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TAL_OCR_Composed_37K

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( 2 ) 2 N a O H + C u S O _ { 4 } = N a _ { 2 } S O _ { 4 } + C u ( O H ) _ { 2 } \downarrow \angle A C B = \angle A ^ { \prime } C B ^ { \prime } 1 0 \times ( x + 5 ) = 1 3 \times ( \frac { 5 } { 7 } x + 5 ) l _ { 2 } = O B = \frac { O A } { 4 } \times 3 = \frac { 1 . 2 m } { 4 } \times 3 = 0 . 9 m
HME100K/composed/0004
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle A = 4 0 ^ { \circ } 2 n + H _ { 2 } S o _ { 4 } = 2 n S _ { 4 } + H _ { 2 } \uparrow \angle B E C = 3 \angle A B E - \frac { b } { 2 0 } = - \frac { - k } { 2 } = \frac { k } { 2 } = 1
HME100K/composed/0008
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
N a C l O _ { 3 } + K C l = K C l O _ { 3 } + N a C l \textcircled { 1 } \frac { 1 } { 4 } = \frac { 1 \times 2 } { 4 \times 2 } = \frac { 2 } { 8 } 2 0 \% = \frac { 1 } { 5 } \angle C O E = \frac { 2 } { 3 } \times 9 0 ^ { \circ } = 6 0 ^ { \circ }
HME100K/composed/0012
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
L H S = \sqrt { - \frac { 1 } { 2 } } \cdot \sqrt { 4 } + 2 \square \angle B + \angle B F D = \angle F D C x ^ { 2 } - 3 x + 2 = 0
HME100K/composed/0016
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
f ( x ) = e ^ { x } - a x ^ { 3 } V y = \sqrt { V _ { 0 } ^ { 2 } - 4 x ^ { 2 } } = \frac { \sqrt { 3 } V _ { 0 } } { 2 } V _ { t } ^ { 2 } - V _ { 0 } ^ { 2 } = 2 a x 2 A l + 6 H C l = 2 A l C l _ { 3 } + 3 H _ { 2 } \uparrow
HME100K/composed/0020
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
1 2 . 5 6 = 6 ( d m ) - ( m + 2 ) ^ { 2 } \geq 0 S _ { n } = \frac { 2 n } { 3 ^ { n + 1 } } \angle E A D = \angle O A D
HME100K/composed/0024
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { \sqrt { 3 } } { 2 } \neq \frac { 1 } { 2 } x \in [ - 1 , 1 ] 9 6 0 d m ^ { 3 } = 0 . 9 6 m ^ { 3 } 4 0 0 0 0 \times 6 - 2 4 0 0 0 0 ( c m )
HME100K/composed/0028
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\Delta = 4 8 ( 1 2 - m ^ { 2 } ) > 0 \frac { 1 8 0 ^ { \circ } - 1 0 8 ^ { \circ } } { 2 } = \frac { 7 2 ^ { \circ } } { 2 } = 3 6 ^ { \circ } n C a C l _ { 2 } = \frac { m } { M } = \frac { 1 1 . 1 g } { 1 1 1 g / m o l } = 0 . 1 m o l g ^ { \prime } ( x ) = \frac { 2 \times \ln x - x + x } { ( \ln x ) ^ { 2 } } > 0
HME100K/composed/0032
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle M D B + \angle C D N = 7 5 ^ { \circ } y = - ( x + a ) ^ { 2 } + b \because \frac { B E } { C D } = \frac { B D } { C F } y = \frac { k _ { 1 } } { x - 2 } . \because y = y _ { 1 } - y _ { 2 }
HME100K/composed/0036
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
y _ { 1 } > y _ { 2 } \Delta A B C \sim \Delta F C D a _ { n } - a _ { n - 1 } = 2 n - 1 \angle A O D = 2 0 0 ^ { \circ } - a
HME100K/composed/0040
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
P = \frac { W } { t } = \frac { 4 0 J } { 1 0 s } = 4 W \Delta A O F \cong \Delta C O E ( A A S ) C H _ { 3 } - C H - C O O H + H C l \rightarrow C H _ { 3 } - C H - C O O a \geq \frac { 3 } { 2 } .
