Determination of the day of the week

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this means that the Sunday Letter for March to December is one step back in the sequence compared to that for January and February. The letter for any date will be found where the row containing the month (in black) at the left of the "Latin square" meets the column containing the date above the "Latin square". The Sunday letter will be found where the column containing the century (below the "Latin square") meets the row containing the year's last two digits to the right of the "Latin square". For a leap year, the Sunday letter thus found is the one which applies to March to December.

6009:) devised a method resembling a puzzle, yet partly tabular in using the same index numbers for the months as in the "Complete table: Julian and Gregorian calendars" above. He lists the same three adjustments for the first three months of non-leap years, one 7 higher for the last, and gives cryptic instructions for finding the rest; his adjustments for centuries are to be determined using formulas similar to those for the centuries table. Although explicit in asserting that his method also works for 359:"Corresponding months" are those months within the calendar year that start on the same day of the week. For example, September and December correspond, because 1 September falls on the same day as 1 December (as there are precisely thirteen 7-day weeks between the two dates). Months can only correspond if the number of days between their first days is divisible by 7, or in other words, if their first days are a whole number of weeks apart. For example, February of a 8547: 551:

2022 correspond to the last ten months of 2016. 2023 is a common year starting on Sunday, which means that it corresponds to the 2017 calendar year. 2024 is a leap year starting on Monday, which means that it corresponds to the 1996 calendar year. The first two months of 2024 correspond to the first two months of 2018. The last ten months of 2024 correspond to the last ten months of 2013.

5971: 496: 3591: 4244: 271:. Either way is quite viable: the former is easier for calculators and computer programs, the latter for mental calculation (it is quite possible to do all the calculations in one's head with a little practice). None of the methods given here perform range checks, so unreasonable dates will produce erroneous results. 6069:

17, divided by 4, leaves "1" over; 1 from 3 gives "2"; twice 2 is "4". 83 is 6 dozen and 11, giving 17; plus 2 gives 19, i.e. (dividing by 7) "5". Total 9, i.e. "2" The item for August is "8 from 10", i.e. "2"; so, for September, it is "2 plus 31", i.e. "5" Total 7, i.e. "0", which goes out. 18 gives

554:

Each leap year repeats once every 28 years, and every common year repeats once every 6 years and twice every 11 years. For instance, the last occurrence of a leap year starting on Wednesday was 2020 and the next occurrence will be 2048. Likewise, the next common years starting on Friday will be 2027,

6297:

Shortly afterwards, Hans Lachman streamlined their algorithm for ease of use on low-end devices. As designed originally for four-function calculators, his method needs fewer keypad entries by limiting its range either to A.D. 1905–2099, or to historical Julian dates. It was later modified to convert

6051:

Day-item: The total, thus reached, must be corrected, by deducting "1" (first adding 7, if the total be "0"), if the date be January or February in a leap year, remembering that every year, divisible by 4, is a Leap Year, excepting only the century-years, in 'New Style', when the number of centuries

3182: 3041:

The table of month offsets show a divergence in February due to the leap year. A common technique (later used by Zeller) is to shift the month to start with March, so that the leap day is at the tail of the counting. In addition, as later shown by Zeller, the table can be replaced with an arithmetic

2518:

Each day of the year (other than 29 February) has a letter allocated to it in the recurring sequence ABCDEFG. The series begins with A on 1 January and continues to A again on 31 December. The Sunday letter is the one which stands against all the Sundays in the year. Since 29 February has no letter,

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the 1st of the month is a Sunday). Counting forward seven days brings us to the 8th, which is also a Sunday. Counting forward another ten days brings us to the 18th, which is a Wednesday. If instead we were to start on Wednesday the 4th (three days after Sunday the 1st), count forward seven days to

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Note that the date (and hence the day of the week) in the Revised Julian and Gregorian calendars is the same from 14 October 1923 to 28 February AD 2800 inclusive and that for large years it may be possible to subtract 6300 or a multiple thereof before starting so as to reach a year which is within

550:

2021 is a common year starting on Friday, which means that it corresponds to the 2010 calendar year. The first two months of 2021 correspond to the first two months of 2016. 2022 is a common year starting on Saturday, which means that it corresponds to the 2011 calendar year. The last ten months of

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January corresponds to October in common years and April and July in leap years. February corresponds to March and November in common years and August in leap years. March always corresponds to November, April always corresponds to July, and September always corresponds to December. August does not

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described a method for calculating the day of the week for 1 January in any given year in a handwritten note in a collection of astronomical tables. He never published it. It was finally included in his collected works in 1927. Compared to Rata Die, the result helps simplify the counting of years.

1373:

To look up the weekday of any date for any year using the table, subtract 100 from the year, divide the difference by 100, multiply the resulting quotient (omitting fractions) by seven and divide the product by nine. Note the quotient (omitting fractions). Enter the table with the Julian year, and

263:

One standard approach is to look up (or calculate, using a known rule) the value of the first day of the week of a given century, look up (or calculate, using a method of congruence) an adjustment for the month, calculate the number of leap years since the start of the century, and then add these

259:

The basic approach of nearly all of the methods to calculate the day of the week begins by starting from an "anchor date": a known pair (such as 1 January 1800 as a Wednesday), determining the number of days between the known day and the day that you are trying to determine, and using arithmetic

4638: 3455: 826:

For Julian dates before 1300 and after 1999 the year in the table which differs by an exact multiple of 700 years should be used. For Gregorian dates after 2299, the year in the table which differs by an exact multiple of 400 years should be used. The values

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Month-item: If it begins or ends with a vowel, subtract the number, denoting its place in the year, from 10. This, plus its number of days, gives the item for the following month. The item for January is "0"; for February or March, "3"; for December, "12".

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The following formula is an example of a version without a lookup table. The year is assumed to begin in March, meaning dates in January and February should be treated as being part of the preceding year. The formula for the Gregorian calendar is

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8315−6300=2015, 2015−100=1915, 1915/100=19 remainder 15, 19×7=133, 133/9=14 remainder 7. 2015 is 700 years ahead of 1315, so 1315 is used. From table: for hundreds (13): 6. For remaining digits (15): 4. For month (January): 0. For date (27): 27.

3450:

In Zeller's algorithm, the months are numbered from 3 for March to 14 for February. The year is assumed to begin in March; this means, for example, that January 1995 is to be treated as month 13 of 1994. The formula for the Gregorian calendar

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In 1990, Michael Keith and Tom Craver published the foregoing expression that seeks to minimize the number of keystrokes needed to enter a self-contained function for converting a Gregorian date into a numerical day of the week. It returns

5541: 5737: 542:

There are seven possible days that a year can start on, and leap years will alter the day of the week after 29 February. This means that there are 14 configurations that a year can have. All the configurations can be referenced by a

835:" indicate the remainder when the Hundreds value is divided by 7 and 4 respectively, indicating how the series extend in either direction. Both Julian and Gregorian values are shown 1500-1999 for convenience. Bold figures (e.g., 3060: 1397:, calculate the day of the week for either 1 January or 1 October. If it is Sunday, the Dominical Letter is A, if Saturday B, and similarly backwards through the week and forwards through the alphabet to Monday, which is G. 264:

together along with the number of years since the start of the century, and the day number of the month. Eventually, one ends up with a day-count to which one applies modulo 7 to determine the day of the week of the date.

4465: 55:

7, which calculates the remainder of a number after division by 7. Thus, the number 7 is treated as 0, the number 8 as 1, the number 9 as 2, the number 18 as 4, and so on. If Sunday is counted as day 1, then 7 days later

6078:

16 from 18 gives "2" 76 is 6 dozen and 4, giving 10; plus 1 gives 11, i.e. "4". Total "6" The item for February is "3". Total 9, i.e. "2" 23 gives "2". Total "4" Correction for Leap Year gives "3". Answer, "Wednesday".

6013:

dates, his example reproduced below to determine that "1676, February 23" is a Wednesday only works on a Julian calendar which starts the year on January 1, instead of March 25 as on the "Old Style"

4332: 4411: 547:, but as 29 February has no letter allocated to it, a leap year has two dominical letters, one for January and February and the other (one step back in the alphabetical sequence) for March to December. 43:

In numerical calculation, the days of the week are represented as weekday numbers. If Monday is the first day of the week, the days may be coded 1 to 7, for Monday through Sunday, as is practiced in

4782: 5085: 8451: 3586:{\displaystyle w\equiv \left(\left\lfloor {\frac {13(m+1)}{5}}\right\rfloor +\left\lfloor {\frac {y}{4}}\right\rfloor +\left\lfloor {\frac {c}{4}}\right\rfloor +d+y-2c\right){\bmod {7}}} 8374: 4239:{\displaystyle (d+\lfloor (m+1)2.6\rfloor +y+\lfloor y/4\rfloor +\lfloor c/4\rfloor -2c){\bmod {7}}-(d+\lfloor 2.6m-0.2\rfloor +y+\lfloor y/4\rfloor +\lfloor c/4\rfloor -2c){\bmod {7}}} 3918: 3349: 6113:

16 from 18 gives "2" 77 is 6 dozen and 5, giving 11; plus 1 gives 12, i.e. "5". Total "7" The item for February is "3". Total 10, i.e. "3" 23 gives "2". Total "5". Answer, "Friday".

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Compute the following 4 items, adding each, when found, to the total of the previous items. When an item or total exceeds 7, divide by 7, and keep the remainder only.

3775: 3260: 3714: 1400:

Leap years have two Sunday Letters, so for January and February calculate the day of the week for 1 January and for March to December calculate the day of the week for 1 October.

4451: 8249:

Thioux, Marc; Stark, David E.; Klaiman, Cheryl; Schultz, Robert T. (2006). "The day of the week when you were born in 700 ms: Calendar computation in an autistic savant".

5565: 5323: 5273: 4950: 4899: 3831: 3300: 5477: 4706: 4670: 8334: 5654: 5464:

In a partly tabular method by Schwerdtfeger, the year is split into the century and the two digit year within the century. The approach depends on the month. For

4857: 4831: 4805: 4736: 3872: 3851: 3796: 3735: 3678: 3658: 3636: 3614: 2525:

Column "20" meets row "20" at "D". Row "June" meets column "16" at "F". As F is two letters on from D, so the weekday is two days on from Sunday, i.e. Tuesday.

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correspond to any other month in a common year. October doesn't correspond to any other month in a leap year. May and June never correspond to any other month.

3177:{\displaystyle w=\left(d+\lfloor 2.6m-0.2\rfloor +y+\left\lfloor {\frac {y}{4}}\right\rfloor +\left\lfloor {\frac {c}{4}}\right\rfloor -2c\right){\bmod {7}},} 8367: 516: 2599:

Gauss's method was applicable to the Gregorian calendar. He numbered the weekdays from 0 to 6 starting with Sunday. He defined the following operation.

839:) denote leap year. If a year ends in 00 and its hundreds are in bold it is a leap year. Thus 19 indicates that 1900 is not a Gregorian leap year, (but 5985: 367:, January and February correspond to different months than in a common year, since adding 29 February means each subsequent month starts a day later. 4461:

Wang's algorithm for human calculation of the Gregorian calendar is (the formula should be subtracted by 1 if m is 1 or 2 if the year is a leap year)

8905: 8360: 6731:(Tøndering's algorithm is, again, similar in structure to Zeller's congruence and Keith's short code, except that the month-related component is 6090:. Carroll's method however assumes 1 January as the first day of the year, thus he fails to arrive at the correct answer, namely "Friday". 8152: 7861:

collection maintained up to 2001 and distributed on many sites at the time. The provided link points to a HTML-converted older version of the

7892: 7985: 7920: 7833: 510: 4250: 809:, (that is, the Julian calendar as it would have been if it had been operated correctly from the start), 1 BC starts on Thursday. In the 6735:. Sakamoto's is somewhere between the Disparate Gaussian and the Schwerdtfeger's algorithm, apparently unaware of the expression form.) 8128: 7752:

The Julian century beginning 1 BC would also appear on this line of the table (to the left of 700) but there is no space to include it.

4633:{\displaystyle w=\left(d-d_{0}(m)+y_{0}-y_{1}+\left\lfloor y_{0}/4-y_{1}/2\right\rfloor -2\left(c{\bmod {4}}\right)\right){\bmod {7}},} 3045:

This formula was also converted into graphical and tabular methods for calculating any day of the week by Kraitchik and Schwerdtfeger.

8010: 4347: 8625: 8287: 8239: 8343: 7743:

The numbers in the first column are proleptic - the Gregorian calendar was not devised till 1582. See the note beneath the table.

6027:

Take the given date in 4 portions, viz. the number of centuries, the number of years over, the month, the day of the month.

2584:

For example, the date of 13 August 2009 is 733632 days from 1 January AD 1. Taking the number mod 7 yields 4, hence a Thursday.

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Wednesday the 11th (three days after Sunday the 8th), then count forward another seven days, we would end up on Wednesday the

8698: 8027: 4743: 555:

2038, and then 2049. Both of these statements are true unless a leap year is skipped, but that will not happen until 2100.

8879: 6135: 7805: 374:

In the months table below, corresponding months have the same number, a fact which follows directly from the definition.

63:

day 8) is also a Sunday, and day 18 is the same as day 4, which is a Wednesday since this falls three days after Sunday (

9146: 7670: 810: 9136: 8834: 8814: 8760: 8645: 8481: 7829:

NWDOS-TIPs — Tips & Tricks rund um Novell DOS 7, mit Blick auf undokumentierte Details, Bugs und Workarounds

802: 6167:

are, respectively, integer variables representing the year (e.g., 1988), month (1–12) and day of the month (1-31).

8501: 8486: 8424: 8403: 8140: 6116:

It is noteworthy that those who have republished Carroll's method have failed to point out his error, most notably

363:

corresponds to March because February has 28 days, a number divisible by 7, 28 days being exactly four weeks. In a

267:

Some methods do all the additions first and then cast out sevens, whereas others cast them out at each step, as in

7911:

Gauss, Carl F. (1981). "Den Wochentag des 1. Januar eines Jahres zu finden. Gueldene Zahl. Epakte. Ostergrenze.".

506: 9131: 8655: 8466: 3034:, each year adds 1 day to the progression. The rest is adjustment for leap year. The century-based versions have 3030:

The algorithm for the day-of-week of 1 Jan can be proven using modulo arithmetic. The main point is that because

806: 31:

require no calculation by the user, and are essentially lookup tables. A typical application is to calculate the

1415:– all years which divide exactly by 100 (other than those which give remainder 200 or 600 when divided by 900). 9141: 7857:, including the description of many undocumented features and internals. It is part of the author's yet larger 5230:{\displaystyle w=\left(d-d_{0}(m)+y_{0}-y_{1}+\left\lfloor y_{0}/4-y_{1}/2\right\rfloor -c\right){\bmod {7}},} 3882: 3319: 3740: 3225: 8915: 8693: 8595: 8511: 8506: 7884: 6705:

This version encodes the month offsets in the string and as a result requires a computer that uses standard

7705:

To illustrate this in detail it is useful to visualise a calendar depicting a month beginning on a Sunday,

7734:

three days after Sunday the 15th, which itself falls exactly two weeks (two Sundays) after Sunday the 1st.

3683: 3445: 9068: 8329: 8103:

The Universe in a Handkerchief: Lewis Carroll's Mathematical Recreations, Games, Puzzles, and Word Plays

8057: 8190: 8165: 6101:(with 1 January as New Year's Day), he would have accounted for differing year numbers—just like 8895: 8809: 8635: 8496: 6710: 4417: 2982: 2592: 6294:= Monday, etc. This expression uses a less cumbersome month component than does Zeller's algorithm. 6041:' (which began 14 September 1752) divide by 4, take overplus from 3, multiply remainder by 2. 9105: 8900: 8755: 8620: 8572: 8441: 6307: 28: 6044:

Year-item: Add together the number of dozens, the overplus, and the number of 4s in the overplus.

