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...(Chapter titled "Ācārya Jayadeva, the mathematician". Originally published in Ganita, Vol. 5, No. 1 (1954), pp. 1–20.)</ref> ...begins by assuming that <math> xy+1=(2y+1)^2 </math> which can be written in the form <math>x-y=3y+4 </math>. He next assumes that <math> 3y+4 = (3z+2) ...

{{Short description|16th century Sanskrit treatise on astronomy}} ...divided into sixteen chapters and covers all the commonly discussed topics in such texts including planetary positions, timekeeping and calendar constru ...

...in the [[Bakhshali manuscript]], a document believed to have been composed in the early centuries of the Common Era.<ref name="Datta1"/> ...a of a different denomination. It is also assumed that ''phala'' increases in proportion to ''pramāṇa''. The unknown quantity is called ''icchā-phala'', ...

...last=Meijering|first=Erik|title=A Chronology of Interpolation From Ancient Astronomy to Modern Signal and Image Processing|journal=Proceedings of the IEEE|date= ...ta-bhogyakhanda''. The description of ''sphuta-bhogyakhanda'' is contained in the following Sanskrit couplet (''Dhyana-Graha-Upadesa-Adhyaya, 17; Khandak ...

...Sangamagrama]] (c. 1340 – c. 1425), the founder of the [[Kerala school of astronomy and mathematics]], that can be used to give a better approximation to the v In the extant writings of the mathematicians of the Kerala school there are so ...

...g certain other letters as valueless, this system provides the flexibility in forming meaningful words out of numbers which can be easily remembered. ...Sanskrit: कटपयादि) system is from ''Grahacāraṇibandhana'' by [[Haridatta]] in 683 [[Common Era|CE]].<ref name="astro">Sreeramamula Rajeswara Sarma, THE ' ...

...ne approximation formula''' is a [[rational fraction|rational expression]] in one [[Variable (mathematics)|variable]] for the [[computation]] of the [[ap This [[formula]] is given in his treatise titled ''Mahabhaskariya''. It is not known how Bhāskara I arri ...

...tronomy]] and [[Indian mathematics|mathematics]] of the [[Kerala school of astronomy and mathematics|Kerala school]]. He was responsible for bringing to light s ...tradition".<ref name=kch1>K. Chandra Hari (25 Oct 2007) [http://www.ias.ac.in/currsci/oct252007/1177.pdf Critical Evidence to Fix the Native Place of Āry ...

...ficance in astronomy|other definitions, including a description of a month in the calendars of different cultures around the world|month}} ...endar]]s, a '''lunar month''' is the time between two successive [[Syzygy (astronomy)|syzygies]] of the same type: [[new moon]]s or [[full moon]]s. The precise ...

...multiplied by a selected radius and given as an integer. In this table, as in [[Aryabhata's sine table|Aryabhata's earlier table]], ''R'' is taken as 216 The table is [[character encoding|encoded]] in the letters of the [[Sanskrit]] alphabet using the [[Katapayadi system]], g ...

{{Short description|Mathematical series in trigonometry}} ...ta|1987}}; {{harvnb|Katz|1995}}; {{harvnb|Roy|2021|loc=Ch. 1. Power Series in Fifteenth-Century Kerala, pp.&nbsp;1–22}}</ref> Using modern notation, thes ...

{{Short description|Notable events in the history of geometry}} ...he other [[Vedic civilization|Vedic]] "[[Sulba Sutras]]" ("rule of chords" in [[Sanskrit]]) use [[Pythagorean triples]], contain a number of geometrical ...

...cations. Currently, over 18 fully operational amateur radio satellites are in orbit.<ref>{{Cite web|url=http://www.amsat.org/status/|title=AMSAT OSCAR Sa ...n actively involved in the launch and operation of most amateur satellites in the last two decades beyond allocating an OSCAR number. ...

{{Short description|Medieval kingdom in southwest India}} | url= http://lsi.gov.in:8081/jspui/bitstream/123456789/5665/1/22059_1961_KOZ.pdf ...

In mathematics, the '''arctangent series''', traditionally called '''Gregory's This [[convergent series|series converges]] in the [[complex number|complex]] disk <math>|x| \leq 1,</math> except for <ma ...

...William Airey, a [[stone mason]], and Elizabeth Airey, who were both born in Preston under Scar, North Yorkshire. He was the oldest from four siblings, ...re College, the college did not award its own degrees.}} which was awarded in 1894.<ref name="Nature, Obit" /> ...

...Ptolemy's table of chords|calculation of chords]], while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also ...: with its application to navigation and surveying, nautical and practical astronomy and geodesy, with logarithmic, trigonometrical, and nautical tables|url=htt ...

...am]], [[Early Islamic philosophy|Islamic Philosophy]], [[Islamic astronomy|Astronomy]], [[Islamic mathematics|Mathematics]], [[Islamic medicine|Biology and Medi ...turlabiyah'', ''Al-Tadhkirah fi 'Ilm al-Hay'ah'' (Memoir on the Science of Astronomy) ...

...lain, and predict [[List of natural phenomena|natural phenomena]]. This is in contrast to [[experimental physics]], which uses experimental tools to prob ...eoretical formulation.<ref name="Ref_s">{{cite web|title = The Nobel Prize in Physics 1921|publisher =The [[Nobel Foundation]]|url = http://nobelprize.or ...

...ty (mathematics)|incommensurable]]'', meaning that they share no "measure" in common, that is, there is no length ("the measure"), no matter how short, t ...mbers]. by [[Clifford A. Pickover]]. URL retrieved 24 October 2007.</ref> In fact, all square roots of [[natural number]]s, other than of [[square numbe ...