HME100K/composed/0044
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle O A C = 4 5 ^ { \circ } = \angle O C A ( 3 ) \frac { ( 1 ) - ( 2 ) } { 2 } = \frac { 2 5 6 } { 2 } = \frac { 1 2 8 } { 2 } = 6 4 - 2 x ^ { 2 } + 2 0 x < 0 a _ { n + 1 } = 9 \times 1 0 ^ { n }
HME100K/composed/0048
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
C Q = B C - B Q = 6 0 - 2 \sqrt { 3 } ( c m ) \angle A B C = \angle E A B \therefore H E = B E \because B E = C E 2 + 2 + \frac { 1 } { 8 } \times 3 J \frac { 1 } { 2 } t ^ { 2 } + \frac { 3 } { 2 } t + 4 t = 6 3
HME100K/composed/0052
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\beta = x + 2 k \pi - \alpha C k \in 8 7 1 + ( 2 - p ) ^ { 2 } + 9 + ( 1 - p ) ^ { 2 } = 1 7 x + y = 9 1 ( 1 ) y = \frac { x ^ { 2 } + x + 1 } { x } = ( x + \frac { 1 } { x } ) + 1 \geq 2 \sqrt { x \cdot \frac { 1 } { x } } + 1
HME100K/composed/0056
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\therefore 1 8 0 ^ { \circ } - \angle C Q P - \angle C P Q = 1 8 0 ^ { \circ } - \angle A Q B - \angle B 2 y + 2 < 5 y - 1 x + 5 > - 1 x < 4
HME100K/composed/0060
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
6 . 2 8 \times 6 0 0 = 3 7 6 8 ( k g ) \frac { 1 } { 2 } x \times 5 \times 2 m g h = \frac { 1 } { 2 } m v ^ { 2 } 4 0 0 0 \times 6 0 0 0 = 2 4 0 0 0 0 0 0 c m ^ { 2 }
HME100K/composed/0064
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle F E C = 6 0 ^ { \circ } f ( 2 ) = f ( \frac { 1 } { 2 } \times 4 ) y = 0 + x _ { 2 } = \frac { 1 2 k ^ { 2 } } { 1 + 3 k ^ { 2 } }
HME100K/composed/0068
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
2 B O Q = 6 0 \because O Q ^ { \because } = \frac { 1 } { 2 } 0 a > 0 , b > 0 , \frac { a } { \vert a \vert } + \frac { b } { \vert b \vert } = 2 N a _ { 2 } C O _ { 3 } + 2 H C l = 2 N a C l + H _ { 2 } O + C O _ { 2 } \uparrow A B = 4 , A D = 8
HME100K/composed/0072
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
A P ^ { \prime } = P C A C = \sqrt { 2 ^ { 2 } + 2 ^ { 2 } } = 2 \sqrt { 2 } T = \frac { \pi } { 1 w 1 } = \frac { x } { 4 } 1 6 5 - 5 9 + 6 5 = 1 6 5 - 6 5 + 5 9
HME100K/composed/0076
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
C H _ { 2 } = C H _ { 2 } + B r \rightarrow C H _ { 2 } B r C H _ { 2 } B r \overrightarrow { a } - ( 2 , 2 ) = ( 1 , - 3 ) x _ { 1 } = 9 , X _ { 2 } \div - 1 1 4 0 - 9 0 = 5 0
HME100K/composed/0080
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
= \frac { 1 2 } { \frac { \sqrt { 2 } } { 2 } } 3 ( x - 1 ) = y + 5 D E = \frac { 4 \sqrt { 2 } + \sqrt { 2 } x } { 2 } - y N a _ { 2 } C O _ { 3 } + C a C l _ { 2 } = C a C O _ { 3 } \downarrow + 2 N a C l
HME100K/composed/0084
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
( 1 ) 1 3 \div 4 = 3 \cdots y = m a \in [ - 1 , \frac { 1 } { 3 } ] D x \leq 2
HME100K/composed/0088
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
k _ { Q E } = \frac { 0 - ( - a k ) } { a - ( - a ) } = \frac { k } { 2 } a _ { n } = 2 n + 1 y = \sqrt { 9 - x ^ { 2 } } \frac { a _ { 1 0 } + a _ { 9 } } { a _ { 9 } } < 0
HME100K/composed/0092
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { \vert x - 2 \vert } { x - 2 } - \frac { \vert x - 1 \vert } { \vert x - 1 \vert } + \frac { \vert x \vert } { x } \sin ( \frac { 3 \pi } { 2 } + \alpha ) = - \cos \alpha n = 1 5 0 r / \min = 2 . 5 r / s z n + H _ { 2 } S O _ { 4 } = Z n S O _ { 4 } + H _ { 2 } \uparrow
HME100K/composed/0096
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { 1 } { 2 0 1 6 } ) + \cdots + f ( 1 ) + f ( 2 ) + - 3 ^ { 2 } - ( - 1 \frac { 2 } { 5 } ) \div 1 \frac { 5 } { 9 } \times ( - \frac { 5 } { 6 } ) y = x ^ { 2 } - 4 x - 5 ( x - 6 0 ) ( x - 6 0 ) = 0 \therefore x =
HME100K/composed/0100
