User:Salix alba/maths2018

These statistics are from analysis of all mathematical and chemical formula from the June 2018 dump

Maths equations per wiki

Top 20

• 1050627 enwiki
• 633916 dewiki
• 347959 frwiki
• 345277 enwikiversity
• 309154 ruwiki
• 207547 itwiki
• 205233 enwikibooks
• 181745 zhwiki
• 166130 frwikiversity
• 165819 eswiki
• 153952 ptwiki
• 148956 plwiki
• 144897 ukwiki
• 139353 jawiki
• 135909 kowiki
• 133368 dewikibooks
• 129413 hewiki
• 97290 enwikisource
• 82504 frwikisource
• 78378 cawiki

Pages with maths equation per wiki

• 63793 enwiki
• 33066 dewiki
• 20120 frwiki
• 19961 ruwiki
• 11566 jawiki
• 11060 zhwiki
• 10930 eswiki
• 10782 itwiki
• 9051 plwiki
• 8274 ptwiki
• 7752 hewiki
• 7422 ukwiki
• 7190 nlwiki
• 6932 enwikisource
• 6832 frwikisource
• 6735 srwiki
• 6303 enwikiversity
• 6128 enwikibooks
• 5628 shwiki
• 5364 commonswiki

Equations per namespace

5040531 0 (Article)
237333 1 Talk:
752712 2 User:
 64742 3 User Talk:
105637 4 
  7321 5 
 16263 6 
   396 7 
   294 8 
   137 9 
 12817 10 
  1290 11 
 36485 12 
  1183 13 
   263 14 
   359 15 
    64 90 
  7205 100 
  2189 101 
 65076 102 
  1499 103 
183049 104 
   540 105 
 32903 106 
   337 107 
 15049 108 
    42 109 
   458 110 
     1 111 
   530 113 
  7237 114 
    31 115 
    41 116 
  4466 118 
     3 119 
    32 121 
    28 200 
   362 202 
    24 203 
  8491 250 
    11 447 
   425 828 
     7 829 
   820 1198 

Opening tags

• 5588629 <math>
• 859406 :<math>
• 74653 ::<math>
• 17967 <MATH>
• 9790 :::<math>
• 9154 <math display="inline">
• 7759 <chem>
• 6066 <math display="block">
• 5836 <ce>
• 4961 ::::<math>
• 4254 <math dir = "ltr">
• 2342 :::::<math>
• 1646 ::::::<math>
• 1460 :<chem>
• 933 <Math>
• 728 <math chem>
• 647 :<math chem>
• 637 :<ce>
• 590 <math forcemathmode=mathml>
• 586 :::::::<math>

Most common equations

49692 $n$ 43553 $A$ 42323 $x$ 33946 $f$ 32490 $X$ 29502 $a$ 22383 $p$ 21077 $k$ 20517 $G$ 19840 $B$ 19505 $M$ 17476 $\rightleftharpoons$ 17313 $\alpha$ 17213 $m$ 16905 $S$ 16515 $R$ 16304 $b$ 15893 $P$ 15419 $y$ 14781 $i$ 14690 $K$ 14522 $V$ 14242 $t$ 14217 $r$ 13658 $T$ 13035 $c$ 12259 $N$ 11852 $F$ 11380 $E$ 11325 $C$ 10698 $\lambda$ 10486 $L$ 10311 $v$ 10242 $g$ 9678 $\mu$ 9132 $1$ 8913 $0$ 8825 $H$ 8777 $q$ 8744 $Y$ 8657 $d$ 8597 $\theta$ 8370 ${\displaystyle }$ 8354 $D$ 8336 $I$ 8150 $z$ 8112 $h$ 8054 $\phi$ 7903 $\pi$ 7766 $U$ 7757 $s$ 7565 $Q$ 7557 $\beta$ 7483 $\sigma$ 7314 $u$ 7179 $\omega$ 7169 $\rho$ 6950 $\gamma$ 6660 $\varphi$ 6390 $f(x)$ 6338 $e$ 6232 $\Omega$ 5315 $\tau$ 5008 $l$ 4810 ${\mathfrak {P}}$ 4755 $j$ 4589 $x_{0}$ 4496 $\delta$ 4436 $W$ 4433 $\mathbb {R}$ 4335 $\epsilon$ 4316 $w$ 4265 $\mathbb {R}$ 4047 $\nu$ 3940 ${\mathbb {\color {Blue}_{DMY}} }$ 3854 $\varepsilon$ 3735 $\psi$ 3583 $2$ 3483 $\Gamma$ 3398 $x_{i}$ 3392 $Z$ 3374 $\$ 3361 $\infty$ 3146 $\Phi$ 3111 $\Rightarrow$ 3067 $\rightarrow$ 3040 $\Sigma$ 2838 $\Delta$ 2808 $O$ 2792 $+$ 2721 $=$ 2699 $\kappa$ 2605 $\mathbb {C}$ 2554 $\lbrack \alpha \rbrack _{D}^{25}$ 2550 $\eta$ 2518 $x_{1}$ 2385 $\cdot$ 2306 $\mathbb {R} ^{n}$ 2287 $\sim$ 2284 $\mathbb {N}$ 2230 ${\sqrt {2}}$ 2214 $\xi$ 2186 $[a,b]$ 2181 $J$ 2176 $A$ 2121 $3$ 2095 $\mathbb {R} ^{n}$ 2001 $x$ 1921 $\ell$ 1914 $n$ 1879 $\mathbb {Z}$ 1873 $-1$ 1844 $\mathbb {Q}$ 1832 $a_{n}$ 1831 $\hbar$ 1825 ${\mathcal {A}}$ 1821 $o$ 1767 $\times$ 1751 ${\mathfrak {p}}$ 1693 $x_{2}$ 1693 $-$ 1672 ${\mathcal {F}}$ 1654 $x=0$ 1615 $X$ 1604 $\chi$ 1600 $\varnothing$ 1599 ${\mathfrak {g}}$ 1579 $a_{i}$ 1573 $n-1$ 1573 $\Lambda$ 1530 $\mathbb {R}$ 1514 $\to$ 1497 $AB$ 1474 $f$ 1443 $p_{i}$ 1440 $\color {Red}\oplus$ 1437 $\in$ 1429 $\Leftrightarrow$ 1420 $','$ 1409 ${\mathcal {C}}$ 1405 $2\pi$ 1397 $\flat$ 1394 $\land$ 1385 ${\mathcal {C}}$ 1380 $\mathbf {A}$ 1353 $X_{i}$ 1352 $4$ 1322 $H_{0}$ 1279 $\aleph _{0}$ 1265 $\alpha$ 1229 $\Delta t$ 1217 $\zeta$ 1217 $n+1$ 1212 $A_{i}$ 1209 $2^{n}$ 1208 $\mathbb {C}$ 1203 $A_{1}$ 1187 $a_{1}$ 1183 $\nabla$ 1180 $x\in X$ 1177 $-\infty$ 1175 ${\frac {1}{2}}$ 1165 $x(t)$ 1164 $\mathbb {Z}$ 1138 $z_{0}$ 1134 $+\infty$ 1132 ${\mathcal {H}}$ 1130 $t_{0}$ 1129 $\mathbf {x}$ 1111 $x_{n}$ 1096 $g(x)$ 1095 $P_{1}$ 1094 $(x,y)$ 1086 $(a,b)$ 1083 $\Delta x$ 1072 $T_{1}$ 1071 $\oplus$ 1062 $n=1$ 1061 $\mathbb {N}$ 1060 $5$ 1056 $\longrightarrow$ 1045 $\mathbb {R} ^{3}$ 1045 $\circ$ 1040 $*$ 1037 $a$ 1035 $S_{n}$ 1026 $O(n)$ 1021 ${\textit {n}}_{D}^{20}$ 1002 $x\,$

Alternatives

• <math> ${\textstyle n}$ inline text — {{mvar}} n inline text
• <math> ${\textstyle A}$ inline text — {{mvar}} A inline text
• <math> ${\textstyle \alpha }$ inline text — {{mvar}} α inline text
• <math> ${\textstyle \pi }$ inline text — {{mvar}} π inline text

Some really big equations

• 166 lines de:Laplace-Operator

${\begin{aligned}&\left({\frac {\partial ^{2}}{\partial r^{2}}}+{\frac {2}{r}}{\frac {\partial }{\partial r}}+{\frac {1}{r^{2}}}{\frac {\partial ^{2}}{\partial \theta ^{2}}}+{\frac {1}{r^{2}\tan \theta }}{\frac {\partial }{\partial \theta }}+{\frac {1}{r^{2}\sin ^{2}\theta }}{\frac {\partial ^{2}}{\partial \varphi ^{2}}}\right)\cdot (v_{r}{\hat {e}}_{r}+v_{\theta }{\hat {e}}_{\theta }+v_{\varphi }{\hat {e}}_{\varphi })\\=&{\frac {\partial ^{2}}{\partial r^{2}}}(v_{r}{\hat {e}}_{r}+v_{\theta }{\hat {e}}_{\theta }+v_{\varphi }{\hat {e}}_{\varphi })+{\frac {2}{r}}{\frac {\partial }{\partial r}}(v_{r}{\hat {e}}_{r}+v_{\theta }{\hat {e}}_{\theta }+v_{\varphi }{\hat {e}}_{\varphi })+{\frac {1}{r^{2}}}{\frac {\partial ^{2}}{\partial \theta ^{2}}}(v_{r}{\hat {e}}_{r}+v_{\theta }{\hat {e}}_{\theta }+v_{\varphi }{\hat {e}}_{\varphi })\\&+{\frac {1}{r^{2}\tan \theta }}{\frac {\partial }{\partial \theta }}(v_{r}{\hat {e}}_{r}+v_{\theta }{\hat {e}}_{\theta }+v_{\varphi }{\hat {e}}_{\varphi })+{\frac {1}{r^{2}\sin ^{2}\theta }}{\frac {\partial ^{2}}{\partial \varphi ^{2}}}(v_{r}{\hat {e}}_{r}+v_{\theta }{\hat {e}}_{\theta }+v_{\varphi }{\hat {e}}_{\varphi })\\=&v_{r,rr}{\hat {e}}_{r}+v_{\theta ,rr}{\hat {e}}_{\theta }+v_{\varphi ,rr}{\hat {e}}_{\varphi }+{\frac {2}{r}}v_{r,r}{\hat {e}}_{r}+{\frac {2}{r}}v_{\theta ,r}{\hat {e}}_{\theta }+{\frac {2}{r}}v_{\varphi ,r}{\hat {e}}_{\varphi }\\&+{\frac {1}{r^{2}}}{\frac {\partial }{\partial \theta }}(v_{r,\theta }{\hat {e}}_{r}+v_{r}{\hat {e}}_{\theta }+v_{\theta ,\theta }{\hat {e}}_{\theta }-v_{\theta }{\hat {e}}_{r}+v_{\varphi ,\theta }{\hat {e}}_{\varphi })\\&+{\frac {1}{r^{2}\tan \theta }}(v_{r,\theta }{\hat {e}}_{r}+v_{r}{\hat {e}}_{\theta }+v_{\theta ,\theta }{\hat {e}}_{\theta }-v_{\theta }{\hat {e}}_{r}+v_{\varphi ,\theta }{\hat {e}}_{\varphi })\\&+{\frac {1}{r^{2}\sin ^{2}\theta }}{\frac {\partial }{\partial \varphi }}(v_{r,\varphi }{\hat {e}}_{r}+\sin \theta v_{r}{\hat {e}}_{\varphi }+v_{\theta ,\varphi }{\hat {e}}_{\theta }+\cos \theta v_{\theta }{\hat {e}}_{\varphi }+v_{\varphi ,\varphi }{\hat {e}}_{\varphi }-\sin \theta v_{\varphi }{\hat {e}}_{r}-\cos \theta v_{\varphi }{\hat {e}}_{\theta })\\=&v_{r,rr}{\hat {e}}_{r}+v_{\theta ,rr}{\hat {e}}_{\theta }+v_{\varphi ,rr}{\hat {e}}_{\varphi }+{\frac {2}{r}}v_{r,r}{\hat {e}}_{r}+{\frac {2}{r}}v_{\theta ,r}{\hat {e}}_{\theta }+{\frac {2}{r}}v_{\varphi ,r}{\hat {e}}_{\varphi }\\&+{\frac {1}{r^{2}}}(v_{r,\theta \theta }{\hat {e}}_{r}+v_{r,\theta }{\hat {e}}_{\theta }+v_{r,\theta }{\hat {e}}_{\theta }-v_{r}{\hat {e}}_{r}+v_{\theta ,\theta \theta }{\hat {e}}_{\theta }-v_{\theta ,\theta }{\hat {e}}_{r}-v_{\theta ,\theta }{\hat {e}}_{r}-v_{\theta }{\hat {e}}_{\theta }+v_{\varphi ,\theta \theta }{\hat {e}}_{\varphi })\\&+{\frac {1}{r^{2}\tan \theta }}(v_{r,\theta }{\hat {e}}_{r}+v_{r}{\hat {e}}_{\theta }+v_{\theta ,\theta }{\hat {e}}_{\theta }-v_{\theta }{\hat {e}}_{r}+v_{\varphi ,\theta }{\hat {e}}_{\varphi })\\&+{\frac {1}{r^{2}\sin ^{2}\theta }}(v_{r,\varphi \varphi }{\hat {e}}_{r}+\sin \theta v_{r,\varphi }{\hat {e}}_{\varphi }+\sin \theta v_{r,\varphi }{\hat {e}}_{\varphi }-\sin ^{2}\theta v_{r}{\hat {e}}_{r}-\sin \theta \cos \theta v_{r}{\hat {e}}_{\theta }\\&+v_{\theta ,\varphi \varphi }{\hat {e}}_{\theta }+\cos \theta v_{\theta ,\varphi }{\hat {e}}_{\varphi }+\cos \theta v_{\theta ,\varphi }{\hat {e}}_{\varphi }-\sin \theta \cos \theta v_{\theta }{\hat {e}}_{r}-\cos ^{2}\theta v_{\theta }{\hat {e}}_{\theta }\\&+v_{\varphi ,\varphi \varphi }{\hat {e}}_{\varphi }-\sin \theta v_{\varphi ,\varphi }{\hat {e}}_{r}-\cos \theta v_{\varphi ,\varphi }{\hat {e}}_{\theta }-\sin \theta v_{\varphi ,\varphi }{\hat {e}}_{r}-\sin ^{2}\theta v_{\varphi }{\hat {e}}_{\varphi }\\&-\cos \theta v_{\varphi ,\varphi }{\hat {e}}_{\theta }-\cos ^{2}\theta v_{\varphi }{\hat {e}}_{\varphi })\\=&{\Bigl (}v_{r,rr}+{\frac {2}{r}}v_{r,r}+{\frac {1}{r^{2}}}v_{r,\theta \theta }+{\frac {1}{r^{2}\tan \theta }}v_{r,\theta }+{\frac {1}{r^{2}\sin ^{2}\theta }}v_{r,\varphi \varphi }\\&\qquad -{\frac {1}{r^{2}}}v_{r}-{\frac {1}{r^{2}}}v_{\theta ,\theta }-{\frac {1}{r^{2}}}v_{\theta ,\theta }-{\frac {1}{r^{2}\tan \theta }}v_{\theta }-{\frac {1}{r^{2}}}v_{r}-{\frac {\cos \theta }{r^{2}\sin \theta }}v_{\theta }-{\frac {1}{r^{2}\sin \theta }}v_{\varphi ,\varphi }-{\frac {1}{r^{2}\sin \theta }}v_{\varphi ,\varphi }{\Bigr )}{\hat {e}}_{r}\\&+{\Bigl (}v_{\theta ,rr}+{\frac {2}{r}}v_{\theta ,r}+{\frac {1}{r^{2}}}v_{\theta ,\theta \theta }+{\frac {1}{r^{2}\tan \theta }}v_{\theta ,\theta }+{\frac {1}{r^{2}\sin ^{2}\theta }}v_{\theta ,\varphi \varphi }\\&\qquad +{\frac {2}{r^{2}}}v_{r,\theta }-{\frac {1}{r^{2}}}v_{\theta }+{\frac {1}{r^{2}\tan \theta }}v_{r}-{\frac {\cos \theta }{r^{2}\sin \theta }}v_{r}-{\frac {\cos ^{2}\theta }{r^{2}\sin ^{2}\theta }}v_{\theta }-{\frac {2\cos \theta }{r^{2}\sin ^{2}\theta }}v_{\varphi ,\varphi }{\Bigr )}{\hat {e}}_{\theta }\\&+{\Bigl (}v_{\varphi ,rr}+{\frac {2}{r}}v_{\varphi ,r}+{\frac {1}{r^{2}}}v_{\varphi ,\theta \theta }+{\frac {1}{r^{2}\tan \theta }}v_{\varphi ,\theta }+{\frac {1}{r^{2}\sin ^{2}\theta }}v_{\varphi ,\varphi \varphi }\\&\qquad +{\frac {2}{r^{2}\sin \theta }}v_{r,\varphi }+{\frac {2\cos \theta }{r^{2}\sin ^{2}\theta }}v_{\theta ,\varphi }-{\frac {\sin ^{2}\theta +\cos ^{2}\theta }{r^{2}\sin ^{2}\theta }}v_{\varphi }{\Bigr )}{\hat {e}}_{\varphi }\\=&\left(\Delta v_{r}-{\frac {2}{r^{2}}}v_{r}-{\frac {2}{r^{2}}}v_{\theta ,\theta }-{\frac {2}{r^{2}\tan \theta }}v_{\theta }-{\frac {2}{r^{2}\sin \theta }}v_{\varphi ,\varphi }\right){\hat {e}}_{r}\\&+\left(\Delta v_{\theta }+{\frac {2}{r^{2}}}v_{r,\theta }-{\frac {1}{r^{2}\sin ^{2}\theta }}v_{\theta }-{\frac {2\cos \theta }{r^{2}\sin ^{2}\theta }}v_{\varphi ,\varphi }\right){\hat {e}}_{\theta }\\&+\left(\Delta v_{\varphi }+{\frac {2\cos \theta }{r^{2}\sin ^{2}\theta }}v_{\theta ,\varphi }-{\frac {1}{r^{2}\sin ^{2}\theta }}v_{\varphi }+{\frac {2}{r^{2}\sin \theta }}v_{r,\varphi }\right){\hat {e}}_{\varphi }\end{aligned}},$

• 127 en:Trigonometric constants expressed in real radicals

${\begin{array}{r|l|l|l}n&\sin \left({\frac {2\pi }{n}}\right)&\cos \left({\frac {2\pi }{n}}\right)&\tan \left({\frac {2\pi }{n}}\right)\\\hline 1&0&1&0\\\hline 2&0&-1&0\\\hline 3&{\frac {1}{2}}{\sqrt {3}}&-{\frac {1}{2}}&-{\sqrt {3}}\\\hline 4&1&0&\pm \infty \\\hline 5&{\frac {1}{4}}\left({\sqrt {10+2{\sqrt {5}}}}\right)&{\frac {1}{4}}\left({\sqrt {5}}-1\right)&{\sqrt {5+2{\sqrt {5}}}}\\\hline 6&{\frac {1}{2}}{\sqrt {3}}&{\frac {1}{2}}&{\sqrt {3}}\\\hline 7&{\frac {1}{2}}{\sqrt {{\frac {1}{3}}\left(7-\omega ^{2}{\sqrt[{3}]{\frac {7+21{\sqrt {-3}}}{2}}}-\omega {\sqrt[{3}]{\frac {7-21{\sqrt {-3}}}{2}}}\right)}}&{\frac {1}{6}}\left(-1+{\sqrt[{3}]{\frac {7+21{\sqrt {-3}}}{2}}}+{\sqrt[{3}]{\frac {7-21{\sqrt {-3}}}{2}}}\right)&\\\hline 8&{\frac {1}{2}}{\sqrt {2}}&{\frac {1}{2}}{\sqrt {2}}&1\\\hline 9&{\frac {1}{4}}\left({\sqrt[{3}]{4(-1+{\sqrt {-3}})}}+{\sqrt[{3}]{4(-1-{\sqrt {-3}})}}\right)&&\\\hline 10&{\frac {1}{4}}\left({\sqrt {10-2{\sqrt {5}}}}\right)&{\frac {1}{4}}\left({\sqrt {5}}+1\right)&{\sqrt {5-2{\sqrt {5}}}}\\\hline 11&&&\\\hline 12&{\frac {1}{2}}&{\frac {1}{2}}{\sqrt {3}}&{\frac {1}{3}}{\sqrt {3}}\\\hline 13&&&\\\hline 14&{\frac {1}{24}}{\sqrt {3\left(112-{\sqrt[{3}]{14336+{\sqrt {-5549064193}}}}-{\sqrt[{3}]{14336-{\sqrt {-5549064193}}}}\right)}}&{\frac {1}{24}}{\sqrt {3\left(80+{\sqrt[{3}]{14336+{\sqrt {-5549064193}}}}+{\sqrt[{3}]{14336-{\sqrt {-5549064193}}}}\right)}}&{\sqrt {\frac {112-{\sqrt[{3}]{14336+{\sqrt {-5549064193}}}}-{\sqrt[{3}]{14336-{\sqrt {-5549064193}}}}}{80+{\sqrt[{3}]{14336+{\sqrt {-5549064193}}}}+{\sqrt[{3}]{14336-{\sqrt {-5549064193}}}}}}}\\\hline 15&{\frac {1}{8}}\left({\sqrt {15}}+{\sqrt {3}}-{\sqrt {10-2{\sqrt {5}}}}\right)&{\frac {1}{8}}\left(1+{\sqrt {5}}+{\sqrt {30-6{\sqrt {5}}}}\right)&{\frac {1}{2}}\left(-3{\sqrt {3}}-{\sqrt {15}}+{\sqrt {50+22{\sqrt {5}}}}\right)\\\hline 16&{\frac {1}{2}}\left({\sqrt {2-{\sqrt {2}}}}\right)&{\frac {1}{2}}\left({\sqrt {2+{\sqrt {2}}}}\right)&{\sqrt {2}}-1\\\hline 17&&{\frac {1}{16}}\left(-1+{\sqrt {17}}+{\sqrt {34-2{\sqrt {17}}}}+2{\sqrt {17+3{\sqrt {17}}-{\sqrt {34-2{\sqrt {17}}}}-2{\sqrt {34+2{\sqrt {17}}}}}}\right)&\\\hline 18&{\frac {1}{4}}\left({\sqrt[{3}]{4{\sqrt {-1}}-4{\sqrt {3}}}}-{\sqrt[{3}]{4{\sqrt {-1}}+4{\sqrt {3}}}}\right)&{\frac {1}{4}}\left({\sqrt[{3}]{4+4{\sqrt {-3}}}}+{\sqrt[{3}]{4-4{\sqrt {-3}}}}\right)&\\\hline 19&&&\\\hline 20&{\frac {1}{4}}\left({\sqrt {5}}-1\right)&{\frac {1}{4}}\left({\sqrt {10+2{\sqrt {5}}}}\right)&{\frac {1}{5}}\left({\sqrt {25-10{\sqrt {5}}}}\right)\\\hline 21&&&\\\hline 22&&&\\\hline 23&&&\\\hline 24&{\frac {1}{4}}\left({\sqrt {6}}-{\sqrt {2}}\right)&{\frac {1}{4}}\left({\sqrt {6}}+{\sqrt {2}}\right)&2-{\sqrt {3}}\end{array}}$

