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(AUTOMATIC EDIT: Updated image/latex database (currently 525 images latexified; order by confidence, reverse: True.)
 
(176 intermediate revisions by 6 users not shown)
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All known classifications:
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<big>''More about this project can be found [[User:Maximilian Janisch/latexlist|here]]. For some examples of manual corrections of the below formulas, see [[User:Ulf_Rehmann/Table_of_automatically_generated_TeX_code|this page]].''</big>
  
== List ==
+
All known LaTeX classifications are stored in subpages of this page. Except for around 500 images, all images from articles for which no Nroff code is present have been classified. These around 23'000 images are distributed over 77 pages, each having 300 formulas (except for the last page):
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l061/l061050/l0610509.png ; $f ^ { \prime } ( x ) = 0$ ; confidence 1.000
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== No Nroff ==
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001019.png ; $T ( s )$ ; confidence 1.000
+
=== Correction ===
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b016/b016920/b016920121.png ; $( M )$ ; confidence 1.000
+
==== [[Special:Contributions/Tim_Gehrunger|Tim]] ====
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416038.png ; $\mu _ { 1 } = \mu _ { 2 } = \mu > 0$ ; confidence 1.000
+
15 packs: <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/1|1]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/5|5]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/9|9]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/13|13]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/17|17]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/21|21]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/25|25]]  [[User:Maximilian_Janisch/latexlist/latex/NoNroff/29|29]]  [[User:Maximilian_Janisch/latexlist/latex/NoNroff/77|77]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/33|33]]  [[User:Maximilian_Janisch/latexlist/latex/NoNroff/73|73]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/69|69]]  [[User:Maximilian_Janisch/latexlist/latex/NoNroff/65|65]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/57|57]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/61|61]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i051/i051940/i05194058.png ; $m \times ( n + 1 )$ ; confidence 1.000
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850143.png ; $\{ \lambda \}$ ; confidence 1.000
+
==== [[Special:Contributions/Marco Bertenghi|Marco]] ====
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b017330155.png ; $\Phi ( \theta )$ ; confidence 1.000
+
13 packs: <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/2|2]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/7|7]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/12|12]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/18|18]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/23|23]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/28|28]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/34|34]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/39|39]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/44|44]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/50|50]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/55|55]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/60|60]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/66|66]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g130/g130050/g13005024.png ; $r ( 1,2 )$ ; confidence 1.000
+
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110440/c11044082.png ; $C ( n ) = 0$ ; confidence 1.000
+
==== [[Special:Contributions/Rui Martins|Rui]] ====
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120090/w120090131.png ; $\Delta ( \lambda ) ^ { \mu }$ ; confidence 1.000
+
20 packs: <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/3|3]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/6|6]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/10|10]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/14|14]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/16|16]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/20|20]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/24|24]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/27|27]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/31|31]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/35|35]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/38|38]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/42|42]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/46|46]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/48|48]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/52|52]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/56|56]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/59|59]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/63|63]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/67|67]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/70|70]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055840/k055840118.png ; $[ x , y ] = 0$ ; confidence 1.000
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066560/n06656013.png ; $A ( u ) = 0$ ; confidence 1.000
+
and 10 packs: <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/11|11]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/15|15]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/19|19]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/30|30]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/36|36]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/54|54]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/68|68]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/74|74]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/75|75]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/76|76]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087270/s08727069.png ; $F ( \lambda , \alpha )$ ; confidence 1.000
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055370/k05537016.png ; $0 < p , q < \infty$ ; confidence 1.000
+
and 5 packs: <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/37|37]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/41|41]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/45|45]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/49|49]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/53|53]]</s>
# 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660281.png ; $f : D \rightarrow \Omega$ ; confidence 1.000
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047970/h047970134.png ; $( C , A )$ ; confidence 1.000
+
==== [[Special:Contributions/David Morselli|David]] ====
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520368.png ; $\phi _ { i } ( 0 ) = 0$ ; confidence 1.000
+
13 packs: <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/8|8]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/22|22]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/26|26]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/32|32]]  [[User:Maximilian_Janisch/latexlist/latex/NoNroff/40|40]]   [[User:Maximilian_Janisch/latexlist/latex/NoNroff/43|43]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/47|47]]  [[User:Maximilian_Janisch/latexlist/latex/NoNroff/51|51]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/58|58]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/62|62]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/64|64]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/71|71]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/72|72]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/z/z130/z130110/z13011094.png ; $\mu ( i , m + 1 ) - \mu ( i , m ) =$ ; confidence 1.000
+
 
# 18 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a012/a012250/a01225011.png ; $R > 0$ ; confidence 1.000
+
==== Unassigned ====
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t130/t130110/t13011034.png ; $( T , - )$ ; confidence 1.000
+
<s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/4|4]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f042/f042060/f04206074.png ; $f ( - x ) = - f ( x )$ ; confidence 1.000
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059490/l059490122.png ; $R ( t + T , s ) = R ( t , s )$ ; confidence 0.999
+
=== Supervision ===
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/v/v096/v096380/v09638020.png ; $X ^ { \prime } \cap \pi ^ { - 1 } ( b )$ ; confidence 0.999
+
==== [[Special:Contributions/Rui_Martins|Rui]] ====
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660219.png ; $F = \{ f ( z ) \}$ ; confidence 0.999
+
<s>[[User:Maximilian Janisch/latexlist/latex/NoNroff/1|1]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/2|2]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/4|4]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/5|5]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/7|7]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/8|8]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/9|9]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/12|12]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/13|13]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/17|17]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/18|18]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/22|22]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/23|23]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/26|26]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/28|28]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/32|32]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/34|34]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/39|39]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/40|40]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/43|43]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/47|47]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/51|51]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/57|57]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/61|61]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/65|65]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/69|69]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/73|73]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052020/i05202038.png ; $B = Y \backslash 0$ ; confidence 0.999
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620248.png ; $x > y > z$ ; confidence 0.999
+
and <s>[[User:Maximilian Janisch/latexlist/latex/NoNroff/21|21]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/25|25]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/29|29]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/33|33]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/44|44]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/50|50]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/55|55]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/58|58]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/60|60]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/62|62]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/64|64]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/66|66]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/71|71]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/72|72]] [[User:Maximilian Janisch/latexlist/latex/NoNroff/77|77]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062350/m06235096.png ; $\mu ^ { - 1 }$ ; confidence 0.999
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067360/n0673605.png ; $\phi ( x ) \geq 0$ ; confidence 0.999
+
==== [[Special:Contributions/Martina_Jørgensen|Martina]] ====
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305060.png ; $( U ) = n - 1$ ; confidence 0.999
+
<s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/42|42]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/46|46]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/48|48]]
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057430/l05743029.png ; $k ^ { 2 } ( \tau ) = \lambda$ ; confidence 0.999
+
[[User:Maximilian_Janisch/latexlist/latex/NoNroff/52|52]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/53|53]]
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110160/c11016083.png ; $F ( K , A )$ ; confidence 0.999
+
[[User:Maximilian_Janisch/latexlist/latex/NoNroff/54|54]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/56|56]]
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130060/i13006049.png ; $y \geq x \geq 0$ ; confidence 0.999
+
[[User:Maximilian_Janisch/latexlist/latex/NoNroff/59|59]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/63|63]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/67|67]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/70|70]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/68|68]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/74|74]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/75|75]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/76|76]]</s>
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036120/e03612012.png ; $m ( M )$ ; confidence 0.999
+
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059110/l059110131.png ; $( 0 , m h )$ ; confidence 0.999
+
=== [[User:Maximilian_Janisch/latexlist/latex/NoNroff/comments|Formulas with comments by the corrector]] ===
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063990/m06399032.png ; $A = \pi r ^ { 2 }$ ; confidence 0.999
+
 
# 7 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040580/f04058044.png ; $\phi ( p )$ ; confidence 0.999
+
== [[User:Maximilian Janisch/latexlist/latex/Archive|Archive]] ==
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060128.png ; $2 g - 1$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007033.png ; $< 1$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055700/k05570014.png ; $I _ { \Gamma } ( x )$ ; confidence 0.999
 
