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Leap Year Starting On Saturday

Leap year starting on Saturday

This is the calendar for any leap year starting on Saturday (dominical letter BA), e.g. 2000. Previous year | Next year

Millennium	Century	Year
2nd Millennium:	19th century:	1820	1848	1876
2nd Millennium:	20th century:	1916	1944	1972
3rd Millennium:	21st century:	2000	2028	2056	2084
3rd Millennium:	22nd century:	2124	2152	2180

Category:Weeks ko:토요일로 시작하는 윤년 th:ปีอธิกสุรทินที่วันแรกเป็นวันเสาร์

Calendar

A calendar is a system for naming periods of time, typically days. These names are known as calendar dates. The dates may be based on the perceived motion of astronomical objects. A calendar is also a physical device (often paper) that illustrates the system (for example, a desktop calendar) — this is the most common usage of the word. As a subset, 'calendar' is also used to denote a list of particular set of planned events (for example, court calendar).

Calendar systems

Calendars in use on Earth are lunar, solar, lunisolar or arbitrary. A lunar calendar is synchronized to the motion of the Moon (moon phases); an example is the Islamic calendar. A solar calendar is based on perceived seasonal changes synchronized to the apparent motion of the Sun; an example is the Persian calendar. A lunisolar calendar is synchronized both to the motion of the Moon and to the apparent motion of the Sun; an example is the Jewish calendar. An arbitrary calendar is not synchronized to either the Moon or the Sun; examples are the week and the Julian day used by astronomers. There are some calendars that appear to be synchronized to the motion of Venus, such as some of the ancient Egyptian calendars; synchronization to Venus appears to occur primarily in civilizations near the Equator.

Solar calendars

Main article: Solar calendar

Days used by solar calendars

Solar calendars assign a date to each solar day. A day may consist of the period between sunrise and sunset, with a following period of night, or it may be a period between successive events such as two sunsets. The length of the interval between two such successive events may be allowed to vary slightly during the year, or it may be averaged into a mean solar day. Other types of calendar may also use a solar day.

Future reform

There have been a number of proposals for reform of the calendar, such as the World calendar and International Fixed Calendar. The United Nations considered adopting such a reformed calendar for a while in the 1950s, but these proposals have lost most of their popularity.

Lunar calendars

Main article: Lunar calendar Not all calendars use the solar year as a unit. A lunar calendar is one in which days are numbered within each moon phase cycle. Because the length of the lunar month is not an even fraction of the length of the tropical year, a purely lunar calendar quickly drifts against the seasons. It does, however, stay constant with respect to other phenomena, notably tides. A lunisolar calendar is a lunar calendar that compensates by adding an extra month as needed to realign the months with the seasons. An example is the Jewish calendar which uses a 19 year cycle. Lunar calendars are believed to be the oldest calendars invented by mankind. Cro-Magnon people are claimed to have invented one around 32,000 BC.

Fiscal calendars

Main article: Fiscal calendar A fiscal calendar (such as a 5/4/4 calendar) fixes each month at a specific number of weeks to facilitate comparisons from month to month and year to year. January always has exactly 5 weeks (Sunday through Saturday), February has 4 weeks, March has 4 weeks, etc. Note that this calendar will normally need to add a 53rd week to every 5th or 6th year, which might be added to December or might not be, depending on how the organization uses those dates. There exists an international standard way to do this (the ISO week). The ISO week runs Monday through Sunday and Week 1 is always the week that contains January 4 Gregorian.

Calendar subdivisions

Nearly all calendar systems group consecutive days into "months" and also into "years". In a solar calendar a year approximates Earth's tropical year (that is, the time it takes for a complete cycle of seasons), traditionally used to facilitate the planning of agricultural activities. In a lunar calendar, the month approximates the cycle of the moon phase. Consecutive days may be grouped into other periods such as the week. Because the number of days in the tropical year is not a whole number, a solar calendar must have a different number of days in different years. This may be done with leap years. The same applies to months in a lunar calendar and also the number of months in a year in a lunisolar calendar. This is generally known as intercalation. Even if a calendar is solar, but not lunar, the year cannot be divided entirely into months that never vary in length. Cultures may define other units of time, such as the week, for the purpose of scheduling regular activities that do not easily coincide with months or years.

Other calendar types

Complete and incomplete calendars

Calendars may be either complete or incomplete. Complete calendars provide a way of naming each consecutive day, while incomplete calendars do not. The early Roman calendar, which had no way of designating the days of the winter months other than to lump them together as "winter", is an example of an incomplete calendar, while the Gregorian calendar is an example of a complete calendar.

Pragmatic, theoretical and mixed calendars

Calendars may be pragmatic, theoretical, or mixed. A pragmatic calendar is one that is based on observation; examples are the religious Islamic calendar and the old religious Jewish calendar in the time of the Second Temple. Such a calendar is also referred to as an observation-based or astronomical calendar. The advantage of such a calendar is that it is perfectly and perpetually accurate. The disadvantage is that working out when a particular date would occur is difficult. A theoretical calendar is one that is based on a strict set of rules; an example is the current Jewish calendar. Such a calendar is also referred to a rule-based or arithmetical calendar. The advantage of such a calendar is the ease of working out when a particular date occurs. The disadvantage is imperfect accuracy. Furthermore if the calendar is very accurate, its accuracy perishes slowly over time owing to changes in Earth's rotation. This limits the lifetime of an accurate theoretical calendar to a few thousand years. After then, the rules would need to be modified from observations made since the invention of the calendar, resulting in a mixed calendar. A mixed calendar combines the features of both pragmatic and theoretical calendars. Mixed calendars usually begin as theoretical calendars, but are adjusted pragmatically when some type of asynchrony becomes apparent; the shift from the Julian to the Gregorian calendar is such an example. The Gregorian calendar, as a final example, is complete, solar, and mixed.

Uses

The primary practical use of a calendar is to identify days: to be informed about and/or to agree on a future event and to record an event that has happened. Days may be significant for civil, religious or social reasons. For example, a calendar provides a way to determine which days are religious or civil holidays, which days mark the beginning and end of business accounting periods, and which days have legal significance, such as the day taxes are due or a contract expires. Also a calendar may, by identifying a day, provide other useful information about the day such as its season. Calendars are also used as part of a complete timekeeping system: date and time of day together specify a moment in time. In the modern world, written calendars are no longer an essential part of such systems, as the advent of accurate clocks has made it possible to record time independently of astronomical events.

