Counter Examples
Mathematics Dictionary
Dr. K. G. Shih
Keyword - Week Day Index
Contents of Mathematics Dictionary
Question and Answer of Weekday
Weekday Questions

  • Q01 How to find Week Day in MD2002 ?
  • Q02 How to use the week day index ?
  • Q03 What is the week day index table ?
  • Q04 What is leap year ?
  • Q05 How to find weekday using windows ?
  • Q06 How to use Computer method ?
  • Q07 Reference
  • Q08 -
  • Q09 -
  • Q10 -
Answers


Q1 : How to find Week Day in MD2002 ?

Example ... What is the week day of July 7 of 1937 ?
Answer .... Need download the system and run on your computer.
    * Reference : MD2002 11 16
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Q2 : How to use the week day index ?

[Example 1] Find day of week of 25 December of 1985
    * Index for December of 1985 is 5.
    * Day 25 + Index number = 25 + 5 = 30.
    * 30 divide by 7 = 4 and remainer 2.
    * Since remainder is 2, hence it was Tuesday.
[Example 2] Find day of week of 7 July of 1937

    * 1937 is not in the index table. What should we do ?
    * 1937 + 28 = 1965. The year is also not in the Table.
    * 1965 + 28 = 1993. The year 1993 is in table.
    * Use index of 1993 for year 1937.
    * Do it as example 1
[Example 3] Find day of week of 25 December of 2056.

    * Year 2056 is not in the table. What should we do ?
    * 2056 - 28 = 2028. The year is also not in the Table.
    * 2028 - 28 = 2000. The year 2000 is in table.
    * Use index of 2000 for year 2056.
    * Do it as example 1.
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Q3 : What is the week day index table ?
Answer. It is given as below.

Week Day Index Table

    Year .Jan .Feb .Mar .Apr .May .Jun .Jul .Aug .Sep .Oct .Nov .Dec .Year

    1956 ...6 ...2 ...3 ...6 ...1 ...4 ...6 ...2 ...5 ...0 ...3 ...5 1984
    1957 ...1 ...4 ...4 ...0 ...2 ...5 ...0 ...3 ...6 ...1 ...4 ...6 1985
    1958 ...2 ...5 ...5 ...1 ...3 ...6 ...1 ...4 ...0 ...2 ...5 ...0 1986
    1959 ...3 ...6 ...6 ...2 ...4 ...0 ...2 ...5 ...1 ...3 ...6 ...1 1987
    1960 ...4 ...0 ...1 ...4 ...6 ...2 ...4 ...0 ...3 ...5 ...1 ...3 1988
    1961 ...6 ...2 ...2 ...5 ...0 ...3 ...5 ...1 ...4 ...6 ...2 ...4 1989
    1962 ...0 ...3 ...3 ...6 ...1 ...4 ...6 ...2 ...5 ...0 ...3 ...5 1990

    1963 ...1 ...4 ...4 ...0 ...2 ...5 ...0 ...3 ...6 ...1 ...4 ...6 1991
    1964 ...2 ...5 ...6 ...2 ...4 ...0 ...2 ...5 ...1 ...3 ...6 ...1 1992
    1965 ...4 ...0 ...0 ...3 ...5 ...1 ...3 ...6 ...2 ...4 ...0 ...2 1993
    1966 ...5 ...1 ...1 ...4 ...6 ...2 ...4 ...0 ...3 ...5 ...1 ...3 1994
    1967 ...6 ...2 ...2 ...5 ...0 ...3 ...5 ...1 ...4 ...6 ...2 ...4 1995
    1968 ...0 ...3 ...4 ...0 ...2 ...5 ...0 ...3 ...6 ...1 ...4 ...6 1996
    1969 ...2 ...5 ...5 ...1 ...3 ...6 ...1 ...4 ...0 ...2 ...5 ...0 1997

    1970 ...3 ...6 ...6 ...2 ...4 ...0 ...2 ...5 ...1 ...3 ...6 ...1 1998
    1971 ...4 ...0 ...0 ...3 ...5 ...1 ...3 ...6 ...2 ...4 ...0 ...2 1999
    1972 ...5 ...1 ...2 ...5 ...0 ...3 ...5 ...1 ...4 ...6 ...2 ...4 2000
    1973 ...0 ...3 ...3 ...6 ...1 ...4 ...6 ...2 ...5 ...0 ...3 ...5 2001
    1974 ...1 ...4 ...4 ...0 ...2 ...5 ...0 ...3 ...6 ...1 ...4 ...6 2002
    1975 ...2 ...5 ...5 ...1 ...3 ...6 ...1 ...4 ...0 ...2 ...5 ...0 2003
    1976 ...3 ...6 ...0 ...3 ...5 ...1 ...3 ...6 ...2 ...4 ...0 ...2 2004

    1977 ...5 ...1 ...1 ...4 ...6 ...2 ...4 ...0 ...3 ...5 ...1 ...3 2005
    1978 ...6 ...2 ...2 ...5 ...0 ...3 ...5 ...1 ...4 ...6 ...2 ...4 2006
    1979 ...0 ,,,3 ...3 ...6 ...1 ...4 ...6 ...2 ...5 ...0 ...3 ...5 2007
    1980 ...1 ...4 ...5 ...1 ...3 ...6 ...1 ...4 ...0 ...2 ...5 ...0 2008
    1981 ...3 ...6 ...6 ...2 ...4 ...0 ...2 ...5 ...1 ...3 ...6 ...1 2009
    1982 ...4 ...0 ...0 ...3 ...5 ...1 ...3 ...6 ...2 ...4 ...0 ...2 2010
    1983 ...5 ...1 ...1 ...4 ...6 ...2 ...4 ...0 ...3 ...5 ...1 ...3 2011
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Q4 : What is leap year ?
    * In leap year, Feburary has 29 days.
    * Year is a leap year if it is divisible by 4.
    * Centenium year is a leap year if it is divisible by 400.

    * The index table is taken from p135 of Computer Mathematics.
    * Why add ... in table ? Because Html only give one space.

    [Example] Year 1900 A.D. is not leap year. Why ?
      * Year 1900 is divisible by 4.
      * Year 1900 is not divisible by 400.
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Q5 : How to find weekday using windows ?
Procedures
    * Click strat.
    * Click Settings.
    * Click Control Panel.
    * Click Date/Time.
Find the calendar of the year
    * The calendar is given from 1980 to 2099 for Window Me.
    * If year before 1980, we add 28 to the year.
    * if the year is still not after 1980, we 28 again.
Example : Find weekday of December 25 of 1970.
  • 1970 + 28 = 1998.
  • For 1970, we use 1998 calendar
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Q6 : How to use Computer method ?
[Example] Find day of week of December 7 of 1941
    * Need MD2002 system. * Link the program : *** Click here 11 16.
    * Then Give day number e.g. 7.
    * Then Give month number e.g. 12.
    * Then Give year number e.g. 1941.
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Q7. Reference
  • Computer Mathematics by Dr. K. G. Shih, Chapter 15.
  • MD2002 11 16.
  • Chinese calendar : MD2002 main menu.
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Q8. New question
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Q9. New question
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Q10 New question
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Copyright © Dr. K. G. Shih. Nova Scotia, Canada.
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