5638:{\displaystyle c=\left\lfloor {\frac {y-1}{100}}\right\rfloor \quad {\text{and}}\quad g=y-1-100c.} 9080: 8854: 8778: 8708: 7977: 7676: 6131: 5846:

is obtained from the following table, which depends on the calendar. For the Gregorian calendar,

52: 7948: 7827: 8928: 8793: 8610: 8283: 8266: 8235: 8231: 8222: 8006: 7981: 7916: 7888: 7681: 6102: 6087: 5536:{\displaystyle c=\left\lfloor {\frac {y}{100}}\right\rfloor \quad {\text{and}}\quad g=y-100c,} 5292: 5242: 4919: 4868: 3801: 3270: 6134:, which has become today's standard in most countries of the world. For more background, see 205: 9073: 8819: 8798: 8750: 8713: 8526: 8340: 8258: 6335: 5732:{\displaystyle w=\left(d+e+f+g+\left\lfloor {\frac {g}{4}}\right\rfloor \right){\bmod {7}},} 2542: 1394: 1356:

adding 1+6+0+0=7. Dividing by 7 leaves a remainder of 0, so the day of the week is Saturday.

544: 4684: 4648: 8804: 8783: 8615: 8587: 8347: 8319: 6127: 6015: 32: 3210:

is 11 = January or 12 = February which are considered part of the preceding year, giving

8304: 8280:

Islands of genius : the bountiful mind of the autistic, acquired, and sudden savant

5984:

Please expand the section to include this information. Further details may exist on the

3680:

is 13 = January or 14 = February which are considered part of the preceding year giving

1409:– all years which divide exactly by 100 (other than those which divide exactly by 400). 9100: 8859: 8849: 8788: 8745: 8577: 8567: 8536: 8436: 8408: 7913:

Werke. herausgegeben von der Koeniglichen Gesellschaft der Wissenschaften zu Goettingen

6303: 6117: 6055:

The final result gives the day of the week, "0" meaning Sunday, "1" Monday, and so on.

4842: 4816: 4790: 4721: 3857: 3836: 3781: 3720: 3663: 3643: 3621: 3599: 2898:

The above procedure can be condensed into a single expression for the Gregorian case:

9125: 8987: 8938: 8923: 8869: 8640: 8476: 8471: 8387: 8325:

World records for mentally calculating the day of the week in the Gregorian Calendar

8324: 8081: 7877: 7660: 6006: 1424: 1403:

Leap years are all years which divide exactly by four with the following exceptions:

8314: 8309: 9085: 8972: 8967: 8962: 8949: 8688: 7854: 7850: 8028:"The Calendrical Works of Rektor Chr. Zeller: The Day-of-Week and Easter Formulae" 4903:

is the null-days function (month offset) with values listed in the following table

1350:

the century mod 4 for the Gregorian calendar and mod 7 for the Julian calendar (0)

8352: 8035: 9095: 9090: 8735: 8718: 8650: 8630: 8516: 8398: 8262: 7781: 360: 8127:

The 4-function Calculator; The Assembly of Motorola 68000 Orphans; The Abacus.

9110: 9063: 9047: 8933: 8839: 8660: 8521: 8491: 8429: 7801: 7777: 7665: 7171:""" Determine whether a year is a leap year. """ 6152: 2469:

October 13 is a F day. The letter F in the year row (07) is located in column

6322:

The tabular forerunner to Tøndering's algorithm is embodied in the following

5082:

An algorithm for the Julian calendar can be derived from the algorithm above

1374:

just before the final division add 50 and subtract the quotient noted above.

813:, (so called because it wasn't devised until 1582), 1 BC starts on Saturday. 801:"Year 000" is, in normal chronology, the year 1 BC (which precedes AD 1). In 9007: 8844: 8728: 8703: 8683: 8600: 8552: 8546: 8531: 7785: 6717: 6124: 6083: 6038: 6034: 6010: 364: 24: 8270: 5970: 7784:; Paul, Matthias R.; Dye, Charles E.; Georgiev, Luchezar I. (2002-02-27). 9042: 9022: 8864: 8770: 8670: 8461: 8456: 6721: 6323: 2554: 1435:

Use this table for finding the day of the week without any calculations.

146: 108: 44: 2537:

is used to indicate a "flooring integer division", and the percent sign

9037: 9027: 8957: 8829: 8740: 8605: 6311: 6105:'s birthday differs—between the two calendars. Then his method yields: 210: 5982:

about transcription in mathematical expressions for easier comparison.

3010:= (6 + 23 + ⌈2.6 × 12⌉ + 5(1854%4) + 4(1854%100) + 6(1854%400))%7 9032: 8982: 8977: 8315:

Compact tabular method for memorisation, also for the Julian calendar

6725: 6299: 525:

by removing items or incorporating them into the text of the article.

214: 8310:"Key Day" method used so as to reduce computation & memorization 8251:

Journal of Experimental Psychology: Human Perception and Performance

1330:

For determination of the day of the week (1 January 2000, Saturday)

4327:{\displaystyle =(\lfloor (m+2+1)2.6-(2.6m-0.2)\rfloor ){\bmod {7}}} 9012: 8824: 8723: 8678: 8282:(1. publ., . ed.). London: Jessica Kingsley. pp. 63–66. 6706: 7915:(2nd ed.). Hildesheim: Georg Olms Verlag. pp. 206–207. 2447:(year row) and the letter C in the year row is located in column 9017: 9002: 8992: 8446: 8383: 6331: 279:

Every seventh day in a month has the same name as the previous:

222: 138: 8356: 8278:

Treffert, Darold A. (2011-10-12). "Why calendar calculating?".

8153:

ftp://ftp.software.ibm.com/ps/products/apl2/info/APL2IDIOMS.pdf

6581:

Sakamoto also simultaneously posted a more obfuscated version:

4758: 4406:{\displaystyle =(\lfloor 2.6m+7.8-2.6m+0.2\rfloor ){\bmod {7}}} 3695: 879: 8997: 5964: 489: 8305:

Tøndering's algorithm for both Gregorian and Julian calendars

8084:). (1887). "To find the day of the week for any given date". 6037:' (which ended 2 September 1752) subtract from 18. For ' 5717: 5215: 4618: 4598: 4428: 4394: 4315: 4227: 4129: 3574: 3162: 2508:), and for the day, the letter (F) become weekday (Saturday)" 7288:''' return day of week of given date as string, 3638:

is the shifted month (March=3,...January = 13, February=14)

2455:(century row) and the letter in the century row and column 8452:

International Earth Rotation and Reference Systems Service

8151:

APL2 IDIOMS workspace: Date and Time Algorithms, line 15.

8129:

gopher://sdf.org/1/users/retroburrowers/TemporalRetrology

1377:

Example: What is the day of the week of 27 January 8315?

7116: 35:

on which someone was born or a specific event occurred.

6326:

function. With minor changes, it was adapted for other

6306:-based devices, there is similarly less need of either 4008:

The only difference is one between Zeller's algorithm (

2577:, conforming to whatever convention was used to encode 2533:

Note on notation: In the following text, the backslash

522: 8118:

Journal of Recreational Mathematics, 22:4, pp.280-282.

8058:"Calculating the day of the week: null-days algorithm" 7972:

Kraitchik, Maurice (1942). "Chapter 5: The calendar".

7291:

using Gauss's algorithm to find it '''

4777:{\displaystyle c=\lfloor {\textit {year}}/100\rfloor } 2561:

that has passed since a date of known day of the week

2522:

So, for example, to find the weekday of 16 June 2020:

1494:

Date letter in year row for the letter in century row

6123:

In 1752, the British Empire abandoned its use of the

5657: 5568: 5480: 5295: 5245: 5088: 4922: 4871: 4845: 4819: 4793: 4746: 4724: 4687: 4651: 4468: 4420: 4350: 4253: 4036: 3885: 3860: 3839: 3804: 3784: 3743: 3723: 3686: 3666: 3646: 3624: 3602: 3458: 3322: 3273: 3228: 3063: 1423:

This is an artefact of recreational mathematics. See

3311:

is the day of the week (0 = Sunday,...,6 = Saturday)

2990:= (30 + 6 + 5(1776%4) + 4(1776%100) + 6(1776%400))%7 9056: 8947: 8914: 8888: 8769: 8669: 8586: 8560: 8417: 8341:

Identify the year by given month, day, day of week.