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
A P ^ { 2 } + B P ^ { 2 } = A B ^ { 2 } 2 . 5 \times 4 \div 2 . 5 \times 4 = . 1 0 - 6 . 9 5 - 3 . 0 5 = \frac { A E } { A B } = \frac { E D } { B C } 1 6 - ( 6 - 4 \sqrt { 3 } + 2 )
HME100K/composed/0104
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
2 H _ { 2 } O - 4 e ^ { - } = O _ { 2 } \uparrow + 4 H ^ { + } = ( a ^ { 5 } - b ^ { 5 } ) \cdot ( b ^ { 3 } - 5 \div 1 0 0 0 0 = 0 . 5 m \angle B O C = \angle B O D - \angle C O D = 5 0 ^ { \circ }
HME100K/composed/0108
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle B O C = \angle 1 + \angle B F C = 4 0 ^ { \circ } + 9 0 ^ { \circ } = 1 3 0 ^ { \circ } \angle 4 = 6 0 ^ { \circ } 2 . 2 V + 3 . 7 5 V = 5 . 9 5 V \approx 6 V S \frac { x } { 2 } \vert \eta s u r e + k \pi + \frac { \pi } { 2 } < \frac { \alpha } { 2 } < k \pi + \frac { \pi } { 4 } 3
HME100K/composed/0112
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\lambda _ { 1 } = \frac { h } { m _ { 1 } v } , \lambda _ { 2 } = \frac { h } { m _ { 2 } v } \frac { 7 } { 2 0 } \times 1 3 4 = 4 6 . 9 ( k g ) V _ { A } = - \frac { 2 m } { m + n } V _ { 0 } \angle E C G = 9 0 ^ { \circ }
HME100K/composed/0116
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\sqrt { 3 - x } > 0 B o ( N O _ { 3 } ) _ { 2 } + H _ { 2 } S O _ { 4 } = B a S O _ { 4 } \downarrow + 2 H N O _ { 3 } e ^ { x } + x ^ { 2 } 5 、 \frac { 3 } { 7 } \times \frac { 5 } { 6 } \textcircled { < } \frac { 6 } { 7 } \times \frac { 3 } { 5 }
HME100K/composed/0120
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
A D / / B C E P : \frac { 3 } { 4 } x 4 k ^ { 2 } + 4 k + 1 - 8 k + 6 - 3 1 = 0 C = - 5
HME100K/composed/0124
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\{ x \vert x < - \frac { 1 } { 3 } A F = \frac { A B } { \cos A } = \frac { 2 0 } { \frac { 1 } { 2 } } = 4 0 a x + b y = 7 \textcircled { 2 } \angle A B D = 1 8 0 ^ { \circ } - \angle A B C
HME100K/composed/0128
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\sqrt { ( - 1 \frac { 2 } { 3 } ) ^ { 2 } } = \pm \frac { 5 } { 3 } \angle A O D = 1 8 0 ^ { \circ } \times \frac { 1 } { 1 0 } = 1 2 6 ^ { \circ } \angle N M E + \angle M N E = 9 0 ^ { \circ } 4 = 2 a - \frac { a b } { 2 }
HME100K/composed/0132
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
2 x - 3 y = k \angle E H F = \angle E D F = 9 0 ^ { \circ } m = - \frac { 1 } { 4 } S _ { \Delta A B D } = 4
HME100K/composed/0136
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { x y } { y - x } = \frac { 1 } { 2 } 1 - \frac { 1 } { 5 } - \frac { 1 } { 1 0 } - \frac { 3 } { 1 0 } = \frac { 2 } { 5 } 5 x + 5 ( x - 3 ) = x ^ { 2 } . 9 + x ( x + 3 ) \vert a - \frac { 1 } { a } \vert = \frac { 1 } { a } - a
HME100K/composed/0140
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
[ \frac { x + y } { 2 x } - ( x + y ) ] F e _ { 2 } O _ { 3 } + 6 H C l = 2 F e C l _ { 3 } + 3 H _ { 2 } O a ( x - 1 ) ^ { 2 } + 4 7 . 6 6 \times 1 0 ^ { 7 }
HME100K/composed/0144
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
m - n = b ^ { 2 } + 2 b - 5 \angle A B C - \angle A B D = \angle A D C - \angle A D B \angle B P F = 3 0 ^ { \circ } \angle B A E = 9 0 ^ { \circ }
HME100K/composed/0148
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
S _ { \Delta } O B Q = 2 S _ { \Delta } A O B 3 y ^ { 2 } - 4 y + 1 = 0 I _ { 1 } = \frac { U _ { 1 } } { R _ { 1 } } = \frac { 8 V } { 2 0 \Omega } = 0 . 4 A \frac { 1 } { 2 } + \frac { 2 } { 2 }
HME100K/composed/0152
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle P A Q = 9 0 ^ { \circ } C F D + \angle C D E = 9 0 ^ { \circ } [ - 3 - ( - 5 ) ] \times ( 3 \times 4 ) = 2 4 r = 1 2 . 5 6 \div 3 . 1 4 \div 2 = 2 ( m )
