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Abu Al-Jud
Abū al-Jūd Muḥammad b. Aḥmad b. al-Layth was an Iranian mathematician. He lived during 10th century and was a contemporary of Al-Biruni. Not much is known about his life. He seems to have lived in the east of Khurasan, within Samanid territory. Sa'id al-Andalusi claimed that he lived in Valencia (Balansiya) and died in 1014 or 1015, but other sources didn't mention these information. It is likely that he became a scribe after acquiring basic knowledge on mathematics. In the 10th century, Abu al-Jud used conics to solve quartic and cubic equations, a century before the more famous work of Omar Khayyam Ghiyāth al-Dīn Abū al-Fatḥ ʿUmar ibn Ibrāhīm Nīsābūrī (18 May 1048 – 4 December 1131), commonly known as Omar Khayyam ( fa, عمر خیّام), was a polymath, known for his contributions to mathematics, astronomy, philosophy, an ..., although his solution did not deal with all the cases. References 10th-century Iranian mathematicians Samanid scholars ...
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Iranian Peoples
The Iranian peoples or Iranic peoples are a diverse grouping of Indo-European peoples who are identified by their usage of the Iranian languages and other cultural similarities. The Proto-Iranians are believed to have emerged as a separate branch of the Indo-Iranians in Central Asia around the mid-2nd millennium BC. At their peak of expansion in the mid-1st millennium BC, the territory of the Iranian peoples stretched across the entire Eurasian Steppe, from the Great Hungarian Plain in the west to the Ordos Plateau in the east and the Iranian Plateau in the south.: "From the first millennium b.c., we have abundant historical, archaeological and linguistic sources for the location of the territory inhabited by the Iranian peoples. In this period the territory of the northern Iranians, they being equestrian nomads, extended over the whole zone of the steppes and the wooded steppes and even the semi-deserts from the Great Hungarian Plain to the Ordos in northern China." ...
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Al-Biruni
Abu Rayhan Muhammad ibn Ahmad al-Biruni (973 – after 1050) commonly known as al-Biruni, was a Khwarazmian Iranian in scholar and polymath during the Islamic Golden Age. He has been called variously the "founder of Indology", "Father of Comparative Religion", "Father of modern geodesy", and the first anthropologist. Al-Biruni was well versed in physics, mathematics, astronomy, and natural sciences, and also distinguished himself as a historian, chronologist, and linguist. He studied almost all the sciences of his day and was rewarded abundantly for his tireless research in many fields of knowledge. Royalty and other powerful elements in society funded Al-Biruni's research and sought him out with specific projects in mind. Influential in his own right, Al-Biruni was himself influenced by the scholars of other nations, such as the Greeks, from whom he took inspiration when he turned to the study of philosophy. A gifted linguist, he was conversant in Khwarezmian, Persian ...
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Khurasan
Greater Khorāsān,Dabeersiaghi, Commentary on Safarnâma-e Nâsir Khusraw, 6th Ed. Tehran, Zavvâr: 1375 (Solar Hijri Calendar) 235–236 or Khorāsān ( pal, Xwarāsān; fa, خراسان ), is a historical eastern region in the Iranian Plateau between Western and Central Asia. The name ''Khorāsān'' is Persian and means "where the sun arrives from" or "the Eastern Province".Sykes, M. (1914). "Khorasan: The Eastern Province of Persia". ''Journal of the Royal Society of Arts'', 62(3196), 279-286.A compound of ''khwar'' (meaning "sun") and ''āsān'' (from ''āyān'', literally meaning "to come" or "coming" or "about to come"). Thus the name ''Khorasan'' (or ''Khorāyān'' ) means "sunrise", viz. "Orient, East"Humbach, Helmut, and Djelani Davari, "Nāmé Xorāsān", Johannes Gutenberg-Universität Mainz; Persian translation by Djelani Davari, published in Iranian Languages Studies Website. MacKenzie, D. (1971). ''A Concise Pahlavi Dictionary'' (p. 95). London: Oxford University ...
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Samanid Empire
The Samanid Empire ( fa, سامانیان, Sāmāniyān) also known as the Samanian Empire, Samanid dynasty, Samanid amirate, or simply as the Samanids) was a Persianate Sunni Muslim empire, of Iranian dehqan origin. The empire was centred in Khorasan and Transoxiana; at its greatest extent encompassing modern-day Afghanistan, huge parts of Iran, Turkmenistan, Uzbekistan, Kyrgyzstan, Tajikistan, and parts of Kazakhstan and Pakistan, from 819 to 999. Four brothers— Nuh, Ahmad, Yahya, and Ilyas—founded the Samanid state. Each of them ruled territory under Abbasid suzerainty. In 892, Ismail Samani (892–907) united the Samanid state under one ruler, thus effectively putting an end to the feudal system used by the Samanids. It was also under him that the Samanids became independent of Abbasid authority. The Samanid Empire is part of the Iranian Intermezzo, which saw the creation of a Persianate culture and identity that brought Iranian speech and traditions into the fold of the ...