# 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t120/t120200/t12020041.png ; $d \in [ 0,3 ]$ ; confidence 0.999
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250047.png ; $P ^ { N } ( k )$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008012.png ; $A = [ A _ { 1 } , A _ { 2 } ]$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110890/b11089054.png ; $f ( x ) = x ^ { t } M x$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s110/s110260/s11026022.png ; $\eta \in R ^ { k }$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070106.png ; $C ^ { \prime } = 1$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031032.png ; $0 \leq \delta \leq ( n - 1 ) / 2 ( n + 1 )$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097850/w0978506.png ; $M _ { \lambda , \mu } ( z ) , M _ { \lambda , - \mu } ( z )$ ; confidence 0.999
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p072/p072830/p072830109.png ; $\sigma _ { i j } ( t )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s120/s120160/s12016033.png ; $H ( q , d )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544020.png ; $U ( \epsilon )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g045/g045090/g045090122.png ; $\psi _ { k } ( \xi )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290121.png ; $\operatorname { dim } A = 2$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130180/m130180107.png ; $\mu ( 0 , x ) \neq 0$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583071.png ; $i B _ { 0 }$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062950/m0629503.png ; $f \in L _ { 1 } ( X , \mu )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110130/b11013099.png ; $m _ { 1 } \in M _ { 1 }$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t130/t130050/t13005033.png ; $D _ { A } ^ { 2 } = 0$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120260/e12026092.png ; $( L _ { \mu } ) ^ { p }$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010135.png ; $p : X \rightarrow S$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047330/h04733016.png ; $L _ { 2 } ( X \times X , \mu \times \mu )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d033/d033720/d03372050.png ; $\gamma _ { k } < \sigma < 1$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k110/k110190/k11019069.png ; $P = Q$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l05935092.png ; $Y ( t ) = X ( t ) C$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l0570007.png ; $( M N ) \in \Lambda$ ; confidence 0.998
 
# 1217 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110420/a110420118.png ; $H$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r081/r081150/r0811504.png ; $\frac { d ^ { 2 } x } { d \tau ^ { 2 } } - \lambda ( 1 - x ^ { 2 } ) \frac { d x } { d \tau } + x = 0$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d031/d031920/d03192079.png ; $0 < l < n$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242019.png ; $\phi ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.998
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086450/s08645013.png ; $A _ { \delta }$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090900/s09090013.png ; $S ( x _ { 0 } , r )$ ; confidence 0.997
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020650/c02065027.png ; $\phi , \lambda$ ; confidence 0.997
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063800/m06380038.png ; $\theta _ { n } ( \partial \pi )$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m064/m064250/m064250142.png ; $d y / d s \geq 0$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b13030019.png ; $\phi : B ( m , n ) \rightarrow G$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d120/d120230/d120230125.png ; $T _ { 1 } T _ { 2 } ^ { - 1 } T _ { 3 }$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p073750105.png ; $e ( \xi \otimes C )$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f110/f110050/f11005019.png ; $q ( 0 ) \neq 0$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690039.png ; $H ^ { 0 } ( X , F ) = F ( X )$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c023/c023150/c023150156.png ; $i ^ { * } ( \phi ) = 0$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o070340106.png ; $U _ { n } ( x ) = ( n + 1 ) F ( - n , n + 2 ; \frac { 3 } { 2 } ; \frac { 1 - x } { 2 } )$ ; confidence 0.997
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025140/c025140162.png ; $X \in V ( B )$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r077/r077640/r07764046.png ; $D _ { n - 2 }$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052350/i05235028.png ; $f ( x , y ) = a x ^ { 3 } + 3 b x ^ { 2 } y + 3 c x y ^ { 2 } + d y ^ { 3 }$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.996
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085620/s08562096.png ; $S ( X , Y )$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r130/r130080/r130080102.png ; $\Lambda ^ { 2 } : = \sum _ { j = 1 } ^ { \infty } \lambda _ { j } < \infty$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/v/v096/v096740/v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.996
 
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055030/k05503063.png ; $T ( X )$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021520/c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h048/h048450/h0484501.png ; $z ( 1 - z ) w ^ { \prime \prime } + [ \gamma - ( \alpha + \beta + 1 ) z ] w ^ { \prime } - \alpha \beta w = 0$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.996
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250023.png ; $O _ { X } ( 1 ) = O ( 1 )$ ; confidence 0.996
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093180/t093180434.png ; $D ( R ^ { n + k } )$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c024/c024450/c0244507.png ; $U ( A ) \subset Y$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052230/i0522303.png ; $x \leq z \leq y$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100392.png ; $T _ { K } ( K )$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c024/c024780/c024780245.png ; $\operatorname { arg } z = c$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k0558502.png ; $K = ( S , R , D , W )$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040442.png ; $h ^ { - 1 } ( F _ { 0 } )$ ; confidence 0.995
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810205.png ; $\beta ( M )$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069050.png ; $\Omega \in ( H ^ { \otimes 0 } ) _ { \alpha } \subset \Gamma ^ { \alpha } ( H )$ ; confidence 0.995
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d031/d031380/d031380332.png ; $E = N$ ; confidence 0.995
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066440/n06644040.png ; $\sum _ { n = 0 } ^ { \infty } A ^ { n } f$ ; confidence 0.994
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640033.png ; $2 - m - 1$ ; confidence 0.994
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100421.png ; $S : \Omega \rightarrow L ( Y , X )$ ; confidence 0.994
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150169.png ; $F \in \gamma$ ; confidence 0.994
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s091/s091570/s09157097.png ; $T ^ { * } Y \backslash 0$ ; confidence 0.994
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067840/n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.994
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.993
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f042/f042070/f04207074.png ; $T _ { N } ( t )$ ; confidence 0.993
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350126.png ; $\dot { y } = - A ^ { T } ( t ) y$ ; confidence 0.993
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h120/h120120/h12012026.png ; $f \phi = 0$ ; confidence 0.993
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.993
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120210/w12021059.png ; $B _ { m } = R$ ; confidence 0.993
 
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130290/b130290203.png ; $0 \leq i \leq d - 1$ ; confidence 0.993
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093670/t09367039.png ; $\operatorname { lim } _ { \epsilon \rightarrow 0 } d ( E _ { \epsilon } ) = d ( E )$ ; confidence 0.993
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022970/c02297061.png ; $H ^ { i } ( X , O _ { X } ( \nu ) ) = 0$ ; confidence 0.993
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080680/r08068055.png ; $x ( t ) \in D ^ { c }$ ; confidence 0.992
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d032/d032060/d03206032.png ; $f ( t , x ) \equiv A x + f ( t )$ ; confidence 0.992
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120280/c12028010.png ; $\pi _ { 1 } ( X _ { 1 } , X _ { 0 } )$ ; confidence 0.992
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086620/s08662027.png ; $\Sigma ( \Sigma ^ { n } X ) \rightarrow \Sigma ^ { n + 1 } X$ ; confidence 0.992
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110070/a11007016.png ; $\Pi _ { p } ( X , Y )$ ; confidence 0.992
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l120/l120030/l1200303.png ; $\operatorname { Map } ( X , Y ) = [ X , Y ]$ ; confidence 0.991
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f041/f041270/f04127030.png ; $\alpha < \beta < \gamma$ ; confidence 0.991
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m110/m110180/m11018050.png ; $J ( F G / I ) = 0$ ; confidence 0.991
 
# 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.991
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.990
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.990
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057440/l05744010.png ; $D = 2 \gamma k T / M$ ; confidence 0.990
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022660/c022660213.png ; $S _ { k } ( \zeta _ { 0 } ) \backslash R ( f , \zeta _ { 0 } ; D )$ ; confidence 0.990
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130030/i13003026.png ; $[ T ^ { * } M ]$ ; confidence 0.990
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b015/b015350/b015350372.png ; $\{ \xi _ { t } \}$ ; confidence 0.990
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h110/h110400/h11040046.png ; $\int _ { X } | f ( x ) | ^ { 2 } \operatorname { ln } | f ( x ) | d \mu ( x ) \leq$ ; confidence 0.990
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062490/m06249090.png ; $\alpha _ { \epsilon } ( h ) = o ( h )$ ; confidence 0.989
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.989
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086520/s086520138.png ; $\theta _ { T } = \theta$ ; confidence 0.989
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047930/h047930255.png ; $\alpha \in \pi _ { 1 } ( X , x _ { 0 } )$ ; confidence 0.989
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a01165078.png ; $H \times H \rightarrow H$ ; confidence 0.989
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.988
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684027.png ; $X = N ( A ) + X , \quad Y = Z + R ( A )$ ; confidence 0.988
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017340/b01734036.png ; $+ \int _ { \partial S } \mu ( t ) d t + i c , \quad \text { if } m \geq 1$ ; confidence 0.987
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017360/b0173603.png ; $\frac { \partial ^ { 2 } u } { \partial x _ { 1 } ^ { 2 } } + \frac { \partial ^ { 2 } u } { \partial x _ { 2 } ^ { 2 } } = - f ( x _ { 1 } , x _ { 2 } ) , \quad ( x _ { 1 } , x _ { 2 } ) \in G$ ; confidence 0.987
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g130/g130030/g13003082.png ; $\Gamma \subset \Omega$ ; confidence 0.987
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p075/p075160/p07516085.png ; $K _ { 1 } ( O _ { 1 } , E _ { 1 } , U _ { 1 } )$ ; confidence 0.987
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t092/t092650/t09265044.png ; $c < 2$ ; confidence 0.987
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.986
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a013/a013590/a01359029.png ; $\Phi ^ { ( 3 ) } ( x )$ ; confidence 0.986
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010055.png ; $E ^ { \prime } = 0$ ; confidence 0.985
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o068/o068460/o0684606.png ; $x ( t _ { 1 } ) = x ^ { 1 } \in R ^ { n }$ ; confidence 0.985
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063980/m06398045.png ; $\| x _ { k } - x ^ { * } \| \leq C q ^ { k }$ ; confidence 0.985
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003071.png ; $I _ { p } ( L )$ ; confidence 0.985
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a011/a011650/a011650408.png ; $\Omega _ { p } ^ { * } = \Omega _ { p } \cup \{ F _ { i } ^ { * } : F _ { i } \in \Omega _ { f } \}$ ; confidence 0.985
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062160/m062160147.png ; $\kappa = \mu ^ { * }$ ; confidence 0.985
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.985
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.984
 
