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− | All known classifications (needs to be organized by duplicates):
| + | <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): |
− | # 41 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d030/d030020/d03002056.png ; $D x$ ; confidence 0.7125899824424232
| + | == No Nroff == |
− | # 14 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120140/b12014039.png ; $a ( z )$ ; confidence 0.9482394098353333
| + | === Correction === |
− | # 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110170/c1101705.png ; $D _ { p }$ ; confidence 0.949111588895238
| + | ==== [[Special:Contributions/Tim_Gehrunger|Tim]] ==== |
− | # 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025710/c0257107.png ; $U = U ( x _ { 0 } )$ ; confidence 0.9908562078219828
| + | 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> |
− | # 6 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052010/i0520106.png ; $D _ { 1 } , \ldots , D _ { n }$ ; confidence 0.4988053123602627
| + | |
− | # 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a011/a011370/a01137073.png ; $\{ U _ { i } \}$ ; confidence 0.9836893369850943
| + | ==== [[Special:Contributions/Marco Bertenghi|Marco]] ==== |
− | # 5 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i050/i050230/i05023059.png ; $1 < m \leq n$ ; confidence 0.7369614629370724
| + | 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> |
− | # 4 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b130/b130020/b13002056.png ; $x \in J$ ; confidence 0.9080545659315307
| + | |
− | # 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017290/b01729088.png ; $A = R ( X )$ ; confidence 0.9881159073610419
| + | ==== [[Special:Contributions/Rui Martins|Rui]] ==== |
− | # 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i051/i051150/i051150191.png ; $p ^ { t } ( . )$ ; confidence 0.8165592987790539
| + | 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> |
− | # 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d130/d130080/d130080108.png ; $F \in Hol ( D )$ ; confidence 0.8050535485710892
| + | |
− | # 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c120/c120070/c12007011.png ; $1 \leq i \leq n - 1$ ; confidence 0.9934317899899957
| + | 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> |
− | # 3 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052500/i05250047.png ; $P ^ { N } ( k )$ ; confidence 0.9987133323048683
| + | |
− | # 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f038/f038380/f03838022.png ; $C _ { 0 }$ ; confidence 0.8004815244538365
| + | 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> |
− | # 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r082/r082060/r082060128.png ; $2 g - 1$ ; confidence 0.9989153310543109
| + | |
− | # 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a010/a010950/a01095099.png ; $X = \xi ^ { i }$ ; confidence 0.6624091170439768
| + | ==== [[Special:Contributions/David Morselli|David]] ==== |
− | # 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c110/c110440/c11044082.png ; $C ( n ) = 0$ ; confidence 0.9997444185828339
| + | 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> |
− | # 2 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130050/i13005080.png ; $s > - \infty$ ; confidence 0.9845208310112613
| + | |
− | # 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 0.9810343462221086
| + | ==== Unassigned ==== |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p073/p073750/p0737503.png ; $p _ { i } ( \xi ) \in H ^ { 4 i } ( B )$ ; confidence 0.99791358427467
| + | <s>[[User:Maximilian_Janisch/latexlist/latex/NoNroff/4|4]]</s> |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s120/s120280/s12028015.png ; $\overline { E } * ( X )$ ; confidence 0.5537829111373315
| + | |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e035/e035560/e03556014.png ; $y ^ { \prime } ( 0 ) = 0$ ; confidence 0.9903064442155347
| + | === Supervision === |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097350/w0973508.png ; $A = N \oplus s$ ; confidence 0.5210690864049642
| + | ==== [[Special:Contributions/Rui_Martins|Rui]] ==== |
− | # 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 0.11326702391691568
| + | <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/b/b110/b110440/b1104407.png ; $\overline { \Xi } \epsilon = 0$ ; confidence 0.3260247782643509
| + | |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/x/x120/x120010/x120010101.png ; $\operatorname { Aut } ( R ) / \operatorname { ln } n ( R ) \cong H$ ; confidence 0.22810850082016165
| + | 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/v/v096/v096740/v0967406.png ; $v _ { \nu } ( t _ { 0 } ) = 0$ ; confidence 0.9958144597610641
