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| 1 | Package:·python-pandas-doc | 1 | Package:·python-pandas-doc |
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| 160 | ··<a·class="reference·internal"·href="../io.html"> | 160 | ··<a·class="reference·internal"·href="../io.html"> |
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| 184 | ·<li·class="toctree-l1"> | ||
| 185 | ··<a·class="reference·internal"·href="../indexing.html"> | ||
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| 9 | ····*·_\x8M_\x8a_\x8s_\x8t_\x8o_\x8d_\x8o_\x8n | 9 | ····*·_\x8M_\x8a_\x8s_\x8t_\x8o_\x8d_\x8o_\x8n |
| 10 | [Unknown·INPUT·type] | 10 | [Unknown·INPUT·type] |
| 11 | ····*·_\x8I_\x8n_\x8p_\x8u_\x8t_\x8/_\x8o_\x8u_\x8t_\x8p_\x8u_\x8t | 11 | ····*·_\x8I_\x8n_\x8p_\x8u_\x8t_\x8/_\x8o_\x8u_\x8t_\x8p_\x8u_\x8t. |
| 12 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8p_\x8i_\x8c_\x8k_\x8l_\x8e | ||
| 13 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8p_\x8i_\x8c_\x8k_\x8l_\x8e | ||
| 14 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8t_\x8a_\x8b_\x8l_\x8e | ||
| 15 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8c_\x8s_\x8v | ||
| 16 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8c_\x8s_\x8v | ||
| 17 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8f_\x8w_\x8f | ||
| 18 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8c_\x8l_\x8i_\x8p_\x8b_\x8o_\x8a_\x8r_\x8d | ||
| 19 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8c_\x8l_\x8i_\x8p_\x8b_\x8o_\x8a_\x8r_\x8d | ||
| 20 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8e_\x8x_\x8c_\x8e_\x8l | ||
| 21 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8e_\x8x_\x8c_\x8e_\x8l | ||
| 22 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8E_\x8x_\x8c_\x8e_\x8l_\x8F_\x8i_\x8l_\x8e | ||
| 23 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8E_\x8x_\x8c_\x8e_\x8l_\x8F_\x8i_\x8l_\x8e_\x8._\x8b_\x8o_\x8o_\x8k | ||
| 24 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8E_\x8x_\x8c_\x8e_\x8l_\x8F_\x8i_\x8l_\x8e_\x8._\x8s_\x8h_\x8e_\x8e_\x8t_\x8__\x8n_\x8a_\x8m_\x8e_\x8s | ||
| 25 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8E_\x8x_\x8c_\x8e_\x8l_\x8F_\x8i_\x8l_\x8e_\x8._\x8p_\x8a_\x8r_\x8s_\x8e | ||
| 26 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8e_\x8x_\x8c_\x8e_\x8l | ||
| 27 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8E_\x8x_\x8c_\x8e_\x8l_\x8W_\x8r_\x8i_\x8t_\x8e_\x8r | ||
| 28 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8j_\x8s_\x8o_\x8n | ||
| 29 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8j_\x8s_\x8o_\x8n_\x8__\x8n_\x8o_\x8r_\x8m_\x8a_\x8l_\x8i_\x8z_\x8e | ||
| 30 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8j_\x8s_\x8o_\x8n | ||
| 31 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8j_\x8s_\x8o_\x8n_\x8._\x8b_\x8u_\x8i_\x8l_\x8d_\x8__\x8t_\x8a_\x8b_\x8l_\x8e_\x8__\x8s_\x8c_\x8h_\x8e_\x8m_\x8a | ||
| 32 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8h_\x8t_\x8m_\x8l | ||
| 33 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8h_\x8t_\x8m_\x8l | ||
| 34 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8h_\x8t_\x8m_\x8l | ||
| 35 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8x_\x8m_\x8l | ||
| 36 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8x_\x8m_\x8l | ||
| 37 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8l_\x8a_\x8t_\x8e_\x8x | ||
| 38 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8l_\x8a_\x8t_\x8e_\x8x | ||
| 39 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8h_\x8d_\x8f | ||
| 40 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8p_\x8u_\x8t | ||
| 41 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8a_\x8p_\x8p_\x8e_\x8n_\x8d | ||
| 42 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8g_\x8e_\x8t | ||
| 43 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8s_\x8e_\x8l_\x8e_\x8c_\x8t | ||
| 44 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8i_\x8n_\x8f_\x8o | ||
| 45 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8k_\x8e_\x8y_\x8s | ||
| 46 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8g_\x8r_\x8o_\x8u_\x8p_\x8s | ||
| 47 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8w_\x8a_\x8l_\x8k | ||
| 48 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8f_\x8e_\x8a_\x8t_\x8h_\x8e_\x8r | ||
| 49 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8f_\x8e_\x8a_\x8t_\x8h_\x8e_\x8r | ||
| 50 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8p_\x8a_\x8r_\x8q_\x8u_\x8e_\x8t | ||
| 51 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8p_\x8a_\x8r_\x8q_\x8u_\x8e_\x8t | ||
| 52 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8o_\x8r_\x8c | ||
| 53 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8o_\x8r_\x8c | ||
| 54 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8a_\x8s | ||
| 55 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8p_\x8s_\x8s | ||
| 56 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8q_\x8l_\x8__\x8t_\x8a_\x8b_\x8l_\x8e | ||
| 57 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8q_\x8l_\x8__\x8q_\x8u_\x8e_\x8r_\x8y | ||
| 58 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8q_\x8l | ||
| 59 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8s_\x8q_\x8l | ||
| 60 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8g_\x8b_\x8q | ||
| 61 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8t_\x8a_\x8t_\x8a | ||
| 62 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8s_\x8t_\x8a_\x8t_\x8a | ||
| 63 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8R_\x8e_\x8a_\x8d_\x8e_\x8r_\x8._\x8d_\x8a_\x8t_\x8a_\x8__\x8l_\x8a_\x8b_\x8e_\x8l | ||
| 64 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8R_\x8e_\x8a_\x8d_\x8e_\x8r_\x8._\x8v_\x8a_\x8l_\x8u_\x8e_\x8__\x8l_\x8a_\x8b_\x8e_\x8l_\x8s | ||
| 65 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8R_\x8e_\x8a_\x8d_\x8e_\x8r_\x8._\x8v_\x8a_\x8r_\x8i_\x8a_\x8b_\x8l_\x8e_\x8__\x8l_\x8a_\x8b_\x8e_\x8l_\x8s | ||
| 66 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8W_\x8r_\x8i_\x8t_\x8e_\x8r_\x8._\x8w_\x8r_\x8i_\x8t_\x8e_\x8__\x8f_\x8i_\x8l_\x8e | ||
| 12 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8l_\x8·_\x8f_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n_\x8s | 67 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8l_\x8·_\x8f_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n_\x8s |
| 13 | ····*·_\x8S_\x8e_\x8r_\x8i_\x8e_\x8s | 68 | ····*·_\x8S_\x8e_\x8r_\x8i_\x8e_\x8s |
| 14 | ····*·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e | 69 | ····*·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e |
| 15 | ····*·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8·_\x8a_\x8r_\x8r_\x8a_\x8y_\x8s_\x8,_\x8·_\x8s_\x8c_\x8a_\x8l_\x8a_\x8r_\x8s_\x8,_\x8·_\x8a_\x8n_\x8d_\x8·_\x8d_\x8a_\x8t_\x8a_\x8·_\x8t_\x8y_\x8p_\x8e_\x8s | 70 | ····*·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8·_\x8a_\x8r_\x8r_\x8a_\x8y_\x8s_\x8,_\x8·_\x8s_\x8c_\x8a_\x8l_\x8a_\x8r_\x8s_\x8,_\x8·_\x8a_\x8n_\x8d_\x8·_\x8d_\x8a_\x8t_\x8a_\x8·_\x8t_\x8y_\x8p_\x8e_\x8s |
| 16 | ····*·_\x8I_\x8n_\x8d_\x8e_\x8x_\x8·_\x8o_\x8b_\x8j_\x8e_\x8c_\x8t_\x8s | 71 | ····*·_\x8I_\x8n_\x8d_\x8e_\x8x_\x8·_\x8o_\x8b_\x8j_\x8e_\x8c_\x8t_\x8s |
| 17 | ····*·_\x8D_\x8a_\x8t_\x8e_\x8·_\x8o_\x8f_\x8f_\x8s_\x8e_\x8t_\x8s | 72 | ····*·_\x8D_\x8a_\x8t_\x8e_\x8·_\x8o_\x8f_\x8f_\x8s_\x8e_\x8t_\x8s |
| 18 | ····*·_\x8W_\x8i_\x8n_\x8d_\x8o_\x8w | 73 | ····*·_\x8W_\x8i_\x8n_\x8d_\x8o_\x8w |
| 19 | ····*·_\x8G_\x8r_\x8o_\x8u_\x8p_\x8B_\x8y | 74 | ····*·_\x8G_\x8r_\x8o_\x8u_\x8p_\x8B_\x8y |
| 20 | ····*·_\x8R_\x8e_\x8s_\x8a_\x8m_\x8p_\x8l_\x8i_\x8n_\x8g | 75 | ····*·_\x8R_\x8e_\x8s_\x8a_\x8m_\x8p_\x8l_\x8i_\x8n_\x8g |
| 21 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e | 76 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e |
| 22 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r | ||
| 23 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8f_\x8r_\x8o_\x8m_\x8__\x8c_\x8u_\x8s_\x8t_\x8o_\x8m_\x8__\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e | ||
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| 44 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8i_\x8n_\x8f_\x8o | ||
| 45 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8k_\x8e_\x8y_\x8s | ||
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| 47 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8H_\x8D_\x8F_\x8S_\x8t_\x8o_\x8r_\x8e_\x8._\x8w_\x8a_\x8l_\x8k | ||