HME100K/composed/0156
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\sqrt { 3 a + 2 b - 6 } = 0 \angle C O E = 6 0 ^ { \circ } - \angle D O C S _ { 1 } = 4 \times 3 = 1 2 4 4 2
HME100K/composed/0160
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle A D C = 9 0 ^ { \circ } 4 2 + 1 4 - 3 5 = 2 1 \textcircled { 2 } 7 \times 9 - 2 8 = 3 5 y _ { A N } = k x - 1 1 V = \frac { P } { F } = \frac { 3 0 0 0 W } { 5 0 0 0 N } = 0 . 6 m / s
HME100K/composed/0164
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
0 . 8 x = \frac { 1 } { 4 } \times \frac { 2 } { 5 } m F e = 5 6 \times 0 . 1 = 5 . 6 g S _ { \Delta C M N } = \angle 1 = 3 6 ^ { \circ }
HME100K/composed/0168
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
3 8 + ( 1 9 - 8 ) = 4 9 \angle B + \angle A D C = 1 8 0 ^ { \circ } 3 0 \div 3 = 1 0 ( c m ) 3 0 : 2 = 1 5 \neq 4 0 : 3 = \frac { 4 0 } { 3 }
HME100K/composed/0172
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\therefore C E = \frac { 1 } { 2 } A C C D = \frac { 1 } { 2 } B C C F = O C \cdot \tan \angle C O B = 5 \sqrt { 3 } y = 0 2 \frac { 1 } { 2 } = a + \frac { 1 } { 4 }
HME100K/composed/0176
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
x - 3 2 = 5 8 > \frac { 2 4 } { 3 6 } = \frac { ( 6 ) } { 9 } = \frac { 2 } { ( 3 ) } \angle C D E = \frac { 1 } { 2 } \angle C O A )
HME100K/composed/0180
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\tan 3 7 ^ { \circ } = \frac { C D } { B D } = \frac { 3 } { 4 } x \in ( \pi + 2 k \pi , \frac { 3 } { 2 } \pi + 2 k \pi ) , k \in Z . \tan \alpha = \frac { 3 } { 4 } \tan ( A + B ) = \tan ( A ) + ( \tan B ) 8 - 2 = 6
HME100K/composed/0184
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\Rightarrow A C = \frac { 4 \sqrt { 5 } } { 5 } = 4 a ^ { 2 } - 2 0 0 a + 2 4 0 0 z = \frac { 2 i + 3 - 3 i } { 2 + i } = \frac { 3 - i } { 2 + i } = 1 - i y = - \frac { 1 } { 2 } x + b _ { 2 } ( k _ { 2 } \neq 0 )
HME100K/composed/0188
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
2 x - 0 . 4 y = 2 . 3 \textcircled { 2 } I _ { 1 } = \frac { u } { R _ { 1 } } = \frac { 6 v } { 1 0 \Omega } = 0 . 6 A \angle D E O = \angle B E D - \angle B E A = 7 5 ^ { \circ } - 4 5 ^ { \circ } = 3 0 ^ { \circ } = \angle D B E b ^ { 2 } - 3 a ^ { 2 } = 4 a ^ { 2 } b ^ { 2 }
HME100K/composed/0192
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
4 3 0 + ^ { 2 } - 4 3 0 t - 9 0 0 = 0 . . - 2 \sin ( \alpha + \beta ) = - \frac { 3 } { 5 } R _ { 2 } = \frac { V _ { 2 } } { Z _ { 2 } } = \frac { 4 V } { 0 . 4 A } = 1 0 \Omega m s . s \times 1 0 ^ { 1 0 }
HME100K/composed/0196
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
a _ { n } = \sqrt { n } - \sqrt { n - 1 } 3 x - 4 \geq x + 2 \angle D O C = 1 8 0 ^ { \circ } - 1 5 2 ^ { \circ } = 2 8 ^ { \circ } \textcircled { 1 } a = \sqrt { 2 }
HME100K/composed/0200
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
S O _ { 2 } + C a ( O H ) _ { 2 } = H _ { 2 } O + C a S O _ { 3 } C _ { 1 } O + H _ { 2 } S _ { 4 } = C u S _ { 4 } + H _ { 2 } O \vert A B \vert _ { \min } = \frac { 1 } { 2 } - \ln \frac { \sqrt { 2 } } { 2 } = \frac { 1 } { 2 } + \frac { 1 } { 2 } I n ^ { 2 } P = \frac { W } { t } = \frac { 2 0 1 } { 4 S } = 5 W
HME100K/composed/0204
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
F e S O _ { 4 } + H _ { 2 } \uparrow R _ { 3 } = \frac { U _ { 3 \max } } { 2 } = \frac { 2 0 V } { 2 A } = 1 0 V 1 0 \Omega S _ { \Delta D A P } = \frac { 9 } { 4 } x + 1 8 \frac { m V _ { c } ^ { 2 } } { R } = m g V _ { c } = \sqrt { g R }
HME100K/composed/0208
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { 1 } { 2 } T _ { o } = \frac { 1 } { 4 } T \Rightarrow T _ { o } = \frac { \sqrt { 2 } L } { 2 V _ { o } } f ( n ) = f _ { 2 } ( x ) = a \cdot 3 ^ { ( x - 2 ) } \frac { B M } { M N } = \frac { A M } { N E } A D ^ { 2 } = O A ^ { 2 } + O D ^ { 2 }