# 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.984
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.984
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052660/i05266017.png ; $0 \in R ^ { 3 }$ ; confidence 0.983
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020087.png ; $[ \mathfrak { g } ^ { \alpha } , \mathfrak { g } ^ { \beta } ] \subset \mathfrak { g } ^ { \alpha + \beta }$ ; confidence 0.981
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.981
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h110/h110200/h11020026.png ; $( F , \tau _ { K , G } ( F ) )$ ; confidence 0.980
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087520/s08752010.png ; $g : ( Y , B ) \rightarrow ( Z , C )$ ; confidence 0.980
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120160/c12016016.png ; $j = 1 : n$ ; confidence 0.980
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080640/r08064034.png ; $y _ { t } = A x _ { t } + \epsilon _ { t }$ ; confidence 0.979
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360189.png ; $\alpha _ { 2 } ( \alpha ; \omega )$ ; confidence 0.979
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.979
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.978
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p075/p075400/p07540018.png ; $F \subset G$ ; confidence 0.978
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s083/s083470/s08347010.png ; $D ^ { - 1 } \in \pi$ ; confidence 0.978
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k120/k120030/k12003040.png ; $E = \emptyset$ ; confidence 0.977
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z13002034.png ; $F , F _ { \tau } \subset P$ ; confidence 0.977
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.976
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.976
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067640/n06764043.png ; $\Omega _ { X }$ ; confidence 0.976
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093360/t0933606.png ; $t \in [ 0,2 \pi q ]$ ; confidence 0.975
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g044/g044660/g04466018.png ; $A = \sum _ { i \geq 0 } A$ ; confidence 0.975
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q120/q120050/q12005015.png ; $D ^ { 2 } f ( x ^ { * } ) = D ( D ^ { T } f ( x ^ { * } ) )$ ; confidence 0.975
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036840/e03684024.png ; $C _ { n } = C _ { 1 } + \frac { 1 } { 4 } C _ { 1 } + \ldots + \frac { 1 } { 4 ^ { n - 1 } } C _ { 1 }$ ; confidence 0.974
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021650/c02165039.png ; $E X ^ { 2 n } < \infty$ ; confidence 0.974
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h046/h046420/h04642087.png ; $L _ { \infty } ( \hat { G } )$ ; confidence 0.973
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f120/f120230/f120230136.png ; $J : T M \rightarrow T M$ ; confidence 0.972
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093170/t0931709.png ; $U , V \subset W$ ; confidence 0.972
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m065/m065560/m06556075.png ; $\frac { | z | ^ { p } } { ( 1 + | z | ) ^ { 2 p } } \leq | f ( z ) | \leq \frac { | z | ^ { p } } { ( 1 - | z | ) ^ { 2 p } }$ ; confidence 0.972
 
# 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047940/h047940245.png ; $\Delta _ { q }$ ; confidence 0.971
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025350/c025350101.png ; $E _ { 1 } \rightarrow E _ { 1 }$ ; confidence 0.970
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c024/c024330/c02433093.png ; $L , R , S$ ; confidence 0.970
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110080/a11008031.png ; $R ( s ) = | \frac { r ( s ) - \sqrt { 1 - s ^ { 2 } } } { r ( s ) + \sqrt { 1 - s ^ { 2 } } } | , \quad s \in [ - 1,1 ]$ ; confidence 0.969
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087100/s08710024.png ; $\tau ( x ) \cup T ( A , X )$ ; confidence 0.968
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.968
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055180/k05518015.png ; $z ^ { 2 } y ^ { \prime \prime } + z y ^ { \prime } - ( i z ^ { 2 } + \nu ^ { 2 } ) y = 0$ ; confidence 0.967
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w130/w130060/w13006030.png ; $V _ { g , n }$ ; confidence 0.966
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097720/w0977202.png ; $f ( x ) = \alpha _ { n } x ^ { n } + \ldots + \alpha _ { 1 } x$ ; confidence 0.966
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466044.png ; $t \in [ - 1,1 ]$ ; confidence 0.966
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086960/s08696030.png ; $\| x _ { 0 } \| \leq \delta$ ; confidence 0.966
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043020/g043020187.png ; $\delta : G ^ { \prime } \rightarrow W$ ; confidence 0.965
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.965
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130010/b13001099.png ; $\left( \begin{array} { l l } { A } & { B } \\ { C } & { D } \end{array} \right)$ ; confidence 0.965
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r082/r082320/r08232050.png ; $\operatorname { lim } _ { r \rightarrow 1 } \int _ { E } | f ( r e ^ { i \theta } ) | ^ { \delta } d \theta = \int _ { E } | f ( e ^ { i \theta } ) | ^ { \delta } d \theta$ ; confidence 0.964
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r110/r110080/r11008062.png ; $\lambda _ { j , k }$ ; confidence 0.964
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d120/d120110/d12011025.png ; $\| - x \| = \| x \| , \| x + y \| \leq \| x \| + \| y \|$ ; confidence 0.963
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e035/e035550/e03555028.png ; $y ^ { 2 } = x ^ { 3 } - g x - g$ ; confidence 0.962
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.962
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240300.png ; $F ^ { \prime } , F ^ { \prime \prime } \in S$ ; confidence 0.961
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l058/l058140/l0581405.png ; $s = \int _ { a } ^ { b } \sqrt { 1 + [ f ^ { \prime } ( x ) ] ^ { 2 } } d x$ ; confidence 0.961
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120180/e12018018.png ; $\operatorname { sign } ( M ) = \int _ { M } L ( M , g ) - \eta _ { D } ( 0 )$ ; confidence 0.958
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086810/s086810108.png ; $W _ { p } ^ { m } ( I ^ { d } )$ ; confidence 0.958
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023094.png ; $\sigma ^ { k } : M \rightarrow E ^ { k }$ ; confidence 0.958
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o110/o110030/o11003037.png ; $K _ { \omega }$ ; confidence 0.958
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g120/g120040/g120040165.png ; $p _ { m } ( t , x ; \tau , \xi ) = 0$ ; confidence 0.957
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110210.png ; $G = G ^ { \sigma }$ ; confidence 0.956
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017550/b01755034.png ; $| \mu _ { k } ( 0 ) = 1 ; \mu _ { i } ( 0 ) = 0 , i \neq k \}$ ; confidence 0.955
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110490/a1104901.png ; $D = d / d t$ ; confidence 0.954
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.953
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l060/l060220/l0602207.png ; $\in \Theta$ ; confidence 0.953
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120300/b12030013.png ; $q \in Z ^ { N }$ ; confidence 0.950
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055820/k0558203.png ; $\square ^ { 1 } S _ { 2 } ( i )$ ; confidence 0.950
 
# 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949
 
# 14 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.948
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.948
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s110/s110280/s11028060.png ; $\sum _ { i = 1 } ^ { r } \alpha _ { i } \theta ( b _ { i } ) \in Z [ G ]$ ; confidence 0.947
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130040/i1300404.png ; $\sum _ { k = 1 } ^ { \infty } b _ { k } \operatorname { sin } k x$ ; confidence 0.946
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d032/d032890/d03289066.png ; $s = - 2 \nu - \delta$ ; confidence 0.945
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c02485065.png ; $A . B$ ; confidence 0.944
 
# 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063270/m06327013.png ; $( X , \mathfrak { A } , \mu )$ ; confidence 0.941
 