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| 54 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8a_\x8s | ||
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| 56 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8q_\x8l_\x8__\x8t_\x8a_\x8b_\x8l_\x8e | ||
| 57 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8q_\x8l_\x8__\x8q_\x8u_\x8e_\x8r_\x8y | ||
| 58 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8q_\x8l | ||
| 59 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8s_\x8q_\x8l | ||
| 60 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8g_\x8b_\x8q | ||
| 61 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8s_\x8t_\x8a_\x8t_\x8a | ||
| 62 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8t_\x8o_\x8__\x8s_\x8t_\x8a_\x8t_\x8a | ||
| 63 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8R_\x8e_\x8a_\x8d_\x8e_\x8r_\x8._\x8d_\x8a_\x8t_\x8a_\x8__\x8l_\x8a_\x8b_\x8e_\x8l | ||
| 64 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8R_\x8e_\x8a_\x8d_\x8e_\x8r_\x8._\x8v_\x8a_\x8l_\x8u_\x8e_\x8__\x8l_\x8a_\x8b_\x8e_\x8l_\x8s | ||
| 65 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8R_\x8e_\x8a_\x8d_\x8e_\x8r_\x8._\x8v_\x8a_\x8r_\x8i_\x8a_\x8b_\x8l_\x8e_\x8__\x8l_\x8a_\x8b_\x8e_\x8l_\x8s | ||
| 66 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8s_\x8t_\x8a_\x8t_\x8a_\x8._\x8S_\x8t_\x8a_\x8t_\x8a_\x8W_\x8r_\x8i_\x8t_\x8e_\x8r_\x8._\x8w_\x8r_\x8i_\x8t_\x8e_\x8__\x8f_\x8i_\x8l_\x8e | ||
| 12 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8l_\x8·_\x8f_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n_\x8s | 67 | ····*·_\x8G_\x8e_\x8n_\x8e_\x8r_\x8a_\x8l_\x8·_\x8f_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n_\x8s |
| 13 | ····*·_\x8S_\x8e_\x8r_\x8i_\x8e_\x8s | 68 | ····*·_\x8S_\x8e_\x8r_\x8i_\x8e_\x8s |
| 14 | ····*·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e | 69 | ····*·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e |
| 15 | ····*·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8·_\x8a_\x8r_\x8r_\x8a_\x8y_\x8s_\x8,_\x8·_\x8s_\x8c_\x8a_\x8l_\x8a_\x8r_\x8s_\x8,_\x8·_\x8a_\x8n_\x8d_\x8·_\x8d_\x8a_\x8t_\x8a_\x8·_\x8t_\x8y_\x8p_\x8e_\x8s | 70 | ····*·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8·_\x8a_\x8r_\x8r_\x8a_\x8y_\x8s_\x8,_\x8·_\x8s_\x8c_\x8a_\x8l_\x8a_\x8r_\x8s_\x8,_\x8·_\x8a_\x8n_\x8d_\x8·_\x8d_\x8a_\x8t_\x8a_\x8·_\x8t_\x8y_\x8p_\x8e_\x8s |
| 16 | ····*·_\x8I_\x8n_\x8d_\x8e_\x8x_\x8·_\x8o_\x8b_\x8j_\x8e_\x8c_\x8t_\x8s | 71 | ····*·_\x8I_\x8n_\x8d_\x8e_\x8x_\x8·_\x8o_\x8b_\x8j_\x8e_\x8c_\x8t_\x8s |
| 17 | ····*·_\x8D_\x8a_\x8t_\x8e_\x8·_\x8o_\x8f_\x8f_\x8s_\x8e_\x8t_\x8s | 72 | ····*·_\x8D_\x8a_\x8t_\x8e_\x8·_\x8o_\x8f_\x8f_\x8s_\x8e_\x8t_\x8s |
| 18 | ····*·_\x8W_\x8i_\x8n_\x8d_\x8o_\x8w | 73 | ····*·_\x8W_\x8i_\x8n_\x8d_\x8o_\x8w |
| 19 | ····*·_\x8G_\x8r_\x8o_\x8u_\x8p_\x8B_\x8y | 74 | ····*·_\x8G_\x8r_\x8o_\x8u_\x8p_\x8B_\x8y |
| 20 | ····*·_\x8R_\x8e_\x8s_\x8a_\x8m_\x8p_\x8l_\x8i_\x8n_\x8g | 75 | ····*·_\x8R_\x8e_\x8s_\x8a_\x8m_\x8p_\x8l_\x8i_\x8n_\x8g |
| 21 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e | 76 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e |
| 22 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r | ||
| 23 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8f_\x8r_\x8o_\x8m_\x8__\x8c_\x8u_\x8s_\x8t_\x8o_\x8m_\x8__\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e | ||
| 24 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8e_\x8n_\x8v | ||
| 25 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e_\x8__\x8h_\x8t_\x8m_\x8l | ||
| 26 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e_\x8__\x8h_\x8t_\x8m_\x8l_\x8__\x8s_\x8t_\x8y_\x8l_\x8e | ||
| 27 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e_\x8__\x8h_\x8t_\x8m_\x8l_\x8__\x8t_\x8a_\x8b_\x8l_\x8e | ||
| 28 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e_\x8__\x8l_\x8a_\x8t_\x8e_\x8x | ||
| 29 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8e_\x8m_\x8p_\x8l_\x8a_\x8t_\x8e_\x8__\x8s_\x8t_\x8r_\x8i_\x8n_\x8g | ||
| 30 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8l_\x8o_\x8a_\x8d_\x8e_\x8r | ||
| 31 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8a_\x8p_\x8p_\x8l_\x8y | ||
| 32 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8m_\x8a_\x8p | ||
| 33 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8a_\x8p_\x8p_\x8l_\x8y_\x8__\x8i_\x8n_\x8d_\x8e_\x8x | ||
| 34 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8m_\x8a_\x8p_\x8__\x8i_\x8n_\x8d_\x8e_\x8x | ||
| 35 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t | ||
| 36 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8__\x8i_\x8n_\x8d_\x8e_\x8x | ||
| 37 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8r_\x8e_\x8l_\x8a_\x8b_\x8e_\x8l_\x8__\x8i_\x8n_\x8d_\x8e_\x8x | ||
| 38 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8h_\x8i_\x8d_\x8e | ||
| 39 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8c_\x8o_\x8n_\x8c_\x8a_\x8t | ||
| 40 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8t_\x8d_\x8__\x8c_\x8l_\x8a_\x8s_\x8s_\x8e_\x8s | ||
| 41 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8t_\x8a_\x8b_\x8l_\x8e_\x8__\x8s_\x8t_\x8y_\x8l_\x8e_\x8s | ||
| 42 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8t_\x8a_\x8b_\x8l_\x8e_\x8__\x8a_\x8t_\x8t_\x8r_\x8i_\x8b_\x8u_\x8t_\x8e_\x8s | ||
| 43 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8t_\x8o_\x8o_\x8l_\x8t_\x8i_\x8p_\x8s | ||
| 44 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8c_\x8a_\x8p_\x8t_\x8i_\x8o_\x8n | ||
| 45 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8s_\x8t_\x8i_\x8c_\x8k_\x8y | ||
| 46 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8p_\x8r_\x8o_\x8p_\x8e_\x8r_\x8t_\x8i_\x8e_\x8s | ||
| 47 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8s_\x8e_\x8t_\x8__\x8u_\x8u_\x8i_\x8d | ||
| 48 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8c_\x8l_\x8e_\x8a_\x8r | ||
| 49 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8p_\x8i_\x8p_\x8e | ||
| 50 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8h_\x8i_\x8g_\x8h_\x8l_\x8i_\x8g_\x8h_\x8t_\x8__\x8n_\x8u_\x8l_\x8l | ||
| 51 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8h_\x8i_\x8g_\x8h_\x8l_\x8i_\x8g_\x8h_\x8t_\x8__\x8m_\x8a_\x8x | ||
| 52 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8h_\x8i_\x8g_\x8h_\x8l_\x8i_\x8g_\x8h_\x8t_\x8__\x8m_\x8i_\x8n | ||
| 53 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8h_\x8i_\x8g_\x8h_\x8l_\x8i_\x8g_\x8h_\x8t_\x8__\x8b_\x8e_\x8t_\x8w_\x8e_\x8e_\x8n | ||
| 54 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8h_\x8i_\x8g_\x8h_\x8l_\x8i_\x8g_\x8h_\x8t_\x8__\x8q_\x8u_\x8a_\x8n_\x8t_\x8i_\x8l_\x8e | ||
| 55 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8b_\x8a_\x8c_\x8k_\x8g_\x8r_\x8o_\x8u_\x8n_\x8d_\x8__\x8g_\x8r_\x8a_\x8d_\x8i_\x8e_\x8n_\x8t | ||
| 56 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8e_\x8x_\x8t_\x8__\x8g_\x8r_\x8a_\x8d_\x8i_\x8e_\x8n_\x8t | ||
| 57 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8b_\x8a_\x8r | ||
| 58 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8h_\x8t_\x8m_\x8l | ||
| 59 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8l_\x8a_\x8t_\x8e_\x8x | ||
| 60 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8e_\x8x_\x8c_\x8e_\x8l | ||
| 61 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8s_\x8t_\x8r_\x8i_\x8n_\x8g | ||
| 62 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8e_\x8x_\x8p_\x8o_\x8r_\x8t | ||
| 63 | ··········o·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8i_\x8o_\x8._\x8f_\x8o_\x8r_\x8m_\x8a_\x8t_\x8s_\x8._\x8s_\x8t_\x8y_\x8l_\x8e_\x8._\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8u_\x8s_\x8e | ||
| 64 | ····*·_\x8P_\x8l_\x8o_\x8t_\x8t_\x8i_\x8n_\x8g | 77 | ····*·_\x8P_\x8l_\x8o_\x8t_\x8t_\x8i_\x8n_\x8g |
| 65 | ····*·_\x8O_\x8p_\x8t_\x8i_\x8o_\x8n_\x8s_\x8·_\x8a_\x8n_\x8d_\x8·_\x8s_\x8e_\x8t_\x8t_\x8i_\x8n_\x8g_\x8s | 78 | ····*·_\x8O_\x8p_\x8t_\x8i_\x8o_\x8n_\x8s_\x8·_\x8a_\x8n_\x8d_\x8·_\x8s_\x8e_\x8t_\x8t_\x8i_\x8n_\x8g_\x8s |
| 66 | ····*·_\x8E_\x8x_\x8t_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8s | 79 | ····*·_\x8E_\x8x_\x8t_\x8e_\x8n_\x8s_\x8i_\x8o_\x8n_\x8s |
| 67 | ····*·_\x8T_\x8e_\x8s_\x8t_\x8i_\x8n_\x8g | 80 | ····*·_\x8T_\x8e_\x8s_\x8t_\x8i_\x8n_\x8g |
| 68 | On·this·page | 81 | On·this·page |
