yoshitomo-matsubara
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README.md
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This is the ***Easy set*** of our SRSD-Feynman datasets, which consists of the following 30 different physics formulas:
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| I.12.5 | \\(F = q_2 E\\) |
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| I.14.3 | \\(U = m g z\\) |
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| I.14.4 | \\(U = \frac{k_\text{spring} x^2}{2}\\) |
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| I.18.12 | \\(\tau = r F \sin\theta\\) |
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| I.18.16 | \\(L = m r v \sin\theta\\) |
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| I.25.13 | \\(V = \frac{q}{C}\\) |
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| I.26.2 | \\(n = \frac{\sin\theta_1}{\sin\theta_2}\\) |
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| I.27.6 | \\(f = \frac{1}{\frac{1}{d_1}+\frac{n}{d_2}}\\) |
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| I.30.5 | \\(d = \frac{\lambda}{n \sin\theta}\\) |
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| I.43.16 | \\(v = \mu q \frac{V}{d}\\) |
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| I.47.23 | \\(c = \sqrt{\frac{\gamma P}{\rho}}\\) |
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| II.2.42 | \\(J = \kappa (T_2-T_1) \frac{A}{d}\\) |
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| II.3.24 | \\(h = \frac{W}{4 \pi r^2}\\) |
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| II.4.23 | \\(\phi = \frac{q}{4 \pi \epsilon r}\\) |
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| II.8.31 | \\(u = \frac{\epsilon E^2}{2}\\) |
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| II.10.9 | \\(E = \frac{\sigma_\text{free}}{\epsilon} \frac{1}{1+\chi}\\) |
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| II.13.17 | \\(B = \frac{1}{4 \pi \epsilon c^2} \frac{2 I}{r}\\) |
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| II.15.4 | \\(U = -\mu B \cos\theta\\) |
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| II.15.5 | \\(U = -p E \cos\theta\\) |
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| II.27.16 | \\(S = \epsilon c E^2\\) |
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| II.27.18 | \\(u = \epsilon E^2\\) |
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| II.34.11 | \\(\omega = g \frac{q B}{2 m}\\) |
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| II.34.29b | \\(U = 2 \pi g \mu B \frac{J_z}{h}\\) |
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| II.38.3 | \\(F = Y A \frac{\Delta l}{l}\\) |
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| II.38.14 | \\(\mu = \frac{Y}{2 (1+\sigma)}\\) |
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| III.7.38 | \\(\omega = \frac{4 \pi \mu B}{h}\\) |
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| III.12.43 | \\(J = \frac{m h}{2 \pi}\\) |
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| III.15.27 | \\(k = \frac{2 \pi}{N b} s\\) |
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More details of these datasets such as variables and sampling ranges are provided in [the paper and its supplementary material](https://arxiv.org/abs/2206.10540).
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### Supported Tasks and Leaderboards
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```bibtex
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@article{matsubara2022rethinking,
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title={Rethinking Symbolic Regression Datasets and Benchmarks for Scientific Discovery},
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author={Matsubara, Yoshitomo and Chiba, Naoya and Igarashi, Ryo and
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journal={arXiv preprint arXiv:2206.10540},
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year={2022}
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}
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- Yoshitomo Matsubara (@yoshitomo-matsubara)
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- Naoya Chiba (@nchiba)
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- Ryo Igarashi (@rigarash)
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- Tatsunori Taniai
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- Yoshitaka Ushiku (@yushiku)
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This is the ***Easy set*** of our SRSD-Feynman datasets, which consists of the following 30 different physics formulas:
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[![Click here to open a PDF file](problem_table.png)](https://huggingface.co/datasets/yoshitomo-matsubara/srsd-feynman_easy/resolve/main/problem_table.pdf)
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More details of these datasets are provided in [the paper and its supplementary material](https://arxiv.org/abs/2206.10540).
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### Supported Tasks and Leaderboards
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```bibtex
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@article{matsubara2022rethinking,
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title={Rethinking Symbolic Regression Datasets and Benchmarks for Scientific Discovery},
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author={Matsubara, Yoshitomo and Chiba, Naoya and Igarashi, Ryo and Ushiku, Yoshitaka},
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journal={arXiv preprint arXiv:2206.10540},
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year={2022}
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}
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- Yoshitomo Matsubara (@yoshitomo-matsubara)
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- Naoya Chiba (@nchiba)
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- Ryo Igarashi (@rigarash)
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- Yoshitaka Ushiku (@yushiku)
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