# 7 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130220/b13022030.png ; $L _ { p } ( T )$ ; confidence 0.938
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o070/o070290/o07029017.png ; $\Delta = \alpha _ { 2 } c ( b ) - \beta _ { 2 } s ( b ) \neq 0$ ; confidence 0.937
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087360/s087360182.png ; $F ( x ; \alpha )$ ; confidence 0.936
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040850/f040850122.png ; $A \rightarrow w$ ; confidence 0.934
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h048/h048310/h04831095.png ; $\alpha ( x , t )$ ; confidence 0.931
 
# 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110490/b1104909.png ; $P _ { 1 }$ ; confidence 0.928
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m065/m065300/m06530022.png ; $\otimes _ { i = 1 } ^ { n } E _ { i } \rightarrow F$ ; confidence 0.927
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f110/f110160/f110160161.png ; $\mathfrak { A } \sim _ { l } \mathfrak { B }$ ; confidence 0.922
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i051/i051360/i0513609.png ; $\int f _ { 1 } ( x ) d x \quad \text { and } \quad \int f _ { 2 } ( x ) d x$ ; confidence 0.921
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l110/l110160/l11016049.png ; $n ^ { O ( n ) } M ^ { O ( 1 ) }$ ; confidence 0.921
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a120/a120180/a12018016.png ; $\lambda \neq 0,1$ ; confidence 0.921
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066900/n06690095.png ; $\rightarrow H ^ { 1 } ( G , B ) \rightarrow H ^ { 1 } ( G , A )$ ; confidence 0.920
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110130/c11013026.png ; $f \in C ^ { k }$ ; confidence 0.918
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f038/f038220/f0382203.png ; $K _ { X } ^ { - 1 }$ ; confidence 0.918
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120270/b12027050.png ; $U ( t ) = \sum _ { 1 } ^ { \infty } P ( S _ { k } \leq t ) = \sum _ { 1 } ^ { \infty } F ^ { ( k ) } ( t )$ ; confidence 0.917
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747053.png ; $\Pi ^ { \prime \prime }$ ; confidence 0.914
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057980/l05798044.png ; $H ^ { p , q } ( X )$ ; confidence 0.913
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o068/o068530/o06853056.png ; $R ( x , u ) = \phi _ { x } f ( x , u ) - f ^ { 0 } ( x , u )$ ; confidence 0.912
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/v/v096/v096770/v0967704.png ; $F : \Omega \times R ^ { n } \times R ^ { n } \times S ^ { n } \rightarrow R$ ; confidence 0.909
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i120/i120050/i12005098.png ; $e ^ { s } ( T , V )$ ; confidence 0.909
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e130/e130070/e1300704.png ; $S = o ( \# A )$ ; confidence 0.908
 
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.908
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002094.png ; $f ^ { * } N = O _ { X } \otimes _ { f } - 1 _ { O _ { Y } } f ^ { - 1 } N$ ; confidence 0.906
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.905
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043290/g0432908.png ; $\alpha _ { k } = \frac { \Gamma ( \gamma + k + 1 ) } { \Gamma ( \gamma + 1 ) } \sqrt { \frac { \Gamma ( \alpha _ { 1 } + 1 ) \Gamma ( \alpha _ { 2 } + 1 ) } { \Gamma ( \alpha _ { 1 } + k + 1 ) \Gamma ( \alpha _ { 2 } + k + 1 ) } }$ ; confidence 0.904
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120120/e12012065.png ; $\propto \| \Sigma \| ^ { - 1 / 2 } [ \nu + ( y - \mu ) ^ { T } \Sigma ^ { - 1 } ( y - \mu ) ] ^ { - ( \nu + p ) / 2 }$ ; confidence 0.904
 
# 8 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204033.png ; $h ^ { * } ( pt )$ ; confidence 0.903
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i050/i050730/i05073087.png ; $\chi _ { \pi } ( g ) = \sum _ { \{ \delta : \delta y \in H \delta \} } \chi _ { \rho } ( \delta g \delta ^ { - 1 } )$ ; confidence 0.903
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067940/n06794014.png ; $N > 5$ ; confidence 0.901
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w12007015.png ; $q$ ; confidence 0.899
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r082/r082430/r0824307.png ; $I ( A ) = \operatorname { Ker } ( \epsilon )$ ; confidence 0.898
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c020740331.png ; $\operatorname { Set } ( E , V ( A ) ) \cong \operatorname { Ring } ( F E , A )$ ; confidence 0.896
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729042.png ; $\partial M _ { A } \subset X \subset M _ { A }$ ; confidence 0.891
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p072/p072370/p07237060.png ; $\overline { \Omega } _ { k } \subset \Omega _ { k + 1 }$ ; confidence 0.887
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080180/r08018011.png ; $C _ { c } ^ { * } ( R , S )$ ; confidence 0.886
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s130/s130510/s13051051.png ; $P _ { n } = \{ u \in V : n = \operatorname { min } m , F ( u ) \subseteq \cup _ { i < m } N _ { i } \}$ ; confidence 0.874
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b11033038.png ; $P ^ { \prime }$ ; confidence 0.871
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022960/c02296023.png ; $[ X , K ] \leftarrow [ Y , K ] \leftarrow [ Y / i ( X ) , K ] \leftarrow [ C _ { 1 } , K ]$ ; confidence 0.871
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110690/b11069080.png ; $M _ { A g }$ ; confidence 0.870
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073700/p073700205.png ; $l _ { n } = \# \{ s \in S : d ( s ) = n \}$ ; confidence 0.868
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095430/u09543074.png ; $U _ { \partial } = \{ z = x + i y \in C ^ { n } : | x - x ^ { 0 } | < r , \square y = y ^ { 0 } \}$ ; confidence 0.867
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062760/m0627602.png ; $\frac { d ^ { 2 } u } { d z ^ { 2 } } + ( \alpha + 16 q \operatorname { cos } 2 z ) u = 0 , \quad z \in R$ ; confidence 0.865
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055480/k05548036.png ; $\| g _ { \alpha \beta } \|$ ; confidence 0.862
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063920/m063920117.png ; $\int \int K d S \leq 2 \pi ( \chi - k )$ ; confidence 0.858
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036910/e03691052.png ; $z = \operatorname { ln } \alpha = \operatorname { ln } | \alpha | + i \operatorname { Arg } \alpha$ ; confidence 0.857
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062280/m06228020.png ; $[ X , K ] \leftarrow [ Y , K ] \leftarrow [ C _ { f } , K ]$ ; confidence 0.850
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120210/c120210117.png ; $\Lambda _ { n } ( \theta ) - h ^ { \prime } \Delta _ { n } ( \theta ) \rightarrow - \frac { 1 } { 2 } h ^ { \prime } \Gamma ( \theta ) h$ ; confidence 0.843
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f041/f041950/f04195012.png ; $T ( r , f )$ ; confidence 0.839
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059250/l05925090.png ; $v \in ( 1 - t ) V$ ; confidence 0.837
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.834
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a014/a014140/a014140103.png ; $\overline { \psi } ( s , \alpha ) = s$ ; confidence 0.830
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/o/o070/o070340/o07034097.png ; $y = K _ { n } ( x )$ ; confidence 0.826
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063090/m06309023.png ; $r _ { 0 } ^ { * } + \sum _ { j = 1 } ^ { q } \beta _ { j } r _ { j } ^ { * } = \sigma ^ { 2 }$ ; confidence 0.822
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s130/s130040/s13004069.png ; $X ^ { * } = \Gamma \backslash D ^ { * }$ ; confidence 0.822
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.822
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059140/l0591406.png ; $T _ { x _ { 1 } } ( M ) \rightarrow T _ { x _ { 0 } } ( M )$ ; confidence 0.821
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c026/c026460/c02646028.png ; $x _ { k + 1 } = x _ { k } - \alpha _ { k } p _ { k }$ ; confidence 0.819
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022110/c02211060.png ; $\xi _ { 1 } ^ { 2 } + \ldots + \xi _ { k - m - 1 } ^ { 2 } + \mu _ { 1 } \xi _ { k - m } ^ { 2 } + \ldots + \mu _ { m } \xi _ { k - 1 } ^ { 2 }$ ; confidence 0.818
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057110/l0571105.png ; $\{ \phi _ { n } \} _ { n = 1 } ^ { \infty }$ ; confidence 0.817
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r081/r081940/r08194033.png ; $G ( K ) \rightarrow G ( Q )$ ; confidence 0.817
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.817
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087400/s087400105.png ; $\in \Theta _ { 0 } \beta _ { n } ( \theta ) \leq \alpha$ ; confidence 0.815
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110120/b11012011.png ; $\emptyset , X \in L$ ; confidence 0.814
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f120/f120090/f12009069.png ; $F \mu$ ; confidence 0.813
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738071.png ; $P \{ | \frac { K _ { n } } { n } - \frac { 1 } { 2 } | < \frac { 1 } { 4 } \} = 1 - 2 P \{ \frac { K _ { n } } { n } < \frac { 1 } { 4 } \} \approx 1 - \frac { 4 } { \pi } \frac { \pi } { 6 } = \frac { 1 } { 3 }$ ; confidence 0.812
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.811
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r081/r081160/r08116074.png ; $t + \tau$ ; confidence 0.811
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632017.png ; $j _ { X } : F ^ { \prime } \rightarrow F$ ; confidence 0.809
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t094/t094010/t09401026.png ; $( t _ { 2 } , x _ { 2 } ^ { 1 } , \ldots , x _ { 2 } ^ { n } )$ ; confidence 0.805
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.805
 
