星期[Weekday] - 达人(其实～我是卧底，来自外星)

2004/12/17 | 星期[Weekday]
类别(¤〖天文〗) | 评论(0) | 阅读(34) | 发表于 13:23: The day of the week is one of Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, or Sunday.
The day of the week W (numbered according to W = 0 for Sunday, W = 1 for Monday, etc.) for a given day of the month D, month M, and year Y can be determined from the simple equation
(1)

where is the floor function of x, months are numbered beginning with March and dates in January and February considered to be the 11th and 12 months of the previous year, so
(2)

(3)

(4)

(5)

(Uspensky and Heaslet 1939, Vardi 1991).
A more complicated form is given by

where W = 1 for Sunday, W = 2 for Monday, etc. and the numbers assigned to months, centuries, and years are given in the tables below (Kraitchik 1942, pp. 110-111).
<DIV ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1"> <TR><TD ALIGN="LEFT">Month</TD> <TD ALIGN="LEFT"><i>M</i></TD> </TR> <TR><TD ALIGN="LEFT">January</TD> <TD ALIGN="LEFT">1</TD> </TR> <TR><TD ALIGN="LEFT">February</TD> <TD ALIGN="LEFT">4</TD> </TR> <TR><TD ALIGN="LEFT">March</TD> <TD ALIGN="LEFT">3</TD> </TR> <TR><TD ALIGN="LEFT">April</TD> <TD ALIGN="LEFT">6</TD> </TR> <TR><TD ALIGN="LEFT">May</TD> <TD ALIGN="LEFT">1</TD> </TR> <TR><TD ALIGN="LEFT">June</TD> <TD ALIGN="LEFT">4</TD> </TR> <TR><TD ALIGN="LEFT">July</TD> <TD ALIGN="LEFT">6</TD> </TR> <TR><TD ALIGN="LEFT">August</TD> <TD ALIGN="LEFT">2</TD> </TR> <TR><TD ALIGN="LEFT">September</TD> <TD ALIGN="LEFT">5</TD> </TR> <TR><TD ALIGN="LEFT">October</TD> <TD ALIGN="LEFT">0</TD> </TR> <TR><TD ALIGN="LEFT">November</TD> <TD ALIGN="LEFT">3</TD> </TR> <TR><TD ALIGN="LEFT">December</TD> <TD ALIGN="LEFT">5</TD> </TR> </TABLE> </div> <div ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1"> <TR><TD ALIGN="LEFT">Gregorian</TD> <TD ALIGN="LEFT"> </TD> </TR> <TR><TD ALIGN="LEFT">Century</TD> <TD ALIGN="LEFT"><i>C</i></TD> </TR> <TR><TD ALIGN="LEFT">15, 19, 23</TD> <TD ALIGN="LEFT">1</TD> </TR> <TR><TD ALIGN="LEFT">16, 20, 24</TD> <TD ALIGN="LEFT">0</TD> </TR> <TR><TD ALIGN="LEFT">17, 21, 25</TD> <TD ALIGN="LEFT">5</TD> </TR> <TR><TD ALIGN="LEFT">18, 22, 26</TD> <TD ALIGN="LEFT">3</TD> </TR> </TABLE> </div> <div ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1"> <TR><TD ALIGN="LEFT">Julian</TD> <TD ALIGN="LEFT"> </TD> </TR> <TR><TD ALIGN="LEFT">Century</TD> <TD ALIGN="LEFT"><i>C</i></TD> </TR> <TR><TD ALIGN="LEFT">00, 07, 14</TD> <TD ALIGN="LEFT">5</TD> </TR> <TR><TD ALIGN="LEFT">01, 08, 15</TD> <TD ALIGN="LEFT">4</TD> </TR> <TR><TD ALIGN="LEFT">02, 09, 16</TD> <TD ALIGN="LEFT">3</TD> </TR> <TR><TD ALIGN="LEFT">03, 10, 17</TD> <TD ALIGN="LEFT">2</TD> </TR> <TR><TD ALIGN="LEFT">04, 11, 18</TD> <TD ALIGN="LEFT">1</TD> </TR> <TR><TD ALIGN="LEFT">05, 12, 19</TD> <TD ALIGN="LEFT">0</TD> </TR> <TR><TD ALIGN="LEFT">06, 13, 20</TD> <TD ALIGN="LEFT">6</TD> </TR> </TABLE> </div> <div ALIGN="CENTER"> <TABLE CELLPADDING=3 BORDER="1"> <TR><TD ALIGN="CENTER" COLSPAN=9>Year</TD> <TD ALIGN="LEFT">Y</TD> </TR> <TR><TD ALIGN="LEFT">00</TD> <TD ALIGN="LEFT">06</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">17</TD> <TD ALIGN="LEFT">23</TD> <TD ALIGN="LEFT">28</TD> <TD ALIGN="LEFT">34</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">45</TD> <TD ALIGN="LEFT">0</TD> </TR> <TR><TD ALIGN="LEFT">01</TD> <TD ALIGN="LEFT">07</TD> <TD ALIGN="LEFT">12</TD> <TD ALIGN="LEFT">18</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">29</TD> <TD