Currently used calendars

Calendars in widespread use today include the Gregorian calendar, which is the de facto international standard, and is used almost everywhere in the world for civil purposes, including in China and India (along with the Indian national calendar). The Hebrew calendar is the official calendar of Israel's government, but the Gregorian calendar is much more widely used in Israel's business and day-to-day affairs. The Persian calendar is used in Iran and Afghanistan. The Islamic calendar is used by Muslims the world over. The Chinese, Hebrew, Hindu, and Julian calendars are widely used for religious and/or social purposes. Even where there is a commonly used calendar such as the Gregorian calendar, alternate calendars may also be used, such as a fiscal calendar.

Sources

- Calendrical Calculations; Nachum Dershowitz and Edward M. Reingold; Cambridge University Press, 1997; ISBN 0-521-56474-3; [http://emr.cs.iit.edu/home/reingold/calendar-book/second-edition/ Book Info]; [http://emr.cs.iit.edu/home/reingold/calendar-book/Calendrica.html Online Calculator]
- Mapping Time, the calendar and its history; E G Richards; Oxford University Press, 1998; ISBN 0-19-850413-6
- A comparative Calendar of the Iranian, Muslim Lunar,and Christian Eras for Three Thousand Years; Ahmad Birashk; Mazda Publishers, 1993; ISBN 0-939214-95-4
- The Comprehensive Hebrew Calendar; Arthur Spier; Feldheim Publishers, 1986; ISBN 0-87306-398-8
- High Days and Holidays in Iceland; Árni Björnsson; Mál og menning, 1995; ISBN 9979-3-0802-8
- Explanatory Supplement to the Astronomical Almanac; P. Kenneth Seidelmann, ed.; University Science Books, 1992; ISBN 0-935702-68-7; [http://astro.nmsu.edu/~lhuber/leaphist.html Chapter 12: Calendars by L. E. Doggett]
- Sun, Moon, and Sothis; Lynn E. Rose; Kronos Press, 1999; ISBN 0-917994-15-9
- Untersuchungen zur Geschichte der Tibetischen Kalenderrechnung; Dieter Schuh; Franz Steiner Verlag GMBH, 1973

External links

- [http://www.tondering.dk/claus/calendar.html Frequently Asked Questions about Calendars]
- [http://88.1911encyclopedia.org/C/CA/CALENDAR.htm 1911 Encyclopaedia Britannica entry]
- [http://www.abcalendar.com Event Calendar] based on Wikipedia Content
- [http://kalender-365.de/calendar.php Perpetual Calendar 1800 - 2400]
- [http://www5a.biglobe.ne.jp/~accent/calendar/index.htm Perpetual Calendar]
- [http://www.timeanddate.com/calendar/ Current calendar].
- [http://www.datedex.com/results.asp DateDex: Selected events on selected dates]
- ja:暦 th:ปฏิทิน

Leap year

A leap year (or intercalary year) is a year containing an extra day or month in order to keep the calendar year in sync with an astronomical or seasonal year. Seasons and astronomical events do not repeat at an exact number of days, so a calendar which had the same number of days in each year would over time drift with respect to the event it was supposed to track. By occasionally inserting (or intercalating) an additional day or month into the year, the drift can be corrected. Leap years (which keep the calendar in sync with the year) should not be confused with leap seconds (which keep clock time in sync with the day).

Gregorian calendar

The Gregorian calendar, the current standard calendar in most of the world, adds a 29th day to February in all years evenly divisible by 4, except for century years (those ending in -00), which receive the extra day only if they are evenly divisible by 400. Thus 1996 was a leap year whereas 1999 was not, and 1600, 2000 and 2400 are leap years but 1700, 1800, 1900 and 2100 are not. The reasoning behind this rule is as follows:
- The Gregorian calendar is designed to keep the vernal equinox on or close to March 21, so that the date of Easter (celebrated on the Sunday after the 14th day of the Moon that falls on or after 21 March) remains correct with respect to the vernal equinox.
- The vernal equinox year is currently about 365.242375 days long.
- The Gregorian leap year rule gives an average year length of 365.2425 days. This difference of a little over 0.0001 days means that in around 8,000 years, the calendar will be about one day behind where it should be. But in 8,000 years' time the length of the vernal equinox year will have changed by an amount we can't accurately predict (see below). So the Gregorian leap year rule does a good enough job. Image:Gregoriancalendarleap.png

Which day is the leap day?

The Gregorian calendar is a modification of the Julian calendar first used by the Romans. The Roman calendar originated as a lunar calendar (though from the 5th century BC it no longer followed the real moon) and named its days after three of the phases of the moon: the new moon (calends, hence "calendar"), the first quarter (nones) and the full moon (ides). Days were counted down (inclusively) to the next named day, so 24 February was ante diem sextum calendas martii ("the sixth day before the calends of March"). Since 45 BC, February in a leap year had two days called "the sixth day before the calends of March". The extra day was originally the second of these, but since the third century it was the first. Hence the term bissextile day for 24 February in a bissextile year. Where this custom is followed, anniversaries after the inserted day are moved in leap years. For example, the former feast day of Saint Matthias, 24 February in ordinary years, would be 25 February in leap years. This historical nicety is, however, in the process of being discarded: The European Union declared that, starting in 2000, 29 February rather than 24 February would be leap day, and the Roman Catholic Church also now uses 29 February as leap day. The only tangible difference is felt in countries that celebrate feast days.

Julian calendar

The Julian calendar adds an extra day to February in years divisible by 4. This rule gives an average year length of 365.25 days. The excess of about 0.0076 days with respect to the vernal equinox year means that the vernal equinox moves a day earlier in the calendar every 130 years or so.

Revised Julian Calendar

The Revised Julian calendar adds an extra day to February in years divisible by 4, except for years divisible by 100 that do not leave a remainder of 200 or 600 when divided by 900. This rule agrees with the rule for the Gregorian calendar until 2799. The first year that dates in the Revised Julian calendar will not agree with the those in the Gregorian calendar will be 2800, because it will be a leap year in the Gregorian calendar but not in the Revised Julian calendar. This rule gives an average year length of 365.242222… days. This is a very good approximation to the meantropical year, but because the vernal equinox tropical year is slightly longer, the Revised Julian calendar does not do as good a job as the Gregorian calendar of keeping the vernal equinox on or close to 21 March.