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p072530183.png ; $I ( G _ { p } )$ ; confidence 0.801
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020940/c02094024.png ; $\operatorname { det } X ( \theta , \tau ) = \operatorname { exp } \int ^ { \theta } \operatorname { tr } A ( \xi ) d \xi$ ; confidence 0.801
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.800
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.799
 
# 7 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l058/l058360/l058360142.png ; $P _ { 8 }$ ; confidence 0.799
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h046/h046300/h04630075.png ; $M _ { 0 } \times I$ ; confidence 0.798
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s091/s091080/s09108054.png ; $\sum _ { n < x } f ( n ) = R ( x ) + O ( x ^ { \{ ( \alpha + 1 ) ( 2 \eta - 1 ) / ( 2 \eta + 1 ) \} + \epsilon } )$ ; confidence 0.795
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080620/r08062044.png ; $X = \| x _ { i } \|$ ; confidence 0.794
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h120/h120020/h1200207.png ; $\hat { \phi } ( j ) = \alpha$ ; confidence 0.791
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b015/b015210/b01521049.png ; $\alpha \in S _ { \alpha }$ ; confidence 0.784
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087550/s08755022.png ; $\alpha \leq p b$ ; confidence 0.784
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120310/c1203104.png ; $I _ { d } ( f ) = \int _ { [ 0,1 ] ^ { d } } f ( x ) d x$ ; confidence 0.783
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066590/n06659068.png ; $( \underline { \theta } , \overline { \theta } )$ ; confidence 0.783
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066490/n06649013.png ; $N ( r , \alpha , f ) = \int _ { 0 } ^ { r } \frac { n ( t , \alpha , f ) - n ( 0 , \alpha , f ) } { t } d t + n ( 0 , \alpha , f ) \operatorname { ln } r$ ; confidence 0.780
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t130/t130150/t13015064.png ; $K ( L ^ { 2 } ( S ) )$ ; confidence 0.779
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s087420100.png ; $( 1 , \dots , k )$ ; confidence 0.776
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014089.png ; $Q _ { 0 } = \{ 1 , \dots , n \}$ ; confidence 0.774
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r130/r130160/r13016037.png ; $c ^ { m } ( \Omega )$ ; confidence 0.773
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i110/i110060/i11006083.png ; $H \equiv L \circ K$ ; confidence 0.769
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.766
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086700/s08670044.png ; $e ^ { - k - s | / \mu } / \mu$ ; confidence 0.763
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c027/c027480/c027480106.png ; $\Sigma _ { S }$ ; confidence 0.760
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110430/c11043040.png ; $m ( S ) ^ { 2 } > ( 2 k + 1 ) ( n - k ) + \frac { k ( k + 1 ) } { 2 } - \frac { 2 ^ { k } n ^ { 2 k + 1 } } { m ( 2 k ) ! \left( \begin{array} { l } { n } \\ { k } \end{array} \right) }$ ; confidence 0.753
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074660/p0746603.png ; $\left. \begin{array} { l l } { L - k E } & { M - k F } \\ { M - k F } & { N - k G } \end{array} \right| = 0$ ; confidence 0.746
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f041/f041940/f041940175.png ; $S \subset T$ ; confidence 0.743
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g045/g045370/g0453708.png ; $f ( z ) = e ^ { ( \alpha - i b ) z ^ { \rho } }$ ; confidence 0.743
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r077/r077740/r0777407.png ; $F ( u ) = - \lambda ( u - \frac { u ^ { 2 } } { 3 } ) , \quad \lambda =$ ; confidence 0.743
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036400/e03640030.png ; $2 - 2 g - l$ ; confidence 0.741
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.738
 
# 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.737
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b130200163.png ; $\operatorname { lim } \mathfrak { g } ^ { \alpha } = 1$ ; confidence 0.737
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s110/s110240/s11024048.png ; $k < k _ { c } = \sqrt { - ( \frac { \partial ^ { 2 } f } { \partial c ^ { 2 } } ) _ { T , c = c } / K }$ ; confidence 0.732
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m120/m120030/m12003057.png ; $\varepsilon ^ { * } ( M A D ) = 1 / 2$ ; confidence 0.731
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120020/b12002039.png ; $\beta _ { n , F } = f \circ Q n ^ { 1 / 2 } ( Q _ { n } - Q )$ ; confidence 0.727
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e037/e037030/e03703035.png ; $H ^ { 2 } ( R , I )$ ; confidence 0.726
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p072/p072530/p07253081.png ; $d f ^ { j }$ ; confidence 0.726
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057720/l05772024.png ; $E ( \mu _ { n } / n )$ ; confidence 0.725
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s091/s091670/s09167062.png ; $S ( B _ { n } ^ { m } )$ ; confidence 0.719
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r077/r077380/r07738036.png ; $u _ { 0 } = 1$ ; confidence 0.716
 
# 41 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002056.png ; $D x$ ; confidence 0.713
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t094300134.png ; $\operatorname { Fix } ( T ) \subset \mathfrak { R }$ ; confidence 0.710
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $A / \eta$ ; confidence 0.702
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a011/a011210/a011210114.png ; $w ^ { \prime \prime } ( z ) = z w ( z )$ ; confidence 0.701
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045015.png ; $\int [ 0 , t ] X \circ d X = ( 1 / 2 ) X ^ { 2 } ( t )$ ; confidence 0.698
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s091/s091140/s09114035.png ; $s _ { n } \rightarrow s$ ; confidence 0.696
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h046/h046280/h04628092.png ; $\rho _ { 1 } ^ { - 1 } , \ldots , \rho _ { k } ^ { - 1 }$ ; confidence 0.691
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020890/c020890133.png ; $W ( \zeta _ { 0 } ; \epsilon , \alpha _ { 0 } ) = \frac { 1 } { 2 \pi i } [ \int _ { \Gamma } \frac { e ^ { i \psi } d \Phi ( s ) } { \zeta - z } - \int _ { \Gamma _ { \epsilon } } \frac { e ^ { i \psi } d \Phi ( s ) } { \zeta - \zeta _ { 0 } } ]$ ; confidence 0.690
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c023/c023380/c02338044.png ; $x 0$ ; confidence 0.689
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110660/a11066057.png ; $1 ^ { 1 } = 1 ^ { 1 } ( N )$ ; confidence 0.689
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c0254401.png ; $\int _ { \alpha } ^ { b } p ( t ) \operatorname { ln } | t - t _ { 0 } | d t = f ( t _ { 0 } ) + C$ ; confidence 0.687
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i050230430.png ; $l = 2,3 , \dots$ ; confidence 0.683
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e12023072.png ; $E ^ { \alpha } ( L ) ( \sigma ^ { 2 } ( x ) ) = 0$ ; confidence 0.682
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047440/h04744011.png ; $\lambda _ { 4 n }$ ; confidence 0.681
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r082/r082200/r082200179.png ; $\rho _ { M _ { 1 } } ( X , Y ) \geq \rho _ { M _ { 2 } } ( \phi ( X ) , \phi ( Y ) )$ ; confidence 0.675
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073740/p07374027.png ; $( \xi ) _ { R }$ ; confidence 0.672
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021760/c02176012.png ; $X = \frac { 1 } { n } \sum _ { j = 1 } ^ { n } X$ ; confidence 0.670
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237063.png ; $Q / Z$ ; confidence 0.664
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074720/p07472020.png ; $\Gamma _ { F }$ ; confidence 0.663
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.662
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t092/t092600/t09260017.png ; $\theta ( z + \tau ) = \operatorname { exp } ( - 2 \pi i k z ) . \theta ( z )$ ; confidence 0.660
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $x \in K$ ; confidence 0.658
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090270/s09027020.png ; $L ^ { * } L X ( t ) = 0 , \quad \alpha < t < b$ ; confidence 0.644
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076800/q07680042.png ; $\nu _ { 1 } ^ { S }$ ; confidence 0.641
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076320/q07632096.png ; $( T _ { s , t } ) _ { s \leq t }$ ; confidence 0.639
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k05585059.png ; $W _ { \alpha } ( B \supset C ) = T \leftrightarrows$ ; confidence 0.637
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c023/c023050/c02305085.png ; $cd _ { l } ( Spec A )$ ; confidence 0.637
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l130/l130010/l13001029.png ; $S _ { N } ( f ; x ) = \sum _ { k | \leq N } \hat { f } ( k ) e ^ { i k x }$ ; confidence 0.633
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c027/c027640/c02764016.png ; $( \phi _ { 1 } , \dots , \phi _ { n } )$ ; confidence 0.631
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810381.png ; $C = \text { int } \Gamma$ ; confidence 0.630
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076470/q07647062.png ; $S _ { 2 m + 1 } ^ { m }$ ; confidence 0.627
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450404.png ; $[ V ] = \operatorname { limsup } ( \operatorname { log } d _ { V } ( n ) \operatorname { log } ( n ) ^ { - 1 } )$ ; confidence 0.618
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002010.png ; $l _ { 1 } ( P , Q )$ ; confidence 0.611
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a012/a012930/a01293027.png ; $L u \equiv \frac { \partial u } { \partial t } - \frac { \partial ^ { 2 } u } { \partial x ^ { 2 } } = 0$ ; confidence 0.607
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036850/e03685016.png ; $\overline { \Pi } _ { k } \subset \Pi _ { k + 1 }$ ; confidence 0.606
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780212.png ; $x \in H ^ { n } ( B U ; Q )$ ; confidence 0.605
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085580/s085580113.png ; $K = \nu - \nu$ ; confidence 0.596
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778056.png ; $w \in H ^ { * * } ( BO ; Z _ { 2 } )$ ; confidence 0.594
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085380/s08538041.png ; $s _ { i } : X _ { n } \rightarrow X _ { n } + 1$ ; confidence 0.593
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062330/m06233085.png ; $\{ 1,2 , \dots \}$ ; confidence 0.593
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590228.png ; $R = \{ R _ { 1 } > 0 , \dots , R _ { n } > 0 \}$ ; confidence 0.591
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110330/b1103309.png ; $\Omega = S ^ { D } = \{ \omega _ { i } \} _ { i \in D }$ ; confidence 0.591
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062330/m06233032.png ; $\chi ( 0 , h )$ ; confidence 0.590
 
