( \begin{array}{c} a_1\\a_2\\ \vdots\\a_n \end{array} \right)$
7. $\vee\ \bigvee\ \veebar\ \wedge$
8. $\vert\ \Vert$
9. $\Vvdash$

>Top <W>:

1. wedge
2. bar wedge
3. weierstrass elliptic
4. wide hat/ wide tilde
5. wreath product

<W>:

1. \wedge\ \vee\ \bigwedge\ \bigvee$
2. \barwedge\ \veebar\ \doublebarwedge$
3. \wp$
4. \widehat{text}\ \widetilde{text}$
5. \wr$

<W>:

1. $\wedge\ \vee\ \bigwedge\ \bigvee\ \curlywedge\ \curlyvee$
2. $\barwedge\ \veebar\ \doublebarwedge$
3. $\wp$
4. $\widehat{text}\ \widetilde{text}$
5. $\wr$

>Top <X>:

1. xi/Xi

<X>:

1. \xi\ \Xi\ \varXi$

<X>:

1. $\xi\ \Xi\ \varXi$

>Top <Y>:

1. yen

<Y>:

1. \yen$

<Y>:

1. $\yen$

>Top <Z>:

1. zeta

<Z>:

1. \zeta$

<Z>:

1. $\zeta$

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