• 85 zh:连续q勒让德多项式

$P_{5}(x|q)=1+\left(1-{q}^{-5}\right)\left(1-{q}^{-4}\right)\left(1-{q}^{-3}\right)\left(1-{q}^{6}\right)\left(1-{q}^{7}\right)\left(1-{q}^{8}\right)\left(1-{\sqrt[{4}]{q}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{5/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{9/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{\frac {\sqrt[{4}]{q}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{5/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{9/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right){q}^{3}\left(1-q\right)^{-2}\left(1-{q}^{2}\right)^{-2}\left(1-{q}^{3}\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+{q}^{3/2}\right)^{-1}\left(1+{q}^{5/2}\right)^{-1}\left(1+q\right)^{-1}\left(1+{q}^{2}\right)^{-1}\left(1+{q}^{3}\right)^{-1}+\left(1-{q}^{-5}\right)\left(1-{q}^{-4}\right)\left(1-{q}^{-3}\right)\left(1-{q}^{-2}\right)\left(1-{q}^{6}\right)\left(1-{q}^{7}\right)\left(1-{q}^{8}\right)\left(1-{q}^{9}\right)\left(1-{\sqrt[{4}]{q}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{5/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{9/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{\frac {13}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{\frac {\sqrt[{4}]{q}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{5/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{9/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{q}^{\frac {13}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)^{-1}\right){q}^{4}\left(1-q\right)^{-2}\left(1-{q}^{2}\right)^{-2}\left(1-{q}^{3}\right)^{-2}\left(1-{q}^{4}\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+{q}^{3/2}\right)^{-1}\left(1+{q}^{5/2}\right)^{-1}\left(1+{q}^{7/2}\right)^{-1}\left(1+q\right)^{-1}\left(1+{q}^{2}\right)^{-1}\left(1+{q}^{3}\right)^{-1}\left(1+{q}^{4}\right)^{-1}+\left(1-{q}^{-5}\right)\left(1-{q}^{-4}\right)\left(1-{q}^{-3}\right)\left(1-{q}^{-2}\right)\left(1-{q}^{-1}\right)\left(1-{q}^{6}\right)\left(1-{q}^{7}\right)\left(1-{q}^{8}\right)\left(1-{q}^{9}\right)\left(1-{q}^{10}\right)\left(1-{\sqrt[{4}]{q}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{5/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{9/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{\frac {13}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{\frac {17}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{\frac {\sqrt[{4}]{q}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{5/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{9/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{q}^{\frac {13}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)^{-1}\right)\left(1-{q}^{\frac {17}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)^{-1}\right){q}^{5}\left(1-q\right)^{-2}\left(1-{q}^{2}\right)^{-2}\left(1-{q}^{3}\right)^{-2}\left(1-{q}^{4}\right)^{-2}\left(1-{q}^{5}\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+{q}^{3/2}\right)^{-1}\left(1+{q}^{5/2}\right)^{-1}\left(1+{q}^{7/2}\right)^{-1}\left(1+{q}^{9/2}\right)^{-1}\left(1+q\right)^{-1}\left(1+{q}^{2}\right)^{-1}\left(1+{q}^{3}\right)^{-1}\left(1+{q}^{4}\right)^{-1}\left(1+{q}^{5}\right)^{-1}-{\frac {{q}^{5/4}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)\left(x+i{\sqrt {1-{x}^{2}}}\right)}}-{\frac {{q}^{5/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}+{q}^{\frac {29}{4}}\left(1-q\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+q\right)^{-1}\left(x+i{\sqrt {1-{x}^{2}}}\right)^{-1}+{q}^{\frac {29}{4}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\left(1-q\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+q\right)^{-1}+{q}^{-{\frac {15}{4}}}\left(1-q\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+q\right)^{-1}\left(x+i{\sqrt {1-{x}^{2}}}\right)^{-1}+\left(x+i{\sqrt {1-{x}^{2}}}\right){q}^{-{\frac {15}{4}}}\left(1-q\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+q\right)^{-1}-{\frac {{q}^{9/4}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)\left(x+i{\sqrt {1-{x}^{2}}}\right)}}-{\frac {{q}^{9/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}+\left(1-{q}^{-5}\right)\left(1-{q}^{-4}\right)\left(1-{q}^{6}\right)\left(1-{q}^{7}\right)\left(1-{\sqrt[{4}]{q}}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{q}^{5/4}\left(x+i{\sqrt {1-{x}^{2}}}\right)\right)\left(1-{\frac {\sqrt[{4}]{q}}{x+i{\sqrt {1-{x}^{2}}}}}\right)\left(1-{\frac {{q}^{5/4}}{x+i{\sqrt {1-{x}^{2}}}}}\right){q}^{2}\left(1-q\right)^{-2}\left(1-{q}^{2}\right)^{-2}\left(1+{\sqrt {q}}\right)^{-1}\left(1+{q}^{3/2}\right)^{-1}\left(1+q\right)^{-1}\left(1+{q}^{2}\right)^{-1}+{\frac {q}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}+{\frac {{q}^{3/2}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}-{\frac {{q}^{7}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}-{\frac {{q}^{15/2}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}-{\frac {1}{{q}^{4}\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}-{\frac {1}{{q}^{7/2}\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}+{\frac {{q}^{2}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}+{\frac {{q}^{5/2}}{\left(1-q\right)^{2}\left(1+{\sqrt {q}}\right)\left(1+q\right)}}\cdots$

• 85 de:Fibonacci-Folge

${\begin{aligned}{\begin{pmatrix}0&1\\1&1\end{pmatrix}}^{n}{\begin{pmatrix}f(0)\\f(1)\end{pmatrix}}&=A^{n}{\begin{pmatrix}f(0)\\f(1)\end{pmatrix}}=\left(TDT^{-1}\right)^{n}{\begin{pmatrix}f(0)\\f(1)\end{pmatrix}}=TD^{n}T^{-1}{\begin{pmatrix}0\\1\end{pmatrix}}\\&={\begin{pmatrix}{\frac {-1-{\sqrt {5}}}{2}}&{\frac {-1+{\sqrt {5}}}{2}}\\1&1\end{pmatrix}}{\begin{pmatrix}{\frac {1-{\sqrt {5}}}{2}}&0\\0&{\frac {1+{\sqrt {5}}}{2}}\end{pmatrix}}^{n}{\begin{pmatrix}-{\frac {1}{\sqrt {5}}}&{\frac {{\sqrt {5}}-1}{2{\sqrt {5}}}}\\{\frac {1}{\sqrt {5}}}&{\frac {{\sqrt {5}}+1}{2{\sqrt {5}}}}\end{pmatrix}}{\begin{pmatrix}0\\1\end{pmatrix}}\\&={\begin{pmatrix}{\frac {-1-{\sqrt {5}}}{2}}&{\frac {-1+{\sqrt {5}}}{2}}\\1&1\end{pmatrix}}{\begin{pmatrix}\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}&0\\0&\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}\end{pmatrix}}{\begin{pmatrix}-{\frac {1}{\sqrt {5}}}&{\frac {{\sqrt {5}}-1}{2{\sqrt {5}}}}\\{\frac {1}{\sqrt {5}}}&{\frac {{\sqrt {5}}+1}{2{\sqrt {5}}}}\end{pmatrix}}{\begin{pmatrix}0\\1\end{pmatrix}}\\&={\begin{pmatrix}{\frac {-1-{\sqrt {5}}}{2}}\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}&{\frac {-1+{\sqrt {5}}}{2}}\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}\\\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}&\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}\end{pmatrix}}{\begin{pmatrix}{\frac {{\sqrt {5}}-1}{2{\sqrt {5}}}}\\{\frac {{\sqrt {5}}+1}{2{\sqrt {5}}}}\end{pmatrix}}\\&={\begin{pmatrix}-{\frac {1}{\sqrt {5}}}\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}+{\frac {1}{\sqrt {5}}}\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}\\-{\frac {1}{\sqrt {5}}}\left({\frac {1-{\sqrt {5}}}{2}}\right)\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}+{\frac {1}{\sqrt {5}}}\left({\frac {1+{\sqrt {5}}}{2}}\right)\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}\end{pmatrix}}\\&={\begin{pmatrix}{\frac {1}{\sqrt {5}}}\left[\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n}-\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n}\right]\\{\frac {1}{\sqrt {5}}}\left[\left({\frac {1+{\sqrt {5}}}{2}}\right)^{n+1}-\left({\frac {1-{\sqrt {5}}}{2}}\right)^{n+1}\right]\end{pmatrix}}\\&={\begin{pmatrix}f(n)\\f(n+1)\end{pmatrix}}\end{aligned}}$

• 78 ${\begin{array}{l}\mathbf {b} _{j}\\\\\mathbf {b} _{j}\end{array}}{\begin{array}{c}=\\\\=\end{array}}\underbrace {\underbrace {\underbrace {{\begin{array}{c}\mathbf {a} _{j}\\\\\mathbf {a} _{j}\end{array}}{\begin{array}{c}-\\\\-\end{array}}{\begin{array}{c}\mathbf {proj} _{\mathbf {b} _{1}}\,\mathbf {a} _{j}\\||\\\mathbf {proj} _{\mathbf {b} _{1}}\,\mathbf {a} _{j}\end{array}}} _{\mathbf {a} _{j}^{(1)}}{\begin{array}{c}-\\\\-\end{array}}{\begin{array}{c}\mathbf {proj} _{\mathbf {b} _{2}}\,\mathbf {a} _{j}\\||\\\mathbf {proj} _{\mathbf {b} _{2}}\,\mathbf {a} _{j}^{(1)}\end{array}}} _{\mathbf {a} _{j}^{(2)}}{\begin{array}{c}-\\\\-\end{array}}{\begin{array}{c}\mathbf {proj} _{\mathbf {b} _{3}}\,\mathbf {a} _{j}\\||\\\mathbf {proj} _{\mathbf {b} _{3}}\,\mathbf {a} _{j}^{(2)}\end{array}}} _{\mathbf {a} _{j}^{(3)}}{\begin{array}{ccc}-&\ldots &-\\\\-&\ldots &-\end{array}}{\begin{array}{cc}\mathbf {proj} _{\mathbf {b} _{j-1}}\,\mathbf {a} _{j}&(14)\\||&\\\mathbf {proj} _{\mathbf {b} _{j-1}}\,\mathbf {a} _{j}^{(j-2)}&(15)\end{array}}$
• 73 es:Matriz de adjuntos

${\mbox{cof}}(\mathbf {A} )={\begin{pmatrix}+\left|{\begin{matrix}A_{22}&A_{23}\\A_{32}&A_{33}\end{matrix}}\right|&-\left|{\begin{matrix}A_{21}&A_{23}\\A_{31}&A_{33}\end{matrix}}\right|&+\left|{\begin{matrix}A_{21}&A_{22}\\A_{31}&A_{32}\end{matrix}}\right|\\&&\\-\left|{\begin{matrix}A_{12}&A_{13}\\A_{32}&A_{33}\end{matrix}}\right|&+\left|{\begin{matrix}A_{11}&A_{13}\\A_{31}&A_{33}\end{matrix}}\right|&-\left|{\begin{matrix}A_{11}&A_{12}\\A_{31}&A_{32}\end{matrix}}\right|\\&&\\+\left|{\begin{matrix}A_{12}&A_{13}\\A_{22}&A_{23}\end{matrix}}\right|&-\left|{\begin{matrix}A_{11}&A_{13}\\A_{21}&A_{23}\end{matrix}}\right|&+\left|{\begin{matrix}A_{11}&A_{12}\\A_{21}&A_{22}\end{matrix}}\right|\end{pmatrix}}={\begin{pmatrix}A_{22}A_{33}-A_{23}A_{32}&A_{23}A_{31}-A_{21}A_{33}&A_{21}A_{32}-A_{22}A_{31}\\A_{32}A_{13}-A_{33}A_{12}&A_{33}A_{11}-A_{31}A_{13}&A_{31}A_{12}-A_{32}A_{11}\\A_{12}A_{23}-A_{13}A_{22}&A_{13}A_{21}-A_{11}A_{23}&A_{11}A_{22}-A_{12}A_{21}\end{pmatrix}}$

• 69 he:wiki:הוצאת שורש ריבועי

${\begin{matrix}\ \ 1\ \ 8\ \ \ 6\ \ .8\ \ 9\\{\sqrt {3\ 49\ 27\ .87\ 21}}\\&&&&&x=0\ \ \ \ &20x+a\equiv {\underline {a}}\ \ \ \ \\{\underline {\ }}\ 3\qquad \qquad \quad \ &{\underline {a}}\times {\underline {a}}\leq 3\ \\\ {\underline {\ 1\ }}\qquad \qquad \quad &{\underline {1}}\times {\underline {1}}=1\ &\Rightarrow &a=1&\Rightarrow &x={\underline {1}}\ \ \ \ &20x+a\equiv 2{\underline {a}}\ \ \ \\{\underline {\ }}\ 2\ 49\qquad \qquad &2{\underline {a}}\times {\underline {a}}\leq 249\\{\underline {\ 2\ 24\ }}\quad \qquad \ &2{\underline {8}}\times {\underline {8}}=224&\Rightarrow &a=8&\Rightarrow &x=1{\underline {8}}\ \ \ &20x+a\equiv 36{\underline {a}}\ \ \\{\underline {\ }}\ 25\ 27\qquad &36{\underline {a}}\times {\underline {a}}\leq 2527\\\ \ {\underline {\ 21\ 96\ }}\qquad &36{\underline {6}}\times {\underline {6}}=2196&\Rightarrow &a=6&\Rightarrow &x=18{\underline {6}}\ \ &20x+a\equiv 372{\underline {a}}\ \\\ {\underline {\ }}\ 3\ 31\ .87&372{\underline {a}}\times {\underline {a}}\leq 33187\\\ \ \ {\underline {\ 2\ 98\ .24\ }}&372{\underline {8}}\times {\underline {8}}=29824&\Rightarrow &a=8&\Rightarrow &x=186{\underline {8}}\ &20x+a\equiv 3736{\underline {a}}\\\qquad \ \ {\underline {\ }}\ 33\ .63\ 21&3736{\underline {a}}\times {\underline {a}}\leq 336321\\\qquad \ \quad {\underline {\ 33\ .63\ 21\ }}&3736{\underline {9}}\times {\underline {9}}=336321&\Rightarrow &a=9&\Rightarrow &x=1868{\underline {9}}\\\qquad \qquad \qquad \ \ 0\\\end{matrix}}$

• 68 es:Matriz de adjuntos

${\mbox{adj}}(\mathbf {A} )={\begin{pmatrix}+\left|{\begin{matrix}A_{22}&A_{23}\\A_{32}&A_{33}\end{matrix}}\right|&-\left|{\begin{matrix}A_{21}&A_{23}\\A_{31}&A_{33}\end{matrix}}\right|&+\left|{\begin{matrix}A_{21}&A_{22}\\A_{31}&A_{32}\end{matrix}}\right|\\&&\\-\left|{\begin{matrix}A_{12}&A_{13}\\A_{32}&A_{33}\end{matrix}}\right|&+\left|{\begin{matrix}A_{11}&A_{13}\\A_{31}&A_{33}\end{matrix}}\right|&-\left|{\begin{matrix}A_{11}&A_{12}\\A_{31}&A_{32}\end{matrix}}\right|\\&&\\+\left|{\begin{matrix}A_{12}&A_{13}\\A_{22}&A_{23}\end{matrix}}\right|&-\left|{\begin{matrix}A_{11}&A_{13}\\A_{21}&A_{23}\end{matrix}}\right|&+\left|{\begin{matrix}A_{11}&A_{12}\\A_{21}&A_{22}\end{matrix}}\right|\end{pmatrix}}^{T}$

• 65 rue:Гармоничный шор звуків

$\left\{{\begin{matrix}\vdots \\c^{2}[{\frac {2}{1}}]\\c^{1}[{\frac {1}{1}}]\end{matrix}}\right\}\subseteq \left\{{\begin{matrix}\vdots \\c^{2}[{\frac {2}{1}}]\\c^{1}[{\frac {1}{1}}]\end{matrix}}\right\},~\left\{{\begin{matrix}\vdots \\c^{2}[{\frac {4}{2}}]\\c^{1}[{\frac {2}{2}}]\end{matrix}}\right\}\subset \left\{{\begin{matrix}\vdots \\c^{2}[{\frac {4}{2}}]\\g^{1}[{\frac {3}{2}}]\\c^{1}[{\frac {2}{2}}]\\~~c[{\frac {1}{2}}]\end{matrix}}\right\},~\left\{{\begin{matrix}\vdots \\c^{2}[{\frac {6}{3}}]\\c^{1}[{\frac {3}{3}}]\end{matrix}}\right\}\subset \left\{{\begin{matrix}\vdots \\c^{2}[{\frac {6}{3}}]\\a^{1}[{\frac {5}{3}}]\\f^{1}[{\frac {4}{3}}]\\c^{1}[{\frac {3}{3}}]\\~~f[{\frac {2}{3}}]\\~F[{\frac {1}{3}}]\end{matrix}}\right\},\cdots ,~\left\{{\begin{matrix}\vdots \\c^{2}[{\frac {20}{10}}]\\c^{1}[{\frac {10}{10}}]\end{matrix}}\right\}\subset \left\{{\begin{matrix}\vdots \\~~~c^{1}[{\frac {20}{10}}]\\ces^{2}[{\frac {19}{10}}]\\bes^{1}[{\frac {18}{10}}]\\~~~a^{1}[{\frac {17}{10}}]\\~as^{1}[{\frac {16}{10}}]\\~~~g^{1}[{\frac {15}{10}}]\\ges^{1}[{\frac {14}{10}}]\\~~~f^{1}[{\frac {13}{10}}]\\~es^{1}[{\frac {12}{10}}]\\des^{1}[{\frac {11}{10}}]\\~~~c^{1}[{\frac {10}{10}}]\\~bes[{\frac {9}{10}}]\\~~as[{\frac {8}{10}}]\\~ges[{\frac {7}{10}}]\\~~es[{\frac {6}{10}}]\\~~~~c[{\frac {5}{10}}]\\~As[{\frac {4}{10}}]\\Es_{1}[{\frac {3}{10}}]\\As_{1}[{\frac {2}{10}}]\\As_{2}[{\frac {1}{10}}]\end{matrix}}\right\},\cdots$

• 65 en:Cauchy–Binet formula

${\begin{aligned}&1=1&(m=0)\\[10pt]&{\boldsymbol {a}}\cdot {\boldsymbol {x}}=a_{1}x_{1}+a_{2}x_{2}+a_{3}x_{3}&(m=1)\\[10pt]&{\begin{vmatrix}{\boldsymbol {a}}\cdot {\boldsymbol {x}}&{\boldsymbol {a}}\cdot {\boldsymbol {y}}\\{\boldsymbol {b}}\cdot {\boldsymbol {x}}&{\boldsymbol {b}}\cdot {\boldsymbol {y}}\end{vmatrix}}\\[4pt]={}&{\begin{vmatrix}a_{2}&a_{3}\\b_{2}&b_{3}\end{vmatrix}}{\begin{vmatrix}x_{2}&y_{2}\\x_{3}&y_{3}\end{vmatrix}}+{\begin{vmatrix}a_{3}&a_{1}\\b_{3}&b_{1}\end{vmatrix}}{\begin{vmatrix}x_{3}&y_{3}\\x_{1}&y_{1}\end{vmatrix}}+{\begin{vmatrix}a_{1}&a_{2}\\b_{1}&b_{2}\end{vmatrix}}{\begin{vmatrix}x_{1}&y_{1}\\x_{2}&y_{2}\end{vmatrix}}\\[4pt]={}&({\boldsymbol {a}}\times {\boldsymbol {b}})\cdot ({\boldsymbol {x}}\times {\boldsymbol {y}})&(m=2)\\[10pt]&{\begin{vmatrix}{\boldsymbol {a}}\cdot {\boldsymbol {x}}&{\boldsymbol {a}}\cdot {\boldsymbol {y}}&{\boldsymbol {a}}\cdot {\boldsymbol {z}}\\{\boldsymbol {b}}\cdot {\boldsymbol {x}}&{\boldsymbol {b}}\cdot {\boldsymbol {y}}&{\boldsymbol {b}}\cdot {\boldsymbol {z}}\\{\boldsymbol {c}}\cdot {\boldsymbol {x}}&{\boldsymbol {c}}\cdot {\boldsymbol {y}}&{\boldsymbol {c}}\cdot {\boldsymbol {z}}\end{vmatrix}}={\begin{vmatrix}a_{1}&a_{2}&a_{3}\\b_{1}&b_{2}&b_{3}\\c_{1}&c_{2}&c_{3}\end{vmatrix}}{\begin{vmatrix}x_{1}&y_{1}&z_{1}\\x_{2}&y_{2}&z_{2}\\x_{3}&y_{3}&z_{3}\end{vmatrix}}\\[4pt]={}&[{\boldsymbol {a}}\cdot ({\boldsymbol {b}}\times {\boldsymbol {c}})][{\boldsymbol {x}}\cdot ({\boldsymbol {y}}\times {\boldsymbol {z}})]&(m=3)\\[10pt]&{\begin{vmatrix}{\boldsymbol {a}}\cdot {\boldsymbol {x}}&{\boldsymbol {a}}\cdot {\boldsymbol {y}}&{\boldsymbol {a}}\cdot {\boldsymbol {z}}&{\boldsymbol {a}}\cdot {\boldsymbol {w}}\\{\boldsymbol {b}}\cdot {\boldsymbol {x}}&{\boldsymbol {b}}\cdot {\boldsymbol {y}}&{\boldsymbol {b}}\cdot {\boldsymbol {z}}&{\boldsymbol {b}}\cdot {\boldsymbol {w}}\\{\boldsymbol {c}}\cdot {\boldsymbol {x}}&{\boldsymbol {c}}\cdot {\boldsymbol {y}}&{\boldsymbol {c}}\cdot {\boldsymbol {z}}&{\boldsymbol {c}}\cdot {\boldsymbol {w}}\\{\boldsymbol {d}}\cdot {\boldsymbol {x}}&{\boldsymbol {d}}\cdot {\boldsymbol {y}}&{\boldsymbol {d}}\cdot {\boldsymbol {z}}&{\boldsymbol {d}}\cdot {\boldsymbol {w}}\end{vmatrix}}=0&(m=4)\end{aligned}}$