Chinese calendar

The Chinese calendar is lunisolar, so a leap year has an extra month, often called an embolismic month after the Greek word for it. In the Chinese calendar the leap month is added according to a complicated rule, which ensures that month 11 is always the month that contains the northern winter solstice. The intercalary month takes the same number as the preceding month; for example, if it follows the second month then it is simply called "leap second month".

Hebrew calendar

The Hebrew calendar is also lunisolar with an embolistic month. In the Hebrew calendar the extra month is called Adar Alef (first Adar) and is added before Adar, which then becomes Adar Sheni (second Adar). According to the Metonic cycle, this is done seven times every nineteen years, specifically, in years, 3, 6, 8, 11, 14, 17, and 19. In addition, the Hebrew calendar has postponement rules that postpone the start of the year by one or two days. The year before the postponement gets one or two extra days, and the year whose start is postponed loses one or two days. These postponement rules reduce the number of different combinations of year length and starting day of the week from 28 to 14, and regulate the location of certain religious holidays in relation to the Sabbath.

Hindu Calendar

In the Hindu calendar, which is a lunisolar calendar, the embolismic month is called adhika maas (extra month). It is the month in which the sun is in the same sign of the stellar zodiac on two consecutive dark moons.

Iranian calendar

The Iranian calendar also has a single intercalated day once in every four years, but every 33 years or so the leap years will be five years apart instead of four years apart. The system used is more accurate and more complicated, and is based on the time of the March equinox as observed from Teheran. The 33-year period is not completely regular; every so often the 33-year cycle will be broken by a cycle of 29 or 37 years.

Long term leap year rules

The accumulated difference between the Gregorian calendar and the vernal equinoctial year amounts to 1 day in about 8,000 years. This suggests that the calendar needs to be improved by another refinement to the leap year rule: perhaps by avoiding leap years in years divisible by 8,000. (The most common such proposal is to avoid leap years in years divisible by 4,000 [http://www.google.com/search?q=%22gregorian+calendar%22+error+%22leap+year%22+4000]. This is based on the difference between the Gregorian calendar and the mean tropical year. Others claim, erroneously, that the Gregorian calendar itself already contains a refinement of this kind [http://www.straightdope.com/mailbag/mleapyr.html].) However, there is little point in planning a calendar so far ahead because over a timescale of tens of thousands of years the number of days in a year will change for a number of reasons, most notably: #Precession of the equinoxes moves the position of the vernal equinox with respect to perihelion and so changes the length of the vernal equinoctial year. #Tidal acceleration from the sun and moon slows the rotation of the earth, making the day longer. In particular, the second component of change depends on such things as post-glacial rebound and sea level rise due to climate change. We can't predict these changes accurately enough to be able to make a calendar that will be accurate to a day in tens of thousands of years.

Marriage proposal

There is a tradition, said to go back to Saint Patrick and Saint Bridget in 5th century Ireland, whereby women may only make marriage proposals in leap years.

Saint Patrick and the leap year

:Saint Patrick, having driven the frogs out of the bogs was walking along the shores of Lough Neagh, when he was accosted by Saint Bridget in tears, and was told that a mutiny had broken out in the nunnery over which she presided, the ladies claiming the right of popping the question. :Saint Patrick said he would concede them the right every seventh year, when Saint Bridget threw her arms round his neck, and exclaimed, "Arrah, Pathrick, jewel, I daurn't go back to the girls wid such a proposal. Make it one year in four." Saint Patrick replied, "Bridget, acushla, squeeze me that way again, an' I'll give ye leap-year, the longest of the lot." Saint Bridget, upon this, popped the question to St Patrick himself, who, of course, could not marry: so he patched up the difficulty as best he could with a kiss and a silk gown. (Source: Evans, Ivor H, Brewer's Dictionary of Phrase and Fable, Cassell, London, 1988) According to a 1288 law in Scotland, fines were levied if the proposal was refused by the man; compensation ranged from a kiss to a silk gown to soften the blow. Because men felt that put them at too great a risk, the tradition was in some places tightened to restricting female proposals to 29 February.

Birthdays

A person who was born on 29 February may be called a "leapling". In non-leap years they usually celebrate their birthday on 28 February or 1 March. There are many instances in children's literature where a person's claim to be only a quarter of their actual age turns out be based on counting their leap-year birthdays. A similar device is used in the plot of the Gilbert and Sullivan operettaThe Pirates of Penzance. Category:Calendars Category:Units of time als:Schaltjahr ko:윤년 ja:閏年 simple:Leap year th:ปีอธิกสุรทิน

Dominical letter

The days of the year are sometimes designated letters A, B, C, D, E, F and G in a cycle of 7 as an aid for finding the day of week of a given calendar date and in calculating Easter. These letters are known as dominical letters. A common year has a dominical letter, which is simply the dominical letter of its first Sunday. For example 2003 has 5 January as its first Sunday so has Dominical letter E. In leap years, the leap day has no dominical letter. This ensures that each date has the same dominical letter every year, but causes the days of the weeks of the dominical letters to change within a leap year. Hence leap years have two dominical letters: the first for January and February and the second for March to December. The second dominical letter is the dominical letter of the first Sunday of October (which is the same as for January in a common year). The year 2004 has Dominical letters DC. Examples include:
- 1996 GF
- 1997 E
- 1998 D
- 1999 C
- 2000 BA
- 2001 G
- 2002 F
- 2003 E
- 2004 DC
- 2005 B
- 2006 A
- 2007 G
- 2008 FE The dominical letter of a year determines the days of week in its calendar:
- A common year starting on Sunday
- B common year starting on Saturday
- C common year starting on Friday
- D common year starting on Thursday
- E common year starting on Wednesday
- F common year starting on Tuesday
- G common year starting on Monday
- AG leap year starting on Sunday
- BA leap year starting on Saturday
- CB leap year starting on Friday
- DC leap year starting on Thursday
- ED leap year starting on Wednesday
- FE leap year starting on Tuesday
- GF leap year starting on Monday