# 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110330/c1103302.png ; $DT ( S )$ ; confidence 0.583
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043810/g043810332.png ; $E _ { t t } - E _ { X x } = \delta ( x , t )$ ; confidence 0.582
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090450/s09045017.png ; $X ( t ) = ( X ^ { 1 } ( t ) , \ldots , X ^ { d } ( t ) )$ ; confidence 0.576
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t092/t092810/t092810186.png ; $B s$ ; confidence 0.576
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d120/d120140/d1201408.png ; $D _ { 1 } ( x , \alpha ) = x$ ; confidence 0.569
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.569
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161076.png ; $\alpha _ { 20 } ( x _ { 1 } , x _ { 2 } ) \frac { \partial ^ { 2 } u } { \partial x _ { 1 } ^ { 2 } } + \alpha _ { 11 } ( x _ { 1 } , x _ { 2 } ) \frac { \partial ^ { 2 } u } { \partial x _ { 1 } \partial x _ { 2 } } +$ ; confidence 0.568
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c026/c026040/c02604025.png ; $A _ { n } : E _ { n } \rightarrow F _ { n }$ ; confidence 0.561
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020740/c0207409.png ; <font color="red">Missing</font> ; confidence 0.560
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066790/n066790104.png ; $\sigma = ( \sigma _ { 1 } , \ldots , \sigma _ { n } ) , \quad | \sigma | = \sigma _ { 1 } + \ldots + \sigma _ { n } \leq k$ ; confidence 0.560
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t110/t110020/t11002049.png ; $e ^ { \prime }$ ; confidence 0.559
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.554
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022860/c02286015.png ; $b _ { i + 1 } \ldots b _ { j }$ ; confidence 0.553
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840121.png ; $P \{ T _ { j } \in ( u , u + d u ) \} = \frac { 1 } { \alpha u } P \{ X ( u ) \in ( 0 , d u ) \}$ ; confidence 0.548
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.547
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110520/b1105203.png ; $\sum _ { n = 1 } ^ { \infty } l _ { k } ^ { 2 } \operatorname { exp } ( l _ { 1 } + \ldots + l _ { n } ) = \infty$ ; confidence 0.545
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024048.png ; $\dot { x } ( t ) = f ( t , x _ { t } )$ ; confidence 0.543
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p072/p072710/p072710140.png ; $\sigma A = x ^ { * } \partial \sigma ^ { * } \operatorname { lk } _ { A } \sigma + A _ { 1 }$ ; confidence 0.541
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120110/w120110137.png ; $( a _ { m } b ) ( x , \xi ) = r _ { N } ( \alpha , b ) +$ ; confidence 0.539
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130300/b130300113.png ; $A$ ; confidence 0.535
 
# 33 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025450/c02545035.png ; $T ^ { * }$ ; confidence 0.527
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s120/s120040/s120040117.png ; $1 , \ldots , | \lambda |$ ; confidence 0.522
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973508.png ; $A = N \oplus s$ ; confidence 0.521
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t120/t120130/t12013055.png ; $M = M \Lambda ^ { t }$ ; confidence 0.505
 
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h120/h120130/h12013052.png ; <font color="red">Missing</font> ; confidence 0.499
 
# 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052010/i0520106.png ; $D _ { 1 } , \ldots , D _ { n }$ ; confidence 0.499
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k130/k130010/k13001035.png ; $f ( \vec { D } ( A ) ) = ( - A ^ { 3 } ) ^ { - \operatorname { Tait } ( \vec { D } ) } \langle D \rangle$ ; confidence 0.497
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052000/i05200039.png ; $\Delta ^ { i }$ ; confidence 0.491
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d032/d032450/d032450327.png ; $< \operatorname { Gdim } L < 1 +$ ; confidence 0.485
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b016/b016170/b0161704.png ; $| w | < r _ { 0 }$ ; confidence 0.478
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022040/c02204098.png ; $\Omega _ { 2 n } ^ { 2 } \rightarrow Z$ ; confidence 0.476
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059350/l059350157.png ; $x ( 0 ) \in R ^ { n }$ ; confidence 0.473
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019018.png ; $M _ { n } = [ m _ { i } + j ] _ { i , j } ^ { n } = 0$ ; confidence 0.469
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130200/b13020073.png ; $9 -$ ; confidence 0.467
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a014/a014190/a01419058.png ; $\phi ( t ) \equiv$ ; confidence 0.467
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095290/u09529039.png ; $t \rightarrow t + w z$ ; confidence 0.466
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090170/s09017055.png ; $\zeta = \{ Z _ { 1 } , \dots , Z _ { m } \}$ ; confidence 0.466
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850182.png ; $m = p _ { 1 } ^ { \alpha _ { 1 } } \ldots p _ { s } ^ { \alpha _ { S } }$ ; confidence 0.462
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057780/l057780185.png ; $\alpha _ { 2 } ( t ) = t$ ; confidence 0.461
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074530/p07453019.png ; $\phi ( n ) = n ( 1 - \frac { 1 } { p _ { 1 } } ) \dots ( 1 - \frac { 1 } { p _ { k } } )$ ; confidence 0.456
 
# 11 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a120/a120050/a120050110.png ; $M$ ; confidence 0.455
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017330/b01733030.png ; $f ( e ^ { i \theta } ) = \operatorname { lim } _ { r \rightarrow 1 - 0 } f ( r e ^ { i \theta } )$ ; confidence 0.451
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085210/s08521029.png ; $q ^ { l } ( q ^ { 2 } - 1 ) \dots ( q ^ { 2 l } - 1 ) / d$ ; confidence 0.450
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040210/f04021064.png ; $\phi ( \mathfrak { A } )$ ; confidence 0.445
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c027/c027000/c02700011.png ; $\frac { F _ { n } ( - x ) } { \Phi ( - x ) } = \operatorname { exp } \{ - \frac { x ^ { 3 } } { \sqrt { n } } \lambda ( - \frac { x } { \sqrt { n } } ) \} [ 1 + O ( \frac { x } { \sqrt { n } } ) ]$ ; confidence 0.444
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850261.png ; $\partial z / \partial y = f ^ { \prime } ( x , y )$ ; confidence 0.440
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d110/d110080/d11008067.png ; $= d ( w ^ { H _ { i } } | v ^ { H _ { i } } ) \cdot e ( w ^ { H _ { i } } | v ^ { H _ { i } } ) . f ( w ^ { H _ { i } } | v ^ { H _ { i } } )$ ; confidence 0.435
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130090/i13009013.png ; $k = k _ { 0 } \subset k _ { 1 } \subset \ldots \subset k _ { n } \subset \ldots \subset K = \cup _ { n \geq 0 } k _ { k }$ ; confidence 0.434
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p072/p072850/p072850130.png ; $X \subset M ^ { n }$ ; confidence 0.432
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e036/e036960/e036960148.png ; $GL ( 1 , K ) = K ^ { * }$ ; confidence 0.425
 