• 65 de:Baeza-Yates-Gonnet-Algorithmus

${\begin{vmatrix}i\setminus &R_{0}&\gg &s_{a}&R_{1}\\1&0&1&1&1\\2&0&0&0&0\\3&0&0&0&0\\4&0&0&1&0\\5&0&0&0&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{b}&R_{2}\\1&0&0\\1&1&1\\0&0&0\\0&0&0\\0&0&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{c}&R_{3}\\1&0&0\\0&0&0\\1&1&1\\0&0&0\\0&1&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{a}&R_{4}\\1&1&1\\0&0&0\\0&0&0\\1&1&1\\0&0&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{b}&R_{5}\\1&0&0\\1&1&1\\0&0&0\\0&0&0\\1&0&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{c}&R_{6}\\1&0&0\\0&0&0\\1&1&1\\0&0&0\\0&1&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{a}&R_{7}\\1&1&1\\0&0&0\\0&0&0\\1&1&1\\0&0&0\end{vmatrix}}{\begin{vmatrix}\gg &s_{c}&R_{8}\\1&0&0\\1&0&0\\0&1&0\\0&0&0\\1&1&1\end{vmatrix}}$

• 64 es:Fórmula de Cauchy–Binet
• 63 ja:コーシー・ビネの公式

${\begin{aligned}1&=1&(m=0)\\{\boldsymbol {a}}\cdot {\boldsymbol {x}}&=a_{1}x_{1}+a_{2}x_{2}+a_{3}x_{3}&(m=1)\\{\begin{vmatrix}{\boldsymbol {a}}\cdot {\boldsymbol {x}}&{\boldsymbol {a}}\cdot {\boldsymbol {y}}\\{\boldsymbol {b}}\cdot {\boldsymbol {x}}&{\boldsymbol {b}}\cdot {\boldsymbol {y}}\end{vmatrix}}&={\begin{vmatrix}a_{2}&a_{3}\\b_{2}&b_{3}\end{vmatrix}}{\begin{vmatrix}x_{2}&y_{2}\\x_{3}&y_{3}\end{vmatrix}}+{\begin{vmatrix}a_{3}&a_{1}\\b_{3}&b_{1}\end{vmatrix}}{\begin{vmatrix}x_{3}&y_{3}\\x_{1}&y_{1}\end{vmatrix}}+{\begin{vmatrix}a_{1}&a_{2}\\b_{1}&b_{2}\end{vmatrix}}{\begin{vmatrix}x_{1}&y_{1}\\x_{2}&y_{2}\end{vmatrix}}\\&=({\boldsymbol {a}}\times {\boldsymbol {b}})\cdot ({\boldsymbol {x}}\times {\boldsymbol {y}})&(m=2)\\{\begin{vmatrix}{\boldsymbol {a}}\cdot {\boldsymbol {x}}&{\boldsymbol {a}}\cdot {\boldsymbol {y}}&{\boldsymbol {a}}\cdot {\boldsymbol {z}}\\{\boldsymbol {b}}\cdot {\boldsymbol {x}}&{\boldsymbol {b}}\cdot {\boldsymbol {y}}&{\boldsymbol {b}}\cdot {\boldsymbol {z}}\\{\boldsymbol {c}}\cdot {\boldsymbol {x}}&{\boldsymbol {c}}\cdot {\boldsymbol {y}}&{\boldsymbol {c}}\cdot {\boldsymbol {z}}\end{vmatrix}}&={\begin{vmatrix}a_{1}&a_{2}&a_{3}\\b_{1}&b_{2}&b_{3}\\c_{1}&c_{2}&c_{3}\end{vmatrix}}{\begin{vmatrix}x_{1}&y_{1}&z_{1}\\x_{2}&y_{2}&z_{2}\\x_{3}&y_{3}&z_{3}\end{vmatrix}}\\&=[{\boldsymbol {a}}\cdot ({\boldsymbol {b}}\times {\boldsymbol {c}})][{\boldsymbol {x}}\cdot ({\boldsymbol {y}}\times {\boldsymbol {z}})]&(m=3)\\{\begin{vmatrix}{\boldsymbol {a}}\cdot {\boldsymbol {x}}&{\boldsymbol {a}}\cdot {\boldsymbol {y}}&{\boldsymbol {a}}\cdot {\boldsymbol {z}}&{\boldsymbol {a}}\cdot {\boldsymbol {w}}\\{\boldsymbol {b}}\cdot {\boldsymbol {x}}&{\boldsymbol {b}}\cdot {\boldsymbol {y}}&{\boldsymbol {b}}\cdot {\boldsymbol {z}}&{\boldsymbol {b}}\cdot {\boldsymbol {w}}\\{\boldsymbol {c}}\cdot {\boldsymbol {x}}&{\boldsymbol {c}}\cdot {\boldsymbol {y}}&{\boldsymbol {c}}\cdot {\boldsymbol {z}}&{\boldsymbol {c}}\cdot {\boldsymbol {w}}\\{\boldsymbol {d}}\cdot {\boldsymbol {x}}&{\boldsymbol {d}}\cdot {\boldsymbol {y}}&{\boldsymbol {d}}\cdot {\boldsymbol {z}}&{\boldsymbol {d}}\cdot {\boldsymbol {w}}\end{vmatrix}}&=0&(m=4)\end{aligned}}$

Most Used LaTeX commands

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• 823341 \, $A\,B$
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• 348212 \sqrt ${\sqrt {B}}$
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• 81801 \scriptstyle $\scriptstyle B$
• 80625 \boldsymbol ${\boldsymbol {B}}$
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• 14693 \Leftrightarrow $A\Leftrightarrow B$
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• 10143 \sinh $\sinh B$

< 10,000

• 9730 \vee $A\vee B$
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• 5558 \leftarrow $A\leftarrow B$
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• 5328 \hbox ${\hbox{B}}$
• 5317 \mod $A\mod B$
• 5264 \iint $\iint B$
• 5217 \Box $A\Box B$
• 5143 \bigl ${\bigl (}B{\bigr )}$
• 5085 \bigr
• 4889 \notin $A\notin B$
• 4876 \arcsin $\arcsin B$
• 4842 \hline ${\begin{array}{c}A\\\hline B\end{array}}$
• 4734 \propto $A\propto B$
• 4665 \arccos $\arccos B$
• 4608 \supset $A\supset B$
• 4556 \odot $A\odot B$
• 4369 \acute ${\acute {B}}$
• 4352 \implies $A\implies B$
• 4197 \csc $\csc B$
• 4128 \mathop $\mathop {B}$
• 4121 \dotsc $A\dotsc B$
• 4117 \tanh $\tanh B$
• 4084 \ll $A\ll B$
• 4080 \iota $\iota$
• 4079 \dim $A\dim B$
• 4018 \lbrack $A\lbrack B$
• 3976 \rbrack $A\rbrack B$
• 3811 \bigcap $A\bigcap B$
• 3801 \inf $A\inf B$
• 3749 \rceil $A\rceil B$
• 3720 \textit ${\textit {B}}$
• 3649 \Q $\mathbb {Q}$
• 3477 \bot $A\bot B$
• 3473 \atop $A \atop B$
• 3402 \varkappa $\varkappa$
• 3322 \parallel $A\parallel B$
• 3309 \div $A\div B$
• 3259 \lceil $A\lceil B$
• 3259 \Bbb $A{\mathbb {B}}$
• 3203 \Bigl ${\Bigl (}B{\Bigr )}$
• 3137 \backslash $\backslash$
• 3096 \# $A\#B$
• 3039 \Bigr
• 3022 \Re $\Re B$
• 2988 \mp $A\mp B$
• 2948 \% $A\%B$
• 2916 \infin $A\infty B$
• 2851 \exist $\exists$
• 2808 \ker $A\ker B$
• 2752 \cancel ${\cancel {B}}$
• 2738 \sgn $\operatorname {sgn} B$
• 2731 \upsilon $\upsilon$
• 2725 \overbrace $A\overbrace {B}$
• 2723 \models $A\models B$
• 2665 \arg $A\arg B$
• 2646 \iiint $A\iiint B$
• 2592 \tbinom ${\tbinom {B}{C}}$
• 2546 \therefore $A\therefore B$
• 2452 \dotsb $A\dotsb B$
• 2447 \gg $A\gg B$
• 2388 \widetilde $A{\widetilde {B}}$
• 2281 \biggl ${\biggl (}B{\biggr )}$
• 2265 \deg $A\deg B$
• 2263 \lg $A\lg B$
• 2234 \square $A\square B$
• 2204 \Longrightarrow $A\Longrightarrow B$
• 2163 \rarr $A\rightarrow B$
• 2153 \biggr
• 2016 \flat $A\flat B$
• 2012 \Beta $\mathrm {B}$
• 2010 \cal ${\cal {B}}$
• 2006 \limsup $A\limsup B$
• 1933 \lVert $A\lVert B$
• 1893 \bigoplus $A\bigoplus B$
• 1855 \Longleftrightarrow $A\Longleftrightarrow B$
• 1841 \backprime $A\backprime B$
• 1834 \rVert $A\rVert B$
• 1828 \Alpha $\mathrm {A}$
• 1706 \sen $A\operatorname {sen} B$
• 1702 \bf ${\bf {B}}$
• 1672 \Xi $\Xi$
• 1654 \lang $A\langle B$
• 1584 \rightleftarrows $A\rightleftarrows B$
• 1567 \gcd $A\gcd B$
• 1551 \Downarrow $A\Downarrow B$
• 1530 \bigwedge $A\bigwedge B$
• 1527 \hookrightarrow $A\hookrightarrow B$
• 1522 \centerdot $A\centerdot B$
• 1500 \wp $A\wp B$
• 1496 \sharp $A\sharp B$
• 1495 \supseteq $A\supseteq B$
• 1479 \succ $A\succ B$
• 1442 \imath $A\imath B$
• 1438 \ominus $A\ominus B$
• 1420 \liminf $A\liminf B$
• 1408 \isin $A\in B$
• 1393 \Diamond $A\Diamond B$
• 1367 \_ $A\_B$
• 1354 \empty $A\emptyset B$
• 1326 \searrow $A\searrow B$
• 1326 \Im $A\Im B$
• 1293 \subsetneq $A\subsetneq B$
• 1272 \coth $A\coth B$
• 1255 \nearrow $A\nearrow B$
• 1217 \blacksquare $A\blacksquare B$
• 1206 \gets $A\gets B$
• 1204 \bigodot $A\bigodot B$
• 1191 \varsigma $\varsigma$
• 1165 \arccot $\operatorname {arccot} B$
• 1160 \ni $A\ni B$
• 1148 \Leftarrow $A\Leftarrow B$
• 1138 \longmapsto $A\longmapsto B$
• 1126 \it ${\it {B}}$
• 1080 \longleftarrow $A\longleftarrow B$
• 1080 \lesssim $A\lesssim B$
• 1074 \nolimits $\operatorname {A} \nolimits B$
• 1053 \triangleleft $A\triangleleft B$
• 1046 \leqq $A\leqq B$
• 1032 \check ${\check {B}}$
• 1030 \arcsec $\operatorname {arcsec} B$
• 1023 \prec $A\prec B$
• 1003 \varpi $\varpi$

< 1000

• 999 \prec $A\prec B$
• 976 \backprime $A^{\backprime }$
• 964 \beth $\beth$
• 954 \Upsilon $\Upsilon$
• 945 \varpi $\varpi$
• 943 \Tau $\mathrm {T}$
• 923 \vDash $A\vDash B$
• 922 \sqcup $A\sqcup B$
• 916 \Eta $\mathrm {H}$
• 907 \sdot $A\cdot B$
• 898 \vartriangle $A\vartriangle B$
• 877 \preceq $A\preceq B$
• 875 \diagup $A\diagup B$
• 873 \Chi $\mathrm {X}$
• 857 \triangledown $A\triangledown B$
• 853 \mathtt ${\mathtt {B}}$
• 820 \ddagger $\ddagger$
• 810 \bigvee $\bigvee$
• 794 \scriptscriptstyle $A\scriptscriptstyle B$
• 793 \Epsilon $\mathrm {E}$
• 784 \Vdash $A\Vdash B$
• 771 \doteq $A\doteq B$
• 770 \bigtriangleup $A\bigtriangleup B$
• 760 \surd $A\surd B$
• 746 \geqq $A\geqq B$
• 744 \boxplus $A\boxplus B$
• 737 \sqsubseteq $A\sqsubseteq B$
• 737 \$ $A\$B$
• 735 \sub $A\subset B$
• 730 \arccsc $\operatorname {arccsc} B$
• 725 \longleftarrow $A\longleftarrow B$
• 722 \triangleright $A\triangleright B$
• 706 \twoheadrightarrow $A\twoheadrightarrow B$
• 704 \And $\And$
• 702 \pagecolor ${\pagecolor {Cyan}B}$
• 692 \rtimes $A\rtimes B$
• 675 \complement $\complement$
• 674 \clubsuit $\clubsuit$
• 673 \Kappa $\mathrm {K}$
• 654 \nmid $A\nmid B$
• 643 \textsf ${\textsf {B}}$
• 641 \triangleq $A\triangleq B$
• 634 \Iota $\mathrm {I}$
• 630 \coprod $A\coprod B$
• 624 \Biggl ${\Biggl \|}$
• 618 \diamond $\diamond$
• 602 \smile $\smile$
• 601 \biguplus $A\biguplus B$
• 594 \H $\mathbb {H}$
• 590 \& $A\&B$
• 587 \grave ${\grave {B}}$
• 570 \Zeta $\mathrm {Z}$
• 565 \breve $A{\breve {B}}$
• 559 \hom $A\hom B$
• 555 \jmath $A\jmath B$
• 547 \thicksim $A\thicksim B$
• 547 \Biggr ${\Biggr \|}$
• 545 \Mu $\mathrm {M}$
• 544 \frown $\frown$
• 539 \Uparrow $A\Uparrow B$
• 539 \Rho $\mathrm {P}$
• 535 \mathord $A{\mathord {B}}$
• 533 \measuredangle $A\measuredangle B$
• 530 \swarrow $A\swarrow B$
• 528 \longleftrightarrow $A\longleftrightarrow B$
• 527 \rightsquigarrow $A\rightsquigarrow B$
• 525 \succeq $A\succeq B$
• 520 \dotsm $A\dotsm B$
• 518 \cancelto $A{\cancelto {B}{C}}$
• 516 \sphericalangle $A\sphericalangle B$
• 507 \bigcirc $A\bigcirc B$
• 490 \grp unknown function
• 489 \spadesuit $\spadesuit$
• 487 \lll $A\lll B$
• 485 \bigstar $A\bigstar B$
• 482 \heartsuit $A\heartsuit B$
• 470 \smallsetminus $A\smallsetminus B$
• 441 \updownarrow $A\updownarrow B$
• 437 \bigotimes $A\bigotimes B$
• 428 \Nu $\mathrm {N}$
• 422 \diamondsuit $\diamondsuit$
• 417 \mathrel $A{\mathrel {B}}C$
• 413 \nwarrow $A\nwarrow B$
• 407 \leftrightarrows $A\leftrightarrows B$
• 402 \leftrightharpoons $A\leftrightharpoons B$
• 397 \overleftarrow $A{\overleftarrow {B}}$
• 396 \uplus $A\uplus B$
• 392 \gtrsim $A\gtrsim B$
• 388 \circledast $A\circledast B$
• 386 \natural $\natural$
• 380 \preccurlyeq $A\preccurlyeq B$
• 373 \Omicron $\mathrm {O}$
• 372 \boxdot $A\boxdot B$
• 370 \bigsqcup $A\bigsqcup B$
• 369 \because $A\because B$
• 367 \dotso $A\dotso B$
• 362 \Updownarrow $A\Updownarrow B$
• 361 \succsim $A\succsim B$
• 350 \sqcap $A\sqcap B$
• 349 \wr $A\wr B$
• 348 \plusmn $A\pm B$
• 344 \euro $A\mathrm {\euro} B$
• 337 \bigtriangledown $A\bigtriangledown B$
• 334 \succcurlyeq $A\succcurlyeq B$
• 334 \�
• 331 \xleftarrow $A{\xleftarrow {B}}$
• 324 \dashv $A\dashv B$
• 324 \AA $A\mathrm {\AA} B$
• 320 \omicron $\mathrm {o}$
• 317 \ar unknown function
• 313 \nexists $A\nexists B$
• 313 \digamma $A\digamma B$
• 305 \trianglelefteq $A\trianglelefteq B$
• 304 \upharpoonright $A\upharpoonright B$
• 303 \dbinom ${\dbinom {B}{C}}$
• 295 \rightharpoonup $A\rightharpoonup B$
• 294 \urcorner $A\urcorner B$
• 291 \vartriangleleft $A\vartriangleleft B$
• 287 \boxtimes $A\boxtimes B$
• 284 \diagdown $A\diagdown B$
• 278 \ulcorner $A\ulcorner B$
• 278 \mho $\mho$
• 277 \ltimes $A\ltimes B$
• 277 \definecolor $\definecolor {myorange}{rgb}{1,0.65,0.4}\color {myorange}orange$
• 267 \rightrightarrows $A\rightrightarrows B$
• 265 \Rrightarrow $A\Rrightarrow B$
• 263 \mathbin $A{\mathbin {B}}$
• 263 \ggg $A\ggg B$
• 257 \varinjlim $A\varinjlim B$
• 256 \blacktriangleright $A\blacktriangleright B$
• 253 \veebar $A\veebar B$
• 245 \hslash $\hslash$
• 244 \oslash $\oslash$
• 243 \varpropto $A\varpropto B$
• 243 \varprojlim $A\varprojlim B$
• 241 \S $\S$
• 237 \thickapprox $A\thickapprox B$
• 231 \sideset $\sideset {_{1}^{2}}{_{3}^{4}}\prod$
• 231 \Game $A\Game B$
• 230 \vline $A\vline B$
• 230 \intercal $\intercal$
• 229 \sube $A\subseteq B$
• 229 \gimel $\gimel$
• 227 \nrightarrow $A\nrightarrow B$
• 227 \lrcorner $A\lrcorner B$
• 225 \mathopen $A{\mathopen {B}}$
• 224 \Longleftarrow $A\Longleftarrow B$
• 222 \nsubseteq $A\nsubseteq B$
• 221 \sqsubset $A\sqsubset B$
• 221 \multimap $A\multimap B$
• 217 \iiiint $\iiiint B$
• 216 \precsim $A\precsim B$
• 212 \bowtie $A\bowtie B$
• 211 \nleftarrow $A\nleftarrow B$
• 209 \lessdot $A\lessdot B$
• 206 \gtrdot $A\gtrdot B$
• 206 \fallingdotseq $A\fallingdotseq B$
• 204 \pitchfork $A\pitchfork B$

• 147 \/
• 110 \"
• 92 \[
• 88 \:
• 57 \]
• 57 \.
• 41 \<
• 25 \1
• 22 \>
• 20 \?
• 16 \=
• 15 \(
• 13 \3
• 13 \)
• 13 \'
• 11 \-
• 10 \2
• 9 \0
• 9 \*
• 8 \^
• 6 \5
• 6 \~
• 2 \9
• 2 \`
• 1 \6
• 1 \+