History

A device adopted from the Romans by the old chronologers to aid them in finding the day of the week corresponding to any given date, and indirectly to facilitate the adjustment of the "Proprium de Tempore" to the "Proprium Sanctorum" when constructing the ecclesiastical calendar for any year. The Church, on account of her complicated system of movable and immovable feasts (see Christian calendar), has from an early period taken upon herself as a special charge to regulate the measurement of time. To secure uniformity in the observance of feasts and fasts, she began, even in the patristic age, to supply a computus, or system of reckoning, by which the relation of the solar and lunar years might be accommodated and the celebration of Easter determined. Naturally she adopted the astronomical methods then available, and these methods and the methodology belonging to them, having become traditional, are perpetuated in a measure to this day, even the reform of the calendar, in the prolegomena to the Breviary and Missal. The Romans were accustomed to divide the year into nundinæ, periods of eight days; and in their marble fasti, or calendars, of which numerous specimens remain, they used the first eight letters of the alphabet to mark the days of which each period was composed. When the Oriental seven-day period, or week, was introduced in the time of Cæsar Augustus, the first seven letters of the alphabet were employed in the same way to indicate the days of this new division of time. In fact, fragmentary calendars on marble still survive in which both a cycle of eight letters — A to H — indicating nundinæ, and a cycle of seven letters — A to G — indicating weeks, are used side by side (see "Corpus Inscriptionum Latinarum", 2nd ed., I, 220; the same peculiarity occurs in the Philocalian Calendar of A.D. 356, ibid., p. 256). This device was imitated by the Christians, and in their calendars the days of the year from 1 January to 31 December were marked with a continuous recurring cycle of seven letters: A, B, C, D, E, F, G. A was always set against 1 January, B against 2 January, C against 3 January, and so on. Thus F fell to 6 January, G to 7 January; A again recurred on 8 January, and also, consequently, on 15 January, 22 January, and 29 January. Continuing in this way, 30 January was marked with a B, 31 January with a C, and 1 February with a D. Supposing this to be carried on through all the days of an ordinary year (i. e. not a leap year), it will be found that a D corresponds to 1 March, G to 1 April, B to 1 May, E to 1 June, G to 1 July, C to 1 August, F to 1 September, A to 1 October, D to 1 November, and F to 1 December — a result which Durandus recalled by the following distich: :Alta Domat Dominus, Gratis Beat Equa Gerentes :Contemnit Fictos, Augebit Dona Fideli. Now, as a moment's reflection shows, if 1 January is a Sunday, all the days marked by A will also be Sundays; If 1 January is a Saturday, Sunday will fall on 2 January which is a B, and all the other days marked B will be Sundays; if 1 January is a Monday, then Sunday will not come until 7 January, a G, and all the days marked G will be Sundays. This being explained, the Dominical Letter of any year is defined to be that letter of the cycle A, B, C, D, E, F, G, which corresponds to the day upon which the first Sunday (and every subsequent Sunday) falls. It is plain, however, that when a leap year occurs, a complication is introduced. February has then twenty-nine days. Traditionally, the Anglican and civil calendars added this extra day to the end of the month, while the Catholic ecclesiastical calendar counted 24 February twice. But in either case, 1 March is then one day later in the week than 1 February, or, in other words, for the rest of the year the Sundays come a day earlier than they would in a common year. This is expressed by saying that a leap year has two Dominical Letters, the second being the letter which precedes that with which the year started. For example, 1 January 1907, was a Tuesday; the first Sunday fell on 6 January, or an F. F was, therefore, the Dominical Letter for 1907. The first of January, 1908, was a Wednesday, the first Sunday fell on 5 January, and E was the Dominical Letter, but as 1908 was a leap year, its Sundays after February came a day sooner than in a normal year and were Ds. The year 1908, therefore, had a double Dominical Letter, ED. In 1909, 1 January was a Friday and the Dominical Letter was C. In 1910 and 1911, 1 January fell respectively on Saturday and Sunday and the Dominical Letters are B and A.

Calculation

This, of course, is all very simple, but the advantage of tile device lies, like that of an algebraical expression, in its being a mere symbol adaptable to any year. By constructing a table of letters and days of the year, A always being set against 1 January, we can at once see the relation between the days of the week and the day of any month, if only we know the Dominical Letter. This may always be found by the following rule of De Morgan's, which gives the Dominical Letter for any year, or the second Dominical Letter if it be leap year: #Add 1 to the given year. #Take the quotient found by dividing the given year by 4 (neglecting the remainder). #Take 16 from the centurial figures of the given year if that can be done. #Take the quotient of III divided by 4 (neglecting the remainder). #From the sum of I, II and IV, subtract III. #Find the remainder of V divided by 7: this is the number of the Dominical Letter, supposing A, B, C, D, E, F, G to be equivalent respectively to 6, 5, 4, 3, 2, 1, 0. For example, to find the Dominical Letter of the year 1913: :(Steps 1, 2, & 4) 1914 + 478 + 0 = 2392 :(3) 19 - 16 = 3 :(5) 2392 - 3 = 2389 :(6) 2389 / 7 = 341, remainder 2. Therefore, the Dominical Letter is E.

Practical use for the clergy

But the Dominical Letter had another very practical use in the days before the Ordo divini officii recitandi was printed annually, and when, consequently, a priest had often to determine the Ordo for himself. As can be seen in the article Epact, Easter Sunday may be as early as 22 March or as late as 25 April, and there are consequently thirty-five possible days on which it may fall. It is also evident that each Dominical Letter allows five possible dates for Easter Sunday. Thus, in a year whose Dominical Letter is A (i. e. when 1 January is a Sunday), Easter must be either on 26 March, 2 April, 9 April, 16 April, or 23 April, for these are all the Sundays within the defined limits. But according as Easter falls on one or another of these Sundays we shall get a different calendar, and hence there are five, and only five, possible calendars for years whose Dominical Letter is A. Similarly, there are five possible calendars for years whose Dominical Letter is B, five for C, and so on, thirty-five possible combinations in all. Now, advantage was taken of this principle in the arrangement of the old Pye or directorium which preceded the present "Ordo". The thirty-five possible calendars were all included therein and numbered, respectively, primum A, secundum A, tertium A, etc.; primum B, secundum B, etc. Hence for anyone wishing to use the Pye the first thing to determine was the Dominical Letter of the year, and then by means of the Golden Number or the Epact, and by the aid of a simple table, to find which of the five possible calendars assigned to that Dominical Letter belonged to the year in question. Such a table as that just referred to, but adapted to the reformed calendar and in more convenient shape, will be found at the beginning of every Breviary and Missal under the heading, "Tabula Paschalis nova reformata". The Dominical Letter does not seem to have been familiar to Bede in his "De Temporum Ratione," but in its place he adopts a similar device of seven numbers which he calls concurrentes (De Temp. Rat., cap. liii), of Greek origin. The Concurrents are numbers denoting the days of the week on which 24 March falls in the successive years of the solar cycle, 1 standing for Sunday, 2 (feria secunda) for Monday, 3 for Tuesday, and so on. It is sufficient here to state that the relation between the Concurrents and the Dominical Letter is the following: :Concurrents 1 2 3 4 5 6 7 :Concurrent 1 = F (Dominical Letter) :Concurrent 2 = E :Concurrent 3 = D :Concurrent 4 = C :Concurrent 5 = B :Concurrent 6 = A :Concurrent 7 = G