# 7 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a012/a012330/a01233050.png ; $x <$ ; confidence 0.424
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c130/c130100/c13010015.png ; $f = \sum _ { i = 1 } ^ { n } \alpha _ { i } \chi _ { i }$ ; confidence 0.422
 
# 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290181.png ; $LOC$ ; confidence 0.417
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m110/m110210/m11021064.png ; $f \in L ^ { p } ( R ^ { n } ) \rightarrow \int _ { R ^ { n } } | x - y | ^ { - \lambda } f ( y ) d y \in L ^ { p ^ { \prime } } ( R ^ { n } )$ ; confidence 0.413
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076840/q076840146.png ; $f ( \lambda ) = E _ { e } ^ { i \lambda \xi } , \quad f _ { + } ( \lambda ) = e ^ { i \lambda \tau ^ { s } } , \quad f - ( \lambda ) = e ^ { - i \lambda \tau ^ { e } }$ ; confidence 0.410
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100221.png ; $R _ { R } ( X ) = \operatorname { max } \{ d ( X , Y ) : Y \in B _ { n } \}$ ; confidence 0.410
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025180/c02518096.png ; $T _ { s ( x ) } ( E ) = \Delta _ { s ( x ) } \oplus T _ { s ( x ) } ( F _ { x } )$ ; confidence 0.402
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a011/a011820/a011820111.png ; $\phi ( \mathfrak { A } , \alpha _ { 1 } , \ldots , \alpha _ { l } , S , \mathfrak { M } ^ { * } )$ ; confidence 0.402
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095700/u09570015.png ; $D ( D , G - ) : C \rightarrow$ ; confidence 0.398
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063790/m06379014.png ; $\psi _ { \nu } ( x , \mu ) = \phi _ { \nu } ( \mu ) e ^ { - x / \nu }$ ; confidence 0.394
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093570/t0935701.png ; $x = \pm \alpha \operatorname { ln } \frac { \alpha + \sqrt { \alpha ^ { 2 } - y ^ { 2 } } } { y } - \sqrt { \alpha ^ { 2 } - y ^ { 2 } }$ ; confidence 0.391
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778021.png ; $w ^ { \prime }$ ; confidence 0.380
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161086.png ; $\mu , \nu \in Z ^ { n }$ ; confidence 0.377
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120080/c12008028.png ; $A _ { j } A _ { k l } = A _ { k l } A _ { j }$ ; confidence 0.372
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l130/l130060/l13006070.png ; $\frac { 1 } { 4 n } \operatorname { max } \{ \alpha _ { i } : 0 \leq i \leq t \} \leq \Delta _ { 2 } \leq \frac { 1 } { 4 n } ( \sum _ { i = 0 } ^ { t } \alpha _ { i } + 2 )$ ; confidence 0.363
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/z/z130/z130010/z13001018.png ; $| z | > \operatorname { max } \{ R _ { 1 } , R _ { 2 } \}$ ; confidence 0.355
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097510/w09751010.png ; $m _ { k } = \dot { k }$ ; confidence 0.352
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067520/n067520242.png ; $\overline { B } = S ^ { - 1 } B = ( \overline { b } _ { 1 } , \dots , \overline { b } _ { m } )$ ; confidence 0.347
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087690/s0876903.png ; $f _ { h } ( t ) = \frac { 1 } { h } \int _ { t - k / 2 } ^ { t + k / 2 } f ( u ) d u = \frac { 1 } { h } \int _ { - k / 2 } ^ { k / 2 } f ( t + v ) d v$ ; confidence 0.345
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025720/c02572034.png ; $y _ { 0 } = A _ { x }$ ; confidence 0.344
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057620/l0576208.png ; $\alpha _ { i j } \equiv i + j - 1 ( \operatorname { mod } n ) , \quad i , j = 1 , \dots , n$ ; confidence 0.342
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t093/t093150/t093150743.png ; $\left. \begin{array} { c c c } { B _ { i } } & { \stackrel { h _ { i } } { \rightarrow } } & { A _ { i } } \\ { g _ { i } \downarrow } & { \square } & { \downarrow f _ { i } } \\ { B } & { \vec { f } } & { A } \end{array} \right.$ ; confidence 0.342
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.326
 
# 7 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130240/a130240141.png ; $c$ ; confidence 0.324
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.321
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k110/k110030/k11003029.png ; $\frac { x ^ { \rho + 1 } f ( x ) } { \int _ { x } ^ { x } t ^ { \sigma } f ( t ) d t } \rightarrow \sigma + \rho + 1 \quad ( x \rightarrow \infty )$ ; confidence 0.320
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a120/a120280/a12028072.png ; $\rho \otimes x ( A ) = \langle A x , \rho \rangle$ ; confidence 0.317
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076830/q07683071.png ; $p _ { m } = ( \sum _ { j = 0 } ^ { m } A _ { j } ) ^ { - 1 }$ ; confidence 0.310
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080850/r08085028.png ; $e \omega ^ { r } f$ ; confidence 0.300
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.300
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t120/t120080/t1200806.png ; $F ( x , y ) = a p _ { 1 } ^ { z _ { 1 } } \ldots p _ { s } ^ { z _ { S } }$ ; confidence 0.294
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g044/g044680/g04468049.png ; $t \circ \in E$ ; confidence 0.290
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086480/s0864804.png ; $S ^ { ( n ) } ( t _ { 1 } , \ldots , t _ { n } ) =$ ; confidence 0.287
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i050/i050580/i05058027.png ; $A _ { k _ { 1 } } , \ldots , A _ { k _ { n } }$ ; confidence 0.278
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a012/a012410/a01241063.png ; $s = s ^ { * } \cup ( s \backslash s ^ { * } ) ^ { * } U \ldots$ ; confidence 0.271
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087780/s08778015.png ; $w = \{ \dot { i } _ { 1 } , \ldots , i _ { k } \}$ ; confidence 0.265
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.262
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025440/c02544091.png ; $\xi _ { j } ^ { k } \in D _ { h } , h = 1 , \dots , m ; m = 1,2$ ; confidence 0.258
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g044/g044350/g044350101.png ; $D \Re \subset M$ ; confidence 0.255
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e035/e035520/e03552017.png ; $k _ { 0 } \sum _ { i = 1 } ^ { n } \lambda _ { i } ^ { 2 } \leq Q ( \lambda _ { 1 } , \ldots , \lambda _ { n } ) \leq k _ { 1 } \sum _ { i = 1 } ^ { n } \lambda _ { i } ^ { 2 }$ ; confidence 0.249
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059470/l05947018.png ; $x \mapsto ( s _ { 0 } ( x ) , \ldots , s _ { k } ( x ) ) , \quad x \in X$ ; confidence 0.241
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b015/b015400/b01540091.png ; $\Psi _ { 1 } ( Y ) / \hat { q } ( Y ) \leq \psi ( Y ) \leq \Psi _ { 2 } ( Y ) / \hat { q } ( Y )$ ; confidence 0.236
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780328.png ; $im ( \Omega _ { S C } \rightarrow \Omega _ { O } )$ ; confidence 0.230
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059610/l05961015.png ; $\{ H , \rho \} q u _ { . } = [ H , \rho ] / ( i \hbar )$ ; confidence 0.229
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { ln } n ( R ) \cong H$ ; confidence 0.228
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073530/p07353041.png ; $t ^ { i _ { 1 } } \cdots \dot { d p } = \operatorname { det } \| x _ { i } ^ { i _ { k } } \|$ ; confidence 0.226
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025700/c02570021.png ; $I \rightarrow \cup _ { i \in l } J _ { i }$ ; confidence 0.225
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063710/m06371091.png ; $n _ { 1 } < n _ { 2 } .$ ; confidence 0.222
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l058/l058430/l058430107.png ; $g ^ { \prime } / ( 1 - u ) g ^ { \prime } = \overline { g }$ ; confidence 0.215
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e035/e035360/e03536051.png ; $\alpha _ { 1 } , \dots , \alpha _ { n } \in A$ ; confidence 0.215
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b015/b015660/b01566071.png ; $\nu = a + x + 2 [ \frac { n - t - x - \alpha } { 2 } ] + 1$ ; confidence 0.213
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017570/b01757027.png ; $E \mu _ { X , t } ( G ) \approx K e ^ { ( \alpha - \lambda _ { 1 } ) t } \phi _ { 1 } ( x )$ ; confidence 0.207
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085140/s08514031.png ; $S _ { x , m } = \operatorname { sup } _ { | x | < \infty } | F _ { n } ( x ) - F _ { m } ( x ) |$ ; confidence 0.201
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i051/i051780/i0517809.png ; $L _ { X } [ U ] = \lambda \int _ { \mathscr { U } } ^ { b } K ( x , y ) M _ { y } [ U ] d y + f ( x )$ ; confidence 0.201
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l059/l059160/l059160187.png ; $\dot { u } = A _ { n } u$ ; confidence 0.195
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.193
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080190/r08019038.png ; $\{ f ^ { t } | \Sigma _ { X } \} _ { t \in R }$ ; confidence 0.191
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120010/c12001098.png ; $\rho _ { j \overline { k } } = \partial ^ { 2 } \rho / \partial z _ { j } \partial z _ { k }$ ; confidence 0.185
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073460/p07346086.png ; $P ^ { \perp } = \cap _ { v \in P } v ^ { \perp } = \emptyset$ ; confidence 0.185
 
