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Yamin-ud-Dawla Abul-Qasim Mahmud ibn Sebuktegin, more commonly known as Mahmud of Ghazni (2 November 971 CE – 30 April 1030 CE), also known as Mahmūd-i Zābulī, was the most prominent ruler of the Ghaznavid Empire. He conquered the eastern Iranian lands and the northwestern Indian subcontinent (modern Afghanistan and Pakistan) between 997 and his death in 1030. Mahmud turned the former provincial city of Ghazni into the wealthy capital of an extensive empire which covered most of today's Afghanistan, eastern Iran, and Pakistan.<br/><br/>

Al-Qadir (947 – 29 November 1031) was the Abbasid Caliph in Baghdad from 991 to 1031.
Abū ʿAbdallāh Muḥammad ibn Mūsā al-Khwārizmī, earlier transliterated as Algoritmi or Algaurizin, (c. 780 – c. 850) was a Persian mathematician, astronomer and geographer, a scholar in the House of Wisdom in Baghdad.<br/><br/>

In the twelfth century, Latin translations of his work on the Indian numerals, introduced the decimal positional number system to the Western world. His Compendious Book on Calculation by Completion and Balancing presented the first systematic solution of linear and quadratic equations in Arabic. In Renaissance Europe, he was considered the original inventor of algebra, although we now know that his work is based on older Indian or Greek sources. He revised Ptolemy's Geography and wrote on astronomy and astrology.<br/><br/>

Some words reflect the importance of al-Khwarizmi's contributions to mathematics. 'Algebra' is derived from al-jabr, one of the two operations he used to solve quadratic equations. Algorism and algorithm stem from Algoritmi, the Latin form of his name.
Miniature painting from an illuminated manuscript page (c. 1250) of the Abbasid period, depicting a fanciful representation of the archer associated with Sagittarius positioned between the moon and Jupiter, reflects the interest in astrological science that thrived In Islamic civilization from the 8th to the 13th century.<br/><br/> 

Scientific treatises constituted a large part of the manuscript tradition of the Abbasid period.
John VII Grammatikos or Grammaticus, i.e., 'the Grammarian' (Greek: Ιωάννης Ζ΄ Γραμματικός, Iōannēs VII Grammatikos), Ecumenical Patriarch of Constantinople from January 21, 837 to March 4, 843, died before 867.<br/><br/>

John was renowned for his learning (hence the nickname Grammatikos), and for his persuasive rhetoric in the endless debates that are a favorite subject of hagiographic sources reflecting the second period of Iconoclasm. John was also charged with tutoring the future Emperor Theophilos during the reign of his father Michael II, and is credited with instilling strong Iconoclast sympathies in his student. On the accession of Theophilos, John was appointed synkellos (patriarch's assistant), a position that made him a likely heir to the patriarchate.<br/><br/>

In c. 830, John was dispatched on an embassy to the Caliph al-Ma'mun, but this did little to prevent a period of fierce warfare between the Byzantine Empire and the Abbasids. He did, however, bring back a plan of the Abbasid palace at Baghdad for the amusement of his emperor and supervised the building of a similar structure in Bithynia.<br/><br/>

The circumstances of John VII's patriarchate are obscure. He was appointed patriarch by his student Theophilos and may have been responsible for the slight intensification of the persecution of Iconodules. He was deposed by Theophilos' widow Theodora (his own relative) as a preliminary towards the ending of Iconoclasm in 843. The deposed patriarch survived into the 860s.
Abū ʿAbdallāh Muḥammad ibn Mūsā al-Khwārizmī, earlier transliterated as Algoritmi or Algaurizin, (c. 780 – c. 850) was a Persian mathematician, astronomer and geographer, a scholar in the House of Wisdom in Baghdad.<br/><br/>

In the twelfth century, Latin translations of his work on the Indian numerals, introduced the decimal positional number system to the Western world. His Compendious Book on Calculation by Completion and Balancing presented the first systematic solution of linear and quadratic equations in Arabic. In Renaissance Europe, he was considered the original inventor of algebra, although we now know that his work is based on older Indian or Greek sources. He revised Ptolemy's Geography and wrote on astronomy and astrology.<br/><br/>

Some words reflect the importance of al-Khwarizmi's contributions to mathematics. 'Algebra' is derived from al-jabr, one of the two operations he used to solve quadratic equations. Algorism and algorithm stem from Algoritmi, the Latin form of his name.
Abū Ma'shar, Ja'far ibn Muḥammad al-Balkhī (also known as al-Falakī or Ibn Balkhī, Latinized as Albumasar, Albusar, or Albuxar) (10 August 787 in Balkh, Khurasan – 9 March 886 in Wāsiṭ, Iraq), was a Persian astrologer, astronomer, and Islamic philosopher, thought to be the greatest astrologer of the Abbasid court in Baghdad.<br/><br/>

He was not a major innovator, and his works are practical books for training of astrologers; even as an astrologer he was not intellectually rigorous. Nevertheless, he wrote a number of practical manuals on astrology that profoundly influenced Muslim intellectual history and, through translations, that of western Europe and Byzantium.
Abu Mūsā Jābir ibn Hayyān (al-Azdi / al-Kufi / al-Tusi / al-Sufi), often known simply as Geber, (Persian/Arabic: جابر بن حیان) (born c. 721 in Tus, Persia; died c. 815 in Kufa, Iraq) was a prominent polymath: a chemist and alchemist, astronomer and astrologer, engineer, geologist, philosopher, physicist, and pharmacist and physician. Born and educated in Tus, he later traveled to Kufa. Jābir is held to be the first practical alchemist.<br/><br/>

As early as the 10th century, the identity and exact corpus of works of Jābir was in dispute in Islamic circles. His name was Latinized as 'Geber' in the Christian West and in 13th century Europe an anonymous writer, usually referred to as Pseudo-Geber, produced alchemical and metallurgical writings under the pen-name Geber.
The Shahi (Devanagari: शाही), also called Shahiya dynasties ruled one of the middle kingdoms of India which included portions of the Kabulistan and the old province of Gandhara (now in northern Pakistan), from the decline of the Kushan Empire in the 3rd century to the early 9th century.<br/><br/>

The kingdom was known as 'Kabul Shahi' (Kabul-shāhān or Ratbél-shāhān in Persian کابلشاهان یا رتبیل شاهان) between 565 and 879 CE when they had Kapisa and Kabul as their capitals, and later as Hindu Shahi.<br/><br/>

The Shahis of Kabul / Gandhara are generally divided into the two eras of the so-called Buddhist-Shahis and the so-called Hindu-Shahis, with the change-over thought to have occurred sometime around 870 CE.