6732: 6714: 6367:/* 1 <= m <= 12, y > 1752 (in the U.K.) */ 6097:(with 25 March as New Year's Day) is actually 2538: 2534: 47:. The day designated with 7 may also be counted as 8221: 7876: 5731: 5637: 5535: 5317: 5267: 5229: 4944: 4893: 4851: 4825: 4799: 4776: 4730: 4700: 4664: 4632: 4445: 4405: 4326: 4238: 3912: 3866: 3845: 3825: 3790: 3769: 3729: 3708: 3672: 3652: 3630: 3608: 3585: 3343: 3294: 3254: 3200:is the shifted month (March = 1,...,February = 12) 3176: 2451:. 18 ( in the Gregorian century column) is in row 260:modulo 7 to find a new numerical day of the week. 7949:"Gauss' calendar formula for the day of the week" 6334:. Posted by Tomohiko Sakamoto on the comp.lang.c 2435:, so the letter for the date is C located in row 7771: 7769: 7117:Gauss''s method for Gregorian calendar in Python 6338:in 1992, it is accurate for any Gregorian date. 4861:is the day of the week (0=Sunday,...,6=Saturday) 2473:. The letter in the century row (13) and column 817:Tabular methods to calculate the day of the week 23:for any date may be performed with a variety of 8335:World Ranking of Memoriad Mental Calendar Dates 8320:When countries changed from the Julian calendar 7942: 7940: 7938: 7936: 7934: 7932: 2949:= (1 + 5(1999%4) + 4(1999%100) + 6(1999%400))%7 2487:January 1 corresponds to G, G in the year row ( 805:the year 0 comes between 1 BC and AD 1. In the 268: 8076: 8074: 6314:, depending on the intended design objective. 3874:is the day of week (1 = Sunday,..0 = Saturday) 3798:is the year relative to the century, given by 3267:is the year relative to the century, given by 1385:. 73/7=10 remainder 3. Day of week = Tuesday. 822:Complete table: Julian and Gregorian calendars 8368: 8003:Elementary Number Theory and Its Applications 6709:to run the algorithm correctly, reducing its 2557:method works by adding up the number of days 2500:"Date letter (G), letter (G) is in year row ( 8: 8230:(1st ed.). Beijing: O'Reilly. pp. 7804:(in German). Moravia Education. 2015-05-15. 6082:Dates before 1752 would in England be given 4771: 4753: 4387: 4357: 4308: 4260: 4211: 4197: 4191: 4177: 4165: 4150: 4113: 4099: 4093: 4079: 4067: 4046: 3907: 3886: 3764: 3750: 3338: 3323: 3249: 3235: 3096: 3081: 8330:National records for finding Calendar Dates 8375: 8361: 8353: 7879:Mapping Time: The Calendar and Its History 7832:. Release 157 (in German) (3rd ed.). 1361:The formula is w = (d + m + y + c) mod 7. 5720: 5716: 5697: 5656: 5602: 5579: 5567: 5506: 5491: 5479: 5300: 5294: 5250: 5244: 5218: 5214: 5190: 5184: 5169: 5163: 5145: 5132: 5110: 5087: 4927: 4921: 4876: 4870: 4844: 4818: 4792: 4763: 4757: 4756: 4745: 4723: 4692: 4686: 4656: 4650: 4621: 4617: 4601: 4597: 4570: 4564: 4549: 4543: 4525: 4512: 4490: 4467: 4431: 4427: 4419: 4397: 4393: 4349: 4318: 4314: 4252: 4230: 4226: 4203: 4183: 4132: 4128: 4105: 4085: 4035: 3884: 3859: 3838: 3803: 3783: 3756: 3742: 3722: 3694: 3693: 3685: 3665: 3645: 3623: 3601: 3577: 3573: 3533: 3512: 3474: 3457: 3321: 3272: 3241: 3227: 3165: 3161: 3133: 3112: 3062: 2966:= (1 + 5(99%4) + 3 × 99 + 5(19%4))%7 2646:For a Gregorian calendar, the weekday is 2459:is B, so the day of the week is Tuesday. 687:Black means all the months of Common Year 8906:International Commission on Stratigraphy 5896: 5848: 5751: 5279: 4906: 4835:is the month (January=1,...,December=12) 4012:) and the Disparate Gaussian algorithm ( 3913:{\displaystyle \lfloor 2.6(m+1)\rfloor } 3877: 3344:{\displaystyle \lfloor 2.6m-0.2\rfloor } 3314: 2773: 2491:0) corresponds to F in the century row ( 2477:is E, so the day of the week is Friday. 1437: 865: 855:indicates that 2000 is a leap year. Use 707: 560: 376: 281: 75: 16:Methods to calculate the day of the week 7947:Schwerdtfeger, Berndt E. (2010-05-07). 7906: 7904: 7765: 7698: 5648:The formula for the day of the week is 3770:{\displaystyle c=\lfloor Y/100\rfloor } 3255:{\displaystyle c=\lfloor Y/100\rfloor } 2735:Now determine the month-related offset 2565:. The day of-the-week is then given by 2347: 1479:Perpetual Gregorian and Julian calendar 1478: 843:in the Julian column indicates that it 5749:is obtained from the following table: 5742:where the positive modulus is chosen. 4710:is the second last digit of the year ( 2702:For a Julian calendar, the weekday is 2504:0) for the letter (F) in century row ( 2312: 847:a Julian leap year, as are all Julian 884: 876: 873: 699:means the last 10 months of Leap Year 693:means the first 2 months of Leap Year 7: 8105:, pages 24-26. Springer-Verlag. 8005:. Addison Wesley. pp. 134–137. 7802:"HP Prime - Portal: Firmware update" 7673:(Has a calendar calculation contest) 6713:. In addition, both algorithms omit 3709:{\displaystyle Y={\textit {year}}-1} 21:determination of the day of the week 8166:"Date -> Day of week conversion" 8114:Michael Keith; Tom Craver. (1990). 8088:, 31 March 1887. Reprinted in 7113:0: Sunday 1: Monday .. 6: Saturday 6720:, which is allowed in the original 7976:(2nd revised ed.). Mineola: 2983:30 April 1777 and 23 February 1855 2495:), and F corresponds to Saturday. 14: 8626:Discrete time and continuous time 8223:"Hack #43: Calculate any weekday" 8065:Recreational Mathematics Magazine 6052:is not so divisible (e.g. 1800). 4809:is the day of the month (1 to 31) 3833:, or simply the last 2 digits of 3616:is the day of the month (1 to 31) 3302:, or simply the last 2 digits of 3194:is the day of the month (1 to 31) 558:For details see the table below. 8551: 8545: 8139:"Day-of-week algorithm NEEDED!" 8116:The ultimate perpetual calendar? 8056:Wang, Xiang-Sheng (March 2015). 7826:Paul, Matthias R. (1997-07-30). 6738: 6328:high level programming languages 5969: 2662:−1) % 400)) % 7. 2634:First determine the day-of-week 2498:A pithy formula for the method: 1335:the day of the month: 1 ~ 31 (1) 494: 7836:from the original on 2016-11-04 7808:from the original on 2016-11-05 6298:any Gregorian date, even on an 5607: 5601: 5511: 5505: 4674:is the last digit of the year ( 4446:{\displaystyle =8{\bmod {7}}=1} 2739:by using the lookup table with 8699:History of timekeeping devices 8026:Stockton, J. R. (2010-03-19). 5312: 5306: 5262: 5256: 5122: 5116: 4939: 4933: 4888: 4882: 4502: 4496: 4390: 4354: 4311: 4305: 4290: 4281: 4263: 4257: 4223: 4141: 4125: 4061: 4049: 4037: 3904: 3892: 3492: 3480: 2944:, the weekday of 1 January is 2443:. 93 (year mod 100) is in row 1413:In the Revised Julian calendar 1: 8195:Google newsgroups:comp.lang.c 8170:Google newsgroups:comp.lang.c 6136:Old Style and New Style dates 6109:1677 (corrected), February 23 2698:−1) + 5(C%4)) % 7. 1496:All the C days are doomsdays 1383:6 + 4 + 0 + 27 + 50 − 14 = 73 7671:Mental Calculation World Cup 811:proleptic Gregorian calendar 8646:Gravitational time dilation 8482:Barycentric Coordinate Time 8337:(all competitions combined) 8263:10.1037/0096-1523.32.5.1155 7849:is a comprehensive work on 3015:= (6 + 2 + 4 + 3 + 6 + 5)%7 2658:−1) % 100) + 6(( 2543:remainder of such operation 803:astronomical year numbering 135:%_ISODOWI%, %@ISODOWI% 9165: 8502:Geocentric Coordinate Time 8487:Barycentric Dynamical Time 8425:Coordinated Universal Time 8001:Rosen, Kenneth H. (2011). 6086:with 25 March as the 6005:Charles Lutwidge Dodgson ( 3443: 2954:= (1 + 1 + 4 + 0) % 7 2532: 8656:Time-translation symmetry 8543: 8467:International Atomic Time 8394: 8101:Martin Gardner. (1996). 6679:"-bed=pen+mad." 6088:first day of the new year 6070:"4". Answer, "Thursday". 5894:For the Julian calendar, 5552:is between 0 and 99. For 5413: 5377: 5347: 5287: 5040: 5004: 4974: 4914: 4740:is the century, given by 4456: 3439: 2826: 2823: 2654:−1) % 4) + 4(( 2587: 2352: 2314: 1511: 1440: 1407:In the Gregorian calendar 868: 807:proleptic Julian calendar 253:HP financial calculators 8220:Hale-Evans, Ron (2006). 8067:. No. 3. p. 5. 7974:Mathematical recreations 7875:Richards, E. G. (1999). 7120: 6796:% offset if y1 leap year 6742: 6739:Gauss's method in MATLAB 6583: 6340: 6169: 6142:Methods in computer code 5318:{\displaystyle d_{0}(m)} 5268:{\displaystyle d_{0}(m)} 4945:{\displaystyle d_{0}(m)} 4894:{\displaystyle d_{0}(m)} 3879:Table of month offsets ( 3826:{\displaystyle y=Y-100c} 3737:is the century given by 3316:Table of month offsets ( 3295:{\displaystyle y=Y-100c} 3222:is the century given by 2728:−1) + 6C) % 7 2724:−1) % 4) + 3( 2541:is used to indicate the 2514:The Sunday Letter method 1370:or closer to the table. 8916:Astronomical chronology 8889:Archaeology and geology 8596:Absolute space and time 8512:IERS Reference Meridian 8507:International Date Line 8418:International standards 7885:Oxford University Press 6317: 6065:1783, September 18 2995:= (2 + 6 + 0 + 3 + 6)%7 2775:Table of month offsets 2529:Mathematical algorithms 1365:Revised Julian calendar 704:Corresponding centuries 8228:Mind performance hacks 6074:1676, February 23 6057: 5980:is missing information 5961:Lewis Carroll's method 5960: 5733: 5639: 5537: 5460:Schwerdtfeger's method 5459: 5319: 5269: 5231: 4946: 4895: 4853: 4827: 4801: 4778: 4732: 4702: 4666: 4634: 4447: 4407: 4328: 4240: 3914: 3868: 3847: 3827: 3792: 3771: 3731: 3710: 3674: 3654: 3632: 3610: 3587: 3345: 3296: 3256: 3178: 2923:For year number 2000, 269:Lewis Carroll's method 8875:Weekday determination 8761:Sundial markup schema 7787:4DOS 8.00 online help 6025: 5734: 5640: 5538: 5320: 5270: 5232: 4947: 4896: 4854: 4828: 4802: 4779: 4733: 4703: 4701:{\displaystyle y_{1}} 4667: 4665:{\displaystyle y_{0}} 4635: 4448: 4408: 4329: 4241: 3915: 3869: 3848: 3828: 3793: 3772: 3732: 3711: 3675: 3655: 3633: 3611: 3588: 3346: 3297: 3257: 3179: 3026:Explanation and notes 2900: 2718: 2704: 2688: 2648: 2422:26 December 1893 (GD) 874:Remaining Year Digits 219:%_DOWI%, %@DOWI% 8896:Chronological dating 8636:Theory of relativity 8497:Daylight saving time 7980:. pp. 109–116. 6745:% example date input 6093:Had he noticed that 5655: 5566: 5478: 5293: 5243: 5086: 4920: 4869: 4843: 4817: 4791: 4744: 4722: 4685: 4649: 4466: 4418: 4348: 4251: 4034: 3883: 3858: 3837: 3802: 3782: 3741: 3721: 3684: 3664: 3644: 3622: 3600: 3456: 3320: 3271: 3226: 3061: 2910:−1)%100) + 6(( 2593:Carl Friedrich Gauss 2464:13 October 1307 (JD) 2431:and 26 is in column 1427:for an explanation. 863:only in leap years. 355:Corresponding months 9147:Calendar algorithms 9106:Time value of money 8901:Geologic time scale 8756:History of sundials 8621:Cosmological decade 8573:Greenwich Mean Time 8404:Orders of magnitude 8092:, pp. 299-301. 