Use for mental calculation

There exist patterns in the dominical letters, which are very useful for mental calculation. Patterns for years: To use these patterns, choose and remember a year to use as a starting point, such as 2000=BA. Note that because of the complicated Gregorian leap-year rules, these patterns break near some century changes. Note the reverse alphabetical order. 1992 3 4 5 96 7 8 9 2000 1 2 3 04 5 6 7 2008 ED C B A GF E D C BA G F E DC B A G FE and (note the reversed order of the years as well as of the letters) 2040 2030 2020 2010 2000 1990 1980 1970 1960 1950 AG F ED C BA G FE D CB A | | | | | | | | | | G FE D CB A GF E DC B AG 2046 2036 2026 2016 2006 1996 1986 1976 1966 1956 Patterns for days of the month: The dominical letters for the first day of each month form the nonsense mnemonic phrase "Add G, beg C, fad F". The following dates, given in month/day form, all have dominical letter C: 4/4, 6/6, 8/8, 10/10, 12/12, 5/9, 9/5, 7/11, 11/7. This was stolen from the Doomsday algorithm.

References

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External links

- [http://www.newadvent.org/cathen/05109a.htm Catholic Encyclopedia article on Dominical letter] Category:Weeks

2000

This article is about the year 2000. For other uses of 2000, see 2000 (number) or 2000 (breakdancing move). 2000 (MM) is a leap year starting on Saturday of the Gregorian calendar. Popular culture also holds the year 2000 as the first year of the 21st century and the 3rd millennium. By strict interpretation of the Gregorian Calendar, however, this distinction falls to the year 2001. This is due to the fact that the first century began with the year 1, and there does not exist a year zero. The first century (or first 100 years AD) was from January 1, in the year one (1 AD) through December 31, in the year one-hundred (100 AD). The second century began on January 1, in the year one-hundred and one (101 AD). The year 2000 is also marked as:
- The International Year for a Culture of Peace.
- The World Mathematical Year. See also Wikipedia's almanac of events for this year.

Events

January

- January 1 - Millennium celebrations take place throughout the world. Y2K passes without the serious, widespread computer failures and malfunctions that had been predicted.
- January 5-January 8 - The 2000 al-Qaida Summit
- January 6 - The last remaining Pyrenean Ibex is found dead.
- January 10 - America On-line announces an agreement to buy Time Warner for $162 billion. This is the largest-ever corporate merger.
- January 11 - the armed wing of Islamic Salvation Front concludes its negotiations with the government for an amnesty and disbands in Algeria.
- January 11 - The trawler Solway Harvester sinks off the Isle of Man.
- January 14 - A United Nations tribunal sentences five Bosnian Croats up to 25 years for the 1993 killing of over 100 Bosnian Muslims in a Bosnian village.
- January 16 - In Sacramento, California a commercial truck carrying evaporated milk is driven into the state capitol building killing the driver.
- January 24 - God's Army, Karen militia group led by twins Johnny and Luther Htoo, take 700 hostages at a Thai hospital near the Burmese border.
- January 30 - St. Louis Rams 23 defeat the Tennessee Titans 16 to win the Super_Bowl_XXXIV
- January 30 - Off the coast of Côte d'Ivoire, Kenya Airways Flight 431 crashes into the Atlantic Ocean, killing 169. Within a day, Alaska Airlines Flight 261 crashes off the California coast into the Pacific Ocean, killing 88.
- January 31 - Dr. Harold Shipman in sentenced to life in prison for murder of at least 15 of his patients out of 365 suspected victims.

February

- February 4 - German extortionist Klaus-Peter Sabotta is jailed for life for attempted murder and extortion in connection with sabotage of German railway lines.
- February 6 - Tarja Halonen is elected the first Finnish female president.
- February 13 - Final original Peanuts comic strip is published.
- February 14 - The spacecraft NEAR Shoemaker entered orbit around asteroid 433 Eros, the first spacecraft to orbit an asteroid.

March

- March 1 - The Constitution of Finland is rewritten.
- March 2 - Hans Blix assumes the position of Executive Chairman of UNMOVIC.
- March 8 - Tokyo train disaster.
- March 9 - FBI arrests suspected purveyor of art forgeries, Ely Sakhai, in New York City.
- March 10 - The NASDAQ Composite Index reaches an all-time high of 5048. ([http://dynamic.nasdaq.com/dynamic/IndexChart.asp?symbol=IXIC&desc=NASDAQ+Composite&sec=nasdaq&site=nasdaq&months=84])
- March 18 - 2000 Taiwanese presidential election: Chen Shui-bian is elected President of the Republic of China (Taiwan).
- March 20 - Jamil Abdullah Al-Amin, a former Black Panther, is captured after gun battle that left a sheriff's deputy dead.
- March 21 - Pope John Paul II began the first office visit by a Roman Catholic pontiff to Israel.
- March 21 - US Supreme Court ruled the goverment lacked authority to regulate tobacco as an addictive drug, throwing out the Clinton administration's main anti-smoking initiative.
- March 26 - Presidential elections in Russia: Vladimir Putin elected President.
- March 30 - America's Cup 2000 retained by Team New Zealand near Auckland. Prada Challenge 2000 lost 0-5 in a "best-of-9".

April

April.]]
- April 1 - Japanese prime minister Keizo Obuchi suffers a stroke and falls into a coma.
- April 3 - United States v. Microsoft: Microsoft is ruled to have violated United States antitrust laws by keeping "an oppressive thumb" on its competitors.
- April 5 - Yoshiro Mori replaces Obuchi as prime minister of Japan.
- April 7 - Attack submarine ex-Trepang completes being recycled.
- April 16 - Tuanku Syed Putra ibni Almarhum Syed Hassan Jamalullail, Raja of Perlis dies after a reign of 55 years. He was the longest reigning monarch in the world since the death of Prince Franz Joseph II of Liechtenstein.
- April 17 - Tuanku Syed Sirajuddin becomes Raja of Perlis.
- April 22 - In a predawn raid, federal agents seize six-year old Elián González from his relatives' home in Miami, Florida and fly him to his Cuban father in Washington, DC ending one of the most publicized custody battles in US history.
- April 25 - The State of Vermont passes HB847, legalizing Civil Unions for same-sex couples.

