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Zeller's congruence, the Glossary

Index Zeller's congruence

Zeller's congruence is an algorithm devised by Christian Zeller in the 19th century to calculate the day of the week for any Julian or Gregorian calendar date.[1]

Table of Contents

  1. 13 relations: Algorithm, Astronomical year numbering, Christian Zeller, Determination of the day of the week, Doomsday rule, Floor and ceiling functions, Gregorian calendar, Integer, ISO week date, Julian calendar, Julian day, Modulo, Zero-based numbering.

  2. Calendar algorithms
  3. Eponymous algorithms of mathematics
  4. Gregorian calendar
  5. Julian calendar

Algorithm

In mathematics and computer science, an algorithm is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation.

See Zeller's congruence and Algorithm

Astronomical year numbering

Astronomical year numbering is based on AD/CE year numbering, but follows normal decimal integer numbering more strictly.

See Zeller's congruence and Astronomical year numbering

Christian Zeller

Julius Christian Johannes Zeller (24 June 1822, Mühlhausen am Neckar – 31 May 1899, Cannstatt) was a German mathematician.

See Zeller's congruence and Christian Zeller

Determination of the day of the week

The determination of the day of the week for any date may be performed with a variety of algorithms. Zeller's congruence and determination of the day of the week are calendar algorithms, Gregorian calendar and Julian calendar.

See Zeller's congruence and Determination of the day of the week

Doomsday rule

The Doomsday rule, Doomsday algorithm or Doomsday method is an algorithm of determination of the day of the week for a given date. Zeller's congruence and Doomsday rule are calendar algorithms, Gregorian calendar and Julian calendar.

See Zeller's congruence and Doomsday rule

Floor and ceiling functions

In mathematics, the floor function is the function that takes as input a real number, and gives as output the greatest integer less than or equal to, denoted or.

See Zeller's congruence and Floor and ceiling functions

Gregorian calendar

The Gregorian calendar is the calendar used in most parts of the world.

See Zeller's congruence and Gregorian calendar

Integer

An integer is the number zero (0), a positive natural number (1, 2, 3,...), or the negation of a positive natural number (−1, −2, −3,...). The negations or additive inverses of the positive natural numbers are referred to as negative integers.

See Zeller's congruence and Integer

ISO week date

The ISO week date system is effectively a leap week calendar system that is part of the ISO 8601 date and time standard issued by the International Organization for Standardization (ISO) since 1988 (last revised in 2019) and, before that, it was defined in ISO (R) 2015 since 1971.

See Zeller's congruence and ISO week date

Julian calendar

The Julian calendar is a solar calendar of 365 days in every year with an additional leap day every fourth year (without exception).

See Zeller's congruence and Julian calendar

Julian day

The Julian day is the continuous count of days since the beginning of the Julian period, and is used primarily by astronomers, and in software for easily calculating elapsed days between two events (e.g. food production date and sell by date). Zeller's congruence and Julian day are calendar algorithms.

See Zeller's congruence and Julian day

Modulo

In computing, the modulo operation returns the remainder or signed remainder of a division, after one number is divided by another (called the modulus of the operation). Zeller's congruence and modulo are Modular arithmetic.

See Zeller's congruence and Modulo

Zero-based numbering

Zero-based numbering is a way of numbering in which the initial element of a sequence is assigned the index 0, rather than the index 1 as is typical in everyday non-mathematical or non-programming circumstances.

See Zeller's congruence and Zero-based numbering

See also

Calendar algorithms

Eponymous algorithms of mathematics

Gregorian calendar

Julian calendar

References

[1] https://en.wikipedia.org/wiki/Zeller's_congruence

Also known as Zeller congruence, Zeller's Algorithm.