| 69 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8h_\x8t_\x8m_\x8l_\x8(_\x8) | 82 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8h_\x8t_\x8m_\x8l_\x8(_\x8) |
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| 180 | ··<a·class="reference·internal"·href="../arrays.html"> | ||
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| 68 | On·this·page | 81 | On·this·page |
| 69 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8l_\x8a_\x8t_\x8e_\x8x_\x8(_\x8) | 82 | ····*·_\x8S_\x8t_\x8y_\x8l_\x8e_\x8r_\x8._\x8t_\x8o_\x8__\x8l_\x8a_\x8t_\x8e_\x8x_\x8(_\x8) |
| 70 | *\x8**\x8**\x8**\x8**\x8**\x8*·p\x8pa\x8an\x8nd\x8da\x8as\x8s.\x8.i\x8io\x8o.\x8.f\x8fo\x8or\x8rm\x8ma\x8at\x8ts\x8s.\x8.s\x8st\x8ty\x8yl\x8le\x8e.\x8.S\x8St\x8ty\x8yl\x8le\x8er\x8r.\x8.t\x8to\x8o_\x8_l\x8la\x8at\x8te\x8ex\x8x_\x8?\x8¶·*\x8**\x8**\x8**\x8**\x8**\x8* | 83 | *\x8**\x8**\x8**\x8**\x8**\x8*·p\x8pa\x8an\x8nd\x8da\x8as\x8s.\x8.i\x8io\x8o.\x8.f\x8fo\x8or\x8rm\x8ma\x8at\x8ts\x8s.\x8.s\x8st\x8ty\x8yl\x8le\x8e.\x8.S\x8St\x8ty\x8yl\x8le\x8er\x8r.\x8.t\x8to\x8o_\x8_l\x8la\x8at\x8te\x8ex\x8x_\x8?\x8¶·*\x8**\x8**\x8**\x8**\x8**\x8* |
| Offset 686, 15 lines modified | Offset 686, 15 lines modified | ||
| 686 | ········"discourag":·[2,·1840], | 686 | ········"discourag":·[2,·1840], |
| 687 | ········"applic":·[2,·6,·9,·10,·26,·34,·102,·122,·166,·190,·211,·212,·261,·283,·289,·291,·293,·301,·323,·336,·669,·674,·687,·708,·721,·731,·774,·796,·816,·817,·922,·940,·948,·977,·980,·985,·994,·1007,·1036,·1053,·1190,·1207,·1237,·1252,·1298,·1313,·1444,·1457,·1464,·1466,·1474,·1530,·2340,·2351,·2352,·2357,·2360,·2363,·2366,·2368,·2371,·2374,·2377,·2379,·2395,·2397,·2399,·2402,·2413,·2416,·2428,·2444,·2450], | 687 | ········"applic":·[2,·6,·9,·10,·26,·34,·102,·122,·166,·190,·211,·212,·261,·283,·289,·291,·293,·301,·323,·336,·669,·674,·687,·708,·721,·731,·774,·796,·816,·817,·922,·940,·948,·977,·980,·985,·994,·1007,·1036,·1053,·1190,·1207,·1237,·1252,·1298,·1313,·1444,·1457,·1464,·1466,·1474,·1530,·2340,·2351,·2352,·2357,·2360,·2363,·2366,·2368,·2371,·2374,·2377,·2379,·2395,·2397,·2399,·2402,·2413,·2416,·2428,·2444,·2450], |
| 688 | ········"refactor":·[2,·264,·924,·2360,·2380,·2387,·2388,·2397,·2402,·2408,·2420,·2421,·2424,·2432,·2445], | 688 | ········"refactor":·[2,·264,·924,·2360,·2380,·2387,·2388,·2397,·2402,·2408,·2420,·2421,·2424,·2432,·2445], |
| 689 | ········"appeas":·2, | 689 | ········"appeas":·2, |
| 690 | ········"static":·[2,·2360,·2387], | 690 | ········"static":·[2,·2360,·2387], |
| 691 | ········"analysi":·[2,·15,·22,·31,·34,·36,·102,·107,·207,·663,·1207,·1213,·1270,·2352,·2353,·2358,·2364,·2366,·2372,·2377,·2379], | 691 | ········"analysi":·[2,·15,·22,·31,·34,·36,·102,·107,·207,·663,·1207,·1213,·1270,·2352,·2353,·2358,·2364,·2366,·2372,·2377,·2379], |
| 692 | ········"cannot_infer_good":·2, | 692 | ········"cannot_infer_good":·2, |
| 693 | ········"isinst":·[2,·414,·417,·1143,·1454,·1455,·2351,·2352,·2353,·2358,·236 | 693 | ········"isinst":·[2,·414,·417,·1143,·1454,·1455,·2351,·2352,·2353,·2358,·2361,·2364,·2366,·2368,·2370,·2372,·2375,·2383,·2385,·2399,·2428,·2450,·2456,·2461,·2465,·2469], |
| 694 | ········"With":·[2,·3,·5,·16,·17,·18,·19,·21,·26,·29,·69,·89,·98,·109,·110,·131,·143,·146,·155,·158,·159,·168,·169,·174,·176,·177,·203,·208,·210,·219,·220,·221,·223,·224,·225,·226,·229,·236,·248,·249,·258,·266,·277,·280,·286,·335,·336,·394,·468,·634,·636,·655,·670,·697,·720,·721,·734,·752,·755,·766,·767,·776,·777,·781,·835,·841,·920,·944,·1089,·1202,·1261,·1323,·1437,·1482,·1539,·2334,·2351,·2353,·2357,·2362,·2364,·2366,·2368,·2371,·2372,·2374,·2375,·2377,·2384,·2387,·2388,·2405,·2407,·2410,·2421,·2428,·2438,·2456,·2461,·2465], | 694 | ········"With":·[2,·3,·5,·16,·17,·18,·19,·21,·26,·29,·69,·89,·98,·109,·110,·131,·143,·146,·155,·158,·159,·168,·169,·174,·176,·177,·203,·208,·210,·219,·220,·221,·223,·224,·225,·226,·229,·236,·248,·249,·258,·266,·277,·280,·286,·335,·336,·394,·468,·634,·636,·655,·670,·697,·720,·721,·734,·752,·755,·766,·767,·776,·777,·781,·835,·841,·920,·944,·1089,·1202,·1261,·1323,·1437,·1482,·1539,·2334,·2351,·2353,·2357,·2362,·2364,·2366,·2368,·2371,·2372,·2374,·2375,·2377,·2384,·2387,·2388,·2405,·2407,·2410,·2421,·2428,·2438,·2456,·2461,·2465], |
| 695 | ········"effort":·[2,·34,·2352,·2360], | 695 | ········"effort":·[2,·34,·2352,·2360], |
| 696 | ········"exhaust":·[2,·22,·2358,·2465], | 696 | ········"exhaust":·[2,·22,·2358,·2465], |
| 697 | ········"down":·[2,·4,·5,·6,·13,·148,·217,·244,·756,·823,·851,·1550,·1840,·2362,·2366,·2379,·2381,·2397,·2405,·2408,·2420,·2430], | 697 | ········"down":·[2,·4,·5,·6,·13,·148,·217,·244,·756,·823,·851,·1550,·1840,·2362,·2366,·2379,·2381,·2397,·2405,·2408,·2420,·2430], |
| 698 | ········"commonli":·[2,·1512,·2358,·2372,·2377,·2379,·2402], | 698 | ········"commonli":·[2,·1512,·2358,·2372,·2377,·2379,·2402], |
| 699 | ········"_type":·2, | 699 | ········"_type":·2, |
| 700 | ········"ultim":·[2,·16,·19,·2366], | 700 | ········"ultim":·[2,·16,·19,·2366], |
| Offset 1849, 25 lines modified | Offset 1849, 25 lines modified | ||
| 1849 | <span·class="gp">In·[141]:·</span><span·class="n">indexer</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">arange</span><span·class="p">(</span><span·class="mi">10000</span><span·class="p">)</span> | 1849 | <span·class="gp">In·[141]:·</span><span·class="n">indexer</span>·<span·class="o">=</span>·<span·class="n">np</span><span·class="o">.</span><span·class="n">arange</span><span·class="p">(</span><span·class="mi">10000</span><span·class="p">)</span> |
| 1850 | <span·class="gp">In·[142]:·</span><span·class="n">random</span><span·class="o">.</span><span·class="n">shuffle</span><span·class="p">(</span><span·class="n">indexer</span><span·class="p">)</span> | 1850 | <span·class="gp">In·[142]:·</span><span·class="n">random</span><span·class="o">.</span><span·class="n">shuffle</span><span·class="p">(</span><span·class="n">indexer</span><span·class="p">)</span> |
| 1851 | <span·class="gp">In·[143]:·</span><span·class="o">%</span><span·class="k">timeit</span>·arr[indexer] | 1851 | <span·class="gp">In·[143]:·</span><span·class="o">%</span><span·class="k">timeit</span>·arr[indexer] |
| 1852 | <span·class="gp">···.....:·</span><span·class="o">%</span><span·class="k">timeit</span>·arr.take(indexer,·axis=0) | 1852 | <span·class="gp">···.....:·</span><span·class="o">%</span><span·class="k">timeit</span>·arr.take(indexer,·axis=0) |
| 1853 | <span·class="gp">···.....:·</span> | 1853 | <span·class="gp">···.....:·</span> |
| 1854 | <span·class="go"> | 1854 | <span·class="go">200·us·+-·396·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·1,000·loops·each)</span> |
| 1855 | <span·class="go"> | 1855 | <span·class="go">72·us·+-·98.9·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·10,000·loops·each)</span> |
| 1856 | </pre></div> | 1856 | </pre></div> |
| 1857 | </div> | 1857 | </div> |
| 1858 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[144]:·</span><span·class="n">ser</span>·<span·class="o">=</span>·<span·class="n">pd</span><span·class="o">.</span><span·class="n">Series</span><span·class="p">(</span><span·class="n">arr</span><span·class="p">[:,</span>·<span·class="mi">0</span><span·class="p">])</span> | 1858 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[144]:·</span><span·class="n">ser</span>·<span·class="o">=</span>·<span·class="n">pd</span><span·class="o">.</span><span·class="n">Series</span><span·class="p">(</span><span·class="n">arr</span><span·class="p">[:,</span>·<span·class="mi">0</span><span·class="p">])</span> |
| 1859 | <span·class="gp">In·[145]:·</span><span·class="o">%</span><span·class="k">timeit</span>·ser.iloc[indexer] | 1859 | <span·class="gp">In·[145]:·</span><span·class="o">%</span><span·class="k">timeit</span>·ser.iloc[indexer] |
| 1860 | <span·class="gp">···.....:·</span><span·class="o">%</span><span·class="k">timeit</span>·ser.take(indexer) | 1860 | <span·class="gp">···.....:·</span><span·class="o">%</span><span·class="k">timeit</span>·ser.take(indexer) |
| 1861 | <span·class="gp">···.....:·</span> | 1861 | <span·class="gp">···.....:·</span> |
| 1862 | <span·class="go"> | 1862 | <span·class="go">136·us·+-·492·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·10,000·loops·each)</span> |
| 1863 | <span·class="go"> | 1863 | <span·class="go">119·us·+-·293·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·10,000·loops·each)</span> |