100 - 199

• 199 \circledcirc $A\circledcirc B$
• 198 \blacktriangle $A\blacktriangle B$
• 197 \ang $A\angle B$
• 194 \curlywedge $A\curlywedge B$
• 194 \blacktriangledown $A\blacktriangledown B$
• 187 \backsim $A\backsim B$
• 184 \eth $\eth$
• 182 \checkmark $A\checkmark B$
• 178 \real $\Re$
• 176 \rightarrowtail $A\rightarrowtail B$
• 176 \lessapprox $A\lessapprox B$
• 176 \approxeq $A\approxeq B$
• 175 \daleth $A\daleth B$
• 175 \curvearrowright $A\curvearrowright B$
• 174 \rightharpoondown $A\rightharpoondown B$
• 174 \reals $\mathbb {R}$
• 173 \nparallel $A\nparallel B$
• 171 \vartriangleright $A\vartriangleright B$
• 171 \nleftrightarrow $A\nleftrightarrow B$
• 169 \varlimsup $A\varlimsup B$
• 167 \circlearrowleft $A\circlearrowleft B$
• 167 \alef $\aleph$
• 166 \circlearrowright $A\circlearrowright B$
• 165 \overleftrightarrow $A{\overleftrightarrow {B}}$
• 165 \hookleftarrow $A\hookleftarrow B$
• 164 \boxminus $A\boxminus B$
• 162 \supsetneq $A\supsetneq B$
• 161 \subsetneqq $A\subsetneqq B$
• 159 \nRightarrow $A\nRightarrow B$
• 158 \asymp $A\asymp B$
• 156 \eqslantless $A\eqslantless B$
• 154 \varsubsetneq $A\varsubsetneq B$
• 154 \mathclose $A{\mathclose {B}}$
• 154 \gtrless $A\gtrless B$
• 151 \lessgtr $A\lessgtr B$
• 151 \Bbbk $A\Bbbk B$
• 150 \dotplus $A\dotplus B$
• 148 \nvDash $A\nvDash B$
• 148 \curlyvee $A\curlyvee B$
• 147 \P $A\P B$
• 146 \llcorner $A\llcorner B$
• 145 \amalg $A\amalg B$
• 144 \bcancel $A{\bcancel {B}}$
• 139 \Dagger $A\ddagger B$
• 138 \upharpoonleft $A\upharpoonleft B$
• 138 \leftharpoondown $A\leftharpoondown B$
• 137 \backepsilon $A\backepsilon B$
• 136 \sqsupseteq $A\sqsupseteq B$
• 136 \doteqdot $A\doteqdot B$
• 135 \curvearrowleft $A\curvearrowleft B$
• 134 \sqsupset $A\sqsupset B$
• 133 \shortparallel $A\shortparallel B$
• 132 \downharpoonright $A\downharpoonright B$
• 131 \nvdash $A\nvdash B$
• 131 \nLeftrightarrow $A\nLeftrightarrow B$
• 129 \leftharpoonup $A\leftharpoonup B$
• 128 \gtrapprox $A\gtrapprox B$
• 128 \downharpoonleft $A\downharpoonleft B$
• 126 \backsimeq $A\backsimeq B$
• 125 \xcancel $A{\xcancel {B}}$
• 125 \leftrightsquigarrow $A\leftrightsquigarrow B$
• 124 \smallsmile $A\smallsmile B$
• 121 \nsim $A\nsim B$
• 121 \blacklozenge $A\blacklozenge B$
• 120 \risingdotseq $A\risingdotseq B$
• 120 \Finv $A\Finv B$
• 119 \upuparrows $A\upuparrows B$
• 119 \Subset $A\Subset B$
• 119 \O $A\emptyset B$
• 118 \nLeftarrow $A\nLeftarrow B$
• 118 \blacktriangleleft $A\blacktriangleleft B$
• 117 \Lsh $A\Lsh B$
• 117 \doublebarwedge $A\doublebarwedge B$
• 116 \subseteqq $A\subseteqq B$
• 116 \lesseqqgtr $A\lesseqqgtr B$
• 115 \lozenge $A\lozenge B$
• 115 \gtreqqless $A\gtreqqless B$
• 115 \Cup $A\Cup B$
• 115 \barwedge $A\barwedge B$
• 113 \shortmid $A\shortmid B$
• 112 \eqno unknown function
• 111 \Rarr $A\Rightarrow B$
• 111 \bull $A\bullet B$
• 110 \restriction $A\upharpoonright B$
• 110 \ngtr $A\ngtr B$
• 109 \nolimits $\operatorname {A} \nolimits B$
• 109 \divideontimes $A\divideontimes B$
• 108 \nVdash $A\nVdash B$
• 108 \lneq $A\lneq B$
• 108 \eqslantgtr $A\eqslantgtr B$
• 107 \varsupsetneq $A\varsupsetneq B$
• 107 \nsupseteq $A\nsupseteq B$
• 107 \npreceq $A\npreceq B$
• 107 \ncong $A\ncong B$
• 107 \leftleftarrows $A\leftleftarrows B$
• 107 \gtreqless $A\gtreqless B$
• 106 \emph Undefined control sequence
• 105 \nleqslant $A\nleqslant B$
• 105 \lneqq $A\lneqq B$
• 105 \gneq $A\gneq B$
• 105 \circledS $\circledS$
• 104 \varsubsetneqq $A\varsubsetneqq B$
• 104 \ngeqslant $A\ngeqslant B$
• 104 \looparrowright $A\looparrowright B$
• 103 \varliminf $A\varliminf B$
• 103 \downdownarrows $A\downdownarrows B$
• 102 \Lleftarrow $A\Lleftarrow B$
• 102 \curlyeqprec $A\curlyeqprec B$
• 101 \supsetneqq $A\supsetneqq B$
• 101 \succapprox $A\succapprox B$
• 101 \precapprox $A\precapprox B$
• 101 \nsucceq $A\nsucceq B$
• 101 \lesseqgtr $A\lesseqgtr B$
• 101 \gneqq $A\gneqq B$
• 101 \curlyeqsucc $A\curlyeqsucc B$
• 101 \circleddash $A\circleddash B$
• 101 \Cap $A\Cap B$
• 100 \succnsim $A\succnsim B$
• 100 \precnsim $A\precnsim B$
• 100 \nprec $A\nprec B$
• 100 \leftarrowtail $A\leftarrowtail B$
• 100 \gvertneqq $A\gvertneqq B$
• 100 \bumpeq $A\bumpeq B$
• 100 \between $A\between B$

10 - 99

• 99 \varsupsetneqq $A\varsupsetneqq B$
• 99 \ntriangleleft $A\ntriangleleft B$
• 99 \nsucc $A\nsucc B$
• 99 \nsubseteqq $A\nsubseteqq B$
• 99 \nleqq $A\nleqq B$
• 99 \lvertneqq $A\lvertneqq B$
• 99 \lnapprox $A\lnapprox B$
• 98 \Supset $A\Supset B$
• 98 \succnapprox $A\succnapprox B$
• 98 \Rsh $A\Rsh B$
• 98 \precnapprox $A\precnapprox B$
• 98 \ngeqq $A\ngeqq B$
• 98 \looparrowleft $A\looparrowleft B$
• 98 \lnsim $A\lnsim B$
• 98 \gnapprox $A\gnapprox B$
• 98 \eqcirc $A\eqcirc B$
• 97 \Vvdash $A\Vvdash B$
• 97 \rightthreetimes $A\rightthreetimes B$
• 97 \nshortmid $A\nshortmid B$
• 97 \eqsim $A\eqsim B$
• 96 \nVDash $A\nVDash B$
• 96 \ntrianglerighteq $A\ntrianglerighteq B$
• 96 \gnsim $A\gnsim B$
• 96 \Bumpeq $A\Bumpeq B$
• 95 \supseteqq $A\supseteqq B$
• 95 \precneqq $A\precneqq B$
• 95 \ntrianglelefteq $A\ntrianglelefteq B$
• 95 \leftthreetimes $A\leftthreetimes B$
• 94 \succneqq $A\succneqq B$
• 94 \ntriangleright $A\ntriangleright B$
• 94 \nsupseteqq $A\nsupseteqq B$
• 94 \nshortparallel $A\nshortparallel B$
• 94 \circeq $A\circeq B$
• 76 \dotsi $A\dotsi B$
• 74 \harr $A\leftrightarrow B$
• 69 \rArr $A\Rightarrow B$
• 65 \Stigma $A\mathrm {\Stigma} B$
• 65 \Sampi $A\mathrm {\Sampi} B$
• 65 \Coppa $A\mathrm {\Coppa} B$
• 63 \nleq $A\nleq B$
• 63 \Koppa $A\mathrm {\Koppa} B$
• 59 \oiint $A\oiint B$
• 56 \varcoppa $A\mbox{\coppa} B$
• 55 \varstigma $A\mathrm {\varstigma} B$
• 55 \twoheadleftarrow $A\twoheadleftarrow B$
• 53 \nless $A\nless B$
• 50 \Complex $A\mathbb {C} B$
• 49 \lrarr $A\leftrightarrow B$
• 45 \trianglerighteq $A\trianglerighteq B$
• 44 \larr $A\leftarrow B$
• 43 \darr $A\downarrow B$
• 42 \textvisiblespace $A\mathrm {\textvisiblespace} B$
• 36 \stigma $A\mathrm {\stigma} B$
• 31 \smallfrown $A\smallfrown B$
• 26 \ngeq $A\ngeq B$
• 26 \Digamma $A\mathrm {\Digamma} B$
• 25 \hArr $A\Leftrightarrow B$
• 23 \image $A\Im B$
• 21 \uarr $A\uparrow B$
• 20 \koppa $A\mathrm {\koppa} B$
• 19 \mathpunct $A{\mathpunct {B}}$
• 17 \sampi $A\mathrm {\sampi} B$
• 15 \supe $A\supseteq B$
• 15 \Larr $A\Leftarrow B$
• 15 \coppa $A\mathrm {\coppa} B$
• 14 \oiiint $A\oiiint B$
• 14 \Harr $A\Leftrightarrow B$
• 12 \gggtr $A\ggg B$
• 11 \weierp $A\wp B$
• 11 \thetasym $A\vartheta B$
• 11 \doublecup $A\Cup B$
• 11 \doublecap $A\Cap B$
• 10 \projlim $A\projlim B$
• 10 \Doteq $A\doteqdot B$

Unknown function

• 59 \vep
• 39 \bR
• 38 \be
• 35 \label
• 35 \del
• 31 \textup
• 30 \bC
• 28 \phii
• 27 \circle
• 26 \middle
• 24 \rule
• 24 \put
• 24 \cL
• 23 \bibitem
• 22 \cite
• 21 \quadr
• 21 \phantom
• 21 \fbox
• 20 \tag
• 20 \buildrel
• 18 \unitlength
• 18 \textsl
• 17 \TeX
• 17 \set
• 16 \cline
• 16 \chigre
• 15 \wti
• 15 \comen
• 14 \vardelta
• 14 \subsection
• 14 \lt
• 13 \final
• 12 \xybox
• 12 \xlongrightarrow
• 12 \setlength
• 12 \newpage
• 12 \multicolumn
• 12 \Db
• 12 \ag
• 11 \fra
• 11 \Cl
• 10 \w
• 10 \vv
• 10 \leadsto
• 10 \from
• 10 \enskip
• 10 \dddot
• 10 \bzdrh

2 - 9

• 8 \officialeuro $A\mathrm {\officialeuro} B$
• 8 \injlim $A\injlim B$
• 7 \geneuronarrow $A\mathrm {\geneuronarrow} B$
• 7 \alefsym $\aleph$
• 6 \geneurowide $\mathrm {\geneurowide}$
• 6 \geneuro $\mathrm {\geneuro}$
• 7 \Reals $\mathbb {R}$
• 7 \hearts $\heartsuit$
• 5 \diamonds $\diamondsuit$
• 4 \spades $\spadesuit$
• 4 \clubs $\clubsuit$
• 2 \ointctrclockwise $A\ointctrclockwise B$
• 3 \varointclockwise $A\varointclockwise B$

All others fail

• 9 \tt ,
• 9 \setf ,
• 9 \ryl ,
• 9 \pmb ,
• 9 \Ob ,
• 9 \near ,
• 9 \h ,
• 9 \f ,
• 9 \def ,
• 9 \chemical ,
• 9 \buyer ,
• 8 \section ,
• 8 \Rset ,
• 8 \parcial ,
• 8 \lefteqn ,
• 8 \ldotp ,
• 8 \ket ,
• 8 \hphantom ,
• 8 \gt ,
• 8 \g ,
• 8 \borel ,
• 7 \vcenter ,
• 7 \U ,
• 7 \sijoitus ,
• 7 \Mb ,
• 7 \LaTeX ,
• 7 \hfill ,
• 7 \cU ,
• 6 \valor ,
• 6 \triple ,
• 6 \textasciimacron ,
• 6 \subsubsection ,
• 6 \permil ,
• 6 \par ,
• 6 \obg ,
• 6 \maya ,
• 6 \mathc ,
• 6 \math ,
• 6 \m ,
• 6 \ensin ,
• 6 \COS ,
• 6 \cfra ,
• 6 \caption ,
• 6 \bzdrv ,
• 5 \vp ,
• 5 \unknownname ,
• 5 \Un ,
• 5 \prueba ,
• 5 \PD ,
• 5 \ober ,
• 5 \nab ,
• 5 \large ,
• 5 \kern ,
• 5 \Kb ,
• 5 \K ,
• 5 \hspace ,
• 5 \fraction ,
• 5 \Ef ,
• 5 \correcte ,
• 5 \anfty ,
• 4 \xlog ,
• 4 \usepackage ,
• 4 \upgamma ,
• 4 \Textbf ,
• 4 \substack ,
• 4 \setin ,
• 4 \scriptsize ,
• 4 \ref ,
• 4 \Paris ,
• 4 \ov ,
• 4 \operator ,
• 4 \o ,
• 4 \nT ,
• 4 \nNum ,
• 4 \nISBN ,
• 4 \nEditora ,
• 4 \nAutor ,
• 4 \M ,
• 4 \limdir ,
• 4 \LARGE ,
• 4 \Ha ,
• 4 \greek ,
• 4 \fr ,
• 4 \fly ,
• 4 \dto ,
• 4 \deixat ,
• 4 \co ,
• 4 \cdotd ,
• 4 \bgcolor ,
• 4 \B ,
• 3 \xrightleftharpoons ,
• 3 \wref ,
• 3 \widering ,
• 3 \wideparen ,
• 3 \underrightarrow ,
• 3 \sun ,
• 3 \sumI ,
• 3 \stopchemical ,
• 3 \startchemical ,
• 3 \spirituslenis ,
• 3 \space ,
• 3 \SL ,
• 3 \setcounter ,
• 3 \sech ,
• 3 \rto ,
• 3 \pdiff ,
• 3 \pcoef ,
• 3 \overrigntarrow ,
• 3 \overarc ,
• 3 \nonumber ,
• 3 \naphdrh ,
• 3 \Montreal ,
• 3 \mathring ,
• 3 \lyl ,
• 3 \link ,
• 3 \lin ,
• 3 \Lb ,
• 3 \Large ,
• 3 \j ,
• 3 \inter ,
• 3 \infinity ,
• 3 \im ,
• 3 \idotsint ,
• 3 \i ,
• 3 \Huge ,
• 3 \Hom ,
• 3 \formel ,
• 3 \fD ,
• 3 \etc ,
• 3 \Esp ,
• 3 \displayed ,
• 3 \dag ,
• 3 \csch ,
• 3 \cr ,
• 3 \cotg ,
• 3 \cosec ,
• 3 \conv ,
• 3 \cdotp ,
• 3 \bra ,
• 3 \bF ,
• 3 \Bell ,
• 3 \barphi ,
• 3 \atan ,
• 3 \al ,
• 2 \y ,
• 2 \xt ,
• 2 \xrightharpoonup ,
• 2 \xrightharpoondown ,
• 2 \xleftrightharpoons ,
• 2 \xleftharpoonup ,
• 2 \xleftharpoondown ,
• 2 \X ,
• 2 \widetriangle ,
• 2 \widecheck ,
• 2 \widebar ,
• 2 \widearrow ,
• 2 \vet ,
• 2 \verb ,
• 2 \V ,
• 2 \utilde ,
• 2 \ushortw ,
• 2 \ushortdw ,
• 2 \ushort ,
• 2 \uprho ,
• 2 \upmu ,
• 2 \upalpha ,
• 2 \unrhd ,
• 2 \unlhd ,
• 2 \unichar ,
• 2 \underleftrightarrow ,
• 2 \underleftarrow ,
• 2 \undergroup ,
• 2 \underbracket ,
• 2 \textwon ,
• 2 \textnaira ,
• 2 \textlira ,
• 2 \texteuro ,
• 2 \textdong ,
• 2 \textbackslash ,
• 2 \textasciicircum ,
• 2 \te ,
• 2 \suma ,
• 2 \strokedint ,
• 2 \sp ,
• 2 \sout ,
• 2 \Sn ,
• 2 \smallint ,
• 2 \sigmaeA ,
• 2 \rrbracket ,
• 2 \rO ,
• 2 \rn ,
• 2 \ri ,
• 2 \rhd ,
• 2 \require ,
• 2 \Relbar ,
• 2 \relbar ,
• 2 \ra ,
• 2 \queq ,
• 2 \punts ,
• 2 \pir ,
• 2 \pecat ,
• 2 \partialvartrcirclerightint ,
• 2 \partialvartrcircleleftint ,
• 2 \partialvartlcirclerightint ,
• 2 \partialvartlcircleleftint ,
• 2 \partialvardrcirclerightint ,
• 2 \partialvardrcircleleftint ,
• 2 \partialvardlcirclerightint ,
• 2 \partialvardlcircleleftint ,
• 2 \p ,
• 2 \ovsetl ,
• 2 \overgroup ,
• 2 \overbracket ,
• 2 \orc ,
• 2 \OMega ,
• 2 \ob ,
• 2 \normalcolor ,
• 2 \nonsubset ,
• 2 \naturals ,
• 2 \natnums ,
• 2 \meq ,
• 2 \mathe ,
• 2 \mapstochar ,
• 2 \Map ,
• 2 \Lra ,
• 2 \llbracket ,
• 2 \Lille ,
• 2 \lhd ,
• 2 \leftguillemets ,
• 2 \Ld ,
• 2 \Laplace ,
• 2 \laplace ,
• 2 \lange ,
• 2 \Join ,
• 2 \inv ,
• 2 \input ,
• 2 \IM ,
• 2 \Homework ,
• 2 \hole ,
• 2 \gset ,
• 2 \grdot ,
• 2 \frak ,
• 2 \for ,
• 2 \footnote ,
• 2 \foo ,
• 2 \fint ,
• 2 \fatsemi ,
• 2 \en ,
• 2 \eiquipas ,
• 2 \effb ,
• 2 \double ,
• 2 \dl ,
• 2 \dft ,
• 2 \dashrightarrow ,
• 2 \cls ,
• 2 \cdotn ,
• 2 \boxed ,
• 2 \bE ,
• 2 \Bar ,
• 2 \baliseTEX ,
• 2 \atl ,
• 2 \alt ,
• 2 \Abgp ,
• 2 \aa ,

1

• 1 \Lrarr ${\displaystyle A\Leftrightarrow B}$ translated to \Leftrightarrow
• 1 \lrArr ${\displaystyle A\Leftrightarrow B}$ \Leftrightarrow
• 1 \lArr ${\displaystyle A\Leftarrow B}$ \Leftarrow
• 1 \Darr ${\displaystyle A\Downarrow B}$ \Downarrow
• 1 \dArr ${\displaystyle A\Downarrow B}$ \Downarrow
• 1 \Uarr ${\displaystyle A\Uparrow B}$ \Uparrow
• 1 \uArr ${\displaystyle A\Uparrow B}$ \Uparrow
• 1 \cnums ${\displaystyle \mathbb {C} }$ \mathbb {C}
• 1 \sect ${\displaystyle \S }$ \S