May

- May 3 - A rare conjunction occurs on the New Moon including all seven of the traditional celestial bodies known from ancient times up until 1781 with the discovery of Uranus. The May 2000 conjunction consisted of: the Sun and Moon, Mercury, Venus, Mars, Jupiter, and Saturn.
- May 3 - Computer pioneer Datapoint Corporation files for Chapter 11 bankruptcy.
- May 12 - The Tate Modern opens in London.
- May 13 - In Enschede a heavy fireworks explosion kills 20 and leaves an entire neighborhood in ruins.
- May 18 - Boo.com collapses due to lack of funds after six months.
- May 25 - Israel withdraws IDF troops from southern Lebanon after 22 years.
- May 28 - The volcano Mount Cameroon erupts.

June

- June 1 - Mark Mendlan, professional wrestler known by his ring name "Kid Gorgeous," is killed while wrestling at a show in New Hampshire.
- June 7 - U.S. District Judge Thomas Penfield Jackson of the 4th circuit ordered the breakup of Microsoft Corp.
- June 10 - The New Jersey Devils defeat the Dallas Stars 4 games to 2 to win the 2000 Stanley Cup Finals.
- June 10 - The 2000 European Football Championship begins, hosted jointly by Belgium and the Netherlands.
- June 21 - Section 28, a law preventing the promotion of homosexuality is repealed by the Scottish Parliament.
- June 23 - Palace Backpackers Hostel fire in Childers, Queensland, Australia, kills 15 people.
- June 30 - During a set of the band Pearl Jam at the Roskilde Festival near Copenhagen, 9 die and 26 are injured in the crowd.

July

July
- July 2 - France beat Italy 2-1 to win the 2000 European Football Championship with a golden goal.
- July 2 - Presidential election of Mexico. Vicente Fox wins the Presidency as candidate of the rightist PAN (National Action Party).
- July 10 - In southern Nigeria, a leaking petroleum pipeline explodes killing about 250 villagers who were scavenging gasoline
- July 10 - Death of Denis O Conor Donn, died 10th July 2000, aged 88; succeded by his son, Desmond as The O Connor Donn
- July 18 - Alex Salmond resigns as the leader of the Scottish National Party
- July 25 - A Concorde carrying Air France Flight 4590 crashes just after takeoff from Paris killing all 109 aboard and 5 on the ground.

August

- August 1 - The Santa Cruz Operation announced that it will sell its Server Software and Services Divisions, as well as UnixWare and OpenServer technologies, to Caldera Systems,Inc.
- August 8 - Confederate submarine H.L. Hunley is raised to the surface after 136 years on the ocean floor.
- August 12 - The Russian submarine Kursk sinks in the Barents Sea, resulting in the deaths of all 118 men on board.
- August 14 - The first comic of Megatokyo goes online. This webcomic will later become one of the most popular comics on the web (in terms of page views) and spawn numerous imitators.
- August 25 - the Emulex hoax - wire services publish fraudulent bad news about Emulex
- August 27 - The Ostankino Tower in Moscow catches fire, three people are killed.

September

- September 5 - Tuvalu joins the United Nations.
- September 6 - In New York City, the United Nations Millennium Summit begins with more than 180 world leaders present.
- September 6 - The last wholly Swedish-owned arms manufacturer, Bofors, is sold to American arms manufacturer United Defense
- September 7–14 - The UK fuel protests take place, with refineries blockaded, and supply to the country's network of petrol stations halted.
- September 8 - Albania officially joins the World Trade Organization.
- September 15 - The 2000 Summer Olympics are opened in Sydney, Australia.
- September 16 - Ukrainian journalist Georgiy Gongadze is last seen alive; this day is taken as the commemoration date of his death.
- September 24 - The American Family Association begins lobbying the U.S. Congress to eradicate the National Endowment for the Arts for funding the controversial book One of the Guys by Robert Clark Young
- September 26 - Anti-globalization protests in Prague (some 15,000 protesters) turned violent during the IMF and World Bank summits.
- September 28 - Ariel Sharon leads several hundred armed Israelis in a visit to the Temple Mount. Palestinian civil disorder increases into the Al-Aqsa Intifada.
- September 29 - The Long Kesh prison in Northern Ireland is closed.

October

- October 2 NBC Today Show expanded it to three hours (7:00–10:00 A.M. Eastern Time/Pacific Time; 6:00–9:00 A.M. Central Time/Mountain Time)
- October 5 - President Slobodan Milošević leaves office after widespread demonstrations throughout Serbia and the withdrawal of Russian support.
- October 11 - 250 million gallons of coal sludge spill in Martin County, Kentucky. Considered a greater environmental disaster than the Exxon Valdez oil spill.
- October 12 - In Aden, Yemen, the USS Cole is badly damaged by two suicide bombers who placed a small boat laden with explosives along-side the United States Navy destroyer, killing 17 crew members and wounding at least 39.
- October 21 15 Arab leaders convened in Cairo, Egypt, for their first summit in four years; the Libyan delegation walked out, angry over signs the summit would stop short of calling for breaking ties with Israel.
- October 22 – Mainichi Shinbun exposes Japanese archeologist Shinichi Fujimura as a fraud; Japanese archaeologists had based their treatises of his findings.
- October 26 - Pakistani authorities announce that their police have found an apparently ancient mummy of a persian princess in the province of Baluchistan. Iran, Pakistan and the Taliban all claim the mummy until Pakistan announces it is a forgery in April 17 2001
- October 31 - Singapore Airlines Flight 006 collides with construction equipment in the Chiang Kai Shek International Airport - 83 dead.
- October 31 - The last Jeremy clone has shut down.