HME100K/composed/0212
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
v = \frac { F } { p g } = \frac { 3 0 4 0 } { 1 0 6 0 \times 1 0 } ( \frac { x } { x - 1 } - \frac { x - 1 } { x - 1 } \frac { 1 } { x ^ { 2 } + 2 x + 1 } \cdot ( 1 + \frac { 3 } { x - 1 } ) \div \frac { x + 2 } { x ^ { 2 } + 1 } = 1 3 8 0 \div 2 0
HME100K/composed/0216
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
0 \leq 1 - 2 x _ { 0 } < \frac { 1 } { 2 } a _ { 1 } = - 1 P Q / / E F x = \frac { 1 - 2 a } { 2 } = 1
HME100K/composed/0220
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle A = 3 0 ^ { \circ } \frac { 1 } { 5 } \times \frac { 1 } { 1 2 } \times \frac { 1 } { 1 5 } = \frac { 7 } { 2 0 } C u ( O H ) _ { 2 } + H _ { 2 } S O _ { 4 } = C u S O _ { 4 } + 2 H _ { 2 } O ( - 2 k ) ^ { 2 } - 4 \times 1 \times ( k ^ { 2 } + k - 2 ) \geq 0
HME100K/composed/0224
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
P _ { A } = \frac { F B } { S } = \frac { m B g } { s } = \frac { 9 k g \times 9 . 8 N / k g } { 0 . 0 9 m ^ { 2 } } = 9 8 0 P a a _ { 2 } + g = \frac { G M } { R ^ { 2 } 、 } ( m + n ) ^ { 2 } = m ^ { 2 } + 2 m n + n ^ { 2 } = 9 a = \frac { 2 } { 3 }
HME100K/composed/0228
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
f ^ { \prime } x \geq 0 \forall x \in R 6 \times 4 = 6 4 ( d m ) x _ { 0 } = 3 - ( x _ { 1 } + x _ { 2 } ) = 1 \angle A D B = 9 0 ^ { \circ }
HME100K/composed/0232
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
P = \frac { W } { t } P = \frac { R } { S } 6 3 0 \div 3 1 = 2 0 \cdots 1 8 1 6 1 \div 1 9 = 5 0 \cdots ) x = k \pi + \frac { \pi } { 4 } ( \frac { k \pi } { 2 } , 0 ) k \in z
HME100K/composed/0236
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
x = \frac { - 2 a + 2 b + 1 } { a - 2 } ( a \neq 2 5 a + ( - 1 ) b = 1 7 . \frac { 1 } { x + y } = u \angle F = \Delta A E G \cong \Delta E F C ( \Delta A C = A E = 6
HME100K/composed/0240
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
- \frac { 4 } { 6 } y + ( - \frac { 2 1 } { 6 } y ) = 1 4 6 2 0 0 c m ^ { 3 } = ( 4 6 2 ) L = ( 4 6 2 0 ) \frac { P A ^ { \prime } } { P A } = \frac { 1 9 6 0 p a } { 3 9 2 0 p a } = \frac { 1 } { 2 } I = \frac { V _ { 2 } \max } { R _ { 2 } m a } = \frac { 1 2 V } { 2 0 \Omega } = 0 . 6 A
HME100K/composed/0244
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { 6 } { 7 } \times \frac { 7 } { 6 } \textcircled { < } \frac { 7 } { 6 } A B ^ { 2 } = A D ^ { 2 } + B D ^ { 2 } - 2 A D \cdot B D \cdot \cos \angle A D B \sin \angle O A D = \frac { O D } { A O } \approx \frac { 3 } { 4 } 4 0 \div 4 = 1 0 ( c m ) 1 0 \div 2 = 5 ( c m )
HME100K/composed/0248
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
B C / / P A ( 2 0 + 1 0 ) \div 5 = 6 A C = B P + C D 2 ( \angle A + \angle B ) + \angle A M D ^ { \prime } + \angle B N C ^ { \prime } = 3 6 0 ^ { \circ }
HME100K/composed/0252
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
v = \frac { \lambda } { T } = \frac { \frac { 8 } { 3 } m } { 2 } = \frac { 4 } { 3 } m / s a _ { 3 } a _ { 5 } = a _ { 4 } ^ { 2 } = 6 4 \Rightarrow a _ { 4 } = 8 \Delta = b ^ { 2 } - 4 a c N H _ { 4 } H C O _ { 3 } \xrightarrow { \Delta } N H _ { 3 } \uparrow + C O _ { 2 } \uparrow + H _ { 2 } O
HME100K/composed/0256
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
P + 2 x ^ { 2 } + 1 \frac { m } { m - n } - \frac { n } { m + n } + \frac { 2 m n } { m ^ { 2 } - n ^ { 2 } } \frac { x } { a } + \frac { y } { b } = 1 1 a \neq x \in R
HME100K/composed/0260