Other give syntax errors \addcontentsline \adots \alad \alas \alatpha \alfa \allset \alphaup \amp \angstrom \angud \angus \antilabe \any \apprge \apprle \approxcolon \approxcoloncolon \arcosh \arcoth \arcsch \arcsen \arrownot \arrowvert \arsech \arsinh \artanh \atomic \author \autoleftarrow \autoleftrightharpoons \autorightarrow \autorightleftharpoons \backapprox \backapproxeq \backcong \backeqsim \backneg \backslashdiv \backtriplesim \barin \barleftharpoon \baro \barrightharpoon \bbslash \betaup \bigbox \bigboxasterisk \bigboxbackslash \bigboxbot \bigboxcirc \bigboxcoasterisk \bigboxdiv \bigboxdot \bigboxleft \bigboxminus \bigboxplus \bigboxright \bigboxslash \bigboxtimes \bigboxtop \bigboxtriangleup \bigboxvoid \bigcapdot \bigcapplus \bigcircle \bigcomplementop \bigcupdot \bigcupplus \bigcurlyvee \bigcurlyveedot \bigcurlywedge \bigcurlywedgedot \bigdoublecurlyvee \bigdoublecurlywedge \bigdoublevee \bigdoublewedge \bigint \biginterleave \bignplus \bigoast \bigoasterisk \bigobackslash \bigobot \bigocirc \bigocoasterisk \bigodiv \bigoleft \bigominus \bigoright \bigoslash \bigostar \bigotop \bigotriangle \bigotriangleup \bigovert \bigovoid \bigparallel \bigparr \bigplus \bigsqcap \bigsqcapdot \bigsqcapplus \bigsqcupdot \bigsqcupplus \bigsquplus \bigtimes \bigvarstar \bigveedot \bigwedgedot \bigwee \bigwith \binampersand \bindnasrepma \blackdiamond \blacktriangleup \blitza \blitzb \blitzc \blitzd \blitze \block \botdoteq \box \boxast \boxasterisk \boxbackslash \boxbar \boxbot \boxbox \boxbslash \boxcirc \boxcircle \boxcoasterisk \boxdiv \boxdotleft \boxdotLeft \boxdotright \boxdotRight \boxempty \boxleft \boxLeft \boxright \boxRight \boxslash \boxtop \boxtriangleup \boxvert \boxvoid \bracevert \bran \bumpedeq \bZ \capdot \capplus \cdotP \cdotZ \chemarrow \chiup \circledbar \circledbslash \circleddotleft \circleddotright \circledgtr \circledless \circledR \circledvee \circledwedge \circleleft \circleright \circplus \cj \closedcurlyvee \closedcurlywedge \closedequal \closedprec \closedsucc \cnums \coasterisk \coAsterisk \coh \colonapprox \coloncolon \coloncolonapprox \coloncolonequals \coloncolonminus \coloncolonsim \coloneq \coloneqq \colonequals \colonminus \colonsim \colour \con \conjunctive \const \convolution \corresponds \cotan \cronometra \crux \cshuffle \cupdot \cupplus \curlyveedot \curlyveedownarrow \curlyveeuparrow \curlywedgedot \curlywedgedownarrow \curlywedgeuparrow \cursive \curvearrowbotleft \curvearrowbotleftright \curvearrowbotright \curvearrowdownup \curvearrowleftright \curvearrownesw \curvearrownwse \curvearrowrightleft \curvearrowsenw \curvearrowswne \curvearrowupdown \dArr \dasheddownarrow \dashedleftarrow \dashednearrow \dashednwarrow \dashedrightarrow \dashedsearrow \dashedswarrow \dasheduparrow \dashleftarrow \dashleftrightarrow \dashVv \dblcolon \dd \ddddot \dddtstile \ddotdot \ddotsy \ddststile \ddtstile \ddttstile \degree \deltaup \dex \dfourier \diagram \diameter \diamondbackslash \diamonddiamond \diamonddot \diamonddots \diamondminus \diamondplus \diamondslash \diamondtimes \diamondvert \dina \directs \divdot \divides \dlsh \dn \dndtstile \dnststile \dntstile \dnttstile \documentclass \dotarrow \dotdiv \dotmedvert \dotminus \dotseq \dotsint \dottimes \doublecurlyvee \doublecurlywedge \doublefrown \doublefrowneq \doublesmile \doublesmileeq \doublesqcap \doublesqcup \doublevee \doublewedge \downarrowtail \downdownharpoons \downfilledspoon \downfootline \downfree \downharpoonccw \downharpooncw \downlsquigarrow \downmapsto \downmodels \downModels \downpitchfork \downpropto \downrsquigarrow \downslice \downspoon \downtherefore \downtouparrow \downuparrows \downupharpoons \downvdash \downVdash \downY \drsh \dsdtstile \dsststile \dststile \dsttstile \dtdtstile \dtimes \dtststile \dttstile \dtttstile \eipsilon \emptysetz \enddiagram \epsilonup \eqbump \eqbumped \eqcolon \eqdot \eqfrown \eqqcolon \eqsmile \equal \equalclosed \equalscolon \equalscoloncolon \equivclosed \esquerre \et \etaup \evensidemargin \fatbslash \fatslash \ffff \fgeA \fgebackslash \fgebaracute \fgebarcap \fgec \fgecap \fgecapbar \fgecup \fgecupacute \fgecupbar \fged \fgee \fgeeszett \fgeeta \fgef \fgeF \fgeinfty \fgelangle \fgelb \fgeleftB \fgeleftC \fgeN \fgeoverU \fgerightarrow \fgerightB \fges \fgestruckone \fgestruckzero \fgeU \fgeuparrow \fgeupbracket \filleddiamond \filledmedsquare \filledmedtriangledown \filledmedtriangleleft \filledmedtriangleright \filledmedtriangleup \filledsquare \filledstar \filledtriangledown \filledtriangleleft \filledtriangleright \filledtriangleup \fivedots \fixedddots \fixedvdots \floor \flqq \footnotesize \fourier \fourth \frathbf \fratto \frowneq \frowneqsmile \frownsmile \frownsmileeq \frqq \gammaup \geqclosed \geqdot \geqslantdot \ggcurly \glqq \grqq \gsdg \gtr \gtrclosed \gtreqlessslant \gtrneqqless \gue \hAar \hash \hateq \hbipropto \hcrossing \hdotdot \hdots \he \hexamethylenei \holter \href \ht \htmladdnormallink \huge \iddots \if \incoh \infinite \inG \inplus \intbar \intclockwise \interleave \intI \intop \inty \invamp \invbackneg \invneg \iotaup \jm \joinrel \kali \kappaup \ksi \l \lambdabar \lambdaslash \lambdaup \lamdba \landdownint \landupint \lAngle \langlebar \langlej \largetriangledown \largetriangleleft \largetriangleright \largetriangleup \lArr \larrowfill \latex \lbag \lBrack \lCeil \lcirclearrowdown \lcirclearrowleft \lcirclearrowright \lcirclearrowup \lcircleleftint \lcirclerightint \lcorners \lcurvearrowdown \lcurvearrowleft \lcurvearrowne \lcurvearrownw \lcurvearrowright \lcurvearrowse \lcurvearrowsw \lcurvearrowup \ldbrack \leftarrowtriangle \leftbarharpoon \leftevaw \leftfilledspoon \leftfootline \leftfree \lefthalfcap \lefthalfcup \leftharpoonccw \leftharpooncw \leftleftharpoons \leftlsquigarrow \leftmapsto \leftmodels \leftModels \leftpitchfork \leftpropto \leftrightarroweq \leftrightarrowtriangle \leftrightharpoon \leftrightharpoondownup \leftrightharpoonsfill \leftrightharpoonupdown \leftrightline \leftrsquigarrow \leftslice \leftspoon \leftsquigarrow \lefttherefore \lefttorightarrow \leftvdash \leftVdash \leftwave \leftX \lem \leqc \leqclosed \leqdot \leqslantdot \leslant \less \lessclosed \lesseqgtrslant \lessneqqgtr \letf \levaw \lfilet \lFloor \lgroup \lgx \lhook \lhookdownarrow \lhookleftarrow \lhooknearrow \lhooknwarrow \lhookrightarrow \lhooksearrow \lhookswarrow \lhookuparrow \lightning \listoffigures \lJoin \llangle \llceil \llcurly \llfloor \llless \llparenthesis \lmoustache \logof \longarrow \longmapsfrom \looparrowdownleft \looparrowdownright \lower \lrArr \lrtimes \lsem \ltriple \lvert \lwave \lwavy \lWavy \maketitle \maldekstra \maltese \mappedfromchar \mapsfrom \mapsfromchar \masterdir \mat \matbf \mathaccent \mathbbA \mathca \mathcent \mathdollar \mathellipsis \mathnormal \mathparagraph \mathrd \mathrn \mathscr \mathsection \mathsterling \mathunderscore \matriu \matrix \matrm \md \medbackslash \medbullet \medcirc \medcircle \meddiamond \medslash \medsquare \medstar \medtriangledown \medtriangleleft \medtriangleright \medtriangleup \medvert \medvertdot \merge \mi \midy \minus \minuscolon \minuscoloncolon \minusdot \minuso \mmappedfromchar \mmapstochar \moo \mS \multimapboth \multimapbothvert \multimapdot \multimapdotboth \multimapdotbothA \multimapdotbothAvert \multimapdotbothB \multimapdotbothBvert \multimapdotbothvert \multimapdotinv \multimapinv \muup \mvert \mVert \napprox \napproxeq \nasymp \nbackapprox \nbackapproxeq \nbackcong \nbackeqsim \nbacksim \nbacksimeq \nbacktriplesim \nBeachte \nbeschreibt \nbumpeq \nBumpeq \ncirceq \ncirclearrowleft \ncirclearrowright \nclosedequal \ncurlyeqprec \ncurlyeqsucc \ncurvearrowdownup \ncurvearrowleft \ncurvearrowleftright \ncurvearrownesw \ncurvearrownwse \ncurvearrowright \ncurvearrowrightleft \ncurvearrowsenw \ncurvearrowswne \ncurvearrowupdown \ndasharrow \ndasheddownarrow \ndashedleftarrow \ndashednearrow \ndashednwarrow \ndashedrightarrow \ndashedsearrow \ndashedswarrow \ndasheduparrow \ndashleftarrow \ndashrightarrow \ndashv \ndashV \nDashv \nDashV \ndashVv \nddtstile \nDer \ndiagdown \ndiagup \ndivides \ndoteq \nDoteq \ndoublefrown \ndoublefrowneq \ndoublesmile \ndoublesmileeq \ndownarrow \nDownarrow \ndownarrowtail \ndowndownarrows \ndownfilledspoon \ndownfootline \ndownfree \ndownharpoonccw \ndownharpooncw \ndownlsquigarrow \ndownmapsto \ndownmodels \ndownModels \ndownpitchfork \ndownrsquigarrow \ndownspoon \ndownuparrows \ndownupharpoons \ndownvdash \ndownVdash \ndres \ndststile \ndtstile \ndttstile \nearrowtail \nearrowy \nefilledspoon \nefootline \nefree \neharpoonccw \neharpooncw \nelsquigarrow \nemapsto \nemodels \neModels \nenearrows \nepitchfork \neqbump \neqcirc \neqdot \neqfrown \neqsim \neqslantgtr \neqslantless \neqsmile \nequal \nequalclosed \nequiv \nequivclosed \nersquigarrow \nespoon \neswarrow \neswarrows \neswbipropto \neswcrossing \neswharpoonnwse \neswharpoons \neswharpoonsenw \neswline \nevdash \neVdash \newextarrow \nfallingdotseq \nfrown \nfrowneq \nfrowneqsmile \nfrownsmile \nfrownsmileeq \ngeqclosed \ngeqdot \ngeqslantdot \ngets \ngg \nggg \ngtrapprox \ngtrclosed \ngtrdot \ngtreqless \ngtreqlessslant \ngtreqqless \ngtrless \ngtrsim \nhateq \nhookleftarrow \nhookrightarrow \nin \niplus \niv \nlcirclearrowdown \nlcirclearrowleft \nlcirclearrowright \nlcirclearrowup \nlcurvearrowdown \nlcurvearrowleft \nlcurvearrowne \nlcurvearrownw \nlcurvearrowright \nlcurvearrowse \nlcurvearrowsw \nlcurvearrowup \nleadsto \nleftarrowtail \nleftfilledspoon \nleftfootline \nleftfree \nleftharpoonccw \nleftharpooncw \nleftleftarrows \nleftlsquigarrow \nleftmapsto \nleftmodels \nleftModels \nleftpitchfork \nleftrightarrows \nleftrightharpoondownup \nleftrightharpoons \nleftrightharpoonupdown \nleftrightline \nLeftrightline \nleftrightsquigarrow \nleftrsquigarrow \nleftspoon \nleftvdash \nleftVdash \nleqclosed \nleqdot \nleqslantdot \nlessapprox \nlessclosed \nlessdot \nlesseqgtr \nlesseqgtrslant \nlesseqqgtr \nlessgtr \nlesssim \nlhookdownarrow \nlhookleftarrow \nlhooknearrow \nlhooknwarrow \nlhookrightarrow \nlhooksearrow \nlhookswarrow \nlhookuparrow \nll \nLleftarrow \nlll \nmapsto \nMit \nmodels \nndtstile \nnearrow \nNearrow \nnearrowtail \nnefilledspoon \nnefootline \nnefree \nneharpoonccw \nneharpooncw \nnelsquigarrow \nnemapsto \nnemodels \nneModels \nnenearrows \nnepitchfork \nnersquigarrow \nnespoon \nneswarrow \nNeswarrow \nneswarrows \nneswharpoonnwse \nneswharpoons \nneswharpoonsenw \nneswline \nNeswline \nnevdash \nneVdash \nnststile \nntstile \nnttstile \nnwarrow \nNwarrow \nnwarrowtail \nnwfilledspoon \nnwfootline \nnwfree \nnwharpoonccw \nnwharpooncw \nnwlsquigarrow \nnwmapsto \nnwmodels \nnwModels \nnwnwarrows \nnwpitchfork \nnwrsquigarrow \nnwsearrow \nNwsearrow \nnwsearrows \nnwseharpoonnesw \nnwseharpoons \nnwseharpoonswne \nnwseline \nNwseline \nnwspoon \nnwvdash \nnwVdash \no \noalign \nonaheterov \normalfont \normalsize \notasymp \notbot \notdivides \notequiv \notni \notowner \notperp \notsmallin \notsmallowns \nottop \nowns \nparallelslant \nperp \nplus \nprecapprox \npreccurlyeq \npreceqq \nprecsim \nrcirclearrowdown \nrcirclearrowleft \nrcirclearrowright \nrcirclearrowup \nrcurvearrowdown \nrcurvearrowleft \nrcurvearrowne \nrcurvearrownw \nrcurvearrowright \nrcurvearrowse \nrcurvearrowsw \nrcurvearrowup \nrelbar \nRelbar \nrhookdownarrow \nrhookleftarrow \nrhooknearrow \nrhooknwarrow \nrhookrightarrow \nrhooksearrow \nrhookswarrow \nrhookuparrow \nrightarrowtail \nrightfilledspoon \nrightfootline \nrightfree \nrightharpoonccw \nrightharpooncw \nrightleftarrows \nrightleftharpoons \nrightlsquigarrow \nrightmapsto \nrightmodels \nrightModels \nrightpitchfork \nrightrightarrows \nrightrsquigarrow \nrightspoon \nrightsquigarrow \nrightvdash \nrightVdash \nrisingdotseq \nRrightarrow \nsdtstile \nsearrow \nSearrow \nsearrowtail \nsefilledspoon \nsefootline \nsefree \nseharpoonccw \nseharpooncw \nselsquigarrow \nsemapsto \nsemodels \nseModels \nsenwarrows \nsenwharpoons \nsepitchfork \nsersquigarrow \nsesearrows \nsespoon \nsevdash \nseVdash \nsimeq \nsmile \nsmileeq \nsmileeqfrown \nsmilefrown \nsmilefrowneq \nsqdoublefrown \nsqdoublefrowneq \nsqdoublesmile \nsqdoublesmileeq \nsqeqfrown \nsqeqsmile \nsqfrown \nsqfrowneq \nsqfrowneqsmile \nsqfrownsmile \nsqsmile \nsqsmileeq \nsqsmileeqfrown \nsqsmilefrown \nsqsubset \nsqSubset \nSqsubset \nsqsubseteq \nsqsubseteqq \nsqsupset \nsqSupset \nSqsupset \nsqsupseteq \nsqsupseteqq \nsqtriplefrown \nsqtriplesmile \nsquigarrowdownup \nsquigarrowleftright \nsquigarrownesw \nsquigarrownwse \nsquigarrowrightleft \nsquigarrowsenw \nsquigarrowswne \nsquigarrowupdown \nsststile \nststile \nsttstile \nsubset \nSubset \nsuccapprox \nsucccurlyeq \nsucceqq \nsuccsim \nsupset \nSupset \nswarrow \nSwarrow \nswarrowtail \nswfilledspoon \nswfootline \nswfree \nswharpoonccw \nswharpooncw \nswlsquigarrow \nswmapsto \nswmodels \nswModels \nswnearrows \nswneharpoons \nswpitchfork \nswrsquigarrow \nswspoon \nswswarrows \nswvdash \nswVdash \ntdtstile \nthickapprox \nto \ntriangleeq \ntrianglelefteqslant \ntrianglerighteqslant \ntriplefrown \ntriplesim \ntriplesmile \ntststile \nttstile \ntttstile \ntwoheaddownarrow \ntwoheadleftarrow \ntwoheadnearrow \ntwoheadnwarrow \ntwoheadrightarrow \ntwoheadsearrow \ntwoheadswarrow \ntwoheaduparrow \null \nuparrow \nUparrow \nuparrowtail \nupdownarrow \nUpdownarrow \nupdownarrows \nupdownharpoonleftright \nupdownharpoonrightleft \nupdownharpoons \nupdownline \nUpdownline \nupfilledspoon \nupfootline \nupfree \nupharpoonccw \nupharpooncw \nuplsquigarrow \nupmapsto \nupmodels \nupModels \nuppitchfork \nuprsquigarrow \nupspoon \nupuparrows \nupvdash \nupVdash \nuup \nvargeq \nvarleq \nvarparallel \nvarparallelinv \nVvash \nwarrowtail \nwfilledspoon \nwfootline \nwfree \nwharpoonccw \nwharpooncw \nwlsquigarrow \nwmapsto \nwmodels \nwModels \nwnwarrows \nwpitchfork \nwrsquigarrow \nwsearrow \nwsearrows \nwsebipropto \nwsecrossing \nwseharpoonnesw \nwseharpoons \nwseharpoonswne \nwseline \nwspoon \nwvdash \nwVdash \oast \oasterisk \obackslash \obar \oblong \obot \obslash \oc \ocirc \ocircle \ocoasterisk \oddsidemargin \odiv \odplus \ogreaterthan \oiiintclockwise \oiiintctrclockwise \oiintclockwise \oiintctrclockwise \ointclockwise \ointop \ol \oleft \olessthan \omegaRC \omegaup \openJoin \opentimes \operatornameth \operatornamewithlimits \oright \ostar \otop \otriangle \otriangleup \ovee \overleftharp \overleftharpdown \overleftharpoon \overlinesegment \overrightharp \overrightharpdown \overrightharpoon \overt \overx \ovoid \owedge \owns \ownsbar \pagestyle \paragraph \parallelslant \parr \partialslash \partialvardint \partialvardlanddownint \partialvardlandupint \partialvardoiint \partialvardoint \partialvardstrokedint \partialvardsumint \partialvartint \partialvartlanddownint \partialvartlandupint \partialvartoiint \partialvartoint \partialvartstrokedint \partialvartsumint \pentagram \phiup \pithfork \piup \pjq \playstyle \plus \pluscirc \pod \polter \powerset \precdot \preceqq \precneq \primitive \product \psiup \quadrad \quadras \raisebox \rAngle \ranglebar \rarrow \rarrowfill \ratio \rbag \rBrack \rCeil \rcirclearrowdown \rcirclearrowleft \rcirclearrowright \rcirclearrowup \rcircleleftint \rcirclerightint \rcorners \rcurvearrowdown \rcurvearrowleft \rcurvearrowne \rcurvearrownw \rcurvearrowright \rcurvearrowse \rcurvearrowsw \rcurvearrowup \rdbrack \req \revaw \rfilet \rFloor \rgroup \rhook \rhookdownarrow \rhookleftarrow \rhooknearrow \rhooknwarrow \rhookrightarrow \rhooksearrow \rhookswarrow \rhookuparrow \rhoup \rhoV \righarrow \rightangle \rightarrowtriangle \rightbarharpoon \rightevaw \rightfilledspoon \rightfootline \rightfree \righthalfcap \righthalfcup \rightharpoonccw \rightharpooncw \rightleftharpoon \rightleftharpoonsfill \rightlsquigarrow \rightmapsto \rightmodels \rightModels \rightpitchfork \rightpropto \rightrightharpoons \rightrsquigarrow \rightslice \rightspoon \righttherefore \righttoleftarrow \rightvdash \rightVdash \rightwave \rightY \rigtarrow \ring \rJoin \rlap \rmoustache \ro \rrangle \rrceil \rrfloor \rrparenthesis \rsem \rtrigonal \rtriple \rvert \rwave \rwavy \rWavy \sbmat \sbox \sc \scoh \scriptsyle \sddtstile \sdststile \sdtstile \sdttstile \searrowtail \second \sect \sefilledspoon \sefootline \sefree \seharpoonccw \seharpooncw \selsquigarrow \semapsto \semodels \seModels \senwarrows \senwharpoons \separated \sepitchfork \sersquigarrow \sesearrows \sespoon \sevdash \seVdash \sf \shift \shneg \shortdownarrow \shortleftarrow \shortrightarrow \shortuparrow \shpos \shuffle \si \sigmaup \simcolon \simcoloncolon \sincoh \sinx \sl \slashdiv \small \smalldiamond \smallin \smallowns \smallprod \smallsquare \smallstar \smalltriangledown \smalltriangleleft \smalltriangleright \smalltriangleup \smileeq \smileeqfrown \smilefrown \smilefrowneq \sndtstile \snststile \sntstile \snttstile \sqbullet \sqcapdot \sqcapplus \sqcupdot \sqcupplus \sqdoublecap \sqdoublecup \sqdoublefrown \sqdoublefrowneq \sqdoublesmile \sqdoublesmileeq \sqeqfrown \sqeqsmile \sqfrown \sqfrowneq \sqfrowneqsmile \sqfrownsmile \sqiiint \sqiint \sqint \sqr \sqsmile \sqsmileeq \sqsmileeqfrown \sqsmilefrown \sqSubset \sqsubseteqq \sqsubsetneq \sqsubsetneqq \sqSupset \sqsupseteqq \sqsupsetneq \sqsupsetneqq \sqtriplefrown \sqtriplesmile \squaredots \squigarrowdownup \squigarrowleftright \squigarrownesw \squigarrownwse \squigarrowrightleft \squigarrowsenw \squigarrowswne \squigarrowupdown \squplus \ssdtstile \ssearrow \sslash \ssststile \sststile \ssttstile \sswarrow \stdtstile \steaming \strictfi \strictif \strictiff \strikeout \stststile \sttstile \stttstile \subsetplus \subsetpluseq \subsetq \succdot \succeqq \succneq \sumdi \sumint \supsetplus \supsetpluseq \swarrowtail \swfilledspoon \swfootline \swfree \swharpoonccw \swharpooncw \swlsquigarrow \swmapsto \swmodels \swModels \swnearrows \swneharpoons \swpitchfork \swrsquigarrow \swspoon \swswarrows \swvdash \swVdash \tableofcontents \talloblong \tauup \tccentigrade \tcmu \tcohm \tcpertenthousand \tcperthousand \tddtstile \tdststile \tdtstile \tdttstile \tex \textcrd \textdegree \textdiv \textdownarrow \textfractionsolidus \textheight \textlangle \textlbrackdbl \textleftarrow \textlnot \textlquill \textmd \textminus \textmu \textonehalfy \textonequartery \textonesuperior \textpm \textrangle \textrbrackdbl \textrightarrow \textrquill \textsc \textsurd \textthreequartersy \textthreesuperior \texttimes \texttwosuperior \textuparrow \textwidth \thanks \thetaup \thickvert \thinstar \third \tiny \title \tndtstile \tnststile \tntstile \tnttstile \topdoteq \topmargin \triangleeq \trianglelefteqslant \triangleleftneq \trianglerighteqslant \triplefrown \triplesim \triplesmile \tsdtstile \tsststile \tststile \tsttstile \ttdtstile \ttststile \tttstile \ttttstile \twoheaddownarrow \twoheadnearrow \twoheadnwarrow \twoheadsearrow \twoheadswarrow \twoheaduparrow \uArr \ub \udot \udotdot \udots \udtimes \ullcorner \ulrcorner \underleftharp \underleftharpdown \underlinesegment \underrightharp \underrightharpdown \underscriptrightarrow \union \up \uparrowtail \upbeta \upchi \updelta \updownarrows \updownharpoonleftright \updownharpoonrightleft \updownharpoons \updownline \upepsilon \upeta \upfilledspoon \upfootline \upfree \upharpoonccw \upharpooncw \upiota \upkappa \uplambda \uplsquigarrow \upmapsto \upmodels \upModels \upnu \upomega \upphi \uppi \uppitchfork \uppropto \uppsi \uprsquigarrow \upsigma \upsilonup \upslice \upspoon \uptau \uptherefore \uptheta \uptodownarrow \upupharpoons \upupsilon \upvarepsilon \upvarphi \upvarpi \upvarrho \upvarsigma \upvartheta \upvdash \upVdash \upxi \upY \upzeta \uset \ushortand \ushortd \utetrahedralS \utimes \var \varangle \varbigcirc \varclub \varclubsuit \varcurlyvee \varcurlywedge \vardeltav \vardiamond \vardiamondsuit \varepsilonup \varg \vargeq \varhash \varheart \varheartsuit \varint \varleq \varnotin \varnotowner \varoast \varobar \varobslash \varocircle \varodot \varogreaterthan \varoiiintclockwise \varoiiintctrclockwise \varoiint \varoiintclockwise \varoiintctrclockwise \varoint \varointctrclockwise \varolessthan \varominus \varoplus \varoslash \varotimes \varovee \varowedge \varparallel \varparallelinv \varpartialdiff \varphiup \varpiup \varprod \varrhoup \varsigmaup \varspade \varspadesuit \varsqsubsetneq \varsqsubsetneqq \varsqsupsetneq \varsqsupsetneqq \varstar \varthetaup \vartimes \varv \varvarpi \varvarrho \varw \vary \vbipropto \vbox \vcentcolon \vcrossing \vdot \vdotdot \vdotsy \vedge \veedot \veedoublebar \vertbowtie \vertdiv \vin \vphantom \vrule \vss \vvvert \wasypropto \wasytherefore \wedgedot \wide \widearc \wideOarc \with \wn \words \wreath \xe \xhookleftarrow \xhookrightarrow \xiup \xLeftarrow \xleftrightarrow \xLeftrightarrow \xlongequal \xlongleftarrow \xLongleftarrow \xlongleftrightarrow \xLongleftrightarrow \xLongrightarrow \xmapsto \xout \xR \xRightarrow \xtwoheadleftarrow \xtwoheadrightarrow \xyxy \z \zetaup \ztransf \Alad \Alas \Anglesign \Angud \Angus \Arrownot \Arrowvert \Asterisk \Bigm \Bumpedeq \Chsi \Colonapprox \Coloneq \Coloneqq \Colonsim \Comp \COMPLEX \Corresponds \Cos \Crux \Csi \Darr \Dashv \DashV \DeclareMathSizes \Dfourier \DFT \Diamondblack \Diamonddot \Diamonddotleft \DiamonddotLeft \Diamonddotright \DiamonddotRight \Diamondleft \DiamondLeft \Diamondright \DiamondRight \Eqcolon \Eqqcolon \Fourier \Frac \GDQabg \Ieq \Image \Integer \INTEGER \Intro \InversTransformHoriz \InversTransformVert \Khsi \Ksi \Lbag \Leftrightline \LHD \Longmapsfrom \Longmapsto \Lrarr \Ltrigonal \Mappedfromchar \Mapsfrom \Mapsfromchar \Mapsto \Mapstochar \Mmappedfromchar \Mmapstochar \MVEight \MVFive \MVFour \MVNine \MVOne \MVSeven \MVSix \MVThree \MVTwo \MVZero \Natural \NATURAL \Nearrow \Neswarrow \Neswline \Nwarrow \Nwsearrow \Nwseline \Omeg \OmegaG \Op \Overrightarrow \Perp \Prod \Quadrad \Quadras \Rational \RATIONAL \Rbag \Real \REAL \RHD \Searrow \Sqsubset \Sqsupset \Squaredot \Swarrow \T \TCF \TDF \Tr \TransformHoriz \TransformVert \Uarr \Updelta \Updownline \Upgamma \Uplambda \Upomega \Upphi \Uppi \Uppsi \Upsigma \Uptheta \Upupsilon \Upxi \VDash \Vectorarrow \Vectorarrowhigh \VERT \VvDash \Ydown \Yleft \Yright \Yup \Ztransf

