Gaussian Formulae - Revision history

Wsk: clarification

2011-10-04T00:42:02Z

clarification

FrJohn at 19:05, September 8, 2005

2005-09-08T19:05:54Z

FrJohn at 19:05, September 8, 2005

2005-09-08T19:05:20Z

FrJohn at 19:00, September 8, 2005

2005-09-08T19:00:14Z

FrJohn: Formatting and in-site links

2005-09-08T18:59:56Z

Formatting and in-site links

FrJohn: /* Related Links */

2005-09-08T18:53:00Z

‎Related Links

FrJohn: /* Related Links */

2005-09-08T18:52:22Z

‎Related Links

FrJohn at 18:52, September 8, 2005

2005-09-08T18:52:06Z

Aleks at 01:04, August 30, 2005

2005-08-30T01:04:34Z

Aleks at 01:03, August 30, 2005

2005-08-30T01:03:47Z

New page

The '''Gaussian Formulae''' for Pascha were created by the prolific German mathematician [http://en.wikipedia.org/wiki/Carl_Friedrich_Gauss Karl Friedrich Gauss] (1777-1855).

In these formulae, mod indicates the [http://mathworld.wolfram.com/Modulus.html Modulus], a mathematical operator that returns the remainder from division. For example, <math>8 mod 3 = 2</math> because <math>8 / 3 = 2 remainder 2</math>.
In addition, int indicates the [http://mathworld.wolfram.com/IntegerPart.html Integer Part] of a number. For positive numbers, it returns the greatest integer less than the number. For example, <math>Int(8.25) = 8</math>.

Year indicates the year of interest (AD).
The formulae:
a = Year mod 4
b = Year mod 7
c = Year mod 19
d = (19c + 15) mod 30
e = (2a + 4b - d + 34) mod 7
f = Int((d + e + 114) / 31)
g = ((d + e + 114) mod 31) + 1

f is the month of Pascha.
g is the day of Pascha. For example, if f is 3 and g is 27, then Pascha occurs on March 27.

Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.

----
Source: Hieromonk Cassian, ''A Scientific Examination of the Orthodox Church Calendar''
Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']

← Older revision		Revision as of 00:42, October 4, 2011
Line 11:		Line 11:
	a = Year mod 4<br>b = Year mod 7<br>c = Year mod 19<br>d = (19c + 15) mod 30<br>e = (2a + 4b - d + 34) mod 7<br>f = Int((d + e + 114) / 31)<br>g = ((d + e + 114) mod 31) + 1<br>f is the month of Pascha.<br>g is the day of Pascha. For example, if f is 3 and g is 27, then Pascha occurs on March 27.		a = Year mod 4<br>b = Year mod 7<br>c = Year mod 19<br>d = (19c + 15) mod 30<br>e = (2a + 4b - d + 34) mod 7<br>f = Int((d + e + 114) / 31)<br>g = ((d + e + 114) mod 31) + 1<br>f is the month of Pascha.<br>g is the day of Pascha. For example, if f is 3 and g is 27, then Pascha occurs on March 27.

−	Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.	+	Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days during the twentieth and twenty-first centuries.

@@ Line 12: / Line 12: @@
 Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.
 ==External Links==
 * Source: Hieromonk Cassian, ''A Scientific Examination of the Orthodox Church Calendar'', ISBN 0911165312. Available from [http://users.sisqtel.net/sgpm/ctos/oldcal/SEO.html The Center for Traditionalist Orthodox Studies]
 * Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']
 [[Category:Church Life]]

@@ Line 13: / Line 13: @@
 Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.
-----
+==External Links==
-* Source: Hieromonk Cassian, ''A Scientific Examination of the Orthodox Church Calendar''
+* Source: Hieromonk Cassian, ''A Scientific Examination of the Orthodox Church Calendar'', ISBN 0911165312. Available from [http://users.sisqtel.net/sgpm/ctos/oldcal/SEO.html The Center for Traditionalist Orthodox Studies]
 * Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']

@@ Line 9: / Line 9: @@
 The formulae:
-  a = Year mod 4<br>b = Year mod 7<br>c = Year mod 19<br>d = (19c + 15) mod 30<br>e = (2a + 4b - d + 34) mod 7<br>f = Int((d + e + 114) / 31)<br>g = ((d + e + 114) mod 31) + 1<br>f is the month of Pascha.<br>g is the day of Pascha. For example, if f is 3 and g is 27, then Pascha occurs on March 27.
+ a = Year mod 4<br>b = Year mod 7<br>c = Year mod 19<br>d = (19c + 15) mod 30<br>e = (2a + 4b - d + 34) mod 7<br>f = Int((d + e + 114) / 31)<br>g = ((d + e + 114) mod 31) + 1<br>f is the month of Pascha.<br>g is the day of Pascha. For example, if f is 3 and g is 27, then Pascha occurs on March 27.
 Important, this returns the date of Pascha ONLY on the [[Old Calendar]]. To get the Gregorian date, add 13 days.

@@ Line 37: / Line 37: @@
 ==Related Links==
 * [[Paschalion]]
 [[Category:Church Life]]

← Older revision		Revision as of 18:52, September 8, 2005
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	* [[Paschalion]]		* [[Paschalion]]

−	[[~~Catgeory~~:Church Life]]	+	[[Category:Church Life]]

← Older revision		Revision as of 18:52, September 8, 2005
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	* Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']		* Programs using these formulae: [http://www.duke.edu/~aa63/menologion.html ''Menologion'']
		+
		+	==Related Links==
		+	* [[Paschalion]]
		+
		+	[[Catgeory:Church Life]]