id stringlengths 1 5 | image imagewidth (px) 15 2.93k | text stringlengths 1 469 |
|---|---|---|
0 | ( 2 ) 2 N a O H + C u S O _ { 4 } = N a _ { 2 } S O _ { 4 } + C u ( O H ) _ { 2 } \downarrow | |
1 | \angle A C B = \angle A ^ { \prime } C B ^ { \prime } | |
2 | 1 0 \times ( x + 5 ) = 1 3 \times ( \frac { 5 } { 7 } x + 5 ) | |
3 | l _ { 2 } = O B = \frac { O A } { 4 } \times 3 = \frac { 1 . 2 m } { 4 } \times 3 = 0 . 9 m | |
4 | \angle A = 4 0 ^ { \circ } | |
5 | 2 n + H _ { 2 } S o _ { 4 } = 2 n S _ { 4 } + H _ { 2 } \uparrow | |
6 | \angle B E C = 3 \angle A B E | |
7 | - \frac { b } { 2 0 } = - \frac { - k } { 2 } = \frac { k } { 2 } = 1 | |
8 | N a C l O _ { 3 } + K C l = K C l O _ { 3 } + N a C l | |
9 | \textcircled { 1 } \frac { 1 } { 4 } = \frac { 1 \times 2 } { 4 \times 2 } = \frac { 2 } { 8 } | |
10 | 2 0 \% = \frac { 1 } { 5 } | |
11 | \angle C O E = \frac { 2 } { 3 } \times 9 0 ^ { \circ } = 6 0 ^ { \circ } | |
12 | L H S = \sqrt { - \frac { 1 } { 2 } } \cdot \sqrt { 4 } | |
13 | + 2 \square | |
14 | \angle B + \angle B F D = \angle F D C | |
15 | x ^ { 2 } - 3 x + 2 = 0 | |
16 | f ( x ) = e ^ { x } - a x ^ { 3 } | |
17 | V y = \sqrt { V _ { 0 } ^ { 2 } - 4 x ^ { 2 } } = \frac { \sqrt { 3 } V _ { 0 } } { 2 } | |
18 | V _ { t } ^ { 2 } - V _ { 0 } ^ { 2 } = 2 a x | |
19 | 2 A l + 6 H C l = 2 A l C l _ { 3 } + 3 H _ { 2 } \uparrow | |
20 | 1 2 . 5 6 = 6 ( d m ) | |
21 | - ( m + 2 ) ^ { 2 } \geq 0 | |
22 | S _ { n } = \frac { 2 n } { 3 ^ { n + 1 } } | |
23 | \angle E A D = \angle O A D | |
24 | \frac { \sqrt { 3 } } { 2 } \neq \frac { 1 } { 2 } | |
25 | x \in [ - 1 , 1 ] | |
26 | 9 6 0 d m ^ { 3 } = 0 . 9 6 m ^ { 3 } | |
27 | 4 0 0 0 0 \times 6 - 2 4 0 0 0 0 ( c m ) | |
28 | \Delta = 4 8 ( 1 2 - m ^ { 2 } ) > 0 | |
29 | \frac { 1 8 0 ^ { \circ } - 1 0 8 ^ { \circ } } { 2 } = \frac { 7 2 ^ { \circ } } { 2 } = 3 6 ^ { \circ } | |
30 | 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 | |
31 | g ^ { \prime } ( x ) = \frac { 2 \times \ln x - x + x } { ( \ln x ) ^ { 2 } } > 0 | |
32 | \angle M D B + \angle C D N = 7 5 ^ { \circ } | |
33 | y = - ( x + a ) ^ { 2 } + b | |
34 | \because \frac { B E } { C D } = \frac { B D } { C F } | |
35 | y = \frac { k _ { 1 } } { x - 2 } . \because y = y _ { 1 } - y _ { 2 } | |
36 | y _ { 1 } > y _ { 2 } | |
37 | \Delta A B C \sim \Delta F C D | |
38 | a _ { n } - a _ { n - 1 } = 2 n - 1 | |
39 | \angle A O D = 2 0 0 ^ { \circ } - a | |
40 | P = \frac { W } { t } = \frac { 4 0 J } { 1 0 s } = 4 W | |
41 | \Delta A O F \cong \Delta C O E ( A A S ) | |
