Add problem table and update README

README.md

@@ -60,51 +60,10 @@ We carefully reviewed the properties of each formula and its variables in [the F
 
 This is the ***Medium set*** of our SRSD-Feynman datasets, which consists of the following 40 different physics formulas:
 
-| ID        | Formula                                                                                     |
-|-----------|---------------------------------------------------------------------------------------------|
-| I.8.14    | \\(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\) |
-| I.10.7    | \\(m = \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}\\) |
-| I.11.19   | \\(A = x_1 y_1+x_2 y_2+x_3 y_3\\) |
-| I.12.2    | \\(F = \frac{q_1 q_2}{4 \pi \epsilon r^2}\\) |
-| I.12.11   | \\(F = q \left(E + B v \sin\left(\theta\right)\right)\\) |
-| I.13.4    | \\(K = \frac{1}{2} m (v^2 + u^2 + w^2)\\) |
-| I.13.12   | \\(U = G m_1 m_2 \left(\frac{1}{r_2}-\frac{1}{r_1}\right)\\) |
-| I.15.10   | \\(p = \frac{m_0 v}{\sqrt{1-v^2/c^2}}\\) |
-| I.16.6    | \\(v_1 = \frac{u+v}{1+u v/c^2}\\) |
-| I.18.4    | \\(r = \frac{m_1 r_1+m_2 r_2}{m_1+m_2}\\) |
-| I.24.6    | \\(E = \frac{1}{4} m (\omega^2+\omega_0^2) x^2\\) |
-| I.29.4    | \\(k = \frac{\omega}{c}\\) |
-| I.32.5    | \\(P = \frac{q^2 a^2}{6 \pi \epsilon c^3}\\) |
-| I.34.8    | \\(\omega = \frac{q v B}{p}\\) |
-| I.34.10   | \\(\omega = \frac{\omega_0}{1-v/c}\\) |
-| I.34.27   | \\(W = \frac{h}{2 \pi} \omega\\) |
-| I.38.12   | \\(r = 4 \pi \epsilon \frac{\left(h/\left(2 \pi\right)\right)^2}{m q^2}\\) |
-| I.39.10   | \\(U = \frac{3}{2} P V\\) |
-| I.39.11   | \\(U = \frac{P V}{\gamma-1}\\) |
-| I.43.31   | \\(D = \mu k T\\) |
-| I.43.43   | \\(\kappa = \frac{1}{\gamma - 1} \frac{k v}{\sigma_c}\\) |
-| I.48.2    | \\(E = \frac{m c^2}{\sqrt{1-v^2/c^2}}\\) |
-| II.6.11   | \\(\phi = \frac{1}{4 \pi \epsilon} \frac{p \cos\theta}{r^2}\\) |
-| II.8.7    | \\(U = \frac{3}{5}  \frac{Q^2}{4 \pi \epsilon a}\\) |
-| II.11.3   | \\(x = \frac{q E}{m (\omega_0^2-\omega^2)}\\) |
-| II.21.32  | \\(\phi = \frac{q}{4 \pi \epsilon r (1-v/c)}\\) |
-| II.34.2   | \\(\mu = \frac{q v r}{2}\\) |
-| II.34.2a  | \\(I = \frac{q v}{2 \pi r}\\) |
-| II.34.29a | \\(\mu = \frac{q h}{4 \pi m}\\) |
-| II.37.1   | \\(E = \mu (1+\chi) B\\) |
-| III.4.32  | \\(n = \frac{1}{\exp(h \omega/2 \pi k T) - 1}\\) |
-| III.8.54  | \\(|C|^2 = \sin^2 \frac{2 \pi A t}{h}\\) |
-| III.13.18 | \\(v = \frac{4 \pi A b^2}{h} k\\) |
-| III.14.14 | \\(I = I_0 \left(\exp\left(q \Delta V/\kappa T\right)-1\right)\\) |
-| III.15.12 | \\(E = 2 A (1-\cos k d)\\) |
-| III.15.14 | \\(m = \frac{h^2}{8 \pi^2 A b^2}\\) |
-| III.17.37 | \\(f = \beta (1+\alpha \cos\theta)\\) |
-| III.19.51 | \\(E = -\frac{m q^4}{2 (4 \pi \epsilon)^2 (h/(2 \pi))^2 n^2}\\) |
-| B8        | \\(U = \frac{E}{1+\frac{E}{m c^2} (1-\cos\theta)}\\) |
-| B18       | \\(\rho = \frac{3}{8 \pi G} \left(\frac{c^2 k_\text{f}}{a_\text{f}^2}+H^2\right)\\) |
-
-
-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).  
+[![Click here to open a PDF file](problem_table.png)](https://huggingface.co/datasets/yoshitomo-matsubara/srsd-feynman_medium/resolve/main/problem_table.pdf)
+
+
+More details of these datasets are provided in [the paper and its supplementary material](https://arxiv.org/abs/2206.10540).  
 
 ### Supported Tasks and Leaderboards
 
@@ -199,7 +158,7 @@ MIT License
 ```bibtex
 @article{matsubara2022rethinking,
   title={Rethinking Symbolic Regression Datasets and Benchmarks for Scientific Discovery},
-  author={Matsubara, Yoshitomo and Chiba, Naoya and Igarashi, Ryo and Tatsunori, Taniai and Ushiku, Yoshitaka},
+  author={Matsubara, Yoshitomo and Chiba, Naoya and Igarashi, Ryo and Ushiku, Yoshitaka},
   journal={arXiv preprint arXiv:2206.10540},
   year={2022}
 }
@@ -211,7 +170,6 @@ Authors:
 - Yoshitomo Matsubara (@yoshitomo-matsubara)
 - Naoya Chiba (@nchiba)
 - Ryo Igarashi (@rigarash)
-- Tatsunori Taniai
 - Yoshitaka Ushiku (@yushiku)