November

November
- November - Iraq disarmament crisis: Iraq rejects new U.N. Security Council weapons inspections proposals
- November 1 - Yugoslavia's new democratic government joined the United Nations after eight years of U.N. ostracism under former strongman Slobodan Milosevic.
- November 3 - Widespread flooding throughout England and Wales after days of heavy rain
- November 4 - President Clinton vetoed a bill that would have criminalized the leaking of government secrets.
- November 7 - U.S. presidential election, 2000: Republican challenger George W. Bush defeats Democrat Vice President Al Gore, but the final outcome is not known for over a month because of disputed votes in Florida.
- November 7 - Criminal gang raids the Millennium Dome to steal The Millennium Star diamond but police surveillance catches them in the act
- November 7 - Hillary Rodham Clinton is elected to the United States Senate, becoming the first First Lady of the United States to win public office
- November 11 - Kaprun disaster, Austria, where 155 skiers and snowboarders die when a cable car catches fire in an alpine tunnel.
- November 13 - Richard C. Duncan presents his paper, "The Peak Of World Oil Production And The Road To The Olduvai Gorge", on the Olduvai theory (about the collapse of the industrial civilization), at the Summit 2000 Pardee Keynote Symposia of the Geological Society of America)
- November 14 - Netscape version 6.0 is launched following two years of open source development creating a stable Mozilla web browser upon which it is based
- November 16 - Bill Clinton becomes the first sitting US President to visit Vietnam
- November 17 - Catastrophical landslide in Log pod Mangartom,Slovenia, kills 7, and causes millions of SIT of damage. It is one of the worst catastrophies in Slovenia in the past 100 years.
- November 17 - Alberto Fujimori is removed from office as president of Peru
- November 27 - Canada - Parliamentary elections - Jean Chrétien re-elected as Prime Minister as Liberal Party increases majority in House of Commons
- November 28 - Ukrainian politician Oleksander Moroz touches off the Cassette Scandal by publicly accusing President Leonid Kuchma of involvement in the murder of journalist Georgiy Gongadze.

December

- December 1 - Mexico - Vicente Fox becomes the first opposition President to take office since Francisco I. Madero in 1911. He wins the Presidency as candidate of the rightist PAN (National Action Party).
- December 28 - U.S. retail giant Montgomery Ward announces it is going out of business after 128 years.
- December 30 - Rizal Day Bombings: A series of bombs explode in various places in Metro Manila, Philippines, within a span of a few hours killing 22 and injuring about a hundred.

Unknown Date

- Limited reintroduction of routinely armed police in the UK for the first time since 1936.
- Scientists at University of Szeged's laboratory were first in the world to produce artificial heredity material.
- Millie I. Webb elected president of Mothers Against Drunk Driving.

Births

- February 23 - Max & Sam Christy, American actors
- March 15- Amy and Emily Walton, English actresses
- April 25 - Jacob & Joshua Rips, American actors
- October 6 - Amanda Pace, American actress
- October 20 - Cooper and Oliver Guynes, American actors
- November 8 - Madison and Marissa Poer, actresses

Deaths

January

- January 2 - Patrick O'Brian, English writer (b. 1914)
- January 15 - Fran Ryan, American actress (b. 1916)
- January 19 - Bettino Craxi, Prime Minister of Italy (b. 1934)
- January 19 - Hedy Lamarr, Austrian actress (b. 1913)

February

- February 9 - Beau Jack, American boxer (b. 1921)
- February 11 - Roger Vadim, French film director (b. 1928)
- February 12 - Jalacy "Screamin' Jay" Hawkins, American musician (b. 1929)
- February 12 - Tom Landry, American football coach (b. 1924)
- February 12 - Charles M. Schulz, American comic strip artist (b. 1921)
- February 23 - Sir Stanley Matthews, English footballer (b. 1915)

April

- April 6 - Habib Bourguiba, President of Tunisia (b. 1903)
- April 16 - Tuanku Syed Putra ibni Almarhum Syed Hassan Jamalullail, King of Malaysia (b. 1920)
- April 25 - David Merrick, American stage producer (b. 1911)
- April 29 - Phạm Văn Ðồng, Prime Minister of Vietnam (b. 1906)

May

- May 11 - Paula Wessely, Austrian actress (b. 1907)
- May 12 - Adam Petty, American race car driver (b. 1980)
- May 14 - Keizo Obuchi, Prime Minister of Japan (b. 1937)
- May 17 - Donald Coggan, Archbishop of Canterbury (b. 1909)
- May 19 - Yevgeny Khrunov, cosmonaut

Common year starting on Friday

This is the calendar for any common year starting on Friday (dominical letter C), for example, 2010. (A common year is a year with 365 days—in other words, not a leap year.)

Millennium	Century	Year
2nd Millennium:	19th century:	1802	1813	1819	1830	1841	1847	1858	1869	1875	1886	1897
2nd Millennium:	20th century:	1909	1915	1926	1937	1943	1954	1965	1971	1982	1993	1999
3rd Millennium:	21st century:	2010	2021	2027	2038	2049	2055	2066	2077	2083	2094
3rd Millennium:	22nd century:	2100	2106	2117	2123	2134	2145	2151	2162	2173	2179	2190

Category:Friday Category:Weeks ko:금요일로 시작하는 평년 th:ปีปกติสุรทินที่วันแรกเป็นวันศุกร์

2nd millennium AD

(1st millennium – 2nd millennium – 3rd millennium – other millennia) ----

Events

- European crusades in Middle East
- Mongol Empires in Asia
- The Black Death
- The Renaissance in Europe
- The Protestant Reformation
- The agricultural and industrial revolutions
- The rise of nationalism and the nation state
- European discovery of the Americas and Australia and their colonization
- European colonization and decolonization in Africa and Asia
- Population explosion
- World-spanning wars (Seven Years' War, French Revolutionary Wars, Napoleonic Wars, World War I, World War II)
- Ideological disputes, Capitalism and Communism

