Question: Under the Arab Empire, what subject was studied in the city that was the capital of the Abbasid state?

full_context: Document 1: Muslim world: The Islamic Golden Age coincided with the Middle Ages in the Muslim world, starting with the rise of Islam and establishment of the first Islamic state in 622. The end of the age is variously given as 1258 with the Mongolian Sack of Baghdad, or 1492 with the completion of the Christian Reconquista of the Emirate of Granada in Al-Andalus, Iberian Peninsula. During the reign of the Abbasid caliph Harun ar-Rashid (786 to 809), the legendary House of Wisdom was inaugurated in Baghdad where scholars from various parts of the world sought to translate and gather all the known world's knowledge into Arabic. The Abbasids were influenced by the Quranic injunctions and hadiths, such as "the ink of a scholar is more holy than the blood of a martyr," that stressed the value of knowledge. The major Islamic capital cities of Baghdad, Cairo, and Córdoba became the main intellectual centers for science, philosophy, medicine, and education. During this period, the Muslim world was a collection of cultures; they drew together and advanced the knowledge gained from the ancient Greek, Roman, Persian, Chinese, Indian, Egyptian, and Phoenician civilizations.
Document 2: History of science: In mathematics, the Persian mathematician Muhammad ibn Musa al-Khwarizmi gave his name to the concept of the algorithm, while the term algebra is derived from al-jabr, the beginning of the title of one of his publications. What is now known as Arabic numerals originally came from India, but Muslim mathematicians did make several refinements to the number system, such as the introduction of decimal point notation. Sabian mathematician Al-Battani (850-929) contributed to astronomy and mathematics, while Persian scholar Al-Razi contributed to chemistry and medicine.
Document 3: Jericho: Umayyad rule ended in 750 and was followed by the Arab caliphates of the Abbasid and Fatimid dynasties. Irrigated agriculture was developed under Islamic rule, reaffirming Jericho's reputation as a fertile "City of the Palms". Al-Maqdisi, the Arab geographer, wrote in 985 that "the water of Jericho is held to be the highest and best in all Islam. Bananas are plentiful, also dates and flowers of fragrant odor". Jericho is also referred to by him as one of the principal cities of Jund Filastin.The city flourished until 1071 with the invasion of the Seljuk Turks, followed by the upheavals of the Crusades.
Document 4: Middle Ages: Depopulation, deurbanisation, invasion, and movement of peoples, which had begun in Late Antiquity, continued in the Early Middle Ages. The barbarian invaders, including various Germanic peoples, formed new kingdoms in what remained of the Western Roman Empire. In the 7th century, North Africa and the Middle East—once part of the Eastern Roman Empire—came under the rule of the Caliphate, an Islamic empire, after conquest by Muhammad's successors. Although there were substantial changes in society and political structures, the break with Antiquity was not complete. The still-sizeable Byzantine Empire survived in the east and remained a major power. The empire's law code, the Code of Justinian, was rediscovered in Northern Italy in 1070 and became widely admired later in the Middle Ages. In the West, most kingdoms incorporated the few extant Roman institutions. Monasteries were founded as campaigns to Christianise pagan Europe continued. The Franks, under the Carolingian dynasty, briefly established the Carolingian Empire during the later 8th and early 9th century. It covered much of Western Europe, but later succumbed to the pressures of internal civil wars combined with external invasions—Vikings from the north, Magyars from the east, and Saracens from the south.
Document 5: Middle Ages: The migrations and invasions of the 4th and 5th centuries disrupted trade networks around the Mediterranean. African goods stopped being imported into Europe, first disappearing from the interior and by the 7th century found only in a few cities such as Rome or Naples. By the end of the 7th century, under the impact of the Muslim conquests, African products were no longer found in Western Europe. The replacement of goods from long-range trade with local products was a trend throughout the old Roman lands that happened in the Early Middle Ages. This was especially marked in the lands that did not lie on the Mediterranean, such as northern Gaul or Britain. Non-local goods appearing in the archaeological record are usually luxury goods. In the northern parts of Europe, not only were the trade networks local, but the goods carried were simple, with little pottery or other complex products. Around the Mediterranean, pottery remained prevalent and appears to have been traded over medium-range networks, not just produced locally.