ALIGN="LEFT">35</TD> <TD ALIGN="LEFT">40</TD> <TD ALIGN="LEFT">46</TD> <TD ALIGN="LEFT">1</TD> </TR> <TR><TD ALIGN="LEFT">02</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">13</TD> <TD ALIGN="LEFT">19</TD> <TD ALIGN="LEFT">24</TD> <TD ALIGN="LEFT">30</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">41</TD> <TD ALIGN="LEFT">47</TD> <TD ALIGN="LEFT">2</TD> </TR> <TR><TD ALIGN="LEFT">03</TD> <TD ALIGN="LEFT">08</TD> <TD ALIGN="LEFT">14</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">25</TD> <TD ALIGN="LEFT">31</TD> <TD ALIGN="LEFT">36</TD> <TD ALIGN="LEFT">42</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">3</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">09</TD> <TD ALIGN="LEFT">15</TD> <TD ALIGN="LEFT">20</TD> <TD ALIGN="LEFT">26</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">37</TD> <TD ALIGN="LEFT">43</TD> <TD ALIGN="LEFT">48</TD> <TD ALIGN="LEFT">4</TD> </TR> <TR><TD ALIGN="LEFT">04</TD> <TD ALIGN="LEFT">10</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">21</TD> <TD ALIGN="LEFT">27</TD> <TD ALIGN="LEFT">32</TD> <TD ALIGN="LEFT">38</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">49</TD> <TD ALIGN="LEFT">5</TD> </TR> <TR><TD ALIGN="LEFT">05</TD> <TD ALIGN="LEFT">11</TD> <TD ALIGN="LEFT">16</TD> <TD ALIGN="LEFT">22</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">33</TD> <TD ALIGN="LEFT">39</TD> <TD ALIGN="LEFT">44</TD> <TD ALIGN="LEFT">50</TD> <TD ALIGN="LEFT">6</TD> </TR> <TR><TD ALIGN="LEFT">51</TD> <TD ALIGN="LEFT">56</TD> <TD ALIGN="LEFT">62</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">73</TD> <TD ALIGN="LEFT">79</TD> <TD ALIGN="LEFT">84</TD> <TD ALIGN="LEFT">90</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">0</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">57</TD> <TD ALIGN="LEFT">63</TD> <TD ALIGN="LEFT">68</TD> <TD ALIGN="LEFT">74</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">85</TD> <TD ALIGN="LEFT">91</TD> <TD ALIGN="LEFT">96</TD> <TD ALIGN="LEFT">1</TD> </TR> <TR><TD ALIGN="LEFT">52</TD> <TD ALIGN="LEFT">58</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">69</TD> <TD ALIGN="LEFT">75</TD> <TD ALIGN="LEFT">80</TD> <TD ALIGN="LEFT">86</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">97</TD> <TD ALIGN="LEFT">2</TD> </TR> <TR><TD ALIGN="LEFT">53</TD> <TD ALIGN="LEFT">59</TD> <TD ALIGN="LEFT">64</TD> <TD ALIGN="LEFT">70</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">81</TD> <TD ALIGN="LEFT">87</TD> <TD ALIGN="LEFT">92</TD> <TD ALIGN="LEFT">98</TD> <TD ALIGN="LEFT">3</TD> </TR> <TR><TD ALIGN="LEFT">54</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">65</TD> <TD ALIGN="LEFT">71</TD> <TD ALIGN="LEFT">76</TD> <TD ALIGN="LEFT">82</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">93</TD> <TD ALIGN="LEFT">99</TD> <TD ALIGN="LEFT">4</TD> </TR> <TR><TD ALIGN="LEFT">55</TD> <TD ALIGN="LEFT">60</TD> <TD ALIGN="LEFT">66</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">77</TD> <TD ALIGN="LEFT">83</TD> <TD ALIGN="LEFT">88</TD> <TD ALIGN="LEFT">94</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">5</TD> </TR> <TR><TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">61</TD> <TD ALIGN="LEFT">67</TD> <TD ALIGN="LEFT">72</TD> <TD ALIGN="LEFT">78</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">89</TD> <TD ALIGN="LEFT">95</TD> <TD ALIGN="LEFT"> </TD> <TD ALIGN="LEFT">6</TD> </TR> </TABLE> </DIV>
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