6724:but not allowed in 6308:processor registers 6155:expressions below, 6033:Century-item: For ' 3921: 3660:is the year unless 3446:Zeller's congruence 3352: 3206:is the year unless 3049:Disparate variation 2971:= (1 + 1 + 3 + 1)%7 2776: 2714:−1)) % 7 2686:, and the value is 2664:Alternatively, set 2482:1 January 2000 (GD) 2427:December is in row 929:00 06 17 23 486:Corresponding years 29:perpetual calendars 9137:Gregorian calendar 9081:Mental chronometry 8709:Marine chronometer 8561:Obsolete standards 8346:2018-01-04 at the 7978:Dover Publications 7776:Brothers, Hardin; 7677:Perpetual calendar 6318:Sakamoto's methods 6132:Gregorian calendar 6130:upon adopting the 5729: 5635: 5533: 5315: 5265: 5227: 4942: 4891: 4849: 4823: 4797: 4774: 4728: 4698: 4662: 4630: 4443: 4403: 4324: 4236: 3910: 3878: 3864: 3843: 3823: 3788: 3767: 3727: 3706: 3670: 3650: 3628: 3606: 3583: 3440:Zeller's algorithm 3341: 3315: 3292: 3252: 3174: 3036:36525 % 7 = 6 2906:−1)%4) + 4(( 2774: 792:000: 1600 2000 ... 789:500: 1200 1900 ... 779:600: 1300 2000 ... 771:100: 1700 2100 ... 768:700: 1400 2100 ... 758:100 0800 1500 ... 750:200: 1800 2200 ... 747:200 0900 1600 ... 737:300: 1000 1700 ... 729:300: 1500 1900 ... 726:400: 1100 1800 ... 523:clean up the lists 275:Corresponding days 51:, by applying the 9119: 9118: 8929:Nuclear timescale 8611:Continuous signal 7954:(1.4.26 ed.) 7894:978-0-19-850413-9 7682:Buddhist calendar 6718:type declarations 6103:George Washington 6099:1677, February 23 6095:1676, February 23 6003: 6002: 5958: 5957: 5892: 5891: 5840: 5839: 5705: 5605: 5595: 5509: 5499: 5452: 5451: 5080: 5079: 4852:{\displaystyle w} 4826:{\displaystyle m} 4800:{\displaystyle d} 4760: 4731:{\displaystyle c} 4338:but March = 1 in 4006: 4005: 3867:{\displaystyle w} 3846:{\displaystyle Y} 3791:{\displaystyle y} 3730:{\displaystyle c} 3697: 3673:{\displaystyle m} 3653:{\displaystyle Y} 3631:{\displaystyle m} 3609:{\displaystyle d} 3541: 3520: 3499: 3437: 3436: 3141: 3120: 2981:The weekdays for 2914:−1)%400))%7 2896: 2895: 2710:−1)%4) + 3( 2694:−1)%4) + 3( 2588:Gauss's algorithm 2416:For common method 2408: 2407: 1328: 1327: 1273: 1222: 1213: 1157: 1101: 1092: 1057:58 69 75 1051:30 41 47 1045:02 13 19 1036: 983: 974: 926: 910: 901: 894: 871: 870:Hundreds of Years 799: 798: 716:Gregorian century 681: 680: 540: 539: 483: 482: 352: 351: 257: 256: 53:arithmetic modulo 9154: 9132:Days of the week 8820:Dominical letter 8751:Equation of time 8714:Marine sandglass 8555: 8549: 8527:Terrestrial Time 8384:Time measurement 8377: 8370: 8363: 8354: 8293: 8274: 8257:(5): 1155–1168. 8245: 8225: 8206: 8205: 8203: 8202: 8187: 8181: 8180: 8178: 8177: 8162: 8156: 8149: 8143: 8137: 8131: 8125: 8119: 8112: 8106: 8099: 8093: 8078: 8069: 8068: 8062: 8053: 8047: 8046: 8044: 8043: 8034:. Archived from 8023: 8017: 8016: 7998: 7992: 7991: 7987:978-0-48645358-3 7969: 7963: 7962: 7960: 7959: 7953: 7944: 7927: 7926: 7922:978-3-48704643-3 7908: 7899: 7898: 7882: 7872: 7866: 7864: 7860: 7848: 7844: 7842: 7841: 7823: 7817: 7816: 7814: 7813: 7798: 7792: 7791: 7773: 7753: 7750: 7744: 7741: 7735: 7733: 7732: 7728: 7723: 7722: 7718: 7711: 7703: 7650: 7647: 7644: 7641: 7638: 7635: 7632: 7629: 7626: 7623: 7620: 7617: 7614: 7611: 7608: 7605: 7602: 7599: 7596: 7593: 7590: 7587: 7584: 7581: 7578: 7575: 7572: 7569: 7565: 7562: 7559: 7556: 7553: 7550: 7547: 7544: 7541: 7538: 7535: 7532: 7529: 7526: 7523: 7520: 7517: 7514: 7511: 7508: 7505: 7502: 7499: 7496: 7493: 7490: 7487: 7484: 7481: 7478: 7475: 7472: 7469: 7466: 7463: 7460: 7457: 7454: 7451: 7448: 7445: 7442: 7439: 7436: 7433: 7430: 7427: 7424: 7421: 7418: 7415: 7412: 7409: 7406: 7403: 7400: 7397: 7394: 7391: 7388: 7385: 7382: 7379: 7376: 7373: 7370: 7367: 7364: 7361: 7358: 7355: 7352: 7349: 7346: 7343: 7340: 7337: 7334: 7331: 7328: 7325: 7322: 7319: 7316: 7313: 7310: 7307: 7304: 7301: 7298: 7295: 7292: 7289: 7286: 7283: 7280: 7277: 7274: 7271: 7268: 7265: 7262: 7259: 7256: 7253: 7250: 7247: 7244: 7241: 7238: 7235: 7232: 7229: 7226: 7223: 7220: 7217: 7214: 7211: 7208: 7205: 7202: 7199: 7196: 7193: 7190: 7187: 7184: 7181: 7178: 7175: 7172: 7169: 7166: 7163: 7160: 7157: 7154: 7151: 7148: 7145: 7142: 7139: 7136: 7133: 7130: 7127: 7124: 7109: 7106: 7103: 7100: 7097: 7094: 7091: 7088: 7085: 7082: 7079: 7076: 7073: 7070: 7067: 7064: 7061: 7058: 7055: 7052: 7049: 7046: 7043: 7040: 7037: 7034: 7031: 7028: 7025: 7022: 7019: 7016: 7013: 7010: 7007: 7004: 7001: 6998: 6995: 6992: 6989: 6986: 6983: 6980: 6977: 6974: 6971: 6968: 6965: 6962: 6959: 6956: 6953: 6950: 6947: 6944: 6941: 6938: 6935: 6932: 6929: 6926: 6923: 6920: 6917: 6914: 6911: 6908: 6905: 6902: 6899: 6896: 6893: 6890: 6887: 6884: 6881: 6878: 6875: 6872: 6869: 6866: 6863: 6860: 6857: 6854: 6851: 6848: 6845: 6842: 6839: 6836: 6833: 6830: 6827: 6824: 6821: 6818: 6815: 6812: 6809: 6806: 6803: 6800: 6797: 6794: 6791: 6788: 6785: 6782: 6779: 6776: 6773: 6770: 6767: 6764: 6761: 6758: 6755: 6752: 6749: 6746: 6734: 6716: 6701: 6698: 6695: 6692: 6689: 6686: 6683: 6680: 6677: 6674: 6671: 6668: 6665: 6662: 6659: 6656: 6653: 6650: 6647: 6644: 6641: 6638: 6635: 6632: 6629: 6626: 6623: 6620: 6617: 6614: 6611: 6608: 6605: 6602: 6599: 6596: 6593: 6590: 6587: 6577: 6573: 6566: 6563: 6560: 6557: 6554: 6551: 6548: 6545: 6542: 6539: 6536: 6533: 6530: 6527: 6524: 6521: 6518: 6515: 6512: 6509: 6506: 6503: 6500: 6497: 6494: 6491: 6488: 6485: 6482: 6479: 6476: 6473: 6470: 6467: 6464: 6461: 6458: 6455: 6452: 6449: 6446: 6443: 6440: 6437: 6434: 6431: 6428: 6425: 6422: 6419: 6416: 6413: 6410: 6407: 6404: 6401: 6398: 6395: 6392: 6389: 6386: 6383: 6380: 6377: 6374: 6371: 6368: 6365: 6362: 6359: 6356: 6353: 6350: 6347: 6344: 6336:Usenet newsgroup 6293: 6289: 6281: 6278: 6275: 6272: 6269: 6266: 6263: 6260: 6257: 6254: 6251: 6248: 6245: 6242: 6239: 6236: 6233: 6230: 6227: 6224: 6221: 6218: 6215: 6212: 6209: 6206: 6203: 6200: 6197: 6194: 6191: 6188: 6185: 6182: 6179: 6176: 6173: 6166: 6162: 6158: 5998: 5995: 5989: 5973: 5965: 5933: 5905: 5897: 5876: 5857: 5849: 5845: 5800: 5757: 5752: 5748: 5738: 5736: 5735: 5730: 5725: 5724: 5715: 5711: 5710: 5706: 5698: 5644: 5642: 5641: 5636: 5606: 5603: 5600: 5596: 5591: 5580: 5558: 5551: 5542: 5540: 5539: 5534: 5510: 5507: 5504: 5500: 5492: 5470: 5455:Other algorithms 5416: 5402: 5380: 5350: 5326: 5324: 5322: 5321: 5316: 5305: 5304: 5285: 5280: 5276: 5274: 5272: 5271: 5266: 5255: 5254: 5236: 5234: 5233: 5228: 5223: 5222: 5213: 5209: 5202: 5198: 5194: 5189: 5188: 5173: 5168: 5167: 5150: 5149: 5137: 5136: 5115: 5114: 5043: 5029: 5007: 4977: 4953: 4951: 4949: 4948: 4943: 4932: 4931: 4912: 4907: 4902: 4900: 4898: 4897: 4892: 4881: 4880: 4860: 4858: 4856: 4855: 4850: 4834: 4832: 4830: 4829: 4824: 4808: 4806: 4804: 4803: 4798: 4783: 4781: 4780: 4775: 4767: 4762: 4761: 4739: 4737: 4735: 4734: 4729: 4709: 4707: 4705: 4704: 4699: 4697: 4696: 4673: 4671: 4669: 4668: 4663: 4661: 4660: 4639: 4637: 4636: 4631: 4626: 4625: 4616: 4612: 4611: 4607: 4606: 4605: 4582: 4578: 4574: 4569: 4568: 4553: 4548: 4547: 4530: 4529: 4517: 4516: 4495: 4494: 4457:Wang's algorithm 4452: 4450: 4449: 4444: 4436: 4435: 4412: 4410: 4409: 4404: 4402: 4401: 4341: 4337: 4333: 4331: 4330: 4325: 4323: 4322: 4245: 4243: 4242: 4237: 4235: 4234: 4207: 4187: 4137: 4136: 4109: 4089: 4026: 4015: 4011: 3922: 3919: 3917: 3916: 3911: 3873: 3871: 3870: 3865: 3852: 3850: 3849: 3844: 3832: 3830: 3829: 3824: 3797: 3795: 3794: 3789: 3776: 3774: 3773: 3768: 3760: 3736: 3734: 3733: 3728: 3715: 3713: 3712: 3707: 3699: 3698: 3679: 3677: 3676: 3671: 3659: 3657: 3656: 3651: 3637: 3635: 3634: 3629: 3615: 3613: 3612: 3607: 3592: 3590: 3589: 3584: 3582: 3581: 3572: 3568: 3546: 3542: 3534: 3525: 3521: 3513: 3504: 3500: 3495: 3475: 3353: 3350: 3348: 3347: 3342: 3310: 3305: 3301: 3299: 3298: 3293: 3266: 3261: 3259: 3258: 3253: 3245: 3221: 3216: 3215:= year − 1 3209: 3205: 3199: 3193: 3183: 3181: 3180: 3175: 3170: 3169: 3160: 3156: 3146: 3142: 3134: 3125: 3121: 3113: 3037: 3033: 3032:365 % 7 = 1 3021: 3016: 3011: 3001: 2996: 2991: 2977: 2972: 2967: 2960: 2955: 2950: 2943: 2936: 2929: 2915: 2777: 2767: 2742: 2738: 2729: 2715: 2699: 2685: 2674: 2663: 2642: 2617: 2613: 2609: 2580: 2576: 2564: 2560: 2540: 2536: 2507: 2503: 2494: 2490: 2476: 2472: 2458: 2454: 2450: 2446: 2442: 2438: 2434: 2430: 2404: 2397: 2390: 2383: 2376: 2369: 2362: 2324: 2307: 2297: 2281: 2265: 2249: 2244: 2239: 2234: 2229: 2224: 2219: 2203: 2183: 2167: 2151: 2122: 2108: 2096: 2080: 2064: 2048: 2025: 2018: 2007: 1989: 1973: 1957: 1926: 1910: 1900: 1884: 1868: 1852: 1826: 1811: 1796: 1780: 1764: 1730: 1715: 1708: 1692: 1676: 1660: 1631: 1626: 1615: 1610: 1492: 1488: 1484: 1438: 1431:Check the result 1395:Dominical Letter 1389:Dominical Letter 1384: 1357: 1351: 1346: 1341: 1336: 1269: 1240:66 77 83 1234:38 49 55 1228:10 21 27 1220: 1209: 1153: 1099: 1088: 1032: 981: 970: 941:62 73 79 935:34 45 51 922: 906: 897: 890: 869: 866: 834: 830: 708: 698: 692: 674: 670: 658: 654: 643: 639: 628: 624: 613: 609: 598: 594: 582: 578: 571: 561: 545:dominical letter 535: 532: 526: 498: 497: 490: 391: 377: 292: 282: 220: 208: 144: 136: 76: 72: 69: 62: 9164: 9163: 9157: 9156: 9155: 9153: 9152: 9151: 9142:Julian calendar 9122: 9121: 9120: 9115: 9052: 8943: 8910: 8884: 8765: 8665: 8616:Coordinate time 8588:Time in physics 8582: 8556: 8550: 8541: 8413: 8390: 8381: 8348:Wayback Machine 8301: 8296: 8290: 8277: 8248: 8242: 8219: 8215: 8213:Further reading 8210: 8209: 8200: 8198: 8191:"DOW algorithm" 8189: 8188: 8184: 8175: 8173: 8172:. December 1992 8164: 8163: 8159: 8150: 8146: 8138: 8134: 8126: 8122: 8113: 8109: 8100: 8096: 8080:Dodgson, C.L. ( 8079: 8072: 8060: 8055: 8054: 8050: 8041: 8039: 8025: 8024: 8020: 8013: 8000: 7999: 7995: 7988: 7971: 7970: 7966: 7957: 7955: 7951: 7946: 7945: 7930: 7923: 7910: 7909: 7902: 7895: 7874: 7873: 7869: 7862: 7858: 7846: 7839: 7837: 7825: 7824: 7820: 7811: 7809: 7800: 7799: 7795: 7775: 7774: 7767: 7762: 7757: 7756: 7751: 7747: 7742: 7738: 7730: 7726: 7724: 7720: 7716: 7714: 7709: 7704: 7700: 7695: 7690: 7657: 7652: 7651: 7648: 7645: 7642: 7639: 7636: 7633: 7630: 7627: 7624: 7621: 7618: 7615: 7612: 7609: 7606: 7603: 7600: 7597: 7594: 7591: 7588: 7585: 7582: 7579: 7576: 7573: 7570: 7567: 7566:\ 7563: 7560: 7557: 7554: 7551: 7548: 7545: 7542: 7539: 7536: 7533: 7530: 7527: 7524: 7521: 7518: 7515: 7512: 7509: 7506: 7503: 7500: 7497: 7494: 7491: 7488: 7485: 7482: 7479: 7476: 7473: 7470: 7467: 7464: 7461: 7458: 7455: 7452: 7449: 7446: 7443: 7440: 7437: 7434: 7431: 7428: 7425: 7422: 7419: 7416: 7413: 7410: 7407: 7404: 7401: 7398: 7395: 7392: 7389: 7386: 7383: 7380: 7377: 7374: 7371: 7368: 7365: 7362: 7359: 7356: 7353: 7350: 7347: 7344: 7341: 7338: 7335: 7332: 7329: 7326: 7323: 7320: 7317: 7314: 7311: 7308: 7305: 7302: 7299: 7296: 7293: 7290: 7287: 7284: 7281: 7278: 7275: 7272: 7269: 7266: 7263: 7260: 7257: 7254: 7251: 7248: 7245: 7242: 7239: 7236: 7233: 7230: 7227: 7224: 7221: 7218: 7215: 7212: 7209: 7206: 7203: 7200: 7197: 7194: 7191: 7188: 7185: 7182: 7179: 7176: 7173: 7170: 7167: 7164: 7161: 7158: 7155: 7152: 7149: 7146: 7143: 7140: 7137: 7134: 7131: 7128: 7125: 7122: 7119: 7111: 7110: 7107: 7104: 7101: 7098: 7095: 7092: 7089: 7086: 7083: 7080: 7077: 7074: 7071: 7068: 7065: 7062: 7059: 7056: 7053: 7050: 7047: 7044: 7041: 7038: 7035: 7032: 7029: 7026: 