We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry and algebraic analysis the...We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry and algebraic analysis the former original iterated map is derived and reinterpreted. Time series, fixed points, stability analysis and convergence schemes are studied and compared for both methods, in the approach of discrete dynamical systems.展开更多
This paper, first prepared and delivered for a workshop on teaching Biblical Wisdom Literature in China, provides me with the opportunity, so to speak, "to kill two birds with one stone." Not only will I com...This paper, first prepared and delivered for a workshop on teaching Biblical Wisdom Literature in China, provides me with the opportunity, so to speak, "to kill two birds with one stone." Not only will I comment on the main theme of展开更多
Today,the concept of built heritage authenticity is a projection screen for conficting demands and thus a'contested field'.Short-sighted readings started to drag the concept behind different il-considered trea...Today,the concept of built heritage authenticity is a projection screen for conficting demands and thus a'contested field'.Short-sighted readings started to drag the concept behind different il-considered treatises,in which some heritage aspects loosely outweighed other aspects.Archaeological perspectives that tend to freeze heritage structures in time,such as those that are privileged upon other contemporary socio-cultural issues,while political takes also overshadowed other epistemological prospects,and vice versa.Repercussions have made inclusion of what is regarded as inevitable changes'within the built context problematic as to the re-interpretation and thus assessment of its authenticity.Despite their possible momentary threat to the latter,these changes may add to the cultural value of the context over time,granting new potential that may instead boost its authenticity.This paper investigates the potential continuity of Erbil Citadel's Babylonian Gate as an inevitable change within the site's built context by studying the Gate's controversial political impacts on the context's authenticity.This study affirms that authenticity is a transcendental value of an open-ended progressive nature,which cannot be reduced to a specific period or properties within the historical chronology of built heritage.Hence,authenticity should be approached as a meaningful existential issue,while revelation of its essence and thus its dimension entails precise scrutiny of both the tangibles and intangibles of the context.However,to be part of its authenticity,any change in the context should be adaptable and possibly incorporated as a new value within its cultural strata,thus enabling progressive support for site authenticity.展开更多
文摘We propose and demonstrate an original geometric argument for the ancient Babylonian square root method, which is analyzed and compared to the Newton-Raphson method. Based on simple geometry and algebraic analysis the former original iterated map is derived and reinterpreted. Time series, fixed points, stability analysis and convergence schemes are studied and compared for both methods, in the approach of discrete dynamical systems.
基金funded by The Israel Science Foundation (ISF) of The Israel Academy of Sciences and Humanities
文摘This paper, first prepared and delivered for a workshop on teaching Biblical Wisdom Literature in China, provides me with the opportunity, so to speak, "to kill two birds with one stone." Not only will I comment on the main theme of
文摘Today,the concept of built heritage authenticity is a projection screen for conficting demands and thus a'contested field'.Short-sighted readings started to drag the concept behind different il-considered treatises,in which some heritage aspects loosely outweighed other aspects.Archaeological perspectives that tend to freeze heritage structures in time,such as those that are privileged upon other contemporary socio-cultural issues,while political takes also overshadowed other epistemological prospects,and vice versa.Repercussions have made inclusion of what is regarded as inevitable changes'within the built context problematic as to the re-interpretation and thus assessment of its authenticity.Despite their possible momentary threat to the latter,these changes may add to the cultural value of the context over time,granting new potential that may instead boost its authenticity.This paper investigates the potential continuity of Erbil Citadel's Babylonian Gate as an inevitable change within the site's built context by studying the Gate's controversial political impacts on the context's authenticity.This study affirms that authenticity is a transcendental value of an open-ended progressive nature,which cannot be reduced to a specific period or properties within the historical chronology of built heritage.Hence,authenticity should be approached as a meaningful existential issue,while revelation of its essence and thus its dimension entails precise scrutiny of both the tangibles and intangibles of the context.However,to be part of its authenticity,any change in the context should be adaptable and possibly incorporated as a new value within its cultural strata,thus enabling progressive support for site authenticity.
