Search Results: Lipschitz continuity

The cataclysmic end of the Roman Empire in the West has tended to mask the underlying features of continuity. The map of Europe in the year 500 would have been unrecognizable to anyone living a hundred years earlier. Gone was the solid boundary...

The Byzantine Emperor ruled as an absolute monarch in an institution which lasted from the 4th to 15th century CE. Aided by ministers, high-ranking nobility, and key church figures, the emperor (and sometimes empress) was commander-in-chief...

A symbol is an image or object which represents an abstract concept, often having to do with one's religious beliefs. Every civilization, from the most ancient to the present, has made use of symbols to make the abstract concrete and visible...

The Solomonic Dynasty ruled Ethiopia from the 1270s to the 1970s, and the 14th-century work, the Kebra Nagast (The Glory of the Kings) famously tells of how the dynasty of Ethiopian kings descended from King Solomon himself. The descent from...

The Byzantine Empire existed from 330 to 1453. It is often called the Eastern Roman Empire or simply Byzantium. The Byzantine capital was founded at Constantinople by Constantine I (r. 306-337). The Byzantine Empire varied in size over the...

The government of ancient Persia was based on an efficient bureaucracy which combined the centralization of power with the decentralization of administration. The Achaemenid Empire (c. 550-330 BCE) founded by Cyrus the Great (r. c. 550-530...

In the study of the ancient world a City is generally defined as a large populated urban center of commerce and administration with a system of laws and, usually, regulated means of sanitation. This is only one definition, however, and the...

Hagia Sophia in Istanbul, constructed 532-537, continues to be revered as one of the most important structures in the world. Hagia Sophia (Greek Ἁγία Σοφία, for 'Holy Wisdom') was designed to be the major basilica of the Byzantine Empire...

The Wheel of the Year is a symbol of the eight Sabbats (religious festivals) of Neo-Paganism and the Wicca movement which includes four solar festivals - Winter Solstice, Spring Equinox, Summer Solstice, Fall Equinox - and four seasonal festivals...

Mary II of England (r. 1689-1694) ruled jointly with her husband William III of England (r. 1689-1702) until her death from smallpox. While William suffered a xenophobic reaction to his rule, Mary represented the continuity of the Royal House...