42 | C H _ { 3 } - C H - C O O H + H C l \rightarrow C H _ { 3 } - C H - C O O | |
43 | a \geq \frac { 3 } { 2 } . | |
44 | \angle O A C = 4 5 ^ { \circ } = \angle O C A | |
45 | ( 3 ) \frac { ( 1 ) - ( 2 ) } { 2 } = \frac { 2 5 6 } { 2 } = \frac { 1 2 8 } { 2 } = 6 4 | |
46 | - 2 x ^ { 2 } + 2 0 x < 0 | |
47 | a _ { n + 1 } = 9 \times 1 0 ^ { n } | |
48 | C Q = B C - B Q = 6 0 - 2 \sqrt { 3 } ( c m ) | |
49 | \angle A B C = \angle E A B \therefore H E = B E \because B E = C E | |
50 | 2 + 2 + \frac { 1 } { 8 } \times 3 J | |
51 | \frac { 1 } { 2 } t ^ { 2 } + \frac { 3 } { 2 } t + 4 t = 6 3 | |
52 | \beta = x + 2 k \pi - \alpha C k \in 8 7 | |
53 | 1 + ( 2 - p ) ^ { 2 } + 9 + ( 1 - p ) ^ { 2 } = 1 7 | |
54 | x + y = 9 1 | |
55 | ( 1 ) y = \frac { x ^ { 2 } + x + 1 } { x } = ( x + \frac { 1 } { x } ) + 1 \geq 2 \sqrt { x \cdot \frac { 1 } { x } } + 1 | |
56 | \therefore 1 8 0 ^ { \circ } - \angle C Q P - \angle C P Q = 1 8 0 ^ { \circ } - \angle A Q B - \angle B | |
57 | 2 y + 2 < 5 y - 1 | |
58 | x + 5 > - 1 | |
59 | x < 4 | |
60 | 6 . 2 8 \times 6 0 0 = 3 7 6 8 ( k g ) | |
61 | \frac { 1 } { 2 } x \times 5 \times 2 | |
62 | m g h = \frac { 1 } { 2 } m v ^ { 2 } | |
63 | 4 0 0 0 \times 6 0 0 0 = 2 4 0 0 0 0 0 0 c m ^ { 2 } | |
64 | \angle F E C = 6 0 ^ { \circ } | |
65 | f ( 2 ) = f ( \frac { 1 } { 2 } \times 4 ) | |
66 | y = 0 | |
67 | + x _ { 2 } = \frac { 1 2 k ^ { 2 } } { 1 + 3 k ^ { 2 } } | |
68 | 2 B O Q = 6 0 \because O Q ^ { \because } = \frac { 1 } { 2 } 0 | |
69 | a > 0 , b > 0 , \frac { a } { \vert a \vert } + \frac { b } { \vert b \vert } = 2 | |
70 | N a _ { 2 } C O _ { 3 } + 2 H C l = 2 N a C l + H _ { 2 } O + C O _ { 2 } \uparrow | |
71 | A B = 4 , A D = 8 | |
72 | A P ^ { \prime } = P C | |
73 | A C = \sqrt { 2 ^ { 2 } + 2 ^ { 2 } } = 2 \sqrt { 2 } | |
74 | T = \frac { \pi } { 1 w 1 } = \frac { x } { 4 } | |
75 | 1 6 5 - 5 9 + 6 5 = 1 6 5 - 6 5 + 5 9 | |
76 | C H _ { 2 } = C H _ { 2 } + B r \rightarrow C H _ { 2 } B r C H _ { 2 } B r | |
77 | \overrightarrow { a } - ( 2 , 2 ) = ( 1 , - 3 ) | |
78 | x _ { 1 } = 9 , X _ { 2 } \div - 1 | |
79 | 1 4 0 - 9 0 = 5 0 | |
80 | = \frac { 1 2 } { \frac { \sqrt { 2 } } { 2 } } | |
81 | 3 ( x - 1 ) = y + 5 | |
82 | D E = \frac { 4 \sqrt { 2 } + \sqrt { 2 } x } { 2 } - y | |
83 | N a _ { 2 } C O _ { 3 } + C a C l _ { 2 } = C a C O _ { 3 } \downarrow + 2 N a C l | |
84 | ( 1 ) 1 3 \div 4 = 3 \cdots | |
85 | y = m | |
86 | a \in [ - 1 , \frac { 1 } { 3 } ] | |
87 | D x \leq 2 | |
88 | k _ { Q E } = \frac { 0 - ( - a k ) } { a - ( - a ) } = \frac { k } { 2 } | |
89 | a _ { n } = 2 n + 1 | |