| 1864 | </pre></div> | 1864 | </pre></div> |
| 1865 | </div> | 1865 | </div> |
| 1866 | </section> | 1866 | </section> |
| 1867 | <section·id="index-types"> | 1867 | <section·id="index-types"> |
| 1868 | <span·id="advanced-index-types"></span><h2>Index·types<a·class="headerlink"·href="#index-types"·title="Link·to·this·heading">¶</a></h2> | 1868 | <span·id="advanced-index-types"></span><h2>Index·types<a·class="headerlink"·href="#index-types"·title="Link·to·this·heading">¶</a></h2> |
| 1869 | <p>We·have·discussed·<code·class="docutils·literal·notranslate"><span·class="pre">MultiIndex</span></code>·in·the·previous·sections·pretty·extensively. | 1869 | <p>We·have·discussed·<code·class="docutils·literal·notranslate"><span·class="pre">MultiIndex</span></code>·in·the·previous·sections·pretty·extensively. |
| 1870 | Documentation·about·<code·class="docutils·literal·notranslate"><span·class="pre">DatetimeIndex</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">PeriodIndex</span></code>·are·shown·<a·class="reference·internal"·href="timeseries.html#timeseries-overview"><span·class="std·std-ref">here</span></a>, | 1870 | Documentation·about·<code·class="docutils·literal·notranslate"><span·class="pre">DatetimeIndex</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">PeriodIndex</span></code>·are·shown·<a·class="reference·internal"·href="timeseries.html#timeseries-overview"><span·class="std·std-ref">here</span></a>, |
| Offset 1256, 23 lines modified | Offset 1256, 23 lines modified | ||
| 1256 | In·[141]:·indexer·=·np.arange(10000) | 1256 | In·[141]:·indexer·=·np.arange(10000) |
| 1257 | In·[142]:·random.shuffle(indexer) | 1257 | In·[142]:·random.shuffle(indexer) |
| 1258 | In·[143]:·%timeit·arr[indexer] | 1258 | In·[143]:·%timeit·arr[indexer] |
| 1259 | ···.....:·%timeit·arr.take(indexer,·axis=0) | 1259 | ···.....:·%timeit·arr.take(indexer,·axis=0) |
| 1260 | ···.....: | 1260 | ···.....: |
| 1261 | 1261 | 200·us·+-·396·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·1,000·loops·each) | |
| 1262 | 1262 | 72·us·+-·98.9·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·10,000·loops·each) | |
| 1263 | In·[144]:·ser·=·pd.Series(arr[:,·0]) | 1263 | In·[144]:·ser·=·pd.Series(arr[:,·0]) |
| 1264 | In·[145]:·%timeit·ser.iloc[indexer] | 1264 | In·[145]:·%timeit·ser.iloc[indexer] |
| 1265 | ···.....:·%timeit·ser.take(indexer) | 1265 | ···.....:·%timeit·ser.take(indexer) |
| 1266 | ···.....: | 1266 | ···.....: |
| 1267 | 1267 | 136·us·+-·492·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·10,000·loops·each) | |
| 1268 | 1268 | 119·us·+-·293·ns·per·loop·(mean·+-·std.·dev.·of·7·runs,·10,000·loops·each) | |
| 1269 | *\x8**\x8**\x8**\x8**\x8*·I\x8In\x8nd\x8de\x8ex\x8x·t\x8ty\x8yp\x8pe\x8es\x8s_\x8?\x8¶·*\x8**\x8**\x8**\x8**\x8* | 1269 | *\x8**\x8**\x8**\x8**\x8*·I\x8In\x8nd\x8de\x8ex\x8x·t\x8ty\x8yp\x8pe\x8es\x8s_\x8?\x8¶·*\x8**\x8**\x8**\x8**\x8* |
| 1270 | We·have·discussed·MultiIndex·in·the·previous·sections·pretty·extensively. | 1270 | We·have·discussed·MultiIndex·in·the·previous·sections·pretty·extensively. |
| 1271 | Documentation·about·DatetimeIndex·and·PeriodIndex·are·shown·_\x8h_\x8e_\x8r_\x8e,·and | 1271 | Documentation·about·DatetimeIndex·and·PeriodIndex·are·shown·_\x8h_\x8e_\x8r_\x8e,·and |
| 1272 | documentation·about·TimedeltaIndex·is·found·_\x8h_\x8e_\x8r_\x8e. | 1272 | documentation·about·TimedeltaIndex·is·found·_\x8h_\x8e_\x8r_\x8e. |
| 1273 | In·the·following·sub-sections·we·will·highlight·some·other·index·types. | 1273 | In·the·following·sub-sections·we·will·highlight·some·other·index·types. |
| 1274 | *\x8**\x8**\x8**\x8*·C\x8Ca\x8at\x8te\x8eg\x8go\x8or\x8ri\x8ic\x8ca\x8al\x8lI\x8In\x8nd\x8de\x8ex\x8x_\x8?\x8¶·*\x8**\x8**\x8**\x8* | 1274 | *\x8**\x8**\x8**\x8*·C\x8Ca\x8at\x8te\x8eg\x8go\x8or\x8ri\x8ic\x8ca\x8al\x8lI\x8In\x8nd\x8de\x8ex\x8x_\x8?\x8¶·*\x8**\x8**\x8**\x8* |
| 1275 | _\x8C_\x8a_\x8t_\x8e_\x8g_\x8o_\x8r_\x8i_\x8c_\x8a_\x8l_\x8I_\x8n_\x8d_\x8e_\x8x·is·a·type·of·index·that·is·useful·for·supporting·indexing·with | 1275 | _\x8C_\x8a_\x8t_\x8e_\x8g_\x8o_\x8r_\x8i_\x8c_\x8a_\x8l_\x8I_\x8n_\x8d_\x8e_\x8x·is·a·type·of·index·that·is·useful·for·supporting·indexing·with |
| Offset 529, 31 lines modified | Offset 529, 31 lines modified | ||
| 529 | <span·class="gp">···...:·</span>········<span·class="n">s</span>·<span·class="o">+=</span>·<span·class="n">f</span><span·class="p">(</span><span·class="n">a</span>·<span·class="o">+</span>·<span·class="n">i</span>·<span·class="o">*</span>·<span·class="n">dx</span><span·class="p">)</span> | 529 | <span·class="gp">···...:·</span>········<span·class="n">s</span>·<span·class="o">+=</span>·<span·class="n">f</span><span·class="p">(</span><span·class="n">a</span>·<span·class="o">+</span>·<span·class="n">i</span>·<span·class="o">*</span>·<span·class="n">dx</span><span·class="p">)</span> |
| 530 | <span·class="gp">···...:·</span>····<span·class="k">return</span>·<span·class="n">s</span>·<span·class="o">*</span>·<span·class="n">dx</span> | 530 | <span·class="gp">···...:·</span>····<span·class="k">return</span>·<span·class="n">s</span>·<span·class="o">*</span>·<span·class="n">dx</span> |
| 531 | <span·class="gp">···...:·</span> | 531 | <span·class="gp">···...:·</span> |
| 532 | </pre></div> | 532 | </pre></div> |
| 533 | </div> | 533 | </div> |
| 534 | <p>We·achieve·our·result·by·using·<a·class="reference·internal"·href="../reference/api/pandas.DataFrame.apply.html#pandas.DataFrame.apply"·title="pandas.DataFrame.apply"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">DataFrame.apply()</span></code></a>·(row-wise):</p> | 534 | <p>We·achieve·our·result·by·using·<a·class="reference·internal"·href="../reference/api/pandas.DataFrame.apply.html#pandas.DataFrame.apply"·title="pandas.DataFrame.apply"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">DataFrame.apply()</span></code></a>·(row-wise):</p> |
| 535 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="o">%</span><span·class="k">timeit</span>·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]),·axis=1) | 535 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[5]:·</span><span·class="o">%</span><span·class="k">timeit</span>·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]),·axis=1) |
| 536 | <span·class="go"> | 536 | <span·class="go">96.9·ms·+-·74.6·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·10·loops·each)</span> |
| 537 | </pre></div> | 537 | </pre></div> |
| 538 | </div> | 538 | </div> |
| 539 | <p>Let’s·take·a·look·and·see·where·the·time·is·spent·during·this·operation | 539 | <p>Let’s·take·a·look·and·see·where·the·time·is·spent·during·this·operation |
| 540 | using·the·<a·class="reference·external"·href="https://ipython.readthedocs.io/en/stable/interactive/magics.html#magic-prun">prun·ipython·magic·function</a>:</p> | 540 | using·the·<a·class="reference·external"·href="https://ipython.readthedocs.io/en/stable/interactive/magics.html#magic-prun">prun·ipython·magic·function</a>:</p> |
| 541 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="go">#·most·time·consuming·4·calls</span> | 541 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="go">#·most·time·consuming·4·calls</span> |
| 542 | <span·class="gp">In·[6]:·</span><span·class="o">%</span><span·class="k">prun</span>·-l·4·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]),·axis=1)··#·noqa·E999 | 542 | <span·class="gp">In·[6]:·</span><span·class="o">%</span><span·class="k">prun</span>·-l·4·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]),·axis=1)··#·noqa·E999 |
| 543 | <span·class="go">·········605963·function·calls·(605945·primitive·calls)·in·0. | 543 | <span·class="go">·········605963·function·calls·(605945·primitive·calls)·in·0.304·seconds</span> |
| 544 | <span·class="go">···Ordered·by:·internal·time</span> | 544 | <span·class="go">···Ordered·by:·internal·time</span> |
| 545 | <span·class="go">···List·reduced·from·167·to·4·due·to·restriction·<4></span> | 545 | <span·class="go">···List·reduced·from·167·to·4·due·to·restriction·<4></span> |
| 546 | <span·class="go">···ncalls··tottime··percall··cumtime··percall·filename:lineno(function)</span> | 546 | <span·class="go">···ncalls··tottime··percall··cumtime··percall·filename:lineno(function)</span> |
| 547 | <span·class="go">·····1000····0. | 547 | <span·class="go">·····1000····0.197····0.000····0.276····0.000·<ipython-input-4-c2a74e076cf0>:1(integrate_f)</span> |