7023: 7020: 7017: 7014: 7011: 7008: 7005: 7002: 6999: 6996: 6993: 6990: 6987: 6984: 6981: 6978: 6975: 6972: 6969: 6966: 6963: 6960: 6957: 6954: 6951: 6948: 6945: 6942: 6939: 6936: 6933: 6930: 6927: 6924: 6921: 6918: 6915: 6912: 6909: 6906: 6903: 6900: 6897: 6894: 6891: 6888: 6885: 6882: 6879: 6876: 6873: 6870: 6867: 6864: 6861: 6858: 6855: 6852: 6849: 6846: 6843: 6840: 6837: 6834: 6831: 6828: 6825: 6822: 6819: 6816: 6813: 6810: 6807: 6804: 6801: 6798: 6795: 6792: 6789: 6786: 6783: 6780: 6777: 6774: 6771: 6768: 6765: 6762: 6759: 6756: 6753: 6750: 6747: 6744: 6741: 6703: 6702: 6699: 6696: 6693: 6690: 6687: 6684: 6681: 6678: 6675: 6672: 6669: 6666: 6663: 6660: 6657: 6654: 6651: 6648: 6645: 6642: 6639: 6636: 6633: 6630: 6627: 6624: 6621: 6618: 6615: 6612: 6609: 6606: 6603: 6600: 6597: 6594: 6591: 6588: 6585: 6578:= Monday, etc. 6575: 6571: 6568: 6567: 6564: 6561: 6558: 6555: 6552: 6549: 6546: 6543: 6540: 6537: 6534: 6531: 6528: 6525: 6522: 6519: 6516: 6513: 6510: 6507: 6504: 6501: 6498: 6495: 6492: 6489: 6486: 6483: 6480: 6477: 6474: 6471: 6468: 6465: 6462: 6459: 6456: 6453: 6450: 6447: 6444: 6441: 6438: 6435: 6432: 6429: 6426: 6423: 6420: 6417: 6414: 6411: 6408: 6405: 6402: 6399: 6396: 6393: 6390: 6387: 6384: 6381: 6378: 6375: 6372: 6369: 6366: 6363: 6360: 6357: 6354: 6351: 6348: 6345: 6342: 6320: 6291: 6287: 6283: 6282: 6279: 6276: 6273: 6270: 6267: 6264: 6261: 6258: 6255: 6252: 6249: 6246: 6243: 6240: 6237: 6234: 6231: 6228: 6225: 6222: 6219: 6216: 6213: 6210: 6207: 6204: 6201: 6198: 6195: 6192: 6189: 6186: 6183: 6180: 6177: 6174: 6171: 6164: 6160: 6156: 6149: 6144: 6128:Julian calendar 6016:Julian calendar 5999: 5993: 5990: 5983: 5974: 5963: 5931: 5900: 5874: 5852: 5843: 5798: 5755: 5746: 5693: 5668: 5664: 5653: 5652: 5581: 5575: 5564: 5563: 5556: 5553: 5550: 5547: 5487: 5476: 5475: 5468: 5465: 5462: 5457: 5414: 5400: 5378: 5348: 5296: 5291: 5290: 5288: 5283: 5277:is a doomsday. 5246: 5241: 5240: 5238: 5180: 5159: 5158: 5154: 5141: 5128: 5106: 5099: 5095: 5084: 5083: 5041: 5027: 5005: 4975: 4923: 4918: 4917: 4915: 4910: 4872: 4867: 4866: 4864: 4841: 4840: 4838: 4815: 4814: 4812: 4789: 4788: 4786: 4742: 4741: 4720: 4719: 4717: 4688: 4683: 4682: 4680: 4652: 4647: 4646: 4644: 4593: 4589: 4560: 4539: 4538: 4534: 4521: 4508: 4486: 4479: 4475: 4464: 4463: 4462: 4459: 4416: 4415: 4346: 4345: 4339: 4335: 4249: 4248: 4032: 4031: 4017: 4013: 4009: 3881: 3880: 3856: 3855: 3835: 3834: 3800: 3799: 3780: 3779: 3739: 3738: 3719: 3718: 3682: 3681: 3662: 3661: 3642: 3641: 3620: 3619: 3598: 3597: 3529: 3508: 3476: 3470: 3469: 3465: 3454: 3453: 3452: 3448: 3442: 3318: 3317: 3308: 3303: 3269: 3268: 3264: 3224: 3223: 3219: 3211: 3207: 3203: 3197: 3191: 3129: 3108: 3074: 3070: 3059: 3058: 3051: 3035: 3031: 3028: 3019: 3014: 3009: 2999: 2994: 2989: 2976:= 6 = Saturday. 2975: 2970: 2965: 2958: 2953: 2948: 2938: 2931: 2924: 2921: 2901: 2899: 2757: 2747: 2740: 2736: 2719: 2717: 2705: 2703: 2689: 2687: 2676: 2665: 2649: 2647: 2641: 2635: 2615: 2611: 2610:, month number 2607: 2590: 2578: 2566: 2562: 2558: 2551: 2546: 2531: 2505: 2501: 2492: 2488: 2474: 2470: 2456: 2452: 2448: 2444: 2440: 2436: 2432: 2428: 2402: 2400: 2395: 2393: 2388: 2386: 2381: 2379: 2374: 2372: 2367: 2365: 2360: 2358: 2354: 2344: 2337: 2330: 2322: 2320: 2316: 2305: 2295: 2279: 2263: 2247: 2242: 2237: 2232: 2227: 2222: 2217: 2201: 2181: 2165: 2149: 2120: 2106: 2094: 2078: 2062: 2046: 2023: 2016: 2005: 1987: 1971: 1955: 1924: 1908: 1898: 1882: 1866: 1850: 1824: 1809: 1794: 1778: 1762: 1728: 1713: 1706: 1690: 1674: 1658: 1629: 1624: 1613: 1608: 1603: 1602: 1600: 1598: 1596: 1590: 1589: 1587: 1585: 1583: 1577: 1576: 1574: 1572: 1570: 1564: 1563: 1561: 1559: 1557: 1550: 1548: 1546: 1544: 1537: 1535: 1533: 1531: 1524: 1522: 1520: 1518: 1508: 1503: 1493: 1490: 1486: 1482: 1480: 1475: 1470: 1465: 1460: 1455: 1450: 1445: 1433: 1421: 1391: 1382: 1367: 1355: 1349: 1344: 1339: 1334: 899: 892: 882: 832: 828: 824: 819: 717: 712: 706: 696: 690: 672: 668: 656: 652: 641: 637: 626: 622: 611: 607: 596: 592: 580: 576: 569: 565: 536: 530: 527: 520: 499: 495: 488: 389: 357: 290: 286: 277: 218: 204: 142: 134: 103:Usage examples 70: 67: 60: 41: 33:day of the week 27:. In addition, 17: 12: 11: 5: 9162: 9161: 9158: 9150: 9149: 9144: 9139: 9134: 9124: 9123: 9117: 9116: 9114: 9113: 9108: 9103: 9101:Time metrology 9098: 9093: 9088: 9083: 9078: 9077: 9076: 9066: 9060: 9058: 9057:Related topics 9054: 9053: 9051: 9050: 9045: 9040: 9035: 9030: 9025: 9020: 9015: 9010: 9005: 9000: 8995: 8990: 8985: 8980: 8975: 8970: 8965: 8960: 8954: 8952: 8945: 8944: 8942: 8941: 8936: 8931: 8926: 8920: 8918: 8912: 8911: 8909: 8908: 8903: 8898: 8892: 8890: 8886: 8885: 8883: 8882: 8877: 8872: 8867: 8862: 8857: 8852: 8847: 8842: 8837: 8832: 8827: 8822: 8817: 8812: 8807: 8802: 8796: 8791: 8786: 8781: 8775: 8773: 8767: 8766: 8764: 8763: 8758: 8753: 8748: 8746:Dialing scales 8743: 8738: 8733: 8732: 8731: 8721: 8716: 8711: 8706: 8701: 8696: 8691: 8686: 8681: 8675: 8673: 8667: 8666: 8664: 8663: 8658: 8653: 8648: 8643: 8638: 8633: 8628: 8623: 8618: 8613: 8608: 8603: 8598: 8592: 8590: 8584: 8583: 8581: 8580: 8578:Prime meridian 8575: 8570: 8568:Ephemeris time 8564: 8562: 8558: 8557: 8544: 8542: 8540: 8539: 8537:180th meridian 8534: 8529: 8524: 8519: 8514: 8509: 8504: 8499: 8494: 8489: 8484: 8479: 8474: 8469: 8464: 8459: 8454: 8449: 8444: 8439: 8434: 8433: 8432: 8421: 8419: 8415: 8414: 8412: 8411: 8406: 8401: 8395: 8392: 8391: 8382: 8380: 8379: 8372: 8365: 8357: 8351: 8350: 8338: 8332: 8327: 8322: 8317: 8312: 8307: 8300: 8299:External links 8297: 8295: 8294: 8288: 8275: 8246: 8240: 8216: 8214: 8211: 8208: 8207: 8182: 8157: 8144: 8132: 8120: 8107: 8094: 8070: 8048: 8018: 8012:978-0321500311 8011: 7993: 7986: 7964: 7928: 7921: 7900: 7893: 7867: 7818: 7793: 7764: 7763: 7761: 7758: 7755: 7754: 7745: 7736: 7697: 7696: 7694: 7691: 7689: 7686: 7685: 7684: 7679: 7674: 7668: 7663: 7656: 7653: 7121: 7118: 7115: 7033:weekday_julian 6895:weekday_gregor 6743: 6740: 6737: 6584: 6341: 6319: 6316: 6304:Motorola 68000 6170: 6148: 6145: 6143: 6140: 6118:Martin Gardner 6111: 6110: 6076: 6075: 6067: 6066: 6001: 6000: 5977: 5975: 5968: 5962: 5959: 5956: 5955: 5952: 5949: 5946: 5943: 5940: 5937: 5934: 5928: 5927: 5924: 5921: 5918: 5915: 5912: 5909: 5906: 5890: 5889: 5886: 5883: 5880: 5877: 5871: 5870: 5867: 5864: 5861: 5858: 5838: 5837: 5834: 5831: 5828: 5825: 5822: 5819: 5816: 5813: 5810: 5807: 5804: 5801: 5795: 5794: 5791: 5788: 5785: 5782: 5779: 5776: 5773: 5770: 5767: 5764: 5761: 5758: 5740: 5739: 5728: 5723: 5719: 5714: 5709: 5704: 5701: 5696: 5692: 5689: 5686: 5683: 5680: 5677: 5674: 5671: 5667: 5663: 5660: 5646: 5645: 5634: 5631: 5628: 5625: 5622: 5619: 5616: 5613: 5610: 5599: 5594: 5590: 5587: 5584: 5578: 5574: 5571: 5554: 5548: 5544: 5543: 5532: 5529: 5526: 5523: 5520: 5517: 5514: 5503: 5498: 5495: 5490: 5486: 5483: 5466: 5461: 5458: 5456: 5453: 5450: 5449: 5446: 5442: 5441: 5438: 5434: 5433: 5430: 5426: 5425: 5422: 5418: 5417: 5412: 5409: 5405: 5404: 5398: 5395: 5391: 5390: 5387: 5383: 5382: 5376: 5373: 5369: 5368: 5365: 5361: 5360: 5357: 5353: 5352: 5346: 5343: 5339: 5338: 5335: 5332: 5328: 5327: 5314: 5311: 5308: 5303: 5299: 5286: 5264: 5261: 5258: 5253: 5249: 5226: 5221: 5217: 5212: 5208: 5205: 5201: 5197: 5193: 5187: 5183: 5179: 5176: 5172: 5166: 5162: 5157: 5153: 5148: 5144: 5140: 5135: 5131: 5127: 5124: 5121: 5118: 5113: 5109: 5105: 5102: 5098: 5094: 5091: 5078: 5077: 5074: 5070: 5069: 5066: 5062: 5061: 5058: 5054: 5053: 5050: 5046: 5045: 5039: 5036: 5032: 5031: 5025: 5022: 5018: 5017: 5014: 5010: 5009: 5003: 5000: 4996: 4995: 4992: 4988: 4987: 4984: 4980: 4979: 4973: 4970: 4966: 4965: 4962: 4959: 4955: 4954: 4941: 4938: 4935: 4930: 4926: 4913: 4905: 4904: 4890: 4887: 4884: 4879: 4875: 4862: 4848: 4836: 4822: 4810: 4796: 4784: 4773: 4770: 4766: 4755: 4752: 4749: 4727: 4715: 4695: 4691: 4678: 4659: 4655: 4629: 4624: 4620: 4615: 4610: 4604: 4600: 4596: 4592: 4588: 4585: 4581: 4577: 4573: 4567: 4563: 4559: 4556: 4552: 4546: 4542: 4537: 4533: 4528: 4524: 4520: 4515: 4511: 4507: 4504: 4501: 4498: 4493: 4489: 4485: 4482: 4478: 4474: 4471: 4458: 4455: 4454: 4453: 4442: 4439: 4434: 4430: 4426: 4423: 4413: 4400: 4396: 4392: 4389: 4386: 4383: 4380: 4377: 4374: 4371: 4368: 4365: 4362: 4359: 4356: 4353: 4343: 4334:(March = 3 in 4321: 4317: 4313: 4310: 4307: 4304: 4301: 4298: 4295: 4292: 4289: 4286: 4283: 4280: 4277: 4274: 4271: 4268: 4265: 4262: 4259: 4256: 4246: 4233: 4229: 4225: 4222: 4219: 4216: 4213: 4210: 4206: 4202: 4199: 4196: 4193: 4190: 4186: 4182: 4179: 4176: 4173: 4170: 4167: 4164: 4161: 4158: 4155: 4152: 4149: 4146: 4143: 4140: 4135: 4131: 4127: 4124: 4121: 4118: 4115: 4112: 4108: 4104: 4101: 4098: 4095: 4092: 4088: 4084: 4081: 4078: 4075: 4072: 4069: 4066: 4063: 4060: 4057: 4054: 4051: 4048: 4045: 4042: 4039: 4004: 4003: 4000: 3997: 3994: 3991: 3988: 3985: 3982: 3979: 3976: 3973: 3970: 3967: 3963: 3962: 3959: 3956: 3953: 3950: 3947: 3944: 3941: 3938: 3935: 3932: 3929: 3926: 3909: 3906: 3903: 3900: 3897: 3894: 3891: 3888: 3876: 3875: 3863: 3853: 3842: 3822: 3819: 3816: 3813: 3810: 3807: 3787: 3777: 3766: 3763: 3759: 3755: 3752: 3749: 3746: 3726: 3716: 3705: 3702: 3692: 3689: 3669: 3649: 3639: 3627: 3617: 3605: 3580: 3576: 3571: 3567: 3564: 3561: 3558: 3555: 3552: 3549: 3545: 3540: 3537: 3532: 3528: 3524: 3519: 3516: 3511: 3507: 3503: 3498: 3494: 3491: 3488: 3485: 3482: 3479: 3473: 3468: 3464: 3461: 3444:Main article: 3441: 3438: 3435: 3434: 3431: 3428: 3425: 3422: 3419: 3416: 3413: 3410: 3407: 3404: 3401: 3398: 3394: 3393: 3390: 3387: 3384: 3381: 3378: 3375: 3372: 3369: 3366: 3363: 3360: 3357: 3340: 3337: 3334: 3331: 3328: 3325: 3313: 3312: 3306: 3291: 3288: 3285: 3282: 3279: 3276: 3262: 3251: 3248: 3244: 3240: 3237: 3234: 3231: 3217: 3201: 3195: 3185: 3184: 3173: 3168: 3164: 3159: 3155: 3152: 3149: 3145: 3140: 3137: 3132: 3128: 3124: 3119: 3116: 3111: 3107: 3104: 3101: 3098: 3095: 3092: 3089: 3086: 3083: 3080: 3077: 3073: 3069: 3066: 3050: 3047: 3027: 3024: 3023: 3022: 3017: 3012: 3003: 3002: 3000:= 3 =Wednesday 2997: 2992: 2979: 2978: 2973: 2968: 2962: 2961: 2956: 2951: 2920: 2919:Worked example 2917: 2894: 2893: 2890: 2887: 2884: 2881: 2878: 2875: 2872: 2869: 2866: 2863: 2859: 2858: 2855: 2852: 2849: 2846: 2843: 2840: 2837: 2834: 2831: 2828: 2825: 2822: 2818: 2817: 2814: 2811: 2808: 2805: 2802: 2799: 2796: 2793: 2790: 2787: 2784: 2781: 2772: 2771: 2770: 2769: 2755: 2744: 2733: 2732: 2731: 2700: 2643:of 1 January. 