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { y - 1 } { 2 } = 2 - \frac { 3 y - 4 } { 5 } x _ { 1 } + x _ { 2 } = \frac { - 4 k ^ { 2 } } { 1 - 1 2 k ^ { 2 } } ( 1 ) 2 x ^ { 2 } y ( - 2 x y ^ { 2 } ) ^ { 3 } + ( 2 x y ) ^ { 3 } ( - x y ^ { 2 } ) ^ { 2 } x = 4 y = \frac { a _ { n } \cdot b _ { n } } { a _ { n + 1 } \cdot b _ { n } } = ( \frac { a _ { n } } { a _ { n - 1 } } ) \cdot ( \frac { b _ { n } } { a _ { n + 1 } } ) = q
HME100K/composed/0264
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
S _ { 1 } = 6 \times 6 = 3 6 \frac { 1 } { 2 } ( m ^ { 2 } + n ^ { 2 } ) = 5 \frac { 1 } { O P ^ { 2 } } + \frac { 1 } { O M ^ { 2 } } = \frac { 5 } { 4 } t = \frac { V _ { 1 } } { a _ { n } } = \frac { 4 } { 8 } = 0 . 5 s
HME100K/composed/0268
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { 5 x } { 1 0 } - \frac { 2 x } { 1 0 } < \frac { 2 } { 1 0 } - 4 x - 4 y = 7 \textcircled { 2 } \Delta A C N \cong \Delta M C B ( S . A . S ) 5 0 N l _ { 1 } = 3 0 N l _ { 2 }
HME100K/composed/0272
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle D F E = 9 0 ^ { \circ } \angle A H E + \angle A H G = 1 8 0 ^ { \circ } \angle A C B = 9 0 ^ { \circ } \angle B A D = 9 0 ^ { \circ }
HME100K/composed/0276
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
x \in [ \frac { 1 - \sqrt { 5 } } { 2 } , \frac { 1 + \sqrt { 5 } } { 2 } ] . I _ { \min } = \frac { U } { R _ { \max } } = \frac { 1 5 V } { 1 0 \Omega + 5 0 \Omega } = 0 . 2 5 A 1 4 2 ^ { \circ } + 9 8 ^ { \circ } = 2 4 0 ^ { \circ } a _ { 1 } = S _ { 1 } = 3 .
HME100K/composed/0280
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { \pi - 2 } { 2 } a ^ { 2 } = S x \geq 2 \cos A = \frac { b ^ { 2 } + c ^ { 2 } - a ^ { 2 } } { 2 b c } = \frac { \sqrt { 3 } } { 2 } 3 0 4 - 1 8 7 = 1 1 7
HME100K/composed/0284
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
b - 8 ( a + 1 ) + a ^ { 2 } - 1 = 0 = \frac { t ^ { 2 } } { 2 } - 6 t + 1 8 3 x + 4 y = 1 8 \vert 2 x - 1 \vert < \frac { 1 } { 3 }
HME100K/composed/0288
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\frac { 1 } { 3 } x - 2 < 1 - \frac { 1 } { 5 } x \angle B C D = \angle C O D = 6 0 ^ { \circ } - \frac { 1 } { 4 n ( n - 1 ) } \geq 2 2 \cdot \frac { b ^ { 2 } } { a } = 1
HME100K/composed/0292
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\frac { 7 3 } { 5 0 \times 7 . 3 \% g } = \frac { 4 4 } { x } 5 \times 5 = 2 5 c m ^ { 2 } x \in [ \frac { \pi } { 4 } - \frac { \theta } { 2 } + k \pi ( x - 1 ) ( x ^ { 2 } + x + 1 ) = x ^ { 3 } - 1
HME100K/composed/0296
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\angle 1 = \angle 2 = \frac { 1 } { 2 } \angle M A N = 6 0 ^ { \circ } a ^ { 3 \times 4 } = a _ { 1 } ^ { 1 2 } 2 5 . 1 2 \div 6 . 2 8 = 4 0 m m = 3
HME100K/composed/0300
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b \geq \frac { 8 } { 5 } a S = k t + ( k \neq 0 ) A B = B C = C D = A D [ 0 . 5 , 0 . 6 ) : 0 . 1 \times 3 . 0 = 0 . 3
HME100K/composed/0304
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
B C = b \times 2 \sqrt { 2 } N a H C O _ { 3 } + H C l = N a C l + H _ { 2 } O + C O _ { 2 } \uparrow \frac { 1 } { 9 } \{ \frac { 1 } { 7 } [ \frac { x + 2 } { 1 5 } + \frac { 4 } { 5 } + 6 ] + 8 \} = 1 3 a + \frac { 1 } { 5 } b \leq 3
HME100K/composed/0308
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S _ { \Delta B M P } = 6 \div 6 \div M C \div \frac { 1 } { 2 } = 6 S _ { 2 } : 3 6 \div 2 = 1 8 \angle B A C = 4 5 ^ { \circ } \frac { \tan \theta + 1 } { \tan \theta - 2 } = \frac { 1 } { 2 }
HME100K/composed/0312
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D C B = 1 8 0 ^ { \circ } \therefore A D / / B C \frac { 1 } { 4 } < x < \frac { 3 } { 2 } D E / / B C , D G / / B F \angle B C D = \frac { 1 } { 2 } \angle A C B = \frac { 1 } { 2 } \times 8 0 = 4 0 ^ { \circ } C