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page	And	Or	Bold	Part	Bbb	Ang	C	H	Dollar	Percent
Absorption (logic)	9	4	-	-	-	-	-	-	-	-
Addition	-	-	1	-	-	-	-	-	-	-
Advection	-	-	7	-	-	-	-	-	-	-
Affine focal set	-	-	30	-	-	-	-	-	-	-
Affine geometry	1	-	-	-	-	-	-	-	-	-
Affine group	-	-	-	-	-	-	1	-	-	-
Airway resistance	-	-	1	-	-	-	-	-	-	-
Ak singularity	-	-	1	-	-	-	-	-	-	-
Albrecht v. Herald Co.	-	-	-	5	-	-	-	-	-	-
Analytical Society	-	-	-	1	-	-	-	-	-	-
Andreotti–Frankel theorem	-	-	2	-	-	-	-	-	-	-
Andreotti–Norguet formula	2	-	-	-	-	-	-	-	-	-
Andrzej Grzegorczyk	1	2	-	-	-	-	-	-	-	-
Angle notation	-	-	-	-	-	2	-	-	-	-
Angular Correlation of Electron Positron Annihilation Radiation	-	-	9	-	-	-	-	-	-	-
Angular velocity	-	-	25	-	-	-	-	-	-	-
Annuity	-	-	-	-	-	-	-	-	2	-
Antisymmetric relation	3	-	-	-	-	-	-	-	-	-
Appert topology	-	-	1	-	-	-	-	-	-	-
Appleton–Hartree equation	-	-	3	-	-	-	-	-	-	-
Arbitrage betting	-	-	-	-	-	-	-	-	2	-
Argument (complex analysis)	1	-	-	-	-	-	-	-	-	-
Arithmetic Fuchsian group	-	-	-	-	-	-	3	-	-	-
Arithmetic function	1	-	-	-	-	-	-	-	-	-
Arithmetic group	-	-	-	-	-	-	3	-	-	-
Arithmetical hierarchy	2	-	1	-	-	-	-	-	-	-
Array processing	-	-	9	-	-	-	-	-	-	-
Associative property	3	3	-	-	-	-	-	-	-	-
Augmented Lagrangian method	-	-	3	-	-	-	-	-	-	-
Automobile drag coefficient	-	-	1	-	-	-	-	-	-	-
Axiom of adjunction	-	1	-	-	-	-	-	-	-	-
Axiom of infinity	4	3	-	-	-	-	-	-	-	-
Axiom of limitation of size	5	-	-	-	-	-	-	-	-	-
Axiom of pairing	1	3	-	-	-	-	-	-	-	-
Axiom of union	1	-	-	-	-	-	-	-	-	-
Axiom schema of replacement	1	-	-	-	-	-	-	-	-	-
Axiom schema of specification	5	-	-	-	-	-	-	-	-	-
BCK algebra	1	-	-	-	-	-	-	-	-	-
BPST instanton	-	-	1	-	-	-	-	-	-	-
Balanced set	-	-	-	-	-	-	1	-	-	-
Banach–Alaoglu theorem	-	-	-	-	-	-	1	-	-	-
Bapat–Beg theorem	1	-	-	-	-	-	-	-	-	-
Barrier function	-	-	3	-	-	-	-	-	-	-
Bas van Fraassen	1	-	-	-	-	-	-	-	-	-
Belinfante–Rosenfeld stress–energy tensor	-	-	2	-	-	-	-	-	-	-
Beltrami identity	-	-	-	10	-	-	-	-	-	-
Bennett acceptance ratio	-	-	-	2	-	-	-	-	-	-
Beta distribution	-	-	-	20	-	-	-	-	-	-
Biconditional introduction	1	-	-	-	-	-	-	-	-	-
Binary Goppa code	1	-	-	-	-	-	-	-	-	-
Binary number	-	1	-	-	-	-	-	-	-	-
Bingham plastic	-	-	13	-	-	-	-	-	-	-
Bivector	2	2	-	-	-	-	-	-	-	-
Blancmange curve	-	-	1	-	-	-	-	-	-	-
Bloch equations	-	-	7	-	-	-	-	-	-	-
Bloch wave – MoM method	-	-	10	-	-	-	-	-	-	-
Bochner–Martinelli formula	2	-	-	-	-	-	-	-	-	-
Bolometric correction	-	-	-	-	-	-	-	-	-	2
Boole's expansion theorem	-	-	-	1	-	-	-	-	-	-
Born–von Karman boundary condition	-	-	3	-	-	-	-	-	-	-
Bézout matrix	-	-	-	-	-	-	2	-	-	-
CR manifold	-	-	-	-	-	-	41	-	-	-
CTL*	3	3	-	-	-	-	-	-	-	-
CW	-	-	1	-	-	-	-	-	-	-
CW complex	-	-	-	-	-	-	2	-	-	-
Cahn–Hilliard equation	-	-	2	-	-	-	-	-	-	-
Calculus of variations	-	-	-	13	-	-	-	-	-	-
Canonical basis	-	-	9	-	-	-	-	-	-	-
Canonical quantization	-	-	5	-	-	-	-	-	-	-
Capillary wave	-	-	1	-	-	-	-	-	-	-
Carrier frequency offset	-	-	-	-	-	1	-	-	-	-
Carry operator	-	1	-	-	-	-	-	-	-	-
Cartan formalism (physics)	-	-	1	-	-	-	-	-	-	-
Castigliano's method	-	-	3	-	-	-	-	-	-	-
Catch-22 (logic)	-	1	-	-	-	-	-	-	-	-
Cauchy problem	-	-	-	1	-	-	-	-	-	-
Cayley transform	-	-	2	-	-	-	-	-	-	-
Center-of-momentum frame	-	-	15	-	-	-	-	-	-	-
Central composite design	-	-	3	-	-	-	-	-	-	-
Characterization of probability distributions	-	-	7	-	-	-	-	-	-	-
Charge density	-	-	25	-	-	-	-	-	-	-
Chern–Simons form	-	-	6	-	-	-	-	-	-	-
Church encoding	1	-	-	-	-	-	-	-	-	-
Church's thesis (constructive mathematics)	-	-	2	-	-	-	-	-	-	-
Circular surface	-	-	1	-	-	-	-	-	-	-
Citroën	-	-	1	-	-	-	-	-	-	-
Clarence Irving Lewis	1	-	-	-	-	-	-	-	-	-
Class logic	1	-	-	-	-	-	-	-	-	-
Classical field theory	-	-	1	-	-	-	-	-	-	-
Closest point method	-	-	3	-	-	-	-	-	-	-
Clustering coefficient	-	1	-	-	-	-	-	-	-	-
Cobordism	-	-	-	-	-	-	2	-	-	-
Coefficients of potential	-	-	-	1	-	-	-	-	-	-
Combustion instability	-	-	3	-	-	-	-	-	-	-
Commutative property	2	2	-	-	-	-	-	-	-	-
Commutativity of conjunction	14	-	-	-	-	-	-	-	-	-
Complex number	-	-	-	-	-	1	-	-	-	-
Compound interest	-	-	-	-	-	-	-	-	1	-
Computation tree logic	2	1	-	-	-	-	-	-	-	-
Computational Fluid Dynamics for Phase Change Materials	-	-	1	-	-	-	-	-	-	-
Conditioned disjunction	2	1	-	-	-	-	-	-	-	-
Cone (topology)	-	-	1	-	-	-	-	-	-	-
Conflict-Driven Clause Learning	-	4	-	-	-	-	-	-	-	-
Conjunction fallacy	2	-	-	-	-	-	-	-	-	-
Conjunction introduction	4	-	-	-	-	-	-	-	-	-
Conjunctive normal form	7	9	-	-	-	-	-	-	-	-
Connection (mathematics)	-	-	5	-	-	-	-	-	-	-
Consequentia mirabilis	-	1	-	-	-	-	-	-	-	-
Conservation form	-	-	5	-	-	-	-	-	-	-
Conservation law	-	-	2	-	-	-	-	-	-	-
Consistency	-	1	-	-	-	-	-	-	-	-
Consistent histories	-	1	-	-	-	-	-	-	-	-
Constraint (mathematics)	-	-	5	-	-	-	-	-	-	-
Constructible universe	2	1	-	-	-	-	-	-	-	-
Construction of the real numbers	6	1	-	-	-	-	-	-	-	-
Constructive dilemma	1	7	-	-	-	-	-	-	-	-
Continuous geometry	-	1	-	-	-	-	-	-	-	-
Continuum hypothesis	-	1	-	-	-	-	-	-	-	-
Contraposition	5	2	-	-	-	-	-	-	-	-
Convergent matrix	-	-	11	-	-	-	-	-	-	-
Cook–Levin theorem	1	-	-	-	-	-	-	-	-	-
Cotangent bundle	1	-	-	-	-	-	-	-	-	-
Coupling (physics)	-	-	2	-	-	-	-	-	-	-
Covariant derivative	-	-	3	-	-	-	-	-	-	-
Covariant formulation of classical electromagnetism	-	-	16	-	-	-	-	-	-	-
Critical point (mathematics)	-	-	2	-	-	-	-	-	-	-
Crowds	1	-	-	-	-	-	-	-	-	-
Cubic function	-	-	-	-	-	-	-	-	-	1
Cubic harmonic	-	-	11	-	-	-	-	-	-	-
Current density	-	-	6	-	-	-	-	-	-	-
Currying	1	1	-	-	-	-	-	-	-	-
Czesław Lejewski	1	1	-	-	-	-	-	-	-	-
De Broglie–Bohm theory	-	-	3	-	-	-	-	-	-	-
De Morgan's laws	7	6	-	-	-	-	-	-	-	-
Debye–Hückel equation	-	-	-	3	-	-	-	-	-	-
Deductive lambda calculus	1	-	-	-	-	-	-	-	-	-
Definite description	1	-	-	-	-	-	-	-	-	-
Del	-	-	-	2	-	-	-	-	-	-
Deposition (geology)	-	-	-	-	-	-	1	-	-	-
Derivative	-	-	-	3	-	-	-	-	-	-
Deriving the Schwarzschild solution	-	-	-	2	-	-	-	-	-	-
Destructive dilemma	2	9	-	-	-	-	-	-	-	-
Diffeomorphism	-	-	-	1	-	-	-	-	-	-
Differential equation	-	-	-	1	-	-	-	-	-	-
Diffraction	-	-	12	-	-	-	-	-	-	-
Dilution ratio	-	-	-	-	-	-	-	-	-	2
Dirac algebra	-	-	2	-	-	-	-	-	-	-
Directional derivative	-	-	20	-	-	-	-	-	-	-
Dirichlet-multinomial distribution	-	-	3	-	-	-	-	-	-	-
Discrete valuation	-	-	-	-	-	-	1	-	-	-
Discursive dilemma	1	-	-	-	-	-	-	-	-	-
Disjunction elimination	1	5	-	-	-	-	-	-	-	-
Disjunction introduction	-	5	-	-	-	-	-	-	-	-
Disjunctive normal form	5	5	-	-	-	-	-	-	-	-
Disjunctive syllogism	1	3	-	-	-	-	-	-	-	-
Dispersion (water waves)	-	-	1	-	-	-	-	-	-	-
Dissipative operator	-	-	1	-	-	-	-	-	-	-
Distributive lattice	-	1	-	-	-	-	-	-	-	-
Distributive property	6	7	-	-	-	-	-	-	-	-
Divisor topology	-	-	1	-	-	-	-	-	-	-
Donkey sentence	3	-	-	-	-	-	-	-	-	-
Dot product	-	-	2	-	-	-	1	-	-	-
Double origin topology	-	-	2	-	-	-	-	-	-	-
Draft:DaríoBL	-	-	2	-	-	-	-	-	-	-
Dual representation	-	-	-	-	-	-	2	-	-	-
Duality (mathematics)	-	-	1	-	-	-	-	-	-	-
Dupin cyclide	-	-	-	-	-	-	1	-	-	-
E6 (mathematics)	-	-	4	-	-	-	-	-	-	-
Eigendecomposition of a matrix	-	-	-	-	-	-	1	-	-	-
Eigenvalue algorithm	-	-	1	1	-	-	-	-	-	-
Eisenbud–Levine–Khimshiashvili signature formula	-	-	3	-	-	-	-	-	-	-
Ekman layer	-	-	-	2	-	-	-	-	-	-
Electric dipole moment	-	-	36	-	-	-	-	-	-	-
Electric potential energy	-	-	1	-	-	-	-	-	-	-
Electro Thermal Dynamic Stripping Process	-	-	-	2	-	-	-	-	-	-
Electromagnetic stress–energy tensor	-	-	5	-	-	-	-	-	-	-
Electromagnetic tensor	-	-	2	-	-	-	-	-	-	-
Elementary class	1	-	-	-	-	-	-	-	-	-
Elliptic orbit	-	-	1	-	-	-	-	-	-	-
Elliptic partial differential equation	-	-	-	1	-	-	-	-	-	-
Ellis drainhole	-	-	3	-	-	-	-	-	-	-
Empty lattice approximation	-	-	15	-	-	-	-	-	-	-
Energy operator	-	-	1	-	-	-	-	-	-	-
Engine	-	-	2	-	-	-	-	-	-	-
Ensemble averaging (machine learning)	-	-	2	-	-	-	-	-	-	-
Enthalpy	-	-	-	2	-	-	-	-	-	-
Entropy (classical thermodynamics)	-	-	-	4	-	-	-	-	-	-
Envelope (mathematics)	-	-	4	-	-	-	-	-	-	-
Euclidean quantum gravity	-	-	4	-	-	-	-	-	-	-
Euler angles	-	-	4	-	-	-	-	-	-	-
Euler equations (fluid dynamics)	-	-	64	-	-	-	-	-	-	-
Evasive Boolean function	3	2	-	-	-	-	-	-	-	-
Evenly spaced integer topology	-	-	1	-	-	-	-	-	-	-
Exchangeable random variables	-	-	9	-	-	-	-	-	-	-
Exclusive or	3	1	-	-	-	-	-	-	-	-
Existential quantification	-	1	-	-	-	-	-	-	-	-
Exponential map (Lie theory)	-	-	2	-	-	-	-	-	-	-
Exportation (logic)	12	-	-	-	-	-	-	-	-	-
Exterior algebra	-	-	1	-	-	-	-	-	-	-
External ray	-	-	-	-	-	-	5	-	-	-
Fatou's theorem	-	-	-	-	-	-	2	-	-	-
Field extension	-	-	-	-	-	-	5	-	-	-
File talk:Noncont.svg	1	-	-	-	-	-	-	-	-	-
File talk:Propositional logic.png	1	1	-	-	-	-	-	-	-	-
First class constraint	-	-	3	-	-	-	-	-	-	-
First quantization	-	-	7	-	-	-	-	-	-	-
Fixed-point combinator	4	-	-	-	-	-	-	-	-	-
Flat morphism	-	-	-	-	-	-	6	-	-	-
Flux balance analysis	-	-	4	-	-	-	-	-	-	-
Focus recovery based on the linear canonical transform	-	-	2	-	-	-	-	-	-	-
Ford–Fulkerson algorithm	-	-	-	-	-	-	-	-	-	1
Formula	-	-	4	-	-	-	-	-	-	-
Fourier optics	-	-	3	-	-	-	-	-	-	-
Fractional calculus	-	-	-	1	-	-	-	-	-	-
Freivalds' algorithm	2	-	-	-	-	-	-	-	-	-
Frequency selective surface	-	-	11	-	-	-	-	-	-	-
Friedel oscillations	-	-	2	-	-	-	-	-	-	-
Frobenius reciprocity	-	-	-	-	-	-	1	-	-	-
Froude number	-	-	4	-	-	-	-	-	-	-
Fréchet algebra	-	-	-	-	-	-	3	-	-	-
Frölicher–Nijenhuis bracket	1	-	-	-	-	-	-	-	-	-
Functional derivative	-	-	-	1	-	-	-	-	-	-
Fundamental increment lemma	-	-	2	-	-	-	-	-	-	-
Fundamental theorem of Galois theory	-	-	-	-	-	-	2	-	-	-
Fuzzy subalgebra	1	-	2	-	-	-	-	-	-	-
Fürer's algorithm	-	-	-	-	-	-	-	-	-	1
GPOPS-II	-	-	9	-	-	-	-	-	-	-
Galilean transformation	-	-	3	-	-	-	-	-	-	-
Gauge theory	-	-	8	-	-	-	-	-	-	-
Gauss's law for gravity	-	-	-	3	-	-	-	-	-	-
Gaussian integral	-	-	1	-	-	-	-	-	-	-
Gauss–Codazzi equations	-	-	6	-	-	-	-	-	-	-
General number field sieve	-	-	1	-	-	-	-	-	-	-
General set theory	-	2	-	-	-	-	-	-	-	-
Generalized eigenvector	-	-	71	-	-	-	-	-	-	-
Geometric algebra	1	-	-	-	-	-	-	-	-	-
Gibbs–Duhem equation	-	-	11	-	-	-	-	-	-	-
Glossary of fuel cell terms	-	-	1	-	-	-	-	-	-	-
Golomb ruler	2	-	-	-	-	-	-	-	-	-
Grad–Shafranov equation	-	-	14	-	-	-	-	-	-	-
Gramian matrix	-	-	1	-	-	-	-	-	-	-
Green's identities	-	-	2	-	-	-	-	-	-	-
Guide number	-	-	-	-	-	-	-	-	-	1
Hamiltonian (quantum mechanics)	-	-	21	1	-	-	-	-	-	-
Hamilton–Jacobi equation	-	-	8	-	-	-	-	-	-	-
Heat capacity ratio	-	-	-	1	-	-	-	-	-	-
Heat equation	-	-	3	-	-	-	-	-	-	-
Heaviside condition	-	-	-	-	-	-	-	-	-	5
Help talk:Displaying a formula	-	-	1	-	-	-	-	-	-	-
Help talk:Displaying a formula/Archive 2	-	-	4	-	-	-	-	-	-	-
Help:Displaying a formula	1	1	-	-	-	-	-	-	-	1
Hemocytometer	-	-	-	-	-	-	-	-	-	1
Hessenberg variety	-	-	-	-	-	-	1	-	-	-
Hessian matrix	-	-	5	-	-	-	-	-	-	-
Heyting algebra	5	4	-	-	-	-	-	-	-	-
Hirzebruch signature theorem	-	-	-	-	-	-	2	-	-	-
History monoid	-	-	4	-	-	-	-	-	-	-
History of logic	2	2	-	-	-	-	-	-	-	-
Hopf fibration	-	-	5	-	-	-	-	-	-	-
Hyperfunction	-	-	-	-	-	-	8	-	-	-
Hypothetical syllogism	1	-	-	-	-	-	-	-	-	-
Indiscernibles	2	2	-	-	-	-	-	-	-	-
Inductive probability	26	6	-	-	-	-	-	-	-	-
Infinitary logic	7	-	-	-	-	-	-	-	-	-
Information dimension	-	-	-	-	-	-	-	19	-	-
Information source (mathematics)	-	-	2	-	-	-	-	-	-	-
Inner measure	-	-	-	-	-	-	-	-	-	4
Instanton	-	-	5	-	-	-	-	-	-	-
Integral domain	-	-	-	-	-	-	6	-	-	-
Intensity (physics)	-	-	1	-	-	-	-	-	-	-
Interest	-	-	-	-	-	-	-	-	4	-
Interlocking interval topology	-	-	1	-	-	-	-	-	-	-
Intermediate logic	1	-	-	-	-	-	-	-	-	-
Intertemporal CAPM	-	-	3	-	-	-	-	-	-	-
Inverse distance weighting	-	-	-	1	-	-	-	-	-	-
Inversion (discrete mathematics)	3	-	-	-	-	-	-	-	-	-
Inversive congruential generator	-	-	-	-	-	-	1	-	-	-
Isotope dilution	1	-	-	-	-	-	-	-	-	-
Kadir–Brady saliency detector	-	-	-	1	-	-	-	-	-	-
Karel Lambert	3	-	-	-	-	-	-	-	-	-
Kepler orbit	-	-	28	-	-	-	-	-	-	-
Kissing number problem	2	-	-	-	-	-	-	-	-	-
Klein–Gordon equation	-	-	2	-	-	-	-	-	-	-
Kolmogorov–Arnold representation theorem	-	-	3	-	-	-	-	-	-	-
Kolmogorov–Smirnov test	2	-	-	-	-	-	-	-	-	-
Koopmans' theorem	-	-	2	-	-	-	-	-	-	-
Kripke–Platek set theory	3	2	-	-	-	-	-	-	-	-
Krippendorff's alpha	-	-	-	-	-	-	-	-	-	1
LSZ reduction formula	-	-	-	15	-	-	-	-	-	-
Lalande 21185	-	-	-	-	-	-	-	-	-	2
Lambda calculus definition	2	1	-	-	-	-	-	-	-	-
Lambda lifting	154	6	-	-	-	-	-	-	-	-
Lattice Boltzmann methods	-	-	-	10	-	-	-	-	-	-
Law of demand	-	-	3	-	-	-	-	-	-	-
Laws of Form	1	2	-	-	-	-	-	-	-	-
Leading and lagging current	-	-	-	-	-	4	-	-	-	-
Leonhard Euler	-	-	1	-	-	-	-	-	-	-
Let expression	22	1	-	-	-	-	-	-	-	-
Lift (data mining)	4	-	-	-	-	-	-	-	-	-
Light field microscopy	-	-	24	-	-	-	-	-	-	-
Line element	-	-	6	-	-	-	-	-	-	-
Linear independence	-	-	2	-	-	-	-	-	-	-
Linear programming	1	-	-	-	-	-	-	-	-	-
Linearization	-	-	6	-	-	-	-	-	-	-
List of common physics notations	-	-	-	2	-	-	-	-	-	-
List of equations in classical mechanics	-	-	15	-	-	-	-	-	-	-
List of equations in fluid mechanics	-	-	1	-	-	-	-	-	-	-
List of first-order theories	6	-	-	-	-	-	-	-	-	-
List of mathematical symbols	1	-	-	-	-	-	-	-	-	-
Logical NOR	1	3	-	-	-	-	-	-	-	-
Logical biconditional	7	4	-	-	-	-	-	-	-	-
Logical conjunction	31	2	-	-	-	-	-	-	-	-
Logical connective	1	1	-	-	-	-	-	-	-	-
Logical disjunction	-	8	-	-	-	-	-	-	-	-
Lojban grammar	-	5	-	-	-	-	-	-	-	-
Lorentz force	-	-	-	1	-	-	-	-	-	-