Significant persons

- Bhaskara (1114 - 1185), Indian mathematician, founder of differential calculus.
- Genghis Khan, (c. 1155/1162/1167 – 1227), Mongolian conqueror
- Thomas Aquinas (1225 – 1274), Italian theologian
- Dante Alighieri (1265 – 1321), Italian poet
- John Wycliffe (c. 1320 - 1384), English theologian and early proponent of reform in the Roman Catholic Church.
- Timur (1336 - 1405), founder of Timurid Empire
- Madhava of Sangamagrama (1350 - 1425), Indian mathematician, father of mathematical analysis.
- Yongle Emperor of China (1360 - 1424), considered among the greatest Chinese emperors.
- Jan Hus (1369 - 1415), Bohemian religious thinker and reformer.
- Zheng He (1371 - 1435), Chinese explorer.
- Johannes Gutenberg (c. 1398 – 1468), Inventor of movable type
- Joan of Arc (1412 - 1431), female commander of the French army.
- Christopher Columbus (1451 – 1506), Spanish explorer
- Leonardo da Vinci (1452 – 1519), Italian Artist, Philosopher and Scientist
- Nicholas Copernicus (1473 – 1543), Polish astronomer and mathematician
- Ferdinand Magellan (1480 - 1521), Portoguese explorer.
- Martin Luther (1483 – 1546), German religious reformer.
- Babur (1483 – 1530), founder of India's Mughal Empire, descendant of Timur.
- Jyeshtadeva (1500 – 1575), Indian mathematician and astronomer, writer of the world's first calculus text.
- Akbar (1542 – 1605), considered the greatest of the Mughal emperors
- Miguel de Cervantes (1547 – 1616), Spanish playwright and novelist
- Galileo Galilei (1564 – 1642), Italian scientist
- William Shakespeare (1564 – 1616), British playwright and poet
- Jahangir (1569 – 1627), one of the greatest Mughal emperors
- Shah Jahan (1592 – 1666), one of the greatest Mughal emperors, builder of the Taj Mahal
- René Descartes (1596 – 1650), French philosopher and mathematician
- Isaac Newton (1642 – 1727), British scientist
- Benjamin Franklin (1706 – 1790), American founding father and scientist
- George Washington (1732 – 1799), First American president
- Thomas Jefferson (1743 – 1826), American founding father and president
- Wolfgang Amadeus Mozart (1756 – 1791), Austrian Composer
- Maximilien Robespierre (1758 – 1794) French Revolutionary Leader
- Napoleon I of France (1769 – 1821), French conqueror and emperor
- Michael Faraday (1791 – 1867), British scientist and inventor
- Abraham Lincoln (1809 – 1865), American president
- Charles Darwin (1809 – 1882), British natural scientist
- Otto von Bismarck (1815 – 1898), German chancellor
- Karl Marx (1818 – 1883), German political philosopher
- Queen Victoria (1819 – 1901), Queen of the United Kingdom
- Louis Pasteur (1822 – 1895) , French microbiologist and chemist.
- Friedrich Nietzsche (1844 – 1900), German philosopher
- Thomas Edison (1847 – 1931), Inventor
- Sigmund Freud (1856 – 1939), Austrian psychoanalyst
- Nikola Tesla (1856 – 1943), Inventor
- Mangal Pandey (d. 1857), considered to be responsible for the Indian Mutiny
- Henry Ford (1863 – 1947), Industrialist
- Mahatma Gandhi (1869 – 1948), Indian civil rights leader
- Vladimir Lenin (1870 – 1924), Soviet leader
- Winston Churchill (1874 – 1965), British prime minister
- Albert Einstein (1879 – 1955), German physicist
- Joseph Stalin (1879 – 1953), Soviet leader
- Franklin D. Roosevelt (1882 – 1945), American president
- Adolf Hitler (1889 – 1945), German dictator
- Mao Zedong (1893 – 1976), Chinese revolutionary
- Walt Disney (1901 – 1966), American film producer and animator
- Bhagat Singh (1907 – 1931), one of the most famous martyrs of the Indian freedom struggle
- John Paul II (1920 – 2005), Pope of the Roman Catholic Church
- Martin Luther King, Jr. (1929 – 1968), American civil rights leader

Inventions, Discoveries, Introductions

- The Printing press
- Gunpowder
- The Steam engine
- The discovery of the scientific method
- Theory of evolution
- The discovery of genetics and DNA
- Calculus
- Human Flight
- Nuclear Power
- The transistor and electronics
- Space travel and mankind's first flight to the moon
- The internal combustion engine
- Capitalism and socialism
- The computer and the Internet
- Universal suffrage
- Quantum Physics

Centuries and Decades

11th century	1000s	1010s	1020s	1030s	1040s	1050s	1060s	1070s	1080s	1090s
12th century	1100s	1110s	1120s	1130s	1140s	1150s	1160s	1170s	1180s	1190s
13th century	1200s	1210s	1220s	1230s	1240s	1250s	1260s	1270s	1280s	1290s
14th century	1300s	1310s	1320s	1330s	1340s	1350s	1360s	1370s	1380s	1390s
15th century	1400s	1410s	1420s	1430s	1440s	1450s	1460s	1470s	1480s	1490s
16th century	1500s	1510s	1520s	1530s	1540s	1550s	1560s	1570s	1580s	1590s
17th century	1600s	1610s	1620s	1630s	1640s	1650s	1660s	1670s	1680s	1690s
18th century	1700s	1710s	1720s	1730s	1740s	1750s	1760s	1770s	1780s	1790s
19th century	1800s	1810s	1820s	1830s	1840s	1850s	1860s	1870s	1880s	1890s
20th century	1900s	1910s	1920s	1930s	1940s	1950s	1960s	1970s	1980s	1990s

Category:2nd millennium ja:2千年紀

1820

1820 was a leap year starting on Saturday (see link for calendar).

Events

- January 1 - Constitutionalist military insurrection at Cádiz leads to summoning of Spanish parliament (March 7) and restoration of 1812 Constitution (March 8) by king Ferdinand VII. (See Mid-nineteenth century Spain.)
- January 28 - Russian expedition lead by Fabian Gottlieb von Bellingshausen and Mikhail Petrovich Lazarev approaches the Antarctic coast. (See History of Antarctica.)
- January 29 - George IV of the United Kingdom ascends the Throne, ending the period known as the English Regency.
- January 30 - Edward Bransfield lands on the Antarctic mainland. (See History of Antarctica.)
- February 6 - 86 free African American colonists sail from New York City to Freetown, Sierra Leone.
- February 23 - The Cato Street conspiracy is exposed. The principals are executed on May 1
- March 3 & 6 - Slavery in the United States: The Missouri Compromise becomes law.
- March 15 - Maine is admitted as the 23rd U.S. state.
- April - Radical War in Scotland
- May 1 - Last hanging drawing and quartering in Britain – Cato Street conspirators for treason (only hanged and beheaded) (See Capital punishment in the United Kingdom.)
- Spring - Joseph Smith, Jr. at age 14 claims to be visited in a vision by God and Jesus (Tradition holds that this occurred on April 6)
- July - Constitutionalist revolution in the Kingdom of the Two Sicilies
- August 24 -