| 548 | <span·class="go">···552423····0. | 548 | <span·class="go">···552423····0.079····0.000····0.079····0.000·<ipython-input-3-c138bdd570e3>:1(f)</span> |
| 549 | <span·class="go">····16094····0.015····0.000····0.016····0.000·{built-in·method·builtins.isinstance}</span> | ||
| 550 | <span·class="go">····· | 549 | <span·class="go">·····3000····0.005····0.000····0.018····0.000·series.py:1016(__getitem__)</span> |
| 550 | <span·class="go">·····3000····0.003····0.000····0.008····0.000·series.py:1139(_get_value)</span> | ||
| 551 | </pre></div> | 551 | </pre></div> |
| 552 | </div> | 552 | </div> |
| 553 | <p>By·far·the·majority·of·time·is·spend·inside·either·<code·class="docutils·literal·notranslate"><span·class="pre">integrate_f</span></code>·or·<code·class="docutils·literal·notranslate"><span·class="pre">f</span></code>, | 553 | <p>By·far·the·majority·of·time·is·spend·inside·either·<code·class="docutils·literal·notranslate"><span·class="pre">integrate_f</span></code>·or·<code·class="docutils·literal·notranslate"><span·class="pre">f</span></code>, |
| 554 | hence·we’ll·concentrate·our·efforts·cythonizing·these·two·functions.</p> | 554 | hence·we’ll·concentrate·our·efforts·cythonizing·these·two·functions.</p> |
| 555 | </section> | 555 | </section> |
| 556 | <section·id="plain-cython"> | 556 | <section·id="plain-cython"> |
| 557 | <span·id="enhancingperf-plain"></span><h3>Plain·Cython<a·class="headerlink"·href="#plain-cython"·title="Link·to·this·heading">¶</a></h3> | 557 | <span·id="enhancingperf-plain"></span><h3>Plain·Cython<a·class="headerlink"·href="#plain-cython"·title="Link·to·this·heading">¶</a></h3> |
| Offset 113, 33 lines modified | Offset 113, 32 lines modified | ||
| 113 | ···...:·····dx·=·(b·-·a)·/·N | 113 | ···...:·····dx·=·(b·-·a)·/·N |
| 114 | ···...:·····for·i·in·range(N): | 114 | ···...:·····for·i·in·range(N): |
| 115 | ···...:·········s·+=·f(a·+·i·*·dx) | 115 | ···...:·········s·+=·f(a·+·i·*·dx) |
| 116 | ···...:·····return·s·*·dx | 116 | ···...:·····return·s·*·dx |
| 117 | ···...: | 117 | ···...: |
| 118 | We·achieve·our·result·by·using·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8a_\x8p_\x8p_\x8l_\x8y_\x8(_\x8)·(row-wise): | 118 | We·achieve·our·result·by·using·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8a_\x8p_\x8p_\x8l_\x8y_\x8(_\x8)·(row-wise): |
| 119 | In·[5]:·%timeit·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]),·axis=1) | 119 | In·[5]:·%timeit·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]),·axis=1) |
| 120 | 120 | 96.9·ms·+-·74.6·us·per·loop·(mean·+-·std.·dev.·of·7·runs,·10·loops·each) | |
| 121 | Let’s·take·a·look·and·see·where·the·time·is·spent·during·this·operation·using | 121 | Let’s·take·a·look·and·see·where·the·time·is·spent·during·this·operation·using |
| 122 | the·_\x8p_\x8r_\x8u_\x8n_\x8·_\x8i_\x8p_\x8y_\x8t_\x8h_\x8o_\x8n_\x8·_\x8m_\x8a_\x8g_\x8i_\x8c_\x8·_\x8f_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n: | 122 | the·_\x8p_\x8r_\x8u_\x8n_\x8·_\x8i_\x8p_\x8y_\x8t_\x8h_\x8o_\x8n_\x8·_\x8m_\x8a_\x8g_\x8i_\x8c_\x8·_\x8f_\x8u_\x8n_\x8c_\x8t_\x8i_\x8o_\x8n: |
| 123 | #·most·time·consuming·4·calls | 123 | #·most·time·consuming·4·calls |
| 124 | In·[6]:·%prun·-l·4·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]), | 124 | In·[6]:·%prun·-l·4·df.apply(lambda·x:·integrate_f(x["a"],·x["b"],·x["N"]), |
| 125 | axis=1)··#·noqa·E999 | 125 | axis=1)··#·noqa·E999 |
| 126 | ·········605963·function·calls·(605945·primitive·calls)·in·0. | 126 | ·········605963·function·calls·(605945·primitive·calls)·in·0.304·seconds |
| 127 | ···Ordered·by:·internal·time | 127 | ···Ordered·by:·internal·time |
| 128 | ···List·reduced·from·167·to·4·due·to·restriction·<4> | 128 | ···List·reduced·from·167·to·4·due·to·restriction·<4> |
| 129 | ···ncalls··tottime··percall··cumtime··percall·filename:lineno(function) | 129 | ···ncalls··tottime··percall··cumtime··percall·filename:lineno(function) |
| 130 | ·····1000····0. | 130 | ·····1000····0.197····0.000····0.276····0.000·<ipython-input-4-c2a74e076cf0>:1 |
| 131 | (integrate_f) | 131 | (integrate_f) |
| 132 | ···552423····0. | 132 | ···552423····0.079····0.000····0.079····0.000·<ipython-input-3-c138bdd570e3>:1 |
| 133 | (f) | 133 | (f) |
| 134 | ·····3000····0.005····0.000····0.018····0.000·series.py:1016(__getitem__) | ||
| 135 | ·····3000····0.003····0.000····0.008····0.000·series.py:1139(_get_value) | ||
| 134 | ····16094····0.015····0.000····0.016····0.000·{built-in·method | ||
| 135 | builtins.isinstance} | ||
| 136 | ·····1001····0.011····0.000····0.019····0.000·apply.py:1085(series_generator) | ||
| 137 | By·far·the·majority·of·time·is·spend·inside·either·integrate_f·or·f,·hence | 136 | By·far·the·majority·of·time·is·spend·inside·either·integrate_f·or·f,·hence |
| 138 | we’ll·concentrate·our·efforts·cythonizing·these·two·functions. | 137 | we’ll·concentrate·our·efforts·cythonizing·these·two·functions. |
| 139 | *\x8**\x8**\x8**\x8*·P\x8Pl\x8la\x8ai\x8in\x8n·C\x8Cy\x8yt\x8th\x8ho\x8on\x8n_\x8?\x8¶·*\x8**\x8**\x8**\x8* | 138 | *\x8**\x8**\x8**\x8*·P\x8Pl\x8la\x8ai\x8in\x8n·C\x8Cy\x8yt\x8th\x8ho\x8on\x8n_\x8?\x8¶·*\x8**\x8**\x8**\x8* |
| 140 | First·we’re·going·to·need·to·import·the·Cython·magic·function·to·IPython: | 139 | First·we’re·going·to·need·to·import·the·Cython·magic·function·to·IPython: |
| 141 | In·[7]:·%load_ext·Cython | 140 | In·[7]:·%load_ext·Cython |
| 142 | Now,·let’s·simply·copy·our·functions·over·to·Cython: | 141 | Now,·let’s·simply·copy·our·functions·over·to·Cython: |
| 143 | In·[8]:·%%cython | 142 | In·[8]:·%%cython |
| Offset 889, 16 lines modified | Offset 889, 16 lines modified | ||
| 889 | <span·class="gp">···....:·</span><span·class="n">files</span>·<span·class="o">=</span>·<span·class="n">pathlib</span><span·class="o">.</span><span·class="n">Path</span><span·class="p">(</span><span·class="s2">"data/timeseries/"</span><span·class="p">)</span><span·class="o">.</span><span·class="n">glob</span><span·class="p">(</span><span·class="s2">"ts*.parquet"</span><span·class="p">)</span> | 889 | <span·class="gp">···....:·</span><span·class="n">files</span>·<span·class="o">=</span>·<span·class="n">pathlib</span><span·class="o">.</span><span·class="n">Path</span><span·class="p">(</span><span·class="s2">"data/timeseries/"</span><span·class="p">)</span><span·class="o">.</span><span·class="n">glob</span><span·class="p">(</span><span·class="s2">"ts*.parquet"</span><span·class="p">)</span> |
| 890 | <span·class="gp">···....:·</span><span·class="n">counts</span>·<span·class="o">=</span>·<span·class="n">pd</span><span·class="o">.</span><span·class="n">Series</span><span·class="p">(</span><span·class="n">dtype</span><span·class="o">=</span><span·class="nb">int</span><span·class="p">)</span> | 890 | <span·class="gp">···....:·</span><span·class="n">counts</span>·<span·class="o">=</span>·<span·class="n">pd</span><span·class="o">.</span><span·class="n">Series</span><span·class="p">(</span><span·class="n">dtype</span><span·class="o">=</span><span·class="nb">int</span><span·class="p">)</span> |
| 891 | <span·class="gp">···....:·</span><span·class="k">for</span>·<span·class="n">path</span>·<span·class="ow">in</span>·<span·class="n">files</span><span·class="p">:</span> | 891 | <span·class="gp">···....:·</span><span·class="k">for</span>·<span·class="n">path</span>·<span·class="ow">in</span>·<span·class="n">files</span><span·class="p">:</span> |
| 892 | <span·class="gp">···....:·</span>····<span·class="n">df</span>·<span·class="o">=</span>·<span·class="n">pd</span><span·class="o">.</span><span·class="n">read_parquet</span><span·class="p">(</span><span·class="n">path</span><span·class="p">)</span> | 892 | <span·class="gp">···....:·</span>····<span·class="n">df</span>·<span·class="o">=</span>·<span·class="n">pd</span><span·class="o">.</span><span·class="n">read_parquet</span><span·class="p">(</span><span·class="n">path</span><span·class="p">)</span> |