# 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043280/g0432804.png ; $\hat { K } _ { i }$ ; confidence 0.180
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021470/c02147033.png ; $\tilde { Y } \square _ { j } ^ { ( k ) } \in Y _ { j }$ ; confidence 0.172
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087270/s08727063.png ; $V _ { x } 0 ( \lambda ) \sim \operatorname { exp } [ i \lambda S ( x ^ { 0 } ) ] \sum _ { k = 0 } ^ { \infty } ( \sum _ { l = 0 } ^ { N } \alpha _ { k l } \lambda ^ { - r _ { k } } ( \operatorname { ln } \lambda ) ^ { l } \}$ ; confidence 0.167
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m065/m065030/m06503013.png ; $\tilde { y } = \alpha _ { 21 } x + \alpha _ { 22 } y + \alpha _ { 23 } z + b$ ; confidence 0.163
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074810/p07481050.png ; $\operatorname { sup } _ { x _ { 1 } \in X _ { 1 } } \operatorname { inf } _ { y _ { 1 } \in Y _ { 1 } } \ldots \operatorname { sup } _ { x _ { n } \in X _ { n } } \operatorname { inf } _ { y _ { n } \in Y _ { n } } f ( x _ { 1 } , y _ { 1 } , \ldots , x _ { \gamma } , y _ { n } )$ ; confidence 0.137
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d110/d110110/d11011084.png ; $L \cup O$ ; confidence 0.130
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l060/l060640/l0606404.png ; $\operatorname { res } _ { \mathscr { d } } \frac { f ^ { \prime } ( z ) } { f ( z ) }$ ; confidence 0.129
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a130040313.png ; $\epsilon _ { i , 0 } ^ { A } ( \alpha , b , c , d ) = \epsilon _ { l , 1 } ^ { A } ( \alpha , b , c , d ) \text { for alli } < m$ ; confidence 0.129
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s130/s130140/s13014014.png ; $M _ { \lambda } = ( Q _ { \langle \lambda _ { i } , \lambda _ { j } ) }$ ; confidence 0.121
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087170/s0871708.png ; $\Delta ^ { n } = \{ ( t _ { 0 } , \ldots , t _ { k } + 1 ) : 0 \leq t _ { i } \leq 1 , \sum t _ { i } = 1 \} \subset R ^ { n + 1 }$ ; confidence 0.113
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073730/p0737309.png ; $\tilde { a } ( t ) = \pi ( x , t ) = \sum _ { k = 1 } ^ { n } \tau _ { k } u _ { k } ( t )$ ; confidence 0.111
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120100/e12010044.png ; $t ^ { em } = t ^ { em , f } + ( P \otimes E ^ { \prime } - B \bigotimes M ^ { \prime } + 2 ( M ^ { \prime } . B ) 1 )$ ; confidence 0.105
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e120/e120230/e120230115.png ; $E ( L ) = E ^ { d } ( L ) \omega ^ { \alpha } \bigotimes \Delta$ ; confidence 0.101
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/q/q076/q076250/q07625090.png ; $\kappa = \overline { \operatorname { lim } _ { t } } _ { t \rightarrow \infty } ( \operatorname { ln } \| u ( t , 0 ) \| ) / t$ ; confidence 0.093
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074740/p07474069.png ; $q _ { k } R = p _ { j } ^ { n _ { i } } R _ { R }$ ; confidence 0.083
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086590/s08659060.png ; $\mathfrak { p } \not p \not \sum _ { n = 1 } ^ { \infty } A _ { n }$ ; confidence 0.075
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022030/c02203033.png ; $C _ { \omega }$ ; confidence 0.073
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t120/t120050/t12005082.png ; $\sum _ { 1 } ^ { i } , \ldots , i _ { S }$ ; confidence 0.070
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i051/i051950/i05195031.png ; $\frac { ( x - x _ { k } - 1 ) ( x - x _ { k + 1 } ) } { ( x _ { k } - x _ { k - 1 } ) ( x _ { k } - x _ { k + 1 } ) } f ( x _ { k } ) + \frac { ( x - x _ { k - 1 } ) ( x - x _ { k } ) } { ( x _ { k } + 1 - x _ { k - 1 } ) ( x _ { k + 1 } - x _ { k } ) } f ( x _ { k + 1 } )$ ; confidence 0.069
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043820/g0438203.png ; $D ^ { \alpha } f = \frac { \partial ^ { | \alpha | } f } { \partial x _ { 1 } ^ { \alpha _ { 1 } } \ldots \partial x _ { n } ^ { \alpha _ { n } } } , \quad | \alpha | = \alpha _ { 1 } + \ldots + \alpha _ { n }$ ; confidence 0.067
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043480/g0434801.png ; $\quad f j ( x ) - \alpha j = \alpha _ { j 1 } x _ { 1 } + \ldots + \alpha _ { j n } x _ { n } - \alpha _ { j } = 0$ ; confidence 0.057
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m065/m065330/m0653306.png ; $P \{ X _ { 1 } = n _ { 1 } , \dots , X _ { k } = n _ { k } \} = \frac { n ! } { n ! \cdots n _ { k } ! } p _ { 1 } ^ { n _ { 1 } } \dots p _ { k } ^ { n _ { k } }$ ; confidence 0.054
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/common_img/c020800a.gif ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009047.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087450/s087450245.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080140/r0801405.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021610/c02161036.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c02054019.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007038.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m065/m065140/m06514047.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/common_img/a013370a.gif ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f130/f130290/f130290125.png ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/common_img/l060600a.gif ; <font color="red">Missing</font> ; confidence 0.000
 
# 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/common_img/o110030a.gif ; <font color="red">Missing</font> ; confidence 0.000
 
# 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040980/f04098020.png ; <font color="red">Missing</font> ; confidence 0.000
 

Latest revision as of 14:17, 1 July 2020

More about this project can be found here. For some examples of manual corrections of the below formulas, see this page.

All known LaTeX classifications are stored in subpages of this page. Except for around 500 images, all images from articles for which no Nroff code is present have been classified. These around 23'000 images are distributed over 77 pages, each having 300 formulas (except for the last page):

No Nroff

Correction

Tim

15 packs: 1 5 9 13 17 21 25 29 77 33 73 69 65 57 61

Marco

13 packs: 2 7 12 18 23 28 34 39 44 50 55 60 66

Rui

20 packs: 3 6 10 14 16 20 24 27 31 35 38 42 46 48 52 56 59 63 67 70

and 10 packs: 11 15 19 30 36 54 68 74 75 76

and 5 packs: 37 41 45 49 53

David

13 packs: 8 22 26 32 40 43 47 51 58 62 64 71 72

Unassigned

4

Supervision

Rui

1 2 4 5 7 8 9 12 13 17 18 22 23 26 28 32 34 39 40 43 47 51 57 61 65 69 73

and 21 25 29 33 44 50 55 58 60 62 64 66 71 72 77

Martina

42 46 48 52 53 54 56 59 63 67 70 68 74 75 76

Formulas with comments by the corrector

Archive

How to Cite This Entry:
Maximilian Janisch/latexlist/latex. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Maximilian_Janisch/latexlist/latex&oldid=43763