pdf_filename stringlengths 46 46 | page_number int64 1 1 | test_type stringclasses 1
value | text stringclasses 0
values | case_sensitive bool 0
classes | formula stringlengths 40 81 | first_text stringclasses 0
values | second_text stringclasses 0
values |
|---|---|---|---|---|---|---|---|
bench_data/pdfs/arxiv_math/arxiv_math_0801.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{89} + \mu_{801} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0802.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(4 x)}{x} = 4 - \alpha_{802} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0803.pdf | 1 | math_formula | null | null | \sum_{803_y=1}^{N} \frac{1}{803_y^{2}} = \zeta(2) + \theta_{803} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0804.pdf | 1 | math_formula | null | null | \sum_{804_x=1}^{N} \frac{1}{804_x^{4}} = \zeta(4) + \theta_{804} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0805.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial z^2} + \lambda^2 \psi = DERIV_136 + \lambda_{805} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0806.pdf | 1 | math_formula | null | null | \lim_{x \to 0} \frac{\sin(9 x)}{x} = 9 - \alpha_{806} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0807.pdf | 1 | math_formula | null | null | \frac{\partial^2 \Phi}{\partial y^2} + \lambda^2 \Phi = DERIV_160 + \lambda_{807} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0808.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{98} + \mu_{808} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0809.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{90} + \mu_{809} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0810.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{85} + \mu_{810} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0811.pdf | 1 | math_formula | null | null | \int_{0}^{b} t^{5} e^{-7 t} dt = \frac{120}{7^{6}} + \gamma_{811} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0812.pdf | 1 | math_formula | null | null | \sum_{812_y=0}^{N} \frac{1}{812_y^{2}} = \zeta(2) + \theta_{812} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0813.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(8 t)}{t} = 8 - \alpha_{813} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0814.pdf | 1 | math_formula | null | null | \sum_{814_z=0}^{N} \frac{1}{814_z^{2}} = \zeta(2) + \theta_{814} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0815.pdf | 1 | math_formula | null | null | \int_{0}^{\pi} y^{4} e^{-8 y} dy = \frac{24}{8^{5}} + \gamma_{815} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0816.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(5 t)}{t} = 5 - \alpha_{816} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0817.pdf | 1 | math_formula | null | null | \frac{\partial^2 \Phi}{\partial z^2} + \lambda^2 \Phi = DERIV_193 + \lambda_{817} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0818.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{73} + \mu_{818} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0819.pdf | 1 | math_formula | null | null | \frac{\partial^2 h}{\partial t^2} + \beta^2 h = DERIV_202 + \lambda_{819} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0820.pdf | 1 | math_formula | null | null | \lim_{y \to 0} \frac{\sin(3 y)}{y} = 3 - \alpha_{820} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0821.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{50} + \mu_{821} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0822.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{153} + \mu_{822} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0823.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(6 t)}{t} = 6 - \alpha_{823} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0824.pdf | 1 | math_formula | null | null | \int_{0}^{\pi} y^{2} e^{-6 y} dy = \frac{2}{6^{3}} + \gamma_{824} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0825.pdf | 1 | math_formula | null | null | \sum_{825_t=0}^{N} \frac{1}{825_t^{4}} = \zeta(4) + \theta_{825} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0826.pdf | 1 | math_formula | null | null | \int_{-\infty}^{\pi} t^{4} e^{-5 t} dt = \frac{24}{5^{5}} + \gamma_{826} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0827.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{109} + \mu_{827} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0828.pdf | 1 | math_formula | null | null | \frac{\partial^2 u}{\partial z^2} + k^2 u = DERIV_193 + \lambda_{828} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0829.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial x^2} + k^2 \psi = DERIV_145 + \lambda_{829} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0830.pdf | 1 | math_formula | null | null | \sqrt{z1^2 + z2^2} = \sqrt{130} + \mu_{830} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0831.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial x^2} + k^2 \psi = DERIV_106 + \lambda_{831} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0832.pdf | 1 | math_formula | null | null | \frac{\partial^2 \Phi}{\partial y^2} + \lambda^2 \Phi = DERIV_137 + \lambda_{832} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0833.pdf | 1 | math_formula | null | null | \sqrt{y1^2 + y2^2} = \sqrt{117} + \mu_{833} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0834.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(5 z)}{z} = 5 - \alpha_{834} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0835.pdf | 1 | math_formula | null | null | \frac{\partial^2 h}{\partial z^2} + \lambda^2 h = DERIV_106 + \lambda_{835} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0836.pdf | 1 | math_formula | null | null | \frac{\partial^2 h}{\partial y^2} + \lambda^2 h = DERIV_149 + \lambda_{836} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0837.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial z^2} + \beta^2 \psi = DERIV_85 + \lambda_{837} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0838.pdf | 1 | math_formula | null | null | \frac{\partial^2 u}{\partial t^2} + \lambda^2 u = DERIV_52 + \lambda_{838} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0839.pdf | 1 | math_formula | null | null | \frac{\partial^2 \Phi}{\partial z^2} + \beta^2 \Phi = DERIV_137 + \lambda_{839} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0840.pdf | 1 | math_formula | null | null | \lim_{z \to 0} \frac{\sin(6 z)}{z} = 6 - \alpha_{840} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0841.pdf | 1 | math_formula | null | null | \sqrt{t1^2 + t2^2} = \sqrt{34} + \mu_{841} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0842.pdf | 1 | math_formula | null | null | \int_{a}^{\infty} x^{2} e^{-3 x} dx = \frac{2}{3^{3}} + \gamma_{842} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0843.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial z^2} + k^2 \psi = DERIV_85 + \lambda_{843} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0844.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(7 t)}{t} = 7 - \alpha_{844} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0845.pdf | 1 | math_formula | null | null | \int_{-\infty}^{1} z^{3} e^{-7 z} dz = \frac{6}{7^{4}} + \gamma_{845} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0846.pdf | 1 | math_formula | null | null | \sum_{846_x=0}^{\infty} \frac{1}{846_x^{3}} = \zeta(3) + \theta_{846} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0847.pdf | 1 | math_formula | null | null | \int_{0}^{b} z^{5} e^{-7 z} dz = \frac{120}{7^{6}} + \gamma_{847} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0848.pdf | 1 | math_formula | null | null | \frac{\partial^2 \psi}{\partial z^2} + \beta^2 \psi = DERIV_58 + \lambda_{848} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0849.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(5 t)}{t} = 5 - \alpha_{849} | null | null |
bench_data/pdfs/arxiv_math/arxiv_math_0850.pdf | 1 | math_formula | null | null | \lim_{t \to 0} \frac{\sin(5 t)}{t} = 5 - \alpha_{850} | null | null |
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