90 | y = \sqrt { 9 - x ^ { 2 } } | |
91 | \frac { a _ { 1 0 } + a _ { 9 } } { a _ { 9 } } < 0 | |
92 | \frac { \vert x - 2 \vert } { x - 2 } - \frac { \vert x - 1 \vert } { \vert x - 1 \vert } + \frac { \vert x \vert } { x } | |
93 | \sin ( \frac { 3 \pi } { 2 } + \alpha ) = - \cos \alpha | |
94 | n = 1 5 0 r / \min = 2 . 5 r / s | |
95 | z n + H _ { 2 } S O _ { 4 } = Z n S O _ { 4 } + H _ { 2 } \uparrow | |
96 | \frac { 1 } { 2 0 1 6 } ) + \cdots + f ( 1 ) + f ( 2 ) + | |
97 | - 3 ^ { 2 } - ( - 1 \frac { 2 } { 5 } ) \div 1 \frac { 5 } { 9 } \times ( - \frac { 5 } { 6 } ) | |
98 | y = x ^ { 2 } - 4 x - 5 | |
99 | ( x - 6 0 ) ( x - 6 0 ) = 0 \therefore x = |
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HME100K – Hugging Face Version
Dataset Name: HME100K (Hugging Face Version)
Original Source: https://www.kaggle.com/datasets/cutedeadu/hme100k
Original Author (Kaggle): cutedeadu
Overview
HME100K is a dataset of handwritten mathematical expressions. Each sample consists of:
- An image containing a handwritten math expression
- A corresponding LaTeX-style text annotation
This dataset is useful for:
- Handwritten Mathematical Expression Recognition (HMER)
- OCR research for mathematical formulas
- Sequence-to-sequence modeling (image-to-LaTeX)
- Vision-language modeling tasks
Dataset Structure
This Hugging Face version provides the dataset in a structured format with 3 columns:
- id: Unique identifier of each sample
- image: Handwritten math expression image
- text: Ground truth LaTeX-style annotation
The dataset is stored in Apache Arrow (PyArrow) format for efficient loading with the Hugging Face datasets library.
Why This Version?
This version has been converted into Hugging Face Dataset format to:
- Make it easier to load using the datasets library
- Enable fast and memory-efficient access
- Allow seamless integration into Hugging Face training pipelines
- Provide convenient usage for researchers already working in the Hugging Face ecosystem
This conversion does NOT modify the original data content. It only restructures the dataset for better accessibility.
Credit
All original data credit goes to:
- cutedeadu (Kaggle Author)
- Original dataset: HME100K
- Source: https://www.kaggle.com/datasets/cutedeadu/hme100k
If you use this dataset in your research, please consider crediting the original author and Kaggle source accordingly.
Hugging Face Conversion This Hugging Face formatted version was created to improve accessibility and usability for the open research community.
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