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A false relation (also known as cross-relation, non-harmonic relation) is the name of a type of dissonance that sometimes occurs in polyphonic music, most commonly in vocal music of the Renaissance and particularly in English music into the eighteenth century.
The Renaissance of the 12th century was a period of many changes at the outset of the High Middle Ages. It included social , political and economic transformations, and an intellectual revitalization of Western Europe with strong philosophical and scientific roots.
Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.
During the Renaissance, great advances occurred in geography, astronomy, chemistry, physics, mathematics, manufacturing, anatomy and engineering. The collection of ancient scientific texts began in earnest at the start of the 15th century and continued up to the Fall of Constantinople in 1453, and the invention of printing allowed a faster ...
Polymaths include the great scholars and thinkers of the Renaissance and Enlightenment, who excelled at several fields in science, technology, engineering, mathematics, and the arts. In the Italian Renaissance , the idea of the polymath was allegedly expressed by Leon Battista Alberti (1404–1472), a polymath himself, in the statement that "a ...
In economics, a complementary good is a good whose appeal increases with the popularity of its complement. [ further explanation needed ] Technically, it displays a negative cross elasticity of demand and that demand for it increases when the price of another good decreases. [ 1 ]
Economic graphs are presented only in the first quadrant of the Cartesian plane when the variables conceptually can only take on non-negative values (such as the quantity of a product that is produced). Even though the axes refer to numerical variables, specific values are often not introduced if a conceptual point is being made that would ...
The Renaissance was not a period of great social or economic change, only of cultural and ideological development. It only touched a small fraction of the population, and in modern times this has led many historians, such as any that follow historical materialism , to reduce the importance of the Renaissance in human history.