| 893 | <span·class="gp">···....:·</span>····<span·class="n">counts</span>·<span·class="o">=</span>·<span·class="n">counts</span><span·class="o">.</span><span·class="n">add</span><span·class="p">(</span><span·class="n">df</span><span·class="p">[</span><span·class="s2">"name"</span><span·class="p">]</span><span·class="o">.</span><span·class="n">value_counts</span><span·class="p">(),</span>·<span·class="n">fill_value</span><span·class="o">=</span><span·class="mi">0</span><span·class="p">)</span> | 893 | <span·class="gp">···....:·</span>····<span·class="n">counts</span>·<span·class="o">=</span>·<span·class="n">counts</span><span·class="o">.</span><span·class="n">add</span><span·class="p">(</span><span·class="n">df</span><span·class="p">[</span><span·class="s2">"name"</span><span·class="p">]</span><span·class="o">.</span><span·class="n">value_counts</span><span·class="p">(),</span>·<span·class="n">fill_value</span><span·class="o">=</span><span·class="mi">0</span><span·class="p">)</span> |
| 894 | <span·class="gp">···....:·</span><span·class="n">counts</span><span·class="o">.</span><span·class="n">astype</span><span·class="p">(</span><span·class="nb">int</span><span·class="p">)</span> | 894 | <span·class="gp">···....:·</span><span·class="n">counts</span><span·class="o">.</span><span·class="n">astype</span><span·class="p">(</span><span·class="nb">int</span><span·class="p">)</span> |
| 895 | <span·class="gp">···....:·</span> | 895 | <span·class="gp">···....:·</span> |
| 896 | <span·class="go">CPU·times:·user· | 896 | <span·class="go">CPU·times:·user·490·us,·sys:·135·us,·total:·625·us</span> |
| 897 | <span·class="go">Wall·time:· | 897 | <span·class="go">Wall·time:·633·us</span> |
| 898 | <span·class="gh">Out[32]:·</span><span·class="go">Series([],·dtype:·int64)</span> | 898 | <span·class="gh">Out[32]:·</span><span·class="go">Series([],·dtype:·int64)</span> |
| 899 | </pre></div> | 899 | </pre></div> |
| 900 | </div> | 900 | </div> |
| 901 | <p>Some·readers,·like·<a·class="reference·internal"·href="../reference/api/pandas.read_csv.html#pandas.read_csv"·title="pandas.read_csv"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">pandas.read_csv()</span></code></a>,·offer·parameters·to·control·the | 901 | <p>Some·readers,·like·<a·class="reference·internal"·href="../reference/api/pandas.read_csv.html#pandas.read_csv"·title="pandas.read_csv"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">pandas.read_csv()</span></code></a>,·offer·parameters·to·control·the |
| 902 | <code·class="docutils·literal·notranslate"><span·class="pre">chunksize</span></code>·when·reading·a·single·file.</p> | 902 | <code·class="docutils·literal·notranslate"><span·class="pre">chunksize</span></code>·when·reading·a·single·file.</p> |
| 903 | <p>Manually·chunking·is·an·OK·option·for·workflows·that·don’t | 903 | <p>Manually·chunking·is·an·OK·option·for·workflows·that·don’t |
| 904 | require·too·sophisticated·of·operations.·Some·operations,·like·<a·class="reference·internal"·href="../reference/api/pandas.DataFrame.groupby.html#pandas.DataFrame.groupby"·title="pandas.DataFrame.groupby"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">pandas.DataFrame.groupby()</span></code></a>,·are | 904 | require·too·sophisticated·of·operations.·Some·operations,·like·<a·class="reference·internal"·href="../reference/api/pandas.DataFrame.groupby.html#pandas.DataFrame.groupby"·title="pandas.DataFrame.groupby"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">pandas.DataFrame.groupby()</span></code></a>,·are |
| Offset 600, 16 lines modified | Offset 600, 16 lines modified | ||
| 600 | ···....:·files·=·pathlib.Path("data/timeseries/").glob("ts*.parquet") | 600 | ···....:·files·=·pathlib.Path("data/timeseries/").glob("ts*.parquet") |
| 601 | ···....:·counts·=·pd.Series(dtype=int) | 601 | ···....:·counts·=·pd.Series(dtype=int) |
| 602 | ···....:·for·path·in·files: | 602 | ···....:·for·path·in·files: |
| 603 | ···....:·····df·=·pd.read_parquet(path) | 603 | ···....:·····df·=·pd.read_parquet(path) |
| 604 | ···....:·····counts·=·counts.add(df["name"].value_counts(),·fill_value=0) | 604 | ···....:·····counts·=·counts.add(df["name"].value_counts(),·fill_value=0) |
| 605 | ···....:·counts.astype(int) | 605 | ···....:·counts.astype(int) |
| 606 | ···....: | 606 | ···....: |
| 607 | CPU·times:·user· | 607 | CPU·times:·user·490·us,·sys:·135·us,·total:·625·us |
| 608 | Wall·time:· | 608 | Wall·time:·633·us |
| 609 | Out[32]:·Series([],·dtype:·int64) | 609 | Out[32]:·Series([],·dtype:·int64) |
| 610 | Some·readers,·like·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8c_\x8s_\x8v_\x8(_\x8),·offer·parameters·to·control·the·chunksize | 610 | Some·readers,·like·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8r_\x8e_\x8a_\x8d_\x8__\x8c_\x8s_\x8v_\x8(_\x8),·offer·parameters·to·control·the·chunksize |
| 611 | when·reading·a·single·file. | 611 | when·reading·a·single·file. |
| 612 | Manually·chunking·is·an·OK·option·for·workflows·that·don’t·require·too | 612 | Manually·chunking·is·an·OK·option·for·workflows·that·don’t·require·too |
| 613 | sophisticated·of·operations.·Some·operations,·like·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8g_\x8r_\x8o_\x8u_\x8p_\x8b_\x8y_\x8(_\x8), | 613 | sophisticated·of·operations.·Some·operations,·like·_\x8p_\x8a_\x8n_\x8d_\x8a_\x8s_\x8._\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e_\x8._\x8g_\x8r_\x8o_\x8u_\x8p_\x8b_\x8y_\x8(_\x8), |
| 614 | are·much·harder·to·do·chunkwise.·In·these·cases,·you·may·be·better·switching·to | 614 | are·much·harder·to·do·chunkwise.·In·these·cases,·you·may·be·better·switching·to |
| 615 | a·different·library·that·implements·these·out-of-core·algorithms·for·you. | 615 | a·different·library·that·implements·these·out-of-core·algorithms·for·you. |
| Offset 39, 18 lines modified | Offset 39, 18 lines modified | ||
| 39 | ············] | 39 | ············] |
| 40 | ········}, | 40 | ········}, |
| 41 | ········{ | 41 | ········{ |
| 42 | ············"cell_type":·"code", | 42 | ············"cell_type":·"code", |
| 43 | ············"execution_count":·1, | 43 | ············"execution_count":·1, |
| 44 | ············"metadata":·{ | 44 | ············"metadata":·{ |
| 45 | ················"execution":·{ | 45 | ················"execution":·{ |
| 46 | ····················"iopub.execute_input":·"202 | 46 | ····················"iopub.execute_input":·"2024-05-06T05:03:50.282603Z", |
| 47 | ····················"iopub.status.busy":·"202 | 47 | ····················"iopub.status.busy":·"2024-05-06T05:03:50.282016Z", |
| 48 | ····················"iopub.status.idle":·"202 | 48 | ····················"iopub.status.idle":·"2024-05-06T05:03:50.783818Z", |
| 49 | ····················"shell.execute_reply":·"202 | 49 | ····················"shell.execute_reply":·"2024-05-06T05:03:50.782955Z" |
| 50 | ················}, | 50 | ················}, |
| 51 | ················"nbsphinx":·"hidden" | 51 | ················"nbsphinx":·"hidden" |
| 52 | ············}, | 52 | ············}, |
| 53 | ············"outputs":·[], | 53 | ············"outputs":·[], |
| 54 | ············"source":·[ | 54 | ············"source":·[ |
| 55 | ················"import·matplotlib.pyplot\n", | 55 | ················"import·matplotlib.pyplot\n", |
| 56 | ················"#·We·have·this·here·to·trigger·matplotlib's·font·cache·stuff.\n", | 56 | ················"#·We·have·this·here·to·trigger·matplotlib's·font·cache·stuff.\n", |
| Offset 1806, 20 lines modified | Offset 1806, 20 lines modified | ||
| 1806 | <span·class="gp">In·[99]:·</span><span·class="n">df1</span><span·class="p">,</span>·<span·class="n">df2</span><span·class="p">,</span>·<span·class="n">df3</span><span·class="p">,</span>·<span·class="n">df4</span>·<span·class="o">=</span>·<span·class="p">[</span><span·class="n">pd</span><span·class="o">.</span><span·class="n">DataFrame</span><span·class="p">(</span><span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">randn</span><span·class="p">(</span><span·class="n">nrows</span><span·class="p">,</span>·<span·class="n">ncols</span><span·class="p">))</span> | 1806 | <span·class="gp">In·[99]:·</span><span·class="n">df1</span><span·class="p">,</span>·<span·class="n">df2</span><span·class="p">,</span>·<span·class="n">df3</span><span·class="p">,</span>·<span·class="n">df4</span>·<span·class="o">=</span>·<span·class="p">[</span><span·class="n">pd</span><span·class="o">.</span><span·class="n">DataFrame</span><span·class="p">(</span><span·class="n">np</span><span·class="o">.</span><span·class="n">random</span><span·class="o">.</span><span·class="n">randn</span><span·class="p">(</span><span·class="n">nrows</span><span·class="p">,</span>·<span·class="n">ncols</span><span·class="p">))</span> |
