Question: The Empire was established in 1336 by Harihara I and his brother Bukka Raya I of Sangama Dynasty. The empire rose to prominence as a culmination of attempts by the southern powers to ward off Islamic invasions by the end of the 13th century. The empire is named after its capital city of Vijayanagara, whose ruins surround present day Hampi, now a World Heritage Site in Karnataka, India. The empire's legacy includes many monuments spread over South India, the best known of which is the group at Hampi. The previous temple building traditions in South India came together in the Vijayanagara Architecture style. The mingling of all faiths and vernaculars inspired architectural innovation of Hindu temple construction, first in the Deccan and later in the Dravidian idioms using the local granite. South Indian mathematics flourished under the protection of the Vijayanagara Empire in Kerala. The south Indian mathematician Madhava of Sangamagrama founded the famous Kerala school of astronomy and mathematics in the 14th century which produced a lot of great south Indian mathematicians like Parameshvara, Nilakantha Somayaji and Jyeṣṭhadeva in medieval south India. Efficient administration and vigorous overseas trade brought new technologies such as water management systems for irrigation. The empire's patronage enabled fine arts and literature to reach new heights in Kannada, Telugu, Tamil and Sanskrit, while Carnatic music evolved into its current form. The Vijayanagara Empire created an epoch in South Indian history that transcended regionalism by promoting Hinduism as a unifying factor. The empire reached its peak during the rule of Sri Krishnadevaraya when Vijayanagara armies were consistently victorious. The empire annexed areas formerly under the Sultanates in the northern Deccan and the territories in the eastern Deccan, including Kalinga, while simultaneously maintaining control over all its subordinates in the south. Many important monuments were either completed or commissioned during the time of Krishna Deva Raya. Vijayanagara went into decline after the defeat in the Battle of Talikota (1565).
Try to answer this question if possible: What mathematician founded the Kerala school of astronomy? 
Answer: Madhava of Sangamagrama
Question: In the English language, the capitalized form of God continues to represent a distinction between monotheistic "God" and "gods" in polytheism. The English word God and its counterparts in other languages are normally used for any and all conceptions and, in spite of significant differences between religions, the term remains an English translation common to all. The same holds for Hebrew El, but in Judaism, God is also given a proper name, the tetragrammaton YHWH, in origin possibly the name of an Edomite or Midianite deity, Yahweh. In many translations of the Bible, when the word LORD is in all capitals, it signifies that the word represents the tetragrammaton.
Try to answer this question if possible: What does it mean to read the word LORD in all capitals in the Bible?
Answer: signifies that the word represents the tetragrammaton
Question: Missionary efforts to Scandinavia during the 9th and 10th centuries helped strengthen the growth of kingdoms such as Sweden, Denmark, and Norway, which gained power and territory. Some kings converted to Christianity, although not all by 1000. Scandinavians also expanded and colonised throughout Europe. Besides the settlements in Ireland, England, and Normandy, further settlement took place in what became Russia and in Iceland. Swedish traders and raiders ranged down the rivers of the Russian steppe, and even attempted to seize Constantinople in 860 and 907. Christian Spain, initially driven into a small section of the peninsula in the north, expanded slowly south during the 9th and 10th centuries, establishing the kingdoms of Asturias and León.
Try to answer this question if possible: Along with the kingdom of León, what Spanish kingdom was established during this period?
Answer: Asturias
Question: Between the 8th and 18th centuries, the use of glazed ceramics was prevalent in Islamic art, usually assuming the form of elaborate pottery. Tin-opacified glazing was one of the earliest new technologies developed by the Islamic potters. The first Islamic opaque glazes can be found as blue-painted ware in Basra, dating to around the 8th century. Another contribution was the development of stone-paste ceramics, originating from 9th century Iraq. Other centers for innovative ceramic pottery in the Old world included Fustat (from 975 to 1075), Damascus (from 1100 to around 1600) and Tabriz (from 1470 to 1550).
Try to answer this question if possible: Which ceramic glazing was developed by those potters which were Islamic?
Answer:
Tin-opacified glazing