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Sa'id Al-Andalusi
Ṣāʿid al-Andalusī (); he was Abū al-Qāsim Ṣāʿid ibn Abū al-Walīd Aḥmad ibn Abd al-Raḥmān ibn Muḥammad ibn Ṣāʿid ibn ʿUthmān al-Taghlibi al-Qūrtūbi () (1029July 6, 1070 AD; 4206 Shawwal, 462 AH); an Arab qadi of Toledo in Muslim Spain, who wrote on the history of science, philosophy and thought. He practised as a mathematical scientist with a special interest in astronomy, and compiled a famous biographic encyclopedia of science that quickly became popular in the empire and the Islamic East. Life Ṣāʿid al-Andalusī was born in Almería in Al-Andalus during the Banu Dhiʼb-n-Nun dynasty and died in Toledo. His Arab origins came from the tribe of Taghlib and his family had fled Cordova to take refuge in Almería during the civil war. His grandfather had been qadi (judge) of Sidonia and his father was qadi of Toledo until his death in 1057 when Ṣāʿid succeeded him. The early biographers Ibn Bashkuwāl, Ibn Umaira al-Dhabbi, Al-Safadi and Ahmed ...
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Conics
In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a special case of the ellipse, though historically it was sometimes called a fourth type. The ancient Greek mathematicians studied conic sections, culminating around 200 BC with Apollonius of Perga's systematic work on their properties. The conic sections in the Euclidean plane have various distinguishing properties, many of which can be used as alternative definitions. One such property defines a non-circular conic to be the set of those points whose distances to some particular point, called a ''focus'', and some particular line, called a ''directrix'', are in a fixed ratio, called the ''eccentricity''. The type of conic is determined by the value of the eccentricity. In analytic geometry, a conic may be defined as a plane algebraic curve o ...
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Quartic Function
In algebra, a quartic function is a function of the form :f(x)=ax^4+bx^3+cx^2+dx+e, where ''a'' is nonzero, which is defined by a polynomial of degree four, called a quartic polynomial. A '' quartic equation'', or equation of the fourth degree, is an equation that equates a quartic polynomial to zero, of the form :ax^4+bx^3+cx^2+dx+e=0 , where . The derivative of a quartic function is a cubic function. Sometimes the term biquadratic is used instead of ''quartic'', but, usually, biquadratic function refers to a quadratic function of a square (or, equivalently, to the function defined by a quartic polynomial without terms of odd degree), having the form :f(x)=ax^4+cx^2+e. Since a quartic function is defined by a polynomial of even degree, it has the same infinite limit when the argument goes to positive or negative infinity. If ''a'' is positive, then the function increases to positive infinity at both ends; and thus the function has a global minimum. Likewise, if ''a'' is ...
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Omar Khayyam
Ghiyāth al-Dīn Abū al-Fatḥ ʿUmar ibn Ibrāhīm Nīsābūrī (18 May 1048 – 4 December 1131), commonly known as Omar Khayyam ( fa, عمر خیّام), was a polymath, known for his contributions to mathematics, astronomy, philosophy, and Persian poetry. He was born in Nishapur, the initial capital of the Seljuk Empire. As a scholar, he was contemporary with the rule of the Seljuk dynasty around the time of the First Crusade. As a mathematician, he is most notable for his work on the classification and solution of cubic equations, where he provided geometric solutions by the intersection of conics. Khayyam also contributed to the understanding of the parallel axiom.Struik, D. (1958). "Omar Khayyam, mathematician". ''The Mathematics Teacher'', 51(4), 280–285. As an astronomer, he calculated the duration of the solar year with remarkable precision and accuracy, and designed the Jalali calendar, a solar calendar with a very precise 33-year intercalation cycle''The Ca ...
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10th-century Iranian Mathematicians
1 (one, unit, unity) is a number representing a single or the only entity. 1 is also a numerical digit and represents a single unit of counting or measurement. For example, a line segment of ''unit length'' is a line segment of length 1. In conventions of sign where zero is considered neither positive nor negative, 1 is the first and smallest positive integer. It is also sometimes considered the first of the infinite sequence of natural numbers, followed by  2, although by other definitions 1 is the second natural number, following  0. The fundamental mathematical property of 1 is to be a multiplicative identity, meaning that any number multiplied by 1 equals the same number. Most if not all properties of 1 can be deduced from this. In advanced mathematics, a multiplicative identity is often denoted 1, even if it is not a number. 1 is by convention not considered a prime number; this was not universally accepted until the mid-20th century. Additionally, 1 is the ...
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