Document 6: Middle Ages: Religious beliefs in the Eastern Empire and Iran were in flux during the late sixth and early seventh centuries. Judaism was an active proselytising faith, and at least one Arab political leader converted to it. Christianity had active missions competing with the Persians' Zoroastrianism in seeking converts, especially among residents of the Arabian Peninsula. All these strands came together with the emergence of Islam in Arabia during the lifetime of Muhammad (d. 632). After his death, Islamic forces conquered much of the Eastern Empire and Persia, starting with Syria in 634–635 and reaching Egypt in 640–641, Persia between 637 and 642, North Africa in the later seventh century, and the Iberian Peninsula in 711. By 714, Islamic forces controlled much of the peninsula in a region they called Al-Andalus.The Islamic conquests reached their peak in the mid-eighth century. The defeat of Muslim forces at the Battle of Tours in 732 led to the reconquest of southern France by the Franks, but the main reason for the halt of Islamic growth in Europe was the overthrow of the Umayyad Caliphate and its replacement by the Abbasid Caliphate. The Abbasids moved their capital to Baghdad and were more concerned with the Middle East than Europe, losing control of sections of the Muslim lands. Umayyad descendants took over the Iberian Peninsula, the Aghlabids controlled North Africa, and the Tulunids became rulers of Egypt. By the middle of the 8th century, new trading patterns were emerging in the Mediterranean; trade between the Franks and the Arabs replaced the old Roman economy. Franks traded timber, furs, swords and slaves in return for silks and other fabrics, spices, and precious metals from the Arabs.
Document 7: Middle Ages: The Islamic conquests reached their peak in the mid-8th century. The defeat of Muslim forces at the Battle of Poitiers in 732 led to the reconquest of southern France by the Franks, but the main reason for the halt of Islamic growth in Europe was the overthrow of the Umayyad dynasty and its replacement by the Abbasid dynasty. The Abbasids moved their capital to Baghdad and were more concerned with the Middle East than Europe, losing control of sections of the Muslim lands. Umayyad descendants took over the Iberian Peninsula, the Aghlabids controlled North Africa, and the Tulunids became rulers of Egypt. By the middle of the 8th century, new trading patterns were emerging in the Mediterranean; trade between the Franks and the Arabs replaced the old Roman patterns of trade. Franks traded timber, furs, swords and slaves in return for silks and other fabrics, spices, and precious metals from the Arabs.
Document 8: Mesopotamia: Mesopotamia is a historical region in West Asia situated within the Tigris -- Euphrates river system, in modern days roughly corresponding to most of Iraq plus Kuwait, the eastern parts of Syria, Southeastern Turkey, and regions along the Turkish -- Syrian and Iran -- Iraq borders.
Document 9: History of mathematics: Babylonian mathematics refers to any mathematics of the peoples of Mesopotamia (modern Iraq) from the days of the early Sumerians through the Hellenistic period almost to the dawn of Christianity. The majority of Babylonian mathematical work comes from two widely separated periods: The first few hundred years of the second millennium BC (Old Babylonian period), and the last few centuries of the first millennium BC (Seleucid period). It is named Babylonian mathematics due to the central role of Babylon as a place of study. Later under the Arab Empire, Mesopotamia, especially Baghdad, once again became an important center of study for Islamic mathematics.
Document 10: History of science: From their beginnings in Sumer (now Iraq) around 3500 BC, the Mesopotamian people began to attempt to record some observations of the world with numerical data. But their observations and measurements were seemingly taken for purposes other than for elucidating scientific laws. A concrete instance of Pythagoras' law was recorded, as early as the 18th century BC: the Mesopotamian cuneiform tablet Plimpton 322 records a number of Pythagorean triplets (3,4,5) (5,12,13). ..., dated 1900 BC, possibly millennia before Pythagoras,  but an abstract formulation of the Pythagorean theorem was not.