HME100K/composed/0316
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7 3 - 7 = 6 6 q = \frac { b _ { 1 } - b _ { 2 } } { b _ { 2 } - b _ { 1 } } = \frac { 7 - 4 } { 4 - 1 } = 1 x _ { 1 } \cdot x _ { 2 } = \frac { 1 2 k ^ { 2 } - 4 } { 4 k ^ { 2 } + 1 } ) x ( y - x ) + y ( y - x ) - ( x - y ) ^ { 2 }
HME100K/composed/0320
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4 0 : A _ { 3 } ^ { 3 } = 3 \times 2 \times 1 = 6 \angle A D B = 9 0 ^ { \circ } b _ { 1 } = 0 . 5 m 3 \times 3 \times 4 = 3 6 ( c m ^ { 3 } )
HME100K/composed/0324
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
8 4 : 8 5 = : 6 4 5 P E \bot B C \angle D O B = \frac { 2 } { 6 } \times 1 8 0 ^ { \circ } = 6 0 ^ { \circ } \textcircled { 1 } + \textcircled { 2 } = 2 x + 5 y + 3 x - 5 y = 1 0
HME100K/composed/0328
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
S _ { \Delta } A C D = 3 A B + B M + M C = 1 8 c m x ^ { 2 } + ( y + \frac { 1 } { 3 } ) ^ { 2 } = \frac { 4 } { 9 } 5 x - 6 y = 1 8
HME100K/composed/0332
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( a - 3 ) x = a ^ { 2 } - 9 P ( \varepsilon = 3 1 ) = \frac { 1 } { 5 } \times \frac { 3 } { 1 0 } \times 2 = \frac { 3 } { 2 5 } 1 4 2 ^ { \circ } + 9 8 ^ { \circ } = 2 4 0 ^ { \circ } 1 1 3 . 0 4 \times \frac { 2 4 0 } { 3 6 0 } =
HME100K/composed/0336
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9 0 + 1 8 0 = 2 7 0 ^ { \circ } C A = C B , P A = P B , ( 1 ) y = \sin ^ { 2 } \frac { x } { 3 } a b ^ { 2 } - 2 5 a
HME100K/composed/0340
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\angle P B C = \angle A B V ( 1 - \frac { 2 } { c } ) ( 1 - a ) = 1 \frac { 7 } { 1 0 } + x - \frac { 2 } { 5 } = \frac { 8 } { 1 5 } A B / / C D
HME100K/composed/0344
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n ( 1 + c 1 ) = 1 9 . 8 \times 1 0 ^ { - 3 } \times 0 . 1 2 = 2 . 3 7 6 \times 1 0 ^ { - 3 } m o l \Delta A H E \cong \Delta C F G \Delta B F E \cong \Delta D H G \Delta M P E \cong \Delta N P B C A S A \tan ( \frac { \pi } { 2 } + \alpha ) = - \cot \alpha
HME100K/composed/0348
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B C = \frac { 1 0 0 \sin 7 0 ^ { \circ } } { \sin 6 5 ^ { \circ } } \approx 1 0 4 . - 3 9 0 = S _ { n } a x + y = 2 N _ { 1 } = \frac { 1 } { 5 }
HME100K/composed/0352
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\angle G A F = \angle P G Q = 9 0 - \angle G F A \Delta B E F \sim \Delta C G F \angle A B E = \frac { 1 } { 2 } \angle A B Y = 4 5 ^ { \circ } + \frac { 1 } { 2 } \angle B A O t a _ { n } ( 2 x - \frac { 3 } { 3 } ) \in [ 0 , \sqrt { 3 } ]
HME100K/composed/0356
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P = \rho g h = 1 . 0 3 \times 1 0 ^ { 3 } k g / m ^ { 3 } \times 1 0 N / k g \times 6 m = 6 . 1 8 \times 1 0 ^ { 4 } P a \frac { 1 8 } { 7 } > 1 . 4 > 0 . 3 5 > \frac { 2 7 } { 1 0 0 } > \frac { 4 } { 1 5 } \because \angle 1 = \angle 3 = 9 0 ^ { \circ } \therefore \frac { E F } { F D } = \frac { C F } { A C }
HME100K/composed/0360
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O D = 2 x = 2 \sqrt { 2 } x ^ { 3 } + m x ^ { 2 } - n = 6 \frac { 2 x ^ { 2 } } { x + 1 } = ( a + 2 ) x + 5 - 3 a 4 ) 3 \sin 3 x + 4 \cos 3 x = 5 ( \frac { 3 } { 5 } \sin 3 x + \frac { 4 } { 5 } \cos 3 x ) = 5 \sin ( 3 x + \arctan \frac { 4 } { 3 } )
HME100K/composed/0364
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4 ^ { 2 } = 1 6 F ^ { \prime } ( x ) = \frac { f ( x ) - f ( x ) } { e ^ { x } } > 0 \cos ^ { 2 } . a - \sin ^ { 2 } a \angle A D H = \angle H D C = \angle D C H = \angle D A E = 4 5 ^ { \circ }
HME100K/composed/0368