2639: 2630: 2627: 2624: 2621: 2619: 2614:, date number 2604: 2589: 2586: 2550: 2547: 2530: 2527: 2485: 2484: 2467: 2466: 2425: 2424: 2418: 2417: 2406: 2405: 2398: 2391: 2384: 2377: 2370: 2363: 2356: 2350: 2349: 2346: 2341: 2339: 2334: 2332: 2327: 2325: 2318: 2313: 2310: 2309: 2303: 2301: 2298: 2293: 2290: 2287: 2285: 2282: 2277: 2274: 2271: 2269: 2266: 2261: 2258: 2255: 2253: 2250: 2245: 2240: 2235: 2230: 2225: 2220: 2215: 2213: 2210: 2207: 2204: 2198: 2197: 2195: 2192: 2189: 2187: 2184: 2179: 2176: 2173: 2171: 2168: 2163: 2160: 2157: 2155: 2152: 2147: 2144: 2141: 2138: 2135: 2132: 2129: 2126: 2123: 2118: 2116: 2114: 2111: 2109: 2103: 2102: 2100: 2097: 2092: 2089: 2086: 2084: 2081: 2076: 2073: 2070: 2068: 2065: 2060: 2057: 2054: 2052: 2049: 2044: 2041: 2038: 2035: 2032: 2029: 2026: 2021: 2019: 2014: 2011: 2008: 2002: 2001: 1998: 1995: 1993: 1990: 1985: 1982: 1979: 1977: 1974: 1969: 1966: 1963: 1961: 1958: 1953: 1950: 1947: 1945: 1942: 1939: 1936: 1933: 1930: 1927: 1922: 1919: 1916: 1913: 1911: 1905: 1904: 1901: 1896: 1893: 1890: 1888: 1885: 1880: 1877: 1874: 1872: 1869: 1864: 1861: 1858: 1856: 1853: 1848: 1845: 1842: 1839: 1836: 1833: 1830: 1827: 1822: 1820: 1818: 1815: 1812: 1806: 1805: 1802: 1800: 1797: 1792: 1789: 1786: 1784: 1781: 1776: 1773: 1770: 1768: 1765: 1760: 1757: 1754: 1752: 1749: 1746: 1743: 1740: 1737: 1734: 1731: 1726: 1724: 1721: 1718: 1716: 1710: 1709: 1704: 1701: 1698: 1696: 1693: 1688: 1685: 1682: 1680: 1677: 1672: 1669: 1666: 1664: 1661: 1656: 1653: 1650: 1647: 1644: 1641: 1638: 1635: 1632: 1627: 1622: 1619: 1616: 1611: 1605: 1604: 1591: 1578: 1565: 1552: 1539: 1526: 1513: 1510: 1505: 1499: 1498: 1477: 1472: 1467: 1462: 1457: 1452: 1447: 1442: 1432: 1429: 1420: 1419:The "doomsday" 1417: 1390: 1387: 1366: 1363: 1359: 1358: 1353: 1347: 1342: 1340:the month: (6) 1337: 1326: 1325: 1322: 1319: 1317: 1315: 1312: 1309: 1304: 1301: 1294: 1287: 1280: 1277: 1266: 1265: 1262: 1259: 1256: 1253: 1251: 1249: 1247: 1241: 1235: 1229: 1223: 1217: 1206: 1205: 1202: 1199: 1197: 1195: 1192: 1190: 1188: 1185: 1180: 65 71 1178: 1173: 37 43 1171: 1166: 09 15 1164: 1161: 1150: 1149: 1146: 1143: 1140: 1138: 1136: 1133: 1130: 1123: 1116: 1109: 1102: 1096: 1085: 1084: 1081: 1078: 1076: 1073: 1071: 1069: 1064: 1061: 1055: 1049: 1043: 1040: 1029: 1028: 1025: 1022: 1020: 1018: 1015: 1013: 1011: 1005: 998: 991: 984: 978: 967: 966: 963: 960: 957: 955: 953: 951: 948: 942: 936: 930: 927: 914: 903: 902: 895: 887: 886: 883: 880: 878: 875: 872: 823: 820: 818: 815: 797: 796: 793: 790: 786: 785: 782: 780: 776: 775: 772: 769: 765: 764: 761: 759: 755: 754: 751: 748: 744: 743: 740: 738: 734: 733: 730: 727: 723: 722: 719: 714: 711:Julian century 705: 702: 701: 700: 694: 688: 679: 678: 675: 664: 663: 660: 649: 648: 645: 634: 633: 630: 618: 617: 614: 603: 602: 599: 588: 587: 584: 573: 572: 567: 566:century mod 28 538: 537: 517:embedded lists 511:indiscriminate 502: 500: 493: 487: 484: 481: 480: 477: 474: 471: 468: 467: 464: 461: 459: 456: 455: 452: 449: 447: 444: 443: 440: 437: 435: 431: 430: 427: 424: 421: 418: 417: 414: 411: 409: 406: 405: 402: 399: 397: 393: 392: 387: 384: 381: 356: 353: 350: 349: 346: 342: 341: 338: 334: 333: 330: 326: 325: 322: 321:03 10 17 24 31 318: 317: 314: 313:02 09 16 23 30 310: 309: 306: 305:01 08 15 22 29 302: 301: 298: 297:00 07 14 21 28 294: 293: 288: 276: 273: 255: 254: 251: 248: 245: 242: 239: 236: 233: 230: 227: 226: 206:%NDAY OF WEEK% 202: 199: 196: 193: 190: 187: 184: 181: 178: 177: 175: 172: 169: 166: 163: 160: 157: 154: 151: 150: 132: 129: 126: 123: 120: 117: 114: 111: 105: 104: 101: 98: 95: 92: 89: 86: 83: 80: 40: 37: 15: 13: 10: 9: 6: 4: 3: 2: 9160: 9159: 9148: 9145: 9143: 9140: 9138: 9135: 9133: 9130: 9129: 9127: 9112: 9109: 9107: 9104: 9102: 9099: 9097: 9094: 9092: 9089: 9087: 9084: 9082: 9079: 9075: 9072: 9071: 9070: 9067: 9065: 9062: 9061: 9059: 9055: 9049: 9046: 9044: 9041: 9039: 9036: 9034: 9031: 9029: 9026: 9024: 9021: 9019: 9016: 9014: 9011: 9009: 9006: 9004: 9001: 8999: 8996: 8994: 8991: 8989: 8986: 8984: 8981: 8979: 8976: 8974: 8971: 8969: 8966: 8964: 8961: 8959: 8956: 8955: 8953: 8951: 8950:units of time 8946: 8940: 8939:Sidereal time 8937: 8935: 8932: 8930: 8927: 8925: 8924:Galactic year 8922: 8921: 8919: 8917: 8913: 8907: 8904: 8902: 8899: 8897: 8894: 8893: 8891: 8887: 8881: 8880:Weekday names 8878: 8876: 8873: 8871: 8870:Tropical year 8868: 8866: 8863: 8861: 8858: 8856: 8853: 8851: 8848: 8846: 8843: 8841: 8838: 8836: 8835:Intercalation 8833: 8831: 8828: 8826: 8823: 8821: 8818: 8816: 8813: 8811: 8808: 8806: 8803: 8801:(lunar Hijri) 8800: 8797: 8795: 8792: 8790: 8787: 8785: 8782: 8780: 8777: 8776: 8774: 8772: 8768: 8762: 8759: 8757: 8754: 8752: 8749: 8747: 8744: 8742: 8739: 8737: 8734: 8730: 8727: 8726: 8725: 8722: 8720: 8717: 8715: 8712: 8710: 8707: 8705: 8702: 8700: 8697: 8695: 8692: 8690: 8687: 8685: 8682: 8680: 8677: 8676: 8674: 8672: 8668: 8662: 8659: 8657: 8654: 8652: 8649: 8647: 8644: 8642: 8641:Time dilation 8639: 8637: 8634: 8632: 8629: 8627: 8624: 8622: 8619: 8617: 8614: 8612: 8609: 8607: 8604: 8602: 8599: 8597: 8594: 8593: 8591: 8589: 8585: 8579: 8576: 8574: 8571: 8569: 8566: 8565: 8563: 8559: 8554: 8548: 8538: 8535: 8533: 8530: 8528: 8525: 8523: 8520: 8518: 8515: 8513: 8510: 8508: 8505: 8503: 8500: 8498: 8495: 8493: 8490: 8488: 8485: 8483: 8480: 8478: 8477:24-hour clock 8475: 8473: 8472:12-hour clock 8470: 8468: 8465: 8463: 8460: 8458: 8455: 8453: 8450: 8448: 8445: 8443: 8440: 8438: 8435: 8431: 8428: 8427: 8426: 8423: 8422: 8420: 8416: 8410: 8407: 8405: 8402: 8400: 8397: 8396: 8393: 8389: 8385: 8378: 8373: 8371: 8366: 8364: 8359: 8358: 8355: 8349: 8345: 8342: 8339: 8336: 8333: 8331: 8328: 8326: 8323: 8321: 8318: 8316: 8313: 8311: 8308: 8306: 8303: 8302: 8298: 8291: 8289:9781849058735 8285: 8281: 8276: 8272: 8268: 8264: 8260: 8256: 8252: 8247: 8243: 8241:9780596101534 8237: 8233: 8229: 8224: 8218: 8217: 8212: 8196: 8192: 8186: 8183: 8171: 8167: 8161: 8158: 8154: 8148: 8145: 8142: 8136: 8133: 8130: 8124: 8121: 8117: 8111: 8108: 8104: 8098: 8095: 8091: 8087: 8083: 8082:Lewis Carroll 8077: 8075: 8071: 8066: 8059: 8052: 8049: 8038:on 2013-07-29 8037: 8033: 8029: 8022: 8019: 8014: 8008: 8004: 7997: 7994: 7989: 7983: 7979: 7975: 7968: 7965: 7950: 7943: 7941: 7939: 7937: 7935: 7933: 7929: 7924: 7918: 7914: 7907: 7905: 7901: 7896: 7890: 7886: 7881: 7880: 7871: 7868: 7856: 7852: 7835: 7831: 7830: 7822: 7819: 7807: 7803: 7797: 7794: 7789: 7788: 7783: 7779: 7772: 7770: 7766: 7759: 7749: 7746: 7740: 7737: 7708: 7702: 7699: 7692: 7687: 7683: 7680: 7678: 7675: 7672: 7669: 7667: 7664: 7662: 7661:Doomsday rule 7659: 7658: 7654: 7646:'Sat' 7640:'Fri' 7634:'Thu' 7628:'Wed' 7622:'Tue' 7616:'Mon' 7610:'Sun' 7114: 6793:% common year 6736: 6729: 6727: 6723: 6719: 6712: 6708: 6582: 6579: 6339: 6337: 6333: 6329: 6325: 6315: 6313: 6309: 6305: 6301: 6295: 6168: 6154: 6146: 6141: 6139: 6137: 6133: 6129: 6126: 6121: 6119: 6114: 6108: 6107: 6106: 6104: 6100: 6096: 6091: 6089: 6085: 6080: 6073: 6072: 6071: 6064: 6063: 6062: 6061: 6056: 6053: 6049: 6045: 6042: 6040: 6036: 6031: 6028: 6024: 6023: 6019: 6017: 6012: 6008: 6007:Lewis Carroll 5997: 5987: 5981: 5978:This section 5976: 5972: 5967: 5966: 5953: 5950: 5947: 5944: 5941: 5938: 5935: 5930: 5929: 5925: 5922: 5919: 5916: 5913: 5910: 5907: 5903: 5899: 5898: 5895: 5887: 5884: 5881: 5878: 5873: 5872: 5868: 5865: 5862: 5859: 5855: 5851: 5850: 5847: 5842:The value of 5835: 5832: 5829: 5826: 5823: 5820: 5817: 5814: 5811: 5808: 5805: 5802: 5797: 5796: 5792: 5789: 5786: 5783: 5780: 5777: 5774: 5771: 5768: 5765: 5762: 5759: 5754: 5753: 5750: 5745:The value of 5743: 5726: 5721: 5712: 5707: 5702: 5699: 5694: 5690: 5687: 5684: 5681: 5678: 5675: 5672: 5669: 5665: 5661: 5658: 5651: 5650: 5649: 5632: 5629: 5626: 5623: 5620: 5617: 5614: 5611: 5608: 5597: 5592: 5588: 5585: 5582: 5576: 5572: 5569: 5562: 5561: 5560: 5530: 5527: 5524: 5521: 5518: 5515: 5512: 5501: 5496: 5493: 5488: 5484: 5481: 5474: 5473: 5472: 5454: 5447: 5444: 5443: 5439: 5436: 5435: 5431: 5428: 5427: 5423: 5420: 5419: 5410: 5407: 5406: 5399: 5396: 5393: 5392: 5388: 5385: 5384: 5374: 5371: 5370: 5366: 5363: 5362: 5358: 5355: 5354: 5344: 5341: 5340: 5336: 5333: 5330: 5329: 5309: 5301: 5297: 5282: 5281: 5278: 5259: 5251: 5247: 5224: 5219: 5210: 5206: 5203: 5199: 5195: 5191: 5185: 5181: 5177: 5174: 5170: 5164: 5160: 5155: 5151: 5146: 5142: 5138: 5133: 5129: 5125: 5119: 5111: 5107: 5103: 5100: 5096: 5092: 5089: 5075: 5072: 5071: 5067: 5064: 5063: 5059: 5056: 5055: 5051: 5048: 5047: 5037: 5034: 5033: 5026: 5023: 5020: 5019: 5015: 5012: 5011: 5001: 4998: 4997: 4993: 4990: 4989: 4985: 4982: 4981: 4971: 4968: 4967: 4963: 4960: 4957: 4956: 4936: 4928: 4924: 4909: 4908: 4885: 4877: 4873: 4863: 4846: 4837: 4820: 4811: 4794: 4785: 4768: 4764: 4750: 4747: 4725: 4716: 4713: 4693: 4689: 4679: 4677: 4657: 4653: 4643: 4642: 4641: 4627: 4622: 4613: 4608: 4602: 4594: 4590: 4586: 4583: 4579: 4575: 4571: 4565: 4561: 4557: 4554: 4550: 4544: 4540: 4535: 4531: 4526: 4522: 4518: 4513: 4509: 4505: 4499: 4491: 4487: 4483: 4480: 4476: 4472: 4469: 4440: 4437: 4432: 4424: 4421: 4414: 4398: 4384: 4381: 4378: 4375: 4372: 4369: 4366: 4363: 4360: 4351: 4344: 4319: 4302: 4299: 4296: 4293: 4287: 4284: 4278: 4275: 4272: 4269: 4266: 4254: 4247: 4231: 4220: 4217: 4214: 4208: 4204: 4200: 4194: 4188: 4184: 4180: 4174: 4171: 4168: 4162: 4159: 4156: 4153: 4147: 4144: 4138: 4133: 4122: 4119: 4116: 4110: 4106: 4102: 4096: 4090: 4086: 4082: 4076: 4073: 4070: 4064: 4058: 4055: 4052: 4043: 4040: 4030: 4029: 4028: 4024: 4020: 4001: 3998: 3995: 3992: 3989: 3986: 3983: 3980: 3977: 3974: 3971: 3968: 3965: 3964: 3960: 3957: 3954: 3951: 3948: 3945: 3942: 3939: 3936: 3933: 3930: 3927: 3924: 3923: 3901: 3898: 3895: 3889: 3861: 3854: 3840: 3820: 3817: 3814: 3811: 3808: 3805: 3785: 3778: 3761: 3757: 3753: 3747: 3744: 3724: 3717: 3703: 3700: 3690: 3687: 3667: 3647: 3640: 3625: 3618: 3603: 3596: 3595: 3594: 3578: 3569: 3565: 3562: 3559: 3556: 3553: 3550: 3547: 3543: 3538: 3535: 3530: 3526: 3522: 3517: 3514: 3509: 3505: 3501: 3496: 3489: 3486: 3483: 3477: 3471: 3466: 3462: 3459: 3447: 3432: 3429: 3426: 3423: 3420: 3417: 3414: 3411: 3408: 3405: 3402: 3399: 3396: 3395: 3391: 3388: 3385: 3382: 3379: 3376: 3373: 3370: 3367: 3364: 3361: 3358: 3355: 3354: 3335: 3332: 3329: 3326: 3307: 3289: 3286: 3283: 3280: 3277: 3274: 3263: 3246: 3242: 3238: 3232: 3229: 3218: 3214: 3202: 3196: 3190: 3189: 3188: 3171: 3166: 3157: 3153: 3150: 3147: 3143: 3138: 3135: 3130: 3126: 3122: 3117: 3114: 3109: 3105: 3102: 3099: 3093: 3090: 3087: 3084: 3078: 3075: 3071: 3067: 3064: 3057: 3056: 3055: 3048: 3046: 3043: 3039: 3025: 3020:= 5 = Friday. 