81. Brahmagupta Polynomial brahmagupta Polynomial. One of the Polynomials obtained by taking Powers of thebrahmagupta Matrix. (3). (4). The brahmagupta Polynomials satisfy, (5). (6). http://icl.pku.edu.cn/yujs/MathWorld/math/b/b364.htm

Brahmagupta Polynomial One of the Polynomials obtained by taking Powers of the Brahmagupta Matrix . They satisfy the recurrence relation A list of many others is given by Suryanarayan (1996). Explicitly, The Brahmagupta Polynomials satisfy The first few Polynomials are and Taking and gives equal to the Pell Numbers and equal to half the Pell-Lucas numbers. The Brahmagupta Polynomials are related to the Morgan-Voyce Polynomials , but the relationship given by Suryanarayan (1996) is incorrect. References Suryanarayan, E. R. ``The Brahmagupta Polynomials.'' Fib. Quart. Eric W. Weisstein

82. Apronyms: BRAHMAGUPTA Really Organizing Naturally Your Memory Skills! APRONYM. 92%, brahmagupta,Brilliant Reasoning in Astronomy, Helped Mathematics And Geometry. http://apronyms.com/gonym.php?ap=BRAHMAGUPTA

83. Brahmagupta - Wikipédia Encyclopedia4U brahmagupta - Encyclopedia Articlebrahmagupta. brahmagupta (598-668) was an Indian mathematician and astronomer. Ituses material from the Wikipedia article brahmagupta . http://fr.wikipedia.org/wiki/Brahmagupta

Brahmagupta Un article de Wikip©dia, l'encyclop©de libre. Brahmagupta (Mult¢n, ) est un math©maticien indien Brahmagupta est l'un des plus importants math©maticiens tant de l'Inde que de son ©poque. On lui conna®t deux ouvrages majeurs : le Br¢hma Siddh¢nta ) et le Khandakh¢dyaka Il dirige l'observatoire astronomique d' Ujja¯n , ville qui est au VIIe si¨cle un centre majeur de recherches en math©matique. C'est dans son premier ouvrage qu'il d©finit le z©ro comme r©sultat de la soustraction d'un nombre par lui-mªme, qu'il d©crit les r©sultats d'op©rations avec ce nouveau nombre - mais se trompe en donnant comme r©sultat z©ro   0/0, ainsi que la r¨gle des signes lors d'op©rations entre entiers relatifs (profits et pertes). Il donne aussi dans cet ouvrage la solution de l' ©quation g©n©rale de degr© 2 Brahmagupta fut le premier math©maticien   utiliser l'alg¨bre pour r©soudre des probl¨mes astronomiques. Il proposa comme dur©e de l'ann©e : 365 jours, 6 heures, 5 minutes, et 19 secondes. Views Article Discussion Historique Outils personels Identification Navigation Accueil Accueil communaut© Actualit©s Modifications r©centes ... Participer en faisant un don Rechercher Bo®te   outils Pages li©es Suivi des liens Pages sp©ciales Autres langues English Derni¨re modification de cette page : 22 d©c 2003   00:30.

84. TITUS Texts: Brahmagupta, Brahmasphutasiddhanta TITUS brahmagupta, Brahmasphutasiddhanta Part No. 2. Chapter 18. at?akuakaad?yayas. Verse 1a. praye?a yatas prasnas http://titus.uni-frankfurt.de/texte/etcs/ind/aind/klskt/mathemat/brsphsd/brsph00

TITUS Brahmagupta, Brahmasphutasiddhanta: Part No. 2 Chapter: 18 [atÊ°a kuá¹­á¹­aka-adÊ°yāyas] Verse: 1a prāyeṇa yatas praśnās kuṭṭākārāt rÌ¥te na śakyante / Verse: 1c j±Ätum vaká¹£yāmi tatas kuṭṭākāram saha praśnais // Verse: 2a kuá¹­á¹­aka-Ê°kÊ°a-r̥ṇa-dÊ°ana-avyakta-madÊ°ya-haraṇa-ՙeka-varṇa-bʰāvitakais / Verse: 2c ācāryas tantra-vidām j±Ätais varga-prakrÌ¥tyā ca // [kuá¹­á¹­akam] Verse: 3a adÊ°ika-agra-bʰāga-hārāt Å«na-agra-cÊ°eda-bʰājitāt śeá¹£am / Verse: 3c yat tat paraspara-hrÌ¥tam labdÊ°am adÊ°as adÊ°as prÌ¥tÊ°ak stʰāpyam // Verse: 4a śeá¹£am tatʰā iṣṭa-guṇitam yatʰā agrayos antareṇa saṃyuktam / Verse: 4c śudÊ°yati guṇakas stʰāpyas labdÊ°am ca antyāt upāntya-guṇas // Verse: 5a sva-Å«rdÊ°vas antya-yutas agra-antas hÄ«na-agra-cÊ°eda-bʰājitas śeá¹£am / Verse: 5c adÊ°ika-agra-cÊ°eda-hatam adÊ°ika-agra-yutam bÊ°avati agram // Verse: 6a cÊ°eda-vadÊ°asya ՙdvi-yugam cÊ°eda-vadÊ°as yuga-gatam ՙdvayos agram / Verse: 6c kuṭṭākāreṇa evam ՙtri-ādi-graha-yuga-gata-ānayanam // Verse: 7a bÊ°a-gaṇa-ādi-śeá¹£am agram cÊ°eda-hrÌ¥tam Ê°kÊ°am ca dina-ja-śeá¹£a-hrÌ¥tam / Verse: 7c anayos agram bÊ°a-gaṇa-ādi-dina-ja-śeá¹£a-uddÊ°rÌ¥tam dyu-gaṇas // [Cb.8]