| + | |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c025/c025830/c02583071.png ; $i B _ { 0 }$ ; confidence 0.9980735616545853
| + | ==== [[Special:Contributions/Martina_Jørgensen|Martina]] ==== |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r110/r110080/r11008062.png ; $\lambda _ { j , k }$ ; confidence 0.9635983039923848
| + | <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/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 0.3200898597640655
| + | [[User:Maximilian_Janisch/latexlist/latex/NoNroff/52|52]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/53|53]] |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062620/m062620248.png ; $x > y > z$ ; confidence 0.9993955133881784
| + | [[User:Maximilian_Janisch/latexlist/latex/NoNroff/54|54]] [[User:Maximilian_Janisch/latexlist/latex/NoNroff/56|56]] |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m062/m062330/m06233085.png ; $\{ 1,2 , \dots \}$ ; confidence 0.5933353086312023
| + | [[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/z/z130/z130010/z13001018.png ; $| z | > \operatorname { max } \{ R _ { 1 } , R _ { 2 } \}$ ; confidence 0.3553260162210176
| + | |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l061/l061160/l06116099.png ; $V _ { 0 } \subset E$ ; confidence 0.9785935677225964
| + | === [[User:Maximilian_Janisch/latexlist/latex/NoNroff/comments|Formulas with comments by the corrector]] === |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t130/t130140/t13014089.png ; $Q _ { 0 } = \{ 1 , \dots , n \}$ ; confidence 0.774493022175851
| + | |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057000/l057000153.png ; $+ ( \lambda x y \cdot y ) : ( \sigma \rightarrow ( \tau \rightarrow \tau ) )$ ; confidence 0.26240483068240167
| + | == [[User:Maximilian Janisch/latexlist/latex/Archive|Archive]] == |
− | # 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 0.23609599825199817
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n067/n067840/n06784093.png ; $A \in L _ { \infty } ( H )$ ; confidence 0.9935492544546415
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130020/m13002013.png ; $F _ { A } = * D _ { A } \phi$ ; confidence 0.7384051116139154
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n120/n120110/n12011031.png ; $x \in K$ ; confidence 0.6579697488518514
| |
− | # 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 0.8011337035503415
| |
− | # 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 0.9956682138248338
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w097/w097450/w09745039.png ; $j = g ^ { 3 } / g ^ { 2 }$ ; confidence 0.7991474537469944
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s085/s085590/s085590228.png ; $R = \{ R _ { 1 } > 0 , \dots , R _ { n } > 0 \}$ ; confidence 0.5913209005341337
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s091/s091670/s09167062.png ; $S ( B _ { n } ^ { m } )$ ; confidence 0.7188991353542298
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s083/s083330/s0833306.png ; $\phi _ { \mathscr { A } } ( . )$ ; confidence 0.19347190705537826
| |
− | # 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 0.9173784852068905
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130250/m13025061.png ; $\int | \rho _ { \varepsilon } ( x ) | d x$ ; confidence 0.964771564499889
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095700/u09570015.png ; $D ( D , G - ) : C \rightarrow$ ; confidence 0.39755631559394916
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022370/c02237063.png ; $Q / Z$ ; confidence 0.663649051291889
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d03185094.png ; $( \operatorname { arccos } x ) ^ { \prime } = - 1 / \sqrt { 1 - x ^ { 2 } }$ ; confidence 0.9962210404610826
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095410/u09541052.png ; $g ^ { p } = e$ ; confidence 0.9783864254422098
| |
− | # 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 0.6746325376340707
| |
− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f041/f041210/f0412109.png ; $A / \eta$ ; confidence 0.7016005337400021
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− | # 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 0.6326879749735163
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k056/k056010/k056010135.png ; $p : X \rightarrow S$ ; confidence 0.9979840368620039
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c020/c020540/c020540218.png ; $\nabla ^ { \prime } = \nabla$ ; confidence 0.998307629684964
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− | # 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 0.9636735762236702
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i052/i052940/i05294039.png ; $F _ { t } : M ^ { n } \rightarrow M ^ { n }$ ; confidence 0.9892303983467674