3018: 3013: 3008: 3007: 3006: 2998: 2993: 2988: 2987: 2986: 2984: 2974: 2969: 2964: 2963: 2957: 2952: 2947: 2946: 2945: 2941: 2934: 2927: 2918: 2916: 2913: 2909: 2905: 2891: 2888: 2885: 2882: 2879: 2876: 2873: 2870: 2867: 2864: 2861: 2860: 2856: 2853: 2850: 2847: 2844: 2841: 2838: 2835: 2832: 2829: 2821:Common years 2820: 2819: 2815: 2812: 2809: 2806: 2803: 2800: 2797: 2794: 2791: 2788: 2785: 2782: 2779: 2778: 2765: 2761: 2754: 2750: 2745: 2734: 2727: 2723: 2713: 2709: 2701: 2697: 2693: 2683: 2679: 2672: 2668: 2661: 2657: 2653: 2645: 2644: 2638: 2633: 2632: 2631: 2628: 2625: 2622: 2620: 2605: 2602: 2601: 2600: 2597: 2594: 2585: 2582: 2574: 2570: 2556: 2548: 2544: 2528: 2526: 2523: 2520: 2516: 2515: 2511: 2509: 2496: 2483: 2480: 2479: 2478: 2465: 2462: 2461: 2460: 2423: 2420: 2419: 2415: 2414: 2413: 2412: 2399: 2392: 2385: 2378: 2371: 2364: 2357: 2351: 2348:Year mod 100 2342: 2340: 2335: 2333: 2328: 2326: 2319: 2311: 2304: 2302: 2299: 2294: 2291: 2288: 2286: 2283: 2278: 2275: 2272: 2270: 2267: 2262: 2259: 2256: 2254: 2251: 2246: 2241: 2236: 2231: 2226: 2221: 2216: 2214: 2211: 2208: 2205: 2200: 2199: 2196: 2193: 2190: 2188: 2185: 2180: 2177: 2174: 2172: 2169: 2164: 2161: 2158: 2156: 2153: 2148: 2145: 2142: 2139: 2136: 2133: 2130: 2127: 2124: 2119: 2117: 2115: 2112: 2110: 2105: 2104: 2101: 2098: 2093: 2090: 2087: 2085: 2082: 2077: 2074: 2071: 2069: 2066: 2061: 2058: 2055: 2053: 2050: 2045: 2042: 2039: 2036: 2033: 2030: 2027: 2022: 2020: 2015: 2012: 2009: 2004: 2003: 1999: 1996: 1994: 1991: 1986: 1983: 1980: 1978: 1975: 1970: 1967: 1964: 1962: 1959: 1954: 1951: 1948: 1946: 1943: 1940: 1937: 1934: 1931: 1928: 1923: 1920: 1917: 1914: 1912: 1907: 1906: 1902: 1897: 1894: 1891: 1889: 1886: 1881: 1878: 1875: 1873: 1870: 1865: 1862: 1859: 1857: 1854: 1849: 1846: 1843: 1840: 1837: 1834: 1831: 1828: 1823: 1821: 1819: 1816: 1813: 1808: 1807: 1803: 1801: 1798: 1793: 1790: 1787: 1785: 1782: 1777: 1774: 1771: 1769: 1766: 1761: 1758: 1755: 1753: 1750: 1747: 1744: 1741: 1738: 1735: 1732: 1727: 1725: 1722: 1719: 1717: 1712: 1711: 1705: 1702: 1699: 1697: 1694: 1689: 1686: 1683: 1681: 1678: 1673: 1670: 1667: 1665: 1662: 1657: 1654: 1651: 1648: 1645: 1642: 1639: 1636: 1633: 1628: 1623: 1620: 1617: 1612: 1607: 1606: 1595: 1592: 1582: 1579: 1569: 1566: 1556: 1553: 1543: 1540: 1530: 1527: 1517: 1514: 1506: 1501: 1500: 1497: 1473: 1468: 1463: 1458: 1453: 1448: 1443: 1439: 1436: 1430: 1428: 1426: 1425:doomsday rule 1418: 1416: 1414: 1410: 1408: 1404: 1401: 1398: 1396: 1388: 1386: 1378: 1375: 1371: 1364: 1362: 1354: 1348: 1345:the year: (0) 1343: 1338: 1333: 1332: 1331: 1323: 1320: 1318: 1316: 1313: 1310: 1308: 1305: 1302: 1299: 1295: 1292: 1288: 1285: 1281: 1278: 1276: 1272: 1268: 1267: 1263: 1260: 1257: 1254: 1252: 1250: 1248: 1245: 1242: 1239: 1236: 1233: 1230: 1227: 1224: 1218: 1216: 1212: 1208: 1207: 1203: 1200: 1198: 1196: 1193: 1191: 1189: 1187: 93 99 1186: 1183: 1179: 1176: 1172: 1169: 1165: 1162: 1160: 1156: 1152: 1151: 1147: 1144: 1141: 1139: 1137: 1134: 1131: 1128: 1124: 1122:70 81 1121: 1117: 1115:42 53 1114: 1110: 1108:14 25 1107: 1103: 1097: 1095: 1091: 1087: 1086: 1082: 1079: 1077: 1074: 1072: 1070: 1068: 1065: 1063:86 97 1062: 1060: 1056: 1054: 1050: 1048: 1044: 1041: 1039: 1035: 1031: 1030: 1026: 1023: 1021: 1019: 1016: 1014: 1012: 1010: 1006: 1003: 999: 996: 992: 989: 985: 979: 977: 973: 969: 968: 964: 961: 958: 956: 954: 952: 949: 946: 943: 940: 937: 934: 931: 928: 925: 921: 918: 915: 913: 909: 905: 904: 896: 889: 888: 867: 864: 862: 858: 854: 850: 846: 842: 838: 821: 816: 814: 812: 808: 804: 794: 791: 788: 787: 783: 781: 778: 777: 773: 770: 767: 766: 762: 760: 757: 756: 752: 749: 746: 745: 741: 739: 736: 735: 731: 728: 725: 724: 720: 715: 710: 709: 703: 695: 689: 686: 685: 684: 676: 666: 665: 661: 651: 650: 646: 636: 635: 631: 620: 619: 615: 605: 604: 600: 590: 589: 585: 575: 574: 568: 563: 562: 559: 556: 552: 548: 546: 534: 524: 518: 514: 512: 508: 503:This section 501: 492: 491: 485: 478: 475: 472: 470: 469: 465: 462: 460: 458: 457: 453: 450: 448: 446: 445: 441: 438: 436: 433: 432: 428: 425: 422: 420: 419: 415: 412: 410: 408: 407: 403: 400: 398: 395: 394: 388: 385: 382: 379: 378: 375: 372: 368: 366: 362: 354: 347: 344: 343: 339: 336: 335: 331: 328: 327: 323: 320: 319: 315: 312: 311: 307: 304: 303: 299: 296: 295: 289: 284: 283: 280: 274: 272: 270: 265: 261: 252: 249: 246: 243: 240: 237: 234: 231: 229: 228: 224: 216: 212: 207: 203: 200: 197: 194: 191: 188: 185: 182: 180: 179: 176: 173: 170: 167: 164: 161: 158: 155: 153: 152: 148: 140: 133: 130: 127: 124: 121: 118: 115: 112: 110: 107: 106: 102: 99: 96: 93: 90: 87: 84: 81: 78: 77: 74: 66: 59: 54: 50: 46: 38: 36: 34: 30: 26: 22: 9086:Decimal time 8874: 8815:Astronomical 8694:Complication 8689:Atomic clock 8279: 8254: 8250: 8227: 8199:. Retrieved 8194: 8185: 8174:. Retrieved 8169: 8160: 8147: 8135: 8123: 8115: 8110: 8102: 8097: 8090:Mapping Time 8089: 8085: 8064: 8051: 8040:. Retrieved 8036:the original 8031: 8021: 8002: 7996: 7973: 7967: 7956:. Retrieved 7912: 7878: 7870: 7863:NWDOSTIP.TXT 7859:MPDOSTIP.ZIP 7855:OpenDOS 7.01 7851:Novell DOS 7 7847:NWDOSTIP.TXT 7838:. Retrieved 7828: 7821: 7810:. Retrieved 7796: 7786: 7782:Conn, Rex C. 7748: 7739: 7706: 7701: 7510:month_offset 7396:month_offset 7309:month_offset 7297:is_leap_year 7144:is_leap_year 7112: 6913:month_offset 6880:month_offset 6784:month_offset 6730: 6704: 6580: 6569: 6321: 6296: 6284: 6150: 6122: 6115: 6112: 6098: 6094: 6092: 6081: 6077: 6068: 6059: 6058: 6054: 6050: 6046: 6043: 6032: 6029: 6026: 6021: 6020: 6004: 5991: 5979: 5901: 5893: 5853: 5841: 5744: 5741: 5647: 5545: 5463: 5081: 4711: 4675: 4460: 4025:= 1 = Sunday 4022: 4018: 4007: 3449: 3212: 3186: 3052: 3044: 3042:expression. 3040: 3029: 3004: 2980: 2939: 2932: 2925: 2922: 2911: 2907: 2903: 2902:(D + m + 5(( 2897: 2763: 2759: 2752: 2748: 2725: 2721: 2711: 2707: 2695: 2691: 2681: 2677: 2670: 2666: 2659: 2655: 2651: 2636: 2626:Day of year. 2606:Year number 2598: 2591: 2583: 2572: 2568: 2552: 2524: 2521: 2517: 2513: 2512: 2499: 2497: 2486: 2481: 2468: 2463: 2426: 2421: 2410: 2409: 1593: 1580: 1567: 1554: 1541: 1528: 1515: 1495: 1434: 1422: 1412: 1411: 1406: 1405: 1402: 1399: 1393:To find the 1392: 1379: 1376: 1372: 1368: 1360: 1329: 1306: 1297: 1290: 1283: 1274: 1270: 1243: 1237: 1231: 1225: 1214: 1210: 1181: 1174: 1167: 1158: 1154: 1126: 1119: 1112: 1105: 1093: 1089: 1066: 1058: 1052: 1046: 1037: 1033: 1008: 1001: 994: 987: 975: 971: 944: 938: 932: 923: 919: 916: 911: 907: 860: 856: 852: 848: 844: 840: 836: 825: 800: 682: 557: 553: 549: 541: 528: 521:Please help 505:may contain 504: 380:Common years 373: 369: 358: 278: 266: 262: 258: 71:18 mod 7 = 4 64: 57: 48: 42: 20: 18: 9096:System time 9091:Metric time 8810:Solar Hijri 8736:Water clock 8719:Radio clock 8651:Time domain 8631:Proper time 8517:Leap second 8399:Chronometry 7778:Rawson, Tom 7237:day_of_week 6886:% leap year 6711:portability 6570:It returns 4016:), that is 2862:Leap years 2684: % 100 2439:and column 851:00 years). 831:" through " 564:Year of the 513:information 361:common year 345:06 13 20 27 337:05 12 19 26 329:04 11 18 25 143:DAYOFWEEK() 9126:Categories 9111:Timekeeper 9064:Chronology 9048:Millennium 8934:Precession 8840:Julian day 8661:T-symmetry 8522:Solar time 8492:Civil time 8201:2020-06-21 8176:2020-06-21 8042:2012-12-19 7958:2012-12-23 7840:2014-08-06 7812:2015-08-28 7688:References 7666:Julian day 6853:&& 6826:&& 6574:= Sunday, 6290:= Sunday, 6153:C language 6022:Algorithm: 5994:March 2021 2928:− 1 = 1999 2766:) % 7 1491:leap years 531:March 2021 507:unverified 383:Leap years 88:Wednesday 25:algorithms 9008:Fortnight 8855:Lunisolar 8845:Leap year 8779:Gregorian 8729:stopwatch 8704:Hourglass 8684:Astrarium 8601:Spacetime 8532:Time zone 8409:Metrology 8388:standards 7760:Citations 7132:remainder 6722:K&R C 6343:dayofweek 6324:K&R C 6125:Old Style 6084:Old Style 6060:Examples: 6039:New Style 6035:Old Style 6011:Old Style 5986:talk page 5624:− 5618:− 5586:− 5522:− 5469:≥ 3 5204:− 5178:− 5139:− 5104:− 4772:⌋ 4754:⌊ 4584:− 4558:− 4519:− 4484:− 4388:⌋ 4373:− 4358:⌊ 4309:⌋ 4300:− 4288:− 4261:⌊ 4215:− 4212:⌋ 4198:⌊ 4192:⌋ 4178:⌊ 4166:⌋ 4160:− 4151:⌊ 4139:− 4117:− 4114:⌋ 4100:⌊ 4094:⌋ 4080:⌊ 4068:⌋ 4047:⌊ 3908:⌋ 3887:⌊ 3815:− 3765:⌋ 3751:⌊ 3701:− 3560:− 3463:≡ 3339:⌋ 3333:− 3324:⌊ 3284:− 3250:⌋ 3236:⌊ 3148:− 3097:⌋ 3091:− 3082:⌊ 2629:Procedure 2411:Examples: 2315:Gregorian 1507:Gregorian 898:Gregorian 386:All years 365:leap year 287:the month 97:Saturday 91:Thursday 79:Standard 9069:Duration 9043:Saeculum 9023:Olympiad 8865:Solstice 8794:Holocene 8771:Calendar 8671:Horology 8462:ISO 8601 8457:ISO 31-1 8344:Archived 8271:17002528 7834:Archived 7806:Archived 7655:See also 7030:% Julian 6892:% Gregor 6330:such as 5708:⌋ 5695:⌊ 5598:⌋ 5577:⌊ 5502:⌋ 5489:⌊ 5200:⌋ 5156:⌊ 4580:⌋ 4536:⌊ 3544:⌋ 3531:⌊ 3523:⌋ 3510:⌊ 3502:⌋ 3472:⌊ 3144:⌋ 3131:⌊ 3123:⌋ 3110:⌊ 2935:− 1 = 99 2720:(6 + 5(( 2706:(6 + 5(( 2690:(1 + 5(( 2650:(1 + 5(( 2555:Rata Die 2549:Rata Die 2355:century 2317:century 476:Apr July 463:Sept Dec 147:HP Prime 109:ISO 8601 85:Tuesday 45:ISO 8601 39:Concepts 9038:Century 9028:Lustrum 8958:Instant 8830:Equinox 8799:Islamic 8741:Sundial 8606:Chronon 8232:164–169 7731: 7727: 7721: 7717: 6733:31*m/12 6312:opcodes 6151:In the 5325:⁠ 5289:⁠ 5275:⁠ 5239:⁠ 4952:⁠ 4916:⁠ 4901:⁠ 4865:⁠ 4859:⁠ 4839:⁠ 4833:⁠ 4813:⁠ 4807:⁠ 4787:⁠ 4738:⁠ 4718:⁠ 4708:⁠ 4681:⁠ 4672:⁠ 4645:⁠ 3966:Offset 3925:Months 3397:Offset 3356:Months 2780:Months 2746:Return 2575:) mod 7 1509:century 1504:century 900:(r ÷ 4) 893:(r ÷ 7) 718:mod 400 713:mod 700 683:Notes: 439:Mar Nov 211:NetWare 100:Sunday 94:Friday 82:Monday 9033:Decade 8988:Moment 8983:Minute 8978:Second 8948:Other 8805:Julian 8784:Hebrew 8430:offset 8286: 8269: 8238: 8197:. 1994 8155:(2002) 8086:Nature 8032:Merlyn 8009: 7984: 7919: 7891: 7865:file.) 7710: 7604:return 7174:return 7129:import 6726:ANSI C 6631:return 6496:return 6373:static 6300:abacus 5337:C day 5237:where 4964:A day 4676:units) 4640:where 3593:where 3187:where 2623:Output 2603:Inputs 2353:Julian 1502:Julian 1296:61 67 1289:33 39 1282:05 11 1219:17 21 1098:18 22 1007:85 91 1000:57 63 993:29 35 986:01 07 980:15 19 891:Julian 877:Month 667:05 11 640:09 15 610:13 19 591:01 07 285:Day of 215:DR-DOS 68: 61: 9074:music 9013:Month 8973:Jiffy 8968:Shake 8963:Flick 8860:Solar 8850:Lunar 8825:Epact 8789:Hindu 8724:Watch 8679:Clock 8141:news: 8061:(PDF) 7952:(PDF) 7845:(NB. 7725:again 7693:Notes 7279:-> 7162:-> 7126:numpy 6707:ASCII 6302:. On 6147:Keith 5904:mod 7 5856:mod 4 5557:= 1,2 2673:\ 100 2206:19 23 2202:18 25 2107:17 24 2010:18 22 2006:16 23 1909:15 22 1814:17 21 1810:14 21 1714:13 20 1614:16 20 1609:12 19 1512:Date 1441:Index 1303:89 95 659:21 27 583:17 23 9018:Year 9003:Week 8993:Hour 8447:DUT1 8386:and 8284:ISBN 8267:PMID 8236:ISBN 8007:ISBN 7982:ISBN 7917:ISBN 7889:ISBN 7853:and 7715:18th 7707:i.e. 7390:else 7216:year 7198:year 7177:year 7165:bool 7150:year 7123:from 6754:2022 6622:< 6469:< 6332:APL2 6184:< 6163:and 5403:− 2 5381:− 4 5351:+ 4 5044:− 2 5030:+ 3 5008:+ 1 4978:+ 2 4759:year 4712:tens 3961:Feb 3696:year 3392:Feb 3005:and 2985:are 2942:= 19 2937:and 2816:Dec 2553:The 1489:for 1485:and 1481:Use 859:and 795:Sat 784:Fri 774:Thu 763:Wed 753:Tue 742:Mon 732:Sun 721:Day 697:Blue 223:4DOS 139:4DOS 65:i.e. 58:i.e. 19:The 8998:Day 8259:doi 7589:400 7577:rem 7561:100 7549:rem 7522:rem 7498:rem 7492:int 7282:str 7273:int 7261:int 7249:int 7234:def 7222:400 7204:100 7192:and 7156:int 7141:def 7138:rem 7057:rem 7039:rem 7018:400 7000:rem 6985:100 6967:rem 6934:rem 6901:rem 6889:end 6868:400 6856:mod 6841:100 6829:mod 6802:mod 6715:int 6673:400 6661:100 6586:dow 6538:400 6526:100 6376:int 6310:or 6271:400 6259:100 5793:12 5718:mod 5627:100 5604:and 5593:100 5546:so 5525:100 5508:and 5497:100 5448:12 5440:10 5367:11 5216:mod 5076:10 5016:12 4769:100 4619:mod 4599:mod 4429:mod 4395:mod 4385:0.2 4376:2.6 4370:7.8 4361:2.6 4316:mod 4303:0.2 4294:2.6 4285:2.6 4228:mod 4163:0.2 4154:2.6 4130:mod 4065:2.6 4002:39 3958:Jan 3955:Dec 3952:Nov 3949:Oct 3946:Sep 3943:Aug 3940:Jul 3937:Jun 3934:May 3931:Apr 3928:Mar 3890:2.6 3818:100 3762:100 3575:mod 3433:31 3389:Jan 3386:Dec 3383:Nov 3380:Oct 3377:Sep 3374:Aug 3371:Jul 3368:Jun 3365:May 3362:Apr 3359:Mar 3336:0.2 3327:2.6 3287:100 3247:100 3163:mod 3094:0.2 3085:2.6 2959:= 6 2813:Nov 2810:Oct 2807:Sep 2804:Aug 2801:Jul 2798:Jun 2795:May 2792:Apr 2789:Mar 2786:Feb 2783:Jan 2751:= ( 2716:or 2345:19 2212:Oct 2209:Jan 2113:May 2017:Feb 2013:Aug 2000:99 1921:Nov 1918:Mar 1915:Feb 1903:98 1817:Jun 1804:97 1723:Dec 1720:Sep 1625:Jan 1621:Jul 1618:Apr 1487:Feb 1483:Jan 1474:Sun 1469:Sat 1464:Fri 1459:Thu 1454:Wed 1449:Tue 1444:Mon 1314:Jul 1311:Apr 1307:Jan 1258:Dec 1255:Sep 1194:Jun 1142:Nov 1135:Mar 1132:Feb 1125:87 1118:59 1111:31 1104:03 1075:Aug 1067:Feb 1017:May 959:Oct 950:Jan 881:DoW 861:Feb 857:Jan 691:Red 671:22 655:10 625:14 621:03 606:02 595:18 579:06 515:in 509:or 473:Jan 451:Jun 434:Feb 426:Aug 423:Feb 413:May 401:Oct 396:Jan 217:); 141:); 73:). 