论文标题
民族数量的游览爪哇日历
An ethnoarithmetic excursion into the Javanese calendar
论文作者
论文摘要
永久日历是一个日历,该日历旨在查找给定日期的一周中的一天,使用一致性采用了丰富的算术计算。 Zeller的一致性是一种著名的算法,用于计算任何朱利安或格里高利日历日期的一周中的一天。印度尼西亚的爪哇人中,近四个世纪以来,使用了另一个臭名昭著的永久日历。这个爪哇日历结合了萨卡印度教徒,月球伊斯兰和西部格里高利日历。除了常规的七天,农历月和月球周期外,它还包含为期五天的帕萨兰,35天的韦多南,210天Pawukon,Octo Year Windu和120年的Kurup Cycles。 Javanese日历用于文化和精神目的,包括决定将结与夫妻之间的决定。在本章中,我们将探讨数学与爪哇人文化之间的关系,以及他们如何在日常生活中使用其日历和算术方面。我们还提出了一个前所未有的一致性公式来计算帕萨兰日。我们希望这次游览能够提供一个有见地的想法,可以在数字理论中的教学和学习一致性中采用。
A perpetual calendar, a calendar designed to find out the day of the week for a given date, employs a rich arithmetical calculation using congruence. Zeller's congruence is a well-known algorithm to calculate the day of the week for any Julian or Gregorian calendar date. Another rather infamous perpetual calendar has been used for nearly four centuries among Javanese people in Indonesia. This Javanese calendar combines the Saka Hindu, lunar Islamic, and western Gregorian calendars. In addition to the regular seven-day, lunar month, and lunar year cycles, it also contains five-day pasaran, 35-day wetonan, 210-day pawukon, octo-year windu, and 120-year kurup cycles. The Javanese calendar is used for cultural and spiritual purposes, including a decision to tie the knot among couples. In this chapter, we will explore the relationship between mathematics and the culture of Javanese people and how they use their calendar and the arithmetic aspect of it in their daily lives. We also propose an unprecedented congruence formula to compute the pasaran day. We hope that this excursion provides an insightful idea that can be adopted for teaching and learning of congruence in number theory.