| 1807 | <span·class="gp">···....:·</span>······················<span·class="k">for</span>·<span·class="n">_</span>·<span·class="ow">in</span>·<span·class="nb">range</span><span·class="p">(</span><span·class="mi">4</span><span·class="p">)]</span> | 1807 | <span·class="gp">···....:·</span>······················<span·class="k">for</span>·<span·class="n">_</span>·<span·class="ow">in</span>·<span·class="nb">range</span><span·class="p">(</span><span·class="mi">4</span><span·class="p">)]</span> |
| 1808 | <span·class="gp">···....:·</span> | 1808 | <span·class="gp">···....:·</span> |
| 1809 | </pre></div> | 1809 | </pre></div> |
| 1810 | </div> | 1810 | </div> |
| 1811 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="go">#·eval·with·NumExpr·backend</span> | 1811 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="go">#·eval·with·NumExpr·backend</span> |
| 1812 | <span·class="gp">In·[100]:·</span><span·class="o">%</span><span·class="k">timeit</span>·pd.eval('df1·+·df2·+·df3·+·df4') | 1812 | <span·class="gp">In·[100]:·</span><span·class="o">%</span><span·class="k">timeit</span>·pd.eval('df1·+·df2·+·df3·+·df4') |
| 1813 | <span·class="go"> | 1813 | <span·class="go">8.45·ms·+-·1.2·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·100·loops·each)</span> |
| 1814 | </pre></div> | 1814 | </pre></div> |
| 1815 | </div> | 1815 | </div> |
| 1816 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="go">#·pure·Python·evaluation</span> | 1816 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="go">#·pure·Python·evaluation</span> |
| 1817 | <span·class="gp">In·[101]:·</span><span·class="o">%</span><span·class="k">timeit</span>·df1·+·df2·+·df3·+·df4 | 1817 | <span·class="gp">In·[101]:·</span><span·class="o">%</span><span·class="k">timeit</span>·df1·+·df2·+·df3·+·df4 |
| 1818 | <span·class="go"> | 1818 | <span·class="go">4.88·ms·+-·1.24·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·100·loops·each)</span> |
| 1819 | </pre></div> | 1819 | </pre></div> |
| 1820 | </div> | 1820 | </div> |
| 1821 | <p>For·more·details,·see·the·<a·class="reference·internal"·href="../user_guide/enhancingperf.html#enhancingperf-eval"><span·class="std·std-ref">the·docs</span></a></p> | 1821 | <p>For·more·details,·see·the·<a·class="reference·internal"·href="../user_guide/enhancingperf.html#enhancingperf-eval"><span·class="std·std-ref">the·docs</span></a></p> |
| 1822 | </li> | 1822 | </li> |
| 1823 | <li><p>Similar·to·<code·class="docutils·literal·notranslate"><span·class="pre">pandas.eval</span></code>,·<a·class="reference·internal"·href="../reference/api/pandas.DataFrame.html#pandas.DataFrame"·title="pandas.DataFrame"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DataFrame</span></code></a>·has·a·new | 1823 | <li><p>Similar·to·<code·class="docutils·literal·notranslate"><span·class="pre">pandas.eval</span></code>,·<a·class="reference·internal"·href="../reference/api/pandas.DataFrame.html#pandas.DataFrame"·title="pandas.DataFrame"><code·class="xref·py·py-class·docutils·literal·notranslate"><span·class="pre">DataFrame</span></code></a>·has·a·new |
| 1824 | <code·class="docutils·literal·notranslate"><span·class="pre">DataFrame.eval</span></code>·method·that·evaluates·an·expression·in·the·context·of | 1824 | <code·class="docutils·literal·notranslate"><span·class="pre">DataFrame.eval</span></code>·method·that·evaluates·an·expression·in·the·context·of |
| 1825 | the·<code·class="docutils·literal·notranslate"><span·class="pre">DataFrame</span></code>.·For·example,</p> | 1825 | the·<code·class="docutils·literal·notranslate"><span·class="pre">DataFrame</span></code>.·For·example,</p> |
| Offset 1039, 18 lines modified | Offset 1039, 18 lines modified | ||
| 1039 | ······In·[99]:·df1,·df2,·df3,·df4·=·[pd.DataFrame(np.random.randn(nrows, | 1039 | ······In·[99]:·df1,·df2,·df3,·df4·=·[pd.DataFrame(np.random.randn(nrows, |
| 1040 | ······ncols)) | 1040 | ······ncols)) |
| 1041 | ·········....:·······················for·_·in·range(4)] | 1041 | ·········....:·······················for·_·in·range(4)] |
| 1042 | ·········....: | 1042 | ·········....: |
| 1043 | ······#·eval·with·NumExpr·backend | 1043 | ······#·eval·with·NumExpr·backend |
| 1044 | ······In·[100]:·%timeit·pd.eval('df1·+·df2·+·df3·+·df4') | 1044 | ······In·[100]:·%timeit·pd.eval('df1·+·df2·+·df3·+·df4') |
| 1045 | ······ | 1045 | ······8.45·ms·+-·1.2·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·100·loops·each) |
| 1046 | ······#·pure·Python·evaluation | 1046 | ······#·pure·Python·evaluation |
| 1047 | ······In·[101]:·%timeit·df1·+·df2·+·df3·+·df4 | 1047 | ······In·[101]:·%timeit·df1·+·df2·+·df3·+·df4 |
| 1048 | ······ | 1048 | ······4.88·ms·+-·1.24·ms·per·loop·(mean·+-·std.·dev.·of·7·runs,·100·loops·each) |
| 1049 | ······For·more·details,·see·the·_\x8t_\x8h_\x8e_\x8·_\x8d_\x8o_\x8c_\x8s | 1049 | ······For·more·details,·see·the·_\x8t_\x8h_\x8e_\x8·_\x8d_\x8o_\x8c_\x8s |
| 1050 | ····*·Similar·to·pandas.eval,·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e·has·a·new·DataFrame.eval·method·that | 1050 | ····*·Similar·to·pandas.eval,·_\x8D_\x8a_\x8t_\x8a_\x8F_\x8r_\x8a_\x8m_\x8e·has·a·new·DataFrame.eval·method·that |
| 1051 | ······evaluates·an·expression·in·the·context·of·the·DataFrame.·For·example, | 1051 | ······evaluates·an·expression·in·the·context·of·the·DataFrame.·For·example, |
| 1052 | ······In·[102]:·df·=·pd.DataFrame(np.random.randn(10,·2),·columns=['a',·'b']) | 1052 | ······In·[102]:·df·=·pd.DataFrame(np.random.randn(10,·2),·columns=['a',·'b']) |
| 1053 | ······In·[103]:·df.eval('a·+·b') | 1053 | ······In·[103]:·df.eval('a·+·b') |
| 1054 | ······Out[103]: | 1054 | ······Out[103]: |
| Offset 1719, 18 lines modified | Offset 1719, 18 lines modified | ||
| 1719 | </div> | 1719 | </div> |
| 1720 | <div·class="admonition·note"> | 1720 | <div·class="admonition·note"> |
| 1721 | <p·class="admonition-title">Note</p> | 1721 | <p·class="admonition-title">Note</p> |
| 1722 | <p>If·you·want·to·perform·calculations·based·on·today’s·date,·use·<code·class="docutils·literal·notranslate"><span·class="pre">Timestamp.now()</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">pandas.tseries.offsets</span></code>.</p> | 1722 | <p>If·you·want·to·perform·calculations·based·on·today’s·date,·use·<code·class="docutils·literal·notranslate"><span·class="pre">Timestamp.now()</span></code>·and·<code·class="docutils·literal·notranslate"><span·class="pre">pandas.tseries.offsets</span></code>.</p> |
| 1723 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[66]:·</span><span·class="kn">import</span>·<span·class="nn">pandas.tseries.offsets</span>·<span·class="k">as</span>·<span·class="nn">offsets</span> | 1723 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[66]:·</span><span·class="kn">import</span>·<span·class="nn">pandas.tseries.offsets</span>·<span·class="k">as</span>·<span·class="nn">offsets</span> |
| 1724 | <span·class="gp">In·[67]:·</span><span·class="n">pd</span><span·class="o">.</span><span·class="n">Timestamp</span><span·class="o">.</span><span·class="n">now</span><span·class="p">()</span> | 1724 | <span·class="gp">In·[67]:·</span><span·class="n">pd</span><span·class="o">.</span><span·class="n">Timestamp</span><span·class="o">.</span><span·class="n">now</span><span·class="p">()</span> |
| 1725 | <span·class="gh">Out[67]:·</span><span·class="go">Timestamp('202 | 1725 | <span·class="gh">Out[67]:·</span><span·class="go">Timestamp('2024-05-06·19:00:26.613290')</span> |
| 1726 | <span·class="gp">In·[68]:·</span><span·class="n">pd</span><span·class="o">.</span><span·class="n">Timestamp</span><span·class="o">.</span><span·class="n">now</span><span·class="p">()</span>·<span·class="o">+</span>·<span·class="n">offsets</span><span·class="o">.</span><span·class="n">DateOffset</span><span·class="p">(</span><span·class="n">years</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span> | 1726 | <span·class="gp">In·[68]:·</span><span·class="n">pd</span><span·class="o">.</span><span·class="n">Timestamp</span><span·class="o">.</span><span·class="n">now</span><span·class="p">()</span>·<span·class="o">+</span>·<span·class="n">offsets</span><span·class="o">.</span><span·class="n">DateOffset</span><span·class="p">(</span><span·class="n">years</span><span·class="o">=</span><span·class="mi">1</span><span·class="p">)</span> |
| 1727 | <span·class="gh">Out[68]:·</span><span·class="go">Timestamp('202 | 1727 | <span·class="gh">Out[68]:·</span><span·class="go">Timestamp('2025-05-06·19:00:26.615552')</span> |
