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Sills, Beverly

(Encyclopedia)Sills, Beverly, 1929–2007, American coloratura soprano, b. Brooklyn, N.Y., as Belle Silverman. Her childhood career as a radio singer (when she was first nicknamed “Bubbles”) led to voice studie...

calculus of variations

(Encyclopedia)calculus of variations, branch of mathematics concerned with finding maximum or minimum conditions for a relationship between two or more variables that depends not only on the variables themselves, a...

Bouillon, Henri de La Tour d'Auvergne, vicomte de Turenne, duc de

(Encyclopedia)Bouillon, Henri de La Tour d'Auvergne, vicomte de Turenne, duc de dük də bo͞oyôNˈ [key], 1555–1623, marshal of France, diplomat, and Protestant leader. He served with Henry IV against the Cath...

pi

(Encyclopedia)pi, in mathematics, the ratio of the circumference of a circle to its diameter. The symbol for pi is π. The ratio is the same for all circles and is approximately 3.1416. It is of great importance in...

Swiss literature

(Encyclopedia)Swiss literature. The literature of Switzerland is written in German, French, Italian, and Romansh, with German predominating. The extensive literature in Romansh dialect (see Rhaeto-Romanic) is littl...

Engels, Friedrich

(Encyclopedia)Engels, Friedrich frēˈdrĭkh ĕngˈəls [key], 1820–95, German socialist; with Karl Marx, one of the founders of modern Communism (see communism). The son of a wealthy Rhenish textile manufacturer...

Koch

(Encyclopedia)Koch kōk [key], family of American industrialists and philanthropists. Fred Chase Koch, 1900–1967, b. Quanah, Tex., grad. Massachusetts Institute of Technology, 1922, was a Wichita, Kans., entrepre...

counterpoint

(Encyclopedia)counterpoint, in music, the art of combining melodies each of which is independent though forming part of a homogeneous texture. The term derives from the Latin for “point against point,” meaning ...

Old Catholics

(Encyclopedia)Old Catholics, Christian denomination established by German Catholics who separated themselves from the Roman Catholic Church when they rejected (1870) the decrees of the First Vatican Council, especi...

West, Benjamin

(Encyclopedia)West, Benjamin, 1738–1820, American historical painter who worked in England. He was born in Springfield, Pa., in a house that is now a memorial museum at Swarthmore College. After some instruction ...