MODFLOW	-	-	3	-	-	-	-	-	-	-
Maass wave form	-	-	-	-	-	-	-	27	-	-
Machine olfaction	-	-	-	3	-	-	-	-	-	-
Macroscopic quantum phenomena	-	-	-	3	-	-	-	-	-	-
Madelung equations	-	-	7	-	-	-	-	-	-	-
Magic hypercube	-	-	-	-	-	-	-	-	-	1
Magnetic dipole–dipole interaction	-	-	4	-	-	-	-	-	-	-
Magnetic moment	-	-	5	-	-	-	-	-	-	-
Magnetic resonance (quantum mechanics)	-	-	50	-	-	-	-	-	-	-
Magnetic susceptibility	-	-	-	1	-	-	-	-	-	-
Manifold	-	-	-	-	-	-	2	-	-	-
Mass flow rate	-	-	6	-	-	-	-	-	-	-
Mass flux	-	-	13	-	-	-	-	-	-	-
Material conditional	3	3	-	-	-	-	-	-	-	-
Material implication (rule of inference)	1	6	-	-	-	-	-	-	-	-
Material nonimplication	1	-	-	-	-	-	-	-	-	-
Mathematical descriptions of the electromagnetic field	-	-	27	-	-	-	-	-	-	-
Mathematical formulation of the Standard Model	-	-	24	-	-	-	-	-	-	-
Matrix addition	-	-	3	-	-	-	-	-	-	-
Matrix calculus	-	-	1	-	-	-	-	-	-	-
Matrix splitting	-	-	15	-	-	-	-	-	-	-
Max-flow min-cut theorem	-	2	-	-	-	-	-	-	-	-
Maxwell's equations	-	-	1	-	-	-	-	-	-	-
MediaWiki talk:Common.css/Archive 9	-	-	-	-	-	-	-	-	-	2
MediaWiki talk:Monobook.css	-	-	-	-	-	-	-	-	-	2
Mega-Merger	4	1	-	-	-	-	-	-	-	-
Mereology	11	1	-	-	-	-	-	-	-	-
Mereotopology	4	2	-	-	-	-	-	-	-	-
Metamaterial	-	-	2	-	-	-	-	-	-	-
Method of analytic tableaux	2	1	-	-	-	-	-	-	-	-
Minimum message length	3	-	-	-	-	-	-	-	-	-
Mixing length model	-	-	-	4	-	-	-	-	-	-
Modal fallacy	1	1	-	-	-	-	-	-	-	-
Modal logic	4	-	-	-	-	-	-	-	-	-
Modal matrix	-	-	8	-	-	-	-	-	-	-
Mode 7	-	-	7	-	-	-	-	-	-	-
Modus ponendo tollens	1	-	-	-	-	-	-	-	-	-
Modus tollens	2	1	-	-	-	-	-	-	-	-
Moment of inertia	-	-	1	-	-	-	-	-	-	-
Momentum operator	-	-	9	-	-	-	-	-	-	-
Morphism of schemes	-	-	-	-	-	-	1	-	-	-
Morse–Kelley set theory	7	2	-	-	-	-	-	-	-	-
Muller automaton	1	-	-	-	-	-	-	-	-	-
Multi-index notation	-	-	-	5	-	-	-	-	-	-
Multi-task learning	1	-	3	-	-	-	-	-	-	-
Multidimensional network	-	-	1	-	-	-	-	-	-	-
Multinomial distribution	-	-	2	-	-	-	-	-	-	-
Multiphase particle-in-cell method	-	-	17	-	-	-	-	-	-	-
Multivariate kernel density estimation	-	-	25	-	-	-	-	-	-	-
Möbius energy	-	-	22	-	-	-	-	-	-	-
Möbius plane	-	-	-	-	-	-	6	-	-	-
NAND gate	3	-	-	-	-	-	-	-	-	-
Narrowing of algebraic value sets	64	3	-	-	-	-	-	-	-	-
Nearly free electron model	-	-	49	-	-	-	-	-	-	-
Necessity and sufficiency	2	-	-	-	-	-	-	-	-	-
Negation	4	3	-	-	-	-	-	-	-	-
Negation as failure	3	3	-	-	-	-	-	-	-	-
Negation introduction	1	-	-	-	-	-	-	-	-	-
Newton–Euler equations	-	-	4	-	-	-	-	-	-	-
Nijenhuis–Richardson bracket	1	-	-	-	-	-	-	-	-	-
Non-covalent interactions index	-	-	2	-	-	-	-	-	-	-
Non-uniform rational B-spline	-	-	4	-	-	-	-	-	-	-
Null set	1	-	-	-	-	-	-	-	-	-
Oblivious ram	1	-	-	-	-	-	-	-	-	-
Operator (physics)	-	-	22	-	-	-	-	-	-	-
Optical theorem	-	-	2	-	-	-	-	-	-	-
Option type	1	-	-	-	-	-	-	-	-	-
Optional stopping theorem	1	-	-	-	-	-	-	-	-	-
Orbit	-	-	18	-	-	-	-	-	-	-
Orbit portrait	-	-	-	-	-	-	1	-	-	-
Orbital stability	-	-	-	-	-	-	2	-	-	-
Ordered field	1	-	-	-	-	-	-	-	-	-
Ordered pair	2	2	-	-	-	-	-	-	-	-
Ordinal utility	2	-	-	-	-	-	-	-	-	-
Orientation (vector space)	-	-	2	-	-	-	-	-	-	-
PSPACE-complete	2	2	-	-	-	-	-	-	-	-
Pair production	-	-	3	-	-	-	-	-	-	-
Paraconsistent logic	1	-	-	-	-	-	-	-	-	-
Parallel (geometry)	1	-	-	-	-	-	-	-	-	-
Parseval–Gutzmer formula	-	-	-	-	-	-	1	-	-	-
Partial differential equation	-	-	-	5	-	-	-	-	-	-
Partition function (mathematics)	-	-	2	-	-	-	-	-	-	-
Pauli equation	-	-	1	-	-	-	-	-	-	-
Peirce's law	1	1	-	-	-	-	-	-	-	-
Penalty method	-	-	5	-	-	-	-	-	-	-
Perifocal coordinate system	-	-	10	-	-	-	-	-	-	-
Perturbation theory	-	-	1	-	-	-	-	-	-	-
Phase angle	-	-	-	-	-	1	-	-	-	-
Pilot wave theory	-	-	1	-	-	-	-	-	-	-
Pitchfork bifurcation	-	-	-	2	-	-	-	-	-	-
Pitman shorthand	1	1	-	-	-	-	-	-	-	-
Plane (geometry)	-	-	17	-	-	-	-	-	-	-
Poisson's equation	-	-	3	-	-	-	-	-	-	-
Polar sine	-	-	4	-	-	-	-	-	-	-
Polarization of an algebraic form	-	-	3	-	-	-	-	-	-	-
Polyadic space	1	-	-	-	-	-	-	-	-	-
Polytope	-	-	-	-	-	-	1	-	-	-
Pontryagin duality	-	-	-	-	-	-	1	-	-	-
Population balance equation	-	-	1	-	-	-	-	-	-	-
Position (vector)	-	-	7	-	-	-	-	-	-	-
Position and momentum space	-	-	1	-	-	-	-	-	-	-
Position operator	-	-	3	-	-	-	-	-	-	-
Post canonical system	-	-	-	-	-	-	-	-	1	-
Potential energy	-	-	3	-	-	-	-	-	-	-
Power (physics)	-	-	4	-	-	-	-	-	-	-
Predicate functor logic	5	2	-	-	-	-	-	-	-	-
Preference (economics)	2	-	-	-	-	-	-	-	-	-
Preon star	4	-	-	-	-	-	-	-	-	-
Principle of explosion	1	-	-	-	-	-	-	-	-	-
Product rule	-	-	3	-	-	-	-	-	-	-
Projection-valued measure	-	-	1	-	-	-	-	-	-	-
Proof by contradiction	-	1	-	-	-	-	-	-	-	-
Propagator	-	-	1	-	-	-	-	-	-	-
Propositional calculus	2	3	-	-	-	-	-	-	-	-
Propositional proof system	-	-	1	-	-	-	-	-	-	-
Proxima Centauri	-	-	-	-	-	-	-	-	-	1
Proxima Centauri b	-	-	-	-	-	-	-	-	-	1
Pumping lemma for context-free languages	1	-	-	-	-	-	-	-	-	-
Pumping lemma for regular languages	1	1	-	-	-	-	-	-	-	-
Q0 (mathematical logic)	1	-	1	-	-	-	-	-	-	-
Quadrature based moment methods	-	-	17	-	-	-	-	-	-	-
Quadrupole	-	-	1	-	-	-	-	-	-	-
Quantifier (logic)	1	1	-	-	-	-	-	-	-	-
Quantum digital signature	1	-	-	-	-	-	-	-	-	-
Quantum finite automata	-	-	1	-	-	-	-	-	-	-
Quantum potential	1	-	-	-	-	-	-	-	-	-
Quater-imaginary base	-	-	-	-	-	-	2	-	-	-
Quaternionic manifold	-	-	-	-	-	-	-	14	-	-
Quotient of a formal language	1	1	-	-	-	-	-	-	-	-
Rabi cycle	-	-	2	-	-	-	-	-	-	-
Radial distribution function	-	-	1	-	-	-	-	-	-	-
Randolph diagram	-	1	-	-	-	-	-	-	-	-
Rashba effect	-	-	6	-	-	-	-	-	-	-
Rational number	1	1	-	-	-	-	-	-	-	-
Rayleigh dissipation function	-	-	1	-	-	-	-	-	-	-
Real element	-	1	-	-	-	-	-	-	-	-
Reduced mass	-	-	6	-	-	-	-	-	-	-
Reflections of signals on conducting lines	-	-	-	-	-	-	-	-	-	4
Relational algebra	-	1	-	-	-	-	-	-	-	-
Relaxation (NMR)	-	-	3	-	-	-	-	-	-	-
Representation of a Lie group	-	-	-	-	-	-	1	-	-	-
Representation theory of finite groups	-	-	-	-	-	-	87	-	-	-
Representation theory of the Lorentz group	-	-	-	-	-	-	114	-	-	-
Reproducing kernel Hilbert space	-	-	-	-	-	-	1	-	-	-
Riemann zeta function	-	-	-	-	-	-	1	-	-	-
Root of unity modulo n	-	-	1	-	-	-	-	-	-	-
Rotation group SO(3)	-	-	16	-	-	-	-	-	-	-
Rotational partition function	-	-	1	-	-	-	-	-	-	-
Rotordynamics	-	-	1	-	-	-	-	-	-	-
Rough set	6	7	-	-	-	-	-	-	-	-
Rules of passage (logic)	3	3	-	-	-	-	-	-	-	-
S (set theory)	1	-	-	-	-	-	-	-	-	-
SHA-2	2	-	-	-	-	-	-	-	-	-
SLD resolution	1	5	-	-	-	-	-	-	-	-
Second derivative	-	-	-	3	-	-	-	-	-	-
Second quantization	-	-	24	-	-	-	-	-	-	-
Selection (relational algebra)	3	1	-	-	-	-	-	-	-	-
Sequent calculus	22	31	-	-	-	-	-	-	-	-
Serial relation	2	-	-	-	-	-	-	-	-	-
Set-builder notation	1	-	-	-	-	-	-	-	-	-
Sheffer stroke	2	1	-	-	-	-	-	-	-	-
Shock capturing method	-	-	2	-	-	-	-	-	-	-
Singular homology	-	-	5	-	-	-	-	-	-	-
Situation calculus	1	-	-	-	-	-	-	-	-	-
Sobol sequence	-	-	4	-	-	-	-	-	-	-
Soler model	-	-	-	-	-	-	1	-	-	-
Spark (mathematics)	-	-	5	-	-	-	-	-	-	-
Spectral flux density	-	-	12	-	-	-	-	-	-	-
Spectral sequence	-	-	2	-	-	-	-	-	-	-
Spence's function	-	-	-	-	-	-	1	-	-	-
Sphaleron	-	-	2	-	-	-	-	-	-	-
Spin representation	-	-	-	-	-	-	1	-	-	-
Spinors in three dimensions	-	-	2	-	-	-	-	-	-	-
Spline (mathematics)	-	-	8	-	-	-	-	-	-	-
Split-step method	-	-	-	6	-	-	-	-	-	-
Standard Boolean model	2	1	-	-	-	-	-	-	-	-
Stiff equation	-	-	19	-	-	-	2	-	-	-
Streamline diffusion	-	-	7	-	-	-	-	-	-	-
Structural acoustics	-	-	1	-	-	-	-	-	-	-
Submodular set function	-	-	9	-	-	-	-	-	-	-
Substitution tiling	-	-	13	-	-	-	-	-	-	-
Superlattice	-	-	-	2	-	-	-	-	-	-
Supermembranes	-	-	3	-	-	-	-	-	-	-
Superparamagnetic relaxometry	-	-	1	-	-	-	-	-	-	-
Supervenience	1	-	-	-	-	-	-	-	-	-
Surface layer	-	-	-	3	-	-	-	-	-	-
Syllogism	4	-	-	-	-	-	-	-	-	-
Symmetric function	-	-	1	-	-	-	-	-	-	-
System of linear equations	-	-	13	-	-	-	-	-	-	-
Tarski's axioms	15	3	-	-	-	-	-	-	-	-
Tautology (logic)	-	1	-	-	-	-	-	-	-	-
Tautology (rule of inference)	6	6	-	-	-	-	-	-	-	-
Template:Bigmath/doc	-	-	-	2	-	-	-	-	-	-
Template:NumBlk/doc	-	-	36	-	-	-	-	-	-	-
Template:Oiint/doc	-	-	8	-	-	-	-	-	-	-
Template:Oiint/sandbox	-	-	5	-	-	-	-	-	-	-
Temporal logic	1	2	-	-	-	-	-	-	-	-
Tetrad formalism	-	-	5	-	-	-	-	-	-	-
The General Theory of Employment, Interest and Money	-	-	-	1	-	-	-	-	-	-
Thermoacoustics	-	-	-	1	-	-	-	-	-	-
Third derivative	-	-	1	-	-	-	-	-	-	-
Third law of thermodynamics	-	-	-	3	-	-	-	-	-	-
Three subgroups lemma	-	-	2	-	-	-	-	-	-	-
Tight binding	-	-	3	-	-	-	-	-	-	-
Topological K-theory	-	-	-	-	-	-	1	-	-	-
Torus knot	-	-	-	-	-	-	6	-	-	-
Total variation diminishing	-	-	-	2	-	-	-	-	-	-
Totally positive matrix	-	-	4	-	-	-	-	-	-	-
Transposition (logic)	-	2	-	-	-	-	-	-	-	-
Two-electron atom	-	-	2	-	-	-	-	-	-	-
Two-port network	-	-	-	-	-	-	-	-	-	4
Type (model theory)	1	1	-	-	-	-	-	-	-	-
Uncertainty theory	1	1	-	-	-	-	-	-	-	-
Unique homomorphic extension theorem	1	1	-	-	-	-	-	-	-	-
Uniquely inversible grammar	1	-	-	-	-	-	-	-	-	-
Universal geometric algebra	-	1	-	-	-	-	-	-	-	-
Universal quantification	1	-	-	-	-	-	-	-	-	-
Valuation ring	-	-	-	-	-	-	8	-	-	-
Variety (universal algebra)	-	-	5	-	-	-	-	-	-	-
Vector calculus	-	-	6	-	-	-	-	-	-	-
Vector clock	1	-	-	-	-	-	-	-	-	-
Vector model of the atom	-	-	6	-	-	-	-	-	-	-
Vector-valued function	-	-	1	-	-	-	-	-	-	-
Versor (physics)	-	-	5	-	-	-	-	-	-	-
Volkswagen Lupo	-	-	1	-	-	-	-	-	-	-
Von Neumann–Bernays–Gödel set theory	36	2	-	-	-	-	-	-	-	-
Voronoi diagram	2	-	-	-	-	-	-	-	-	-
Vorticity confinement	-	-	1	-	-	-	-	-	-	-
Vuong's closeness test	-	-	3	-	-	-	-	-	-	-
Wave equation	-	-	2	4	-	-	-	-	-	-
Wave packet	-	-	10	-	-	-	-	-	-	-
Weierstrass–Enneper parameterization	-	-	1	-	-	-	-	-	-	-
Weingarten equations	-	-	4	-	-	-	-	-	-	-
Weyl–Brauer matrices	-	-	5	-	-	-	-	-	-	-
Wheeler–DeWitt equation	-	-	2	-	-	-	-	-	-	-
Whitehead's point-free geometry	7	1	-	-	-	-	-	-	-	-
Whitney extension theorem	-	-	2	-	-	-	-	-	-	-
Witten zeta function	-	1	-	-	-	-	-	-	-	-
Yao's principle	-	-	4	-	-	-	-	-	-	-
Zero-suppressed decision diagram	1	1	-	-	-	-	-	-	-	-
Talk:0.999.../Archive 2	4	-	-	-	-	-	-	-	-	-
Talk:0.999.../Arguments/Archive 4	2	-	-	-	-	-	-	-	-	-
Talk:Abductive reasoning	1	1	-	-	-	-	-	-	-	-
Talk:Abel–Ruffini theorem	-	-	-	-	-	-	1	-	-	-
Talk:African Americans/Archive 7	-	-	-	-	-	-	-	-	-	12
Talk:Aleph number	6	-	-	-	-	-	-	-	-	-
Talk:Algebraic notation (chess)	1	1	-	-	-	-	-	-	-	-
Talk:Almost complex manifold	-	-	-	3	-	-	-	-	-	-
Talk:Amity	-	-	-	-	-	-	-	-	-	1
Talk:Anaheim Hills, Anaheim, California/archive 1	-	-	-	-	-	-	-	-	-	3
Talk:Antisymmetric relation	2	-	-	-	-	-	-	-	-	-
Talk:Approximation error	-	-	-	-	-	-	-	-	-	1
Talk:Atan2	3	-	-	-	-	-	-	-	-	-
Talk:Atheism/Archive 34	1	-	-	-	-	-	-	-	-	-
Talk:Atheism/Archive 35	1	-	-	-	-	-	-	-	-	-
Talk:Axiom of choice/Archive 2	1	-	-	-	-	-	-	-	-	-
Talk:Axiom of choice/Archive 3	1	-	-	-	-	-	-	-	-	-
Talk:Axiom of choice/Archive 5	3	-	-	-	-	-	-	-	-	-
Talk:Axiom of infinity	1	3	-	-	-	-	-	-	-	-
Talk:Axiom of limitation of size	4	-	-	-	-	-	-	-	-	-
Talk:Axiom of pairing	1	1	-	-	-	-	-	-	-	-
Talk:Axiom of union	4	3	-	-	-	-	-	-	-	-
Talk:Axiom schema of replacement	2	-	-	-	-	-	-	-	-	-
Talk:Axiom schema of specification	1	-	-	-	-	-	-	-	-	-
Talk:Banach–Tarski paradox	1	-	-	-	-	-	-	-	-	-
Talk:Bent function	-	1	-	-	-	-	-	-	-	-
Talk:Beta distribution	-	-	-	2	-	-	-	-	-	-
Talk:Binary Goppa code	2	-	-	-	-	-	-	-	-	-
Talk:Birefringence	-	-	-	9	-	-	-	-	-	-
Talk:Boolean algebra (structure)/Archive 1	-	1	-	-	-	-	-	-	-	-
Talk:Boolean algebra/Archive 4	8	8	-	-	-	-	-	-	-	-
Talk:Bra–ket notation/Archive 1	-	-	2	-	-	-	-	-	-	-
Talk:Burusera	-	-	-	-	-	-	-	-	1	-
Talk:Calculus/Archive 3	-	1	-	-	-	-	-	-	-	-
Talk:Cardinal number	1	1	-	-	-	-	-	-	-	1
Talk:Cauchy problem	-	-	-	1	-	-	-	-	-	-
Talk:Centrifugal force/Archive 17	-	-	5	-	-	-	-	-	-	-
Talk:Church's thesis (constructive mathematics)	-	-	1	-	-	-	-	-	-	-
Talk:Clustering coefficient	1	1	-	-	-	-	-	-	-	-
Talk:Collatz conjecture/Archive 2	-	-	-	-	-	-	-	-	-	1
Talk:Complex affine space	-	-	-	-	-	-	3	-	-	-
Talk:Confusion of the inverse	-	-	-	-	-	-	-	-	-	9
Talk:Conjugacy class	1	-	-	-	-	-	-	-	-	-
Talk:Construction of the real numbers	7	1	-	-	-	-	-	-	-	-
Talk:Continuity equation	-	-	4	-	-	-	-	-	-	-
Talk:Continuity equation/Archive 1	-	-	5	-	-	-	-	-	-	-
Talk:Continuum hypothesis	1	1	-	-	-	-	-	-	-	-
Talk:Counting quantification	1	-	-	-	-	-	-	-	-	-
Talk:Creation–evolution controversy/Archive 5	-	-	-	-	-	-	-	-	-	1
Talk:Curry's paradox	2	1	-	-	-	-	-	-	-	-
Talk:Definable real number	3	-	-	-	-	-	-	-	-	-
Talk:Definite description	2	-	-	-	-	-	-	-	-	-
Talk:Derivative	-	-	-	2	-	-	-	-	-	-
Talk:Diffie–Hellman key exchange/Archive 1	-	-	-	-	-	-	-	-	-	2
Talk:Distributive property	1	1	-	-	-	-	-	-	-	-
Talk:Divergence theorem/Archive 1	-	-	-	1	-	-	-	-	-	-
Talk:Divisor	1	-	-	-	-	-	-	-	-	-
Talk:Double layer (plasma physics)	-	-	1	-	-	-	-	-	-	-
Talk:Drinker paradox	-	1	-	-	-	-	-	-	-	-
Talk:Electric current/Archive 2	1	-	-	-	-	-	-	-	-	-
Talk:Ellsberg paradox	-	-	-	-	-	-	-	-	7	-
Talk:Entropy/Archive 11	1	-	-	-	-	-	-	-	-	-
Talk:Equations of motion	-	-	6	-	-	-	-	-	-	-
Talk:Euclidean division	1	1	-	-	-	-	-	-	-	-
Talk:Euclidean quantum gravity	-	-	3	-	-	-	-	-	-	-
Talk:Euler angles/Archive 1	-	-	1	-	-	-	-	-	-	-
Talk:Euler equations (fluid dynamics)	-	-	6	-	-	-	-	-	-	-
Talk:Exportation (logic)	2	4	-	-	-	-	-	-	-	-
Talk:Fictitious force/Archive 2	-	-	1	-	-	-	-	-	-	-