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021520/c02152013.png ; $V ( \Lambda ^ { \prime } ) \otimes V ( \Lambda ^ { \prime \prime } )$ ; confidence 0.9956682193198153
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− | # 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 0.3913006402000813
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057050/l057050165.png ; $a \rightarrow a b d ^ { 6 }$ ; confidence 0.5686678070129293
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− | # 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 0.2070610832487361
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d031/d031850/d031850261.png ; $\partial z / \partial y = f ^ { \prime } ( x , y )$ ; confidence 0.43958333682472145
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r077/r077740/r0777407.png ; $F ( u ) = - \lambda ( u - \frac { u ^ { 2 } } { 3 } ) , \quad \lambda =$ ; confidence 0.7430177844611311
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f120/f120240/f12024048.png ; $\dot { x } ( t ) = f ( t , x _ { t } )$ ; confidence 0.5429682760018246
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/i/i130/i130070/i13007010.png ; $q ( x ) \in L ^ { 2 } \operatorname { loc } ( R ^ { 3 } )$ ; confidence 0.9533661981123269
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− | # 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 0.9868991488845216
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− | # 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 0.818133040173671
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055940/k05594036.png ; $\eta ( \epsilon ) \rightarrow 0$ ; confidence 0.9930945383534938
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t094/t094300/t094300134.png ; $\operatorname { Fix } ( T ) \subset \mathfrak { R }$ ; confidence 0.7097136892515409
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/k/k055/k055850/k0558502.png ; $K = ( S , R , D , W )$ ; confidence 0.9948102230937678
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/g/g043/g043930/g0439304.png ; $m : A ^ { \prime } \rightarrow A$ ; confidence 0.9973560859607404
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007080.png ; $\sigma ( n ) > \sigma ( m )$ ; confidence 0.995848659246317
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/e/e110/e110070/e11007046.png ; $C x ^ { - 1 }$ ; confidence 0.8338278081003673
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/p/p074/p074160/p07416038.png ; $\mu _ { 1 } = \mu _ { 2 } = \mu > 0$ ; confidence 0.9998340722154501
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040230/f040230157.png ; $\Delta ^ { n } f ( x )$ ; confidence 0.9761551779890966
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− | # 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 0.054218093847858334
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/t/t094/t094660/t09466044.png ; $t \in [ - 1,1 ]$ ; confidence 0.9658081901466191
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m063/m063240/m063240457.png ; $\mu _ { i } ( X _ { i } ) = 1$ ; confidence 0.9902724405115619
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/common_img/c020800a.gif ; <font color="red">Missing</font> ; confidence 0
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130040/a13004089.png ; $D$ ; confidence 0.9836142568793015
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m064/m064540/m0645406.png ; $m _ { G } = D ( u ) / 2 \pi$ ; confidence 0.8112748700162913
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022780/c022780328.png ; $im ( \Omega _ { S C } \rightarrow \Omega _ { O } )$ ; confidence 0.23040392825448733
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− | # 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 0.8428428443145696
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c024/c024850/c024850182.png ; $m = p _ { 1 } ^ { \alpha _ { 1 } } \ldots p _ { s } ^ { \alpha _ { S } }$ ; confidence 0.46249649812198196
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a110/a110400/a11040023.png ; $T ^ { * }$ ; confidence 0.9844626718823335
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022030/c02203033.png ; $C _ { \omega }$ ; confidence 0.07294451014735373
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110100/b110100421.png ; $S : \Omega \rightarrow L ( Y , X )$ ; confidence 0.9939321146895647
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120310/b12031032.png ; $0 \leq \delta \leq ( n - 1 ) / 2 ( n + 1 )$ ; confidence 0.9985895509258916
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c021/c021470/c02147033.png ; $\tilde { Y } \square _ { j } ^ { ( k ) } \in Y _ { j }$ ; confidence 0.17197034114794676
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120050/w12005029.png ; $D = R [ x ] / D$ ; confidence 0.9679769594271714