Document 11: Translation: Translation of material into Arabic expanded after the creation of Arabic script in the 5th century, and gained great importance with the rise of Islam and Islamic empires. Arab translation initially focused primarily on politics, rendering Persian, Greek, even Chinese and Indic diplomatic materials into Arabic. It later focused on translating classical Greek and Persian works, as well as some Chinese and Indian texts, into Arabic for scholarly study at major Islamic learning centers, such as the Al-Karaouine (Fes, Morocco), Al-Azhar (Cairo, Egypt), and the Al-Nizamiyya of Baghdad. In terms of theory, Arabic translation drew heavily on earlier Near Eastern traditions as well as more contemporary Greek and Persian traditions.
Document 12: Ancient Near East: The ancient Near East was the home of early civilizations within a region roughly corresponding to the modern Middle East: Mesopotamia (modern Iraq, southeast Turkey, southwest Iran, northeastern Syria and Kuwait), ancient Egypt, ancient Iran (Elam, Media, Parthia and Persia), Anatolia / Asia Minor and Armenian Highlands (Turkey's Eastern Anatolia Region, Armenia, northwestern Iran, southern Georgia, and western Azerbaijan), the Levant (modern Syria, Lebanon, Palestine, Israel, and Jordan), Cyprus and the Arabian Peninsula. The ancient Near East is studied in the fields of Near Eastern archaeology and ancient history.
Document 13: Middle Ages: Religious beliefs in the Eastern Empire and Persia were in flux during the late 6th and early 7th centuries. Judaism was an active proselytising faith, and at least one Arab political leader converted to it.[J] Christianity had active missions competing with the Persians' Zoroastrianism in seeking converts, especially among residents of the Arabian Peninsula. All these strands came together with the emergence of Islam in Arabia during the lifetime of Muhammad (d. 632). After his death, Islamic forces conquered much of the Eastern Empire and Persia, starting with Syria in 634–635 and reaching Egypt in 640–641, Persia between 637 and 642, North Africa in the later 7th century, and the Iberian Peninsula in 711. By 714, Islamic forces controlled much of the peninsula in a region they called Al-Andalus.
Document 14: Madrasa: From around 750, during the Abbasid Caliphate, women “became renowned for their brains as well as their beauty”. In particular, many well known women of the time were trained from childhood in music, dancing and poetry. Mahbuba was one of these. Another feminine figure to be remembered for her achievements was Tawaddud, "a slave girl who was said to have been bought at great cost by Hārūn al-Rashīd because she had passed her examinations by the most eminent scholars in astronomy, medicine, law, philosophy, music, history, Arabic grammar, literature, theology and chess". Moreover, among the most prominent feminine figures was Shuhda who was known as "the Scholar" or "the Pride of Women" during the 12th century in Baghdad. Despite the recognition of women's aptitudes during the Abbasid dynasty, all these came to an end in Iraq with the sack of Baghdad in 1258.
Document 15: History of science: In Babylonian astronomy, records of the motions of the stars, planets, and the moon are left on thousands of clay tablets created by scribes. Even today, astronomical periods identified by Mesopotamian proto-scientists are still widely used in Western calendars such as the solar year and the lunar month. Using these data they developed arithmetical methods to compute the changing length of daylight in the course of the year and to predict the appearances and disappearances of the Moon and planets and eclipses of the Sun and Moon. Only a few astronomers' names are known, such as that of Kidinnu, a Chaldean astronomer and mathematician. Kiddinu's value for the solar year is in use for today's calendars. Babylonian astronomy was "the first and highly successful attempt at giving a refined mathematical description of astronomical phenomena." According to the historian A. Aaboe, "all subsequent varieties of scientific astronomy, in the Hellenistic world, in India, in Islam, and in the West—if not indeed all subsequent endeavour in the exact sciences—depend upon Babylonian astronomy in decisive and fundamental ways."
ground_truth: Islamic mathematics
sub_queries: What was the capital of the Abbasid state? Answer: Baghdad
What subject was studied in Baghdad ? Answer: Islamic mathematics