Talk:Finite set	1	-	-	-	-	-	-	-	-	-
Talk:Fixed-point combinator	1	-	-	-	-	-	-	-	-	-
Talk:Flux/Archive 1	-	-	2	-	-	-	-	-	-	-
Talk:Forces on sails/sandbox	-	-	1	-	-	-	-	-	-	-
Talk:Four-vector	-	-	2	-	-	-	-	-	-	-
Talk:Friedel oscillations	-	-	1	-	-	-	-	-	-	-
Talk:Fréchet algebra	-	-	-	-	-	-	2	-	-	-
Talk:Function (mathematics)/Archive 6	1	-	-	-	-	-	-	-	-	-
Talk:Fundamental theorem of algebra	-	-	-	-	-	-	1	-	-	-
Talk:Gamma function	-	-	-	-	-	-	1	-	-	-
Talk:Gelfand pair	-	-	-	-	-	-	1	-	-	-
Talk:Geometric algebra/Archive 1	-	-	1	-	-	-	-	-	-	-
Talk:Gibbs–Duhem equation	-	-	2	-	-	-	-	-	-	-
Talk:Gravitoelectromagnetism	-	-	1	-	-	-	-	-	-	-
Talk:Hamiltonian (quantum mechanics)	-	-	1	-	-	-	-	-	-	-
Talk:Harmonic mean	-	-	-	-	-	-	-	-	1	-
Talk:Hartogs number	1	-	-	-	-	-	-	-	-	-
Talk:Hash table	1	-	-	-	-	-	-	-	-	2
Talk:Hilbert space/Archive 2	-	-	1	-	-	-	-	-	-	-
Talk:Hodge star operator	2	-	-	-	-	-	-	-	-	-
Talk:Hunan	-	-	-	-	-	-	-	-	-	1
Talk:Indifference curve	2	2	-	-	-	-	-	-	-	-
Talk:Infinitary logic	1	-	-	-	-	-	-	-	-	-
Talk:Information gain in decision trees	-	-	3	-	-	-	-	-	-	-
Talk:Inner measure	-	-	-	-	-	-	-	-	-	1
Talk:Integrated pest management	-	-	-	-	-	-	-	-	1	-
Talk:Interest/Archive 1	-	-	-	-	-	-	-	-	1	-
Talk:Internal set theory	2	1	-	-	-	-	-	-	-	-
Talk:Iterated logarithm	-	-	-	-	-	-	-	-	-	2
Talk:Kármán vortex street	-	-	2	-	-	-	-	-	-	-
Talk:Lack-of-fit sum of squares	-	-	1	-	-	-	-	-	-	-
Talk:Lagrangian mechanics	-	-	2	-	-	-	-	-	-	-
Talk:Lagrangian mechanics/Archive 1	-	-	4	-	-	-	-	-	-	-
Talk:Law of the iterated logarithm	-	-	-	-	-	-	-	-	-	1
Talk:Lebesgue integration	2	-	-	-	-	-	-	-	-	-
Talk:Legendre transformation	-	-	-	1	-	-	-	-	-	-
Talk:Let expression	12	-	-	-	-	-	-	-	-	-
Talk:Limit of a function	1	-	-	-	-	-	-	-	-	-
Talk:Linear least squares (mathematics)/Archive 1	-	-	1	-	-	-	-	-	-	-
Talk:Linear regression/Archive 1	-	-	-	-	-	-	-	-	-	2
Talk:Line–plane intersection	-	-	3	-	-	-	-	-	-	-
Talk:Logarithm/Archive 3	-	-	-	-	-	-	-	-	-	1
Talk:Logic System	-	-	1	-	-	-	-	-	-	-
Talk:Material conditional	1	-	-	-	-	-	-	-	-	-
Talk:Material conditional/Archive 1	-	1	-	-	-	-	-	-	-	-
Talk:Material implication (rule of inference)	-	1	-	-	-	-	-	-	-	-
Talk:Mathematics of musical scales	-	-	-	-	-	-	-	-	-	1
Talk:Matrix multiplication/Archive 1	-	-	10	-	-	-	-	-	-	-
Talk:Maxwell's equations/Archive 5	-	-	1	-	-	-	-	-	-	-
Talk:Maxwell's equations/Archive 6	-	-	26	-	-	-	-	-	-	-
Talk:Mean time between failures/Archive 1	-	-	-	-	-	-	-	-	1	-
Talk:Mereology	1	-	-	-	-	-	-	-	-	-
Talk:Method of analytic tableaux	1	-	-	-	-	-	-	-	-	-
Talk:Miles per gallon gasoline equivalent	-	-	-	-	-	-	-	-	5	-
Talk:Momentum	-	-	6	-	-	-	-	-	-	-
Talk:Momentum operator	-	-	1	-	-	-	-	-	-	-
Talk:Monoid	-	1	-	-	-	-	-	-	-	-
Talk:Monty Hall problem/Archive 9	-	1	-	-	-	-	-	-	-	-
Talk:Morse–Kelley set theory	5	3	-	-	-	-	-	-	-	-
Talk:Multi-index notation	-	-	-	8	-	-	-	-	-	-
Talk:Natural number/Archive 1	2	-	-	-	-	-	-	-	-	-
Talk:Newcomb's paradox/Archive 1	-	-	-	-	-	-	-	-	-	1
Talk:Newton's laws of motion/Archive 3	-	-	1	-	-	-	-	-	-	-
Talk:Newton–Euler equations	-	-	2	-	-	-	-	-	-	-
Talk:Optional stopping theorem	2	-	-	-	-	-	-	-	-	-
Talk:Ordinal number/Archive 2	2	6	-	-	-	-	-	-	-	-
Talk:Orthogonal matrix	-	-	2	-	-	-	-	-	-	-
Talk:Pair production	-	-	1	-	-	-	-	-	-	-
Talk:Passer rating	-	-	-	-	-	-	-	-	-	3
Talk:Pauli equation	-	-	1	-	-	-	-	-	-	-
Talk:Percentage	-	-	-	-	-	-	-	-	-	2
Talk:Plane wave	-	-	-	-	-	-	-	-	-	4
Talk:Poisson's equation/Archive 1	-	-	3	-	-	-	-	-	-	-
Talk:Polychord	-	-	1	-	-	-	-	-	-	-
Talk:Polynomial ring	-	1	-	-	-	-	-	-	-	-
Talk:Population growth	-	-	-	-	-	-	-	-	-	1
Talk:Position operator	-	-	11	-	-	-	-	-	-	-
Talk:Post canonical system	-	-	-	-	-	-	-	-	1	-
Talk:Potential energy	-	-	4	-	-	-	-	-	-	-
Talk:Pre- and post-test probability	1	-	-	-	-	-	-	-	-	-
Talk:Pumping lemma for regular languages	2	-	-	-	-	-	-	-	-	-
Talk:Pythagorean theorem/Archive 3	-	-	2	-	-	-	-	-	-	-
Talk:Quantum finite automata	1	1	-	-	-	-	-	-	-	-
Talk:Quantum gravity/Archive for 2008	-	-	2	-	-	-	-	-	-	-
Talk:Quasi-sphere	-	1	-	-	-	-	-	-	-	-
Talk:Randall Munroe/Archive 1	-	-	-	-	-	-	-	-	1	-
Talk:Ransom E. Olds	-	-	-	-	-	-	-	-	1	1
Talk:Real interest rate	-	-	-	-	-	-	-	-	2	2
Talk:Real number/Archive 3	-	-	2	-	-	-	-	-	-	-
Talk:Receiver operating characteristic	-	-	-	-	-	-	-	-	-	1
Talk:Ricci calculus/Archive 1	-	-	1	-	-	-	-	-	-	-
Talk:Ricci calculus/Archive 2	-	-	6	-	-	-	-	-	-	-
Talk:Russell's paradox	2	-	-	-	-	-	-	-	-	-
Talk:Sakura Kinomoto	1	-	-	-	-	-	-	-	-	-
Talk:Schrödinger equation/Archive 2	1	-	-	-	-	-	-	-	-	-
Talk:Schrödinger equation/Archive 3	-	-	1	-	-	-	-	-	-	-
Talk:Set (mathematics)	4	3	-	-	-	-	-	-	-	-
Talk:Set-builder notation/Archive 1	1	-	-	-	-	-	-	-	-	-
Talk:Sieve of Eratosthenes/Archive 2	4	-	-	-	-	-	-	-	-	-
Talk:Sieve of Eratosthenes/Archive 3	1	-	-	-	-	-	-	-	-	-
Talk:Singular perturbation	-	-	-	1	-	-	-	-	-	-
Talk:Slope/Archive 1	-	-	-	-	-	-	-	-	-	1
Talk:Statistical hypothesis testing/Archive 1	-	-	-	-	-	-	-	-	-	1
Talk:Student's t-distribution	-	-	-	-	-	-	-	-	-	1
Talk:Summation	2	1	-	-	-	-	-	-	-	-
Talk:Surreal number/Archive 2	3	-	-	-	-	-	-	-	-	-
Talk:Tarski's axioms	9	-	-	-	-	-	-	-	-	-
Talk:Tautology (rule of inference)	1	-	-	-	-	-	-	-	-	-
Talk:Taylor rule	-	-	-	-	-	-	-	-	-	6
Talk:Tensor density	3	-	-	-	-	-	-	-	-	-
Talk:Tensor/Archive 1	-	-	2	-	-	-	-	-	-	-
Talk:Third law of thermodynamics	-	-	-	1	-	-	-	-	-	-
Talk:Third party (United States)/Archive 1	-	-	-	-	-	-	-	-	-	1
Talk:Time complexity	-	-	-	-	-	-	-	-	-	1
Talk:Titanium/Archive 1	-	-	-	-	-	-	-	-	-	1
Talk:Total relation	-	2	-	-	-	-	-	-	-	-
Talk:Transfinite induction	1	-	-	-	-	-	-	-	-	-
Talk:Transitive relation	3	-	-	-	-	-	-	-	-	-
Talk:Transpose	-	-	-	-	-	-	1	-	-	-
Talk:Two envelopes problem/Arguments	-	-	-	-	-	-	-	-	2	-
Talk:Two envelopes problem/Arguments/Archive 1	-	-	-	-	-	-	-	-	1	-
Talk:United States Treasury security	-	-	-	-	-	-	-	-	-	1
Talk:Variety (universal algebra)	-	-	1	-	-	-	-	-	-	-
Talk:Vector calculus	-	-	8	1	-	-	-	-	-	-
Talk:Volume fraction	-	-	-	-	-	-	-	-	-	2
Talk:Von Neumann–Bernays–Gödel set theory	1	1	-	-	-	-	-	-	-	-
Talk:Waterboarding/Archive 7	-	-	-	-	-	-	-	-	-	1
Talk:Wave equation	-	-	-	3	-	-	-	-	-	-
Talk:Wave function/Archive 8	-	-	3	-	-	-	-	-	-	-
Talk:Wave packet	-	-	2	-	-	-	-	-	-	2
Talk:Wave vector	-	-	1	-	-	-	-	-	-	-
Talk:Wavenumber	-	-	2	-	-	-	-	-	-	-
Talk:Whitehead's point-free geometry	4	-	-	-	-	-	-	-	-	-
Talk:Wind power/Archive 3	-	-	-	-	-	-	-	-	-	1
Talk:Work (physics)/Archives/2011/October	-	-	1	-	-	-	-	-	-	-
Talk:Work (physics)/Archives/2012/August	-	-	1	-	-	-	-	-	-	-
Talk:Work (physics)/Archives/2012/July	-	-	3	-	-	-	-	-	-	-
Talk:Work (physics)/Archives/2012/May	-	-	1	-	-	-	-	-	-	-
Talk:Work (physics)/Archives/2013/February	-	-	1	-	-	-	-	-	-	-
Talk:Zermelo–Fraenkel set theory	14	2	-	-	-	-	-	-	-	-
Talk:Čech cohomology	-	-	1	-	-	-	-	-	-	-
User talk:119.154.41.119	-	-	-	-	-	-	-	-	1	-
User talk:182.186.70.145	-	-	-	-	-	-	-	-	-	3
User talk:78.150.63.89	-	-	-	-	-	-	-	-	-	1
User talk:98.190.133.83	-	-	-	-	-	-	-	-	1	-
User talk:Adasarathy	-	-	-	-	-	-	-	-	1	-
User talk:Ancheta Wis/f	1	-	-	1	-	-	-	-	-	-
User talk:Arthur Rubin/Archive 2013	4	1	-	-	-	-	-	-	-	-
User talk:Bdmy	-	-	-	-	-	-	-	-	-	1
User talk:Chessfan/work1	-	-	41	-	-	-	3	-	-	-
User talk:Cheung Chun Ping	-	-	-	2	-	-	-	-	-	-
User talk:David J Wilson	-	-	-	-	-	-	-	-	-	60
User talk:Dolphin51	-	-	1	-	-	-	-	-	-	-
User talk:Dr pda/archive3	-	-	-	-	-	-	-	-	-	1
User talk:Edokter/Archive 6	-	-	1	-	-	-	-	-	-	-
User talk:EmilJ/Archive 2	-	-	-	-	-	-	-	-	1	-
User talk:EmilJ/Archive 4	1	-	-	-	-	-	-	-	-	-
User talk:EricBright	1	1	-	-	-	-	-	-	-	-
User talk:F=q(E+v^B)/Archive 1	-	-	1	-	-	-	-	-	-	-
User talk:Fuzzyeric	-	1	-	-	-	-	-	-	-	-
User talk:Gah4	-	-	1	-	-	-	-	-	-	-
User talk:Gnathan87	-	-	-	-	-	-	-	-	-	3
User talk:Honyok75	-	-	-	-	-	-	-	-	-	8
User talk:Icek~enwiki	-	-	-	-	-	-	-	-	-	1
User talk:JRSpriggs	1	-	-	-	-	-	-	-	-	-
User talk:Jimbo Wales/Archive 166	-	-	-	-	-	-	1	-	-	-
User talk:Jimbo Wales/Archive 224	2	2	-	-	-	-	-	-	-	-
User talk:KSmrq	-	-	2	-	-	-	-	-	-	-
User talk:Kallikanzarid	-	-	-	-	-	-	-	-	1	-
User talk:Lambiam/Archive 3	1	1	-	-	-	-	-	-	-	-
User talk:Mct mht	-	-	6	-	-	-	-	-	-	-
User talk:Michael Hardy/Archive7	-	-	-	-	-	-	-	-	1	-
User talk:MikeEnnen	1	-	-	-	-	-	-	-	-	-
User talk:Music1201/Archive 2	-	-	-	-	-	-	-	-	-	1
User talk:Mystaker1	-	-	-	-	-	-	-	-	-	1
User talk:Mythealias/Archive 1	-	-	-	-	-	-	-	-	-	1
User talk:Nageh/mathJax	-	-	3	-	-	-	-	-	-	-
User talk:Nbarth/Archive 2009	-	-	-	-	-	-	-	-	-	4
User talk:Netscott/Archive-03	-	-	-	-	-	-	-	-	-	1
User talk:Oleg Alexandrov/Archive8	1	-	-	-	-	-	-	-	-	-
User talk:PMajer	-	-	-	-	-	-	1	-	-	-
User talk:RJGray	7	-	-	-	-	-	-	-	-	-
User talk:RJGray/Sandboxcantor1	9	-	-	-	-	-	-	-	-	-
User talk:RandomP/archive 1	2	-	-	-	-	-	-	-	-	1
User talk:Rschwieb	-	-	11	-	-	-	-	-	-	-
User talk:Salix alba/Archive 9	-	-	-	-	-	-	-	-	-	1
User talk:Selfstudier	-	-	7	-	-	-	-	-	-	-
User talk:Steg55	-	-	-	-	-	-	-	-	-	2
User talk:T.Stokke	-	1	-	-	-	-	-	-	-	-
User talk:The $R$/Archive 7	-	-	-	-	-	-	-	-	8	-
User talk:Thepigdog	6	-	-	-	-	-	-	-	-	-
User talk:Tsirel	3	-	-	-	-	-	-	-	-	-
User talk:Typeships17	-	-	9	-	-	-	-	-	-	-
User talk:Wcherowi/Archive 4	-	-	-	-	-	-	-	-	-	10
User talk:Weirpwoer	-	-	-	-	-	-	-	-	1	-
User talk:Yanwen	-	-	4	-	-	-	-	-	-	-
User:0149bdd/sandbox	-	-	6	-	-	-	-	-	-	-
User:2Skupz	-	-	-	-	-	-	-	-	-	1
User:4x4software/sandbox	-	-	-	-	-	-	-	-	1	1
User:Aceaves/sandbox	-	-	-	-	-	-	1	-	-	-
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User:Aeolien/Sandbox2	-	-	-	-	-	-	-	-	-	1
User:Ahhweetan/sandbox	1	-	-	-	-	-	-	-	-	-
User:Alberto Rodríguez Ruiz/sandbox	-	-	-	1	-	-	-	-	-	-
User:Alfred Centauri/sandbox	-	-	45	-	-	-	-	-	-	-
User:Aliensunmin/sandbox	-	-	-	1	-	-	-	-	-	-
User:Alimond	-	-	-	-	-	-	-	-	13	-
User:Alksentrs/Table of mathematical symbols (grouped like in German version)	2	1	-	-	-	-	-	-	-	-
User:Alksentrs/Table of mathematical symbols (testing)	1	1	-	-	-	-	-	-	-	-
User:Anders Sandberg/sandbox	-	-	2	-	-	-	1	-	-	-
User:Andreas.lang/digital watermarking	-	-	-	-	-	-	-	-	4	-
User:Ankitpatel715	1	1	-	-	-	-	-	-	-	-
User:Archimerged/PhysicsNavigation/doc	-	-	-	1	-	-	-	-	-	-
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User:Arthurv~enwiki/coordinates	-	-	1	-	-	-	-	-	-	-
User:AtomCrusher/Sandbox	-	-	-	-	-	-	-	-	1	-
User:Augustulus2/sandbox	1	-	-	-	-	-	-	-	-	-
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User:Azacz/sandbox	-	-	-	-	-	-	-	-	-	3
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User:Bci2/Books/StandardModel	-	-	24	-	-	-	-	-	-	-
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User:Ben Spinozoan/Wronskian&Independence	2	5	-	-	-	-	-	-	-	-
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User:Biohisham/sandbox	-	-	-	-	-	-	-	-	-	3
User:Blkutter/Soil Mechanics Rewrite	-	-	-	-	-	-	-	-	-	3
User:Bmuperle/Continuous Time Finance	-	-	-	-	-	-	-	-	1	-
User:Bob K31416/BI	-	-	-	3	-	-	-	-	-	-
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User:Bob K31416/FD	-	-	-	1	-	-	-	-	-	-
User:Boydjj/Temporal logic draft	1	2	-	-	-	-	-	-	-	-
User:Bpsullivan/GS	-	-	14	-	-	-	-	-	-	-
User:Btg2290	-	-	-	1	-	-	-	-	-	-
User:Btka/sandbox	-	-	-	-	-	-	-	-	5	-
User:CaladSigilon/Math	-	-	-	-	-	-	-	-	-	4
User:Chakazul/physics	4	2	-	-	-	-	-	-	-	-
User:Chem511 G/sandbox	-	-	-	-	-	-	-	-	-	1
User:Chem540f09grp2/Sandbox	-	-	-	-	-	-	-	-	-	2
User:Chemengr82/CPFD method draft	-	-	17	-	-	-	-	-	-	-
User:Chemengr82/Multiphase particle-in-cell draft	-	-	17	-	-	-	-	-	-	-
User:Chessfan/work1	-	-	6	-	-	-	-	-	-	-
User:Cirrus246/sandbox	-	-	-	-	-	-	-	-	-	1
User:Compulogger/sandbox	3	4	-	-	-	-	-	-	-	-
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User:Corkgkagj/draft	3	-	-	-	-	-	-	-	-	-
User:CraigNGC/subpage FourierOptics	-	-	1	-	-	-	-	-	-	-
User:Cronholm144/Integral	-	-	2	-	-	-	-	-	-	-
User:DBoyd13/Linear Seismic Inversion	-	-	-	-	-	-	-	-	1	-
User:DX-MON/Complex Number Newton-Raphson differentiation	-	-	-	8	-	-	-	-	-	-
User:Dadofme/sandbox	-	-	-	-	-	-	-	-	-	1
User:Daiyuda/sandbox	-	-	-	-	-	-	-	-	-	1
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User:Dave3457/Sandbox/Talk space referred	-	-	-	-	-	-	-	-	-	5
User:Dave3457/Sandbox/Temp2	-	-	-	-	-	-	-	-	-	5
User:Dexteroid	-	-	-	4	-	-	-	-	-	-
User:Dexteroid/Scan Conversion Ellipse	-	-	-	4	-	-	-	-	-	-
User:Dfindrik	-	-	-	2	-	-	-	-	-	-
User:Dhatfield/Sandbox Two - product formula	-	-	-	-	-	-	-	-	-	1
User:Didero/Sandbox	-	-	-	-	-	-	-	-	-	4
User:DiscoLava	-	-	-	-	-	-	-	-	-	1
User:Dmcq/COV	-	-	-	2	-	-	-	-	-	-
User:Donludwig/Sandbox	-	-	-	4	-	-	-	-	-	-
User:Dr. J. Rodal	-	-	-	14	-	-	-	-	-	-
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User:Edutabacman	-	-	-	-	-	-	-	-	1	1
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User:Egm6936.s09/EGM 6611 Continuum Mechanics, Fall 2003	-	-	30	-	-	-	-	-	-	-
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User:Euorohick/sandbox	-	-	-	-	-	-	-	-	4	-
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User:F=q(E+v^B)/sandbox	-	-	8	-	-	-	-	-	-	-
User:Federhalter/Alpha channel reconstruction	1	-	-	-	-	-	-	-	-	-
User:Fkdtrtl03/Hessenberg variety	-	-	-	-	-	-	1	-	-	-
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User:GX, May 1971/Math	-	-	128	-	-	-	1	-	-	-
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