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Halayudha
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{{short description|10th-century Indian mathematician}} {{Use dmy dates|date=March 2017}} {{Use Indian English|date=March 2017}} {{Infobox scholar | name = Halāyudha | fullname = | birth_date = c. 10th century AD | birth_place = | death_date = | death_place = | main_interests = [[Sanskrit]] [[mathematician]] | notable_ideas = | major_works = ''Mṛtasañjīvanī'' and "Halāyudha trikoņa" | influences = | influenced = }} '''Halāyudha''' ([[Sanskrit]]: हलायुध) wrote the '''''{{IAST|Mṛtasañjīvanī}}''''', a [[close reading|commentary]] on [[Pingala]]'s ''Chandaḥśāstra'', was an Indian Mathematician and poet who lived and worked in the 10th century.<ref>Maurice Winternitz, ''History of Indian Literature'', Vol. III</ref> The ''[[Chandaḥśāstra]]'' by the Indian lyricist [[Piṅgala]] (3rd or 2nd century BC) somewhat crypically describes a method of arranging two types of syllables to form [[metre (poetry)|metre]]s of various lengths and counting them; as interpreted and elaborated by [[Halāyudha]] his "method of pyramidal expansion" (''meru-prastāra'') for counting metres is equivalent to [[Pascal's triangle]].<ref>{{Cite book |title=Gaṇitānanda: Selected Works of Radha Charan Gupta on History of Mathematics |last=Ramasubramanian |first=K |date=2019-11-08 |publisher=Springer |year=2019 |isbn=9789811312298}}</ref><ref>{{Cite book |title=A Primer for Mathematics Competitions |last=Gavin Hitchcock |first=Alexander Zawaira |date=2008-10-31 |publisher=Oxford University |year=2008 |isbn=9780191561702}}</ref>
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