9128:: 8442:ΔT 8437:UT 8265:. 8255:32 8253:. 8234:. 8226:. 8193:. 8168:. 8073:^ 8063:. 8030:. 7931:^ 7903:^ 7887:. 7883:. 7780:; 7768:^ 7601:)) 7486:wd 7480:-= 7306:): 7294:if 7225:== 7213:or 7207:!= 7186:== 7135:as 7102:), 7093:y1 7063:y1 7021:), 7006:y1 6973:y1 6940:y1 6919:m1 6907:d1 6883:=; 6874:== 6862:y1 6847:== 6835:y1 6820:== 6808:y1 6799:if 6772:d1 6760:m1 6748:y1 6728:. 6616:-= 6484:-= 6460:if 6457:}; 6211:23 6205:-2 6196:-- 6178:+= 6159:, 6138:. 6120:. 6018:. 5954:6 5926:6 5888:1 5869:3 5836:4 5790:11 5787:10 5559:, 5471:, 5445:12 5437:10 5432:8 5424:6 5389:7 5386:11 5359:9 5073:12 5068:8 5065:10 5060:6 5052:4 5024:12 5013:11 4994:9 4986:7 4027:. 4021:− 3999:36 3996:33 3993:31 3990:28 3987:26 3984:23 3981:20 3978:18 3975:15 3972:13 3969:10 3920:) 3478:13 3451:is 3430:28 3427:25 3424:23 3421:20 3418:18 3415:15 3412:12 3409:10 3351:) 3038:. 2930:, 2892:6 2857:5 2762:+ 2758:+ 2680:= 2675:, 2669:= 2581:. 2571:+ 2510:. 2506:20 2493:20 2403:18 2401:25 2396:17 2394:24 2389:16 2387:23 2382:15 2380:22 2375:14 2373:21 2368:13 2366:20 2361:12 2359:19 2343:23 2338:18 2336:22 2331:17 2329:21 2323:16 2321:20 2308:0 2300:90 2296:84 2292:79 2289:73 2284:62 2280:56 2276:51 2273:45 2268:34 2264:28 2260:23 2257:17 2252:06 2194:95 2191:89 2186:78 2182:72 2178:67 2175:61 2170:50 2166:44 2162:39 2159:33 2154:22 2150:16 2146:11 2143:05 2099:94 2095:88 2091:83 2088:77 2083:66 2079:60 2075:55 2072:49 2067:38 2063:32 2059:27 2056:21 2051:10 2047:04 1997:93 1992:82 1988:76 1984:71 1981:65 1976:54 1972:48 1968:43 1965:37 1960:26 1956:20 1952:15 1949:09 1899:92 1895:87 1892:81 1887:70 1883:64 1879:59 1876:53 1871:42 1867:36 1863:31 1860:25 1855:14 1851:08 1847:03 1799:86 1795:80 1791:75 1788:69 1783:58 1779:52 1775:47 1772:41 1767:30 1763:24 1759:19 1756:13 1751:02 1707:96 1703:91 1700:85 1695:74 1691:68 1687:63 1684:57 1679:46 1675:40 1671:35 1668:29 1663:18 1659:12 1655:07 1652:01 1601:28 1599:21 1597:14 1594:07 1588:27 1586:20 1584:13 1581:06 1575:26 1573:19 1571:12 1568:05 1562:25 1560:18 1558:11 1555:04 1551:31 1549:24 1547:17 1545:10 1542:03 1538:30 1536:23 1534:16 1532:09 1529:02 1525:29 1523:22 1521:15 1519:08 1516:01 1324:6 1300:78 1298:72 1293:50 1291:44 1286:22 1284:16 1275:13 1271:r6 1264:5 1261:Th 1246:94 1244:88 1238:60 1232:32 1226:04 1221:r1 1215:14 1211:r0 1204:4 1184:82 1182:76 1177:54 1175:48 1170:26 1168:20 1159:15 1155:r1 1148:3 1145:Tu 1129:98 1127:92 1120:64 1113:36 1106:08 1100:r2 1094:16 1090:r2 1083:2 1059:80 1053:52 1047:24 1038:17 1034:r3 1027:1 1024:Su 1009:96 1004:74 1002:68 997:46 995:40 990:18 988:12 982:r3 976:18 972:r4 965:0 962:Sa 947:90 945:84 939:56 933:28 924:r0 920:20 917:16 912:19 908:r5 885:# 853:20 845:is 841:19 837:04 833:r6 829:r0 677:6 673:00 669:16 662:5 657:16 653:04 647:4 644:26 642:20 638:04 632:3 629:25 627:20 623:08 616:2 612:24 608:08 601:1 597:24 593:12 586:0 581:12 577:00 479:6 466:5 454:4 442:3 429:2 416:1 404:0 348:6 340:5 332:4 324:3 316:2 308:1 300:0 250:0 247:6 244:5 241:4 238:3 235:2 232:1 225:) 213:, 201:1 198:7 195:6 192:5 189:4 186:3 183:2 174:6 171:5 168:4 165:3 162:2 159:1 156:0 149:) 131:7 128:6 125:5 122:4 119:3 116:2 113:1 8376:e 8369:t 8362:v 8292:. 8273:. 8261:: 8244:. 8204:. 8179:. 8045:. 8015:. 7990:. 7961:. 7925:. 7897:. 7843:. 7815:. 7790:. 7729:— 7719:— 7649:) 7643:, 7637:, 7631:, 7625:, 7619:, 7613:, 7607:( 7598:7 7595:, 7592:) 7586:, 7583:y 7580:( 7574:* 7571:6 7568:+ 7564:) 7558:, 7555:y 7552:( 7546:* 7543:4 7540:+ 7537:) 7534:4 7531:, 7528:y 7525:( 7519:* 7516:5 7513:+ 7507:+ 7504:d 7501:( 7495:( 7489:= 7483:1 7477:y 7474:) 7471:5 7468:, 7465:3 7462:, 7459:0 7456:, 7453:5 7450:, 7447:2 7444:, 7441:6 7438:, 7435:4 7432:, 7429:1 7426:, 7423:6 7420:, 7417:3 7414:, 7411:3 7408:, 7405:0 7402:( 7399:= 7393:: 7387:) 7384:6 7381:, 7378:4 7375:, 7372:1 7369:, 7366:6 7363:, 7360:3 7357:, 7354:0 7351:, 7348:5 7345:, 7342:2 7339:, 7336:0 7333:, 7330:4 7327:, 7324:3 7321:, 7318:0 7315:( 7312:= 7303:y 7300:( 7285:: 7276:) 7270:: 7267:d 7264:, 7258:: 7255:m 7252:, 7246:: 7243:y 7240:( 7231:) 7228:0 7219:% 7210:0 7201:% 7195:( 7189:0 7183:4 7180:% 7168:: 7159:) 7153:: 7147:( 7108:) 7105:7 7099:1 7096:- 7090:( 7087:* 7084:3 7081:+ 7078:) 7075:4 7072:, 7069:1 7066:- 7060:( 7054:* 7051:5 7048:+ 7045:6 7042:( 7036:= 7027:) 7024:7 7015:, 7012:1 7009:- 7003:( 6997:* 6994:6 6991:+ 6988:) 6982:, 6979:1 6976:- 6970:( 6964:* 6961:4 6958:+ 6955:) 6952:4 6949:, 6946:1 6943:- 6937:( 6931:* 6928:5 6925:+ 6922:) 6916:( 6910:+ 6904:( 6898:= 6877:0 6871:) 6865:, 6859:( 6850:0 6844:) 6838:, 6832:( 6823:0 6817:) 6814:4 6811:, 6805:( 6790:; 6787:= 6781:; 6778:1 6775:= 6769:; 6766:1 6763:= 6757:; 6751:= 6700:} 6697:; 6694:7 6691:% 6688:) 6685:d 6682:+ 6676:+ 6670:/ 6667:y 6664:+ 6658:/ 6655:y 6652:- 6649:4 6646:/ 6643:y 6640:+ 6637:y 6634:( 6628:; 6625:3 6619:m 6613:y 6610:{ 6607:) 6604:y 6601:, 6598:d 6595:, 6592:m 6589:( 6576:1 6572:0 6565:} 6562:; 6559:7 6556:% 6553:) 6550:d 6547:+ 6544:t 6541:+ 6535:/ 6532:y 6529:+ 6523:/ 6520:y 6517:- 6514:4 6511:/ 6508:y 6505:+ 6502:y 6499:( 6493:} 6490:; 6487:1 6481:y 6478:{ 6475:) 6472:3 6466:m 6463:( 6454:4 6451:, 6448:2 6445:, 6442:6 6439:, 6436:4 6433:, 6430:1 6427:, 6424:5 6421:, 6418:3 6415:, 6412:0 6409:, 6406:5 6403:, 6400:2 6397:, 6394:3 6391:, 6388:0 6385:{ 6382:= 6379:t 6370:{ 6364:) 6361:d 6358:, 6355:m 6352:, 6349:y 6346:( 6292:1 6288:0 6280:7 6277:% 6274:) 6268:/ 6265:y 6262:+ 6256:/ 6253:y 6250:- 6247:4 6244:/ 6241:y 6238:+ 6235:4 6232:+ 6229:d 6226:+ 6223:9 6220:/ 6217:m 6214:* 6208:, 6202:y 6199:: 6193:y 6190:? 6187:3 6181:m 6175:d 6172:( 6165:d 6161:m 6157:y 5996:) 5992:( 5988:. 5951:0 5948:1 5945:2 5942:3 5939:4 5936:5 5932:f 5923:5 5920:4 5917:3 5914:2 5911:1 5908:0 5902:c 5885:3 5882:5 5879:0 5875:f 5866:2 5863:1 5860:0 5854:c 5844:f 5833:2 5830:6 5827:4 5824:1 5821:5 5818:3 5815:0 5812:5 5809:2 5806:3 5803:0 5799:e 5784:9 5781:8 5778:7 5775:6 5772:5 5769:4 5766:3 5763:2 5760:1 5756:m 5747:e 5727:, 5722:7 5713:) 5703:4 5700:g 5691:+ 5688:g 5685:+ 5682:f 5679:+ 5676:e 5673:+ 5670:d 5666:( 5662:= 5659:w 5633:. 5630:c 5621:1 5615:y 5612:= 5609:g 5589:1 5583:y 5573:= 5570:c 5555:m 5549:g 5531:, 5528:c 5519:y 5516:= 5513:g 5494:y 5485:= 5482:c 5467:m 5429:8 5421:6 5415:m 5411:4 5408:4 5401:m 5397:0 5394:2 5379:m 5375:5 5372:9 5364:7 5356:5 5349:m 5345:7 5342:3 5334:3 5331:1 5313:) 5310:m 5307:( 5302:0 5298:d 5284:m 5263:) 5260:m 5257:( 5252:0 5248:d 5225:, 5220:7 5211:) 5207:c 5196:2 5192:/ 5186:1 5182:y 5175:4 5171:/ 5165:0 5161:y 5152:+ 5147:1 5143:y 5134:0 5130:y 5126:+ 5123:) 5120:m 5117:( 5112:0 5108:d 5101:d 5097:( 5093:= 5090:w 5057:8 5049:6 5042:m 5038:2 5035:4 5028:m 5021:2 5006:m 5002:3 4999:9 4991:7 4983:5 4976:m 4972:5 4969:3 4961:1 4958:1 4940:) 4937:m 4934:( 4929:0 4925:d 4911:m 4889:) 4886:m 4883:( 4878:0 4874:d 4847:w 4821:m 4795:d 4765:/ 4751:= 4748:c 4726:c 4714:) 4694:1 4690:y 4658:0 4654:y 4628:, 4623:7 4614:) 4609:) 4603:4 4595:c 4591:( 4587:2 4576:2 4572:/ 4566:1 4562:y 4555:4 4551:/ 4545:0 4541:y 4532:+ 4527:1 4523:y 4514:0 4510:y 4506:+ 4503:) 4500:m 4497:( 4492:0 4488:d 4481:d 4477:( 4473:= 4470:w 4441:1 4438:= 4433:7 4425:8 4422:= 4399:7 4391:) 4382:+ 4379:m 4367:+ 4364:m 4355:( 4352:= 4342:) 4340:G 4336:Z 4320:7 4312:) 4306:) 4297:m 4291:( 4282:) 4279:1 4276:+ 4273:2 4270:+ 4267:m 4264:( 4258:( 4255:= 4232:7 4224:) 4221:c 4218:2 4209:4 4205:/ 4201:c 4195:+ 4189:4 4185:/ 4181:y 4175:+ 4172:y 4169:+ 4157:m 4148:+ 4145:d 4142:( 4134:7 4126:) 4123:c 4120:2 4111:4 4107:/ 4103:c 4097:+ 4091:4 4087:/ 4083:y 4077:+ 4074:y 4071:+ 4062:) 4059:1 4056:+ 4053:m 4050:( 4044:+ 4041:d 4038:( 4023:G 4019:Z 4014:G 4010:Z 3905:) 3902:1 3899:+ 3896:m 3893:( 3862:w 3841:Y 3821:c 3812:Y 3809:= 3806:y 3786:y 3758:/ 3754:Y 3748:= 3745:c 3725:c 3704:1 3691:= 3688:Y 3668:m 3648:Y 3626:m 3604:d 3579:7 3570:) 3566:c 3563:2 3557:y 3554:+ 3551:d 3548:+ 3539:4 3536:c 3527:+ 3518:4 3515:y 3506:+ 3497:5 3493:) 3490:1 3487:+ 3484:m 3481:( 3467:( 3460:w 3406:7 3403:5 3400:2 3330:m 3309:w 3304:Y 3290:c 3281:Y 3278:= 3275:y 3265:y 3243:/ 3239:Y 3233:= 3230:c 3220:c 3213:Y 3208:m 3204:Y 3198:m 3192:d 3172:, 3167:7 3158:) 3154:c 3151:2 3139:4 3136:c 3127:+ 3118:4 3115:y 3106:+ 3103:y 3100:+ 3088:m 3079:+ 3076:d 3072:( 3068:= 3065:w 2940:C 2933:Y 2926:A 2912:A 2908:A 2904:A 2889:4 2886:1 2883:6 2880:3 2877:0 2874:5 2871:2 2868:0 2865:4 2854:3 2851:0 2848:5 2845:2 2842:6 2839:4 2836:1 2833:6 2830:3 2827:3 2824:0 2768:. 2764:D 2760:m 2756:1 2753:d 2749:d 2743:. 2741:M 2737:m 2730:. 2726:Y 2722:Y 2712:A 2708:A 2696:Y 2692:Y 2682:A 2678:Y 2671:A 2667:C 2660:A 2656:A 2652:A 2640:1 2637:d 2618:. 2616:D 2612:M 2608:A 2579:D 2573:d 2569:D 2567:( 2563:D 2559:d 2545:. 2539:% 2535:\ 2502:0 2489:0 2475:G 2471:G 2457:G 2453:C 2449:G 2445:D 2441:E 2437:F 2433:E 2429:F 2306:0 2248:G 2243:F 2238:E 2233:D 2228:C 2223:B 2218:A 2140:A 2137:G 2134:F 2131:E 2128:D 2125:C 2121:B 2043:B 2040:A 2037:G 2034:F 2031:E 2028:D 2024:C 1944:C 1941:B 1938:A 1935:G 1932:F 1929:E 1925:D 1844:D 1841:C 1838:B 1835:A 1832:G 1829:F 1825:E 1748:E 1745:D 1742:C 1739:B 1736:A 1733:G 1729:F 1649:F 1646:E 1643:D 1640:C 1637:B 1634:A 1630:G 1476:G 1471:F 1466:E 1461:D 1456:C 1451:B 1446:A 1352:. 1321:F 1279:— 1201:W 1163:— 1080:M 1042:— 849:x 827:" 570:y 533:) 529:( 519:. 390:m 291:d 221:( 209:( 145:( 137:( 56:( 49:0

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