Naburimannu
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Nabu- ri-man-nu (also spelled ''Nabu-rimanni''; Greek sources called him Ναβουριανός, ''Nabourianos'', Latin ''Naburianus'') ( fl. c. 6th – 3rd century BC) was a Chaldean astronomer and
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
. Classical and ancient
cuneiform Cuneiform is a logo-syllabic script that was used to write several languages of the Ancient Middle East. The script was in active use from the early Bronze Age until the beginning of the Common Era. It is named for the characteristic wedge-sh ...
sources mention an astronomer with this name: * The Greek geographer Strabo of Amaseia, in ''Geography'' 16.1–.6, writes: "In Babylon a settlement is set apart for the local philosophers, the Chaldaeans, as they are called, who are concerned mostly with
astronomy Astronomy () is a natural science that studies celestial objects and phenomena. It uses mathematics, physics, and chemistry in order to explain their origin and evolution. Objects of interest include planets, moons, stars, nebulae, g ...
; but some of these, who are not approved of by the others, profess to be writers of horoscopes. (There is also a tribe of the Chaldaeans, and a territory inhabited by them, in the neighborhood of the
Arabs The Arabs (singular: Arab; singular ar, عَرَبِيٌّ, DIN 31635: , , plural ar, عَرَب, DIN 31635: , Arabic pronunciation: ), also known as the Arab people, are an ethnic group mainly inhabiting the Arab world in Western Asia, ...
and of the
Persian Gulf The Persian Gulf ( fa, خلیج فارس, translit=xalij-e fârs, lit=Gulf of Fars, ), sometimes called the ( ar, اَلْخَلِيْجُ ٱلْعَرَبِيُّ, Al-Khalīj al-ˁArabī), is a mediterranean sea in Western Asia. The bod ...
, as it is called.) There are also several tribes of the Chaldaean astronomers. For example, some are called Orcheni hose_from_Uruk.html" ;"title="Uruk.html" ;"title="hose from Uruk">hose from Uruk">Uruk.html" ;"title="hose from Uruk">hose from Uruk others Borsippeni [those from Borsippa], and several others by different names, as though divided into different sects which hold to various dogmas about the same subjects. And the mathematicians make mention of some of these men; as, for example, Kidenas, Nabourianos and Soudines". * The damaged colophon of a cuneiform clay tablet (VAT 209; see ACT 18) with a Babylonian System A lunar ephemeris for the years 49–48 BC states that it is the ersit of Nabu- iman-nu. This is similar to the colophons of two System B clay tablets that say that they are the ''tersitu'' of Kidinnu. The following is an excerpt of a century of scholarship discussed in the sources referenced below. The meaning of ''tersitu'' is not known definitively. Already
Franz Xaver Kugler Franz Xaver Kugler (27 November 1862 – 25 January 1929) was a German chemist, mathematician, Assyriologist, and Jesuit priest.. Kugler was born in Königsbach, Palatinate, then part of the Kingdom of Bavaria. He earned a Ph.D. in chemist ...
proposed that ''tersitu'' can be interpreted as "table" here; in another context it seems to mean something like "tool", but in yet another the word refers to a blue enamel paste. P. Schnabel, in a series of papers (1923–1927), interpreted the phrase as an assignment of authorship. Based on this, he argued that Naburimannu developed the Babylonian System A of calculating
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ephemerides, and that Kidinnu later developed Babylonian System B. Otto E. Neugebauer has remained reserved to this conclusion and disputed Schnabel's further inferences about Naburimannu's life and work. The mathematician B.L. van der Waerden later (1963, 1968, 1974) concluded that System A was developed during the reign of Darius I (521–485 BC). System A, which uses
step function In mathematics, a function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals. Informally speaking, a step function is a piecewise constant function having onl ...
s, appears to be somewhat more primitive than System B, which uses
zigzag A zigzag is a pattern made up of small corners at variable angles, though constant within the zigzag, tracing a path between two parallel lines; it can be described as both jagged and fairly regular. In geometry, this pattern is described as ...
linear function In mathematics, the term linear function refers to two distinct but related notions: * In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. For dist ...
s, although System A is more consistent than System B. While it thus appears that System A preceded System B, both systems remained in use at least until the 1st century BC. The earliest preserved System A clay tablets (BM 36651, 36719, 37032, 37053) calculate an ephemeris for the
planet A planet is a large, rounded astronomical body that is neither a star nor its remnant. The best available theory of planet formation is the nebular hypothesis, which posits that an interstellar cloud collapses out of a nebula to create a you ...
Mercury from 424 to 401 BC. The oldest preserved lunar tablets date from 306 BC in the
Hellenistic In Classical antiquity, the Hellenistic period covers the time in Mediterranean history after Classical Greece, between the death of Alexander the Great in 323 BC and the emergence of the Roman Empire, as signified by the Battle of Actium in ...
period. If Naburimannu was the originator of System A, then we can on that basis place him in Babylonia sometime between the Persian and Macedonian conquests.


References

*Otto E. Neugebauer: ''A History of Ancient Mathematical Astronomy'' Part Two IV A 4, 4A (p. 611). Springer, Heidelberg 1975 (reprinted 2004). *Otto E. Neugebauer: ''Astronomical Cuneiform Texts''. 3 volumes. London: 1956; 2nd edition, New York: Springer, 1983. (Commonly abbreviated as ''ACT''): Vol.I pp. 12,13 *Herman Hunger and David Pingree: ''Astral Sciences in Mesopotamia'' pp. 215–217, 224, 258, 264. Brill, Leiden 1999.


External links


A. Braeken, V. Nikov, and S. Nikova, "Zigzag Functions and Related Objects in New Metric"


(defines and discusses zig-zag functions) Babylonian astronomers People from the Achaemenid Empire 6th-century BC people