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− | # 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 0.9041210547693775
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s087/s087420/s087420100.png ; $( 1 , \dots , k )$ ; confidence 0.7759125219520806
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b120/b120090/b12009047.png ; <font color="red">Missing</font> ; confidence 0
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/h/h047/h047560/h04756028.png ; $f ^ { - 1 } \circ f ( z ) = z$ ; confidence 0.9863835099245214
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c027/c027480/c027480106.png ; $\Sigma _ { S }$ ; confidence 0.7602855286138045
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b016/b016670/b01667071.png ; $n _ { 1 } = 9$ ; confidence 0.8217276068104418
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l057/l057980/l05798044.png ; $H ^ { p , q } ( X )$ ; confidence 0.9128683228703054
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/f/f040/f040690/f04069072.png ; $\alpha _ { \alpha } ^ { * } ( f ) \Omega = f$ ; confidence 0.9617933295666078
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− | # 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 0.9583030996297096
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/z/z130/z130020/z13002034.png ; $F , F _ { \tau } \subset P$ ; confidence 0.9767753813241717
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/c/c022/c022420/c02242019.png ; $\phi ( x ) = ( 1 - x ) ^ { \alpha } ( 1 + x ) ^ { \beta }$ ; confidence 0.9976319244241609
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/m/m130/m130190/m13019018.png ; $M _ { n } = [ m _ { i } + j ] _ { i , j } ^ { n } = 0$ ; confidence 0.46928897388284957
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− | # 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 0.6980818282530422
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120020/w12002010.png ; $l _ { 1 } ( P , Q )$ ; confidence 0.6109194252117595
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− | # 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 0.43410160727313885
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s090/s090130/s09013055.png ; $K . ( H X ) = ( K H ) X$ ; confidence 0.7659737865659941
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/u/u095/u095440/u09544020.png ; $U ( \epsilon )$ ; confidence 0.9981553778972309
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b017/b017470/b01747069.png ; $P _ { 1 / 2 }$ ; confidence 0.9956493318117914
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/l/l120/l120060/l12006027.png ; $\phi \in H$ ; confidence 0.9809538776286444
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− | # 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 0.9895172018375741
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b016/b016970/b0169702.png ; $x ^ { \sigma } = x$ ; confidence 0.9478216561987443
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/s/s086/s086550/s0865507.png ; $B _ { N } A ( B _ { N } ( \lambda - \lambda _ { 0 } ) )$ ; confidence 0.980198148600406
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/v/v096/v096900/v096900234.png ; $\Pi I _ { \lambda }$ ; confidence 0.2996377272936826
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− | # 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 0.2014066318219743
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− | # 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 0.902751217861617
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/w/w120/w120070/w120070106.png ; $C ^ { \prime } = 1$ ; confidence 0.9986067312742835
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/n/n066/n066840/n06684027.png ; $X = N ( A ) + X , \quad Y = Z + R ( A )$ ; confidence 0.9876165622757166
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r081/r081470/r081470221.png ; $\oplus R ( S _ { n } )$ ; confidence 0.9053981209446474
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/d/d130/d130090/d13009024.png ; $1 \leq u \leq 2$ ; confidence 0.97632096204764
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− | # 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 0.7947232878891592
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/r/r080/r080610/r08061050.png ; $E ( Y - f ( x ) ) ^ { 2 }$ ; confidence 0.5470389324901368
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/b/b110/b110880/b11088033.png ; $P _ { I } ^ { f } : C ^ { \infty } \rightarrow L$ ; confidence 0.32143585152427034
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− | # 1 duplicate(s) ; https://www.encyclopediaofmath.org/legacyimages/a/a130/a130070/a13007033.png ; $< 1$ ; confidence 0.9989134216768655
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