85. TITUS Texts: Brahmagupta, Aryabhatiya TITUS brahmagupta, Aryabhatiya Part No. 2. Chapter 2. ga?itapada.Verse 1a. brahma-ku-sasi-bud?a-b?r?gu-ravi-kuja-guru-ko?a http://titus.uni-frankfurt.de/texte/etcs/ind/aind/klskt/mathemat/aryabhat/aryab0

TITUS Brahmagupta, Aryabhatiya: Part No. 2 Chapter: 2 gaṇita-pāda Verse: 1a brahma-ku-śaśi-budÊ°a-bÊ°rÌ¥gu-ravi-kuja-guru-koṇa-bÊ°a-gaṇān @namas-krÌ¥tya / Verse: 1c āryabÊ°aá¹­as tu iha @nigadati kusuma-pure abÊ°yarcitam j±Änam // Verse: 2a ՙekam ՙdaśa ca ՙśatam ca ՙsahasram ՙayuta-ՙniyute tatʰā ՙprayutam / Verse: 2c ՙkoá¹­i-ՙarbudam ca ՙvrÌ¥ndam stʰānāt stʰānam ՙdaśa-guṇam @syāt // Verse: 3a vargas sama-ՙcatur-aśras pÊ°alam ca sadr̥śa-ՙdvayasya saṃvargas / Verse: 3c sadr̥śa-ՙtraya-saṃvargas gÊ°anas tatʰā ՙdvādaśa-aśris @syāt // Verse: 4a bʰāgam @haret avargān nityam ՙdvi-guṇena varga-mÅ«lena / Verse: 4c vargāt varge śuddÊ°e labdÊ°am stʰāna-antare mÅ«lam // Verse: 5a agÊ°anāt @bÊ°ajet ՙdvitÄ«yāt ՙtri-guṇena gÊ°anasya mÅ«la-vargeṇa / Verse: 5c vargas ՙtri-pÅ«rva-guṇitas śodÊ°yas ՙpratÊ°amāt gÊ°anas ca gÊ°anāt // Verse: 6a ՙtri-bÊ°ujasya pÊ°ala-śarÄ«ram sama-Ê°dala-koá¹­Ä«-bÊ°ujā-ՙardÊ°a-saṃvargas / Verse: 6c Å«rdÊ°va-bÊ°ujā-tad-saṃvarga-ՙardÊ°am sas gÊ°anas ՙṣaá¹£-aśris iti // Verse: 7a sama-pariṇāhasya-ՙardÊ°am viá¹£kambÊ°a-ՙardÊ°a-hatam eva vrÌ¥tta-pÊ°alam / Verse: 7c tad-nija-mÅ«lena hatam gÊ°ana-gola-pÊ°alam niravaśeá¹£am // Verse: 8a āyāma-guṇe pārśve tad-yoga-hrÌ¥te sva-pāta-lekÊ°e / Verse: 8c vistara-yoga-ՙardÊ°a-guṇe j±eyam ká¹£etra-pÊ°alam āyāme // Verse: 9a sarveṣām ká¹£etrāṇām @prasādÊ°ya pārśve pÊ°alam tad-abÊ°yāsas / Verse: 9c paridÊ°es ՙṣaá¹£-bʰāga-jyā viá¹£kambÊ°a-ՙardÊ°ena sā tulyā //

86. October 26,1996 brahmagupta Polynomials in two parametersUniversity of Hong Kong Conference on Special. 3,May 1996. Properties of the brahmagupta Matrix, Int. Journal ofMath. http://www.math.uri.edu/~sury/

E.R. Suryanarayan Selected Publications Pythagorean Boxes (with R.A. Beauregard), Mathematics Magazine June, 2001 S-P-2 primes (with R.A. Beauregard), The Mathematical Gazette March, 2001 Arithmetic Triangles and Bhaskara Equation (with R.A. Beauregard), College Mathematics Journal ,March, 2000. Integral Triangles (with R.A. Beauregard), Mathematics Magazine (October 2000). Brahmagupta Polynomials in two parameters University of Hong Kong Conference on Special Functions, June 21, 1999 (with Rangarajan) The Brahmagupta Polynomials in two complex variables, The Fibonacci Quarterly (Feb. 1998, p. 34-42). This paper was presented at the Seventh International Conference on the Fibonacci Numbers and their Applications held in Graz, Austria, July 1996. The Brahmagupta Triangles, (with R.A. Beauregard) College Mathematics Journal, January 1998 Parametric Representation of Primitive Pythagorean Triples (with R.A. Beauregard), The Mathematics Magazine, Vol. 169, No. 3, June 1996. Pythagorean Triples: The Hyperbolic View (Cover and Article), (with R. A. Beauregard), The College Math Journal, Vol. 27, No. 3, May 1996.

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