Fast algorithms: a multitape Turing machine implementation by Arnold Schonhage

By Arnold Schonhage

Schoenhage A., et al. quickly algorithms.. a multitape Turing laptop implementation (B.I. Wissenschaftsverlag, 1994)(ISBN 3411168919)(1s)_CsAl_

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Successful conclaves of one or a few days have become normal since then, including in 2006. For the rules of conclave see the authorities cited by Colomer and McLean 1998, p. 14. 4 Practice: Monastic Orders Monastic orders faced the same problem as the papacy. They were not directly subject to papal control at all times, and were required to choose their own leaders and secure an unbroken succession whenever a leader died. The papal bull Exiit qui seminat, promulgated by Pope Nicholas III in 1279, contains provisions for the Franciscan order that illustrates just how reliant on self-determination and tradition the succession issue could be.

A Cusanus; 1401-64) made contributions which had been believed to be centuries more recent. Llull promotes the method of pairwise comparison, and proposes the Copeland rule to select a winner. Cusanus proposes the Borda rule, which should properly be renamed the Cusanus rule. Voting might be needed in any institution ruled by more than one person, where decisions could not simply be handed down from above. Medieval theologians no doubt believed that God’s word was handed down from above; but they well knew that they often had to decide among rival human interpretations of it.

Cusanus's De concordantia catholica was written while he was attending the Council of Basel, which opened in 1431; Cusanus was an active member from 1432 to 1434. De concordantia catholica defends the rights of councils to elect popes, and it discusses voting procedures for electing a Holy Roman Emperor in chapters 36 I. McLean, H. Lorrey, and J. Colomer 36 to 38 of Book III. Cusanus first discusses the need to prevent practicas absurdissimas et inhonestissimas (the most absurd and dishonest practices) and notes that because particular electors come from particular districts, turpiter foedatae electiones per iniustas pactiones fieri dicuntur (elections are said to be disgracefully rigged by means of unjust pacts) (McLean and Urken 1995, pp.

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