| 1728 | </pre></div> | 1728 | </pre></div> |
| 1729 | </div> | 1729 | </div> |
| 1730 | </div> | 1730 | </div> |
| 1731 | </section> | 1731 | </section> |
| 1732 | </section> | 1732 | </section> |
| 1733 | <section·id="changes-to-index-comparisons"> | 1733 | <section·id="changes-to-index-comparisons"> |
| 1734 | <h3>Changes·to·Index·comparisons<a·class="headerlink"·href="#changes-to-index-comparisons"·title="Link·to·this·heading">¶</a></h3> | 1734 | <h3>Changes·to·Index·comparisons<a·class="headerlink"·href="#changes-to-index-comparisons"·title="Link·to·this·heading">¶</a></h3> |
| Offset 826, 18 lines modified | Offset 826, 18 lines modified | ||
| 826 | freq=None) | 826 | freq=None) |
| 827 | Note | 827 | Note |
| 828 | If·you·want·to·perform·calculations·based·on·today’s·date,·use·Timestamp.now() | 828 | If·you·want·to·perform·calculations·based·on·today’s·date,·use·Timestamp.now() |
| 829 | and·pandas.tseries.offsets. | 829 | and·pandas.tseries.offsets. |
| 830 | In·[66]:·import·pandas.tseries.offsets·as·offsets | 830 | In·[66]:·import·pandas.tseries.offsets·as·offsets |
| 831 | In·[67]:·pd.Timestamp.now() | 831 | In·[67]:·pd.Timestamp.now() |
| 832 | Out[67]:·Timestamp('202 | 832 | Out[67]:·Timestamp('2024-05-06·19:00:26.613290') |
| 833 | In·[68]:·pd.Timestamp.now()·+·offsets.DateOffset(years=1) | 833 | In·[68]:·pd.Timestamp.now()·+·offsets.DateOffset(years=1) |
| 834 | Out[68]:·Timestamp('202 | 834 | Out[68]:·Timestamp('2025-05-06·19:00:26.615552') |
| 835 | *\x8**\x8**\x8**\x8*·C\x8Ch\x8ha\x8an\x8ng\x8ge\x8es\x8s·t\x8to\x8o·I\x8In\x8nd\x8de\x8ex\x8x·c\x8co\x8om\x8mp\x8pa\x8ar\x8ri\x8is\x8so\x8on\x8ns\x8s_\x8?\x8¶·*\x8**\x8**\x8**\x8* | 835 | *\x8**\x8**\x8**\x8*·C\x8Ch\x8ha\x8an\x8ng\x8ge\x8es\x8s·t\x8to\x8o·I\x8In\x8nd\x8de\x8ex\x8x·c\x8co\x8om\x8mp\x8pa\x8ar\x8ri\x8is\x8so\x8on\x8ns\x8s_\x8?\x8¶·*\x8**\x8**\x8**\x8* |
| 836 | Operator·equal·on·Index·should·behavior·similarly·to·Series·(_\x8G_\x8H_\x8·_\x89_\x89_\x84_\x87,·_\x8G_\x8H_\x8·_\x81_\x80_\x86_\x83_\x87) | 836 | Operator·equal·on·Index·should·behavior·similarly·to·Series·(_\x8G_\x8H_\x8·_\x89_\x89_\x84_\x87,·_\x8G_\x8H_\x8·_\x81_\x80_\x86_\x83_\x87) |
| 837 | Starting·in·v0.17.0,·comparing·Index·objects·of·different·lengths·will·raise·a | 837 | Starting·in·v0.17.0,·comparing·Index·objects·of·different·lengths·will·raise·a |
| 838 | ValueError.·This·is·to·be·consistent·with·the·behavior·of·Series. | 838 | ValueError.·This·is·to·be·consistent·with·the·behavior·of·Series. |
| 839 | Previous·behavior: | 839 | Previous·behavior: |
| 840 | In·[2]:·pd.Index([1,·2,·3])·==·pd.Index([1,·4,·5]) | 840 | In·[2]:·pd.Index([1,·2,·3])·==·pd.Index([1,·4,·5]) |
| 841 | Out[2]:·array([·True,·False,·False],·dtype=bool) | 841 | Out[2]:·array([·True,·False,·False],·dtype=bool) |
| Offset 1269, 18 lines modified | Offset 1269, 18 lines modified | ||
| 1269 | a·new·ndarray·of·period·objects·each·time.</p> | 1269 | a·new·ndarray·of·period·objects·each·time.</p> |
| 1270 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[18]:·</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">values</span> | 1270 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[18]:·</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">values</span> |
| 1271 | <span·class="gh">Out[18]:·</span> | 1271 | <span·class="gh">Out[18]:·</span> |
| 1272 | <span·class="go">array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'),</span> | 1272 | <span·class="go">array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'),</span> |
| 1273 | <span·class="go">·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object)</span> | 1273 | <span·class="go">·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object)</span> |
| 1274 | <span·class="gp">In·[19]:·</span><span·class="nb">id</span><span·class="p">(</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">values</span><span·class="p">)</span> | 1274 | <span·class="gp">In·[19]:·</span><span·class="nb">id</span><span·class="p">(</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">values</span><span·class="p">)</span> |
| 1275 | <span·class="gh">Out[19]:·</span><span·class="go">28147 | 1275 | <span·class="gh">Out[19]:·</span><span·class="go">281471918485264</span> |
| 1276 | <span·class="gp">In·[20]:·</span><span·class="nb">id</span><span·class="p">(</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">values</span><span·class="p">)</span> | 1276 | <span·class="gp">In·[20]:·</span><span·class="nb">id</span><span·class="p">(</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">values</span><span·class="p">)</span> |
| 1277 | <span·class="gh">Out[20]:·</span><span·class="go">28147 | 1277 | <span·class="gh">Out[20]:·</span><span·class="go">281471939107824</span> |
| 1278 | </pre></div> | 1278 | </pre></div> |
| 1279 | </div> | 1279 | </div> |
| 1280 | <p>If·you·need·an·actual·NumPy·array,·use·<a·class="reference·internal"·href="../reference/api/pandas.Series.to_numpy.html#pandas.Series.to_numpy"·title="pandas.Series.to_numpy"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">Series.to_numpy()</span></code></a>·or·<a·class="reference·internal"·href="../reference/api/pandas.Index.to_numpy.html#pandas.Index.to_numpy"·title="pandas.Index.to_numpy"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">Index.to_numpy()</span></code></a>.</p> | 1280 | <p>If·you·need·an·actual·NumPy·array,·use·<a·class="reference·internal"·href="../reference/api/pandas.Series.to_numpy.html#pandas.Series.to_numpy"·title="pandas.Series.to_numpy"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">Series.to_numpy()</span></code></a>·or·<a·class="reference·internal"·href="../reference/api/pandas.Index.to_numpy.html#pandas.Index.to_numpy"·title="pandas.Index.to_numpy"><code·class="xref·py·py-meth·docutils·literal·notranslate"><span·class="pre">Index.to_numpy()</span></code></a>.</p> |
| 1281 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[21]:·</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">to_numpy</span><span·class="p">()</span> | 1281 | <div·class="highlight-ipython·notranslate"><div·class="highlight"><pre><span></span><span·class="gp">In·[21]:·</span><span·class="n">idx</span><span·class="o">.</span><span·class="n">to_numpy</span><span·class="p">()</span> |
| 1282 | <span·class="gh">Out[21]:·</span> | 1282 | <span·class="gh">Out[21]:·</span> |
| 1283 | <span·class="go">array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'),</span> | 1283 | <span·class="go">array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'),</span> |
| 1284 | <span·class="go">·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object)</span> | 1284 | <span·class="go">·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object)</span> |
| Offset 312, 18 lines modified | Offset 312, 18 lines modified | ||
| 312 | each·time. | 312 | each·time. |
| 313 | In·[18]:·idx.values | 313 | In·[18]:·idx.values |
| 314 | Out[18]: | 314 | Out[18]: |
| 315 | array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'), | 315 | array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'), |
| 316 | ·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object) | 316 | ·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object) |
| 317 | In·[19]:·id(idx.values) | 317 | In·[19]:·id(idx.values) |
| 318 | Out[19]:·28147 | 318 | Out[19]:·281471918485264 |
| 319 | In·[20]:·id(idx.values) | 319 | In·[20]:·id(idx.values) |
| 320 | Out[20]:·28147 | 320 | Out[20]:·281471939107824 |
| 321 | If·you·need·an·actual·NumPy·array,·use·_\x8S_\x8e_\x8r_\x8i_\x8e_\x8s_\x8._\x8t_\x8o_\x8__\x8n_\x8u_\x8m_\x8p_\x8y_\x8(_\x8)·or·_\x8I_\x8n_\x8d_\x8e_\x8x_\x8._\x8t_\x8o_\x8__\x8n_\x8u_\x8m_\x8p_\x8y_\x8(_\x8). | 321 | If·you·need·an·actual·NumPy·array,·use·_\x8S_\x8e_\x8r_\x8i_\x8e_\x8s_\x8._\x8t_\x8o_\x8__\x8n_\x8u_\x8m_\x8p_\x8y_\x8(_\x8)·or·_\x8I_\x8n_\x8d_\x8e_\x8x_\x8._\x8t_\x8o_\x8__\x8n_\x8u_\x8m_\x8p_\x8y_\x8(_\x8). |
| 322 | In·[21]:·idx.to_numpy() | 322 | In·[21]:·idx.to_numpy() |
| 323 | Out[21]: | 323 | Out[21]: |
| 324 | array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'), | 324 | array([Period('2000-01-01',·'D'),·Period('2000-01-02',·'D'), |
| 325 | ·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object) | 325 | ·······Period('2000-01-03',·'D'),·Period('2000-01-04',·'D')],·dtype=object) |
| 326 | In·[22]:·pd.Series(idx).to_numpy() | 326 | In·[22]:·pd.Series(idx).to_numpy() |