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I _ { 2 } = \frac { V } { R _ { 2 } } = \frac { 1 5 V } { 5 0 \Omega } = 0 . 3 A 8 7 x + 4 = y S _ { \Delta } C B D = 2 4 - 9 - 9 = 6 C D = 1 5 0 ^ { \circ } , B C = 1 2
HME100K/composed/0372
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
2 x - a < 1 \angle D = 4 5 ^ { \circ } \rho = \frac { R s } { 6 } \angle B A C = 1 8 0 ^ { \circ } - \alpha - 3 \alpha = 1 8 0 ^ { \circ } - 4 \alpha
HME100K/composed/0376
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\angle B O C = \alpha = 1 5 0 ^ { \circ } 5 \% = \frac { 5 } { 1 0 0 } = \frac { 1 } { 2 0 } f = 0 . 2 6 = 0 . 2 \times 9 8 N = 1 9 . 6 N A D \bot E F
HME100K/composed/0380
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- \frac { 5 } { 4 } \leq b + c \leq - \frac { 3 } { 4 } = - \frac { 1 } { 2 } \times ( - \frac { 1 } { 2 } + 1 ) \neq 0 \frac { 3 } { x + 2 } - \frac { x - 1 } { x ^ { 2 } - 4 } = 1 1 7
HME100K/composed/0384
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3 \cdot a _ { 1 } = \frac { 1 } { 3 } \times 3 = 1 P _ { B } = \frac { F _ { B } } { S _ { B } } = \frac { 2 5 0 N } { 5 \times 1 0 ^ { - 2 } h ^ { 2 } } = 5 0 0 0 P a 2 0 \times 1 0 0 \times 3 0 + 2 0 \times 2 5 a . - 6 0 0 \times 2 0 \geq 8 0 0 0 0 \sqrt [ 3 ] { 9 ^ { 2 } } \times \sqrt { 2 7 } \div \sqrt [ 6 ] { 3 }
HME100K/composed/0388
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A B = A D = D C = C B = \sqrt { 5 } P = \frac { w } { t } = \frac { 1 1 0 J } { 2 8 } = 5 5 w 6 ( t _ { 1 } - \frac { 2 } { 3 } ) + 5 ( \frac { 1 6 } { 3 } - \frac { 1 } { 3 } - t _ { 1 } ) = 2 4 - \sqrt { ( - 1 ) ^ { 2 } }
HME100K/composed/0392
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
\angle G B F + \angle B F C = 9 0 ^ { \circ } \frac { A D } { C B } = \frac { A ^ { \prime } D ^ { \prime } } { C ^ { \prime } B ^ { \prime } } = \frac { 4 . 8 } { 4 . 5 } = \frac { 3 . 2 } { Z } \cos A = \frac { 6 ^ { 2 } + c ^ { 2 } - a ^ { 2 } } { 2 b c } P = \frac { F } { S } = \frac { 3 . 3 \times 1 0 ^ { 3 } N } { 0 . 3 m ^ { 2 } } = 1 . 1 \times 1 0 ^ { 6 }
HME100K/composed/0396
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
I = 4 . 5 \tan 3 0 ^ { \circ } = \frac { A D } { C D } = \frac { \sqrt { 3 } } { 3 } - f ( x ) = - ( x - \frac { 1 } { x } ) = - x + \frac { 1 } { x } ( a - b ) ^ { 2 } + a ( 2 b - a )
HME100K/composed/0400
/tmp/hf-datasets-cache/medium/datasets/78915396673401-config-parquet-and-info-boydcheung-TAL_OCR_Compos-e25b3c38/hub/datasets--boydcheung--TAL_OCR_Composed_37K/snapshots/741622f82cd5acc1a5c9d7b9180040b6cce45582/TAL_OCR_Composed.tar.gz
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Dataset Information

TAL_OCR_Composed_37K is a composed set of TAL OCR datasets. The original images and labels are downloaded from TAL website (https://ai.100tal.com/dataset), includes mainly

  • K12 Handwritten Chinese texts, English texts, Math formulas.
  • Printed K12 materials.

Images are tiled randomly to have a more compact view. There are total 32K images and text pairs after processing:

  • TAL_OCR_CHN/composed (645 images)
  • TAL_OCR_ENG/composed (399 images)
  • TAL_OCR_MATH/composed (420 images)
  • TAL_K12_PRINT/composed (17109 images)
  • HME100K/composed (18625 images)

Label format 

{"image": "path_to_image", "ocr" : "text", "data_name": "xx"}

Citation

Credits to the TAL team (https://github.com/Phymond/HME100K).

@article{yuan2022syntax,
  title={Syntax-Aware Network for Handwritten Mathematical Expression Recognition},
  author={Yuan, Ye and Liu, Xiao and Dikubab, Wondimu and Liu, Hui and Ji, Zhilong and Wu, Zhongqin and Bai, Xiang},
  journal={arXiv preprint arXiv:2203.01601},
  year={2022}
}
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Collection including boydcheung/TAL_OCR_Composed_37K